%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GRP128-2.006 : TPTP v9.0.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 06:25:12 PM UTC 2025
% Result : Unsatisfiable 228.77s 208.33s
% Output : CNFRefutation 244.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 78
% Number of leaves : 57
% Syntax : Number of formulae : 13636 (7228 unt; 0 typ; 0 def)
% Number of atoms : 27741 ( 0 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 20577 (6472 ~;14105 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 3433 (3433 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > next > greater > equalish > group_element > #nlpp > e_6 > e_5 > e_4 > e_3 > e_2 > e_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(group_element,type,
group_element: $i > $o ).
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(e_2,type,
e_2: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(next,type,
next: ( $i * $i ) > $o ).
tff(e_6,type,
e_6: $i ).
tff(e_4,type,
e_4: $i ).
tff(e_3,type,
e_3: $i ).
tff(equalish,type,
equalish: ( $i * $i ) > $o ).
tff(e_1,type,
e_1: $i ).
tff(e_5,type,
e_5: $i ).
tff(f_88,axiom,
~ equalish(e_3,e_2),
file(unknown,unknown) ).
tff(f_66,axiom,
~ equalish(e_1,e_2),
file(unknown,unknown) ).
tff(f_59,axiom,
group_element(e_1),
file(unknown,unknown) ).
tff(f_30,axiom,
next(e_1,e_2),
file(unknown,unknown) ).
tff(f_142,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(X,Y,e_1)
| product(X,Y,e_2)
| product(X,Y,e_3)
| product(X,Y,e_4)
| product(X,Y,e_5)
| product(X,Y,e_6) ),
file(unknown,unknown) ).
tff(f_43,axiom,
greater(e_6,e_2),
file(unknown,unknown) ).
tff(f_58,axiom,
! [X,Y,X1] :
( ~ product(X,e_1,Y)
| ~ next(X,X1)
| ~ greater(Y,X1) ),
file(unknown,unknown) ).
tff(f_42,axiom,
greater(e_5,e_2),
file(unknown,unknown) ).
tff(f_41,axiom,
greater(e_4,e_2),
file(unknown,unknown) ).
tff(f_40,axiom,
greater(e_3,e_2),
file(unknown,unknown) ).
tff(f_60,axiom,
group_element(e_2),
file(unknown,unknown) ).
tff(f_31,axiom,
next(e_2,e_3),
file(unknown,unknown) ).
tff(f_46,axiom,
greater(e_6,e_3),
file(unknown,unknown) ).
tff(f_45,axiom,
greater(e_5,e_3),
file(unknown,unknown) ).
tff(f_44,axiom,
greater(e_4,e_3),
file(unknown,unknown) ).
tff(f_174,axiom,
! [X,Y,Z1,Z2] :
( ~ product(X,Y,Z1)
| ~ product(Z1,Y,Z2)
| product(X,Z1,Z2) ),
file(unknown,unknown) ).
tff(f_166,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_150,axiom,
! [X,Y,W,Z] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_76,axiom,
~ equalish(e_2,e_1),
file(unknown,unknown) ).
tff(f_158,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file(unknown,unknown) ).
tff(f_86,axiom,
~ equalish(e_3,e_1),
file(unknown,unknown) ).
tff(f_116,axiom,
~ equalish(e_6,e_1),
file(unknown,unknown) ).
tff(f_61,axiom,
group_element(e_3),
file(unknown,unknown) ).
tff(f_32,axiom,
next(e_3,e_4),
file(unknown,unknown) ).
tff(f_94,axiom,
~ equalish(e_3,e_6),
file(unknown,unknown) ).
tff(f_114,axiom,
~ equalish(e_5,e_6),
file(unknown,unknown) ).
tff(f_104,axiom,
~ equalish(e_4,e_6),
file(unknown,unknown) ).
tff(f_78,axiom,
~ equalish(e_2,e_3),
file(unknown,unknown) ).
tff(f_90,axiom,
~ equalish(e_3,e_4),
file(unknown,unknown) ).
tff(f_124,axiom,
~ equalish(e_6,e_5),
file(unknown,unknown) ).
tff(f_112,axiom,
~ equalish(e_5,e_4),
file(unknown,unknown) ).
tff(f_82,axiom,
~ equalish(e_2,e_5),
file(unknown,unknown) ).
tff(f_110,axiom,
~ equalish(e_5,e_3),
file(unknown,unknown) ).
tff(f_108,axiom,
~ equalish(e_5,e_2),
file(unknown,unknown) ).
tff(f_68,axiom,
~ equalish(e_1,e_3),
file(unknown,unknown) ).
tff(f_70,axiom,
~ equalish(e_1,e_4),
file(unknown,unknown) ).
tff(f_72,axiom,
~ equalish(e_1,e_5),
file(unknown,unknown) ).
tff(f_106,axiom,
~ equalish(e_5,e_1),
file(unknown,unknown) ).
tff(f_84,axiom,
~ equalish(e_2,e_6),
file(unknown,unknown) ).
tff(f_33,axiom,
next(e_4,e_5),
file(unknown,unknown) ).
tff(f_96,axiom,
~ equalish(e_4,e_1),
file(unknown,unknown) ).
tff(f_98,axiom,
~ equalish(e_4,e_2),
file(unknown,unknown) ).
tff(f_118,axiom,
~ equalish(e_6,e_2),
file(unknown,unknown) ).
tff(f_48,axiom,
greater(e_6,e_4),
file(unknown,unknown) ).
tff(f_47,axiom,
greater(e_5,e_4),
file(unknown,unknown) ).
tff(f_35,axiom,
greater(e_2,e_1),
file(unknown,unknown) ).
tff(f_100,axiom,
~ equalish(e_4,e_3),
file(unknown,unknown) ).
tff(f_120,axiom,
~ equalish(e_6,e_3),
file(unknown,unknown) ).
tff(f_80,axiom,
~ equalish(e_2,e_4),
file(unknown,unknown) ).
tff(f_122,axiom,
~ equalish(e_6,e_4),
file(unknown,unknown) ).
tff(f_64,axiom,
group_element(e_6),
file(unknown,unknown) ).
tff(f_62,axiom,
group_element(e_4),
file(unknown,unknown) ).
tff(f_49,axiom,
greater(e_6,e_5),
file(unknown,unknown) ).
tff(f_74,axiom,
~ equalish(e_1,e_6),
file(unknown,unknown) ).
tff(f_63,axiom,
group_element(e_5),
file(unknown,unknown) ).
tff(f_102,axiom,
~ equalish(e_4,e_5),
file(unknown,unknown) ).
tff(f_92,axiom,
~ equalish(e_3,e_5),
file(unknown,unknown) ).
tff(c_78,plain,
~ equalish(e_3,e_2),
inference(cnfTransformation,[status(thm)],[f_88]) ).
tff(c_56,plain,
~ equalish(e_1,e_2),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_44,plain,
group_element(e_1),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_2,plain,
next(e_1,e_2),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_190,plain,
! [X_56,Y_57] :
( product(X_56,Y_57,e_6)
| product(X_56,Y_57,e_5)
| product(X_56,Y_57,e_4)
| product(X_56,Y_57,e_3)
| product(X_56,Y_57,e_2)
| product(X_56,Y_57,e_1)
| ~ group_element(Y_57)
| ~ group_element(X_56) ),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_28,plain,
greater(e_6,e_2),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_125,plain,
! [Y_22,X1_23,X_24] :
( ~ greater(Y_22,X1_23)
| ~ next(X_24,X1_23)
| ~ product(X_24,e_1,Y_22) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_162,plain,
! [X_24] :
( ~ next(X_24,e_2)
| ~ product(X_24,e_1,e_6) ),
inference(resolution,[status(thm)],[c_28,c_125]) ).
tff(c_200,plain,
! [X_56] :
( ~ next(X_56,e_2)
| product(X_56,e_1,e_5)
| product(X_56,e_1,e_4)
| product(X_56,e_1,e_3)
| product(X_56,e_1,e_2)
| product(X_56,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(X_56) ),
inference(resolution,[status(thm)],[c_190,c_162]) ).
tff(c_709,plain,
! [X_106] :
( ~ next(X_106,e_2)
| product(X_106,e_1,e_5)
| product(X_106,e_1,e_4)
| product(X_106,e_1,e_3)
| product(X_106,e_1,e_2)
| product(X_106,e_1,e_1)
| ~ group_element(X_106) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_200]) ).
tff(c_26,plain,
greater(e_5,e_2),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_158,plain,
! [X_24] :
( ~ next(X_24,e_2)
| ~ product(X_24,e_1,e_5) ),
inference(resolution,[status(thm)],[c_26,c_125]) ).
tff(c_807,plain,
! [X_111] :
( ~ next(X_111,e_2)
| product(X_111,e_1,e_4)
| product(X_111,e_1,e_3)
| product(X_111,e_1,e_2)
| product(X_111,e_1,e_1)
| ~ group_element(X_111) ),
inference(resolution,[status(thm)],[c_709,c_158]) ).
tff(c_24,plain,
greater(e_4,e_2),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_157,plain,
! [X_24] :
( ~ next(X_24,e_2)
| ~ product(X_24,e_1,e_4) ),
inference(resolution,[status(thm)],[c_24,c_125]) ).
tff(c_869,plain,
! [X_112] :
( ~ next(X_112,e_2)
| product(X_112,e_1,e_3)
| product(X_112,e_1,e_2)
| product(X_112,e_1,e_1)
| ~ group_element(X_112) ),
inference(resolution,[status(thm)],[c_807,c_157]) ).
tff(c_22,plain,
greater(e_3,e_2),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_166,plain,
! [X_24] :
( ~ next(X_24,e_2)
| ~ product(X_24,e_1,e_3) ),
inference(resolution,[status(thm)],[c_22,c_125]) ).
tff(c_934,plain,
! [X_113] :
( ~ next(X_113,e_2)
| product(X_113,e_1,e_2)
| product(X_113,e_1,e_1)
| ~ group_element(X_113) ),
inference(resolution,[status(thm)],[c_869,c_166]) ).
tff(c_46,plain,
group_element(e_2),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_4,plain,
next(e_2,e_3),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_34,plain,
greater(e_6,e_3),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_164,plain,
! [X_24] :
( ~ next(X_24,e_3)
| ~ product(X_24,e_1,e_6) ),
inference(resolution,[status(thm)],[c_34,c_125]) ).
tff(c_196,plain,
! [X_56] :
( ~ next(X_56,e_3)
| product(X_56,e_1,e_5)
| product(X_56,e_1,e_4)
| product(X_56,e_1,e_3)
| product(X_56,e_1,e_2)
| product(X_56,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(X_56) ),
inference(resolution,[status(thm)],[c_190,c_164]) ).
tff(c_238,plain,
! [X_58] :
( ~ next(X_58,e_3)
| product(X_58,e_1,e_5)
| product(X_58,e_1,e_4)
| product(X_58,e_1,e_3)
| product(X_58,e_1,e_2)
| product(X_58,e_1,e_1)
| ~ group_element(X_58) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_196]) ).
tff(c_32,plain,
greater(e_5,e_3),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_165,plain,
! [X_24] :
( ~ next(X_24,e_3)
| ~ product(X_24,e_1,e_5) ),
inference(resolution,[status(thm)],[c_32,c_125]) ).
tff(c_267,plain,
! [X_59] :
( ~ next(X_59,e_3)
| product(X_59,e_1,e_4)
| product(X_59,e_1,e_3)
| product(X_59,e_1,e_2)
| product(X_59,e_1,e_1)
| ~ group_element(X_59) ),
inference(resolution,[status(thm)],[c_238,c_165]) ).
tff(c_30,plain,
greater(e_4,e_3),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_156,plain,
! [X_24] :
( ~ next(X_24,e_3)
| ~ product(X_24,e_1,e_4) ),
inference(resolution,[status(thm)],[c_30,c_125]) ).
tff(c_296,plain,
! [X_62] :
( ~ next(X_62,e_3)
| product(X_62,e_1,e_3)
| product(X_62,e_1,e_2)
| product(X_62,e_1,e_1)
| ~ group_element(X_62) ),
inference(resolution,[status(thm)],[c_267,c_156]) ).
tff(c_315,plain,
! [X_62] :
( ~ next(X_62,e_2)
| ~ next(X_62,e_3)
| product(X_62,e_1,e_2)
| product(X_62,e_1,e_1)
| ~ group_element(X_62) ),
inference(resolution,[status(thm)],[c_296,c_166]) ).
tff(c_124,plain,
! [X_18,Z1_20,Z2_21,Y_19] :
( product(X_18,Z1_20,Z2_21)
| ~ product(Z1_20,Y_19,Z2_21)
| ~ product(X_18,Y_19,Z1_20) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_469,plain,
! [X_92,X_93] :
( product(X_92,X_93,e_3)
| ~ product(X_92,e_1,X_93)
| ~ next(X_93,e_3)
| product(X_93,e_1,e_2)
| product(X_93,e_1,e_1)
| ~ group_element(X_93) ),
inference(resolution,[status(thm)],[c_296,c_124]) ).
tff(c_471,plain,
! [X_62] :
( product(X_62,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2)
| ~ next(X_62,e_2)
| ~ next(X_62,e_3)
| product(X_62,e_1,e_1)
| ~ group_element(X_62) ),
inference(resolution,[status(thm)],[c_315,c_469]) ).
tff(c_479,plain,
! [X_62] :
( product(X_62,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ next(X_62,e_2)
| ~ next(X_62,e_3)
| product(X_62,e_1,e_1)
| ~ group_element(X_62) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_471]) ).
tff(c_503,plain,
product(e_2,e_1,e_1),
inference(splitLeft,[status(thm)],[c_479]) ).
tff(c_545,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_503,c_124]) ).
tff(c_657,plain,
! [X_101] :
( product(X_101,e_2,e_1)
| ~ product(X_101,e_1,e_2) ),
inference(resolution,[status(thm)],[c_503,c_124]) ).
tff(c_789,plain,
! [X_109,X_110] :
( product(X_109,X_110,e_1)
| ~ product(X_109,e_2,X_110)
| ~ product(X_110,e_1,e_2) ),
inference(resolution,[status(thm)],[c_657,c_124]) ).
tff(c_795,plain,
! [X_18] :
( product(X_18,e_1,e_1)
| ~ product(e_1,e_1,e_2)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_545,c_789]) ).
tff(c_799,plain,
~ product(e_1,e_1,e_2),
inference(splitLeft,[status(thm)],[c_795]) ).
tff(c_937,plain,
( ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_934,c_799]) ).
tff(c_974,plain,
product(e_1,e_1,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_937]) ).
tff(c_122,plain,
! [W_14,Z_17,Y_15,X_16] :
( equalish(W_14,Z_17)
| ~ product(Z_17,Y_15,X_16)
| ~ product(W_14,Y_15,X_16) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_547,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_1) ),
inference(resolution,[status(thm)],[c_503,c_122]) ).
tff(c_1079,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_974,c_547]) ).
tff(c_1105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_1079]) ).
tff(c_1107,plain,
product(e_1,e_1,e_2),
inference(splitRight,[status(thm)],[c_795]) ).
tff(c_1234,plain,
! [X_118] :
( product(X_118,e_1,e_1)
| ~ product(X_118,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_795]) ).
tff(c_1241,plain,
product(e_1,e_1,e_1),
inference(resolution,[status(thm)],[c_1107,c_1234]) ).
tff(c_118,plain,
! [W_8,Z_9,X_6,Y_7] :
( equalish(W_8,Z_9)
| ~ product(X_6,Y_7,Z_9)
| ~ product(X_6,Y_7,W_8) ),
inference(cnfTransformation,[status(thm)],[f_150]) ).
tff(c_1165,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_1,e_1,W_8) ),
inference(resolution,[status(thm)],[c_1107,c_118]) ).
tff(c_1245,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_1241,c_1165]) ).
tff(c_1274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_1245]) ).
tff(c_1276,plain,
~ product(e_2,e_1,e_1),
inference(splitRight,[status(thm)],[c_479]) ).
tff(c_66,plain,
~ equalish(e_2,e_1),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_1275,plain,
! [X_62] :
( product(e_2,e_1,e_2)
| product(X_62,e_2,e_3)
| ~ next(X_62,e_2)
| ~ next(X_62,e_3)
| product(X_62,e_1,e_1)
| ~ group_element(X_62) ),
inference(splitRight,[status(thm)],[c_479]) ).
tff(c_1335,plain,
product(e_2,e_1,e_2),
inference(splitLeft,[status(thm)],[c_1275]) ).
tff(c_1459,plain,
! [X_123] :
( product(X_123,e_2,e_2)
| ~ product(X_123,e_1,e_2) ),
inference(resolution,[status(thm)],[c_1335,c_124]) ).
tff(c_120,plain,
! [W_11,Z_13,X_10,Y_12] :
( equalish(W_11,Z_13)
| ~ product(X_10,Z_13,Y_12)
| ~ product(X_10,W_11,Y_12) ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_1394,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1335,c_120]) ).
tff(c_1463,plain,
( equalish(e_2,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[c_1459,c_1394]) ).
tff(c_1480,plain,
equalish(e_2,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1335,c_1463]) ).
tff(c_1482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1480]) ).
tff(c_1484,plain,
~ product(e_2,e_1,e_2),
inference(splitRight,[status(thm)],[c_1275]) ).
tff(c_76,plain,
~ equalish(e_3,e_1),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_106,plain,
~ equalish(e_6,e_1),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_48,plain,
group_element(e_3),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_6,plain,
next(e_3,e_4),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_84,plain,
~ equalish(e_3,e_6),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_104,plain,
~ equalish(e_5,e_6),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_94,plain,
~ equalish(e_4,e_6),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_68,plain,
~ equalish(e_2,e_3),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_80,plain,
~ equalish(e_3,e_4),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_114,plain,
~ equalish(e_6,e_5),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_102,plain,
~ equalish(e_5,e_4),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_72,plain,
~ equalish(e_2,e_5),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_100,plain,
~ equalish(e_5,e_3),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_98,plain,
~ equalish(e_5,e_2),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_58,plain,
~ equalish(e_1,e_3),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_60,plain,
~ equalish(e_1,e_4),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_62,plain,
~ equalish(e_1,e_5),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_96,plain,
~ equalish(e_5,e_1),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_291,plain,
! [X_59] :
( ~ next(X_59,e_3)
| product(X_59,e_1,e_3)
| product(X_59,e_1,e_2)
| product(X_59,e_1,e_1)
| ~ group_element(X_59) ),
inference(resolution,[status(thm)],[c_267,c_156]) ).
tff(c_74,plain,
~ equalish(e_2,e_6),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_8,plain,
next(e_4,e_5),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_86,plain,
~ equalish(e_4,e_1),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_88,plain,
~ equalish(e_4,e_2),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_108,plain,
~ equalish(e_6,e_2),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_1529,plain,
! [X_127] :
( ~ next(X_127,e_2)
| product(X_127,e_1,e_5)
| product(X_127,e_1,e_4)
| product(X_127,e_1,e_3)
| product(X_127,e_1,e_2)
| product(X_127,e_1,e_1)
| ~ group_element(X_127) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_200]) ).
tff(c_1617,plain,
! [X_134] :
( ~ next(X_134,e_2)
| product(X_134,e_1,e_4)
| product(X_134,e_1,e_3)
| product(X_134,e_1,e_2)
| product(X_134,e_1,e_1)
| ~ group_element(X_134) ),
inference(resolution,[status(thm)],[c_1529,c_158]) ).
tff(c_1671,plain,
! [X_135] :
( ~ next(X_135,e_2)
| product(X_135,e_1,e_3)
| product(X_135,e_1,e_2)
| product(X_135,e_1,e_1)
| ~ group_element(X_135) ),
inference(resolution,[status(thm)],[c_1617,c_157]) ).
tff(c_1732,plain,
! [X_136] :
( ~ next(X_136,e_2)
| product(X_136,e_1,e_2)
| product(X_136,e_1,e_1)
| ~ group_element(X_136) ),
inference(resolution,[status(thm)],[c_1671,c_166]) ).
tff(c_219,plain,
! [X_18,X_56,Y_57] :
( product(X_18,X_56,e_6)
| ~ product(X_18,Y_57,X_56)
| product(X_56,Y_57,e_5)
| product(X_56,Y_57,e_4)
| product(X_56,Y_57,e_3)
| product(X_56,Y_57,e_2)
| product(X_56,Y_57,e_1)
| ~ group_element(Y_57)
| ~ group_element(X_56) ),
inference(resolution,[status(thm)],[c_190,c_124]) ).
tff(c_1737,plain,
! [X_136] :
( product(X_136,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2)
| ~ next(X_136,e_2)
| product(X_136,e_1,e_1)
| ~ group_element(X_136) ),
inference(resolution,[status(thm)],[c_1732,c_219]) ).
tff(c_1769,plain,
! [X_136] :
( product(X_136,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ next(X_136,e_2)
| product(X_136,e_1,e_1)
| ~ group_element(X_136) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_1737]) ).
tff(c_1770,plain,
! [X_136] :
( product(X_136,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| ~ next(X_136,e_2)
| product(X_136,e_1,e_1)
| ~ group_element(X_136) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1769]) ).
tff(c_6219,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1770]) ).
tff(c_6338,plain,
! [X_18] :
( product(X_18,e_2,e_3)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_6219,c_124]) ).
tff(c_6555,plain,
! [X_291] :
( product(X_291,e_2,e_3)
| ~ product(X_291,e_1,e_2) ),
inference(resolution,[status(thm)],[c_6219,c_124]) ).
tff(c_6725,plain,
! [X_298,X_299] :
( product(X_298,X_299,e_3)
| ~ product(X_298,e_2,X_299)
| ~ product(X_299,e_1,e_2) ),
inference(resolution,[status(thm)],[c_6555,c_124]) ).
tff(c_6761,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_2)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_6338,c_6725]) ).
tff(c_6795,plain,
~ product(e_3,e_1,e_2),
inference(splitLeft,[status(thm)],[c_6761]) ).
tff(c_38,plain,
greater(e_6,e_4),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_160,plain,
! [X_24] :
( ~ next(X_24,e_4)
| ~ product(X_24,e_1,e_6) ),
inference(resolution,[status(thm)],[c_38,c_125]) ).
tff(c_206,plain,
! [X_56] :
( ~ next(X_56,e_4)
| product(X_56,e_1,e_5)
| product(X_56,e_1,e_4)
| product(X_56,e_1,e_3)
| product(X_56,e_1,e_2)
| product(X_56,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(X_56) ),
inference(resolution,[status(thm)],[c_190,c_160]) ).
tff(c_1277,plain,
! [X_119] :
( ~ next(X_119,e_4)
| product(X_119,e_1,e_5)
| product(X_119,e_1,e_4)
| product(X_119,e_1,e_3)
| product(X_119,e_1,e_2)
| product(X_119,e_1,e_1)
| ~ group_element(X_119) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_206]) ).
tff(c_36,plain,
greater(e_5,e_4),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_163,plain,
! [X_24] :
( ~ next(X_24,e_4)
| ~ product(X_24,e_1,e_5) ),
inference(resolution,[status(thm)],[c_36,c_125]) ).
tff(c_2572,plain,
! [X_174] :
( ~ next(X_174,e_4)
| product(X_174,e_1,e_4)
| product(X_174,e_1,e_3)
| product(X_174,e_1,e_2)
| product(X_174,e_1,e_1)
| ~ group_element(X_174) ),
inference(resolution,[status(thm)],[c_1277,c_163]) ).
tff(c_2637,plain,
! [X_18,X_174] :
( product(X_18,X_174,e_4)
| ~ product(X_18,e_1,X_174)
| ~ next(X_174,e_4)
| product(X_174,e_1,e_3)
| product(X_174,e_1,e_2)
| product(X_174,e_1,e_1)
| ~ group_element(X_174) ),
inference(resolution,[status(thm)],[c_2572,c_124]) ).
tff(c_6225,plain,
( product(e_2,e_3,e_4)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_6219,c_2637]) ).
tff(c_6281,plain,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_6225]) ).
tff(c_7050,plain,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_6795,c_6281]) ).
tff(c_7051,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_7050]) ).
tff(c_12,plain,
greater(e_2,e_1),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_170,plain,
! [X_24] :
( ~ next(X_24,e_1)
| ~ product(X_24,e_1,e_2) ),
inference(resolution,[status(thm)],[c_12,c_125]) ).
tff(c_1791,plain,
! [X_136] :
( ~ next(X_136,e_1)
| ~ next(X_136,e_2)
| product(X_136,e_1,e_1)
| ~ group_element(X_136) ),
inference(resolution,[status(thm)],[c_1732,c_170]) ).
tff(c_2154,plain,
! [X_161,X_162] :
( product(X_161,X_162,e_2)
| ~ product(X_161,e_1,X_162)
| ~ next(X_162,e_2)
| product(X_162,e_1,e_1)
| ~ group_element(X_162) ),
inference(resolution,[status(thm)],[c_1732,c_124]) ).
tff(c_2160,plain,
! [X_136] :
( product(X_136,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1)
| ~ next(X_136,e_1)
| ~ next(X_136,e_2)
| ~ group_element(X_136) ),
inference(resolution,[status(thm)],[c_1791,c_2154]) ).
tff(c_2178,plain,
! [X_136] :
( product(X_136,e_1,e_2)
| product(e_1,e_1,e_1)
| ~ next(X_136,e_1)
| ~ next(X_136,e_2)
| ~ group_element(X_136) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_2160]) ).
tff(c_2204,plain,
product(e_1,e_1,e_1),
inference(splitLeft,[status(thm)],[c_2178]) ).
tff(c_2268,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_1,e_1) ),
inference(resolution,[status(thm)],[c_2204,c_122]) ).
tff(c_7094,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_7051,c_2268]) ).
tff(c_7169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_7094]) ).
tff(c_7171,plain,
~ product(e_3,e_1,e_1),
inference(splitRight,[status(thm)],[c_7050]) ).
tff(c_6248,plain,
( product(e_2,e_3,e_6)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_6219,c_219]) ).
tff(c_6321,plain,
( product(e_2,e_3,e_6)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_44,c_6248]) ).
tff(c_8761,plain,
( product(e_2,e_3,e_6)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_7171,c_6795,c_6321]) ).
tff(c_8762,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_8761]) ).
tff(c_6341,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_6219,c_122]) ).
tff(c_8781,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_8762,c_6341]) ).
tff(c_8868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_8781]) ).
tff(c_8870,plain,
~ product(e_3,e_1,e_3),
inference(splitRight,[status(thm)],[c_8761]) ).
tff(c_90,plain,
~ equalish(e_4,e_3),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_110,plain,
~ equalish(e_6,e_3),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_70,plain,
~ equalish(e_2,e_4),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_112,plain,
~ equalish(e_6,e_4),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_54,plain,
group_element(e_6),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_116,plain,
! [X_4,Y_5] :
( product(X_4,Y_5,e_6)
| product(X_4,Y_5,e_5)
| product(X_4,Y_5,e_4)
| product(X_4,Y_5,e_3)
| product(X_4,Y_5,e_2)
| product(X_4,Y_5,e_1)
| ~ group_element(Y_5)
| ~ group_element(X_4) ),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_486,plain,
! [X_94,X_95,Y_96] :
( product(X_94,X_95,e_6)
| ~ product(X_94,Y_96,X_95)
| product(X_95,Y_96,e_5)
| product(X_95,Y_96,e_4)
| product(X_95,Y_96,e_3)
| product(X_95,Y_96,e_2)
| product(X_95,Y_96,e_1)
| ~ group_element(Y_96)
| ~ group_element(X_95) ),
inference(resolution,[status(thm)],[c_190,c_124]) ).
tff(c_492,plain,
! [X_4,Y_5] :
( product(X_4,e_6,e_6)
| product(e_6,Y_5,e_5)
| product(e_6,Y_5,e_4)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(e_6)
| product(X_4,Y_5,e_5)
| product(X_4,Y_5,e_4)
| product(X_4,Y_5,e_3)
| product(X_4,Y_5,e_2)
| product(X_4,Y_5,e_1)
| ~ group_element(Y_5)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_116,c_486]) ).
tff(c_501,plain,
! [X_4,Y_5] :
( product(X_4,e_6,e_6)
| product(e_6,Y_5,e_5)
| product(e_6,Y_5,e_4)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| product(X_4,Y_5,e_5)
| product(X_4,Y_5,e_4)
| product(X_4,Y_5,e_3)
| product(X_4,Y_5,e_2)
| product(X_4,Y_5,e_1)
| ~ group_element(Y_5)
| ~ group_element(X_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_492]) ).
tff(c_2381,plain,
! [Y_5] :
( product(e_6,e_6,e_6)
| product(e_6,Y_5,e_4)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(Y_5)
| ~ group_element(e_6)
| product(e_6,Y_5,e_5) ),
inference(factorization,[status(thm),theory(equality)],[c_501]) ).
tff(c_2393,plain,
! [Y_5] :
( product(e_6,e_6,e_6)
| product(e_6,Y_5,e_4)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(Y_5)
| product(e_6,Y_5,e_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_2381]) ).
tff(c_4806,plain,
product(e_6,e_6,e_6),
inference(splitLeft,[status(thm)],[c_2393]) ).
tff(c_4859,plain,
! [W_242] :
( equalish(W_242,e_6)
| ~ product(W_242,e_6,e_6) ),
inference(resolution,[status(thm)],[c_4806,c_122]) ).
tff(c_4869,plain,
! [X_4] :
( equalish(X_4,e_6)
| product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_116,c_4859]) ).
tff(c_4875,plain,
! [X_4] :
( equalish(X_4,e_6)
| product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(X_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_4869]) ).
tff(c_7170,plain,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_7050]) ).
tff(c_7257,plain,
product(e_2,e_3,e_4),
inference(splitLeft,[status(thm)],[c_7170]) ).
tff(c_8869,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_5)
| product(e_2,e_3,e_6) ),
inference(splitRight,[status(thm)],[c_8761]) ).
tff(c_8878,plain,
product(e_2,e_3,e_6),
inference(splitLeft,[status(thm)],[c_8869]) ).
tff(c_7286,plain,
! [W_8] :
( equalish(W_8,e_4)
| ~ product(e_2,e_3,W_8) ),
inference(resolution,[status(thm)],[c_7257,c_118]) ).
tff(c_8881,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_8878,c_7286]) ).
tff(c_8901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_8881]) ).
tff(c_8902,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_8869]) ).
tff(c_8910,plain,
product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_8902]) ).
tff(c_9231,plain,
! [X_353] :
( product(X_353,e_3,e_4)
| ~ product(X_353,e_1,e_3) ),
inference(resolution,[status(thm)],[c_8910,c_124]) ).
tff(c_9416,plain,
! [X_361,X_362] :
( product(X_361,X_362,e_4)
| ~ product(X_361,e_3,X_362)
| ~ product(X_362,e_1,e_3) ),
inference(resolution,[status(thm)],[c_9231,c_124]) ).
tff(c_9453,plain,
( product(e_2,e_4,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[c_7257,c_9416]) ).
tff(c_9486,plain,
~ product(e_4,e_1,e_3),
inference(splitLeft,[status(thm)],[c_9453]) ).
tff(c_50,plain,
group_element(e_4),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_40,plain,
greater(e_6,e_5),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_159,plain,
! [X_24] :
( ~ next(X_24,e_5)
| ~ product(X_24,e_1,e_6) ),
inference(resolution,[status(thm)],[c_40,c_125]) ).
tff(c_216,plain,
! [X_56] :
( ~ next(X_56,e_5)
| product(X_56,e_1,e_5)
| product(X_56,e_1,e_4)
| product(X_56,e_1,e_3)
| product(X_56,e_1,e_2)
| product(X_56,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(X_56) ),
inference(resolution,[status(thm)],[c_190,c_159]) ).
tff(c_1888,plain,
! [X_139] :
( ~ next(X_139,e_5)
| product(X_139,e_1,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_216]) ).
tff(c_13187,plain,
! [X_437,X_438] :
( product(X_437,X_438,e_5)
| ~ product(X_437,e_1,X_438)
| ~ next(X_438,e_5)
| product(X_438,e_1,e_4)
| product(X_438,e_1,e_3)
| product(X_438,e_1,e_2)
| product(X_438,e_1,e_1)
| ~ group_element(X_438) ),
inference(resolution,[status(thm)],[c_1888,c_124]) ).
tff(c_13201,plain,
( product(e_3,e_4,e_5)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_8910,c_13187]) ).
tff(c_13283,plain,
( product(e_3,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_13201]) ).
tff(c_13284,plain,
( product(e_3,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_9486,c_13283]) ).
tff(c_13367,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_13284]) ).
tff(c_13430,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_13367,c_2268]) ).
tff(c_13544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_13430]) ).
tff(c_13545,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_13284]) ).
tff(c_13725,plain,
product(e_3,e_4,e_5),
inference(splitLeft,[status(thm)],[c_13545]) ).
tff(c_64,plain,
~ equalish(e_1,e_6),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_226,plain,
! [W_11,Y_57,X_56] :
( equalish(W_11,Y_57)
| ~ product(X_56,W_11,e_6)
| product(X_56,Y_57,e_5)
| product(X_56,Y_57,e_4)
| product(X_56,Y_57,e_3)
| product(X_56,Y_57,e_2)
| product(X_56,Y_57,e_1)
| ~ group_element(Y_57)
| ~ group_element(X_56) ),
inference(resolution,[status(thm)],[c_190,c_120]) ).
tff(c_4814,plain,
! [Y_57] :
( equalish(e_6,Y_57)
| product(e_6,Y_57,e_5)
| product(e_6,Y_57,e_4)
| product(e_6,Y_57,e_3)
| product(e_6,Y_57,e_2)
| product(e_6,Y_57,e_1)
| ~ group_element(Y_57)
| ~ group_element(e_6) ),
inference(resolution,[status(thm)],[c_4806,c_226]) ).
tff(c_4834,plain,
! [Y_57] :
( equalish(e_6,Y_57)
| product(e_6,Y_57,e_5)
| product(e_6,Y_57,e_4)
| product(e_6,Y_57,e_3)
| product(e_6,Y_57,e_2)
| product(e_6,Y_57,e_1)
| ~ group_element(Y_57) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_4814]) ).
tff(c_13829,plain,
! [W_442] :
( equalish(W_442,e_3)
| ~ product(W_442,e_4,e_5) ),
inference(resolution,[status(thm)],[c_13725,c_122]) ).
tff(c_13840,plain,
( equalish(e_6,e_3)
| equalish(e_6,e_4)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_4834,c_13829]) ).
tff(c_13879,plain,
( equalish(e_6,e_3)
| equalish(e_6,e_4)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_13840]) ).
tff(c_13880,plain,
( product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_110,c_13879]) ).
tff(c_13962,plain,
product(e_6,e_4,e_1),
inference(splitLeft,[status(thm)],[c_13880]) ).
tff(c_14143,plain,
! [X_448] :
( product(X_448,e_6,e_1)
| ~ product(X_448,e_4,e_6) ),
inference(resolution,[status(thm)],[c_13962,c_124]) ).
tff(c_2267,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_1,W_11,e_1) ),
inference(resolution,[status(thm)],[c_2204,c_120]) ).
tff(c_14164,plain,
( equalish(e_6,e_1)
| ~ product(e_1,e_4,e_6) ),
inference(resolution,[status(thm)],[c_14143,c_2267]) ).
tff(c_14197,plain,
~ product(e_1,e_4,e_6),
inference(negUnitSimplification,[status(thm)],[c_106,c_14164]) ).
tff(c_14217,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_14197]) ).
tff(c_14220,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_14217]) ).
tff(c_14684,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_14220]) ).
tff(c_14009,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_13962,c_122]) ).
tff(c_14689,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_14684,c_14009]) ).
tff(c_14719,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_14689]) ).
tff(c_14720,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_14220]) ).
tff(c_14729,plain,
product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_14720]) ).
tff(c_13753,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_4,e_5) ),
inference(resolution,[status(thm)],[c_13725,c_122]) ).
tff(c_14732,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_14729,c_13753]) ).
tff(c_14750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_14732]) ).
tff(c_14751,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_14720]) ).
tff(c_14796,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_14751]) ).
tff(c_14994,plain,
! [X_470] :
( product(X_470,e_1,e_2)
| ~ product(X_470,e_4,e_1) ),
inference(resolution,[status(thm)],[c_14796,c_124]) ).
tff(c_14998,plain,
product(e_6,e_1,e_2),
inference(resolution,[status(thm)],[c_13962,c_14994]) ).
tff(c_16033,plain,
! [X_477] :
( product(X_477,e_6,e_2)
| ~ product(X_477,e_1,e_6) ),
inference(resolution,[status(thm)],[c_14998,c_124]) ).
tff(c_14205,plain,
! [X_18,X_448] :
( product(X_18,X_448,e_1)
| ~ product(X_18,e_6,X_448)
| ~ product(X_448,e_4,e_6) ),
inference(resolution,[status(thm)],[c_14143,c_124]) ).
tff(c_16090,plain,
! [X_477] :
( product(X_477,e_2,e_1)
| ~ product(e_2,e_4,e_6)
| ~ product(X_477,e_1,e_6) ),
inference(resolution,[status(thm)],[c_16033,c_14205]) ).
tff(c_18622,plain,
~ product(e_2,e_4,e_6),
inference(splitLeft,[status(thm)],[c_16090]) ).
tff(c_18625,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_18622]) ).
tff(c_18628,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_18625]) ).
tff(c_28037,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_18628]) ).
tff(c_14858,plain,
! [X_18] :
( product(X_18,e_1,e_2)
| ~ product(X_18,e_4,e_1) ),
inference(resolution,[status(thm)],[c_14796,c_124]) ).
tff(c_28070,plain,
product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[c_28037,c_14858]) ).
tff(c_28130,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1484,c_28070]) ).
tff(c_28131,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_18628]) ).
tff(c_28133,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_28131]) ).
tff(c_28144,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_28133,c_13753]) ).
tff(c_28176,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_28144]) ).
tff(c_28177,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_28131]) ).
tff(c_28273,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_28177]) ).
tff(c_14860,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_4,e_2) ),
inference(resolution,[status(thm)],[c_14796,c_122]) ).
tff(c_28280,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_28273,c_14860]) ).
tff(c_28316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_28280]) ).
tff(c_28317,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_28177]) ).
tff(c_28327,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_28317]) ).
tff(c_9281,plain,
! [W_11,X_353] :
( equalish(W_11,e_3)
| ~ product(X_353,W_11,e_4)
| ~ product(X_353,e_1,e_3) ),
inference(resolution,[status(thm)],[c_9231,c_120]) ).
tff(c_28331,plain,
( equalish(e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_28327,c_9281]) ).
tff(c_28355,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_28331]) ).
tff(c_28357,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_28355]) ).
tff(c_28358,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_28317]) ).
tff(c_6339,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_2,W_11,e_3) ),
inference(resolution,[status(thm)],[c_6219,c_120]) ).
tff(c_28385,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_28358,c_6339]) ).
tff(c_28442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_28385]) ).
tff(c_28444,plain,
product(e_2,e_4,e_6),
inference(splitRight,[status(thm)],[c_16090]) ).
tff(c_230,plain,
! [W_14,X_56,Y_57] :
( equalish(W_14,X_56)
| ~ product(W_14,Y_57,e_6)
| product(X_56,Y_57,e_5)
| product(X_56,Y_57,e_4)
| product(X_56,Y_57,e_3)
| product(X_56,Y_57,e_2)
| product(X_56,Y_57,e_1)
| ~ group_element(Y_57)
| ~ group_element(X_56) ),
inference(resolution,[status(thm)],[c_190,c_122]) ).
tff(c_4810,plain,
! [X_56] :
( equalish(e_6,X_56)
| product(X_56,e_6,e_5)
| product(X_56,e_6,e_4)
| product(X_56,e_6,e_3)
| product(X_56,e_6,e_2)
| product(X_56,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(X_56) ),
inference(resolution,[status(thm)],[c_4806,c_230]) ).
tff(c_4828,plain,
! [X_56] :
( equalish(e_6,X_56)
| product(X_56,e_6,e_5)
| product(X_56,e_6,e_4)
| product(X_56,e_6,e_3)
| product(X_56,e_6,e_2)
| product(X_56,e_6,e_1)
| ~ group_element(X_56) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_4810]) ).
tff(c_13755,plain,
! [W_441] :
( equalish(W_441,e_4)
| ~ product(e_3,W_441,e_5) ),
inference(resolution,[status(thm)],[c_13725,c_120]) ).
tff(c_13766,plain,
( equalish(e_6,e_4)
| equalish(e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_4828,c_13755]) ).
tff(c_13805,plain,
( equalish(e_6,e_4)
| equalish(e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_13766]) ).
tff(c_13806,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_110,c_112,c_13805]) ).
tff(c_14458,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_13806]) ).
tff(c_14207,plain,
! [W_14,X_448] :
( equalish(W_14,X_448)
| ~ product(W_14,e_6,e_1)
| ~ product(X_448,e_4,e_6) ),
inference(resolution,[status(thm)],[c_14143,c_122]) ).
tff(c_14493,plain,
! [X_448] :
( equalish(e_3,X_448)
| ~ product(X_448,e_4,e_6) ),
inference(resolution,[status(thm)],[c_14458,c_14207]) ).
tff(c_28458,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_28444,c_14493]) ).
tff(c_28495,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_28458]) ).
tff(c_28496,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_14751]) ).
tff(c_28498,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_28496]) ).
tff(c_28660,plain,
! [X_703] :
( product(X_703,e_1,e_4)
| ~ product(X_703,e_4,e_1) ),
inference(resolution,[status(thm)],[c_28498,c_124]) ).
tff(c_28664,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_13962,c_28660]) ).
tff(c_9059,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_8910,c_122]) ).
tff(c_28683,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_28664,c_9059]) ).
tff(c_28782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_28683]) ).
tff(c_28783,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_28496]) ).
tff(c_29369,plain,
! [X_710] :
( product(X_710,e_1,e_3)
| ~ product(X_710,e_4,e_1) ),
inference(resolution,[status(thm)],[c_28783,c_124]) ).
tff(c_29373,plain,
product(e_6,e_1,e_3),
inference(resolution,[status(thm)],[c_13962,c_29369]) ).
tff(c_9398,plain,
! [W_358,X_359] :
( equalish(W_358,X_359)
| ~ product(W_358,e_3,e_4)
| ~ product(X_359,e_1,e_3) ),
inference(resolution,[status(thm)],[c_9231,c_122]) ).
tff(c_9404,plain,
! [X_359] :
( equalish(e_2,X_359)
| ~ product(X_359,e_1,e_3) ),
inference(resolution,[status(thm)],[c_7257,c_9398]) ).
tff(c_29403,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_29373,c_9404]) ).
tff(c_29528,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_29403]) ).
tff(c_29529,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_13806]) ).
tff(c_29541,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_29529]) ).
tff(c_9058,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_4) ),
inference(resolution,[status(thm)],[c_8910,c_120]) ).
tff(c_29551,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_29541,c_9058]) ).
tff(c_29574,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_29551]) ).
tff(c_29575,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_29529]) ).
tff(c_29577,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_29575]) ).
tff(c_29609,plain,
( product(e_3,e_2,e_1)
| ~ product(e_2,e_4,e_6) ),
inference(resolution,[status(thm)],[c_29577,c_14205]) ).
tff(c_29808,plain,
~ product(e_2,e_4,e_6),
inference(splitLeft,[status(thm)],[c_29609]) ).
tff(c_29811,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_29808]) ).
tff(c_29814,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_29811]) ).
tff(c_42898,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_29814]) ).
tff(c_29818,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_14220]) ).
tff(c_29830,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_29818,c_14009]) ).
tff(c_29860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_29830]) ).
tff(c_29861,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_14220]) ).
tff(c_29863,plain,
product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_29861]) ).
tff(c_29866,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_29863,c_13753]) ).
tff(c_29884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_29866]) ).
tff(c_29885,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_29861]) ).
tff(c_29930,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_29885]) ).
tff(c_29992,plain,
! [X_18] :
( product(X_18,e_1,e_2)
| ~ product(X_18,e_4,e_1) ),
inference(resolution,[status(thm)],[c_29930,c_124]) ).
tff(c_43327,plain,
product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[c_42898,c_29992]) ).
tff(c_43389,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1484,c_43327]) ).
tff(c_43390,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_29814]) ).
tff(c_43392,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_43390]) ).
tff(c_43411,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_43392,c_13753]) ).
tff(c_43443,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_43411]) ).
tff(c_43444,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_43390]) ).
tff(c_43489,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_43444]) ).
tff(c_29994,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_4,e_2) ),
inference(resolution,[status(thm)],[c_29930,c_122]) ).
tff(c_43498,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_43489,c_29994]) ).
tff(c_43536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_43498]) ).
tff(c_43537,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_43444]) ).
tff(c_43943,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_43537]) ).
tff(c_43949,plain,
( equalish(e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_43943,c_9281]) ).
tff(c_43977,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_43949]) ).
tff(c_43979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_43977]) ).
tff(c_43980,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_43537]) ).
tff(c_44017,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_43980,c_6339]) ).
tff(c_44078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_44017]) ).
tff(c_44079,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_29885]) ).
tff(c_44081,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_44079]) ).
tff(c_44243,plain,
! [X_953] :
( product(X_953,e_1,e_4)
| ~ product(X_953,e_4,e_1) ),
inference(resolution,[status(thm)],[c_44081,c_124]) ).
tff(c_44247,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_13962,c_44243]) ).
tff(c_44266,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_44247,c_9059]) ).
tff(c_44365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_44266]) ).
tff(c_44366,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_44079]) ).
tff(c_44951,plain,
! [X_960] :
( product(X_960,e_1,e_3)
| ~ product(X_960,e_4,e_1) ),
inference(resolution,[status(thm)],[c_44366,c_124]) ).
tff(c_44955,plain,
product(e_6,e_1,e_3),
inference(resolution,[status(thm)],[c_13962,c_44951]) ).
tff(c_44984,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_44955,c_9404]) ).
tff(c_45109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_44984]) ).
tff(c_45110,plain,
product(e_3,e_2,e_1),
inference(splitRight,[status(thm)],[c_29609]) ).
tff(c_45600,plain,
! [X_968] :
( product(X_968,e_3,e_1)
| ~ product(X_968,e_2,e_3) ),
inference(resolution,[status(thm)],[c_45110,c_124]) ).
tff(c_14008,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_6,W_11,e_1) ),
inference(resolution,[status(thm)],[c_13962,c_120]) ).
tff(c_45610,plain,
( equalish(e_3,e_4)
| ~ product(e_6,e_2,e_3) ),
inference(resolution,[status(thm)],[c_45600,c_14008]) ).
tff(c_45653,plain,
~ product(e_6,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_80,c_45610]) ).
tff(c_45787,plain,
~ product(e_6,e_1,e_2),
inference(resolution,[status(thm)],[c_6338,c_45653]) ).
tff(c_46448,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_14220]) ).
tff(c_46678,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_46448,c_14009]) ).
tff(c_46710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_46678]) ).
tff(c_46711,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_14220]) ).
tff(c_46746,plain,
product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_46711]) ).
tff(c_46749,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_46746,c_13753]) ).
tff(c_46767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_46749]) ).
tff(c_46768,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_46711]) ).
tff(c_46813,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_46768]) ).
tff(c_47278,plain,
! [X_990] :
( product(X_990,e_1,e_2)
| ~ product(X_990,e_4,e_1) ),
inference(resolution,[status(thm)],[c_46813,c_124]) ).
tff(c_47281,plain,
product(e_6,e_1,e_2),
inference(resolution,[status(thm)],[c_13962,c_47278]) ).
tff(c_47285,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45787,c_47281]) ).
tff(c_47286,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_46768]) ).
tff(c_47289,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_47286]) ).
tff(c_47430,plain,
! [X_994] :
( product(X_994,e_1,e_4)
| ~ product(X_994,e_4,e_1) ),
inference(resolution,[status(thm)],[c_47289,c_124]) ).
tff(c_47434,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_13962,c_47430]) ).
tff(c_47453,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_47434,c_9059]) ).
tff(c_47552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_47453]) ).
tff(c_47553,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_47286]) ).
tff(c_48082,plain,
! [X_1001] :
( product(X_1001,e_1,e_3)
| ~ product(X_1001,e_4,e_1) ),
inference(resolution,[status(thm)],[c_47553,c_124]) ).
tff(c_48086,plain,
product(e_6,e_1,e_3),
inference(resolution,[status(thm)],[c_13962,c_48082]) ).
tff(c_48341,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_48086,c_9404]) ).
tff(c_48467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_48341]) ).
tff(c_48468,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_29575]) ).
tff(c_48826,plain,
! [X_1005] :
( product(X_1005,e_3,e_3)
| ~ product(X_1005,e_6,e_3) ),
inference(resolution,[status(thm)],[c_48468,c_124]) ).
tff(c_48830,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_48468,c_48826]) ).
tff(c_48636,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_48468,c_120]) ).
tff(c_48833,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_48830,c_48636]) ).
tff(c_48874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_48833]) ).
tff(c_48876,plain,
~ product(e_6,e_4,e_1),
inference(splitRight,[status(thm)],[c_13880]) ).
tff(c_13546,plain,
~ product(e_4,e_1,e_1),
inference(splitRight,[status(thm)],[c_13284]) ).
tff(c_48875,plain,
( product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_13880]) ).
tff(c_48877,plain,
product(e_6,e_4,e_4),
inference(splitLeft,[status(thm)],[c_48875]) ).
tff(c_48908,plain,
! [X_18] :
( product(X_18,e_6,e_4)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_48877,c_124]) ).
tff(c_49062,plain,
! [X_1009] :
( product(X_1009,e_6,e_4)
| ~ product(X_1009,e_4,e_6) ),
inference(resolution,[status(thm)],[c_48877,c_124]) ).
tff(c_49300,plain,
! [X_1017,X_1018] :
( product(X_1017,X_1018,e_4)
| ~ product(X_1017,e_6,X_1018)
| ~ product(X_1018,e_4,e_6) ),
inference(resolution,[status(thm)],[c_49062,c_124]) ).
tff(c_49342,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_4,e_6)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_48908,c_49300]) ).
tff(c_49377,plain,
~ product(e_4,e_4,e_6),
inference(splitLeft,[status(thm)],[c_49342]) ).
tff(c_49380,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_49377]) ).
tff(c_49383,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_49380]) ).
tff(c_49753,plain,
product(e_4,e_4,e_1),
inference(splitLeft,[status(thm)],[c_49383]) ).
tff(c_7284,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_2,W_11,e_4) ),
inference(resolution,[status(thm)],[c_7257,c_120]) ).
tff(c_49076,plain,
( equalish(e_6,e_3)
| ~ product(e_2,e_4,e_6) ),
inference(resolution,[status(thm)],[c_49062,c_7284]) ).
tff(c_49106,plain,
~ product(e_2,e_4,e_6),
inference(negUnitSimplification,[status(thm)],[c_110,c_49076]) ).
tff(c_49139,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_49106]) ).
tff(c_49142,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_49139]) ).
tff(c_49578,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_49142]) ).
tff(c_49625,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_49578,c_122]) ).
tff(c_49756,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_49753,c_49625]) ).
tff(c_49781,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_49756]) ).
tff(c_49782,plain,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_49383]) ).
tff(c_49784,plain,
product(e_4,e_4,e_5),
inference(splitLeft,[status(thm)],[c_49782]) ).
tff(c_49788,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_49784,c_13753]) ).
tff(c_49806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_49788]) ).
tff(c_49807,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_49782]) ).
tff(c_49852,plain,
product(e_4,e_4,e_2),
inference(splitLeft,[status(thm)],[c_49807]) ).
tff(c_50456,plain,
! [X_1036] :
( product(X_1036,e_4,e_2)
| ~ product(X_1036,e_4,e_4) ),
inference(resolution,[status(thm)],[c_49852,c_124]) ).
tff(c_50460,plain,
product(e_6,e_4,e_2),
inference(resolution,[status(thm)],[c_48877,c_50456]) ).
tff(c_49928,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_4,e_2) ),
inference(resolution,[status(thm)],[c_49852,c_122]) ).
tff(c_50463,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_50460,c_49928]) ).
tff(c_50499,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_50463]) ).
tff(c_50500,plain,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_49807]) ).
tff(c_50502,plain,
product(e_4,e_4,e_4),
inference(splitLeft,[status(thm)],[c_50500]) ).
tff(c_48910,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_4) ),
inference(resolution,[status(thm)],[c_48877,c_122]) ).
tff(c_50508,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_50502,c_48910]) ).
tff(c_50530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_50508]) ).
tff(c_50531,plain,
product(e_4,e_4,e_3),
inference(splitRight,[status(thm)],[c_50500]) ).
tff(c_6604,plain,
! [W_11,X_291] :
( equalish(W_11,e_2)
| ~ product(X_291,W_11,e_3)
| ~ product(X_291,e_1,e_2) ),
inference(resolution,[status(thm)],[c_6555,c_120]) ).
tff(c_50551,plain,
( equalish(e_4,e_2)
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c_50531,c_6604]) ).
tff(c_50599,plain,
~ product(e_4,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_88,c_50551]) ).
tff(c_13751,plain,
! [X_18] :
( product(X_18,e_3,e_5)
| ~ product(X_18,e_4,e_3) ),
inference(resolution,[status(thm)],[c_13725,c_124]) ).
tff(c_50568,plain,
product(e_4,e_3,e_5),
inference(resolution,[status(thm)],[c_50531,c_13751]) ).
tff(c_1940,plain,
! [W_11,X_139] :
( equalish(W_11,e_1)
| ~ product(X_139,W_11,e_5)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(resolution,[status(thm)],[c_1888,c_120]) ).
tff(c_50674,plain,
( equalish(e_3,e_1)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_50568,c_1940]) ).
tff(c_50692,plain,
( equalish(e_3,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_50674]) ).
tff(c_50693,plain,
product(e_4,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_13546,c_50599,c_9486,c_76,c_50692]) ).
tff(c_50725,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_50693,c_9059]) ).
tff(c_50825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_50725]) ).
tff(c_50826,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_49142]) ).
tff(c_50828,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_50826]) ).
tff(c_50831,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_50828,c_13753]) ).
tff(c_50849,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_50831]) ).
tff(c_50850,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_50826]) ).
tff(c_50896,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_50850]) ).
tff(c_51095,plain,
! [X_1040] :
( product(X_1040,e_2,e_2)
| ~ product(X_1040,e_4,e_2) ),
inference(resolution,[status(thm)],[c_50896,c_124]) ).
tff(c_51099,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_50896,c_51095]) ).
tff(c_50960,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_50896,c_120]) ).
tff(c_51102,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_51099,c_50960]) ).
tff(c_51164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_51102]) ).
tff(c_51165,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_50850]) ).
tff(c_51168,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_51165]) ).
tff(c_51173,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_51168,c_48910]) ).
tff(c_51198,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_51173]) ).
tff(c_51199,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_51165]) ).
tff(c_51230,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_51199,c_6339]) ).
tff(c_51281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_51230]) ).
tff(c_51283,plain,
product(e_4,e_4,e_6),
inference(splitRight,[status(thm)],[c_49342]) ).
tff(c_51412,plain,
! [X_1045] :
( product(X_1045,e_4,e_4)
| ~ product(X_1045,e_4,e_6) ),
inference(splitRight,[status(thm)],[c_49342]) ).
tff(c_51420,plain,
product(e_4,e_4,e_4),
inference(resolution,[status(thm)],[c_51283,c_51412]) ).
tff(c_51320,plain,
! [W_8] :
( equalish(W_8,e_6)
| ~ product(e_4,e_4,W_8) ),
inference(resolution,[status(thm)],[c_51283,c_118]) ).
tff(c_51426,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_51420,c_51320]) ).
tff(c_51451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_51426]) ).
tff(c_51453,plain,
~ product(e_6,e_4,e_4),
inference(splitRight,[status(thm)],[c_48875]) ).
tff(c_4839,plain,
! [W_241] :
( equalish(W_241,e_6)
| ~ product(e_6,W_241,e_6) ),
inference(resolution,[status(thm)],[c_4806,c_120]) ).
tff(c_4850,plain,
! [Y_5] :
( equalish(Y_5,e_6)
| product(e_6,Y_5,e_5)
| product(e_6,Y_5,e_4)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(Y_5)
| ~ group_element(e_6) ),
inference(resolution,[status(thm)],[c_116,c_4839]) ).
tff(c_4858,plain,
! [Y_5] :
( equalish(Y_5,e_6)
| product(e_6,Y_5,e_5)
| product(e_6,Y_5,e_4)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(Y_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_4850]) ).
tff(c_13836,plain,
( equalish(e_6,e_3)
| equalish(e_4,e_6)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_4858,c_13829]) ).
tff(c_13875,plain,
( equalish(e_6,e_3)
| equalish(e_4,e_6)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_13836]) ).
tff(c_13876,plain,
( product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_94,c_110,c_13875]) ).
tff(c_51454,plain,
( product(e_6,e_4,e_3)
| product(e_6,e_4,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_48876,c_51453,c_13876]) ).
tff(c_51455,plain,
product(e_6,e_4,e_2),
inference(splitLeft,[status(thm)],[c_51454]) ).
tff(c_51517,plain,
! [X_18] :
( product(X_18,e_6,e_2)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_51455,c_124]) ).
tff(c_51678,plain,
! [X_1049] :
( product(X_1049,e_6,e_2)
| ~ product(X_1049,e_4,e_6) ),
inference(resolution,[status(thm)],[c_51455,c_124]) ).
tff(c_51915,plain,
! [X_1056,X_1057] :
( product(X_1056,X_1057,e_2)
| ~ product(X_1056,e_6,X_1057)
| ~ product(X_1057,e_4,e_6) ),
inference(resolution,[status(thm)],[c_51678,c_124]) ).
tff(c_51957,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_4,e_6)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_51517,c_51915]) ).
tff(c_51992,plain,
~ product(e_2,e_4,e_6),
inference(splitLeft,[status(thm)],[c_51957]) ).
tff(c_51995,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_51992]) ).
tff(c_51998,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_51995]) ).
tff(c_61034,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_51998]) ).
tff(c_61191,plain,
! [X_1211] :
( product(X_1211,e_2,e_1)
| ~ product(X_1211,e_4,e_2) ),
inference(resolution,[status(thm)],[c_61034,c_124]) ).
tff(c_61195,plain,
product(e_6,e_2,e_1),
inference(resolution,[status(thm)],[c_51455,c_61191]) ).
tff(c_61561,plain,
! [X_1215] :
( product(X_1215,e_6,e_1)
| ~ product(X_1215,e_2,e_6) ),
inference(resolution,[status(thm)],[c_61195,c_124]) ).
tff(c_52007,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_13806]) ).
tff(c_52262,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_51998]) ).
tff(c_51747,plain,
! [X_18,X_1049] :
( product(X_18,X_1049,e_2)
| ~ product(X_18,e_6,X_1049)
| ~ product(X_1049,e_4,e_6) ),
inference(resolution,[status(thm)],[c_51678,c_124]) ).
tff(c_52010,plain,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_4,e_6) ),
inference(resolution,[status(thm)],[c_52007,c_51747]) ).
tff(c_52037,plain,
~ product(e_1,e_4,e_6),
inference(negUnitSimplification,[status(thm)],[c_6795,c_52010]) ).
tff(c_52077,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_52037]) ).
tff(c_52080,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_52077]) ).
tff(c_54348,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_52080]) ).
tff(c_52309,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_52262,c_122]) ).
tff(c_54353,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_54348,c_52309]) ).
tff(c_54383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_54353]) ).
tff(c_54384,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_52080]) ).
tff(c_54386,plain,
product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_54384]) ).
tff(c_54389,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_54386,c_13753]) ).
tff(c_54407,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_54389]) ).
tff(c_54408,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_54384]) ).
tff(c_54454,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_54408]) ).
tff(c_51519,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_2) ),
inference(resolution,[status(thm)],[c_51455,c_122]) ).
tff(c_54462,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_54454,c_51519]) ).
tff(c_54495,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_54462]) ).
tff(c_54496,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_54408]) ).
tff(c_54505,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_54496]) ).
tff(c_54669,plain,
! [X_1102] :
( product(X_1102,e_1,e_4)
| ~ product(X_1102,e_4,e_1) ),
inference(resolution,[status(thm)],[c_54505,c_124]) ).
tff(c_54673,plain,
product(e_2,e_1,e_4),
inference(resolution,[status(thm)],[c_52262,c_54669]) ).
tff(c_54696,plain,
( equalish(e_1,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_54673,c_9281]) ).
tff(c_54800,plain,
equalish(e_1,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_54696]) ).
tff(c_54802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_54800]) ).
tff(c_54803,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_54496]) ).
tff(c_54846,plain,
product(e_1,e_3,e_5),
inference(resolution,[status(thm)],[c_54803,c_13751]) ).
tff(c_55198,plain,
! [W_1109] :
( equalish(W_1109,e_3)
| ~ product(e_1,W_1109,e_5) ),
inference(resolution,[status(thm)],[c_54846,c_120]) ).
tff(c_55205,plain,
( equalish(e_6,e_3)
| equalish(e_1,e_6)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_4875,c_55198]) ).
tff(c_55244,plain,
( equalish(e_6,e_3)
| equalish(e_1,e_6)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_55205]) ).
tff(c_55245,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_110,c_55244]) ).
tff(c_55353,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_55245]) ).
tff(c_52066,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_52007,c_122]) ).
tff(c_55366,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_55353,c_52066]) ).
tff(c_55406,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_55366]) ).
tff(c_55408,plain,
~ product(e_1,e_6,e_1),
inference(splitRight,[status(thm)],[c_55245]) ).
tff(c_54497,plain,
~ product(e_1,e_4,e_2),
inference(splitRight,[status(thm)],[c_54408]) ).
tff(c_55407,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_55245]) ).
tff(c_55413,plain,
product(e_1,e_6,e_4),
inference(splitLeft,[status(thm)],[c_55407]) ).
tff(c_54409,plain,
~ product(e_1,e_4,e_5),
inference(splitRight,[status(thm)],[c_54384]) ).
tff(c_55692,plain,
( product(e_1,e_4,e_6)
| product(e_4,e_6,e_5)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_55413,c_219]) ).
tff(c_55721,plain,
( product(e_1,e_4,e_6)
| product(e_4,e_6,e_5)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_54,c_55692]) ).
tff(c_55722,plain,
( product(e_4,e_6,e_5)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_52037,c_55721]) ).
tff(c_56938,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_55722]) ).
tff(c_56958,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_56938,c_52066]) ).
tff(c_57001,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_56958]) ).
tff(c_57002,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5) ),
inference(splitRight,[status(thm)],[c_55722]) ).
tff(c_57008,plain,
product(e_4,e_6,e_5),
inference(splitLeft,[status(thm)],[c_57002]) ).
tff(c_57333,plain,
! [X_1149] :
( product(X_1149,e_4,e_5)
| ~ product(X_1149,e_6,e_4) ),
inference(resolution,[status(thm)],[c_57008,c_124]) ).
tff(c_57336,plain,
product(e_1,e_4,e_5),
inference(resolution,[status(thm)],[c_55413,c_57333]) ).
tff(c_57340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54409,c_57336]) ).
tff(c_57341,plain,
( product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_57002]) ).
tff(c_57400,plain,
product(e_4,e_6,e_2),
inference(splitLeft,[status(thm)],[c_57341]) ).
tff(c_57701,plain,
! [X_1155] :
( product(X_1155,e_4,e_2)
| ~ product(X_1155,e_6,e_4) ),
inference(resolution,[status(thm)],[c_57400,c_124]) ).
tff(c_57704,plain,
product(e_1,e_4,e_2),
inference(resolution,[status(thm)],[c_55413,c_57701]) ).
tff(c_57708,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54497,c_57704]) ).
tff(c_57709,plain,
( product(e_4,e_6,e_3)
| product(e_4,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_57341]) ).
tff(c_57715,plain,
product(e_4,e_6,e_4),
inference(splitLeft,[status(thm)],[c_57709]) ).
tff(c_55729,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_6,e_4) ),
inference(resolution,[status(thm)],[c_55413,c_122]) ).
tff(c_57723,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_57715,c_55729]) ).
tff(c_57757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_57723]) ).
tff(c_57758,plain,
product(e_4,e_6,e_3),
inference(splitRight,[status(thm)],[c_57709]) ).
tff(c_52064,plain,
! [X_18] :
( product(X_18,e_3,e_1)
| ~ product(X_18,e_6,e_3) ),
inference(resolution,[status(thm)],[c_52007,c_124]) ).
tff(c_57829,plain,
product(e_4,e_3,e_1),
inference(resolution,[status(thm)],[c_57758,c_52064]) ).
tff(c_54930,plain,
! [X_18] :
( product(X_18,e_1,e_5)
| ~ product(X_18,e_3,e_1) ),
inference(resolution,[status(thm)],[c_54846,c_124]) ).
tff(c_57914,plain,
product(e_4,e_1,e_5),
inference(resolution,[status(thm)],[c_57829,c_54930]) ).
tff(c_59463,plain,
! [X_1182] :
( product(X_1182,e_4,e_5)
| ~ product(X_1182,e_1,e_4) ),
inference(resolution,[status(thm)],[c_57914,c_124]) ).
tff(c_51520,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_6,e_4,W_8) ),
inference(resolution,[status(thm)],[c_51455,c_118]) ).
tff(c_59488,plain,
( equalish(e_5,e_2)
| ~ product(e_6,e_1,e_4) ),
inference(resolution,[status(thm)],[c_59463,c_51520]) ).
tff(c_59533,plain,
~ product(e_6,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_98,c_59488]) ).
tff(c_52419,plain,
! [X_1072] :
( product(X_1072,e_2,e_1)
| ~ product(X_1072,e_4,e_2) ),
inference(resolution,[status(thm)],[c_52262,c_124]) ).
tff(c_52423,plain,
product(e_6,e_2,e_1),
inference(resolution,[status(thm)],[c_51455,c_52419]) ).
tff(c_6606,plain,
! [W_8,X_291] :
( equalish(W_8,e_3)
| ~ product(X_291,e_2,W_8)
| ~ product(X_291,e_1,e_2) ),
inference(resolution,[status(thm)],[c_6555,c_118]) ).
tff(c_52502,plain,
( equalish(e_1,e_3)
| ~ product(e_6,e_1,e_2) ),
inference(resolution,[status(thm)],[c_52423,c_6606]) ).
tff(c_52564,plain,
~ product(e_6,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_58,c_52502]) ).
tff(c_9056,plain,
! [X_18] :
( product(X_18,e_3,e_4)
| ~ product(X_18,e_1,e_3) ),
inference(resolution,[status(thm)],[c_8910,c_124]) ).
tff(c_55272,plain,
! [W_1110] :
( equalish(W_1110,e_1)
| ~ product(W_1110,e_3,e_5) ),
inference(resolution,[status(thm)],[c_54846,c_122]) ).
tff(c_55283,plain,
( equalish(e_6,e_1)
| equalish(e_6,e_3)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_4834,c_55272]) ).
tff(c_55322,plain,
( equalish(e_6,e_1)
| equalish(e_6,e_3)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_55283]) ).
tff(c_55323,plain,
( product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_110,c_106,c_55322]) ).
tff(c_55903,plain,
product(e_6,e_3,e_1),
inference(splitLeft,[status(thm)],[c_55323]) ).
tff(c_52596,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_6,W_11,e_1) ),
inference(resolution,[status(thm)],[c_52423,c_120]) ).
tff(c_55911,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_55903,c_52596]) ).
tff(c_55944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_55911]) ).
tff(c_55945,plain,
( product(e_6,e_3,e_2)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_55323]) ).
tff(c_55947,plain,
product(e_6,e_3,e_4),
inference(splitLeft,[status(thm)],[c_55945]) ).
tff(c_7285,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_3,e_4) ),
inference(resolution,[status(thm)],[c_7257,c_122]) ).
tff(c_55959,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_55947,c_7285]) ).
tff(c_55984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_55959]) ).
tff(c_55986,plain,
~ product(e_6,e_3,e_4),
inference(splitRight,[status(thm)],[c_55945]) ).
tff(c_56004,plain,
~ product(e_6,e_1,e_3),
inference(resolution,[status(thm)],[c_9056,c_55986]) ).
tff(c_58979,plain,
! [W_1169] :
( equalish(W_1169,e_4)
| ~ product(W_1169,e_1,e_5) ),
inference(resolution,[status(thm)],[c_57914,c_122]) ).
tff(c_58986,plain,
( equalish(e_6,e_4)
| equalish(e_1,e_6)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_4858,c_58979]) ).
tff(c_59028,plain,
( equalish(e_6,e_4)
| equalish(e_1,e_6)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_58986]) ).
tff(c_59029,plain,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_52564,c_56004,c_64,c_112,c_59028]) ).
tff(c_59673,plain,
product(e_6,e_1,e_1),
inference(negUnitSimplification,[status(thm)],[c_59533,c_59029]) ).
tff(c_59678,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_59673,c_52596]) ).
tff(c_59769,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_59678]) ).
tff(c_59771,plain,
~ product(e_1,e_6,e_4),
inference(splitRight,[status(thm)],[c_55407]) ).
tff(c_55209,plain,
( equalish(e_6,e_3)
| equalish(e_6,e_1)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_4828,c_55198]) ).
tff(c_55248,plain,
( equalish(e_6,e_3)
| equalish(e_6,e_1)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_55209]) ).
tff(c_55249,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_110,c_55248]) ).
tff(c_59772,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_55408,c_59771,c_55249]) ).
tff(c_59773,plain,
product(e_1,e_6,e_2),
inference(splitLeft,[status(thm)],[c_59772]) ).
tff(c_60053,plain,
! [X_1193] :
( product(X_1193,e_1,e_2)
| ~ product(X_1193,e_6,e_1) ),
inference(resolution,[status(thm)],[c_59773,c_124]) ).
tff(c_60059,plain,
product(e_3,e_1,e_2),
inference(resolution,[status(thm)],[c_52007,c_60053]) ).
tff(c_60064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6795,c_60059]) ).
tff(c_60065,plain,
product(e_1,e_6,e_3),
inference(splitRight,[status(thm)],[c_59772]) ).
tff(c_54893,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_1,W_11,e_3) ),
inference(resolution,[status(thm)],[c_54803,c_120]) ).
tff(c_60117,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_60065,c_54893]) ).
tff(c_60168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_60117]) ).
tff(c_60169,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_51998]) ).
tff(c_60171,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_60169]) ).
tff(c_60174,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_60171,c_13753]) ).
tff(c_60192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_60174]) ).
tff(c_60193,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_60169]) ).
tff(c_60290,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_60193]) ).
tff(c_60295,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_60290,c_51519]) ).
tff(c_60327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_60295]) ).
tff(c_60328,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_60193]) ).
tff(c_60330,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_60328]) ).
tff(c_60332,plain,
( equalish(e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_60330,c_9281]) ).
tff(c_60352,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_60332]) ).
tff(c_60354,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_60352]) ).
tff(c_60355,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_60328]) ).
tff(c_60604,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_60355,c_6339]) ).
tff(c_60659,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_60604]) ).
tff(c_60660,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_13806]) ).
tff(c_60662,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_60660]) ).
tff(c_60672,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_60662,c_9058]) ).
tff(c_60696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_60672]) ).
tff(c_60697,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_60660]) ).
tff(c_60699,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_60697]) ).
tff(c_60779,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_3,e_6,W_8) ),
inference(resolution,[status(thm)],[c_60699,c_118]) ).
tff(c_61573,plain,
( equalish(e_1,e_2)
| ~ product(e_3,e_2,e_6) ),
inference(resolution,[status(thm)],[c_61561,c_60779]) ).
tff(c_61619,plain,
~ product(e_3,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_56,c_61573]) ).
tff(c_61669,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_61619]) ).
tff(c_61672,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_46,c_61669]) ).
tff(c_68056,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_61672]) ).
tff(c_61317,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_61195,c_122]) ).
tff(c_68061,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_68056,c_61317]) ).
tff(c_68120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_68061]) ).
tff(c_68121,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_61672]) ).
tff(c_68440,plain,
product(e_3,e_2,e_5),
inference(splitLeft,[status(thm)],[c_68121]) ).
tff(c_13752,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_3,W_11,e_5) ),
inference(resolution,[status(thm)],[c_13725,c_120]) ).
tff(c_68443,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_68440,c_13752]) ).
tff(c_68493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_68443]) ).
tff(c_68494,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_68121]) ).
tff(c_68547,plain,
product(e_3,e_2,e_2),
inference(splitLeft,[status(thm)],[c_68494]) ).
tff(c_61080,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_1) ),
inference(resolution,[status(thm)],[c_61034,c_120]) ).
tff(c_61569,plain,
( equalish(e_6,e_4)
| ~ product(e_2,e_2,e_6) ),
inference(resolution,[status(thm)],[c_61561,c_61080]) ).
tff(c_61616,plain,
~ product(e_2,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_112,c_61569]) ).
tff(c_61662,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_61616]) ).
tff(c_61665,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_61662]) ).
tff(c_65996,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_61665]) ).
tff(c_66118,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_65996,c_61317]) ).
tff(c_66180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_66118]) ).
tff(c_66181,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_61665]) ).
tff(c_66183,plain,
product(e_2,e_2,e_5),
inference(splitLeft,[status(thm)],[c_66181]) ).
tff(c_66296,plain,
! [W_1285] :
( equalish(W_1285,e_2)
| ~ product(e_2,W_1285,e_5) ),
inference(resolution,[status(thm)],[c_66183,c_120]) ).
tff(c_66307,plain,
( equalish(e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_4828,c_66296]) ).
tff(c_66346,plain,
( equalish(e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_66307]) ).
tff(c_66347,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_66346]) ).
tff(c_67190,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_66347]) ).
tff(c_67210,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_67190,c_61080]) ).
tff(c_67252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_67210]) ).
tff(c_67254,plain,
~ product(e_2,e_6,e_1),
inference(splitRight,[status(thm)],[c_66347]) ).
tff(c_66303,plain,
( equalish(e_6,e_2)
| equalish(e_2,e_6)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_4875,c_66296]) ).
tff(c_66342,plain,
( equalish(e_6,e_2)
| equalish(e_2,e_6)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_66303]) ).
tff(c_66343,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_74,c_108,c_66342]) ).
tff(c_67370,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_67254,c_66343]) ).
tff(c_67371,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_67370]) ).
tff(c_60778,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_6,e_2) ),
inference(resolution,[status(thm)],[c_60699,c_122]) ).
tff(c_67384,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_67371,c_60778]) ).
tff(c_67430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_67384]) ).
tff(c_67432,plain,
~ product(e_2,e_6,e_2),
inference(splitRight,[status(thm)],[c_67370]) ).
tff(c_67253,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_66347]) ).
tff(c_67323,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_67253]) ).
tff(c_61621,plain,
! [X_1215] :
( product(X_1215,e_1,e_2)
| ~ product(e_1,e_4,e_6)
| ~ product(X_1215,e_2,e_6) ),
inference(resolution,[status(thm)],[c_61561,c_51747]) ).
tff(c_61904,plain,
~ product(e_1,e_4,e_6),
inference(splitLeft,[status(thm)],[c_61621]) ).
tff(c_61990,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_61904]) ).
tff(c_61993,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_61990]) ).
tff(c_62001,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_61993]) ).
tff(c_61081,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_61034,c_122]) ).
tff(c_62006,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_62001,c_61081]) ).
tff(c_62036,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_62006]) ).
tff(c_62037,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_61993]) ).
tff(c_62040,plain,
product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_62037]) ).
tff(c_62043,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_62040,c_13753]) ).
tff(c_62061,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_62043]) ).
tff(c_62062,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_62037]) ).
tff(c_62114,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_62062]) ).
tff(c_62122,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_62114,c_51519]) ).
tff(c_62155,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_62122]) ).
tff(c_62156,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_62062]) ).
tff(c_62158,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_62156]) ).
tff(c_62539,plain,
! [X_1232] :
( product(X_1232,e_1,e_4)
| ~ product(X_1232,e_4,e_1) ),
inference(resolution,[status(thm)],[c_62158,c_124]) ).
tff(c_62543,plain,
product(e_2,e_1,e_4),
inference(resolution,[status(thm)],[c_61034,c_62539]) ).
tff(c_62559,plain,
( equalish(e_1,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_62543,c_9281]) ).
tff(c_62663,plain,
equalish(e_1,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_62559]) ).
tff(c_62665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_62663]) ).
tff(c_62666,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_62156]) ).
tff(c_62934,plain,
product(e_1,e_3,e_5),
inference(resolution,[status(thm)],[c_62666,c_13751]) ).
tff(c_64132,plain,
! [W_1246] :
( equalish(W_1246,e_3)
| ~ product(e_1,W_1246,e_5) ),
inference(resolution,[status(thm)],[c_62934,c_120]) ).
tff(c_64139,plain,
( equalish(e_6,e_3)
| equalish(e_1,e_6)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_4875,c_64132]) ).
tff(c_64178,plain,
( equalish(e_6,e_3)
| equalish(e_1,e_6)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_64139]) ).
tff(c_64179,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_110,c_64178]) ).
tff(c_64367,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_64179]) ).
tff(c_64520,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_64367,c_2267]) ).
tff(c_64563,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_64520]) ).
tff(c_64564,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_64179]) ).
tff(c_64578,plain,
product(e_1,e_6,e_4),
inference(splitLeft,[status(thm)],[c_64564]) ).
tff(c_64758,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_6,e_4) ),
inference(resolution,[status(thm)],[c_64578,c_122]) ).
tff(c_67331,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_67323,c_64758]) ).
tff(c_67367,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_67331]) ).
tff(c_67368,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_67253]) ).
tff(c_67437,plain,
product(e_2,e_6,e_3),
inference(negUnitSimplification,[status(thm)],[c_67432,c_67368]) ).
tff(c_67480,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_67437,c_6339]) ).
tff(c_67547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_67480]) ).
tff(c_67548,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_66181]) ).
tff(c_67710,plain,
product(e_2,e_2,e_2),
inference(splitLeft,[status(thm)],[c_67548]) ).
tff(c_67854,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_67710,c_122]) ).
tff(c_68550,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_68547,c_67854]) ).
tff(c_68617,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_68550]) ).
tff(c_68618,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_68494]) ).
tff(c_68620,plain,
product(e_3,e_2,e_4),
inference(splitLeft,[status(thm)],[c_68618]) ).
tff(c_68637,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_68620,c_9058]) ).
tff(c_68693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_68637]) ).
tff(c_68694,plain,
product(e_3,e_2,e_3),
inference(splitRight,[status(thm)],[c_68618]) ).
tff(c_69269,plain,
! [X_1328] :
( product(X_1328,e_3,e_3)
| ~ product(X_1328,e_2,e_3) ),
inference(resolution,[status(thm)],[c_68694,c_124]) ).
tff(c_68946,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_68694,c_120]) ).
tff(c_69273,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_69269,c_68946]) ).
tff(c_69347,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_68694,c_69273]) ).
tff(c_69349,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_69347]) ).
tff(c_69350,plain,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_67548]) ).
tff(c_69365,plain,
product(e_2,e_2,e_4),
inference(splitLeft,[status(thm)],[c_69350]) ).
tff(c_69379,plain,
( equalish(e_2,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_69365,c_9281]) ).
tff(c_69435,plain,
equalish(e_2,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_69379]) ).
tff(c_69437,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_69435]) ).
tff(c_69438,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_69350]) ).
tff(c_69511,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_69438,c_6339]) ).
tff(c_69616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_69511]) ).
tff(c_69617,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_64564]) ).
tff(c_69619,plain,
product(e_1,e_6,e_2),
inference(splitLeft,[status(thm)],[c_69617]) ).
tff(c_69627,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_69619,c_60778]) ).
tff(c_69669,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_69627]) ).
tff(c_69670,plain,
product(e_1,e_6,e_3),
inference(splitRight,[status(thm)],[c_69617]) ).
tff(c_62981,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_1,W_11,e_3) ),
inference(resolution,[status(thm)],[c_62666,c_120]) ).
tff(c_69805,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_69670,c_62981]) ).
tff(c_69856,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_69805]) ).
tff(c_69858,plain,
product(e_1,e_4,e_6),
inference(splitRight,[status(thm)],[c_61621]) ).
tff(c_51749,plain,
! [W_14,X_1049] :
( equalish(W_14,X_1049)
| ~ product(W_14,e_6,e_2)
| ~ product(X_1049,e_4,e_6) ),
inference(resolution,[status(thm)],[c_51678,c_122]) ).
tff(c_60736,plain,
! [X_1049] :
( equalish(e_3,X_1049)
| ~ product(X_1049,e_4,e_6) ),
inference(resolution,[status(thm)],[c_60699,c_51749]) ).
tff(c_69953,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_69858,c_60736]) ).
tff(c_69988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_69953]) ).
tff(c_69989,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_51998]) ).
tff(c_69991,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_69989]) ).
tff(c_69994,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_69991,c_13753]) ).
tff(c_70012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_69994]) ).
tff(c_70013,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_69989]) ).
tff(c_70058,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_70013]) ).
tff(c_70063,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_70058,c_51519]) ).
tff(c_70095,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_70063]) ).
tff(c_70096,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_70013]) ).
tff(c_70111,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_70096]) ).
tff(c_70113,plain,
( equalish(e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_70111,c_9281]) ).
tff(c_70133,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_70113]) ).
tff(c_70135,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_70133]) ).
tff(c_70136,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_70096]) ).
tff(c_70161,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_70136,c_6339]) ).
tff(c_70216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_70161]) ).
tff(c_70217,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_60697]) ).
tff(c_70507,plain,
! [X_1340] :
( product(X_1340,e_3,e_3)
| ~ product(X_1340,e_6,e_3) ),
inference(resolution,[status(thm)],[c_70217,c_124]) ).
tff(c_70511,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_70217,c_70507]) ).
tff(c_70312,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_70217,c_120]) ).
tff(c_70514,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_70511,c_70312]) ).
tff(c_70555,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_70514]) ).
tff(c_70557,plain,
product(e_2,e_4,e_6),
inference(splitRight,[status(thm)],[c_51957]) ).
tff(c_70682,plain,
! [X_1344] :
( product(X_1344,e_2,e_6)
| ~ product(X_1344,e_4,e_2) ),
inference(resolution,[status(thm)],[c_70557,c_124]) ).
tff(c_70686,plain,
product(e_6,e_2,e_6),
inference(resolution,[status(thm)],[c_51455,c_70682]) ).
tff(c_4836,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_6,W_11,e_6) ),
inference(resolution,[status(thm)],[c_4806,c_120]) ).
tff(c_70716,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_70686,c_4836]) ).
tff(c_70777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_70716]) ).
tff(c_70778,plain,
product(e_6,e_4,e_3),
inference(splitRight,[status(thm)],[c_51454]) ).
tff(c_71423,plain,
! [X_1351] :
( product(X_1351,e_6,e_3)
| ~ product(X_1351,e_4,e_6) ),
inference(resolution,[status(thm)],[c_70778,c_124]) ).
tff(c_71447,plain,
( equalish(e_6,e_1)
| ~ product(e_2,e_4,e_6) ),
inference(resolution,[status(thm)],[c_71423,c_6339]) ).
tff(c_71497,plain,
~ product(e_2,e_4,e_6),
inference(negUnitSimplification,[status(thm)],[c_106,c_71447]) ).
tff(c_71527,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_71497]) ).
tff(c_71530,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_71527]) ).
tff(c_72720,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_71530]) ).
tff(c_52,plain,
group_element(e_5),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_70815,plain,
product(e_6,e_3,e_5),
inference(resolution,[status(thm)],[c_70778,c_13751]) ).
tff(c_70900,plain,
! [X_18] :
( product(X_18,e_6,e_5)
| ~ product(X_18,e_3,e_6) ),
inference(resolution,[status(thm)],[c_70815,c_124]) ).
tff(c_72021,plain,
! [X_1367,X_1368] :
( product(X_1367,X_1368,e_3)
| ~ product(X_1367,e_6,X_1368)
| ~ product(X_1368,e_4,e_6) ),
inference(resolution,[status(thm)],[c_71423,c_124]) ).
tff(c_72065,plain,
! [X_18] :
( product(X_18,e_5,e_3)
| ~ product(e_5,e_4,e_6)
| ~ product(X_18,e_3,e_6) ),
inference(resolution,[status(thm)],[c_70900,c_72021]) ).
tff(c_72181,plain,
~ product(e_5,e_4,e_6),
inference(splitLeft,[status(thm)],[c_72065]) ).
tff(c_72185,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_72181]) ).
tff(c_72188,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_50,c_72185]) ).
tff(c_73813,plain,
product(e_5,e_4,e_1),
inference(splitLeft,[status(thm)],[c_72188]) ).
tff(c_73566,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_72720,c_122]) ).
tff(c_73829,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_73813,c_73566]) ).
tff(c_73854,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_73829]) ).
tff(c_73855,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_72188]) ).
tff(c_73857,plain,
product(e_5,e_4,e_5),
inference(splitLeft,[status(thm)],[c_73855]) ).
tff(c_73862,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_73857,c_13753]) ).
tff(c_73882,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_73862]) ).
tff(c_73883,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_73855]) ).
tff(c_73967,plain,
product(e_5,e_4,e_2),
inference(splitLeft,[status(thm)],[c_73883]) ).
tff(c_73564,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_4,e_2) ),
inference(resolution,[status(thm)],[c_72720,c_124]) ).
tff(c_73997,plain,
product(e_5,e_2,e_1),
inference(resolution,[status(thm)],[c_73967,c_73564]) ).
tff(c_74158,plain,
! [X_18] :
( product(X_18,e_5,e_1)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_73997,c_124]) ).
tff(c_74513,plain,
! [X_1406] :
( product(X_1406,e_5,e_2)
| ~ product(X_1406,e_4,e_5) ),
inference(resolution,[status(thm)],[c_73967,c_124]) ).
tff(c_75228,plain,
! [X_1422,X_1423] :
( product(X_1422,X_1423,e_2)
| ~ product(X_1422,e_5,X_1423)
| ~ product(X_1423,e_4,e_5) ),
inference(resolution,[status(thm)],[c_74513,c_124]) ).
tff(c_75266,plain,
! [X_18] :
( product(X_18,e_1,e_2)
| ~ product(e_1,e_4,e_5)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_74158,c_75228]) ).
tff(c_75413,plain,
~ product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_75266]) ).
tff(c_72211,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_13806]) ).
tff(c_71514,plain,
! [X_18,X_1351] :
( product(X_18,X_1351,e_3)
| ~ product(X_18,e_6,X_1351)
| ~ product(X_1351,e_4,e_6) ),
inference(resolution,[status(thm)],[c_71423,c_124]) ).
tff(c_72215,plain,
( product(e_3,e_1,e_3)
| ~ product(e_1,e_4,e_6) ),
inference(resolution,[status(thm)],[c_72211,c_71514]) ).
tff(c_72246,plain,
~ product(e_1,e_4,e_6),
inference(negUnitSimplification,[status(thm)],[c_8870,c_72215]) ).
tff(c_72281,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_72246]) ).
tff(c_72284,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_72281]) ).
tff(c_76456,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_75413,c_72284]) ).
tff(c_76457,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_76456]) ).
tff(c_76462,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_76457,c_73566]) ).
tff(c_76492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_76462]) ).
tff(c_76493,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_76456]) ).
tff(c_76495,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_76493]) ).
tff(c_76658,plain,
! [X_1440] :
( product(X_1440,e_1,e_4)
| ~ product(X_1440,e_4,e_1) ),
inference(resolution,[status(thm)],[c_76495,c_124]) ).
tff(c_76662,plain,
product(e_2,e_1,e_4),
inference(resolution,[status(thm)],[c_72720,c_76658]) ).
tff(c_76678,plain,
( equalish(e_1,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_76662,c_9281]) ).
tff(c_76782,plain,
equalish(e_1,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_76678]) ).
tff(c_76784,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_76782]) ).
tff(c_76785,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_76493]) ).
tff(c_76787,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_76785]) ).
tff(c_74035,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_4,e_2) ),
inference(resolution,[status(thm)],[c_73967,c_122]) ).
tff(c_76792,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_76787,c_74035]) ).
tff(c_76827,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_76792]) ).
tff(c_76828,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_76785]) ).
tff(c_70864,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_3) ),
inference(resolution,[status(thm)],[c_70778,c_122]) ).
tff(c_76834,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_76828,c_70864]) ).
tff(c_76875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_76834]) ).
tff(c_76877,plain,
product(e_1,e_4,e_5),
inference(splitRight,[status(thm)],[c_75266]) ).
tff(c_76943,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_76877,c_13753]) ).
tff(c_76964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_76943]) ).
tff(c_76965,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_73883]) ).
tff(c_76967,plain,
product(e_5,e_4,e_4),
inference(splitLeft,[status(thm)],[c_76965]) ).
tff(c_77109,plain,
! [X_1445] :
( product(X_1445,e_5,e_4)
| ~ product(X_1445,e_4,e_5) ),
inference(resolution,[status(thm)],[c_76967,c_124]) ).
tff(c_77119,plain,
( equalish(e_5,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[c_77109,c_9058]) ).
tff(c_77145,plain,
equalish(e_5,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_13725,c_77119]) ).
tff(c_77147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_77145]) ).
tff(c_77148,plain,
product(e_5,e_4,e_3),
inference(splitRight,[status(thm)],[c_76965]) ).
tff(c_77167,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_77148,c_70864]) ).
tff(c_77208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_77167]) ).
tff(c_77209,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_71530]) ).
tff(c_77211,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_77209]) ).
tff(c_77216,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_77211,c_13753]) ).
tff(c_77236,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_77216]) ).
tff(c_77237,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_77209]) ).
tff(c_78104,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_77237]) ).
tff(c_78342,plain,
! [X_1457] :
( product(X_1457,e_2,e_2)
| ~ product(X_1457,e_4,e_2) ),
inference(resolution,[status(thm)],[c_78104,c_124]) ).
tff(c_78346,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_78104,c_78342]) ).
tff(c_78168,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_78104,c_120]) ).
tff(c_78349,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_78346,c_78168]) ).
tff(c_78411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_78349]) ).
tff(c_78412,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_77237]) ).
tff(c_78414,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_78412]) ).
tff(c_78416,plain,
( equalish(e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_78414,c_9281]) ).
tff(c_78436,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_78416]) ).
tff(c_78438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_78436]) ).
tff(c_78439,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_78412]) ).
tff(c_78445,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_78439,c_70864]) ).
tff(c_78489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_78445]) ).
tff(c_78490,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_13806]) ).
tff(c_78493,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_78490]) ).
tff(c_78508,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_78493,c_9058]) ).
tff(c_78535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_78508]) ).
tff(c_78537,plain,
~ product(e_3,e_6,e_4),
inference(splitRight,[status(thm)],[c_78490]) ).
tff(c_80049,plain,
product(e_5,e_4,e_1),
inference(splitLeft,[status(thm)],[c_72188]) ).
tff(c_79852,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_71530]) ).
tff(c_79899,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_79852,c_122]) ).
tff(c_80065,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_80049,c_79899]) ).
tff(c_80090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_80065]) ).
tff(c_80091,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_72188]) ).
tff(c_80093,plain,
product(e_5,e_4,e_5),
inference(splitLeft,[status(thm)],[c_80091]) ).
tff(c_80098,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_80093,c_13753]) ).
tff(c_80118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_80098]) ).
tff(c_80119,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_80091]) ).
tff(c_80165,plain,
product(e_5,e_4,e_2),
inference(splitLeft,[status(thm)],[c_80119]) ).
tff(c_80711,plain,
! [X_1489] :
( product(X_1489,e_5,e_2)
| ~ product(X_1489,e_4,e_5) ),
inference(resolution,[status(thm)],[c_80165,c_124]) ).
tff(c_78491,plain,
~ product(e_3,e_6,e_1),
inference(splitRight,[status(thm)],[c_13806]) ).
tff(c_13762,plain,
( equalish(e_6,e_4)
| equalish(e_3,e_6)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_4875,c_13755]) ).
tff(c_13801,plain,
( equalish(e_6,e_4)
| equalish(e_3,e_6)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_13762]) ).
tff(c_13802,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_84,c_112,c_13801]) ).
tff(c_78538,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_78491,c_13802]) ).
tff(c_78539,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_78538]) ).
tff(c_78618,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_78539,c_120]) ).
tff(c_80719,plain,
( equalish(e_5,e_6)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[c_80711,c_78618]) ).
tff(c_80750,plain,
equalish(e_5,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_13725,c_80719]) ).
tff(c_80752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_80750]) ).
tff(c_80753,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_80119]) ).
tff(c_80768,plain,
product(e_5,e_4,e_4),
inference(splitLeft,[status(thm)],[c_80753]) ).
tff(c_80910,plain,
! [X_1495] :
( product(X_1495,e_5,e_4)
| ~ product(X_1495,e_4,e_5) ),
inference(resolution,[status(thm)],[c_80768,c_124]) ).
tff(c_80920,plain,
( equalish(e_5,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[c_80910,c_9058]) ).
tff(c_80946,plain,
equalish(e_5,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_13725,c_80920]) ).
tff(c_80948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_80946]) ).
tff(c_80949,plain,
product(e_5,e_4,e_3),
inference(splitRight,[status(thm)],[c_80753]) ).
tff(c_80955,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_80949,c_70864]) ).
tff(c_80996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_80955]) ).
tff(c_80997,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_71530]) ).
tff(c_81012,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_80997]) ).
tff(c_81017,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_81012,c_13753]) ).
tff(c_81037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_81017]) ).
tff(c_81038,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_80997]) ).
tff(c_81083,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_81038]) ).
tff(c_81321,plain,
! [X_1502] :
( product(X_1502,e_2,e_2)
| ~ product(X_1502,e_4,e_2) ),
inference(resolution,[status(thm)],[c_81083,c_124]) ).
tff(c_81325,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_81083,c_81321]) ).
tff(c_81186,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_81083,c_120]) ).
tff(c_81328,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_81325,c_81186]) ).
tff(c_81390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_81328]) ).
tff(c_81391,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_81038]) ).
tff(c_81393,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_81391]) ).
tff(c_81395,plain,
( equalish(e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_81393,c_9281]) ).
tff(c_81415,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_81395]) ).
tff(c_81417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_81415]) ).
tff(c_81418,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_81391]) ).
tff(c_81463,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_81418,c_70864]) ).
tff(c_81507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_81463]) ).
tff(c_81508,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_78538]) ).
tff(c_81518,plain,
product(e_3,e_6,e_3),
inference(negUnitSimplification,[status(thm)],[c_78537,c_81508]) ).
tff(c_81845,plain,
! [X_1510] :
( product(X_1510,e_3,e_3)
| ~ product(X_1510,e_6,e_3) ),
inference(resolution,[status(thm)],[c_81518,c_124]) ).
tff(c_81852,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_81518,c_81845]) ).
tff(c_81621,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_81518,c_120]) ).
tff(c_81856,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_81852,c_81621]) ).
tff(c_81899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_81856]) ).
tff(c_81901,plain,
product(e_5,e_4,e_6),
inference(splitRight,[status(thm)],[c_72065]) ).
tff(c_70862,plain,
! [X_18] :
( product(X_18,e_6,e_3)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_70778,c_124]) ).
tff(c_86842,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_71530]) ).
tff(c_81939,plain,
! [X_18] :
( product(X_18,e_5,e_6)
| ~ product(X_18,e_4,e_5) ),
inference(resolution,[status(thm)],[c_81901,c_124]) ).
tff(c_83034,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_13806]) ).
tff(c_84164,plain,
! [X_1546] :
( product(X_1546,e_3,e_1)
| ~ product(X_1546,e_6,e_3) ),
inference(resolution,[status(thm)],[c_83034,c_124]) ).
tff(c_84169,plain,
! [X_1547] :
( product(X_1547,e_3,e_1)
| ~ product(X_1547,e_4,e_6) ),
inference(resolution,[status(thm)],[c_70862,c_84164]) ).
tff(c_84177,plain,
product(e_5,e_3,e_1),
inference(resolution,[status(thm)],[c_81901,c_84169]) ).
tff(c_84467,plain,
! [X_1552] :
( product(X_1552,e_5,e_1)
| ~ product(X_1552,e_3,e_5) ),
inference(resolution,[status(thm)],[c_84177,c_124]) ).
tff(c_85025,plain,
! [X_1563,X_1564] :
( product(X_1563,X_1564,e_1)
| ~ product(X_1563,e_5,X_1564)
| ~ product(X_1564,e_3,e_5) ),
inference(resolution,[status(thm)],[c_84467,c_124]) ).
tff(c_85031,plain,
! [X_18] :
( product(X_18,e_6,e_1)
| ~ product(e_6,e_3,e_5)
| ~ product(X_18,e_4,e_5) ),
inference(resolution,[status(thm)],[c_81939,c_85025]) ).
tff(c_85106,plain,
! [X_1565] :
( product(X_1565,e_6,e_1)
| ~ product(X_1565,e_4,e_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_70815,c_85031]) ).
tff(c_85150,plain,
( equalish(e_6,e_1)
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[c_85106,c_2267]) ).
tff(c_85197,plain,
~ product(e_1,e_4,e_5),
inference(negUnitSimplification,[status(thm)],[c_106,c_85150]) ).
tff(c_83038,plain,
( product(e_3,e_1,e_3)
| ~ product(e_1,e_4,e_6) ),
inference(resolution,[status(thm)],[c_83034,c_71514]) ).
tff(c_83069,plain,
~ product(e_1,e_4,e_6),
inference(negUnitSimplification,[status(thm)],[c_8870,c_83038]) ).
tff(c_83103,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_83069]) ).
tff(c_83106,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_83103]) ).
tff(c_88306,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_85197,c_83106]) ).
tff(c_88307,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_88306]) ).
tff(c_86905,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_86842,c_122]) ).
tff(c_88310,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_88307,c_86905]) ).
tff(c_88346,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_88310]) ).
tff(c_88347,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_88306]) ).
tff(c_88349,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_88347]) ).
tff(c_88569,plain,
! [X_1639] :
( product(X_1639,e_1,e_4)
| ~ product(X_1639,e_4,e_1) ),
inference(resolution,[status(thm)],[c_88349,c_124]) ).
tff(c_88573,plain,
product(e_2,e_1,e_4),
inference(resolution,[status(thm)],[c_86842,c_88569]) ).
tff(c_88591,plain,
( equalish(e_1,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_88573,c_9281]) ).
tff(c_88699,plain,
equalish(e_1,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_88591]) ).
tff(c_88701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_88699]) ).
tff(c_88702,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_88347]) ).
tff(c_88704,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_88702]) ).
tff(c_86903,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_4,e_2) ),
inference(resolution,[status(thm)],[c_86842,c_124]) ).
tff(c_88736,plain,
product(e_1,e_2,e_1),
inference(resolution,[status(thm)],[c_88704,c_86903]) ).
tff(c_88900,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_88736,c_2267]) ).
tff(c_88985,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_88900]) ).
tff(c_88986,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_88702]) ).
tff(c_88996,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_88986,c_70864]) ).
tff(c_89043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_88996]) ).
tff(c_89044,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_71530]) ).
tff(c_89054,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_89044]) ).
tff(c_85458,plain,
! [W_1570,X_1571] :
( equalish(W_1570,X_1571)
| ~ product(W_1570,e_6,e_1)
| ~ product(X_1571,e_4,e_5) ),
inference(resolution,[status(thm)],[c_85106,c_122]) ).
tff(c_85464,plain,
! [X_1571] :
( equalish(e_3,X_1571)
| ~ product(X_1571,e_4,e_5) ),
inference(resolution,[status(thm)],[c_83034,c_85458]) ).
tff(c_89059,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_89054,c_85464]) ).
tff(c_89094,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_89059]) ).
tff(c_89095,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_89044]) ).
tff(c_89140,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_89095]) ).
tff(c_89402,plain,
! [X_1650] :
( product(X_1650,e_2,e_2)
| ~ product(X_1650,e_4,e_2) ),
inference(resolution,[status(thm)],[c_89140,c_124]) ).
tff(c_89406,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_89140,c_89402]) ).
tff(c_89267,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_89140,c_120]) ).
tff(c_89409,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_89406,c_89267]) ).
tff(c_89471,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_89409]) ).
tff(c_89472,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_89095]) ).
tff(c_89474,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_89472]) ).
tff(c_89476,plain,
( equalish(e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_89474,c_9281]) ).
tff(c_89496,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_89476]) ).
tff(c_89498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_89496]) ).
tff(c_89499,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_89472]) ).
tff(c_89570,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_89499,c_70864]) ).
tff(c_89616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_89570]) ).
tff(c_89618,plain,
~ product(e_3,e_6,e_1),
inference(splitRight,[status(thm)],[c_13806]) ).
tff(c_89619,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_89618,c_13802]) ).
tff(c_89620,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_89619]) ).
tff(c_89864,plain,
! [X_1657] :
( product(X_1657,e_3,e_2)
| ~ product(X_1657,e_6,e_3) ),
inference(resolution,[status(thm)],[c_89620,c_124]) ).
tff(c_90523,plain,
! [X_1662] :
( product(X_1662,e_3,e_2)
| ~ product(X_1662,e_4,e_6) ),
inference(resolution,[status(thm)],[c_70862,c_89864]) ).
tff(c_90531,plain,
product(e_5,e_3,e_2),
inference(resolution,[status(thm)],[c_81901,c_90523]) ).
tff(c_7283,plain,
! [X_18] :
( product(X_18,e_2,e_4)
| ~ product(X_18,e_3,e_2) ),
inference(resolution,[status(thm)],[c_7257,c_124]) ).
tff(c_90725,plain,
product(e_5,e_2,e_4),
inference(resolution,[status(thm)],[c_90531,c_7283]) ).
tff(c_6603,plain,
! [X_18,X_291] :
( product(X_18,X_291,e_3)
| ~ product(X_18,e_2,X_291)
| ~ product(X_291,e_1,e_2) ),
inference(resolution,[status(thm)],[c_6555,c_124]) ).
tff(c_90885,plain,
( product(e_5,e_4,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c_90725,c_6603]) ).
tff(c_91489,plain,
~ product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_90885]) ).
tff(c_6733,plain,
( product(e_6,e_5,e_3)
| ~ product(e_5,e_1,e_2)
| equalish(e_6,e_2)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_4834,c_6725]) ).
tff(c_6768,plain,
( product(e_6,e_5,e_3)
| ~ product(e_5,e_1,e_2)
| equalish(e_6,e_2)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_6733]) ).
tff(c_6769,plain,
( product(e_6,e_5,e_3)
| ~ product(e_5,e_1,e_2)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_6768]) ).
tff(c_8737,plain,
~ product(e_5,e_1,e_2),
inference(splitLeft,[status(thm)],[c_6769]) ).
tff(c_9426,plain,
( product(e_6,e_5,e_4)
| ~ product(e_5,e_1,e_3)
| equalish(e_6,e_3)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_4834,c_9416]) ).
tff(c_9460,plain,
( product(e_6,e_5,e_4)
| ~ product(e_5,e_1,e_3)
| equalish(e_6,e_3)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_9426]) ).
tff(c_9461,plain,
( product(e_6,e_5,e_4)
| ~ product(e_5,e_1,e_3)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_110,c_9460]) ).
tff(c_9493,plain,
~ product(e_5,e_1,e_3),
inference(splitLeft,[status(thm)],[c_9461]) ).
tff(c_1890,plain,
! [X_139] :
( product(X_139,e_5,e_6)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_5)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(resolution,[status(thm)],[c_1888,c_219]) ).
tff(c_1923,plain,
! [X_139] :
( product(X_139,e_5,e_6)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_44,c_1890]) ).
tff(c_82800,plain,
! [X_139] :
( product(X_139,e_5,e_6)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_1)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(negUnitSimplification,[status(thm)],[c_8737,c_9493,c_1923]) ).
tff(c_82801,plain,
product(e_5,e_1,e_1),
inference(splitLeft,[status(thm)],[c_82800]) ).
tff(c_82866,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_82801,c_2268]) ).
tff(c_82984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_82866]) ).
tff(c_82985,plain,
! [X_139] :
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_82800]) ).
tff(c_89869,plain,
product(e_5,e_1,e_5),
inference(splitLeft,[status(thm)],[c_82985]) ).
tff(c_90426,plain,
! [X_1661] :
( product(X_1661,e_5,e_5)
| ~ product(X_1661,e_1,e_5) ),
inference(resolution,[status(thm)],[c_89869,c_124]) ).
tff(c_90070,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_89869,c_120]) ).
tff(c_90430,plain,
( equalish(e_5,e_1)
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[c_90426,c_90070]) ).
tff(c_90467,plain,
equalish(e_5,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_89869,c_90430]) ).
tff(c_90469,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_90467]) ).
tff(c_90470,plain,
! [X_139] :
( product(e_5,e_1,e_4)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_82985]) ).
tff(c_90535,plain,
product(e_5,e_1,e_4),
inference(splitLeft,[status(thm)],[c_90470]) ).
tff(c_90554,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_90535,c_9059]) ).
tff(c_90652,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_90554]) ).
tff(c_90653,plain,
! [X_139] :
( product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_90470]) ).
tff(c_92,plain,
~ equalish(e_4,e_5),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_90907,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_90725,c_124]) ).
tff(c_91243,plain,
! [X_1670] :
( product(X_1670,e_5,e_2)
| ~ product(X_1670,e_3,e_5) ),
inference(resolution,[status(thm)],[c_90531,c_124]) ).
tff(c_92315,plain,
! [X_1690,X_1691] :
( product(X_1690,X_1691,e_2)
| ~ product(X_1690,e_5,X_1691)
| ~ product(X_1691,e_3,e_5) ),
inference(resolution,[status(thm)],[c_91243,c_124]) ).
tff(c_92357,plain,
! [X_18] :
( product(X_18,e_4,e_2)
| ~ product(e_4,e_3,e_5)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_90907,c_92315]) ).
tff(c_93058,plain,
~ product(e_4,e_3,e_5),
inference(splitLeft,[status(thm)],[c_92357]) ).
tff(c_91540,plain,
! [X_1673] :
( product(X_1673,e_5,e_4)
| ~ product(X_1673,e_2,e_5) ),
inference(resolution,[status(thm)],[c_90725,c_124]) ).
tff(c_82041,plain,
! [X_1514] :
( product(X_1514,e_5,e_3)
| ~ product(X_1514,e_3,e_6) ),
inference(splitRight,[status(thm)],[c_72065]) ).
tff(c_82127,plain,
! [X_18,X_1514] :
( product(X_18,X_1514,e_3)
| ~ product(X_18,e_5,X_1514)
| ~ product(X_1514,e_3,e_6) ),
inference(resolution,[status(thm)],[c_82041,c_124]) ).
tff(c_91583,plain,
! [X_1673] :
( product(X_1673,e_4,e_3)
| ~ product(e_4,e_3,e_6)
| ~ product(X_1673,e_2,e_5) ),
inference(resolution,[status(thm)],[c_91540,c_82127]) ).
tff(c_93096,plain,
~ product(e_4,e_3,e_6),
inference(splitLeft,[status(thm)],[c_91583]) ).
tff(c_93099,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_93096]) ).
tff(c_93102,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_48,c_93099]) ).
tff(c_93103,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_93058,c_93102]) ).
tff(c_94647,plain,
product(e_4,e_3,e_1),
inference(splitLeft,[status(thm)],[c_93103]) ).
tff(c_95184,plain,
! [X_1743] :
( product(X_1743,e_4,e_1)
| ~ product(X_1743,e_3,e_4) ),
inference(resolution,[status(thm)],[c_94647,c_124]) ).
tff(c_95219,plain,
( equalish(e_4,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[c_95184,c_2267]) ).
tff(c_95263,plain,
~ product(e_1,e_3,e_4),
inference(negUnitSimplification,[status(thm)],[c_86,c_95219]) ).
tff(c_91926,plain,
! [W_1681,X_1682] :
( equalish(W_1681,e_2)
| ~ product(X_1682,e_5,W_1681)
| ~ product(X_1682,e_3,e_5) ),
inference(resolution,[status(thm)],[c_91243,c_118]) ).
tff(c_91929,plain,
! [X_18] :
( equalish(e_4,e_2)
| ~ product(X_18,e_3,e_5)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_90907,c_91926]) ).
tff(c_92036,plain,
! [X_1683] :
( ~ product(X_1683,e_3,e_5)
| ~ product(X_1683,e_2,e_5) ),
inference(negUnitSimplification,[status(thm)],[c_88,c_91929]) ).
tff(c_92078,plain,
~ product(e_6,e_2,e_5),
inference(resolution,[status(thm)],[c_70815,c_92036]) ).
tff(c_92113,plain,
( equalish(e_6,e_2)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_4834,c_92078]) ).
tff(c_92142,plain,
( equalish(e_6,e_2)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_92113]) ).
tff(c_92143,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_92142]) ).
tff(c_95994,plain,
product(e_6,e_2,e_1),
inference(splitLeft,[status(thm)],[c_92143]) ).
tff(c_96451,plain,
! [X_1770] :
( product(X_1770,e_6,e_1)
| ~ product(X_1770,e_2,e_6) ),
inference(resolution,[status(thm)],[c_95994,c_124]) ).
tff(c_71539,plain,
! [X_1353] :
( product(X_1353,e_6,e_5)
| ~ product(X_1353,e_3,e_6) ),
inference(resolution,[status(thm)],[c_70815,c_124]) ).
tff(c_71585,plain,
! [X_18,X_1353] :
( product(X_18,X_1353,e_5)
| ~ product(X_18,e_6,X_1353)
| ~ product(X_1353,e_3,e_6) ),
inference(resolution,[status(thm)],[c_71539,c_124]) ).
tff(c_96551,plain,
! [X_1770] :
( product(X_1770,e_1,e_5)
| ~ product(e_1,e_3,e_6)
| ~ product(X_1770,e_2,e_6) ),
inference(resolution,[status(thm)],[c_96451,c_71585]) ).
tff(c_97588,plain,
~ product(e_1,e_3,e_6),
inference(splitLeft,[status(thm)],[c_96551]) ).
tff(c_97591,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_97588]) ).
tff(c_97594,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_48,c_97591]) ).
tff(c_97595,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_95263,c_97594]) ).
tff(c_97610,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_97595]) ).
tff(c_94702,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_94647,c_122]) ).
tff(c_97619,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_97610,c_94702]) ).
tff(c_97660,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_97619]) ).
tff(c_97661,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_97595]) ).
tff(c_97678,plain,
product(e_1,e_3,e_5),
inference(splitLeft,[status(thm)],[c_97661]) ).
tff(c_91949,plain,
( equalish(e_5,e_2)
| ~ product(e_6,e_3,e_5)
| equalish(e_6,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_4834,c_91926]) ).
tff(c_92002,plain,
( equalish(e_5,e_2)
| equalish(e_6,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_70815,c_91949]) ).
tff(c_92003,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_98,c_92002]) ).
tff(c_93491,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_92003]) ).
tff(c_91333,plain,
! [W_8,X_1670] :
( equalish(W_8,e_2)
| ~ product(X_1670,e_5,W_8)
| ~ product(X_1670,e_3,e_5) ),
inference(resolution,[status(thm)],[c_91243,c_118]) ).
tff(c_93501,plain,
( equalish(e_1,e_2)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_93491,c_91333]) ).
tff(c_93541,plain,
equalish(e_1,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_70815,c_93501]) ).
tff(c_93543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_93541]) ).
tff(c_93545,plain,
~ product(e_6,e_5,e_1),
inference(splitRight,[status(thm)],[c_92003]) ).
tff(c_93544,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_92003]) ).
tff(c_93546,plain,
product(e_6,e_5,e_4),
inference(splitLeft,[status(thm)],[c_93544]) ).
tff(c_93560,plain,
( equalish(e_4,e_2)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_93546,c_91333]) ).
tff(c_93598,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_70815,c_93560]) ).
tff(c_93600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_93598]) ).
tff(c_93602,plain,
~ product(e_6,e_5,e_4),
inference(splitRight,[status(thm)],[c_93544]) ).
tff(c_91945,plain,
( equalish(e_5,e_2)
| ~ product(e_6,e_3,e_5)
| equalish(e_5,e_6)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_4858,c_91926]) ).
tff(c_91998,plain,
( equalish(e_5,e_2)
| equalish(e_5,e_6)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_70815,c_91945]) ).
tff(c_91999,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_104,c_98,c_91998]) ).
tff(c_93607,plain,
( product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_93545,c_93602,c_91999]) ).
tff(c_93608,plain,
product(e_6,e_5,e_2),
inference(splitLeft,[status(thm)],[c_93607]) ).
tff(c_91332,plain,
! [W_14,X_1670] :
( equalish(W_14,X_1670)
| ~ product(W_14,e_5,e_2)
| ~ product(X_1670,e_3,e_5) ),
inference(resolution,[status(thm)],[c_91243,c_122]) ).
tff(c_93673,plain,
! [X_1670] :
( equalish(e_6,X_1670)
| ~ product(X_1670,e_3,e_5) ),
inference(resolution,[status(thm)],[c_93608,c_91332]) ).
tff(c_97689,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_97678,c_93673]) ).
tff(c_97744,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_97689]) ).
tff(c_97745,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_97661]) ).
tff(c_97790,plain,
product(e_1,e_3,e_2),
inference(splitLeft,[status(thm)],[c_97745]) ).
tff(c_90739,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_3,e_2) ),
inference(resolution,[status(thm)],[c_90531,c_122]) ).
tff(c_97801,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_97790,c_90739]) ).
tff(c_97849,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_97801]) ).
tff(c_97850,plain,
product(e_1,e_3,e_3),
inference(splitRight,[status(thm)],[c_97745]) ).
tff(c_98212,plain,
! [X_1807] :
( product(X_1807,e_1,e_3)
| ~ product(X_1807,e_3,e_1) ),
inference(resolution,[status(thm)],[c_97850,c_124]) ).
tff(c_98215,plain,
product(e_4,e_1,e_3),
inference(resolution,[status(thm)],[c_94647,c_98212]) ).
tff(c_98219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9486,c_98215]) ).
tff(c_98221,plain,
product(e_1,e_3,e_6),
inference(splitRight,[status(thm)],[c_96551]) ).
tff(c_98537,plain,
! [X_1814] :
( product(X_1814,e_1,e_6)
| ~ product(X_1814,e_3,e_1) ),
inference(resolution,[status(thm)],[c_98221,c_124]) ).
tff(c_98541,plain,
product(e_4,e_1,e_6),
inference(resolution,[status(thm)],[c_94647,c_98537]) ).
tff(c_98629,plain,
~ next(e_4,e_5),
inference(resolution,[status(thm)],[c_98541,c_159]) ).
tff(c_98765,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_98629]) ).
tff(c_98766,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_93103]) ).
tff(c_98768,plain,
product(e_4,e_3,e_4),
inference(splitLeft,[status(thm)],[c_98766]) ).
tff(c_98782,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_98768,c_7285]) ).
tff(c_98808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_98782]) ).
tff(c_98809,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_98766]) ).
tff(c_99179,plain,
product(e_4,e_3,e_2),
inference(splitLeft,[status(thm)],[c_98809]) ).
tff(c_99188,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_99179,c_90739]) ).
tff(c_99233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_99188]) ).
tff(c_99234,plain,
product(e_4,e_3,e_3),
inference(splitRight,[status(thm)],[c_98809]) ).
tff(c_99731,plain,
! [X_1825] :
( product(X_1825,e_4,e_3)
| ~ product(X_1825,e_3,e_4) ),
inference(resolution,[status(thm)],[c_99234,c_124]) ).
tff(c_99784,plain,
( equalish(e_4,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[c_99731,c_6339]) ).
tff(c_99848,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_7257,c_99784]) ).
tff(c_99850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_99848]) ).
tff(c_99851,plain,
product(e_6,e_5,e_3),
inference(splitRight,[status(thm)],[c_93607]) ).
tff(c_99862,plain,
( equalish(e_3,e_2)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_99851,c_91333]) ).
tff(c_99920,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_70815,c_99862]) ).
tff(c_99922,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_99920]) ).
tff(c_99924,plain,
product(e_4,e_3,e_6),
inference(splitRight,[status(thm)],[c_91583]) ).
tff(c_99989,plain,
! [W_1826] :
( equalish(W_1826,e_3)
| ~ product(e_4,W_1826,e_6) ),
inference(resolution,[status(thm)],[c_99924,c_120]) ).
tff(c_99996,plain,
( equalish(e_5,e_3)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_90653,c_99989]) ).
tff(c_100011,plain,
( equalish(e_5,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_99996]) ).
tff(c_100012,plain,
product(e_4,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_13546,c_91489,c_9486,c_100,c_100011]) ).
tff(c_100075,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_100012,c_9059]) ).
tff(c_100175,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_100075]) ).
tff(c_100177,plain,
product(e_4,e_3,e_5),
inference(splitRight,[status(thm)],[c_92357]) ).
tff(c_70902,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_3,e_5) ),
inference(resolution,[status(thm)],[c_70815,c_122]) ).
tff(c_100185,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_100177,c_70902]) ).
tff(c_100212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_100185]) ).
tff(c_100213,plain,
product(e_5,e_4,e_3),
inference(splitRight,[status(thm)],[c_90885]) ).
tff(c_81942,plain,
! [W_8] :
( equalish(W_8,e_6)
| ~ product(e_5,e_4,W_8) ),
inference(resolution,[status(thm)],[c_81901,c_118]) ).
tff(c_100219,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_100213,c_81942]) ).
tff(c_100265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_100219]) ).
tff(c_100266,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_89619]) ).
tff(c_100922,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_100266]) ).
tff(c_101064,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_100922,c_9058]) ).
tff(c_101091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_101064]) ).
tff(c_101092,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_100266]) ).
tff(c_101322,plain,
! [W_1833] :
( equalish(W_1833,e_3)
| ~ product(W_1833,e_6,e_3) ),
inference(resolution,[status(thm)],[c_101092,c_122]) ).
tff(c_101553,plain,
! [X_1835] :
( equalish(X_1835,e_3)
| ~ product(X_1835,e_4,e_6) ),
inference(resolution,[status(thm)],[c_70862,c_101322]) ).
tff(c_101556,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_81901,c_101553]) ).
tff(c_101564,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_101556]) ).
tff(c_101565,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_13545]) ).
tff(c_101656,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_101565]) ).
tff(c_101917,plain,
! [X_18] :
( product(X_18,e_4,e_2)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_101656,c_124]) ).
tff(c_311,plain,
! [X_18,X_62] :
( product(X_18,X_62,e_3)
| ~ product(X_18,e_1,X_62)
| ~ next(X_62,e_3)
| product(X_62,e_1,e_2)
| product(X_62,e_1,e_1)
| ~ group_element(X_62) ),
inference(resolution,[status(thm)],[c_296,c_124]) ).
tff(c_101751,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_101656,c_311]) ).
tff(c_101907,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_101751]) ).
tff(c_101908,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_101907]) ).
tff(c_106209,plain,
! [X_139] :
( product(X_139,e_5,e_6)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_1)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(negUnitSimplification,[status(thm)],[c_8737,c_9493,c_1923]) ).
tff(c_106210,plain,
product(e_5,e_1,e_1),
inference(splitLeft,[status(thm)],[c_106209]) ).
tff(c_106295,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_106210,c_2268]) ).
tff(c_106439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_106295]) ).
tff(c_106441,plain,
~ product(e_5,e_1,e_1),
inference(splitRight,[status(thm)],[c_106209]) ).
tff(c_106440,plain,
! [X_139] :
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_106209]) ).
tff(c_107123,plain,
product(e_5,e_1,e_5),
inference(splitLeft,[status(thm)],[c_106440]) ).
tff(c_107759,plain,
! [X_1928] :
( product(X_1928,e_5,e_5)
| ~ product(X_1928,e_1,e_5) ),
inference(resolution,[status(thm)],[c_107123,c_124]) ).
tff(c_107353,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_107123,c_120]) ).
tff(c_107763,plain,
( equalish(e_5,e_1)
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[c_107759,c_107353]) ).
tff(c_107780,plain,
equalish(e_5,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_107123,c_107763]) ).
tff(c_107782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_107780]) ).
tff(c_107783,plain,
! [X_139] :
( product(e_5,e_1,e_4)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_106440]) ).
tff(c_107844,plain,
product(e_5,e_1,e_4),
inference(splitLeft,[status(thm)],[c_107783]) ).
tff(c_107876,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_107844,c_9059]) ).
tff(c_107992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_107876]) ).
tff(c_107994,plain,
~ product(e_5,e_1,e_4),
inference(splitRight,[status(thm)],[c_107783]) ).
tff(c_107784,plain,
~ product(e_5,e_1,e_5),
inference(splitRight,[status(thm)],[c_106440]) ).
tff(c_2394,plain,
! [X_172,Y_173] :
( product(X_172,e_6,e_6)
| product(e_6,Y_173,e_5)
| product(e_6,Y_173,e_4)
| product(e_6,Y_173,e_3)
| product(e_6,Y_173,e_2)
| product(e_6,Y_173,e_1)
| product(X_172,Y_173,e_5)
| product(X_172,Y_173,e_4)
| product(X_172,Y_173,e_3)
| product(X_172,Y_173,e_2)
| product(X_172,Y_173,e_1)
| ~ group_element(Y_173)
| ~ group_element(X_172) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_492]) ).
tff(c_2432,plain,
! [Y_173,X_172] :
( product(e_6,e_5,e_6)
| product(e_5,Y_173,e_5)
| product(e_5,Y_173,e_4)
| product(e_5,Y_173,e_3)
| product(e_5,Y_173,e_2)
| product(e_5,Y_173,e_1)
| ~ group_element(e_5)
| product(X_172,e_6,e_6)
| product(e_6,Y_173,e_4)
| product(e_6,Y_173,e_3)
| product(e_6,Y_173,e_2)
| product(e_6,Y_173,e_1)
| product(X_172,Y_173,e_5)
| product(X_172,Y_173,e_4)
| product(X_172,Y_173,e_3)
| product(X_172,Y_173,e_2)
| product(X_172,Y_173,e_1)
| ~ group_element(Y_173)
| ~ group_element(X_172) ),
inference(resolution,[status(thm)],[c_2394,c_219]) ).
tff(c_2534,plain,
! [Y_173,X_172] :
( product(e_6,e_5,e_6)
| product(e_5,Y_173,e_5)
| product(e_5,Y_173,e_4)
| product(e_5,Y_173,e_3)
| product(e_5,Y_173,e_2)
| product(e_5,Y_173,e_1)
| product(X_172,e_6,e_6)
| product(e_6,Y_173,e_4)
| product(e_6,Y_173,e_3)
| product(e_6,Y_173,e_2)
| product(e_6,Y_173,e_1)
| product(X_172,Y_173,e_5)
| product(X_172,Y_173,e_4)
| product(X_172,Y_173,e_3)
| product(X_172,Y_173,e_2)
| product(X_172,Y_173,e_1)
| ~ group_element(Y_173)
| ~ group_element(X_172) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2432]) ).
tff(c_158049,plain,
product(e_6,e_5,e_6),
inference(splitLeft,[status(thm)],[c_2534]) ).
tff(c_158078,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_158049,c_4836]) ).
tff(c_158144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_158078]) ).
tff(c_158146,plain,
~ product(e_6,e_5,e_6),
inference(splitRight,[status(thm)],[c_2534]) ).
tff(c_158152,plain,
( product(e_6,e_5,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_6) ),
inference(resolution,[status(thm)],[c_116,c_158146]) ).
tff(c_158158,plain,
( product(e_6,e_5,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52,c_158152]) ).
tff(c_164541,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_158158]) ).
tff(c_168192,plain,
! [X_2619] :
( product(X_2619,e_6,e_1)
| ~ product(X_2619,e_5,e_6) ),
inference(resolution,[status(thm)],[c_164541,c_124]) ).
tff(c_168310,plain,
( equalish(e_6,e_1)
| ~ product(e_1,e_5,e_6) ),
inference(resolution,[status(thm)],[c_168192,c_2267]) ).
tff(c_168461,plain,
~ product(e_1,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_106,c_168310]) ).
tff(c_168480,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_168461]) ).
tff(c_168487,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_52,c_168480]) ).
tff(c_176471,plain,
product(e_1,e_5,e_1),
inference(splitLeft,[status(thm)],[c_168487]) ).
tff(c_164790,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_164541,c_122]) ).
tff(c_176479,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_176471,c_164790]) ).
tff(c_176591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_176479]) ).
tff(c_176592,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_168487]) ).
tff(c_176638,plain,
product(e_1,e_5,e_5),
inference(splitLeft,[status(thm)],[c_176592]) ).
tff(c_177174,plain,
! [X_2674] :
( product(X_2674,e_1,e_5)
| ~ product(X_2674,e_5,e_1) ),
inference(resolution,[status(thm)],[c_176638,c_124]) ).
tff(c_177178,plain,
product(e_6,e_1,e_5),
inference(resolution,[status(thm)],[c_164541,c_177174]) ).
tff(c_177357,plain,
( product(e_6,e_5,e_6)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_177178,c_219]) ).
tff(c_177691,plain,
( product(e_6,e_5,e_6)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_44,c_177357]) ).
tff(c_177693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106441,c_8737,c_9493,c_107994,c_107784,c_158146,c_177691]) ).
tff(c_177694,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_176592]) ).
tff(c_180766,plain,
product(e_1,e_5,e_2),
inference(splitLeft,[status(thm)],[c_177694]) ).
tff(c_7261,plain,
( product(e_2,e_4,e_6)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_7257,c_219]) ).
tff(c_7278,plain,
( product(e_2,e_4,e_6)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_48,c_7261]) ).
tff(c_122371,plain,
product(e_4,e_3,e_1),
inference(splitLeft,[status(thm)],[c_7278]) ).
tff(c_122856,plain,
! [X_2249] :
( product(X_2249,e_4,e_1)
| ~ product(X_2249,e_3,e_4) ),
inference(resolution,[status(thm)],[c_122371,c_124]) ).
tff(c_102758,plain,
! [X_1846] :
( product(X_1846,e_4,e_3)
| ~ product(X_1846,e_2,e_4) ),
inference(resolution,[status(thm)],[c_101908,c_124]) ).
tff(c_102848,plain,
! [X_18,X_1846] :
( product(X_18,X_1846,e_3)
| ~ product(X_18,e_4,X_1846)
| ~ product(X_1846,e_2,e_4) ),
inference(resolution,[status(thm)],[c_102758,c_124]) ).
tff(c_123002,plain,
! [X_2249] :
( product(X_2249,e_1,e_3)
| ~ product(e_1,e_2,e_4)
| ~ product(X_2249,e_3,e_4) ),
inference(resolution,[status(thm)],[c_122856,c_102848]) ).
tff(c_126255,plain,
~ product(e_1,e_2,e_4),
inference(splitLeft,[status(thm)],[c_123002]) ).
tff(c_122934,plain,
( equalish(e_4,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[c_122856,c_2267]) ).
tff(c_123024,plain,
~ product(e_1,e_3,e_4),
inference(negUnitSimplification,[status(thm)],[c_86,c_122934]) ).
tff(c_122446,plain,
( product(e_4,e_1,e_6)
| product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_122371,c_219]) ).
tff(c_122560,plain,
( product(e_4,e_1,e_6)
| product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_48,c_122446]) ).
tff(c_140057,plain,
( product(e_4,e_1,e_6)
| product(e_1,e_3,e_5)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_123024,c_122560]) ).
tff(c_140058,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_140057]) ).
tff(c_122567,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_122371,c_122]) ).
tff(c_140465,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_140058,c_122567]) ).
tff(c_140694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_140465]) ).
tff(c_140695,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_5)
| product(e_4,e_1,e_6) ),
inference(splitRight,[status(thm)],[c_140057]) ).
tff(c_140749,plain,
product(e_4,e_1,e_6),
inference(splitLeft,[status(thm)],[c_140695]) ).
tff(c_101921,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_4,e_1,W_8) ),
inference(resolution,[status(thm)],[c_101656,c_118]) ).
tff(c_140856,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_140749,c_101921]) ).
tff(c_141118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_140856]) ).
tff(c_141119,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_140695]) ).
tff(c_141238,plain,
product(e_1,e_3,e_2),
inference(splitLeft,[status(thm)],[c_141119]) ).
tff(c_9280,plain,
! [X_18,X_353] :
( product(X_18,X_353,e_4)
| ~ product(X_18,e_3,X_353)
| ~ product(X_353,e_1,e_3) ),
inference(resolution,[status(thm)],[c_9231,c_124]) ).
tff(c_141633,plain,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_141238,c_9280]) ).
tff(c_141786,plain,
product(e_1,e_2,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_141633]) ).
tff(c_141788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126255,c_141786]) ).
tff(c_141789,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_141119]) ).
tff(c_141795,plain,
product(e_1,e_3,e_5),
inference(splitLeft,[status(thm)],[c_141789]) ).
tff(c_144062,plain,
! [X_2473] :
( product(X_2473,e_1,e_5)
| ~ product(X_2473,e_3,e_1) ),
inference(resolution,[status(thm)],[c_141795,c_124]) ).
tff(c_144098,plain,
product(e_4,e_1,e_5),
inference(resolution,[status(thm)],[c_122371,c_144062]) ).
tff(c_144481,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_144098,c_101921]) ).
tff(c_144772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_144481]) ).
tff(c_144773,plain,
product(e_1,e_3,e_3),
inference(splitRight,[status(thm)],[c_141789]) ).
tff(c_147044,plain,
! [X_2479] :
( product(X_2479,e_1,e_3)
| ~ product(X_2479,e_3,e_1) ),
inference(resolution,[status(thm)],[c_144773,c_124]) ).
tff(c_147071,plain,
product(e_4,e_1,e_3),
inference(resolution,[status(thm)],[c_122371,c_147044]) ).
tff(c_147083,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9486,c_147071]) ).
tff(c_147085,plain,
product(e_1,e_2,e_4),
inference(splitRight,[status(thm)],[c_123002]) ).
tff(c_147175,plain,
( product(e_1,e_4,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c_147085,c_6603]) ).
tff(c_147319,plain,
product(e_1,e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_101656,c_147175]) ).
tff(c_102690,plain,
! [X_1845] :
( product(X_1845,e_4,e_2)
| ~ product(X_1845,e_1,e_4) ),
inference(resolution,[status(thm)],[c_101656,c_124]) ).
tff(c_102747,plain,
! [X_18,X_1845] :
( product(X_18,X_1845,e_2)
| ~ product(X_18,e_4,X_1845)
| ~ product(X_1845,e_1,e_4) ),
inference(resolution,[status(thm)],[c_102690,c_124]) ).
tff(c_147365,plain,
( product(e_1,e_3,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_147319,c_102747]) ).
tff(c_147433,plain,
product(e_1,e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_8910,c_147365]) ).
tff(c_147640,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_1,W_11,e_2) ),
inference(resolution,[status(thm)],[c_147433,c_120]) ).
tff(c_180789,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_180766,c_147640]) ).
tff(c_180858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_180789]) ).
tff(c_180859,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_177694]) ).
tff(c_180861,plain,
product(e_1,e_5,e_4),
inference(splitLeft,[status(thm)],[c_180859]) ).
tff(c_147343,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_1,W_11,e_4) ),
inference(resolution,[status(thm)],[c_147085,c_120]) ).
tff(c_180883,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_180861,c_147343]) ).
tff(c_180942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_180883]) ).
tff(c_180943,plain,
product(e_1,e_5,e_3),
inference(splitRight,[status(thm)],[c_180859]) ).
tff(c_147494,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_1,W_11,e_3) ),
inference(resolution,[status(thm)],[c_147319,c_120]) ).
tff(c_180971,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_180943,c_147494]) ).
tff(c_181047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_180971]) ).
tff(c_181048,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_158158]) ).
tff(c_181050,plain,
product(e_6,e_5,e_5),
inference(splitLeft,[status(thm)],[c_181048]) ).
tff(c_181049,plain,
~ product(e_6,e_5,e_1),
inference(splitRight,[status(thm)],[c_158158]) ).
tff(c_183910,plain,
( product(e_6,e_5,e_6)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_181050,c_219]) ).
tff(c_184003,plain,
( product(e_6,e_5,e_6)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_183910]) ).
tff(c_184004,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_158146,c_184003]) ).
tff(c_187633,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_184004]) ).
tff(c_190496,plain,
! [X_2720] :
( product(X_2720,e_5,e_1)
| ~ product(X_2720,e_5,e_5) ),
inference(resolution,[status(thm)],[c_187633,c_124]) ).
tff(c_190515,plain,
product(e_6,e_5,e_1),
inference(resolution,[status(thm)],[c_181050,c_190496]) ).
tff(c_190603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_181049,c_190515]) ).
tff(c_190604,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_184004]) ).
tff(c_190606,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_190604]) ).
tff(c_184011,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_5) ),
inference(resolution,[status(thm)],[c_181050,c_122]) ).
tff(c_190611,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_190606,c_184011]) ).
tff(c_190673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_190611]) ).
tff(c_190674,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_190604]) ).
tff(c_190746,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_190674]) ).
tff(c_193261,plain,
! [X_2727] :
( product(X_2727,e_5,e_2)
| ~ product(X_2727,e_5,e_5) ),
inference(resolution,[status(thm)],[c_190746,c_124]) ).
tff(c_193367,plain,
product(e_6,e_5,e_2),
inference(resolution,[status(thm)],[c_181050,c_193261]) ).
tff(c_190875,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_190746,c_122]) ).
tff(c_193428,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_193367,c_190875]) ).
tff(c_193487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_193428]) ).
tff(c_193488,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_190674]) ).
tff(c_193490,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_193488]) ).
tff(c_195958,plain,
! [X_2734] :
( product(X_2734,e_5,e_4)
| ~ product(X_2734,e_5,e_5) ),
inference(resolution,[status(thm)],[c_193490,c_124]) ).
tff(c_196064,plain,
product(e_6,e_5,e_4),
inference(resolution,[status(thm)],[c_181050,c_195958]) ).
tff(c_193590,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_193490,c_122]) ).
tff(c_196125,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_196064,c_193590]) ).
tff(c_196174,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_196125]) ).
tff(c_196175,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_193488]) ).
tff(c_198737,plain,
! [X_2741] :
( product(X_2741,e_5,e_3)
| ~ product(X_2741,e_5,e_5) ),
inference(resolution,[status(thm)],[c_196175,c_124]) ).
tff(c_198843,plain,
product(e_6,e_5,e_3),
inference(resolution,[status(thm)],[c_181050,c_198737]) ).
tff(c_196327,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_3) ),
inference(resolution,[status(thm)],[c_196175,c_122]) ).
tff(c_198966,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_198843,c_196327]) ).
tff(c_199031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_198966]) ).
tff(c_199032,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_181048]) ).
tff(c_199114,plain,
product(e_6,e_5,e_2),
inference(splitLeft,[status(thm)],[c_199032]) ).
tff(c_202078,plain,
! [X_18] :
( product(X_18,e_6,e_2)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_199114,c_124]) ).
tff(c_202351,plain,
! [X_2748] :
( product(X_2748,e_6,e_2)
| ~ product(X_2748,e_5,e_6) ),
inference(resolution,[status(thm)],[c_199114,c_124]) ).
tff(c_205014,plain,
! [X_2760,X_2761] :
( product(X_2760,X_2761,e_2)
| ~ product(X_2760,e_6,X_2761)
| ~ product(X_2761,e_5,e_6) ),
inference(resolution,[status(thm)],[c_202351,c_124]) ).
tff(c_205110,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_5,e_6)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_202078,c_205014]) ).
tff(c_207003,plain,
~ product(e_2,e_5,e_6),
inference(splitLeft,[status(thm)],[c_205110]) ).
tff(c_207012,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_207003]) ).
tff(c_207019,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_52,c_207012]) ).
tff(c_209669,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_207019]) ).
tff(c_123378,plain,
! [X_2264,X_2265] :
( product(X_2264,X_2265,e_1)
| ~ product(X_2264,e_4,X_2265)
| ~ product(X_2265,e_3,e_4) ),
inference(resolution,[status(thm)],[c_122856,c_124]) ).
tff(c_123384,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_101917,c_123378]) ).
tff(c_123453,plain,
! [X_2266] :
( product(X_2266,e_2,e_1)
| ~ product(X_2266,e_1,e_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_7257,c_123384]) ).
tff(c_124113,plain,
! [X_2285,X_2286] :
( product(X_2285,X_2286,e_1)
| ~ product(X_2285,e_2,X_2286)
| ~ product(X_2286,e_1,e_4) ),
inference(resolution,[status(thm)],[c_123453,c_124]) ).
tff(c_124131,plain,
! [X_18] :
( product(X_18,e_3,e_1)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_6338,c_124113]) ).
tff(c_124225,plain,
! [X_2287] :
( product(X_2287,e_3,e_1)
| ~ product(X_2287,e_1,e_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_8910,c_124131]) ).
tff(c_125137,plain,
! [X_2299,X_2300] :
( product(X_2299,X_2300,e_1)
| ~ product(X_2299,e_3,X_2300)
| ~ product(X_2300,e_1,e_2) ),
inference(resolution,[status(thm)],[c_124225,c_124]) ).
tff(c_125149,plain,
! [X_18] :
( product(X_18,e_4,e_1)
| ~ product(e_4,e_1,e_2)
| ~ product(X_18,e_1,e_3) ),
inference(resolution,[status(thm)],[c_9056,c_125137]) ).
tff(c_125806,plain,
! [X_2308] :
( product(X_2308,e_4,e_1)
| ~ product(X_2308,e_1,e_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_101656,c_125149]) ).
tff(c_126013,plain,
! [W_11,X_2308] :
( equalish(W_11,e_4)
| ~ product(X_2308,W_11,e_1)
| ~ product(X_2308,e_1,e_3) ),
inference(resolution,[status(thm)],[c_125806,c_120]) ).
tff(c_209691,plain,
( equalish(e_5,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_209669,c_126013]) ).
tff(c_209808,plain,
equalish(e_5,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_209691]) ).
tff(c_209810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_209808]) ).
tff(c_209811,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_207019]) ).
tff(c_209814,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_209811]) ).
tff(c_209958,plain,
! [W_2775] :
( equalish(W_2775,e_5)
| ~ product(e_2,W_2775,e_5) ),
inference(resolution,[status(thm)],[c_209814,c_120]) ).
tff(c_209989,plain,
( equalish(e_6,e_5)
| equalish(e_2,e_6)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_4875,c_209958]) ).
tff(c_210039,plain,
( equalish(e_6,e_5)
| equalish(e_2,e_6)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_209989]) ).
tff(c_210040,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_74,c_114,c_210039]) ).
tff(c_212437,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_210040]) ).
tff(c_212469,plain,
( equalish(e_6,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_212437,c_126013]) ).
tff(c_212597,plain,
equalish(e_6,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_212469]) ).
tff(c_212599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_212597]) ).
tff(c_212600,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_210040]) ).
tff(c_212602,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_212600]) ).
tff(c_212642,plain,
( equalish(e_6,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_212602,c_9281]) ).
tff(c_212718,plain,
equalish(e_6,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_212642]) ).
tff(c_212720,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_212718]) ).
tff(c_212721,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_212600]) ).
tff(c_212772,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_212721]) ).
tff(c_213214,plain,
! [X_2803] :
( product(X_2803,e_2,e_2)
| ~ product(X_2803,e_6,e_2) ),
inference(resolution,[status(thm)],[c_212772,c_124]) ).
tff(c_213221,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_212772,c_213214]) ).
tff(c_212939,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_212772,c_120]) ).
tff(c_213225,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_213221,c_212939]) ).
tff(c_213326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_213225]) ).
tff(c_213327,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_212721]) ).
tff(c_213572,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_213327,c_6339]) ).
tff(c_213677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_213572]) ).
tff(c_213678,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_209811]) ).
tff(c_213731,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_213678]) ).
tff(c_202080,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_199114,c_122]) ).
tff(c_213736,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_213731,c_202080]) ).
tff(c_213792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_213736]) ).
tff(c_213793,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_213678]) ).
tff(c_213795,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_213793]) ).
tff(c_214058,plain,
( equalish(e_5,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_213795,c_9281]) ).
tff(c_214126,plain,
equalish(e_5,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_214058]) ).
tff(c_214128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_214126]) ).
tff(c_214129,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_213793]) ).
tff(c_214178,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_214129,c_6339]) ).
tff(c_214270,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_214178]) ).
tff(c_214272,plain,
product(e_2,e_5,e_6),
inference(splitRight,[status(thm)],[c_205110]) ).
tff(c_214578,plain,
! [X_2810] :
( product(X_2810,e_2,e_2)
| ~ product(X_2810,e_5,e_6) ),
inference(splitRight,[status(thm)],[c_205110]) ).
tff(c_214598,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_214272,c_214578]) ).
tff(c_202522,plain,
! [W_11,X_2748] :
( equalish(W_11,e_6)
| ~ product(X_2748,W_11,e_2)
| ~ product(X_2748,e_5,e_6) ),
inference(resolution,[status(thm)],[c_202351,c_120]) ).
tff(c_217079,plain,
( equalish(e_2,e_6)
| ~ product(e_2,e_5,e_6) ),
inference(resolution,[status(thm)],[c_214598,c_202522]) ).
tff(c_217177,plain,
equalish(e_2,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_214272,c_217079]) ).
tff(c_217179,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_217177]) ).
tff(c_217180,plain,
( product(e_6,e_5,e_3)
| product(e_6,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_199032]) ).
tff(c_217182,plain,
product(e_6,e_5,e_4),
inference(splitLeft,[status(thm)],[c_217180]) ).
tff(c_219553,plain,
! [X_18] :
( product(X_18,e_6,e_4)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_217182,c_124]) ).
tff(c_222671,plain,
! [X_2825] :
( product(X_2825,e_6,e_4)
| ~ product(X_2825,e_5,e_6) ),
inference(resolution,[status(thm)],[c_217182,c_124]) ).
tff(c_223170,plain,
! [X_2833,X_2834] :
( product(X_2833,X_2834,e_4)
| ~ product(X_2833,e_6,X_2834)
| ~ product(X_2834,e_5,e_6) ),
inference(resolution,[status(thm)],[c_222671,c_124]) ).
tff(c_223251,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_5,e_6)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_219553,c_223170]) ).
tff(c_225787,plain,
~ product(e_4,e_5,e_6),
inference(splitLeft,[status(thm)],[c_223251]) ).
tff(c_225796,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_225787]) ).
tff(c_225803,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_52,c_225796]) ).
tff(c_225828,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_225803]) ).
tff(c_101566,plain,
~ product(e_3,e_4,e_5),
inference(splitRight,[status(thm)],[c_13545]) ).
tff(c_147397,plain,
( product(e_1,e_3,e_6)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_147319,c_219]) ).
tff(c_147483,plain,
( product(e_1,e_3,e_6)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_50,c_147397]) ).
tff(c_147484,plain,
( product(e_1,e_3,e_6)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_101566,c_147483]) ).
tff(c_153697,plain,
product(e_3,e_4,e_1),
inference(splitLeft,[status(thm)],[c_147484]) ).
tff(c_147493,plain,
! [X_18] :
( product(X_18,e_1,e_3)
| ~ product(X_18,e_4,e_1) ),
inference(resolution,[status(thm)],[c_147319,c_124]) ).
tff(c_153716,plain,
product(e_3,e_1,e_3),
inference(resolution,[status(thm)],[c_153697,c_147493]) ).
tff(c_153852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8870,c_153716]) ).
tff(c_153853,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_1,e_3,e_6) ),
inference(splitRight,[status(thm)],[c_147484]) ).
tff(c_153863,plain,
product(e_1,e_3,e_6),
inference(splitLeft,[status(thm)],[c_153853]) ).
tff(c_147642,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_1,e_3,W_8) ),
inference(resolution,[status(thm)],[c_147433,c_118]) ).
tff(c_153889,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_153863,c_147642]) ).
tff(c_153979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_153889]) ).
tff(c_153980,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_153853]) ).
tff(c_154459,plain,
product(e_3,e_4,e_2),
inference(splitLeft,[status(thm)],[c_153980]) ).
tff(c_123032,plain,
! [X_18,X_2249] :
( product(X_18,X_2249,e_1)
| ~ product(X_18,e_4,X_2249)
| ~ product(X_2249,e_3,e_4) ),
inference(resolution,[status(thm)],[c_122856,c_124]) ).
tff(c_154481,plain,
( product(e_3,e_2,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[c_154459,c_123032]) ).
tff(c_154561,plain,
product(e_3,e_2,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_7257,c_154481]) ).
tff(c_156027,plain,
! [X_2578] :
( product(X_2578,e_3,e_1)
| ~ product(X_2578,e_2,e_3) ),
inference(resolution,[status(thm)],[c_154561,c_124]) ).
tff(c_156385,plain,
! [W_11,X_2578] :
( equalish(W_11,e_3)
| ~ product(X_2578,W_11,e_1)
| ~ product(X_2578,e_2,e_3) ),
inference(resolution,[status(thm)],[c_156027,c_120]) ).
tff(c_225830,plain,
( equalish(e_5,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[c_225828,c_156385]) ).
tff(c_225933,plain,
equalish(e_5,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_101908,c_225830]) ).
tff(c_225935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_225933]) ).
tff(c_225936,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_225803]) ).
tff(c_225938,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_225936]) ).
tff(c_228220,plain,
! [W_2842] :
( equalish(W_2842,e_5)
| ~ product(e_4,W_2842,e_5) ),
inference(resolution,[status(thm)],[c_225938,c_120]) ).
tff(c_228251,plain,
( equalish(e_6,e_5)
| equalish(e_6,e_4)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_4828,c_228220]) ).
tff(c_228297,plain,
( equalish(e_6,e_5)
| equalish(e_6,e_4)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_228251]) ).
tff(c_228298,plain,
( product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_114,c_228297]) ).
tff(c_232245,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_228298]) ).
tff(c_232498,plain,
( equalish(e_6,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[c_232245,c_156385]) ).
tff(c_232612,plain,
equalish(e_6,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_101908,c_232498]) ).
tff(c_232614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_232612]) ).
tff(c_232615,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_228298]) ).
tff(c_232617,plain,
product(e_4,e_6,e_4),
inference(splitLeft,[status(thm)],[c_232615]) ).
tff(c_233326,plain,
! [X_2870] :
( product(X_2870,e_4,e_4)
| ~ product(X_2870,e_6,e_4) ),
inference(resolution,[status(thm)],[c_232617,c_124]) ).
tff(c_233355,plain,
product(e_4,e_4,e_4),
inference(resolution,[status(thm)],[c_232617,c_233326]) ).
tff(c_233025,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_232617,c_120]) ).
tff(c_233374,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_233355,c_233025]) ).
tff(c_233440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_233374]) ).
tff(c_233441,plain,
( product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_232615]) ).
tff(c_233452,plain,
product(e_4,e_6,e_2),
inference(splitLeft,[status(thm)],[c_233441]) ).
tff(c_101919,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_2) ),
inference(resolution,[status(thm)],[c_101656,c_120]) ).
tff(c_233493,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_233452,c_101919]) ).
tff(c_233576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_233493]) ).
tff(c_233577,plain,
product(e_4,e_6,e_3),
inference(splitRight,[status(thm)],[c_233441]) ).
tff(c_102107,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_4,W_11,e_3) ),
inference(resolution,[status(thm)],[c_101908,c_120]) ).
tff(c_233858,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_233577,c_102107]) ).
tff(c_233947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_233858]) ).
tff(c_233948,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_225936]) ).
tff(c_233999,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_233948]) ).
tff(c_234026,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_233999,c_101919]) ).
tff(c_234096,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_234026]) ).
tff(c_234097,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_233948]) ).
tff(c_234099,plain,
product(e_4,e_5,e_4),
inference(splitLeft,[status(thm)],[c_234097]) ).
tff(c_219555,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_217182,c_122]) ).
tff(c_234104,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_234099,c_219555]) ).
tff(c_234150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_234104]) ).
tff(c_234151,plain,
product(e_4,e_5,e_3),
inference(splitRight,[status(thm)],[c_234097]) ).
tff(c_236320,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_234151,c_102107]) ).
tff(c_236396,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_236320]) ).
tff(c_236398,plain,
product(e_4,e_5,e_6),
inference(splitRight,[status(thm)],[c_223251]) ).
tff(c_236667,plain,
! [X_2879] :
( product(X_2879,e_4,e_4)
| ~ product(X_2879,e_5,e_6) ),
inference(splitRight,[status(thm)],[c_223251]) ).
tff(c_236687,plain,
product(e_4,e_4,e_4),
inference(resolution,[status(thm)],[c_236398,c_236667]) ).
tff(c_222817,plain,
! [W_11,X_2825] :
( equalish(W_11,e_6)
| ~ product(X_2825,W_11,e_4)
| ~ product(X_2825,e_5,e_6) ),
inference(resolution,[status(thm)],[c_222671,c_120]) ).
tff(c_236696,plain,
( equalish(e_4,e_6)
| ~ product(e_4,e_5,e_6) ),
inference(resolution,[status(thm)],[c_236687,c_222817]) ).
tff(c_236759,plain,
equalish(e_4,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_236398,c_236696]) ).
tff(c_236761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_236759]) ).
tff(c_236762,plain,
product(e_6,e_5,e_3),
inference(splitRight,[status(thm)],[c_217180]) ).
tff(c_236925,plain,
! [X_18] :
( product(X_18,e_6,e_3)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_236762,c_124]) ).
tff(c_240087,plain,
! [X_2886] :
( product(X_2886,e_6,e_3)
| ~ product(X_2886,e_5,e_6) ),
inference(resolution,[status(thm)],[c_236762,c_124]) ).
tff(c_243095,plain,
! [X_2898,X_2899] :
( product(X_2898,X_2899,e_3)
| ~ product(X_2898,e_6,X_2899)
| ~ product(X_2899,e_5,e_6) ),
inference(resolution,[status(thm)],[c_240087,c_124]) ).
tff(c_243194,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_5,e_6)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_236925,c_243095]) ).
tff(c_243264,plain,
~ product(e_3,e_5,e_6),
inference(splitLeft,[status(thm)],[c_243194]) ).
tff(c_245413,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_243264]) ).
tff(c_245420,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_52,c_245413]) ).
tff(c_247468,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_245420]) ).
tff(c_155049,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_1) ),
inference(resolution,[status(thm)],[c_154561,c_120]) ).
tff(c_247474,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_247468,c_155049]) ).
tff(c_247577,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_247474]) ).
tff(c_247578,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_245420]) ).
tff(c_247580,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_247578]) ).
tff(c_247752,plain,
! [W_2915] :
( equalish(W_2915,e_5)
| ~ product(e_3,W_2915,e_5) ),
inference(resolution,[status(thm)],[c_247580,c_120]) ).
tff(c_247783,plain,
( equalish(e_6,e_5)
| equalish(e_3,e_6)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_4875,c_247752]) ).
tff(c_247833,plain,
( equalish(e_6,e_5)
| equalish(e_3,e_6)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_247783]) ).
tff(c_247834,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_84,c_114,c_247833]) ).
tff(c_250148,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_247834]) ).
tff(c_250163,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_250148,c_155049]) ).
tff(c_250277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_250163]) ).
tff(c_250279,plain,
~ product(e_3,e_6,e_1),
inference(splitRight,[status(thm)],[c_247834]) ).
tff(c_250278,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_247834]) ).
tff(c_250280,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_250278]) ).
tff(c_250323,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_250280,c_9058]) ).
tff(c_250406,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_250323]) ).
tff(c_250407,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_250278]) ).
tff(c_250655,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_250407]) ).
tff(c_154625,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_154459,c_120]) ).
tff(c_250670,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_250655,c_154625]) ).
tff(c_250736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_250670]) ).
tff(c_250738,plain,
~ product(e_3,e_6,e_2),
inference(splitRight,[status(thm)],[c_250407]) ).
tff(c_250408,plain,
~ product(e_3,e_6,e_4),
inference(splitRight,[status(thm)],[c_250278]) ).
tff(c_247787,plain,
( equalish(e_6,e_5)
| equalish(e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_4828,c_247752]) ).
tff(c_247837,plain,
( equalish(e_6,e_5)
| equalish(e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_247787]) ).
tff(c_247838,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_110,c_114,c_247837]) ).
tff(c_250739,plain,
product(e_3,e_6,e_3),
inference(negUnitSimplification,[status(thm)],[c_250279,c_250738,c_250408,c_247838]) ).
tff(c_252199,plain,
! [X_2944] :
( product(X_2944,e_3,e_3)
| ~ product(X_2944,e_6,e_3) ),
inference(resolution,[status(thm)],[c_250739,c_124]) ).
tff(c_252206,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_250739,c_252199]) ).
tff(c_250924,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_250739,c_120]) ).
tff(c_252210,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_252206,c_250924]) ).
tff(c_252313,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_252210]) ).
tff(c_252314,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_247578]) ).
tff(c_252395,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_252314]) ).
tff(c_252400,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_252395,c_154625]) ).
tff(c_252455,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_252400]) ).
tff(c_252456,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_252314]) ).
tff(c_252458,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_252456]) ).
tff(c_252488,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_252458,c_9058]) ).
tff(c_252556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_252488]) ).
tff(c_252557,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_252456]) ).
tff(c_236927,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_3) ),
inference(resolution,[status(thm)],[c_236762,c_122]) ).
tff(c_252568,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_252557,c_236927]) ).
tff(c_252630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_252568]) ).
tff(c_252632,plain,
product(e_3,e_5,e_6),
inference(splitRight,[status(thm)],[c_243194]) ).
tff(c_252936,plain,
! [X_2950] :
( product(X_2950,e_3,e_3)
| ~ product(X_2950,e_5,e_6) ),
inference(splitRight,[status(thm)],[c_243194]) ).
tff(c_252956,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_252632,c_252936]) ).
tff(c_240273,plain,
! [W_11,X_2886] :
( equalish(W_11,e_6)
| ~ product(X_2886,W_11,e_3)
| ~ product(X_2886,e_5,e_6) ),
inference(resolution,[status(thm)],[c_240087,c_120]) ).
tff(c_254807,plain,
( equalish(e_3,e_6)
| ~ product(e_3,e_5,e_6) ),
inference(resolution,[status(thm)],[c_252956,c_240273]) ).
tff(c_254907,plain,
equalish(e_3,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_252632,c_254807]) ).
tff(c_254909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_254907]) ).
tff(c_254911,plain,
~ product(e_3,e_4,e_2),
inference(splitRight,[status(thm)],[c_153980]) ).
tff(c_254914,plain,
~ product(e_3,e_1,e_4),
inference(resolution,[status(thm)],[c_101917,c_254911]) ).
tff(c_254918,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8910,c_254914]) ).
tff(c_254919,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| product(e_2,e_4,e_6) ),
inference(splitRight,[status(thm)],[c_7278]) ).
tff(c_255197,plain,
product(e_2,e_4,e_6),
inference(splitLeft,[status(thm)],[c_254919]) ).
tff(c_255248,plain,
( product(e_2,e_6,e_3)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_255197,c_102848]) ).
tff(c_255935,plain,
~ product(e_6,e_2,e_4),
inference(splitLeft,[status(thm)],[c_255248]) ).
tff(c_255745,plain,
! [X_2962] :
( product(X_2962,e_2,e_6)
| ~ product(X_2962,e_4,e_2) ),
inference(resolution,[status(thm)],[c_255197,c_124]) ).
tff(c_255750,plain,
! [X_2963] :
( product(X_2963,e_2,e_6)
| ~ product(X_2963,e_1,e_4) ),
inference(resolution,[status(thm)],[c_101917,c_255745]) ).
tff(c_256186,plain,
! [X_2974,X_2975] :
( product(X_2974,X_2975,e_6)
| ~ product(X_2974,e_2,X_2975)
| ~ product(X_2975,e_1,e_4) ),
inference(resolution,[status(thm)],[c_255750,c_124]) ).
tff(c_256190,plain,
( product(e_4,e_3,e_6)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_101908,c_256186]) ).
tff(c_256241,plain,
product(e_4,e_3,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_8910,c_256190]) ).
tff(c_256717,plain,
! [X_2980] :
( product(X_2980,e_4,e_6)
| ~ product(X_2980,e_3,e_4) ),
inference(resolution,[status(thm)],[c_256241,c_124]) ).
tff(c_256761,plain,
( equalish(e_4,e_6)
| ~ product(e_6,e_3,e_4) ),
inference(resolution,[status(thm)],[c_256717,c_4836]) ).
tff(c_256823,plain,
~ product(e_6,e_3,e_4),
inference(negUnitSimplification,[status(thm)],[c_94,c_256761]) ).
tff(c_257278,plain,
~ product(e_6,e_1,e_3),
inference(resolution,[status(thm)],[c_9056,c_256823]) ).
tff(c_255217,plain,
( product(e_2,e_6,e_6)
| product(e_6,e_4,e_5)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_6) ),
inference(resolution,[status(thm)],[c_255197,c_219]) ).
tff(c_255256,plain,
( product(e_2,e_6,e_6)
| product(e_6,e_4,e_5)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_50,c_255217]) ).
tff(c_265905,plain,
product(e_6,e_4,e_1),
inference(splitLeft,[status(thm)],[c_255256]) ).
tff(c_265981,plain,
( product(e_6,e_1,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[c_265905,c_102848]) ).
tff(c_266113,plain,
~ product(e_1,e_2,e_4),
inference(negUnitSimplification,[status(thm)],[c_257278,c_265981]) ).
tff(c_255810,plain,
( equalish(e_2,e_6)
| ~ product(e_6,e_1,e_4) ),
inference(resolution,[status(thm)],[c_255750,c_4836]) ).
tff(c_255900,plain,
~ product(e_6,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_74,c_255810]) ).
tff(c_271127,plain,
product(e_6,e_5,e_6),
inference(splitLeft,[status(thm)],[c_2534]) ).
tff(c_271182,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_271127,c_4836]) ).
tff(c_271292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_271182]) ).
tff(c_271294,plain,
~ product(e_6,e_5,e_6),
inference(splitRight,[status(thm)],[c_2534]) ).
tff(c_266454,plain,
! [X_3145] :
( product(X_3145,e_6,e_1)
| ~ product(X_3145,e_4,e_6) ),
inference(resolution,[status(thm)],[c_265905,c_124]) ).
tff(c_266538,plain,
( equalish(e_6,e_1)
| ~ product(e_1,e_4,e_6) ),
inference(resolution,[status(thm)],[c_266454,c_2267]) ).
tff(c_266643,plain,
~ product(e_1,e_4,e_6),
inference(negUnitSimplification,[status(thm)],[c_106,c_266538]) ).
tff(c_267182,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_266643]) ).
tff(c_267195,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_267182]) ).
tff(c_270444,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_267195]) ).
tff(c_266146,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_265905,c_122]) ).
tff(c_270636,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_270444,c_266146]) ).
tff(c_270757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_270636]) ).
tff(c_270758,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_267195]) ).
tff(c_270784,plain,
product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_270758]) ).
tff(c_271414,plain,
! [X_3187] :
( product(X_3187,e_1,e_5)
| ~ product(X_3187,e_4,e_1) ),
inference(resolution,[status(thm)],[c_270784,c_124]) ).
tff(c_271418,plain,
product(e_6,e_1,e_5),
inference(resolution,[status(thm)],[c_265905,c_271414]) ).
tff(c_271599,plain,
( product(e_6,e_5,e_6)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_271418,c_219]) ).
tff(c_271937,plain,
( product(e_6,e_5,e_6)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_44,c_271599]) ).
tff(c_271939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106441,c_8737,c_9493,c_107994,c_107784,c_271294,c_271937]) ).
tff(c_271940,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_270758]) ).
tff(c_271985,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_271940]) ).
tff(c_102749,plain,
! [W_14,X_1845] :
( equalish(W_14,X_1845)
| ~ product(W_14,e_4,e_2)
| ~ product(X_1845,e_1,e_4) ),
inference(resolution,[status(thm)],[c_102690,c_122]) ).
tff(c_274649,plain,
! [X_3193] :
( equalish(e_1,X_3193)
| ~ product(X_3193,e_1,e_4) ),
inference(resolution,[status(thm)],[c_271985,c_102749]) ).
tff(c_274658,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_8910,c_274649]) ).
tff(c_274669,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_274658]) ).
tff(c_274670,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_271940]) ).
tff(c_274676,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_274670]) ).
tff(c_275008,plain,
! [X_3199] :
( product(X_3199,e_1,e_4)
| ~ product(X_3199,e_4,e_1) ),
inference(resolution,[status(thm)],[c_274676,c_124]) ).
tff(c_275011,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_265905,c_275008]) ).
tff(c_275015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_255900,c_275011]) ).
tff(c_275016,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_274670]) ).
tff(c_275263,plain,
( product(e_1,e_3,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_275016,c_102747]) ).
tff(c_275360,plain,
product(e_1,e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_8910,c_275263]) ).
tff(c_275509,plain,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_275360,c_9280]) ).
tff(c_275664,plain,
product(e_1,e_2,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_275509]) ).
tff(c_275666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_266113,c_275664]) ).
tff(c_275667,plain,
( product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_5)
| product(e_2,e_6,e_6) ),
inference(splitRight,[status(thm)],[c_255256]) ).
tff(c_275669,plain,
product(e_2,e_6,e_6),
inference(splitLeft,[status(thm)],[c_275667]) ).
tff(c_256204,plain,
! [X_18] :
( product(X_18,e_3,e_6)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_6338,c_256186]) ).
tff(c_256529,plain,
! [X_2979] :
( product(X_2979,e_3,e_6)
| ~ product(X_2979,e_1,e_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_8910,c_256204]) ).
tff(c_257816,plain,
! [X_3010,X_3011] :
( product(X_3010,X_3011,e_6)
| ~ product(X_3010,e_3,X_3011)
| ~ product(X_3011,e_1,e_2) ),
inference(resolution,[status(thm)],[c_256529,c_124]) ).
tff(c_257828,plain,
! [X_18] :
( product(X_18,e_4,e_6)
| ~ product(e_4,e_1,e_2)
| ~ product(X_18,e_1,e_3) ),
inference(resolution,[status(thm)],[c_9056,c_257816]) ).
tff(c_257910,plain,
! [X_3012] :
( product(X_3012,e_4,e_6)
| ~ product(X_3012,e_1,e_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_101656,c_257828]) ).
tff(c_258050,plain,
! [W_11,X_3012] :
( equalish(W_11,e_4)
| ~ product(X_3012,W_11,e_6)
| ~ product(X_3012,e_1,e_3) ),
inference(resolution,[status(thm)],[c_257910,c_120]) ).
tff(c_275693,plain,
( equalish(e_6,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_275669,c_258050]) ).
tff(c_275787,plain,
equalish(e_6,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_275693]) ).
tff(c_275789,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_275787]) ).
tff(c_275790,plain,
( product(e_6,e_4,e_5)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_275667]) ).
tff(c_276258,plain,
product(e_6,e_4,e_2),
inference(splitLeft,[status(thm)],[c_275790]) ).
tff(c_255266,plain,
! [X_18] :
( product(X_18,e_2,e_6)
| ~ product(X_18,e_4,e_2) ),
inference(resolution,[status(thm)],[c_255197,c_124]) ).
tff(c_276370,plain,
product(e_6,e_2,e_6),
inference(resolution,[status(thm)],[c_276258,c_255266]) ).
tff(c_276607,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_276370,c_4836]) ).
tff(c_276776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_276607]) ).
tff(c_276777,plain,
( product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_275790]) ).
tff(c_276783,plain,
product(e_6,e_4,e_5),
inference(splitLeft,[status(thm)],[c_276777]) ).
tff(c_276967,plain,
! [X_18] :
( product(X_18,e_6,e_5)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_276783,c_124]) ).
tff(c_275668,plain,
~ product(e_6,e_4,e_1),
inference(splitRight,[status(thm)],[c_255256]) ).
tff(c_277723,plain,
! [X_3214] :
( product(X_3214,e_6,e_5)
| ~ product(X_3214,e_4,e_6) ),
inference(resolution,[status(thm)],[c_276783,c_124]) ).
tff(c_278611,plain,
! [X_3225,X_3226] :
( product(X_3225,X_3226,e_5)
| ~ product(X_3225,e_6,X_3226)
| ~ product(X_3226,e_4,e_6) ),
inference(resolution,[status(thm)],[c_277723,c_124]) ).
tff(c_278653,plain,
! [X_18] :
( product(X_18,e_5,e_5)
| ~ product(e_5,e_4,e_6)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_276967,c_278611]) ).
tff(c_278688,plain,
~ product(e_5,e_4,e_6),
inference(splitLeft,[status(thm)],[c_278653]) ).
tff(c_278703,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_278688]) ).
tff(c_278716,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_50,c_278703]) ).
tff(c_347330,plain,
product(e_5,e_4,e_1),
inference(splitLeft,[status(thm)],[c_278716]) ).
tff(c_350116,plain,
! [X_3411] :
( product(X_3411,e_5,e_1)
| ~ product(X_3411,e_4,e_5) ),
inference(resolution,[status(thm)],[c_347330,c_124]) ).
tff(c_278818,plain,
product(e_6,e_5,e_6),
inference(splitLeft,[status(thm)],[c_2534]) ).
tff(c_278873,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_278818,c_4836]) ).
tff(c_278983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_278873]) ).
tff(c_278985,plain,
~ product(e_6,e_5,e_6),
inference(splitRight,[status(thm)],[c_2534]) ).
tff(c_278991,plain,
( product(e_6,e_5,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_6) ),
inference(resolution,[status(thm)],[c_116,c_278985]) ).
tff(c_278998,plain,
( product(e_6,e_5,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52,c_278991]) ).
tff(c_281533,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_278998]) ).
tff(c_256586,plain,
( equalish(e_3,e_6)
| ~ product(e_6,e_1,e_2) ),
inference(resolution,[status(thm)],[c_256529,c_4836]) ).
tff(c_256654,plain,
~ product(e_6,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_84,c_256586]) ).
tff(c_282019,plain,
! [X_3239] :
( product(X_3239,e_6,e_1)
| ~ product(X_3239,e_5,e_6) ),
inference(resolution,[status(thm)],[c_281533,c_124]) ).
tff(c_282121,plain,
( equalish(e_6,e_1)
| ~ product(e_1,e_5,e_6) ),
inference(resolution,[status(thm)],[c_282019,c_2267]) ).
tff(c_282247,plain,
~ product(e_1,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_106,c_282121]) ).
tff(c_282264,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_282247]) ).
tff(c_282270,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_52,c_282264]) ).
tff(c_297335,plain,
product(e_1,e_5,e_1),
inference(splitLeft,[status(thm)],[c_282270]) ).
tff(c_281739,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_281533,c_122]) ).
tff(c_297340,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_297335,c_281739]) ).
tff(c_297432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_297340]) ).
tff(c_297433,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_282270]) ).
tff(c_297454,plain,
product(e_1,e_5,e_5),
inference(splitLeft,[status(thm)],[c_297433]) ).
tff(c_300828,plain,
! [X_3290] :
( product(X_3290,e_1,e_5)
| ~ product(X_3290,e_5,e_1) ),
inference(resolution,[status(thm)],[c_297454,c_124]) ).
tff(c_300832,plain,
product(e_6,e_1,e_5),
inference(resolution,[status(thm)],[c_281533,c_300828]) ).
tff(c_276968,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_6,W_11,e_5) ),
inference(resolution,[status(thm)],[c_276783,c_120]) ).
tff(c_300843,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_300832,c_276968]) ).
tff(c_301064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_300843]) ).
tff(c_301065,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_297433]) ).
tff(c_301136,plain,
product(e_1,e_5,e_2),
inference(splitLeft,[status(thm)],[c_301065]) ).
tff(c_304310,plain,
! [X_3299] :
( product(X_3299,e_1,e_2)
| ~ product(X_3299,e_5,e_1) ),
inference(resolution,[status(thm)],[c_301136,c_124]) ).
tff(c_304313,plain,
product(e_6,e_1,e_2),
inference(resolution,[status(thm)],[c_281533,c_304310]) ).
tff(c_304317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_256654,c_304313]) ).
tff(c_304318,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_301065]) ).
tff(c_304320,plain,
product(e_1,e_5,e_4),
inference(splitLeft,[status(thm)],[c_304318]) ).
tff(c_307437,plain,
! [X_3306] :
( product(X_3306,e_1,e_4)
| ~ product(X_3306,e_5,e_1) ),
inference(resolution,[status(thm)],[c_304320,c_124]) ).
tff(c_307440,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_281533,c_307437]) ).
tff(c_307444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_255900,c_307440]) ).
tff(c_307445,plain,
product(e_1,e_5,e_3),
inference(splitRight,[status(thm)],[c_304318]) ).
tff(c_310702,plain,
! [X_3313] :
( product(X_3313,e_1,e_3)
| ~ product(X_3313,e_5,e_1) ),
inference(resolution,[status(thm)],[c_307445,c_124]) ).
tff(c_310705,plain,
product(e_6,e_1,e_3),
inference(resolution,[status(thm)],[c_281533,c_310702]) ).
tff(c_310709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_257278,c_310705]) ).
tff(c_310710,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_278998]) ).
tff(c_310713,plain,
product(e_6,e_5,e_5),
inference(splitLeft,[status(thm)],[c_310710]) ).
tff(c_310722,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_310713,c_276968]) ).
tff(c_310790,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_310722]) ).
tff(c_310791,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_310710]) ).
tff(c_310858,plain,
product(e_6,e_5,e_2),
inference(splitLeft,[status(thm)],[c_310791]) ).
tff(c_310993,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_6,e_5,W_8) ),
inference(resolution,[status(thm)],[c_310858,c_118]) ).
tff(c_350142,plain,
( equalish(e_1,e_2)
| ~ product(e_6,e_4,e_5) ),
inference(resolution,[status(thm)],[c_350116,c_310993]) ).
tff(c_350250,plain,
equalish(e_1,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_276783,c_350142]) ).
tff(c_350252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_350250]) ).
tff(c_350253,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_278716]) ).
tff(c_350501,plain,
product(e_5,e_4,e_5),
inference(splitLeft,[status(thm)],[c_350253]) ).
tff(c_276969,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_5) ),
inference(resolution,[status(thm)],[c_276783,c_122]) ).
tff(c_350508,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_350501,c_276969]) ).
tff(c_350598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_350508]) ).
tff(c_350599,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_350253]) ).
tff(c_350672,plain,
product(e_5,e_4,e_2),
inference(splitLeft,[status(thm)],[c_350599]) ).
tff(c_353599,plain,
! [X_3420] :
( equalish(e_5,X_3420)
| ~ product(X_3420,e_1,e_4) ),
inference(resolution,[status(thm)],[c_350672,c_102749]) ).
tff(c_353616,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_8910,c_353599]) ).
tff(c_353627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_353616]) ).
tff(c_353628,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_350599]) ).
tff(c_355831,plain,
product(e_5,e_4,e_4),
inference(splitLeft,[status(thm)],[c_353628]) ).
tff(c_356219,plain,
! [X_3427] :
( product(X_3427,e_5,e_4)
| ~ product(X_3427,e_4,e_5) ),
inference(resolution,[status(thm)],[c_355831,c_124]) ).
tff(c_356241,plain,
( equalish(e_4,e_2)
| ~ product(e_6,e_4,e_5) ),
inference(resolution,[status(thm)],[c_356219,c_310993]) ).
tff(c_356304,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_276783,c_356241]) ).
tff(c_356306,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_356304]) ).
tff(c_356307,plain,
product(e_5,e_4,e_3),
inference(splitRight,[status(thm)],[c_353628]) ).
tff(c_275791,plain,
~ product(e_2,e_6,e_6),
inference(splitRight,[status(thm)],[c_275667]) ).
tff(c_276254,plain,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_275791]) ).
tff(c_276257,plain,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_54,c_276254]) ).
tff(c_278717,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_276257]) ).
tff(c_277875,plain,
! [W_8,X_3214] :
( equalish(W_8,e_5)
| ~ product(X_3214,e_6,W_8)
| ~ product(X_3214,e_4,e_6) ),
inference(resolution,[status(thm)],[c_277723,c_118]) ).
tff(c_278722,plain,
( equalish(e_1,e_5)
| ~ product(e_2,e_4,e_6) ),
inference(resolution,[status(thm)],[c_278717,c_277875]) ).
tff(c_278813,plain,
equalish(e_1,e_5),
inference(demodulation,[status(thm),theory(equality)],[c_255197,c_278722]) ).
tff(c_278815,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_278813]) ).
tff(c_278816,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(splitRight,[status(thm)],[c_276257]) ).
tff(c_278999,plain,
product(e_2,e_6,e_5),
inference(splitLeft,[status(thm)],[c_278816]) ).
tff(c_312812,plain,
! [X_3319] :
( product(X_3319,e_6,e_2)
| ~ product(X_3319,e_5,e_6) ),
inference(resolution,[status(thm)],[c_310858,c_124]) ).
tff(c_316052,plain,
! [X_3333,X_3334] :
( product(X_3333,X_3334,e_2)
| ~ product(X_3333,e_6,X_3334)
| ~ product(X_3334,e_5,e_6) ),
inference(resolution,[status(thm)],[c_312812,c_124]) ).
tff(c_316138,plain,
( product(e_2,e_5,e_2)
| ~ product(e_5,e_5,e_6) ),
inference(resolution,[status(thm)],[c_278999,c_316052]) ).
tff(c_316174,plain,
~ product(e_5,e_5,e_6),
inference(splitLeft,[status(thm)],[c_316138]) ).
tff(c_316183,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_316174]) ).
tff(c_316193,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_316183]) ).
tff(c_324615,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_316193]) ).
tff(c_312863,plain,
( equalish(e_6,e_1)
| ~ product(e_4,e_5,e_6) ),
inference(resolution,[status(thm)],[c_312812,c_101919]) ).
tff(c_312964,plain,
~ product(e_4,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_106,c_312863]) ).
tff(c_313005,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_312964]) ).
tff(c_313012,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_52,c_313005]) ).
tff(c_321715,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_313012]) ).
tff(c_321916,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_321715,c_122]) ).
tff(c_324618,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_324615,c_321916]) ).
tff(c_324705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_324618]) ).
tff(c_324706,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_316193]) ).
tff(c_324708,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_324706]) ).
tff(c_327690,plain,
! [W_3358] :
( equalish(W_3358,e_5)
| ~ product(e_5,W_3358,e_5) ),
inference(resolution,[status(thm)],[c_324708,c_120]) ).
tff(c_327730,plain,
( equalish(e_6,e_5)
| equalish(e_5,e_6)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_4875,c_327690]) ).
tff(c_327781,plain,
( equalish(e_6,e_5)
| equalish(e_5,e_6)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_327730]) ).
tff(c_327782,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_104,c_114,c_327781]) ).
tff(c_328117,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_327782]) ).
tff(c_330958,plain,
! [X_3367] :
( product(X_3367,e_5,e_1)
| ~ product(X_3367,e_6,e_5) ),
inference(resolution,[status(thm)],[c_328117,c_124]) ).
tff(c_331120,plain,
product(e_2,e_5,e_1),
inference(resolution,[status(thm)],[c_278999,c_330958]) ).
tff(c_331156,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_331120,c_321916]) ).
tff(c_331243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_331156]) ).
tff(c_331244,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_327782]) ).
tff(c_331246,plain,
product(e_5,e_6,e_4),
inference(splitLeft,[status(thm)],[c_331244]) ).
tff(c_333821,plain,
! [X_3374] :
( product(X_3374,e_5,e_4)
| ~ product(X_3374,e_6,e_5) ),
inference(resolution,[status(thm)],[c_331246,c_124]) ).
tff(c_333983,plain,
product(e_2,e_5,e_4),
inference(resolution,[status(thm)],[c_278999,c_333821]) ).
tff(c_334042,plain,
( equalish(e_5,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_333983,c_9281]) ).
tff(c_334107,plain,
equalish(e_5,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_334042]) ).
tff(c_334109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_334107]) ).
tff(c_334110,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_331244]) ).
tff(c_334116,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_334110]) ).
tff(c_279453,plain,
! [X_18] :
( product(X_18,e_2,e_5)
| ~ product(X_18,e_6,e_2) ),
inference(resolution,[status(thm)],[c_278999,c_124]) ).
tff(c_334194,plain,
product(e_5,e_2,e_5),
inference(resolution,[status(thm)],[c_334116,c_279453]) ).
tff(c_324857,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_324708,c_120]) ).
tff(c_334293,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_334194,c_324857]) ).
tff(c_334400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_334293]) ).
tff(c_334401,plain,
product(e_5,e_6,e_3),
inference(splitRight,[status(thm)],[c_334110]) ).
tff(c_337036,plain,
! [X_3381] :
( product(X_3381,e_5,e_3)
| ~ product(X_3381,e_6,e_5) ),
inference(resolution,[status(thm)],[c_334401,c_124]) ).
tff(c_337198,plain,
product(e_2,e_5,e_3),
inference(resolution,[status(thm)],[c_278999,c_337036]) ).
tff(c_337271,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_337198,c_6339]) ).
tff(c_337363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_337271]) ).
tff(c_337364,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_324706]) ).
tff(c_337429,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_337364]) ).
tff(c_310992,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_310858,c_122]) ).
tff(c_340278,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_337429,c_310992]) ).
tff(c_340334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_340278]) ).
tff(c_340335,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_337364]) ).
tff(c_340337,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_340335]) ).
tff(c_321914,plain,
! [X_18] :
( product(X_18,e_4,e_1)
| ~ product(X_18,e_5,e_4) ),
inference(resolution,[status(thm)],[c_321715,c_124]) ).
tff(c_340612,plain,
product(e_5,e_4,e_1),
inference(resolution,[status(thm)],[c_340337,c_321914]) ).
tff(c_343787,plain,
! [X_3397] :
( product(X_3397,e_5,e_1)
| ~ product(X_3397,e_4,e_5) ),
inference(resolution,[status(thm)],[c_340612,c_124]) ).
tff(c_343813,plain,
( equalish(e_1,e_2)
| ~ product(e_6,e_4,e_5) ),
inference(resolution,[status(thm)],[c_343787,c_310993]) ).
tff(c_343921,plain,
equalish(e_1,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_276783,c_343813]) ).
tff(c_343923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_343921]) ).
tff(c_343924,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_340335]) ).
tff(c_344073,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_5,W_11,e_3) ),
inference(resolution,[status(thm)],[c_343924,c_120]) ).
tff(c_356316,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_356307,c_344073]) ).
tff(c_356404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_356316]) ).
tff(c_356405,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_313012]) ).
tff(c_358823,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_356405]) ).
tff(c_356406,plain,
~ product(e_4,e_5,e_1),
inference(splitRight,[status(thm)],[c_313012]) ).
tff(c_365000,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_316193]) ).
tff(c_365541,plain,
! [X_3448] :
( product(X_3448,e_5,e_1)
| ~ product(X_3448,e_5,e_5) ),
inference(resolution,[status(thm)],[c_365000,c_124]) ).
tff(c_365558,plain,
product(e_4,e_5,e_1),
inference(resolution,[status(thm)],[c_358823,c_365541]) ).
tff(c_365649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_356406,c_365558]) ).
tff(c_365650,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_316193]) ).
tff(c_365652,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_365650]) ).
tff(c_358970,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_5,e_5) ),
inference(resolution,[status(thm)],[c_358823,c_122]) ).
tff(c_366710,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_365652,c_358970]) ).
tff(c_366772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_366710]) ).
tff(c_366773,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_365650]) ).
tff(c_366854,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_366773]) ).
tff(c_367114,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_366854,c_310992]) ).
tff(c_367170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_367114]) ).
tff(c_367171,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_366773]) ).
tff(c_367173,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_367171]) ).
tff(c_358968,plain,
! [X_18] :
( product(X_18,e_4,e_5)
| ~ product(X_18,e_5,e_4) ),
inference(resolution,[status(thm)],[c_358823,c_124]) ).
tff(c_367217,plain,
product(e_5,e_4,e_5),
inference(resolution,[status(thm)],[c_367173,c_358968]) ).
tff(c_367290,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_367217,c_276969]) ).
tff(c_367380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_367290]) ).
tff(c_367381,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_367171]) ).
tff(c_368879,plain,
! [X_3456] :
( product(X_3456,e_5,e_3)
| ~ product(X_3456,e_5,e_5) ),
inference(resolution,[status(thm)],[c_367381,c_124]) ).
tff(c_368995,plain,
product(e_4,e_5,e_3),
inference(resolution,[status(thm)],[c_358823,c_368879]) ).
tff(c_368603,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_3) ),
inference(resolution,[status(thm)],[c_367381,c_122]) ).
tff(c_369064,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_368995,c_368603]) ).
tff(c_369130,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_369064]) ).
tff(c_369131,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_356405]) ).
tff(c_369182,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_369131]) ).
tff(c_372010,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_369182,c_310992]) ).
tff(c_372069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_372010]) ).
tff(c_372070,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_369131]) ).
tff(c_372072,plain,
product(e_4,e_5,e_4),
inference(splitLeft,[status(thm)],[c_372070]) ).
tff(c_372566,plain,
! [X_3465] :
( product(X_3465,e_4,e_4)
| ~ product(X_3465,e_5,e_4) ),
inference(resolution,[status(thm)],[c_372072,c_124]) ).
tff(c_372580,plain,
product(e_4,e_4,e_4),
inference(resolution,[status(thm)],[c_372072,c_372566]) ).
tff(c_372407,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_372072,c_120]) ).
tff(c_374733,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_372580,c_372407]) ).
tff(c_374803,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_374733]) ).
tff(c_374804,plain,
product(e_4,e_5,e_3),
inference(splitRight,[status(thm)],[c_372070]) ).
tff(c_374833,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_374804,c_102107]) ).
tff(c_374909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_374833]) ).
tff(c_374910,plain,
product(e_2,e_5,e_2),
inference(splitRight,[status(thm)],[c_316138]) ).
tff(c_374917,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_374910,c_310992]) ).
tff(c_374973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_374917]) ).
tff(c_374974,plain,
( product(e_6,e_5,e_3)
| product(e_6,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_310791]) ).
tff(c_374976,plain,
product(e_6,e_5,e_4),
inference(splitLeft,[status(thm)],[c_374974]) ).
tff(c_277729,plain,
( equalish(e_6,e_4)
| ~ product(e_6,e_4,e_6) ),
inference(resolution,[status(thm)],[c_277723,c_276968]) ).
tff(c_277801,plain,
~ product(e_6,e_4,e_6),
inference(negUnitSimplification,[status(thm)],[c_112,c_277729]) ).
tff(c_375008,plain,
( product(e_6,e_4,e_6)
| product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_374976,c_219]) ).
tff(c_375075,plain,
( product(e_6,e_4,e_6)
| product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_52,c_375008]) ).
tff(c_375076,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_277801,c_375075]) ).
tff(c_383561,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_375076]) ).
tff(c_386139,plain,
! [X_3498] :
( product(X_3498,e_4,e_1)
| ~ product(X_3498,e_5,e_4) ),
inference(resolution,[status(thm)],[c_383561,c_124]) ).
tff(c_386148,plain,
product(e_6,e_4,e_1),
inference(resolution,[status(thm)],[c_374976,c_386139]) ).
tff(c_386156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_275668,c_386148]) ).
tff(c_386157,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_375076]) ).
tff(c_386159,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_386157]) ).
tff(c_386158,plain,
~ product(e_4,e_5,e_1),
inference(splitRight,[status(thm)],[c_375076]) ).
tff(c_375081,plain,
! [X_18] :
( product(X_18,e_6,e_4)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_374976,c_124]) ).
tff(c_376881,plain,
! [X_3474] :
( product(X_3474,e_6,e_4)
| ~ product(X_3474,e_5,e_6) ),
inference(resolution,[status(thm)],[c_374976,c_124]) ).
tff(c_380560,plain,
! [X_3486,X_3487] :
( product(X_3486,X_3487,e_4)
| ~ product(X_3486,e_6,X_3487)
| ~ product(X_3487,e_5,e_6) ),
inference(resolution,[status(thm)],[c_376881,c_124]) ).
tff(c_380636,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_5,e_6)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_375081,c_380560]) ).
tff(c_380697,plain,
~ product(e_4,e_5,e_6),
inference(splitLeft,[status(thm)],[c_380636]) ).
tff(c_386223,plain,
( product(e_4,e_5,e_6)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_386159,c_219]) ).
tff(c_386313,plain,
( product(e_4,e_5,e_6)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_386223]) ).
tff(c_386314,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_380697,c_386313]) ).
tff(c_391877,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_386314]) ).
tff(c_394556,plain,
! [X_3521] :
( product(X_3521,e_5,e_1)
| ~ product(X_3521,e_5,e_5) ),
inference(resolution,[status(thm)],[c_391877,c_124]) ).
tff(c_394579,plain,
product(e_4,e_5,e_1),
inference(resolution,[status(thm)],[c_386159,c_394556]) ).
tff(c_394661,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_386158,c_394579]) ).
tff(c_394662,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_386314]) ).
tff(c_394664,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_394662]) ).
tff(c_386321,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_5,e_5) ),
inference(resolution,[status(thm)],[c_386159,c_122]) ).
tff(c_394667,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_394664,c_386321]) ).
tff(c_394729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_394667]) ).
tff(c_394730,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_394662]) ).
tff(c_394795,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_394730]) ).
tff(c_398017,plain,
! [X_3528] :
( product(X_3528,e_5,e_2)
| ~ product(X_3528,e_5,e_5) ),
inference(resolution,[status(thm)],[c_394795,c_124]) ).
tff(c_398127,plain,
product(e_4,e_5,e_2),
inference(resolution,[status(thm)],[c_386159,c_398017]) ).
tff(c_394923,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_394795,c_122]) ).
tff(c_398184,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_398127,c_394923]) ).
tff(c_398244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_398184]) ).
tff(c_398245,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_394730]) ).
tff(c_398247,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_398245]) ).
tff(c_375083,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_374976,c_122]) ).
tff(c_398255,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_398247,c_375083]) ).
tff(c_398302,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_398255]) ).
tff(c_398303,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_398245]) ).
tff(c_401574,plain,
! [X_3535] :
( product(X_3535,e_5,e_3)
| ~ product(X_3535,e_5,e_5) ),
inference(resolution,[status(thm)],[c_398303,c_124]) ).
tff(c_401684,plain,
product(e_4,e_5,e_3),
inference(resolution,[status(thm)],[c_386159,c_401574]) ).
tff(c_401326,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_3) ),
inference(resolution,[status(thm)],[c_398303,c_122]) ).
tff(c_401741,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_401684,c_401326]) ).
tff(c_401807,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_401741]) ).
tff(c_401808,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_386157]) ).
tff(c_401857,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_401808]) ).
tff(c_401884,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_401857,c_101919]) ).
tff(c_401954,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_401884]) ).
tff(c_401955,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_401808]) ).
tff(c_404069,plain,
product(e_4,e_5,e_4),
inference(splitLeft,[status(thm)],[c_401955]) ).
tff(c_404074,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_404069,c_375083]) ).
tff(c_404120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_404074]) ).
tff(c_404121,plain,
product(e_4,e_5,e_3),
inference(splitRight,[status(thm)],[c_401955]) ).
tff(c_404150,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_404121,c_102107]) ).
tff(c_404226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_404150]) ).
tff(c_404228,plain,
product(e_4,e_5,e_6),
inference(splitRight,[status(thm)],[c_380636]) ).
tff(c_256666,plain,
! [W_11,X_2979] :
( equalish(W_11,e_3)
| ~ product(X_2979,W_11,e_6)
| ~ product(X_2979,e_1,e_2) ),
inference(resolution,[status(thm)],[c_256529,c_120]) ).
tff(c_404268,plain,
( equalish(e_5,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c_404228,c_256666]) ).
tff(c_404368,plain,
equalish(e_5,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_101656,c_404268]) ).
tff(c_404370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_404368]) ).
tff(c_404371,plain,
product(e_6,e_5,e_3),
inference(splitRight,[status(thm)],[c_374974]) ).
tff(c_422,plain,
! [W_81,X_82,Y_83] :
( equalish(W_81,X_82)
| ~ product(W_81,Y_83,e_6)
| product(X_82,Y_83,e_5)
| product(X_82,Y_83,e_4)
| product(X_82,Y_83,e_3)
| product(X_82,Y_83,e_2)
| product(X_82,Y_83,e_1)
| ~ group_element(Y_83)
| ~ group_element(X_82) ),
inference(resolution,[status(thm)],[c_190,c_122]) ).
tff(c_425,plain,
! [X_4,X_82,Y_5] :
( equalish(X_4,X_82)
| product(X_82,Y_5,e_5)
| product(X_82,Y_5,e_4)
| product(X_82,Y_5,e_3)
| product(X_82,Y_5,e_2)
| product(X_82,Y_5,e_1)
| ~ group_element(X_82)
| product(X_4,Y_5,e_5)
| product(X_4,Y_5,e_4)
| product(X_4,Y_5,e_3)
| product(X_4,Y_5,e_2)
| product(X_4,Y_5,e_1)
| ~ group_element(Y_5)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_116,c_422]) ).
tff(c_107799,plain,
! [X_4] :
( equalish(X_4,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| ~ group_element(e_5)
| product(X_4,e_1,e_5)
| product(X_4,e_1,e_4)
| product(X_4,e_1,e_3)
| product(X_4,e_1,e_2)
| product(X_4,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_425,c_107784]) ).
tff(c_107825,plain,
! [X_4] :
( equalish(X_4,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| product(X_4,e_1,e_5)
| product(X_4,e_1,e_4)
| product(X_4,e_1,e_3)
| product(X_4,e_1,e_2)
| product(X_4,e_1,e_1)
| ~ group_element(X_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_52,c_107799]) ).
tff(c_107826,plain,
! [X_4] :
( equalish(X_4,e_5)
| product(e_5,e_1,e_4)
| product(X_4,e_1,e_5)
| product(X_4,e_1,e_4)
| product(X_4,e_1,e_3)
| product(X_4,e_1,e_2)
| product(X_4,e_1,e_1)
| ~ group_element(X_4) ),
inference(negUnitSimplification,[status(thm)],[c_106441,c_8737,c_9493,c_107825]) ).
tff(c_432600,plain,
! [X_3654] :
( equalish(X_3654,e_5)
| product(X_3654,e_1,e_5)
| product(X_3654,e_1,e_4)
| product(X_3654,e_1,e_3)
| product(X_3654,e_1,e_2)
| product(X_3654,e_1,e_1)
| ~ group_element(X_3654) ),
inference(negUnitSimplification,[status(thm)],[c_107994,c_107826]) ).
tff(c_432620,plain,
( equalish(e_1,e_4)
| equalish(e_6,e_5)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1)
| ~ group_element(e_6) ),
inference(resolution,[status(thm)],[c_432600,c_276968]) ).
tff(c_432870,plain,
( equalish(e_1,e_4)
| equalish(e_6,e_5)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_432620]) ).
tff(c_432871,plain,
product(e_6,e_1,e_1),
inference(negUnitSimplification,[status(thm)],[c_256654,c_257278,c_255900,c_114,c_60,c_432870]) ).
tff(c_404529,plain,
! [X_18] :
( product(X_18,e_6,e_3)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_404371,c_124]) ).
tff(c_406376,plain,
! [X_3544] :
( product(X_3544,e_6,e_3)
| ~ product(X_3544,e_5,e_6) ),
inference(resolution,[status(thm)],[c_404371,c_124]) ).
tff(c_409633,plain,
! [X_3557,X_3558] :
( product(X_3557,X_3558,e_3)
| ~ product(X_3557,e_6,X_3558)
| ~ product(X_3558,e_5,e_6) ),
inference(resolution,[status(thm)],[c_406376,c_124]) ).
tff(c_409709,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_5,e_6)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_404529,c_409633]) ).
tff(c_413058,plain,
~ product(e_3,e_5,e_6),
inference(splitLeft,[status(thm)],[c_409709]) ).
tff(c_413065,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_413058]) ).
tff(c_413072,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_52,c_413065]) ).
tff(c_426713,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_413072]) ).
tff(c_427222,plain,
! [X_3618] :
( product(X_3618,e_3,e_1)
| ~ product(X_3618,e_5,e_3) ),
inference(resolution,[status(thm)],[c_426713,c_124]) ).
tff(c_427226,plain,
product(e_6,e_3,e_1),
inference(resolution,[status(thm)],[c_404371,c_427222]) ).
tff(c_427572,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_6,W_11,e_1) ),
inference(resolution,[status(thm)],[c_427226,c_120]) ).
tff(c_433148,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_432871,c_427572]) ).
tff(c_433413,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_433148]) ).
tff(c_433414,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_413072]) ).
tff(c_433416,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_433414]) ).
tff(c_433995,plain,
! [X_3659] :
( product(X_3659,e_3,e_5)
| ~ product(X_3659,e_5,e_3) ),
inference(resolution,[status(thm)],[c_433416,c_124]) ).
tff(c_433999,plain,
product(e_6,e_3,e_5),
inference(resolution,[status(thm)],[c_404371,c_433995]) ).
tff(c_434013,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_433999,c_276968]) ).
tff(c_434143,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_434013]) ).
tff(c_434144,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_433414]) ).
tff(c_434197,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_434144]) ).
tff(c_277872,plain,
! [X_18,X_3214] :
( product(X_18,X_3214,e_5)
| ~ product(X_18,e_6,X_3214)
| ~ product(X_3214,e_4,e_6) ),
inference(resolution,[status(thm)],[c_277723,c_124]) ).
tff(c_406470,plain,
! [X_3544] :
( product(X_3544,e_3,e_5)
| ~ product(e_3,e_4,e_6)
| ~ product(X_3544,e_5,e_6) ),
inference(resolution,[status(thm)],[c_406376,c_277872]) ).
tff(c_413089,plain,
~ product(e_3,e_4,e_6),
inference(splitLeft,[status(thm)],[c_406470]) ).
tff(c_413104,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_413089]) ).
tff(c_413117,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_50,c_413104]) ).
tff(c_413118,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_101566,c_413117]) ).
tff(c_415955,plain,
product(e_3,e_4,e_1),
inference(splitLeft,[status(thm)],[c_413118]) ).
tff(c_102750,plain,
! [W_8,X_1845] :
( equalish(W_8,e_2)
| ~ product(X_1845,e_4,W_8)
| ~ product(X_1845,e_1,e_4) ),
inference(resolution,[status(thm)],[c_102690,c_118]) ).
tff(c_416063,plain,
( equalish(e_1,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_415955,c_102750]) ).
tff(c_416201,plain,
equalish(e_1,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_8910,c_416063]) ).
tff(c_416203,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_416201]) ).
tff(c_416204,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_413118]) ).
tff(c_416206,plain,
product(e_3,e_4,e_4),
inference(splitLeft,[status(thm)],[c_416204]) ).
tff(c_416256,plain,
( equalish(e_4,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_416206,c_102750]) ).
tff(c_416346,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_8910,c_416256]) ).
tff(c_416348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_416346]) ).
tff(c_416349,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_416204]) ).
tff(c_418461,plain,
product(e_3,e_4,e_2),
inference(splitLeft,[status(thm)],[c_416349]) ).
tff(c_418647,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_418461,c_120]) ).
tff(c_434228,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_434197,c_418647]) ).
tff(c_434282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_434228]) ).
tff(c_434283,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_434144]) ).
tff(c_434285,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_434283]) ).
tff(c_434314,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_434285,c_9058]) ).
tff(c_434382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_434314]) ).
tff(c_434383,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_434283]) ).
tff(c_404531,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_3) ),
inference(resolution,[status(thm)],[c_404371,c_122]) ).
tff(c_434394,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_434383,c_404531]) ).
tff(c_434456,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_434394]) ).
tff(c_434458,plain,
~ product(e_3,e_4,e_2),
inference(splitRight,[status(thm)],[c_416349]) ).
tff(c_434461,plain,
~ product(e_3,e_1,e_4),
inference(resolution,[status(thm)],[c_101917,c_434458]) ).
tff(c_434465,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8910,c_434461]) ).
tff(c_434467,plain,
product(e_3,e_5,e_6),
inference(splitRight,[status(thm)],[c_409709]) ).
tff(c_255917,plain,
! [W_11,X_2963] :
( equalish(W_11,e_2)
| ~ product(X_2963,W_11,e_6)
| ~ product(X_2963,e_1,e_4) ),
inference(resolution,[status(thm)],[c_255750,c_120]) ).
tff(c_434516,plain,
( equalish(e_5,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_434467,c_255917]) ).
tff(c_434618,plain,
equalish(e_5,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_8910,c_434516]) ).
tff(c_434620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_434618]) ).
tff(c_434622,plain,
~ product(e_2,e_6,e_5),
inference(splitRight,[status(thm)],[c_278816]) ).
tff(c_434913,plain,
~ product(e_2,e_4,e_6),
inference(resolution,[status(thm)],[c_276967,c_434622]) ).
tff(c_434942,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_255197,c_434913]) ).
tff(c_434944,plain,
product(e_5,e_4,e_6),
inference(splitRight,[status(thm)],[c_278653]) ).
tff(c_255268,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_6) ),
inference(resolution,[status(thm)],[c_255197,c_122]) ).
tff(c_435013,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_434944,c_255268]) ).
tff(c_435145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_435013]) ).
tff(c_435146,plain,
( product(e_6,e_4,e_4)
| product(e_6,e_4,e_3) ),
inference(splitRight,[status(thm)],[c_276777]) ).
tff(c_435212,plain,
product(e_6,e_4,e_3),
inference(splitLeft,[status(thm)],[c_435146]) ).
tff(c_435250,plain,
( product(e_6,e_3,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_435212,c_102747]) ).
tff(c_435346,plain,
product(e_6,e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_8910,c_435250]) ).
tff(c_435958,plain,
( product(e_6,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_435346,c_9280]) ).
tff(c_436113,plain,
product(e_6,e_2,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_435958]) ).
tff(c_436115,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_255935,c_436113]) ).
tff(c_436116,plain,
product(e_6,e_4,e_4),
inference(splitRight,[status(thm)],[c_435146]) ).
tff(c_436443,plain,
! [X_3670] :
( product(X_3670,e_6,e_4)
| ~ product(X_3670,e_4,e_6) ),
inference(resolution,[status(thm)],[c_436116,c_124]) ).
tff(c_436484,plain,
( equalish(e_6,e_3)
| ~ product(e_2,e_4,e_6) ),
inference(resolution,[status(thm)],[c_436443,c_7284]) ).
tff(c_436559,plain,
equalish(e_6,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_255197,c_436484]) ).
tff(c_436561,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_436559]) ).
tff(c_436562,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_255248]) ).
tff(c_436680,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_436562,c_6339]) ).
tff(c_436759,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_436680]) ).
tff(c_436760,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_254919]) ).
tff(c_436768,plain,
product(e_4,e_3,e_2),
inference(splitLeft,[status(thm)],[c_436760]) ).
tff(c_437070,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_436768,c_101919]) ).
tff(c_437136,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_437070]) ).
tff(c_437137,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_436760]) ).
tff(c_437143,plain,
product(e_4,e_3,e_5),
inference(splitLeft,[status(thm)],[c_437137]) ).
tff(c_437569,plain,
! [X_3682] :
( product(X_3682,e_4,e_5)
| ~ product(X_3682,e_3,e_4) ),
inference(resolution,[status(thm)],[c_437143,c_124]) ).
tff(c_438328,plain,
! [X_3695,X_3696] :
( product(X_3695,X_3696,e_5)
| ~ product(X_3695,e_4,X_3696)
| ~ product(X_3696,e_3,e_4) ),
inference(resolution,[status(thm)],[c_437569,c_124]) ).
tff(c_438334,plain,
! [X_18] :
( product(X_18,e_2,e_5)
| ~ product(e_2,e_3,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_101917,c_438328]) ).
tff(c_438403,plain,
! [X_3697] :
( product(X_3697,e_2,e_5)
| ~ product(X_3697,e_1,e_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_7257,c_438334]) ).
tff(c_438921,plain,
! [X_3709,X_3710] :
( product(X_3709,X_3710,e_5)
| ~ product(X_3709,e_2,X_3710)
| ~ product(X_3710,e_1,e_4) ),
inference(resolution,[status(thm)],[c_438403,c_124]) ).
tff(c_438939,plain,
! [X_18] :
( product(X_18,e_3,e_5)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_6338,c_438921]) ).
tff(c_439033,plain,
! [X_3711] :
( product(X_3711,e_3,e_5)
| ~ product(X_3711,e_1,e_2) ),
inference(demodulation,[status(thm),theory(equality)],[c_8910,c_438939]) ).
tff(c_439517,plain,
! [X_3724,X_3725] :
( product(X_3724,X_3725,e_5)
| ~ product(X_3724,e_3,X_3725)
| ~ product(X_3725,e_1,e_2) ),
inference(resolution,[status(thm)],[c_439033,c_124]) ).
tff(c_439531,plain,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c_7257,c_439517]) ).
tff(c_439577,plain,
product(e_2,e_4,e_5),
inference(demodulation,[status(thm),theory(equality)],[c_101656,c_439531]) ).
tff(c_439754,plain,
! [W_3727] :
( equalish(W_3727,e_4)
| ~ product(e_2,W_3727,e_5) ),
inference(resolution,[status(thm)],[c_439577,c_120]) ).
tff(c_439773,plain,
( equalish(e_6,e_4)
| equalish(e_2,e_6)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_4875,c_439754]) ).
tff(c_439819,plain,
( equalish(e_6,e_4)
| equalish(e_2,e_6)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_439773]) ).
tff(c_439820,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_74,c_112,c_439819]) ).
tff(c_444280,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_439820]) ).
tff(c_437247,plain,
! [W_3676] :
( equalish(W_3676,e_3)
| ~ product(e_4,W_3676,e_5) ),
inference(resolution,[status(thm)],[c_437143,c_120]) ).
tff(c_437258,plain,
( equalish(e_6,e_3)
| equalish(e_6,e_4)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_4828,c_437247]) ).
tff(c_437297,plain,
( equalish(e_6,e_3)
| equalish(e_6,e_4)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_437258]) ).
tff(c_437298,plain,
( product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_110,c_437297]) ).
tff(c_442984,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_437298]) ).
tff(c_443191,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_442984,c_122]) ).
tff(c_444283,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_444280,c_443191]) ).
tff(c_444375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_444283]) ).
tff(c_444376,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_439820]) ).
tff(c_444826,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_444376]) ).
tff(c_444858,plain,
( equalish(e_6,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_444826,c_9281]) ).
tff(c_444924,plain,
equalish(e_6,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_444858]) ).
tff(c_444926,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_444924]) ).
tff(c_444927,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_444376]) ).
tff(c_445049,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_444927]) ).
tff(c_445803,plain,
! [X_3816] :
( product(X_3816,e_2,e_2)
| ~ product(X_3816,e_6,e_2) ),
inference(resolution,[status(thm)],[c_445049,c_124]) ).
tff(c_445807,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_445049,c_445803]) ).
tff(c_445182,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_445049,c_120]) ).
tff(c_445814,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_445807,c_445182]) ).
tff(c_445911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_445814]) ).
tff(c_445912,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_444927]) ).
tff(c_445959,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_445912,c_6339]) ).
tff(c_446052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_445959]) ).
tff(c_446053,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_437298]) ).
tff(c_446147,plain,
product(e_4,e_6,e_4),
inference(splitLeft,[status(thm)],[c_446053]) ).
tff(c_446379,plain,
! [X_3824] :
( product(X_3824,e_4,e_4)
| ~ product(X_3824,e_6,e_4) ),
inference(resolution,[status(thm)],[c_446147,c_124]) ).
tff(c_446383,plain,
product(e_4,e_4,e_4),
inference(resolution,[status(thm)],[c_446147,c_446379]) ).
tff(c_446246,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_446147,c_120]) ).
tff(c_446386,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_446383,c_446246]) ).
tff(c_446442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_446386]) ).
tff(c_446443,plain,
( product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_446053]) ).
tff(c_446445,plain,
product(e_4,e_6,e_2),
inference(splitLeft,[status(thm)],[c_446443]) ).
tff(c_446902,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_446445,c_101919]) ).
tff(c_446972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_446902]) ).
tff(c_446973,plain,
product(e_4,e_6,e_3),
inference(splitRight,[status(thm)],[c_446443]) ).
tff(c_447000,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_446973,c_102107]) ).
tff(c_447076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_447000]) ).
tff(c_447077,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3) ),
inference(splitRight,[status(thm)],[c_437137]) ).
tff(c_447398,plain,
product(e_4,e_3,e_3),
inference(splitLeft,[status(thm)],[c_447077]) ).
tff(c_447420,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_447398,c_102107]) ).
tff(c_447489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_447420]) ).
tff(c_447490,plain,
product(e_4,e_3,e_4),
inference(splitRight,[status(thm)],[c_447077]) ).
tff(c_447528,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_447490,c_7285]) ).
tff(c_447585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_447528]) ).
tff(c_447586,plain,
product(e_4,e_1,e_4),
inference(splitRight,[status(thm)],[c_101565]) ).
tff(c_447655,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_447586,c_9059]) ).
tff(c_447753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_447655]) ).
tff(c_447755,plain,
product(e_5,e_1,e_3),
inference(splitRight,[status(thm)],[c_9461]) ).
tff(c_447758,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_447755,c_9404]) ).
tff(c_447834,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_447758]) ).
tff(c_447835,plain,
product(e_2,e_4,e_4),
inference(splitRight,[status(thm)],[c_9453]) ).
tff(c_447846,plain,
( equalish(e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_447835,c_9281]) ).
tff(c_447866,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_6219,c_447846]) ).
tff(c_447868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_447866]) ).
tff(c_447869,plain,
product(e_3,e_1,e_5),
inference(splitRight,[status(thm)],[c_8902]) ).
tff(c_2642,plain,
! [W_8,X_174] :
( equalish(W_8,e_4)
| ~ product(X_174,e_1,W_8)
| ~ next(X_174,e_4)
| product(X_174,e_1,e_3)
| product(X_174,e_1,e_2)
| product(X_174,e_1,e_1)
| ~ group_element(X_174) ),
inference(resolution,[status(thm)],[c_2572,c_118]) ).
tff(c_447896,plain,
( equalish(e_5,e_4)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_447869,c_2642]) ).
tff(c_447983,plain,
( equalish(e_5,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_447896]) ).
tff(c_447985,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7171,c_6795,c_8870,c_102,c_447983]) ).
tff(c_447987,plain,
product(e_5,e_1,e_2),
inference(splitRight,[status(thm)],[c_6769]) ).
tff(c_448044,plain,
( product(e_5,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_447987,c_311]) ).
tff(c_448146,plain,
( product(e_5,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_448044]) ).
tff(c_448147,plain,
product(e_5,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_448146]) ).
tff(c_448267,plain,
! [X_18] :
( product(X_18,e_5,e_3)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_448147,c_124]) ).
tff(c_448639,plain,
! [X_3838] :
( product(X_3838,e_5,e_2)
| ~ product(X_3838,e_1,e_5) ),
inference(resolution,[status(thm)],[c_447987,c_124]) ).
tff(c_449649,plain,
! [X_3858,X_3859] :
( product(X_3858,X_3859,e_2)
| ~ product(X_3858,e_5,X_3859)
| ~ product(X_3859,e_1,e_5) ),
inference(resolution,[status(thm)],[c_448639,c_124]) ).
tff(c_449685,plain,
! [X_18] :
( product(X_18,e_3,e_2)
| ~ product(e_3,e_1,e_5)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_448267,c_449649]) ).
tff(c_449840,plain,
~ product(e_3,e_1,e_5),
inference(splitLeft,[status(thm)],[c_449685]) ).
tff(c_447986,plain,
( product(e_6,e_2,e_1)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| product(e_6,e_5,e_3) ),
inference(splitRight,[status(thm)],[c_6769]) ).
tff(c_455256,plain,
product(e_6,e_5,e_3),
inference(splitLeft,[status(thm)],[c_447986]) ).
tff(c_456002,plain,
! [X_3990] :
( product(X_3990,e_6,e_3)
| ~ product(X_3990,e_5,e_6) ),
inference(resolution,[status(thm)],[c_455256,c_124]) ).
tff(c_448930,plain,
! [W_3841,X_3842] :
( equalish(W_3841,e_2)
| ~ product(X_3842,e_5,W_3841)
| ~ product(X_3842,e_1,e_5) ),
inference(resolution,[status(thm)],[c_448639,c_118]) ).
tff(c_448933,plain,
! [X_18] :
( equalish(e_3,e_2)
| ~ product(X_18,e_1,e_5)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_448267,c_448930]) ).
tff(c_449024,plain,
! [X_3843] :
( ~ product(X_3843,e_1,e_5)
| ~ product(X_3843,e_2,e_5) ),
inference(negUnitSimplification,[status(thm)],[c_78,c_448933]) ).
tff(c_449032,plain,
( ~ product(e_6,e_1,e_5)
| equalish(e_6,e_2)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_4834,c_449024]) ).
tff(c_449069,plain,
( ~ product(e_6,e_1,e_5)
| equalish(e_6,e_2)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_449032]) ).
tff(c_449070,plain,
( ~ product(e_6,e_1,e_5)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_449069]) ).
tff(c_454029,plain,
~ product(e_6,e_1,e_5),
inference(splitLeft,[status(thm)],[c_449070]) ).
tff(c_454032,plain,
( equalish(e_1,e_6)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_4858,c_454029]) ).
tff(c_454063,plain,
( equalish(e_1,e_6)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_454032]) ).
tff(c_454064,plain,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_454063]) ).
tff(c_454093,plain,
product(e_6,e_1,e_1),
inference(splitLeft,[status(thm)],[c_454064]) ).
tff(c_454206,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_454093,c_2268]) ).
tff(c_454379,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_454206]) ).
tff(c_454380,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_454064]) ).
tff(c_454448,plain,
product(e_6,e_1,e_4),
inference(splitLeft,[status(thm)],[c_454380]) ).
tff(c_454928,plain,
! [X_3961] :
( product(X_3961,e_6,e_4)
| ~ product(X_3961,e_1,e_6) ),
inference(resolution,[status(thm)],[c_454448,c_124]) ).
tff(c_454973,plain,
! [X_18,X_3961] :
( product(X_18,X_3961,e_4)
| ~ product(X_18,e_6,X_3961)
| ~ product(X_3961,e_1,e_6) ),
inference(resolution,[status(thm)],[c_454928,c_124]) ).
tff(c_456051,plain,
! [X_3990] :
( product(X_3990,e_3,e_4)
| ~ product(e_3,e_1,e_6)
| ~ product(X_3990,e_5,e_6) ),
inference(resolution,[status(thm)],[c_456002,c_454973]) ).
tff(c_456904,plain,
~ product(e_3,e_1,e_6),
inference(splitLeft,[status(thm)],[c_456051]) ).
tff(c_456907,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_456904]) ).
tff(c_456910,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_44,c_456907]) ).
tff(c_456911,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_7171,c_6795,c_449840,c_456910]) ).
tff(c_456912,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_456911]) ).
tff(c_456967,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_456912,c_6341]) ).
tff(c_457110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_456967]) ).
tff(c_457111,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_456911]) ).
tff(c_454680,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_454448,c_122]) ).
tff(c_457124,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_457111,c_454680]) ).
tff(c_457226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_457124]) ).
tff(c_457228,plain,
product(e_3,e_1,e_6),
inference(splitRight,[status(thm)],[c_456051]) ).
tff(c_457320,plain,
~ next(e_3,e_4),
inference(resolution,[status(thm)],[c_457228,c_160]) ).
tff(c_457476,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_457320]) ).
tff(c_457477,plain,
( product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_454380]) ).
tff(c_457486,plain,
product(e_6,e_1,e_2),
inference(splitLeft,[status(thm)],[c_457477]) ).
tff(c_6605,plain,
! [W_14,X_291] :
( equalish(W_14,X_291)
| ~ product(W_14,e_2,e_3)
| ~ product(X_291,e_1,e_2) ),
inference(resolution,[status(thm)],[c_6555,c_122]) ).
tff(c_448241,plain,
! [X_291] :
( equalish(e_5,X_291)
| ~ product(X_291,e_1,e_2) ),
inference(resolution,[status(thm)],[c_448147,c_6605]) ).
tff(c_457523,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_457486,c_448241]) ).
tff(c_457656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_457523]) ).
tff(c_457657,plain,
product(e_6,e_1,e_3),
inference(splitRight,[status(thm)],[c_457477]) ).
tff(c_457732,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_457657,c_6341]) ).
tff(c_457874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_457732]) ).
tff(c_457875,plain,
( product(e_6,e_2,e_1)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_449070]) ).
tff(c_458833,plain,
product(e_6,e_2,e_4),
inference(splitLeft,[status(thm)],[c_457875]) ).
tff(c_458886,plain,
( product(e_6,e_4,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c_458833,c_6603]) ).
tff(c_459143,plain,
~ product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_458886]) ).
tff(c_459070,plain,
! [X_4033] :
( product(X_4033,e_6,e_4)
| ~ product(X_4033,e_2,e_6) ),
inference(resolution,[status(thm)],[c_458833,c_124]) ).
tff(c_457876,plain,
product(e_6,e_1,e_5),
inference(splitRight,[status(thm)],[c_449070]) ).
tff(c_458483,plain,
! [X_4021] :
( product(X_4021,e_6,e_5)
| ~ product(X_4021,e_1,e_6) ),
inference(resolution,[status(thm)],[c_457876,c_124]) ).
tff(c_458521,plain,
! [X_18,X_4021] :
( product(X_18,X_4021,e_5)
| ~ product(X_18,e_6,X_4021)
| ~ product(X_4021,e_1,e_6) ),
inference(resolution,[status(thm)],[c_458483,c_124]) ).
tff(c_459105,plain,
! [X_4033] :
( product(X_4033,e_4,e_5)
| ~ product(e_4,e_1,e_6)
| ~ product(X_4033,e_2,e_6) ),
inference(resolution,[status(thm)],[c_459070,c_458521]) ).
tff(c_459398,plain,
~ product(e_4,e_1,e_6),
inference(splitLeft,[status(thm)],[c_459105]) ).
tff(c_459403,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_459398]) ).
tff(c_459406,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_44,c_459403]) ).
tff(c_459407,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_459143,c_459406]) ).
tff(c_459745,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_459407]) ).
tff(c_459858,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_459745,c_2268]) ).
tff(c_460030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_459858]) ).
tff(c_460031,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(splitRight,[status(thm)],[c_459407]) ).
tff(c_460107,plain,
product(e_4,e_1,e_5),
inference(splitLeft,[status(thm)],[c_460031]) ).
tff(c_458109,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_5) ),
inference(resolution,[status(thm)],[c_457876,c_122]) ).
tff(c_460112,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_460107,c_458109]) ).
tff(c_460217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_460112]) ).
tff(c_460218,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_460031]) ).
tff(c_460270,plain,
product(e_4,e_1,e_3),
inference(splitLeft,[status(thm)],[c_460218]) ).
tff(c_460325,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_460270,c_6341]) ).
tff(c_460467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_460325]) ).
tff(c_460468,plain,
product(e_4,e_1,e_4),
inference(splitRight,[status(thm)],[c_460218]) ).
tff(c_460947,plain,
! [X_4051] :
( product(X_4051,e_4,e_4)
| ~ product(X_4051,e_1,e_4) ),
inference(resolution,[status(thm)],[c_460468,c_124]) ).
tff(c_460716,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_460468,c_120]) ).
tff(c_460951,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_460947,c_460716]) ).
tff(c_460978,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_460468,c_460951]) ).
tff(c_460980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_460978]) ).
tff(c_460982,plain,
product(e_4,e_1,e_6),
inference(splitRight,[status(thm)],[c_459105]) ).
tff(c_461082,plain,
~ next(e_4,e_5),
inference(resolution,[status(thm)],[c_460982,c_159]) ).
tff(c_461232,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_461082]) ).
tff(c_461234,plain,
product(e_4,e_1,e_2),
inference(splitRight,[status(thm)],[c_458886]) ).
tff(c_461271,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_461234,c_448241]) ).
tff(c_461405,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_461271]) ).
tff(c_461407,plain,
product(e_3,e_1,e_5),
inference(splitRight,[status(thm)],[c_449685]) ).
tff(c_461527,plain,
~ next(e_3,e_4),
inference(resolution,[status(thm)],[c_461407,c_163]) ).
tff(c_461629,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_461527]) ).
tff(c_461630,plain,
product(e_3,e_1,e_3),
inference(splitRight,[status(thm)],[c_7170]) ).
tff(c_461638,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_461630,c_6341]) ).
tff(c_461701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_461638]) ).
tff(c_461703,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_6761]) ).
tff(c_461736,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_461703,c_311]) ).
tff(c_461805,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_461736]) ).
tff(c_461806,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_461805]) ).
tff(c_461821,plain,
( product(e_3,e_3,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c_461806,c_6603]) ).
tff(c_461854,plain,
product(e_3,e_3,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_461703,c_461821]) ).
tff(c_461888,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c_461854,c_6604]) ).
tff(c_461907,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_461703,c_461888]) ).
tff(c_461909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_461907]) ).
tff(c_461911,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_1770]) ).
tff(c_461965,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_461911]) ).
tff(c_461968,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_461965]) ).
tff(c_461970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_461968]) ).
tff(c_461971,plain,
! [Y_5] :
( product(e_6,Y_5,e_4)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(Y_5)
| product(e_6,Y_5,e_5) ),
inference(splitRight,[status(thm)],[c_2393]) ).
tff(c_1328,plain,
! [X_119] :
( ~ next(X_119,e_4)
| product(X_119,e_1,e_4)
| product(X_119,e_1,e_3)
| product(X_119,e_1,e_2)
| product(X_119,e_1,e_1)
| ~ group_element(X_119) ),
inference(resolution,[status(thm)],[c_1277,c_163]) ).
tff(c_461972,plain,
~ product(e_6,e_6,e_6),
inference(splitRight,[status(thm)],[c_2393]) ).
tff(c_461978,plain,
( product(e_6,e_6,e_5)
| product(e_6,e_6,e_4)
| product(e_6,e_6,e_3)
| product(e_6,e_6,e_2)
| product(e_6,e_6,e_1)
| ~ group_element(e_6) ),
inference(resolution,[status(thm)],[c_116,c_461972]) ).
tff(c_461984,plain,
( product(e_6,e_6,e_5)
| product(e_6,e_6,e_4)
| product(e_6,e_6,e_3)
| product(e_6,e_6,e_2)
| product(e_6,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_461978]) ).
tff(c_461985,plain,
product(e_6,e_6,e_1),
inference(splitLeft,[status(thm)],[c_461984]) ).
tff(c_82,plain,
~ equalish(e_3,e_5),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_236,plain,
! [X_56] :
( ~ next(X_56,e_5)
| product(X_56,e_1,e_5)
| product(X_56,e_1,e_4)
| product(X_56,e_1,e_3)
| product(X_56,e_1,e_2)
| product(X_56,e_1,e_1)
| ~ group_element(X_56) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_216]) ).
tff(c_461992,plain,
( product(e_6,e_1,e_6)
| product(e_1,e_6,e_5)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_461985,c_219]) ).
tff(c_462013,plain,
( product(e_6,e_1,e_6)
| product(e_1,e_6,e_5)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_54,c_461992]) ).
tff(c_462458,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_462013]) ).
tff(c_462020,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_461985,c_122]) ).
tff(c_462461,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_462458,c_462020]) ).
tff(c_462485,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_462461]) ).
tff(c_462486,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_5)
| product(e_6,e_1,e_6) ),
inference(splitRight,[status(thm)],[c_462013]) ).
tff(c_462628,plain,
product(e_6,e_1,e_6),
inference(splitLeft,[status(thm)],[c_462486]) ).
tff(c_462892,plain,
! [X_4072] :
( product(X_4072,e_6,e_6)
| ~ product(X_4072,e_1,e_6) ),
inference(resolution,[status(thm)],[c_462628,c_124]) ).
tff(c_462727,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_6,W_11,e_6) ),
inference(resolution,[status(thm)],[c_462628,c_120]) ).
tff(c_462896,plain,
( equalish(e_6,e_1)
| ~ product(e_6,e_1,e_6) ),
inference(resolution,[status(thm)],[c_462892,c_462727]) ).
tff(c_462925,plain,
equalish(e_6,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_462628,c_462896]) ).
tff(c_462927,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_462925]) ).
tff(c_462928,plain,
( product(e_1,e_6,e_5)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_462486]) ).
tff(c_462936,plain,
product(e_1,e_6,e_2),
inference(splitLeft,[status(thm)],[c_462928]) ).
tff(c_463056,plain,
! [X_4076] :
( product(X_4076,e_1,e_2)
| ~ product(X_4076,e_6,e_1) ),
inference(resolution,[status(thm)],[c_462936,c_124]) ).
tff(c_463060,plain,
product(e_6,e_1,e_2),
inference(resolution,[status(thm)],[c_461985,c_463056]) ).
tff(c_463083,plain,
( product(e_6,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_463060,c_311]) ).
tff(c_463134,plain,
( product(e_6,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_463083]) ).
tff(c_463135,plain,
product(e_6,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_463134]) ).
tff(c_463461,plain,
! [X_4083] :
( product(X_4083,e_6,e_2)
| ~ product(X_4083,e_1,e_6) ),
inference(resolution,[status(thm)],[c_463060,c_124]) ).
tff(c_463967,plain,
! [X_4102,X_4103] :
( product(X_4102,X_4103,e_2)
| ~ product(X_4102,e_6,X_4103)
| ~ product(X_4103,e_1,e_6) ),
inference(resolution,[status(thm)],[c_463461,c_124]) ).
tff(c_464004,plain,
( product(e_1,e_2,e_2)
| ~ product(e_2,e_1,e_6) ),
inference(resolution,[status(thm)],[c_462936,c_463967]) ).
tff(c_464032,plain,
~ product(e_2,e_1,e_6),
inference(splitLeft,[status(thm)],[c_464004]) ).
tff(c_464035,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_464032]) ).
tff(c_464038,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_464035]) ).
tff(c_464039,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_464038]) ).
tff(c_464257,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_464039]) ).
tff(c_464585,plain,
! [X_4114] :
( product(X_4114,e_2,e_3)
| ~ product(X_4114,e_1,e_2) ),
inference(resolution,[status(thm)],[c_464257,c_124]) ).
tff(c_464797,plain,
! [X_4123,X_4124] :
( product(X_4123,X_4124,e_3)
| ~ product(X_4123,e_2,X_4124)
| ~ product(X_4124,e_1,e_2) ),
inference(resolution,[status(thm)],[c_464585,c_124]) ).
tff(c_464829,plain,
( product(e_6,e_3,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c_463135,c_464797]) ).
tff(c_464861,plain,
~ product(e_3,e_1,e_2),
inference(splitLeft,[status(thm)],[c_464829]) ).
tff(c_462264,plain,
! [X_4059] :
( product(X_4059,e_6,e_1)
| ~ product(X_4059,e_6,e_6) ),
inference(resolution,[status(thm)],[c_461985,c_124]) ).
tff(c_462268,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_116,c_462264]) ).
tff(c_462271,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(X_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_462268]) ).
tff(c_463193,plain,
! [X_18] :
( product(X_18,e_6,e_3)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_463135,c_124]) ).
tff(c_464002,plain,
! [X_18] :
( product(X_18,e_3,e_2)
| ~ product(e_3,e_1,e_6)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_463193,c_463967]) ).
tff(c_464250,plain,
~ product(e_3,e_1,e_6),
inference(splitLeft,[status(thm)],[c_464002]) ).
tff(c_464253,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_464250]) ).
tff(c_464256,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_44,c_464253]) ).
tff(c_469719,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_464861,c_464256]) ).
tff(c_469720,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_469719]) ).
tff(c_469811,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_469720,c_2268]) ).
tff(c_469953,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_469811]) ).
tff(c_469954,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5) ),
inference(splitRight,[status(thm)],[c_469719]) ).
tff(c_470022,plain,
product(e_3,e_1,e_5),
inference(splitLeft,[status(thm)],[c_469954]) ).
tff(c_470092,plain,
~ next(e_3,e_4),
inference(resolution,[status(thm)],[c_470022,c_163]) ).
tff(c_470220,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_470092]) ).
tff(c_470221,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_469954]) ).
tff(c_470443,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_470221]) ).
tff(c_464402,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_464257,c_122]) ).
tff(c_470492,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_470443,c_464402]) ).
tff(c_470619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_470492]) ).
tff(c_470620,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_470221]) ).
tff(c_470825,plain,
! [X_18] :
( product(X_18,e_3,e_4)
| ~ product(X_18,e_1,e_3) ),
inference(resolution,[status(thm)],[c_470620,c_124]) ).
tff(c_471049,plain,
! [X_4275] :
( product(X_4275,e_3,e_4)
| ~ product(X_4275,e_1,e_3) ),
inference(resolution,[status(thm)],[c_470620,c_124]) ).
tff(c_471174,plain,
! [X_4282,X_4283] :
( product(X_4282,X_4283,e_4)
| ~ product(X_4282,e_3,X_4283)
| ~ product(X_4283,e_1,e_3) ),
inference(resolution,[status(thm)],[c_471049,c_124]) ).
tff(c_471201,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_1,e_3)
| ~ product(X_18,e_1,e_3) ),
inference(resolution,[status(thm)],[c_470825,c_471174]) ).
tff(c_471313,plain,
~ product(e_4,e_1,e_3),
inference(splitLeft,[status(thm)],[c_471201]) ).
tff(c_471412,plain,
! [X_4286,X_4287] :
( product(X_4286,X_4287,e_5)
| ~ product(X_4286,e_1,X_4287)
| ~ next(X_4287,e_5)
| product(X_4287,e_1,e_4)
| product(X_4287,e_1,e_3)
| product(X_4287,e_1,e_2)
| product(X_4287,e_1,e_1)
| ~ group_element(X_4287) ),
inference(resolution,[status(thm)],[c_1888,c_124]) ).
tff(c_471414,plain,
( product(e_3,e_4,e_5)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_470620,c_471412]) ).
tff(c_471479,plain,
( product(e_3,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_471414]) ).
tff(c_471480,plain,
( product(e_3,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_471313,c_471479]) ).
tff(c_471896,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_471480]) ).
tff(c_471991,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_471896,c_2268]) ).
tff(c_472141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_471991]) ).
tff(c_472142,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_471480]) ).
tff(c_472303,plain,
product(e_3,e_4,e_5),
inference(splitLeft,[status(thm)],[c_472142]) ).
tff(c_472333,plain,
! [W_4294] :
( equalish(W_4294,e_4)
| ~ product(e_3,W_4294,e_5) ),
inference(resolution,[status(thm)],[c_472303,c_120]) ).
tff(c_472348,plain,
( equalish(e_6,e_4)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_462271,c_472333]) ).
tff(c_472379,plain,
( equalish(e_6,e_4)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_472348]) ).
tff(c_472380,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_472379]) ).
tff(c_474417,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_472380]) ).
tff(c_462962,plain,
! [X_18] :
( product(X_18,e_1,e_2)
| ~ product(X_18,e_6,e_1) ),
inference(resolution,[status(thm)],[c_462936,c_124]) ).
tff(c_474453,plain,
product(e_3,e_1,e_2),
inference(resolution,[status(thm)],[c_474417,c_462962]) ).
tff(c_474514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_464861,c_474453]) ).
tff(c_474515,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_472380]) ).
tff(c_474517,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_474515]) ).
tff(c_470827,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_4) ),
inference(resolution,[status(thm)],[c_470620,c_120]) ).
tff(c_474531,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_474517,c_470827]) ).
tff(c_474567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_474531]) ).
tff(c_474568,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_474515]) ).
tff(c_474576,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_474568]) ).
tff(c_462964,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_6,e_2) ),
inference(resolution,[status(thm)],[c_462936,c_122]) ).
tff(c_474602,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_474576,c_462964]) ).
tff(c_474640,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_474602]) ).
tff(c_474641,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_474568]) ).
tff(c_474903,plain,
! [X_4327] :
( product(X_4327,e_3,e_3)
| ~ product(X_4327,e_6,e_3) ),
inference(resolution,[status(thm)],[c_474641,c_124]) ).
tff(c_474910,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_474641,c_474903]) ).
tff(c_474735,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_474641,c_120]) ).
tff(c_474914,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_474910,c_474735]) ).
tff(c_474947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_474914]) ).
tff(c_474948,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_472142]) ).
tff(c_475130,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_474948]) ).
tff(c_464695,plain,
! [W_4118,X_4119] :
( equalish(W_4118,X_4119)
| ~ product(W_4118,e_2,e_3)
| ~ product(X_4119,e_1,e_2) ),
inference(resolution,[status(thm)],[c_464585,c_122]) ).
tff(c_464703,plain,
! [X_4119] :
( equalish(e_6,X_4119)
| ~ product(X_4119,e_1,e_2) ),
inference(resolution,[status(thm)],[c_463135,c_464695]) ).
tff(c_475191,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_475130,c_464703]) ).
tff(c_475327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_475191]) ).
tff(c_475328,plain,
product(e_4,e_1,e_4),
inference(splitRight,[status(thm)],[c_474948]) ).
tff(c_470828,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_470620,c_122]) ).
tff(c_475359,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_475328,c_470828]) ).
tff(c_475457,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_475359]) ).
tff(c_475459,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_471201]) ).
tff(c_475665,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_475459,c_464402]) ).
tff(c_475797,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_475665]) ).
tff(c_475798,plain,
product(e_6,e_3,e_3),
inference(splitRight,[status(thm)],[c_464829]) ).
tff(c_464657,plain,
! [W_11,X_4114] :
( equalish(W_11,e_2)
| ~ product(X_4114,W_11,e_3)
| ~ product(X_4114,e_1,e_2) ),
inference(resolution,[status(thm)],[c_464585,c_120]) ).
tff(c_475801,plain,
( equalish(e_3,e_2)
| ~ product(e_6,e_1,e_2) ),
inference(resolution,[status(thm)],[c_475798,c_464657]) ).
tff(c_475825,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_463060,c_475801]) ).
tff(c_475827,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_475825]) ).
tff(c_475829,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_464039]) ).
tff(c_475832,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_475829]) ).
tff(c_475835,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_475832]) ).
tff(c_475837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_475835]) ).
tff(c_475839,plain,
product(e_3,e_1,e_6),
inference(splitRight,[status(thm)],[c_464002]) ).
tff(c_463592,plain,
! [W_4086,X_4087] :
( equalish(W_4086,X_4087)
| ~ product(W_4086,e_6,e_2)
| ~ product(X_4087,e_1,e_6) ),
inference(resolution,[status(thm)],[c_463461,c_122]) ).
tff(c_463598,plain,
! [X_4087] :
( equalish(e_1,X_4087)
| ~ product(X_4087,e_1,e_6) ),
inference(resolution,[status(thm)],[c_462936,c_463592]) ).
tff(c_475842,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_475839,c_463598]) ).
tff(c_475899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_475842]) ).
tff(c_475900,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_5) ),
inference(splitRight,[status(thm)],[c_462928]) ).
tff(c_475902,plain,
product(e_1,e_6,e_5),
inference(splitLeft,[status(thm)],[c_475900]) ).
tff(c_476119,plain,
! [X_4336] :
( product(X_4336,e_1,e_5)
| ~ product(X_4336,e_6,e_1) ),
inference(resolution,[status(thm)],[c_475902,c_124]) ).
tff(c_476123,plain,
product(e_6,e_1,e_5),
inference(resolution,[status(thm)],[c_461985,c_476119]) ).
tff(c_476466,plain,
! [X_4340] :
( product(X_4340,e_6,e_5)
| ~ product(X_4340,e_1,e_6) ),
inference(resolution,[status(thm)],[c_476123,c_124]) ).
tff(c_476708,plain,
! [X_4349,X_4350] :
( product(X_4349,X_4350,e_5)
| ~ product(X_4349,e_6,X_4350)
| ~ product(X_4350,e_1,e_6) ),
inference(resolution,[status(thm)],[c_476466,c_124]) ).
tff(c_476742,plain,
( product(e_1,e_5,e_5)
| ~ product(e_5,e_1,e_6) ),
inference(resolution,[status(thm)],[c_475902,c_476708]) ).
tff(c_476818,plain,
~ product(e_5,e_1,e_6),
inference(splitLeft,[status(thm)],[c_476742]) ).
tff(c_476821,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_476818]) ).
tff(c_476824,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_44,c_476821]) ).
tff(c_476855,plain,
product(e_5,e_1,e_1),
inference(splitLeft,[status(thm)],[c_476824]) ).
tff(c_476880,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_476855,c_2268]) ).
tff(c_476931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_476880]) ).
tff(c_476932,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(splitRight,[status(thm)],[c_476824]) ).
tff(c_476958,plain,
product(e_5,e_1,e_5),
inference(splitLeft,[status(thm)],[c_476932]) ).
tff(c_476210,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_5) ),
inference(resolution,[status(thm)],[c_476123,c_122]) ).
tff(c_476965,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_476958,c_476210]) ).
tff(c_477018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_476965]) ).
tff(c_477019,plain,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_476932]) ).
tff(c_477170,plain,
product(e_5,e_1,e_2),
inference(splitLeft,[status(thm)],[c_477019]) ).
tff(c_477195,plain,
( product(e_5,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_477170,c_311]) ).
tff(c_477252,plain,
( product(e_5,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_477195]) ).
tff(c_477253,plain,
product(e_5,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_477252]) ).
tff(c_477313,plain,
! [X_18] :
( product(X_18,e_5,e_3)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_477253,c_124]) ).
tff(c_477569,plain,
! [X_4365] :
( product(X_4365,e_5,e_2)
| ~ product(X_4365,e_1,e_5) ),
inference(resolution,[status(thm)],[c_477170,c_124]) ).
tff(c_477697,plain,
! [W_4371,X_4372] :
( equalish(W_4371,e_2)
| ~ product(X_4372,e_5,W_4371)
| ~ product(X_4372,e_1,e_5) ),
inference(resolution,[status(thm)],[c_477569,c_118]) ).
tff(c_477700,plain,
! [X_18] :
( equalish(e_3,e_2)
| ~ product(X_18,e_1,e_5)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_477313,c_477697]) ).
tff(c_477773,plain,
! [X_4373] :
( ~ product(X_4373,e_1,e_5)
| ~ product(X_4373,e_2,e_5) ),
inference(negUnitSimplification,[status(thm)],[c_78,c_477700]) ).
tff(c_477785,plain,
( ~ product(e_6,e_1,e_5)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_461971,c_477773]) ).
tff(c_477810,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_476123,c_477785]) ).
tff(c_482333,plain,
product(e_6,e_2,e_1),
inference(splitLeft,[status(thm)],[c_477810]) ).
tff(c_462019,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_6,W_11,e_1) ),
inference(resolution,[status(thm)],[c_461985,c_120]) ).
tff(c_482349,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_482333,c_462019]) ).
tff(c_482391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_482349]) ).
tff(c_482392,plain,
( product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_477810]) ).
tff(c_482394,plain,
product(e_6,e_2,e_4),
inference(splitLeft,[status(thm)],[c_482392]) ).
tff(c_477262,plain,
! [X_18] :
( product(X_18,e_5,e_2)
| ~ product(X_18,e_1,e_5) ),
inference(resolution,[status(thm)],[c_477170,c_124]) ).
tff(c_478074,plain,
! [X_4382,X_4383] :
( product(X_4382,X_4383,e_2)
| ~ product(X_4382,e_5,X_4383)
| ~ product(X_4383,e_1,e_5) ),
inference(resolution,[status(thm)],[c_477569,c_124]) ).
tff(c_478104,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_1,e_5)
| ~ product(X_18,e_1,e_5) ),
inference(resolution,[status(thm)],[c_477262,c_478074]) ).
tff(c_478337,plain,
~ product(e_2,e_1,e_5),
inference(splitLeft,[status(thm)],[c_478104]) ).
tff(c_477193,plain,
( product(e_5,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_477170,c_219]) ).
tff(c_477248,plain,
( product(e_5,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_477193]) ).
tff(c_477249,plain,
( product(e_5,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_477248]) ).
tff(c_478978,plain,
( product(e_5,e_2,e_6)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_478337,c_477249]) ).
tff(c_478979,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_478978]) ).
tff(c_479282,plain,
! [X_4406] :
( product(X_4406,e_2,e_3)
| ~ product(X_4406,e_1,e_2) ),
inference(resolution,[status(thm)],[c_478979,c_124]) ).
tff(c_479354,plain,
! [X_18,X_4406] :
( product(X_18,X_4406,e_3)
| ~ product(X_18,e_2,X_4406)
| ~ product(X_4406,e_1,e_2) ),
inference(resolution,[status(thm)],[c_479282,c_124]) ).
tff(c_482419,plain,
( product(e_6,e_4,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c_482394,c_479354]) ).
tff(c_482666,plain,
~ product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_482419]) ).
tff(c_482585,plain,
! [X_4469] :
( product(X_4469,e_6,e_4)
| ~ product(X_4469,e_2,e_6) ),
inference(resolution,[status(thm)],[c_482394,c_124]) ).
tff(c_476514,plain,
! [X_18,X_4340] :
( product(X_18,X_4340,e_5)
| ~ product(X_18,e_6,X_4340)
| ~ product(X_4340,e_1,e_6) ),
inference(resolution,[status(thm)],[c_476466,c_124]) ).
tff(c_482629,plain,
! [X_4469] :
( product(X_4469,e_4,e_5)
| ~ product(e_4,e_1,e_6)
| ~ product(X_4469,e_2,e_6) ),
inference(resolution,[status(thm)],[c_482585,c_476514]) ).
tff(c_482901,plain,
~ product(e_4,e_1,e_6),
inference(splitLeft,[status(thm)],[c_482629]) ).
tff(c_482904,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_482901]) ).
tff(c_482907,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_44,c_482904]) ).
tff(c_482908,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_482666,c_482907]) ).
tff(c_482995,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_482908]) ).
tff(c_483046,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_482995,c_2268]) ).
tff(c_483133,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_483046]) ).
tff(c_483134,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(splitRight,[status(thm)],[c_482908]) ).
tff(c_483253,plain,
product(e_4,e_1,e_5),
inference(splitLeft,[status(thm)],[c_483134]) ).
tff(c_477715,plain,
( equalish(e_5,e_2)
| ~ product(e_6,e_1,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_461971,c_477697]) ).
tff(c_477751,plain,
( equalish(e_5,e_2)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_476123,c_477715]) ).
tff(c_477752,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_98,c_477751]) ).
tff(c_481154,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_477752]) ).
tff(c_477602,plain,
! [W_8,X_4365] :
( equalish(W_8,e_2)
| ~ product(X_4365,e_5,W_8)
| ~ product(X_4365,e_1,e_5) ),
inference(resolution,[status(thm)],[c_477569,c_118]) ).
tff(c_481170,plain,
( equalish(e_1,e_2)
| ~ product(e_6,e_1,e_5) ),
inference(resolution,[status(thm)],[c_481154,c_477602]) ).
tff(c_481208,plain,
equalish(e_1,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_476123,c_481170]) ).
tff(c_481210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_481208]) ).
tff(c_481211,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_477752]) ).
tff(c_481213,plain,
product(e_6,e_5,e_4),
inference(splitLeft,[status(thm)],[c_481211]) ).
tff(c_481223,plain,
( equalish(e_4,e_2)
| ~ product(e_6,e_1,e_5) ),
inference(resolution,[status(thm)],[c_481213,c_477602]) ).
tff(c_481245,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_476123,c_481223]) ).
tff(c_481247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_481245]) ).
tff(c_481248,plain,
( product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_481211]) ).
tff(c_481299,plain,
product(e_6,e_5,e_2),
inference(splitLeft,[status(thm)],[c_481248]) ).
tff(c_477601,plain,
! [W_14,X_4365] :
( equalish(W_14,X_4365)
| ~ product(W_14,e_5,e_2)
| ~ product(X_4365,e_1,e_5) ),
inference(resolution,[status(thm)],[c_477569,c_122]) ).
tff(c_481336,plain,
! [X_4365] :
( equalish(e_6,X_4365)
| ~ product(X_4365,e_1,e_5) ),
inference(resolution,[status(thm)],[c_481299,c_477601]) ).
tff(c_483258,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_483253,c_481336]) ).
tff(c_483332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_483258]) ).
tff(c_483333,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_483134]) ).
tff(c_483385,plain,
product(e_4,e_1,e_3),
inference(splitLeft,[status(thm)],[c_483333]) ).
tff(c_479099,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_478979,c_122]) ).
tff(c_483398,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_483385,c_479099]) ).
tff(c_483473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_483398]) ).
tff(c_483474,plain,
product(e_4,e_1,e_4),
inference(splitRight,[status(thm)],[c_483333]) ).
tff(c_483853,plain,
! [X_4487] :
( product(X_4487,e_4,e_4)
| ~ product(X_4487,e_1,e_4) ),
inference(resolution,[status(thm)],[c_483474,c_124]) ).
tff(c_483624,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_483474,c_120]) ).
tff(c_483857,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_483853,c_483624]) ).
tff(c_483880,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_483474,c_483857]) ).
tff(c_483882,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_483880]) ).
tff(c_483884,plain,
product(e_4,e_1,e_6),
inference(splitRight,[status(thm)],[c_482629]) ).
tff(c_476528,plain,
! [W_4342,X_4343] :
( equalish(W_4342,X_4343)
| ~ product(W_4342,e_6,e_5)
| ~ product(X_4343,e_1,e_6) ),
inference(resolution,[status(thm)],[c_476466,c_122]) ).
tff(c_476557,plain,
! [X_4343] :
( equalish(e_1,X_4343)
| ~ product(X_4343,e_1,e_6) ),
inference(resolution,[status(thm)],[c_475902,c_476528]) ).
tff(c_483903,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_483884,c_476557]) ).
tff(c_483988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_483903]) ).
tff(c_483990,plain,
product(e_4,e_1,e_2),
inference(splitRight,[status(thm)],[c_482419]) ).
tff(c_479435,plain,
! [W_4410,X_4411] :
( equalish(W_4410,X_4411)
| ~ product(W_4410,e_2,e_3)
| ~ product(X_4411,e_1,e_2) ),
inference(resolution,[status(thm)],[c_479282,c_122]) ).
tff(c_479443,plain,
! [X_4411] :
( equalish(e_5,X_4411)
| ~ product(X_4411,e_1,e_2) ),
inference(resolution,[status(thm)],[c_477253,c_479435]) ).
tff(c_484005,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_483990,c_479443]) ).
tff(c_484080,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_484005]) ).
tff(c_484081,plain,
product(e_6,e_5,e_3),
inference(splitRight,[status(thm)],[c_481248]) ).
tff(c_484148,plain,
( equalish(e_3,e_2)
| ~ product(e_6,e_1,e_5) ),
inference(resolution,[status(thm)],[c_484081,c_477602]) ).
tff(c_484177,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_476123,c_484148]) ).
tff(c_484179,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_484177]) ).
tff(c_484181,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_478978]) ).
tff(c_484184,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_484181]) ).
tff(c_484187,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_484184]) ).
tff(c_484189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_484187]) ).
tff(c_484190,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_477019]) ).
tff(c_484199,plain,
product(e_5,e_1,e_4),
inference(splitLeft,[status(thm)],[c_484190]) ).
tff(c_484294,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_1,e_5) ),
inference(resolution,[status(thm)],[c_484199,c_124]) ).
tff(c_484452,plain,
! [X_4492] :
( product(X_4492,e_5,e_4)
| ~ product(X_4492,e_1,e_5) ),
inference(resolution,[status(thm)],[c_484199,c_124]) ).
tff(c_484574,plain,
! [X_4499,X_4500] :
( product(X_4499,X_4500,e_4)
| ~ product(X_4499,e_5,X_4500)
| ~ product(X_4500,e_1,e_5) ),
inference(resolution,[status(thm)],[c_484452,c_124]) ).
tff(c_484601,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_1,e_5)
| ~ product(X_18,e_1,e_5) ),
inference(resolution,[status(thm)],[c_484294,c_484574]) ).
tff(c_484662,plain,
~ product(e_4,e_1,e_5),
inference(splitLeft,[status(thm)],[c_484601]) ).
tff(c_484683,plain,
( ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_236,c_484662]) ).
tff(c_484704,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_484683]) ).
tff(c_485231,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_484704]) ).
tff(c_485258,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_485231,c_2268]) ).
tff(c_485312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_485258]) ).
tff(c_485313,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_484704]) ).
tff(c_485339,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_485313]) ).
tff(c_484297,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_484199,c_122]) ).
tff(c_485346,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_485339,c_484297]) ).
tff(c_485400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_485346]) ).
tff(c_485401,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_485313]) ).
tff(c_485410,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_485401]) ).
tff(c_485435,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_485410,c_311]) ).
tff(c_485492,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_485435]) ).
tff(c_485493,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_485492]) ).
tff(c_485553,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_485493,c_124]) ).
tff(c_485809,plain,
! [X_4523] :
( product(X_4523,e_4,e_2)
| ~ product(X_4523,e_1,e_4) ),
inference(resolution,[status(thm)],[c_485410,c_124]) ).
tff(c_486354,plain,
! [X_4542,X_4543] :
( product(X_4542,X_4543,e_2)
| ~ product(X_4542,e_4,X_4543)
| ~ product(X_4543,e_1,e_4) ),
inference(resolution,[status(thm)],[c_485809,c_124]) ).
tff(c_486383,plain,
! [X_18] :
( product(X_18,e_3,e_2)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_485553,c_486354]) ).
tff(c_486645,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_486383]) ).
tff(c_486697,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_486645]) ).
tff(c_486700,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_486697]) ).
tff(c_486704,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_486700]) ).
tff(c_486733,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_486704,c_2268]) ).
tff(c_486791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_486733]) ).
tff(c_486792,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_486700]) ).
tff(c_486832,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_486792]) ).
tff(c_487129,plain,
! [X_4554] :
( product(X_4554,e_3,e_3)
| ~ product(X_4554,e_1,e_3) ),
inference(resolution,[status(thm)],[c_486832,c_124]) ).
tff(c_486944,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_486832,c_120]) ).
tff(c_487133,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_487129,c_486944]) ).
tff(c_487158,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_486832,c_487133]) ).
tff(c_487160,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_487158]) ).
tff(c_487161,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_486792]) ).
tff(c_485505,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_2) ),
inference(resolution,[status(thm)],[c_485410,c_122]) ).
tff(c_487176,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_487161,c_485505]) ).
tff(c_487226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_487176]) ).
tff(c_487228,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_486383]) ).
tff(c_487286,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_487228,c_484297]) ).
tff(c_487346,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_487286]) ).
tff(c_487347,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_485401]) ).
tff(c_487453,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_487347,c_124]) ).
tff(c_487617,plain,
! [X_4560] :
( product(X_4560,e_4,e_3)
| ~ product(X_4560,e_1,e_4) ),
inference(resolution,[status(thm)],[c_487347,c_124]) ).
tff(c_487748,plain,
! [X_4567,X_4568] :
( product(X_4567,X_4568,e_3)
| ~ product(X_4567,e_4,X_4568)
| ~ product(X_4568,e_1,e_4) ),
inference(resolution,[status(thm)],[c_487617,c_124]) ).
tff(c_487775,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_487453,c_487748]) ).
tff(c_487816,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_487775]) ).
tff(c_487819,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_487816]) ).
tff(c_487822,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_487819]) ).
tff(c_487823,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_487822]) ).
tff(c_487852,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_487823,c_2268]) ).
tff(c_487907,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_487852]) ).
tff(c_487908,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_487822]) ).
tff(c_487934,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_487908]) ).
tff(c_487456,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_487347,c_122]) ).
tff(c_487939,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_487934,c_487456]) ).
tff(c_487990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_487939]) ).
tff(c_487991,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_487908]) ).
tff(c_488138,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_487991,c_311]) ).
tff(c_488199,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_488138]) ).
tff(c_488200,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_488199]) ).
tff(c_488611,plain,
! [X_4584] :
( product(X_4584,e_3,e_3)
| ~ product(X_4584,e_2,e_3) ),
inference(resolution,[status(thm)],[c_488200,c_124]) ).
tff(c_488266,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_488200,c_120]) ).
tff(c_488615,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_488611,c_488266]) ).
tff(c_488640,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_488200,c_488615]) ).
tff(c_488642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_488640]) ).
tff(c_488644,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_487775]) ).
tff(c_488651,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_488644,c_484297]) ).
tff(c_488707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_488651]) ).
tff(c_488709,plain,
product(e_4,e_1,e_5),
inference(splitRight,[status(thm)],[c_484601]) ).
tff(c_488718,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_488709,c_476210]) ).
tff(c_488775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_488718]) ).
tff(c_488776,plain,
product(e_5,e_1,e_3),
inference(splitRight,[status(thm)],[c_484190]) ).
tff(c_314,plain,
! [W_14,X_62] :
( equalish(W_14,X_62)
| ~ product(W_14,e_1,e_3)
| ~ next(X_62,e_3)
| product(X_62,e_1,e_2)
| product(X_62,e_1,e_1)
| ~ group_element(X_62) ),
inference(resolution,[status(thm)],[c_296,c_122]) ).
tff(c_489912,plain,
! [X_4613] :
( equalish(e_5,X_4613)
| ~ next(X_4613,e_3)
| product(X_4613,e_1,e_2)
| product(X_4613,e_1,e_1)
| ~ group_element(X_4613) ),
inference(resolution,[status(thm)],[c_488776,c_314]) ).
tff(c_489951,plain,
( equalish(e_5,e_2)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_489912,c_1484]) ).
tff(c_490012,plain,
( equalish(e_5,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_489951]) ).
tff(c_490014,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_98,c_490012]) ).
tff(c_490015,plain,
product(e_1,e_5,e_5),
inference(splitRight,[status(thm)],[c_476742]) ).
tff(c_475923,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_1,W_11,e_5) ),
inference(resolution,[status(thm)],[c_475902,c_120]) ).
tff(c_490023,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_490015,c_475923]) ).
tff(c_490046,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_490023]) ).
tff(c_490047,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_475900]) ).
tff(c_490126,plain,
product(e_1,e_6,e_3),
inference(splitLeft,[status(thm)],[c_490047]) ).
tff(c_490260,plain,
! [X_4620] :
( product(X_4620,e_1,e_3)
| ~ product(X_4620,e_6,e_1) ),
inference(resolution,[status(thm)],[c_490126,c_124]) ).
tff(c_490264,plain,
product(e_6,e_1,e_3),
inference(resolution,[status(thm)],[c_461985,c_490260]) ).
tff(c_490784,plain,
! [X_4635] :
( equalish(e_6,X_4635)
| ~ next(X_4635,e_3)
| product(X_4635,e_1,e_2)
| product(X_4635,e_1,e_1)
| ~ group_element(X_4635) ),
inference(resolution,[status(thm)],[c_490264,c_314]) ).
tff(c_490814,plain,
( equalish(e_6,e_2)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_490784,c_1484]) ).
tff(c_490865,plain,
( equalish(e_6,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_490814]) ).
tff(c_490867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_108,c_490865]) ).
tff(c_490868,plain,
product(e_1,e_6,e_4),
inference(splitRight,[status(thm)],[c_490047]) ).
tff(c_491083,plain,
! [X_4642] :
( product(X_4642,e_1,e_4)
| ~ product(X_4642,e_6,e_1) ),
inference(resolution,[status(thm)],[c_490868,c_124]) ).
tff(c_491087,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_461985,c_491083]) ).
tff(c_491346,plain,
! [X_4646] :
( product(X_4646,e_6,e_4)
| ~ product(X_4646,e_1,e_6) ),
inference(resolution,[status(thm)],[c_491087,c_124]) ).
tff(c_491528,plain,
! [X_4655,X_4656] :
( product(X_4655,X_4656,e_4)
| ~ product(X_4655,e_6,X_4656)
| ~ product(X_4656,e_1,e_6) ),
inference(resolution,[status(thm)],[c_491346,c_124]) ).
tff(c_491562,plain,
( product(e_1,e_4,e_4)
| ~ product(e_4,e_1,e_6) ),
inference(resolution,[status(thm)],[c_490868,c_491528]) ).
tff(c_491590,plain,
~ product(e_4,e_1,e_6),
inference(splitLeft,[status(thm)],[c_491562]) ).
tff(c_491593,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_491590]) ).
tff(c_491596,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_44,c_491593]) ).
tff(c_491829,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_491596]) ).
tff(c_491858,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_491829,c_2268]) ).
tff(c_491913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_491858]) ).
tff(c_491914,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(splitRight,[status(thm)],[c_491596]) ).
tff(c_491940,plain,
product(e_4,e_1,e_5),
inference(splitLeft,[status(thm)],[c_491914]) ).
tff(c_492046,plain,
! [X_18] :
( product(X_18,e_4,e_5)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_491940,c_124]) ).
tff(c_492319,plain,
! [X_4669] :
( product(X_4669,e_4,e_5)
| ~ product(X_4669,e_1,e_4) ),
inference(resolution,[status(thm)],[c_491940,c_124]) ).
tff(c_492510,plain,
! [X_4676,X_4677] :
( product(X_4676,X_4677,e_5)
| ~ product(X_4676,e_4,X_4677)
| ~ product(X_4677,e_1,e_4) ),
inference(resolution,[status(thm)],[c_492319,c_124]) ).
tff(c_492537,plain,
! [X_18] :
( product(X_18,e_5,e_5)
| ~ product(e_5,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_492046,c_492510]) ).
tff(c_492562,plain,
~ product(e_5,e_1,e_4),
inference(splitLeft,[status(thm)],[c_492537]) ).
tff(c_491180,plain,
! [X_18] :
( product(X_18,e_6,e_4)
| ~ product(X_18,e_1,e_6) ),
inference(resolution,[status(thm)],[c_491087,c_124]) ).
tff(c_492048,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_5) ),
inference(resolution,[status(thm)],[c_491940,c_120]) ).
tff(c_492323,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_492319,c_492048]) ).
tff(c_492338,plain,
~ product(e_4,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_86,c_492323]) ).
tff(c_492195,plain,
! [W_4667] :
( equalish(W_4667,e_1)
| ~ product(e_4,W_4667,e_5) ),
inference(resolution,[status(thm)],[c_491940,c_120]) ).
tff(c_492210,plain,
( equalish(e_6,e_1)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_462271,c_492195]) ).
tff(c_492241,plain,
( equalish(e_6,e_1)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_492210]) ).
tff(c_492242,plain,
( product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_492241]) ).
tff(c_492563,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_492242]) ).
tff(c_490989,plain,
! [X_18] :
( product(X_18,e_1,e_4)
| ~ product(X_18,e_6,e_1) ),
inference(resolution,[status(thm)],[c_490868,c_124]) ).
tff(c_492571,plain,
product(e_4,e_1,e_4),
inference(resolution,[status(thm)],[c_492563,c_490989]) ).
tff(c_492602,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_492338,c_492571]) ).
tff(c_492603,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_492242]) ).
tff(c_492611,plain,
product(e_4,e_6,e_4),
inference(splitLeft,[status(thm)],[c_492603]) ).
tff(c_490991,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_6,e_4) ),
inference(resolution,[status(thm)],[c_490868,c_122]) ).
tff(c_492623,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_492611,c_490991]) ).
tff(c_492647,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_492623]) ).
tff(c_492648,plain,
( product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_492603]) ).
tff(c_492703,plain,
product(e_4,e_6,e_2),
inference(splitLeft,[status(thm)],[c_492648]) ).
tff(c_492837,plain,
! [X_4683] :
( product(X_4683,e_4,e_2)
| ~ product(X_4683,e_6,e_4) ),
inference(resolution,[status(thm)],[c_492703,c_124]) ).
tff(c_493095,plain,
! [X_4690] :
( product(X_4690,e_4,e_2)
| ~ product(X_4690,e_1,e_6) ),
inference(resolution,[status(thm)],[c_491180,c_492837]) ).
tff(c_493757,plain,
! [X_4708,X_4709] :
( product(X_4708,X_4709,e_2)
| ~ product(X_4708,e_4,X_4709)
| ~ product(X_4709,e_1,e_6) ),
inference(resolution,[status(thm)],[c_493095,c_124]) ).
tff(c_493790,plain,
! [X_18] :
( product(X_18,e_5,e_2)
| ~ product(e_5,e_1,e_6)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_492046,c_493757]) ).
tff(c_493870,plain,
~ product(e_5,e_1,e_6),
inference(splitLeft,[status(thm)],[c_493790]) ).
tff(c_493873,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_493870]) ).
tff(c_493876,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_44,c_493873]) ).
tff(c_493877,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_492562,c_493876]) ).
tff(c_494624,plain,
product(e_5,e_1,e_1),
inference(splitLeft,[status(thm)],[c_493877]) ).
tff(c_494657,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_494624,c_2268]) ).
tff(c_494720,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_494657]) ).
tff(c_494721,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_5) ),
inference(splitRight,[status(thm)],[c_493877]) ).
tff(c_494776,plain,
product(e_5,e_1,e_5),
inference(splitLeft,[status(thm)],[c_494721]) ).
tff(c_492050,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_5) ),
inference(resolution,[status(thm)],[c_491940,c_122]) ).
tff(c_494789,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_494776,c_492050]) ).
tff(c_494853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_494789]) ).
tff(c_494854,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_494721]) ).
tff(c_494905,plain,
product(e_5,e_1,e_2),
inference(splitLeft,[status(thm)],[c_494854]) ).
tff(c_495506,plain,
! [X_4732] :
( product(X_4732,e_5,e_2)
| ~ product(X_4732,e_1,e_5) ),
inference(resolution,[status(thm)],[c_494905,c_124]) ).
tff(c_492738,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_4,W_11,e_2) ),
inference(resolution,[status(thm)],[c_492703,c_120]) ).
tff(c_495522,plain,
( equalish(e_5,e_6)
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[c_495506,c_492738]) ).
tff(c_495549,plain,
equalish(e_5,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_491940,c_495522]) ).
tff(c_495551,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_495549]) ).
tff(c_495552,plain,
product(e_5,e_1,e_3),
inference(splitRight,[status(thm)],[c_494854]) ).
tff(c_492845,plain,
product(e_1,e_4,e_2),
inference(resolution,[status(thm)],[c_490868,c_492837]) ).
tff(c_492346,plain,
! [X_18,X_4669] :
( product(X_18,X_4669,e_5)
| ~ product(X_18,e_4,X_4669)
| ~ product(X_4669,e_1,e_4) ),
inference(resolution,[status(thm)],[c_492319,c_124]) ).
tff(c_492865,plain,
( product(e_1,e_2,e_5)
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[c_492845,c_492346]) ).
tff(c_493154,plain,
~ product(e_2,e_1,e_4),
inference(splitLeft,[status(thm)],[c_492865]) ).
tff(c_491398,plain,
! [X_18,X_4646] :
( product(X_18,X_4646,e_4)
| ~ product(X_18,e_6,X_4646)
| ~ product(X_4646,e_1,e_6) ),
inference(resolution,[status(thm)],[c_491346,c_124]) ).
tff(c_492723,plain,
( product(e_4,e_2,e_4)
| ~ product(e_2,e_1,e_6) ),
inference(resolution,[status(thm)],[c_492703,c_491398]) ).
tff(c_493087,plain,
~ product(e_2,e_1,e_6),
inference(splitLeft,[status(thm)],[c_492723]) ).
tff(c_493090,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_493087]) ).
tff(c_493093,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_493090]) ).
tff(c_493094,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_493093]) ).
tff(c_493275,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_493154,c_493094]) ).
tff(c_493276,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_493275]) ).
tff(c_493389,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_493276,c_122]) ).
tff(c_495581,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_495552,c_493389]) ).
tff(c_495640,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_495581]) ).
tff(c_495642,plain,
product(e_5,e_1,e_6),
inference(splitRight,[status(thm)],[c_493790]) ).
tff(c_491496,plain,
! [W_4650,X_4651] :
( equalish(W_4650,X_4651)
| ~ product(W_4650,e_6,e_4)
| ~ product(X_4651,e_1,e_6) ),
inference(resolution,[status(thm)],[c_491346,c_122]) ).
tff(c_491502,plain,
! [X_4651] :
( equalish(e_1,X_4651)
| ~ product(X_4651,e_1,e_6) ),
inference(resolution,[status(thm)],[c_490868,c_491496]) ).
tff(c_495650,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_495642,c_491502]) ).
tff(c_495714,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_495650]) ).
tff(c_495716,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_493275]) ).
tff(c_495783,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_495716]) ).
tff(c_495794,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_495783]) ).
tff(c_495796,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_495794]) ).
tff(c_495797,plain,
product(e_4,e_6,e_3),
inference(splitRight,[status(thm)],[c_492648]) ).
tff(c_495968,plain,
! [X_4738] :
( product(X_4738,e_4,e_3)
| ~ product(X_4738,e_6,e_4) ),
inference(resolution,[status(thm)],[c_495797,c_124]) ).
tff(c_495976,plain,
product(e_1,e_4,e_3),
inference(resolution,[status(thm)],[c_490868,c_495968]) ).
tff(c_496000,plain,
( product(e_1,e_3,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_495976,c_492346]) ).
tff(c_496220,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_496000]) ).
tff(c_496231,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_496220]) ).
tff(c_496234,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_496231]) ).
tff(c_496409,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_496234]) ).
tff(c_496438,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_496409,c_2268]) ).
tff(c_496493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_496438]) ).
tff(c_496495,plain,
~ product(e_3,e_1,e_1),
inference(splitRight,[status(thm)],[c_496234]) ).
tff(c_491334,plain,
! [W_4645] :
( equalish(W_4645,e_6)
| ~ product(W_4645,e_1,e_4) ),
inference(resolution,[status(thm)],[c_491087,c_122]) ).
tff(c_491343,plain,
! [X_119] :
( equalish(X_119,e_6)
| ~ next(X_119,e_4)
| product(X_119,e_1,e_3)
| product(X_119,e_1,e_2)
| product(X_119,e_1,e_1)
| ~ group_element(X_119) ),
inference(resolution,[status(thm)],[c_1328,c_491334]) ).
tff(c_496494,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_496234]) ).
tff(c_496620,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_496494]) ).
tff(c_496941,plain,
! [X_4757] :
( product(X_4757,e_3,e_3)
| ~ product(X_4757,e_1,e_3) ),
inference(resolution,[status(thm)],[c_496620,c_124]) ).
tff(c_496732,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_496620,c_120]) ).
tff(c_496945,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_496941,c_496732]) ).
tff(c_496976,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_496620,c_496945]) ).
tff(c_496978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_496976]) ).
tff(c_496980,plain,
~ product(e_3,e_1,e_3),
inference(splitRight,[status(thm)],[c_496494]) ).
tff(c_496983,plain,
( equalish(e_3,e_6)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_491343,c_496980]) ).
tff(c_496992,plain,
( equalish(e_3,e_6)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_496983]) ).
tff(c_496993,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_496495,c_84,c_496992]) ).
tff(c_497026,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_496993,c_311]) ).
tff(c_497083,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_497026]) ).
tff(c_497084,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_497083]) ).
tff(c_497600,plain,
! [X_4767] :
( product(X_4767,e_3,e_3)
| ~ product(X_4767,e_2,e_3) ),
inference(resolution,[status(thm)],[c_497084,c_124]) ).
tff(c_497158,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_497084,c_120]) ).
tff(c_497604,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_497600,c_497158]) ).
tff(c_497635,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_497084,c_497604]) ).
tff(c_497637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_497635]) ).
tff(c_497638,plain,
( product(e_6,e_6,e_2)
| product(e_6,e_6,e_3)
| product(e_6,e_6,e_4)
| product(e_6,e_6,e_5) ),
inference(splitRight,[status(thm)],[c_461984]) ).
tff(c_497640,plain,
product(e_6,e_6,e_5),
inference(splitLeft,[status(thm)],[c_497638]) ).
tff(c_497790,plain,
! [W_4769] :
( equalish(W_4769,e_6)
| ~ product(e_6,W_4769,e_5) ),
inference(resolution,[status(thm)],[c_497640,c_120]) ).
tff(c_497819,plain,
! [Y_5] :
( equalish(Y_5,e_6)
| product(e_6,Y_5,e_4)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(Y_5) ),
inference(resolution,[status(thm)],[c_461971,c_497790]) ).
tff(c_497768,plain,
( product(e_6,e_5,e_6)
| product(e_5,e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_497640,c_219]) ).
tff(c_497781,plain,
( product(e_6,e_5,e_6)
| product(e_5,e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_54,c_497768]) ).
tff(c_498494,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_497781]) ).
tff(c_498653,plain,
! [X_4787] :
( product(X_4787,e_5,e_1)
| ~ product(X_4787,e_6,e_5) ),
inference(resolution,[status(thm)],[c_498494,c_124]) ).
tff(c_498695,plain,
product(e_6,e_5,e_1),
inference(resolution,[status(thm)],[c_497640,c_498653]) ).
tff(c_497931,plain,
! [X_4772] :
( product(X_4772,e_6,e_5)
| ~ product(X_4772,e_6,e_6) ),
inference(resolution,[status(thm)],[c_497640,c_124]) ).
tff(c_497935,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_116,c_497931]) ).
tff(c_498236,plain,
! [X_4776] :
( product(X_4776,e_6,e_5)
| product(X_4776,e_6,e_4)
| product(X_4776,e_6,e_3)
| product(X_4776,e_6,e_2)
| product(X_4776,e_6,e_1)
| ~ group_element(X_4776) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_497935]) ).
tff(c_497788,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_6,e_5) ),
inference(resolution,[status(thm)],[c_497640,c_122]) ).
tff(c_498264,plain,
! [X_4776] :
( equalish(X_4776,e_6)
| product(X_4776,e_6,e_4)
| product(X_4776,e_6,e_3)
| product(X_4776,e_6,e_2)
| product(X_4776,e_6,e_1)
| ~ group_element(X_4776) ),
inference(resolution,[status(thm)],[c_498236,c_497788]) ).
tff(c_497938,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(X_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_497935]) ).
tff(c_498870,plain,
! [X_4791] :
( product(X_4791,e_6,e_1)
| ~ product(X_4791,e_5,e_6) ),
inference(resolution,[status(thm)],[c_498695,c_124]) ).
tff(c_498901,plain,
( equalish(e_6,e_1)
| ~ product(e_1,e_5,e_6) ),
inference(resolution,[status(thm)],[c_498870,c_2267]) ).
tff(c_498934,plain,
~ product(e_1,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_106,c_498901]) ).
tff(c_498954,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_498934]) ).
tff(c_498957,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_52,c_498954]) ).
tff(c_499206,plain,
product(e_1,e_5,e_1),
inference(splitLeft,[status(thm)],[c_498957]) ).
tff(c_498746,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_498695,c_122]) ).
tff(c_499211,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_499206,c_498746]) ).
tff(c_499237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_499211]) ).
tff(c_499238,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_498957]) ).
tff(c_499240,plain,
product(e_1,e_5,e_5),
inference(splitLeft,[status(thm)],[c_499238]) ).
tff(c_499447,plain,
! [X_4807] :
( product(X_4807,e_1,e_5)
| ~ product(X_4807,e_5,e_1) ),
inference(resolution,[status(thm)],[c_499240,c_124]) ).
tff(c_499451,plain,
product(e_6,e_1,e_5),
inference(resolution,[status(thm)],[c_498695,c_499447]) ).
tff(c_497787,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_6,W_11,e_5) ),
inference(resolution,[status(thm)],[c_497640,c_120]) ).
tff(c_499454,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_499451,c_497787]) ).
tff(c_499501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_499454]) ).
tff(c_499502,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_499238]) ).
tff(c_499546,plain,
product(e_1,e_5,e_2),
inference(splitLeft,[status(thm)],[c_499502]) ).
tff(c_499658,plain,
! [X_4811] :
( product(X_4811,e_1,e_2)
| ~ product(X_4811,e_5,e_1) ),
inference(resolution,[status(thm)],[c_499546,c_124]) ).
tff(c_499662,plain,
product(e_6,e_1,e_2),
inference(resolution,[status(thm)],[c_498695,c_499658]) ).
tff(c_500079,plain,
! [X_4818] :
( product(X_4818,e_6,e_2)
| ~ product(X_4818,e_1,e_6) ),
inference(resolution,[status(thm)],[c_499662,c_124]) ).
tff(c_498942,plain,
! [X_18,X_4791] :
( product(X_18,X_4791,e_1)
| ~ product(X_18,e_6,X_4791)
| ~ product(X_4791,e_5,e_6) ),
inference(resolution,[status(thm)],[c_498870,c_124]) ).
tff(c_500121,plain,
! [X_4818] :
( product(X_4818,e_2,e_1)
| ~ product(e_2,e_5,e_6)
| ~ product(X_4818,e_1,e_6) ),
inference(resolution,[status(thm)],[c_500079,c_498942]) ).
tff(c_501091,plain,
~ product(e_2,e_5,e_6),
inference(splitLeft,[status(thm)],[c_500121]) ).
tff(c_501094,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_501091]) ).
tff(c_501097,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_52,c_501094]) ).
tff(c_507245,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_501097]) ).
tff(c_499572,plain,
! [X_18] :
( product(X_18,e_1,e_2)
| ~ product(X_18,e_5,e_1) ),
inference(resolution,[status(thm)],[c_499546,c_124]) ).
tff(c_507266,plain,
product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[c_507245,c_499572]) ).
tff(c_507316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1484,c_507266]) ).
tff(c_507317,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_501097]) ).
tff(c_508319,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_507317]) ).
tff(c_509168,plain,
! [X_5026] :
( product(X_5026,e_2,e_5)
| ~ product(X_5026,e_5,e_2) ),
inference(resolution,[status(thm)],[c_508319,c_124]) ).
tff(c_509172,plain,
product(e_1,e_2,e_5),
inference(resolution,[status(thm)],[c_499546,c_509168]) ).
tff(c_509259,plain,
! [W_5027] :
( equalish(W_5027,e_2)
| ~ product(e_1,W_5027,e_5) ),
inference(resolution,[status(thm)],[c_509172,c_120]) ).
tff(c_509270,plain,
( equalish(e_6,e_2)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_497938,c_509259]) ).
tff(c_509302,plain,
( equalish(e_6,e_2)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_509270]) ).
tff(c_509303,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_509302]) ).
tff(c_510018,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_509303]) ).
tff(c_1730,plain,
! [X_135] :
( ~ next(X_135,e_2)
| product(X_135,e_1,e_2)
| product(X_135,e_1,e_1)
| ~ group_element(X_135) ),
inference(resolution,[status(thm)],[c_1671,c_166]) ).
tff(c_499812,plain,
! [W_4813] :
( equalish(W_4813,e_6)
| ~ product(W_4813,e_1,e_2) ),
inference(resolution,[status(thm)],[c_499662,c_122]) ).
tff(c_500850,plain,
! [X_4841] :
( equalish(X_4841,e_6)
| ~ next(X_4841,e_2)
| product(X_4841,e_1,e_1)
| ~ group_element(X_4841) ),
inference(resolution,[status(thm)],[c_1730,c_499812]) ).
tff(c_500987,plain,
! [W_11,X_4841] :
( equalish(W_11,e_1)
| ~ product(X_4841,W_11,e_1)
| equalish(X_4841,e_6)
| ~ next(X_4841,e_2)
| ~ group_element(X_4841) ),
inference(resolution,[status(thm)],[c_500850,c_120]) ).
tff(c_510033,plain,
( equalish(e_6,e_1)
| equalish(e_1,e_6)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_510018,c_500987]) ).
tff(c_510097,plain,
( equalish(e_6,e_1)
| equalish(e_1,e_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_510033]) ).
tff(c_510099,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_106,c_510097]) ).
tff(c_510100,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_509303]) ).
tff(c_510486,plain,
product(e_1,e_6,e_4),
inference(splitLeft,[status(thm)],[c_510100]) ).
tff(c_508350,plain,
! [W_5019] :
( equalish(W_5019,e_5)
| ~ product(e_2,W_5019,e_5) ),
inference(resolution,[status(thm)],[c_508319,c_120]) ).
tff(c_508361,plain,
( equalish(e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_497938,c_508350]) ).
tff(c_508393,plain,
( equalish(e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_508361]) ).
tff(c_508394,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_508393]) ).
tff(c_509704,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_508394]) ).
tff(c_498529,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_498494,c_122]) ).
tff(c_509744,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_509704,c_498529]) ).
tff(c_509804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_509744]) ).
tff(c_509805,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_508394]) ).
tff(c_509811,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_509805]) ).
tff(c_509867,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_6,e_4) ),
inference(resolution,[status(thm)],[c_509811,c_122]) ).
tff(c_510491,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_510486,c_509867]) ).
tff(c_510528,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_510491]) ).
tff(c_510529,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_510100]) ).
tff(c_510615,plain,
product(e_1,e_6,e_2),
inference(splitLeft,[status(thm)],[c_510529]) ).
tff(c_499573,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_1,W_11,e_2) ),
inference(resolution,[status(thm)],[c_499546,c_120]) ).
tff(c_510639,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_510615,c_499573]) ).
tff(c_510680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_510639]) ).
tff(c_510681,plain,
product(e_1,e_6,e_3),
inference(splitRight,[status(thm)],[c_510529]) ).
tff(c_510943,plain,
! [X_5061] :
( product(X_5061,e_1,e_3)
| ~ product(X_5061,e_6,e_1) ),
inference(resolution,[status(thm)],[c_510681,c_124]) ).
tff(c_510951,plain,
product(e_5,e_1,e_3),
inference(resolution,[status(thm)],[c_498494,c_510943]) ).
tff(c_506595,plain,
product(e_5,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1923]) ).
tff(c_498528,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_5,W_11,e_1) ),
inference(resolution,[status(thm)],[c_498494,c_120]) ).
tff(c_506666,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_506595,c_498528]) ).
tff(c_506805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_506666]) ).
tff(c_506806,plain,
! [X_139] :
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_1923]) ).
tff(c_507319,plain,
product(e_5,e_1,e_5),
inference(splitLeft,[status(thm)],[c_506806]) ).
tff(c_507844,plain,
! [X_5016] :
( product(X_5016,e_5,e_5)
| ~ product(X_5016,e_1,e_5) ),
inference(resolution,[status(thm)],[c_507319,c_124]) ).
tff(c_507524,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_507319,c_120]) ).
tff(c_507848,plain,
( equalish(e_5,e_1)
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[c_507844,c_507524]) ).
tff(c_507880,plain,
equalish(e_5,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_507319,c_507848]) ).
tff(c_507882,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_507880]) ).
tff(c_507883,plain,
! [X_139] :
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_506806]) ).
tff(c_507934,plain,
product(e_5,e_1,e_2),
inference(splitLeft,[status(thm)],[c_507883]) ).
tff(c_499685,plain,
( product(e_6,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_499662,c_311]) ).
tff(c_499736,plain,
( product(e_6,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_499685]) ).
tff(c_499737,plain,
product(e_6,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_499736]) ).
tff(c_499746,plain,
! [X_18] :
( product(X_18,e_6,e_2)
| ~ product(X_18,e_1,e_6) ),
inference(resolution,[status(thm)],[c_499662,c_124]) ).
tff(c_500667,plain,
! [X_4837,X_4838] :
( product(X_4837,X_4838,e_2)
| ~ product(X_4837,e_6,X_4838)
| ~ product(X_4838,e_1,e_6) ),
inference(resolution,[status(thm)],[c_500079,c_124]) ).
tff(c_500710,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_1,e_6)
| ~ product(X_18,e_1,e_6) ),
inference(resolution,[status(thm)],[c_499746,c_500667]) ).
tff(c_501152,plain,
~ product(e_2,e_1,e_6),
inference(splitLeft,[status(thm)],[c_500710]) ).
tff(c_501155,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_501152]) ).
tff(c_501158,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_501155]) ).
tff(c_501159,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_501158]) ).
tff(c_501182,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_501159]) ).
tff(c_501477,plain,
! [X_4853] :
( product(X_4853,e_2,e_3)
| ~ product(X_4853,e_1,e_2) ),
inference(resolution,[status(thm)],[c_501182,c_124]) ).
tff(c_501587,plain,
! [W_4857,X_4858] :
( equalish(W_4857,X_4858)
| ~ product(W_4857,e_2,e_3)
| ~ product(X_4858,e_1,e_2) ),
inference(resolution,[status(thm)],[c_501477,c_122]) ).
tff(c_501595,plain,
! [X_4858] :
( equalish(e_6,X_4858)
| ~ product(X_4858,e_1,e_2) ),
inference(resolution,[status(thm)],[c_499737,c_501587]) ).
tff(c_507989,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_507934,c_501595]) ).
tff(c_508115,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_507989]) ).
tff(c_508116,plain,
! [X_139] :
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_507883]) ).
tff(c_508470,plain,
product(e_5,e_1,e_4),
inference(splitLeft,[status(thm)],[c_508116]) ).
tff(c_508677,plain,
! [W_8] :
( equalish(W_8,e_4)
| ~ product(e_5,e_1,W_8) ),
inference(resolution,[status(thm)],[c_508470,c_118]) ).
tff(c_510954,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_510951,c_508677]) ).
tff(c_511054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_510954]) ).
tff(c_511055,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_509805]) ).
tff(c_511066,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_511055]) ).
tff(c_511298,plain,
! [X_5067] :
( product(X_5067,e_2,e_2)
| ~ product(X_5067,e_6,e_2) ),
inference(resolution,[status(thm)],[c_511066,c_124]) ).
tff(c_511305,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_511066,c_511298]) ).
tff(c_511137,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_511066,c_120]) ).
tff(c_511309,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_511305,c_511137]) ).
tff(c_511349,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_511309]) ).
tff(c_511350,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_511055]) ).
tff(c_501286,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_2,W_11,e_3) ),
inference(resolution,[status(thm)],[c_501182,c_120]) ).
tff(c_511365,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_511350,c_501286]) ).
tff(c_511414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_511365]) ).
tff(c_511415,plain,
! [X_139] :
( product(e_5,e_1,e_3)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_508116]) ).
tff(c_511578,plain,
product(e_5,e_1,e_3),
inference(splitLeft,[status(thm)],[c_511415]) ).
tff(c_501288,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_501182,c_122]) ).
tff(c_511627,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_511578,c_501288]) ).
tff(c_511756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_511627]) ).
tff(c_511758,plain,
~ product(e_5,e_1,e_3),
inference(splitRight,[status(thm)],[c_511415]) ).
tff(c_511487,plain,
! [X_5069] :
( product(X_5069,e_2,e_5)
| ~ product(X_5069,e_5,e_2) ),
inference(resolution,[status(thm)],[c_508319,c_124]) ).
tff(c_511491,plain,
product(e_1,e_2,e_5),
inference(resolution,[status(thm)],[c_499546,c_511487]) ).
tff(c_511766,plain,
! [W_5070] :
( equalish(W_5070,e_2)
| ~ product(e_1,W_5070,e_5) ),
inference(resolution,[status(thm)],[c_511491,c_120]) ).
tff(c_511777,plain,
( equalish(e_6,e_2)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_497938,c_511766]) ).
tff(c_511809,plain,
( equalish(e_6,e_2)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_511777]) ).
tff(c_511810,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_511809]) ).
tff(c_512432,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_511810]) ).
tff(c_512447,plain,
( equalish(e_6,e_1)
| equalish(e_1,e_6)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_512432,c_500987]) ).
tff(c_512511,plain,
( equalish(e_6,e_1)
| equalish(e_1,e_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_512447]) ).
tff(c_512513,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_106,c_512511]) ).
tff(c_512514,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_511810]) ).
tff(c_512743,plain,
product(e_1,e_6,e_4),
inference(splitLeft,[status(thm)],[c_512514]) ).
tff(c_511973,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_508394]) ).
tff(c_512013,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_511973,c_498529]) ).
tff(c_512073,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_512013]) ).
tff(c_512074,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_508394]) ).
tff(c_512209,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_512074]) ).
tff(c_512261,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_6,e_4) ),
inference(resolution,[status(thm)],[c_512209,c_122]) ).
tff(c_512825,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_512743,c_512261]) ).
tff(c_512860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_512825]) ).
tff(c_512861,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_512514]) ).
tff(c_512870,plain,
product(e_1,e_6,e_2),
inference(splitLeft,[status(thm)],[c_512861]) ).
tff(c_512894,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_512870,c_499573]) ).
tff(c_512935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_512894]) ).
tff(c_512936,plain,
product(e_1,e_6,e_3),
inference(splitRight,[status(thm)],[c_512861]) ).
tff(c_513199,plain,
! [X_5094] :
( product(X_5094,e_1,e_3)
| ~ product(X_5094,e_6,e_1) ),
inference(resolution,[status(thm)],[c_512936,c_124]) ).
tff(c_513205,plain,
product(e_5,e_1,e_3),
inference(resolution,[status(thm)],[c_498494,c_513199]) ).
tff(c_513210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_511758,c_513205]) ).
tff(c_513211,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_512074]) ).
tff(c_513221,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_513211]) ).
tff(c_513453,plain,
! [X_5100] :
( product(X_5100,e_2,e_2)
| ~ product(X_5100,e_6,e_2) ),
inference(resolution,[status(thm)],[c_513221,c_124]) ).
tff(c_513460,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_513221,c_513453]) ).
tff(c_513292,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_513221,c_120]) ).
tff(c_513464,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_513460,c_513292]) ).
tff(c_513504,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_513464]) ).
tff(c_513505,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_513211]) ).
tff(c_513520,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_513505,c_501286]) ).
tff(c_513569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_513520]) ).
tff(c_513570,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_507317]) ).
tff(c_513708,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_513570]) ).
tff(c_499574,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_499546,c_122]) ).
tff(c_513717,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_513708,c_499574]) ).
tff(c_513745,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_513717]) ).
tff(c_513746,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_513570]) ).
tff(c_513748,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_513746]) ).
tff(c_514293,plain,
! [W_5108] :
( equalish(W_5108,e_5)
| ~ product(e_2,W_5108,e_4) ),
inference(resolution,[status(thm)],[c_513748,c_120]) ).
tff(c_514300,plain,
( equalish(e_6,e_5)
| equalish(e_2,e_6)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_498264,c_514293]) ).
tff(c_514309,plain,
( equalish(e_6,e_5)
| equalish(e_2,e_6)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_514300]) ).
tff(c_514310,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_74,c_114,c_514309]) ).
tff(c_515090,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_514310]) ).
tff(c_515132,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_515090,c_498529]) ).
tff(c_515192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_515132]) ).
tff(c_515193,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_514310]) ).
tff(c_515199,plain,
product(e_2,e_6,e_3),
inference(splitLeft,[status(thm)],[c_515193]) ).
tff(c_515209,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_515199,c_501286]) ).
tff(c_515258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_515209]) ).
tff(c_515259,plain,
product(e_2,e_6,e_2),
inference(splitRight,[status(thm)],[c_515193]) ).
tff(c_515498,plain,
! [X_5130] :
( product(X_5130,e_2,e_2)
| ~ product(X_5130,e_6,e_2) ),
inference(resolution,[status(thm)],[c_515259,c_124]) ).
tff(c_515505,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_515259,c_515498]) ).
tff(c_515335,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_515259,c_120]) ).
tff(c_515509,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_515505,c_515335]) ).
tff(c_515551,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_515509]) ).
tff(c_515552,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_513746]) ).
tff(c_515562,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_515552,c_501286]) ).
tff(c_515594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_515562]) ).
tff(c_515596,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_501159]) ).
tff(c_515599,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_515596]) ).
tff(c_515602,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_515599]) ).
tff(c_515604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_515602]) ).
tff(c_515606,plain,
product(e_2,e_5,e_6),
inference(splitRight,[status(thm)],[c_500121]) ).
tff(c_499010,plain,
! [W_4796,X_4797] :
( equalish(W_4796,X_4797)
| ~ product(W_4796,e_6,e_1)
| ~ product(X_4797,e_5,e_6) ),
inference(resolution,[status(thm)],[c_498870,c_122]) ).
tff(c_499016,plain,
! [X_4797] :
( equalish(e_5,X_4797)
| ~ product(X_4797,e_5,e_6) ),
inference(resolution,[status(thm)],[c_498494,c_499010]) ).
tff(c_515620,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_515606,c_499016]) ).
tff(c_515655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_515620]) ).
tff(c_515656,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_499502]) ).
tff(c_515658,plain,
product(e_1,e_5,e_4),
inference(splitLeft,[status(thm)],[c_515656]) ).
tff(c_515688,plain,
! [W_5131] :
( equalish(W_5131,e_5)
| ~ product(e_1,W_5131,e_4) ),
inference(resolution,[status(thm)],[c_515658,c_120]) ).
tff(c_515695,plain,
( equalish(e_6,e_5)
| equalish(e_1,e_6)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_498264,c_515688]) ).
tff(c_515704,plain,
( equalish(e_6,e_5)
| equalish(e_1,e_6)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_515695]) ).
tff(c_515705,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_114,c_515704]) ).
tff(c_516300,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_515705]) ).
tff(c_516392,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_516300,c_498529]) ).
tff(c_516426,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_516392]) ).
tff(c_516427,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_515705]) ).
tff(c_516433,plain,
product(e_1,e_6,e_3),
inference(splitLeft,[status(thm)],[c_516427]) ).
tff(c_516600,plain,
! [X_5151] :
( product(X_5151,e_1,e_3)
| ~ product(X_5151,e_6,e_1) ),
inference(resolution,[status(thm)],[c_516433,c_124]) ).
tff(c_516608,plain,
product(e_5,e_1,e_3),
inference(resolution,[status(thm)],[c_498494,c_516600]) ).
tff(c_517479,plain,
! [X_5171] :
( equalish(e_5,X_5171)
| ~ next(X_5171,e_3)
| product(X_5171,e_1,e_2)
| product(X_5171,e_1,e_1)
| ~ group_element(X_5171) ),
inference(resolution,[status(thm)],[c_516608,c_314]) ).
tff(c_517513,plain,
( equalish(e_5,e_2)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_517479,c_1484]) ).
tff(c_517568,plain,
( equalish(e_5,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_517513]) ).
tff(c_517570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_98,c_517568]) ).
tff(c_517571,plain,
product(e_1,e_6,e_2),
inference(splitRight,[status(thm)],[c_516427]) ).
tff(c_517725,plain,
! [X_5175] :
( product(X_5175,e_1,e_2)
| ~ product(X_5175,e_6,e_1) ),
inference(resolution,[status(thm)],[c_517571,c_124]) ).
tff(c_517733,plain,
product(e_5,e_1,e_2),
inference(resolution,[status(thm)],[c_498494,c_517725]) ).
tff(c_518133,plain,
! [X_5183] :
( product(X_5183,e_5,e_2)
| ~ product(X_5183,e_1,e_5) ),
inference(resolution,[status(thm)],[c_517733,c_124]) ).
tff(c_518907,plain,
! [X_5202,X_5203] :
( product(X_5202,X_5203,e_2)
| ~ product(X_5202,e_5,X_5203)
| ~ product(X_5203,e_1,e_5) ),
inference(resolution,[status(thm)],[c_518133,c_124]) ).
tff(c_518945,plain,
( product(e_1,e_4,e_2)
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[c_515658,c_518907]) ).
tff(c_518975,plain,
~ product(e_4,e_1,e_5),
inference(splitLeft,[status(thm)],[c_518945]) ).
tff(c_515786,plain,
! [X_5134] :
( product(X_5134,e_1,e_4)
| ~ product(X_5134,e_5,e_1) ),
inference(resolution,[status(thm)],[c_515658,c_124]) ).
tff(c_515790,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_498695,c_515786]) ).
tff(c_515877,plain,
! [X_18] :
( product(X_18,e_6,e_4)
| ~ product(X_18,e_1,e_6) ),
inference(resolution,[status(thm)],[c_515790,c_124]) ).
tff(c_516068,plain,
! [X_5138] :
( product(X_5138,e_6,e_4)
| ~ product(X_5138,e_1,e_6) ),
inference(resolution,[status(thm)],[c_515790,c_124]) ).
tff(c_518821,plain,
! [X_5200,X_5201] :
( product(X_5200,X_5201,e_4)
| ~ product(X_5200,e_6,X_5201)
| ~ product(X_5201,e_1,e_6) ),
inference(resolution,[status(thm)],[c_516068,c_124]) ).
tff(c_518864,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_1,e_6)
| ~ product(X_18,e_1,e_6) ),
inference(resolution,[status(thm)],[c_515877,c_518821]) ).
tff(c_519170,plain,
~ product(e_4,e_1,e_6),
inference(splitLeft,[status(thm)],[c_518864]) ).
tff(c_519173,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_519170]) ).
tff(c_519176,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_44,c_519173]) ).
tff(c_519177,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_518975,c_519176]) ).
tff(c_521046,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_519177]) ).
tff(c_521091,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_521046,c_2268]) ).
tff(c_521167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_521091]) ).
tff(c_521168,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_519177]) ).
tff(c_521348,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_521168]) ).
tff(c_515880,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_515790,c_122]) ).
tff(c_521365,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_521348,c_515880]) ).
tff(c_521435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_521365]) ).
tff(c_521436,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_521168]) ).
tff(c_521445,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_521436]) ).
tff(c_517756,plain,
( product(e_5,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_517733,c_311]) ).
tff(c_517807,plain,
( product(e_5,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_517756]) ).
tff(c_517808,plain,
product(e_5,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_517807]) ).
tff(c_518863,plain,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_1,e_6) ),
inference(resolution,[status(thm)],[c_517571,c_518821]) ).
tff(c_518899,plain,
~ product(e_2,e_1,e_6),
inference(splitLeft,[status(thm)],[c_518863]) ).
tff(c_518902,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_518899]) ).
tff(c_518905,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_518902]) ).
tff(c_518906,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_518905]) ).
tff(c_519178,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_518906]) ).
tff(c_519489,plain,
! [X_5209] :
( product(X_5209,e_2,e_3)
| ~ product(X_5209,e_1,e_2) ),
inference(resolution,[status(thm)],[c_519178,c_124]) ).
tff(c_519847,plain,
! [W_5217,X_5218] :
( equalish(W_5217,X_5218)
| ~ product(W_5217,e_2,e_3)
| ~ product(X_5218,e_1,e_2) ),
inference(resolution,[status(thm)],[c_519489,c_122]) ).
tff(c_519855,plain,
! [X_5218] :
( equalish(e_5,X_5218)
| ~ product(X_5218,e_1,e_2) ),
inference(resolution,[status(thm)],[c_517808,c_519847]) ).
tff(c_521458,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_521445,c_519855]) ).
tff(c_521523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_521458]) ).
tff(c_521524,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_521436]) ).
tff(c_519278,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_519178,c_122]) ).
tff(c_521549,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_521524,c_519278]) ).
tff(c_521620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_521549]) ).
tff(c_521622,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_518906]) ).
tff(c_521625,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_521622]) ).
tff(c_521628,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_521625]) ).
tff(c_521630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_521628]) ).
tff(c_521632,plain,
product(e_4,e_1,e_6),
inference(splitRight,[status(thm)],[c_518864]) ).
tff(c_521748,plain,
~ next(e_4,e_5),
inference(resolution,[status(thm)],[c_521632,c_159]) ).
tff(c_521807,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_521748]) ).
tff(c_521808,plain,
product(e_1,e_4,e_2),
inference(splitRight,[status(thm)],[c_518945]) ).
tff(c_517612,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_1,W_11,e_2) ),
inference(resolution,[status(thm)],[c_517571,c_120]) ).
tff(c_521814,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_521808,c_517612]) ).
tff(c_521834,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_521814]) ).
tff(c_521835,plain,
product(e_1,e_5,e_3),
inference(splitRight,[status(thm)],[c_515656]) ).
tff(c_521962,plain,
! [X_5252] :
( product(X_5252,e_1,e_3)
| ~ product(X_5252,e_5,e_1) ),
inference(resolution,[status(thm)],[c_521835,c_124]) ).
tff(c_521966,plain,
product(e_6,e_1,e_3),
inference(resolution,[status(thm)],[c_498695,c_521962]) ).
tff(c_522561,plain,
! [X_5270] :
( equalish(e_6,X_5270)
| ~ next(X_5270,e_3)
| product(X_5270,e_1,e_2)
| product(X_5270,e_1,e_1)
| ~ group_element(X_5270) ),
inference(resolution,[status(thm)],[c_521966,c_314]) ).
tff(c_522591,plain,
( equalish(e_6,e_2)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_522561,c_1484]) ).
tff(c_522642,plain,
( equalish(e_6,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_522591]) ).
tff(c_522644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_108,c_522642]) ).
tff(c_522645,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_5)
| product(e_6,e_5,e_6) ),
inference(splitRight,[status(thm)],[c_497781]) ).
tff(c_522647,plain,
product(e_6,e_5,e_6),
inference(splitLeft,[status(thm)],[c_522645]) ).
tff(c_522784,plain,
! [X_5274] :
( product(X_5274,e_6,e_6)
| ~ product(X_5274,e_5,e_6) ),
inference(resolution,[status(thm)],[c_522647,c_124]) ).
tff(c_522678,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_6) ),
inference(resolution,[status(thm)],[c_522647,c_120]) ).
tff(c_522788,plain,
( equalish(e_6,e_5)
| ~ product(e_6,e_5,e_6) ),
inference(resolution,[status(thm)],[c_522784,c_522678]) ).
tff(c_522817,plain,
equalish(e_6,e_5),
inference(demodulation,[status(thm),theory(equality)],[c_522647,c_522788]) ).
tff(c_522819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_522817]) ).
tff(c_522820,plain,
( product(e_5,e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_522645]) ).
tff(c_522828,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_522820]) ).
tff(c_522957,plain,
! [X_5278] :
( product(X_5278,e_5,e_2)
| ~ product(X_5278,e_6,e_5) ),
inference(resolution,[status(thm)],[c_522828,c_124]) ).
tff(c_522999,plain,
product(e_6,e_5,e_2),
inference(resolution,[status(thm)],[c_497640,c_522957]) ).
tff(c_533579,plain,
product(e_5,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1923]) ).
tff(c_533666,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_533579,c_2268]) ).
tff(c_533794,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_533666]) ).
tff(c_533796,plain,
~ product(e_5,e_1,e_1),
inference(splitRight,[status(thm)],[c_1923]) ).
tff(c_533795,plain,
! [X_139] :
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_1923]) ).
tff(c_534074,plain,
product(e_5,e_1,e_5),
inference(splitLeft,[status(thm)],[c_533795]) ).
tff(c_534579,plain,
! [X_5526] :
( product(X_5526,e_5,e_5)
| ~ product(X_5526,e_1,e_5) ),
inference(resolution,[status(thm)],[c_534074,c_124]) ).
tff(c_534259,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_534074,c_120]) ).
tff(c_534583,plain,
( equalish(e_5,e_1)
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[c_534579,c_534259]) ).
tff(c_534624,plain,
equalish(e_5,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_534074,c_534583]) ).
tff(c_534626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_534624]) ).
tff(c_534627,plain,
! [X_139] :
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_533795]) ).
tff(c_534679,plain,
product(e_5,e_1,e_2),
inference(splitLeft,[status(thm)],[c_534627]) ).
tff(c_522855,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_5,W_11,e_2) ),
inference(resolution,[status(thm)],[c_522828,c_120]) ).
tff(c_534738,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_534679,c_522855]) ).
tff(c_534856,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_534738]) ).
tff(c_534858,plain,
~ product(e_5,e_1,e_2),
inference(splitRight,[status(thm)],[c_534627]) ).
tff(c_523143,plain,
! [X_5282] :
( product(X_5282,e_6,e_2)
| ~ product(X_5282,e_5,e_6) ),
inference(resolution,[status(thm)],[c_522999,c_124]) ).
tff(c_523339,plain,
! [X_5291,X_5292] :
( product(X_5291,X_5292,e_2)
| ~ product(X_5291,e_6,X_5292)
| ~ product(X_5292,e_5,e_6) ),
inference(resolution,[status(thm)],[c_523143,c_124]) ).
tff(c_523378,plain,
( product(e_5,e_2,e_2)
| ~ product(e_2,e_5,e_6) ),
inference(resolution,[status(thm)],[c_522828,c_523339]) ).
tff(c_523412,plain,
~ product(e_2,e_5,e_6),
inference(splitLeft,[status(thm)],[c_523378]) ).
tff(c_523415,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_523412]) ).
tff(c_523418,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_52,c_523415]) ).
tff(c_523429,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_523418]) ).
tff(c_523572,plain,
! [X_5297] :
( product(X_5297,e_2,e_1)
| ~ product(X_5297,e_5,e_2) ),
inference(resolution,[status(thm)],[c_523429,c_124]) ).
tff(c_523576,plain,
product(e_6,e_2,e_1),
inference(resolution,[status(thm)],[c_522999,c_523572]) ).
tff(c_523755,plain,
! [X_5301] :
( product(X_5301,e_6,e_1)
| ~ product(X_5301,e_2,e_6) ),
inference(resolution,[status(thm)],[c_523576,c_124]) ).
tff(c_523196,plain,
! [X_18,X_5282] :
( product(X_18,X_5282,e_2)
| ~ product(X_18,e_6,X_5282)
| ~ product(X_5282,e_5,e_6) ),
inference(resolution,[status(thm)],[c_523143,c_124]) ).
tff(c_523810,plain,
! [X_5301] :
( product(X_5301,e_1,e_2)
| ~ product(e_1,e_5,e_6)
| ~ product(X_5301,e_2,e_6) ),
inference(resolution,[status(thm)],[c_523755,c_523196]) ).
tff(c_524100,plain,
~ product(e_1,e_5,e_6),
inference(splitLeft,[status(thm)],[c_523810]) ).
tff(c_524103,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_524100]) ).
tff(c_524106,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_52,c_524103]) ).
tff(c_524114,plain,
product(e_1,e_5,e_1),
inference(splitLeft,[status(thm)],[c_524106]) ).
tff(c_523464,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_523429,c_122]) ).
tff(c_524119,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_524114,c_523464]) ).
tff(c_524145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_524119]) ).
tff(c_524146,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_524106]) ).
tff(c_524148,plain,
product(e_1,e_5,e_5),
inference(splitLeft,[status(thm)],[c_524146]) ).
tff(c_524362,plain,
! [X_5318] :
( product(X_5318,e_1,e_5)
| ~ product(X_5318,e_5,e_1) ),
inference(resolution,[status(thm)],[c_524148,c_124]) ).
tff(c_524366,plain,
product(e_2,e_1,e_5),
inference(resolution,[status(thm)],[c_523429,c_524362]) ).
tff(c_316,plain,
! [W_8,X_62] :
( equalish(W_8,e_3)
| ~ product(X_62,e_1,W_8)
| ~ next(X_62,e_3)
| product(X_62,e_1,e_2)
| product(X_62,e_1,e_1)
| ~ group_element(X_62) ),
inference(resolution,[status(thm)],[c_296,c_118]) ).
tff(c_524387,plain,
( equalish(e_5,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_524366,c_316]) ).
tff(c_524444,plain,
( equalish(e_5,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_524387]) ).
tff(c_524446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_100,c_524444]) ).
tff(c_524447,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_524146]) ).
tff(c_524491,plain,
product(e_1,e_5,e_2),
inference(splitLeft,[status(thm)],[c_524447]) ).
tff(c_523043,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_522999,c_122]) ).
tff(c_524506,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_524491,c_523043]) ).
tff(c_524527,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_524506]) ).
tff(c_524528,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_524447]) ).
tff(c_524530,plain,
product(e_1,e_5,e_4),
inference(splitLeft,[status(thm)],[c_524528]) ).
tff(c_524658,plain,
! [X_5324] :
( product(X_5324,e_1,e_4)
| ~ product(X_5324,e_5,e_1) ),
inference(resolution,[status(thm)],[c_524530,c_124]) ).
tff(c_524662,plain,
product(e_2,e_1,e_4),
inference(resolution,[status(thm)],[c_523429,c_524658]) ).
tff(c_524750,plain,
( equalish(e_4,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_524662,c_316]) ).
tff(c_524808,plain,
( equalish(e_4,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_524750]) ).
tff(c_524810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_90,c_524808]) ).
tff(c_524811,plain,
product(e_1,e_5,e_3),
inference(splitRight,[status(thm)],[c_524528]) ).
tff(c_524938,plain,
! [X_5328] :
( product(X_5328,e_1,e_3)
| ~ product(X_5328,e_5,e_1) ),
inference(resolution,[status(thm)],[c_524811,c_124]) ).
tff(c_524942,plain,
product(e_2,e_1,e_3),
inference(resolution,[status(thm)],[c_523429,c_524938]) ).
tff(c_525198,plain,
! [X_5332] :
( product(X_5332,e_2,e_3)
| ~ product(X_5332,e_1,e_2) ),
inference(resolution,[status(thm)],[c_524942,c_124]) ).
tff(c_523624,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_6,e_2,W_8) ),
inference(resolution,[status(thm)],[c_523576,c_118]) ).
tff(c_525210,plain,
( equalish(e_3,e_1)
| ~ product(e_6,e_1,e_2) ),
inference(resolution,[status(thm)],[c_525198,c_523624]) ).
tff(c_525241,plain,
~ product(e_6,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_76,c_525210]) ).
tff(c_534857,plain,
! [X_139] :
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_534627]) ).
tff(c_535241,plain,
product(e_5,e_1,e_4),
inference(splitLeft,[status(thm)],[c_534857]) ).
tff(c_535460,plain,
! [W_5542] :
( equalish(W_5542,e_5)
| ~ product(W_5542,e_1,e_4) ),
inference(resolution,[status(thm)],[c_535241,c_122]) ).
tff(c_535467,plain,
( equalish(e_6,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_497819,c_535460]) ).
tff(c_535475,plain,
( equalish(e_6,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_535467]) ).
tff(c_535476,plain,
( product(e_6,e_1,e_3)
| product(e_6,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_525241,c_64,c_114,c_535475]) ).
tff(c_535891,plain,
product(e_6,e_1,e_1),
inference(splitLeft,[status(thm)],[c_535476]) ).
tff(c_523622,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_6,W_11,e_1) ),
inference(resolution,[status(thm)],[c_523576,c_120]) ).
tff(c_535964,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_535891,c_523622]) ).
tff(c_536107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_535964]) ).
tff(c_536108,plain,
product(e_6,e_1,e_3),
inference(splitRight,[status(thm)],[c_535476]) ).
tff(c_525037,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_524942,c_122]) ).
tff(c_536274,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_536108,c_525037]) ).
tff(c_536397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_536274]) ).
tff(c_536398,plain,
! [X_139] :
( product(e_5,e_1,e_3)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_534857]) ).
tff(c_536580,plain,
product(e_5,e_1,e_3),
inference(splitLeft,[status(thm)],[c_536398]) ).
tff(c_522857,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_5,e_6,W_8) ),
inference(resolution,[status(thm)],[c_522828,c_118]) ).
tff(c_523772,plain,
( equalish(e_1,e_2)
| ~ product(e_5,e_2,e_6) ),
inference(resolution,[status(thm)],[c_523755,c_522857]) ).
tff(c_523816,plain,
~ product(e_5,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_56,c_523772]) ).
tff(c_523850,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_523816]) ).
tff(c_523853,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_46,c_523850]) ).
tff(c_526768,plain,
product(e_5,e_2,e_1),
inference(splitLeft,[status(thm)],[c_523853]) ).
tff(c_523623,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_523576,c_122]) ).
tff(c_526784,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_526768,c_523623]) ).
tff(c_526824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_526784]) ).
tff(c_526825,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_523853]) ).
tff(c_526827,plain,
product(e_5,e_2,e_5),
inference(splitLeft,[status(thm)],[c_526825]) ).
tff(c_527125,plain,
! [X_5386] :
( product(X_5386,e_5,e_5)
| ~ product(X_5386,e_2,e_5) ),
inference(resolution,[status(thm)],[c_526827,c_124]) ).
tff(c_526890,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_526827,c_120]) ).
tff(c_527129,plain,
( equalish(e_5,e_2)
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[c_527125,c_526890]) ).
tff(c_527165,plain,
equalish(e_5,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_526827,c_527129]) ).
tff(c_527167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_527165]) ).
tff(c_527168,plain,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_526825]) ).
tff(c_527212,plain,
product(e_5,e_2,e_2),
inference(splitLeft,[status(thm)],[c_527168]) ).
tff(c_527232,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_527212,c_522855]) ).
tff(c_527278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_527232]) ).
tff(c_527279,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_527168]) ).
tff(c_527417,plain,
product(e_5,e_2,e_4),
inference(splitLeft,[status(thm)],[c_527279]) ).
tff(c_527630,plain,
! [X_5392] :
( product(X_5392,e_5,e_4)
| ~ product(X_5392,e_2,e_5) ),
inference(resolution,[status(thm)],[c_527417,c_124]) ).
tff(c_524812,plain,
~ product(e_1,e_5,e_4),
inference(splitRight,[status(thm)],[c_524528]) ).
tff(c_527669,plain,
~ product(e_1,e_2,e_5),
inference(resolution,[status(thm)],[c_527630,c_524812]) ).
tff(c_523791,plain,
( equalish(e_6,e_1)
| ~ product(e_1,e_2,e_6) ),
inference(resolution,[status(thm)],[c_523755,c_2267]) ).
tff(c_523830,plain,
~ product(e_1,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_106,c_523791]) ).
tff(c_523862,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_523830]) ).
tff(c_523865,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_523862]) ).
tff(c_528525,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_527669,c_523865]) ).
tff(c_528526,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_528525]) ).
tff(c_528680,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_528526,c_523623]) ).
tff(c_528726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_528680]) ).
tff(c_528727,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_528525]) ).
tff(c_528729,plain,
product(e_1,e_2,e_4),
inference(splitLeft,[status(thm)],[c_528727]) ).
tff(c_527480,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_4) ),
inference(resolution,[status(thm)],[c_527417,c_122]) ).
tff(c_528872,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_528729,c_527480]) ).
tff(c_528912,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_528872]) ).
tff(c_528913,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_528727]) ).
tff(c_528915,plain,
product(e_1,e_2,e_2),
inference(splitLeft,[status(thm)],[c_528913]) ).
tff(c_523465,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_2,e_5,W_8) ),
inference(resolution,[status(thm)],[c_523429,c_118]) ).
tff(c_527645,plain,
( equalish(e_4,e_1)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[c_527630,c_523465]) ).
tff(c_527672,plain,
~ product(e_2,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_86,c_527645]) ).
tff(c_523463,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_1) ),
inference(resolution,[status(thm)],[c_523429,c_120]) ).
tff(c_523763,plain,
( equalish(e_6,e_5)
| ~ product(e_2,e_2,e_6) ),
inference(resolution,[status(thm)],[c_523755,c_523463]) ).
tff(c_523809,plain,
~ product(e_2,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_114,c_523763]) ).
tff(c_523856,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_523809]) ).
tff(c_523859,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_523856]) ).
tff(c_528096,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_527672,c_523859]) ).
tff(c_528097,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_528096]) ).
tff(c_528113,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_528097,c_523623]) ).
tff(c_528156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_528113]) ).
tff(c_528157,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_528096]) ).
tff(c_528159,plain,
product(e_2,e_2,e_4),
inference(splitLeft,[status(thm)],[c_528157]) ).
tff(c_528164,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_528159,c_527480]) ).
tff(c_528200,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_528164]) ).
tff(c_528201,plain,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_528157]) ).
tff(c_528203,plain,
product(e_2,e_2,e_2),
inference(splitLeft,[status(thm)],[c_528201]) ).
tff(c_528389,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_528203,c_122]) ).
tff(c_528918,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_528915,c_528389]) ).
tff(c_528960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_528918]) ).
tff(c_528961,plain,
product(e_1,e_2,e_3),
inference(splitRight,[status(thm)],[c_528913]) ).
tff(c_524845,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_1,W_11,e_3) ),
inference(resolution,[status(thm)],[c_524811,c_120]) ).
tff(c_529126,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_528961,c_524845]) ).
tff(c_529181,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_529126]) ).
tff(c_529182,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_528201]) ).
tff(c_525035,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_2,W_11,e_3) ),
inference(resolution,[status(thm)],[c_524942,c_120]) ).
tff(c_529209,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_529182,c_525035]) ).
tff(c_529260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_529209]) ).
tff(c_529261,plain,
product(e_5,e_2,e_3),
inference(splitRight,[status(thm)],[c_527279]) ).
tff(c_529355,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_5,W_11,e_3) ),
inference(resolution,[status(thm)],[c_529261,c_120]) ).
tff(c_536617,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_536580,c_529355]) ).
tff(c_536735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_536617]) ).
tff(c_536737,plain,
~ product(e_5,e_1,e_3),
inference(splitRight,[status(thm)],[c_536398]) ).
tff(c_536399,plain,
~ product(e_5,e_1,e_4),
inference(splitRight,[status(thm)],[c_534857]) ).
tff(c_534628,plain,
~ product(e_5,e_1,e_5),
inference(splitRight,[status(thm)],[c_533795]) ).
tff(c_538213,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_523865]) ).
tff(c_1739,plain,
! [X_136] :
( product(X_136,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2)
| ~ next(X_136,e_2)
| product(X_136,e_1,e_1)
| ~ group_element(X_136) ),
inference(resolution,[status(thm)],[c_1732,c_311]) ).
tff(c_1773,plain,
! [X_136] :
( product(X_136,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ next(X_136,e_2)
| product(X_136,e_1,e_1)
| ~ group_element(X_136) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1739]) ).
tff(c_1774,plain,
! [X_136] :
( product(X_136,e_2,e_3)
| ~ next(X_136,e_2)
| product(X_136,e_1,e_1)
| ~ group_element(X_136) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1773]) ).
tff(c_529492,plain,
! [W_5414] :
( equalish(W_5414,e_5)
| ~ product(W_5414,e_2,e_3) ),
inference(resolution,[status(thm)],[c_529261,c_122]) ).
tff(c_530281,plain,
! [X_5432] :
( equalish(X_5432,e_5)
| ~ next(X_5432,e_2)
| product(X_5432,e_1,e_1)
| ~ group_element(X_5432) ),
inference(resolution,[status(thm)],[c_1774,c_529492]) ).
tff(c_530434,plain,
! [W_11,X_5432] :
( equalish(W_11,e_1)
| ~ product(X_5432,W_11,e_1)
| equalish(X_5432,e_5)
| ~ next(X_5432,e_2)
| ~ group_element(X_5432) ),
inference(resolution,[status(thm)],[c_530281,c_120]) ).
tff(c_538231,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_5)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_538213,c_530434]) ).
tff(c_538298,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_538231]) ).
tff(c_538300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_66,c_538298]) ).
tff(c_538301,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_523865]) ).
tff(c_538303,plain,
product(e_1,e_2,e_5),
inference(splitLeft,[status(thm)],[c_538301]) ).
tff(c_538685,plain,
! [X_5583] :
( product(X_5583,e_1,e_5)
| ~ product(X_5583,e_2,e_1) ),
inference(resolution,[status(thm)],[c_538303,c_124]) ).
tff(c_538689,plain,
product(e_6,e_1,e_5),
inference(resolution,[status(thm)],[c_523576,c_538685]) ).
tff(c_538738,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_538689,c_497787]) ).
tff(c_538860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_538738]) ).
tff(c_538861,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_538301]) ).
tff(c_538906,plain,
product(e_1,e_2,e_2),
inference(splitLeft,[status(thm)],[c_538861]) ).
tff(c_529540,plain,
! [X_5417] :
( product(X_5417,e_5,e_3)
| ~ product(X_5417,e_2,e_5) ),
inference(resolution,[status(thm)],[c_529261,c_124]) ).
tff(c_529569,plain,
( equalish(e_3,e_1)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[c_529540,c_523465]) ).
tff(c_529611,plain,
~ product(e_2,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_76,c_529569]) ).
tff(c_536939,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_529611,c_523859]) ).
tff(c_536940,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_536939]) ).
tff(c_536974,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_536940,c_523623]) ).
tff(c_537041,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_536974]) ).
tff(c_537042,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_536939]) ).
tff(c_537153,plain,
product(e_2,e_2,e_4),
inference(splitLeft,[status(thm)],[c_537042]) ).
tff(c_537217,plain,
! [W_5559] :
( equalish(W_5559,e_2)
| ~ product(e_2,W_5559,e_4) ),
inference(resolution,[status(thm)],[c_537153,c_120]) ).
tff(c_537224,plain,
( equalish(e_6,e_2)
| equalish(e_2,e_6)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_498264,c_537217]) ).
tff(c_537233,plain,
( equalish(e_6,e_2)
| equalish(e_2,e_6)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_537224]) ).
tff(c_537234,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_74,c_108,c_537233]) ).
tff(c_537681,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_537234]) ).
tff(c_537711,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_537681,c_523463]) ).
tff(c_537768,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_537711]) ).
tff(c_537769,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_537234]) ).
tff(c_537775,plain,
product(e_2,e_6,e_3),
inference(splitLeft,[status(thm)],[c_537769]) ).
tff(c_537786,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_537775,c_525035]) ).
tff(c_537828,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_537786]) ).
tff(c_537829,plain,
product(e_2,e_6,e_2),
inference(splitRight,[status(thm)],[c_537769]) ).
tff(c_522856,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_6,e_2) ),
inference(resolution,[status(thm)],[c_522828,c_122]) ).
tff(c_537852,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_537829,c_522856]) ).
tff(c_537888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_537852]) ).
tff(c_537889,plain,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_537042]) ).
tff(c_537891,plain,
product(e_2,e_2,e_2),
inference(splitLeft,[status(thm)],[c_537889]) ).
tff(c_538077,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_537891,c_122]) ).
tff(c_538909,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_538906,c_538077]) ).
tff(c_538951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_538909]) ).
tff(c_538952,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_538861]) ).
tff(c_539060,plain,
product(e_1,e_2,e_4),
inference(splitLeft,[status(thm)],[c_538952]) ).
tff(c_539265,plain,
! [X_5589] :
( product(X_5589,e_1,e_4)
| ~ product(X_5589,e_2,e_1) ),
inference(resolution,[status(thm)],[c_539060,c_124]) ).
tff(c_539269,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_523576,c_539265]) ).
tff(c_539728,plain,
! [X_5593] :
( product(X_5593,e_6,e_4)
| ~ product(X_5593,e_1,e_6) ),
inference(resolution,[status(thm)],[c_539269,c_124]) ).
tff(c_539750,plain,
( equalish(e_4,e_2)
| ~ product(e_5,e_1,e_6) ),
inference(resolution,[status(thm)],[c_539728,c_522857]) ).
tff(c_539785,plain,
~ product(e_5,e_1,e_6),
inference(negUnitSimplification,[status(thm)],[c_88,c_539750]) ).
tff(c_539820,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_539785]) ).
tff(c_539823,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_44,c_539820]) ).
tff(c_539825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_533796,c_534858,c_536737,c_536399,c_534628,c_539823]) ).
tff(c_539826,plain,
product(e_1,e_2,e_3),
inference(splitRight,[status(thm)],[c_538952]) ).
tff(c_529356,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_3) ),
inference(resolution,[status(thm)],[c_529261,c_122]) ).
tff(c_539836,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_539826,c_529356]) ).
tff(c_539899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_539836]) ).
tff(c_539900,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_537889]) ).
tff(c_540008,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_539900,c_529356]) ).
tff(c_540067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_540008]) ).
tff(c_540069,plain,
product(e_1,e_5,e_6),
inference(splitRight,[status(thm)],[c_523810]) ).
tff(c_523226,plain,
! [W_5286,X_5287] :
( equalish(W_5286,X_5287)
| ~ product(W_5286,e_6,e_2)
| ~ product(X_5287,e_5,e_6) ),
inference(resolution,[status(thm)],[c_523143,c_122]) ).
tff(c_523232,plain,
! [X_5287] :
( equalish(e_5,X_5287)
| ~ product(X_5287,e_5,e_6) ),
inference(resolution,[status(thm)],[c_522828,c_523226]) ).
tff(c_540078,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_540069,c_523232]) ).
tff(c_540105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_540078]) ).
tff(c_540106,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_523418]) ).
tff(c_540108,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_540106]) ).
tff(c_540315,plain,
! [X_5599] :
( product(X_5599,e_2,e_5)
| ~ product(X_5599,e_5,e_2) ),
inference(resolution,[status(thm)],[c_540108,c_124]) ).
tff(c_540319,plain,
product(e_6,e_2,e_5),
inference(resolution,[status(thm)],[c_522999,c_540315]) ).
tff(c_540322,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_540319,c_497787]) ).
tff(c_540343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_540322]) ).
tff(c_540344,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_540106]) ).
tff(c_540388,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_540344]) ).
tff(c_540393,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_540388,c_523043]) ).
tff(c_540413,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_540393]) ).
tff(c_540414,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_540344]) ).
tff(c_540416,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_540414]) ).
tff(c_540545,plain,
! [X_5603] :
( product(X_5603,e_2,e_4)
| ~ product(X_5603,e_5,e_2) ),
inference(resolution,[status(thm)],[c_540416,c_124]) ).
tff(c_540549,plain,
product(e_6,e_2,e_4),
inference(resolution,[status(thm)],[c_522999,c_540545]) ).
tff(c_540447,plain,
! [W_5600] :
( equalish(W_5600,e_5)
| ~ product(e_2,W_5600,e_4) ),
inference(resolution,[status(thm)],[c_540416,c_120]) ).
tff(c_540454,plain,
( equalish(e_6,e_5)
| equalish(e_2,e_6)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_498264,c_540447]) ).
tff(c_540463,plain,
( equalish(e_6,e_5)
| equalish(e_2,e_6)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_540454]) ).
tff(c_540464,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_74,c_114,c_540463]) ).
tff(c_540951,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_540464]) ).
tff(c_541238,plain,
! [X_5620] :
( product(X_5620,e_2,e_1)
| ~ product(X_5620,e_6,e_2) ),
inference(resolution,[status(thm)],[c_540951,c_124]) ).
tff(c_541246,plain,
product(e_5,e_2,e_1),
inference(resolution,[status(thm)],[c_522828,c_541238]) ).
tff(c_541417,plain,
! [X_5625] :
( product(X_5625,e_5,e_1)
| ~ product(X_5625,e_2,e_5) ),
inference(resolution,[status(thm)],[c_541246,c_124]) ).
tff(c_541445,plain,
( equalish(e_5,e_1)
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[c_541417,c_2267]) ).
tff(c_541479,plain,
~ product(e_1,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_96,c_541445]) ).
tff(c_540717,plain,
! [X_5607] :
( product(X_5607,e_6,e_4)
| ~ product(X_5607,e_2,e_6) ),
inference(resolution,[status(thm)],[c_540549,c_124]) ).
tff(c_541858,plain,
! [X_5635,X_5636] :
( product(X_5635,X_5636,e_4)
| ~ product(X_5635,e_6,X_5636)
| ~ product(X_5636,e_2,e_6) ),
inference(resolution,[status(thm)],[c_540717,c_124]) ).
tff(c_541900,plain,
( product(e_2,e_1,e_4)
| ~ product(e_1,e_2,e_6) ),
inference(resolution,[status(thm)],[c_540951,c_541858]) ).
tff(c_541936,plain,
~ product(e_1,e_2,e_6),
inference(splitLeft,[status(thm)],[c_541900]) ).
tff(c_541939,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_541936]) ).
tff(c_541942,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_541939]) ).
tff(c_541943,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_541479,c_541942]) ).
tff(c_544220,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_541943]) ).
tff(c_541944,plain,
! [X_5637,X_5638] :
( product(X_5637,X_5638,e_1)
| ~ product(X_5637,e_5,X_5638)
| ~ product(X_5638,e_2,e_5) ),
inference(resolution,[status(thm)],[c_541417,c_124]) ).
tff(c_541979,plain,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[c_540416,c_541944]) ).
tff(c_542009,plain,
~ product(e_4,e_2,e_5),
inference(splitLeft,[status(thm)],[c_541979]) ).
tff(c_540587,plain,
! [X_18] :
( product(X_18,e_6,e_4)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_540549,c_124]) ).
tff(c_541901,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_2,e_6)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_540587,c_541858]) ).
tff(c_542053,plain,
~ product(e_4,e_2,e_6),
inference(splitLeft,[status(thm)],[c_541901]) ).
tff(c_542056,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_542053]) ).
tff(c_542059,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_46,c_542056]) ).
tff(c_542060,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_542009,c_542059]) ).
tff(c_542112,plain,
product(e_4,e_2,e_1),
inference(splitLeft,[status(thm)],[c_542060]) ).
tff(c_541293,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_541246,c_122]) ).
tff(c_542117,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_542112,c_541293]) ).
tff(c_542145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_542117]) ).
tff(c_542146,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_542060]) ).
tff(c_542148,plain,
product(e_4,e_2,e_4),
inference(splitLeft,[status(thm)],[c_542146]) ).
tff(c_540589,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_4) ),
inference(resolution,[status(thm)],[c_540549,c_122]) ).
tff(c_542153,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_542148,c_540589]) ).
tff(c_542178,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_542153]) ).
tff(c_542179,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_542146]) ).
tff(c_542181,plain,
product(e_4,e_2,e_2),
inference(splitLeft,[status(thm)],[c_542179]) ).
tff(c_542325,plain,
! [X_5644] :
( product(X_5644,e_4,e_2)
| ~ product(X_5644,e_2,e_4) ),
inference(resolution,[status(thm)],[c_542181,c_124]) ).
tff(c_523042,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_2) ),
inference(resolution,[status(thm)],[c_522999,c_120]) ).
tff(c_542335,plain,
( equalish(e_4,e_5)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_542325,c_523042]) ).
tff(c_542361,plain,
equalish(e_4,e_5),
inference(demodulation,[status(thm),theory(equality)],[c_540549,c_542335]) ).
tff(c_542363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_542361]) ).
tff(c_542364,plain,
product(e_4,e_2,e_3),
inference(splitRight,[status(thm)],[c_542179]) ).
tff(c_542504,plain,
! [W_5647] :
( equalish(W_5647,e_4)
| ~ product(W_5647,e_2,e_3) ),
inference(resolution,[status(thm)],[c_542364,c_122]) ).
tff(c_542952,plain,
! [X_5662] :
( equalish(X_5662,e_4)
| ~ next(X_5662,e_2)
| product(X_5662,e_1,e_1)
| ~ group_element(X_5662) ),
inference(resolution,[status(thm)],[c_1774,c_542504]) ).
tff(c_543081,plain,
! [W_11,X_5662] :
( equalish(W_11,e_1)
| ~ product(X_5662,W_11,e_1)
| equalish(X_5662,e_4)
| ~ next(X_5662,e_2)
| ~ group_element(X_5662) ),
inference(resolution,[status(thm)],[c_542952,c_120]) ).
tff(c_544223,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_4)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_544220,c_543081]) ).
tff(c_544259,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_544223]) ).
tff(c_544261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_66,c_544259]) ).
tff(c_544262,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_541943]) ).
tff(c_544264,plain,
product(e_1,e_2,e_4),
inference(splitLeft,[status(thm)],[c_544262]) ).
tff(c_542514,plain,
! [X_5648] :
( product(X_5648,e_4,e_3)
| ~ product(X_5648,e_2,e_4) ),
inference(resolution,[status(thm)],[c_542364,c_124]) ).
tff(c_542624,plain,
! [W_5655,X_5656] :
( equalish(W_5655,e_3)
| ~ product(X_5656,e_4,W_5655)
| ~ product(X_5656,e_2,e_4) ),
inference(resolution,[status(thm)],[c_542514,c_118]) ).
tff(c_542635,plain,
( equalish(e_4,e_3)
| ~ product(e_6,e_2,e_4)
| equalish(e_4,e_6)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_497819,c_542624]) ).
tff(c_542672,plain,
( equalish(e_4,e_3)
| equalish(e_4,e_6)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_540549,c_542635]) ).
tff(c_542673,plain,
( product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_94,c_90,c_542672]) ).
tff(c_543144,plain,
product(e_6,e_4,e_1),
inference(splitLeft,[status(thm)],[c_542673]) ).
tff(c_542553,plain,
! [W_8,X_5648] :
( equalish(W_8,e_3)
| ~ product(X_5648,e_4,W_8)
| ~ product(X_5648,e_2,e_4) ),
inference(resolution,[status(thm)],[c_542514,c_118]) ).
tff(c_543149,plain,
( equalish(e_1,e_3)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_543144,c_542553]) ).
tff(c_543172,plain,
equalish(e_1,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_540549,c_543149]) ).
tff(c_543174,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_543172]) ).
tff(c_543175,plain,
( product(e_6,e_4,e_2)
| product(e_6,e_4,e_3) ),
inference(splitRight,[status(thm)],[c_542673]) ).
tff(c_543192,plain,
product(e_6,e_4,e_3),
inference(splitLeft,[status(thm)],[c_543175]) ).
tff(c_542552,plain,
! [W_14,X_5648] :
( equalish(W_14,X_5648)
| ~ product(W_14,e_4,e_3)
| ~ product(X_5648,e_2,e_4) ),
inference(resolution,[status(thm)],[c_542514,c_122]) ).
tff(c_543222,plain,
! [X_5648] :
( equalish(e_6,X_5648)
| ~ product(X_5648,e_2,e_4) ),
inference(resolution,[status(thm)],[c_543192,c_542552]) ).
tff(c_544267,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_544264,c_543222]) ).
tff(c_544298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_544267]) ).
tff(c_544299,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_544262]) ).
tff(c_544430,plain,
product(e_1,e_2,e_2),
inference(splitLeft,[status(thm)],[c_544299]) ).
tff(c_544686,plain,
! [X_5704] :
( product(X_5704,e_1,e_2)
| ~ product(X_5704,e_2,e_1) ),
inference(resolution,[status(thm)],[c_544430,c_124]) ).
tff(c_544690,plain,
product(e_5,e_1,e_2),
inference(resolution,[status(thm)],[c_541246,c_544686]) ).
tff(c_544707,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_544690,c_522855]) ).
tff(c_544772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_544707]) ).
tff(c_544773,plain,
product(e_1,e_2,e_3),
inference(splitRight,[status(thm)],[c_544299]) ).
tff(c_542412,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_2,e_3) ),
inference(resolution,[status(thm)],[c_542364,c_122]) ).
tff(c_544910,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_544773,c_542412]) ).
tff(c_544941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_544910]) ).
tff(c_544942,plain,
product(e_6,e_4,e_2),
inference(splitRight,[status(thm)],[c_543175]) ).
tff(c_544948,plain,
( equalish(e_2,e_3)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_544942,c_542553]) ).
tff(c_544971,plain,
equalish(e_2,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_540549,c_544948]) ).
tff(c_544973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_544971]) ).
tff(c_545118,plain,
! [X_5710] :
( product(X_5710,e_4,e_4)
| ~ product(X_5710,e_2,e_6) ),
inference(splitRight,[status(thm)],[c_541901]) ).
tff(c_540780,plain,
! [W_11,X_5607] :
( equalish(W_11,e_6)
| ~ product(X_5607,W_11,e_4)
| ~ product(X_5607,e_2,e_6) ),
inference(resolution,[status(thm)],[c_540717,c_120]) ).
tff(c_545120,plain,
! [X_5710] :
( equalish(e_4,e_6)
| ~ product(X_5710,e_2,e_6) ),
inference(resolution,[status(thm)],[c_545118,c_540780]) ).
tff(c_545145,plain,
! [X_5710] : ~ product(X_5710,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_94,c_545120]) ).
tff(c_544975,plain,
product(e_4,e_2,e_6),
inference(splitRight,[status(thm)],[c_541901]) ).
tff(c_545165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_545145,c_544975]) ).
tff(c_545166,plain,
product(e_2,e_4,e_1),
inference(splitRight,[status(thm)],[c_541979]) ).
tff(c_541000,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_1) ),
inference(resolution,[status(thm)],[c_540951,c_120]) ).
tff(c_545172,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_545166,c_541000]) ).
tff(c_545195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_545172]) ).
tff(c_545196,plain,
product(e_2,e_1,e_4),
inference(splitRight,[status(thm)],[c_541900]) ).
tff(c_540443,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_4) ),
inference(resolution,[status(thm)],[c_540416,c_120]) ).
tff(c_545204,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_545196,c_540443]) ).
tff(c_545258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_545204]) ).
tff(c_545259,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_540464]) ).
tff(c_545261,plain,
product(e_2,e_6,e_3),
inference(splitLeft,[status(thm)],[c_545259]) ).
tff(c_312,plain,
! [W_11,X_62] :
( equalish(W_11,e_1)
| ~ product(X_62,W_11,e_3)
| ~ next(X_62,e_3)
| product(X_62,e_1,e_2)
| product(X_62,e_1,e_1)
| ~ group_element(X_62) ),
inference(resolution,[status(thm)],[c_296,c_120]) ).
tff(c_545275,plain,
( equalish(e_6,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_545261,c_312]) ).
tff(c_545300,plain,
( equalish(e_6,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_545275]) ).
tff(c_545302,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_106,c_545300]) ).
tff(c_545303,plain,
product(e_2,e_6,e_2),
inference(splitRight,[status(thm)],[c_545259]) ).
tff(c_545414,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_545303,c_522856]) ).
tff(c_545440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_545414]) ).
tff(c_545441,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_540414]) ).
tff(c_545602,plain,
( equalish(e_5,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_545441,c_312]) ).
tff(c_545622,plain,
( equalish(e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_545602]) ).
tff(c_545624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_96,c_545622]) ).
tff(c_545625,plain,
product(e_5,e_2,e_2),
inference(splitRight,[status(thm)],[c_523378]) ).
tff(c_545631,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_545625,c_522855]) ).
tff(c_545657,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_545631]) ).
tff(c_545658,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_5) ),
inference(splitRight,[status(thm)],[c_522820]) ).
tff(c_545660,plain,
product(e_5,e_6,e_5),
inference(splitLeft,[status(thm)],[c_545658]) ).
tff(c_545663,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_545660,c_497788]) ).
tff(c_545679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_545663]) ).
tff(c_545680,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_545658]) ).
tff(c_545731,plain,
product(e_5,e_6,e_3),
inference(splitLeft,[status(thm)],[c_545680]) ).
tff(c_545874,plain,
! [X_5718] :
( product(X_5718,e_5,e_3)
| ~ product(X_5718,e_6,e_5) ),
inference(resolution,[status(thm)],[c_545731,c_124]) ).
tff(c_545916,plain,
product(e_6,e_5,e_3),
inference(resolution,[status(thm)],[c_497640,c_545874]) ).
tff(c_546075,plain,
! [X_5722] :
( product(X_5722,e_6,e_3)
| ~ product(X_5722,e_5,e_6) ),
inference(resolution,[status(thm)],[c_545916,c_124]) ).
tff(c_546282,plain,
! [X_5731,X_5732] :
( product(X_5731,X_5732,e_3)
| ~ product(X_5731,e_6,X_5732)
| ~ product(X_5732,e_5,e_6) ),
inference(resolution,[status(thm)],[c_546075,c_124]) ).
tff(c_546321,plain,
( product(e_5,e_3,e_3)
| ~ product(e_3,e_5,e_6) ),
inference(resolution,[status(thm)],[c_545731,c_546282]) ).
tff(c_546355,plain,
~ product(e_3,e_5,e_6),
inference(splitLeft,[status(thm)],[c_546321]) ).
tff(c_546358,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_546355]) ).
tff(c_546361,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_52,c_546358]) ).
tff(c_546380,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_546361]) ).
tff(c_546523,plain,
! [X_5738] :
( product(X_5738,e_3,e_1)
| ~ product(X_5738,e_5,e_3) ),
inference(resolution,[status(thm)],[c_546380,c_124]) ).
tff(c_546527,plain,
product(e_6,e_3,e_1),
inference(resolution,[status(thm)],[c_545916,c_546523]) ).
tff(c_546686,plain,
! [X_5742] :
( product(X_5742,e_6,e_1)
| ~ product(X_5742,e_3,e_6) ),
inference(resolution,[status(thm)],[c_546527,c_124]) ).
tff(c_546133,plain,
! [X_18,X_5722] :
( product(X_18,X_5722,e_3)
| ~ product(X_18,e_6,X_5722)
| ~ product(X_5722,e_5,e_6) ),
inference(resolution,[status(thm)],[c_546075,c_124]) ).
tff(c_546741,plain,
! [X_5742] :
( product(X_5742,e_1,e_3)
| ~ product(e_1,e_5,e_6)
| ~ product(X_5742,e_3,e_6) ),
inference(resolution,[status(thm)],[c_546686,c_546133]) ).
tff(c_547031,plain,
~ product(e_1,e_5,e_6),
inference(splitLeft,[status(thm)],[c_546741]) ).
tff(c_547034,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_547031]) ).
tff(c_547037,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_52,c_547034]) ).
tff(c_547045,plain,
product(e_1,e_5,e_1),
inference(splitLeft,[status(thm)],[c_547037]) ).
tff(c_546415,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_546380,c_122]) ).
tff(c_547145,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_547045,c_546415]) ).
tff(c_547171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_547145]) ).
tff(c_547172,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_547037]) ).
tff(c_547174,plain,
product(e_1,e_5,e_5),
inference(splitLeft,[status(thm)],[c_547172]) ).
tff(c_547388,plain,
! [X_5761] :
( product(X_5761,e_1,e_5)
| ~ product(X_5761,e_5,e_1) ),
inference(resolution,[status(thm)],[c_547174,c_124]) ).
tff(c_547392,plain,
product(e_3,e_1,e_5),
inference(resolution,[status(thm)],[c_546380,c_547388]) ).
tff(c_547468,plain,
~ next(e_3,e_4),
inference(resolution,[status(thm)],[c_547392,c_163]) ).
tff(c_547529,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_547468]) ).
tff(c_547530,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_547172]) ).
tff(c_547574,plain,
product(e_1,e_5,e_2),
inference(splitLeft,[status(thm)],[c_547530]) ).
tff(c_547693,plain,
! [X_5769] :
( product(X_5769,e_1,e_2)
| ~ product(X_5769,e_5,e_1) ),
inference(resolution,[status(thm)],[c_547574,c_124]) ).
tff(c_547697,plain,
product(e_3,e_1,e_2),
inference(resolution,[status(thm)],[c_546380,c_547693]) ).
tff(c_547766,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_547697,c_311]) ).
tff(c_547817,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_547766]) ).
tff(c_547818,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_547817]) ).
tff(c_548206,plain,
! [X_5779] :
( product(X_5779,e_3,e_3)
| ~ product(X_5779,e_2,e_3) ),
inference(resolution,[status(thm)],[c_547818,c_124]) ).
tff(c_547882,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_547818,c_120]) ).
tff(c_548210,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_548206,c_547882]) ).
tff(c_548243,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_547818,c_548210]) ).
tff(c_548245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_548243]) ).
tff(c_548246,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_547530]) ).
tff(c_548248,plain,
product(e_1,e_5,e_4),
inference(splitLeft,[status(thm)],[c_548246]) ).
tff(c_548471,plain,
! [X_5785] :
( product(X_5785,e_1,e_4)
| ~ product(X_5785,e_5,e_1) ),
inference(resolution,[status(thm)],[c_548248,c_124]) ).
tff(c_548475,plain,
product(e_3,e_1,e_4),
inference(resolution,[status(thm)],[c_546380,c_548471]) ).
tff(c_548575,plain,
! [W_5786] :
( equalish(W_5786,e_1)
| ~ product(e_3,W_5786,e_4) ),
inference(resolution,[status(thm)],[c_548475,c_120]) ).
tff(c_548582,plain,
( equalish(e_6,e_1)
| equalish(e_3,e_6)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_498264,c_548575]) ).
tff(c_548591,plain,
( equalish(e_6,e_1)
| equalish(e_3,e_6)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_548582]) ).
tff(c_548592,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_84,c_106,c_548591]) ).
tff(c_549314,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_548592]) ).
tff(c_546414,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_3,W_11,e_1) ),
inference(resolution,[status(thm)],[c_546380,c_120]) ).
tff(c_549335,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_549314,c_546414]) ).
tff(c_549368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_549335]) ).
tff(c_549369,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_548592]) ).
tff(c_549381,plain,
product(e_3,e_6,e_3),
inference(splitLeft,[status(thm)],[c_549369]) ).
tff(c_545765,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_6,e_3) ),
inference(resolution,[status(thm)],[c_545731,c_122]) ).
tff(c_549398,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_549381,c_545765]) ).
tff(c_549427,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_549398]) ).
tff(c_549428,plain,
product(e_3,e_6,e_2),
inference(splitRight,[status(thm)],[c_549369]) ).
tff(c_548278,plain,
! [W_5780] :
( equalish(W_5780,e_5)
| ~ product(e_1,W_5780,e_4) ),
inference(resolution,[status(thm)],[c_548248,c_120]) ).
tff(c_548285,plain,
( equalish(e_6,e_5)
| equalish(e_1,e_6)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_498264,c_548278]) ).
tff(c_548294,plain,
( equalish(e_6,e_5)
| equalish(e_1,e_6)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_548285]) ).
tff(c_548295,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_114,c_548294]) ).
tff(c_548927,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_548295]) ).
tff(c_548949,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_548927,c_2267]) ).
tff(c_548984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_548949]) ).
tff(c_548985,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_548295]) ).
tff(c_548991,plain,
product(e_1,e_6,e_3),
inference(splitLeft,[status(thm)],[c_548985]) ).
tff(c_549008,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_548991,c_545765]) ).
tff(c_549037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_549008]) ).
tff(c_549038,plain,
product(e_1,e_6,e_2),
inference(splitRight,[status(thm)],[c_548985]) ).
tff(c_549149,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_6,e_2) ),
inference(resolution,[status(thm)],[c_549038,c_122]) ).
tff(c_549436,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_549428,c_549149]) ).
tff(c_549464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_549436]) ).
tff(c_549465,plain,
product(e_1,e_5,e_3),
inference(splitRight,[status(thm)],[c_548246]) ).
tff(c_545966,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_3) ),
inference(resolution,[status(thm)],[c_545916,c_122]) ).
tff(c_549481,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_549465,c_545966]) ).
tff(c_549504,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_549481]) ).
tff(c_549506,plain,
product(e_1,e_5,e_6),
inference(splitRight,[status(thm)],[c_546741]) ).
tff(c_546244,plain,
! [W_5726,X_5727] :
( equalish(W_5726,X_5727)
| ~ product(W_5726,e_6,e_3)
| ~ product(X_5727,e_5,e_6) ),
inference(resolution,[status(thm)],[c_546075,c_122]) ).
tff(c_546250,plain,
! [X_5727] :
( equalish(e_5,X_5727)
| ~ product(X_5727,e_5,e_6) ),
inference(resolution,[status(thm)],[c_545731,c_546244]) ).
tff(c_549518,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_549506,c_546250]) ).
tff(c_549548,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_549518]) ).
tff(c_549549,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_546361]) ).
tff(c_549551,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_549549]) ).
tff(c_549758,plain,
! [X_5809] :
( product(X_5809,e_3,e_5)
| ~ product(X_5809,e_5,e_3) ),
inference(resolution,[status(thm)],[c_549551,c_124]) ).
tff(c_549762,plain,
product(e_6,e_3,e_5),
inference(resolution,[status(thm)],[c_545916,c_549758]) ).
tff(c_549765,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_549762,c_497787]) ).
tff(c_549781,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_549765]) ).
tff(c_549782,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_549549]) ).
tff(c_549826,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_549782]) ).
tff(c_549938,plain,
! [X_5813] :
( product(X_5813,e_3,e_2)
| ~ product(X_5813,e_5,e_3) ),
inference(resolution,[status(thm)],[c_549826,c_124]) ).
tff(c_549942,plain,
product(e_6,e_3,e_2),
inference(resolution,[status(thm)],[c_545916,c_549938]) ).
tff(c_549968,plain,
! [X_18] :
( product(X_18,e_6,e_2)
| ~ product(X_18,e_3,e_6) ),
inference(resolution,[status(thm)],[c_549942,c_124]) ).
tff(c_550070,plain,
! [X_5817] :
( product(X_5817,e_6,e_2)
| ~ product(X_5817,e_3,e_6) ),
inference(resolution,[status(thm)],[c_549942,c_124]) ).
tff(c_550344,plain,
! [X_5827,X_5828] :
( product(X_5827,X_5828,e_2)
| ~ product(X_5827,e_6,X_5828)
| ~ product(X_5828,e_3,e_6) ),
inference(resolution,[status(thm)],[c_550070,c_124]) ).
tff(c_550384,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_3,e_6)
| ~ product(X_18,e_3,e_6) ),
inference(resolution,[status(thm)],[c_549968,c_550344]) ).
tff(c_550427,plain,
~ product(e_2,e_3,e_6),
inference(splitLeft,[status(thm)],[c_550384]) ).
tff(c_550430,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_550427]) ).
tff(c_550433,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48,c_550430]) ).
tff(c_555609,plain,
product(e_2,e_3,e_1),
inference(splitLeft,[status(thm)],[c_550433]) ).
tff(c_545766,plain,
! [W_8] :
( equalish(W_8,e_3)
| ~ product(e_5,e_6,W_8) ),
inference(resolution,[status(thm)],[c_545731,c_118]) ).
tff(c_550087,plain,
( equalish(e_2,e_3)
| ~ product(e_5,e_3,e_6) ),
inference(resolution,[status(thm)],[c_550070,c_545766]) ).
tff(c_550121,plain,
~ product(e_5,e_3,e_6),
inference(negUnitSimplification,[status(thm)],[c_68,c_550087]) ).
tff(c_550194,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_550121]) ).
tff(c_550197,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_48,c_550194]) ).
tff(c_553538,plain,
product(e_5,e_3,e_1),
inference(splitLeft,[status(thm)],[c_550197]) ).
tff(c_553588,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_553538,c_122]) ).
tff(c_555663,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_555609,c_553588]) ).
tff(c_555707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_555663]) ).
tff(c_555708,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_550433]) ).
tff(c_555714,plain,
product(e_2,e_3,e_5),
inference(splitLeft,[status(thm)],[c_555708]) ).
tff(c_556042,plain,
! [X_5976] :
( product(X_5976,e_2,e_5)
| ~ product(X_5976,e_3,e_2) ),
inference(resolution,[status(thm)],[c_555714,c_124]) ).
tff(c_556046,plain,
product(e_6,e_2,e_5),
inference(resolution,[status(thm)],[c_549942,c_556042]) ).
tff(c_556051,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_556046,c_497787]) ).
tff(c_556076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_556051]) ).
tff(c_556077,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_555708]) ).
tff(c_556164,plain,
product(e_2,e_3,e_2),
inference(splitLeft,[status(thm)],[c_556077]) ).
tff(c_549970,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_3,e_2) ),
inference(resolution,[status(thm)],[c_549942,c_122]) ).
tff(c_556174,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_556164,c_549970]) ).
tff(c_556197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_556174]) ).
tff(c_556198,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_556077]) ).
tff(c_556200,plain,
product(e_2,e_3,e_4),
inference(splitLeft,[status(thm)],[c_556198]) ).
tff(c_556239,plain,
! [W_5979] :
( equalish(W_5979,e_3)
| ~ product(e_2,W_5979,e_4) ),
inference(resolution,[status(thm)],[c_556200,c_120]) ).
tff(c_556246,plain,
( equalish(e_6,e_3)
| equalish(e_2,e_6)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_498264,c_556239]) ).
tff(c_556255,plain,
( equalish(e_6,e_3)
| equalish(e_2,e_6)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_556246]) ).
tff(c_556256,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_74,c_110,c_556255]) ).
tff(c_557036,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_556256]) ).
tff(c_550115,plain,
! [X_5817] :
( product(X_5817,e_2,e_3)
| ~ product(e_2,e_5,e_6)
| ~ product(X_5817,e_3,e_6) ),
inference(resolution,[status(thm)],[c_550070,c_546133]) ).
tff(c_550337,plain,
~ product(e_2,e_5,e_6),
inference(splitLeft,[status(thm)],[c_550115]) ).
tff(c_550340,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_550337]) ).
tff(c_550343,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_52,c_550340]) ).
tff(c_550434,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_550343]) ).
tff(c_550468,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_1) ),
inference(resolution,[status(thm)],[c_550434,c_120]) ).
tff(c_557052,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_557036,c_550468]) ).
tff(c_557097,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_557052]) ).
tff(c_557098,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_556256]) ).
tff(c_557885,plain,
product(e_2,e_6,e_3),
inference(splitLeft,[status(thm)],[c_557098]) ).
tff(c_557907,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_557885,c_545765]) ).
tff(c_557941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_557907]) ).
tff(c_557942,plain,
product(e_2,e_6,e_2),
inference(splitRight,[status(thm)],[c_557098]) ).
tff(c_558749,plain,
! [X_6013] :
( product(X_6013,e_2,e_2)
| ~ product(X_6013,e_6,e_2) ),
inference(resolution,[status(thm)],[c_557942,c_124]) ).
tff(c_558756,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_557942,c_558749]) ).
tff(c_558007,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_557942,c_120]) ).
tff(c_558760,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_558756,c_558007]) ).
tff(c_558785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_558760]) ).
tff(c_558786,plain,
product(e_2,e_3,e_3),
inference(splitRight,[status(thm)],[c_556198]) ).
tff(c_549853,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_549826,c_120]) ).
tff(c_550078,plain,
( equalish(e_6,e_5)
| ~ product(e_3,e_3,e_6) ),
inference(resolution,[status(thm)],[c_550070,c_549853]) ).
tff(c_550114,plain,
~ product(e_3,e_3,e_6),
inference(negUnitSimplification,[status(thm)],[c_114,c_550078]) ).
tff(c_550200,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_550114]) ).
tff(c_550203,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_550200]) ).
tff(c_551064,plain,
product(e_3,e_3,e_1),
inference(splitLeft,[status(thm)],[c_550203]) ).
tff(c_550577,plain,
! [X_5833] :
( product(X_5833,e_2,e_1)
| ~ product(X_5833,e_5,e_2) ),
inference(resolution,[status(thm)],[c_550434,c_124]) ).
tff(c_550581,plain,
product(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c_549826,c_550577]) ).
tff(c_550627,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_1) ),
inference(resolution,[status(thm)],[c_550581,c_120]) ).
tff(c_551080,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_551064,c_550627]) ).
tff(c_551107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_551080]) ).
tff(c_551108,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_550203]) ).
tff(c_551114,plain,
product(e_3,e_3,e_5),
inference(splitLeft,[status(thm)],[c_551108]) ).
tff(c_551256,plain,
! [W_5854] :
( equalish(W_5854,e_3)
| ~ product(e_3,W_5854,e_5) ),
inference(resolution,[status(thm)],[c_551114,c_120]) ).
tff(c_551267,plain,
( equalish(e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_497938,c_551256]) ).
tff(c_551299,plain,
( equalish(e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_551267]) ).
tff(c_551300,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_110,c_551299]) ).
tff(c_551756,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_551300]) ).
tff(c_551761,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_551756,c_550627]) ).
tff(c_551794,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_551761]) ).
tff(c_551795,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_551300]) ).
tff(c_551798,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_551795]) ).
tff(c_551974,plain,
! [X_5872] :
( product(X_5872,e_3,e_4)
| ~ product(X_5872,e_6,e_3) ),
inference(resolution,[status(thm)],[c_551798,c_124]) ).
tff(c_551982,plain,
product(e_5,e_3,e_4),
inference(resolution,[status(thm)],[c_545731,c_551974]) ).
tff(c_552231,plain,
! [X_5876] :
( product(X_5876,e_5,e_4)
| ~ product(X_5876,e_3,e_5) ),
inference(resolution,[status(thm)],[c_551982,c_124]) ).
tff(c_551841,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_4) ),
inference(resolution,[status(thm)],[c_551798,c_120]) ).
tff(c_552239,plain,
( equalish(e_5,e_6)
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[c_552231,c_551841]) ).
tff(c_552271,plain,
equalish(e_5,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_551114,c_552239]) ).
tff(c_552273,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_552271]) ).
tff(c_552274,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_551795]) ).
tff(c_552283,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_552274]) ).
tff(c_552295,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_552283,c_549853]) ).
tff(c_552324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_552295]) ).
tff(c_552325,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_552274]) ).
tff(c_552347,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_552325,c_545765]) ).
tff(c_552376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_552347]) ).
tff(c_552377,plain,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_551108]) ).
tff(c_552516,plain,
product(e_3,e_3,e_2),
inference(splitLeft,[status(thm)],[c_552377]) ).
tff(c_552526,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_552516,c_549970]) ).
tff(c_552553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_552526]) ).
tff(c_552554,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_552377]) ).
tff(c_552560,plain,
product(e_3,e_3,e_4),
inference(splitLeft,[status(thm)],[c_552554]) ).
tff(c_2639,plain,
! [W_11,X_174] :
( equalish(W_11,e_1)
| ~ product(X_174,W_11,e_4)
| ~ next(X_174,e_4)
| product(X_174,e_1,e_3)
| product(X_174,e_1,e_2)
| product(X_174,e_1,e_1)
| ~ group_element(X_174) ),
inference(resolution,[status(thm)],[c_2572,c_120]) ).
tff(c_552567,plain,
( equalish(e_3,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_552560,c_2639]) ).
tff(c_552585,plain,
( equalish(e_3,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_552567]) ).
tff(c_552586,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_76,c_552585]) ).
tff(c_552889,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_552586]) ).
tff(c_552897,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_552889,c_550627]) ).
tff(c_552950,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_552897]) ).
tff(c_552951,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_552586]) ).
tff(c_552977,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_552951]) ).
tff(c_553254,plain,
! [X_5897] :
( product(X_5897,e_3,e_3)
| ~ product(X_5897,e_1,e_3) ),
inference(resolution,[status(thm)],[c_552977,c_124]) ).
tff(c_553085,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_552977,c_120]) ).
tff(c_553258,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_553254,c_553085]) ).
tff(c_553314,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_552977,c_553258]) ).
tff(c_553316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_553314]) ).
tff(c_553317,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_552951]) ).
tff(c_553334,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_553317,c_549853]) ).
tff(c_553382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_553334]) ).
tff(c_553383,plain,
product(e_3,e_3,e_3),
inference(splitRight,[status(thm)],[c_552554]) ).
tff(c_553432,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_3,e_3) ),
inference(resolution,[status(thm)],[c_553383,c_122]) ).
tff(c_558790,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_558786,c_553432]) ).
tff(c_558817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_558790]) ).
tff(c_558818,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_550197]) ).
tff(c_558847,plain,
product(e_5,e_3,e_5),
inference(splitLeft,[status(thm)],[c_558818]) ).
tff(c_559074,plain,
! [X_6019] :
( product(X_6019,e_5,e_5)
| ~ product(X_6019,e_3,e_5) ),
inference(resolution,[status(thm)],[c_558847,c_124]) ).
tff(c_558883,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_558847,c_120]) ).
tff(c_559078,plain,
( equalish(e_5,e_3)
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[c_559074,c_558883]) ).
tff(c_559114,plain,
equalish(e_5,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_558847,c_559078]) ).
tff(c_559116,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_559114]) ).
tff(c_559117,plain,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_558818]) ).
tff(c_559161,plain,
product(e_5,e_3,e_2),
inference(splitLeft,[status(thm)],[c_559117]) ).
tff(c_559188,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_559161,c_549970]) ).
tff(c_559211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_559188]) ).
tff(c_559212,plain,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_559117]) ).
tff(c_559214,plain,
product(e_5,e_3,e_4),
inference(splitLeft,[status(thm)],[c_559212]) ).
tff(c_559356,plain,
! [X_6025] :
( product(X_6025,e_5,e_4)
| ~ product(X_6025,e_3,e_5) ),
inference(resolution,[status(thm)],[c_559214,c_124]) ).
tff(c_550470,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_2,e_5,W_8) ),
inference(resolution,[status(thm)],[c_550434,c_118]) ).
tff(c_559367,plain,
( equalish(e_4,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[c_559356,c_550470]) ).
tff(c_559395,plain,
~ product(e_2,e_3,e_5),
inference(negUnitSimplification,[status(thm)],[c_86,c_559367]) ).
tff(c_559769,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_559395,c_550433]) ).
tff(c_559770,plain,
product(e_2,e_3,e_1),
inference(splitLeft,[status(thm)],[c_559769]) ).
tff(c_559782,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_559770,c_550468]) ).
tff(c_559810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_559782]) ).
tff(c_559811,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_559769]) ).
tff(c_559867,plain,
product(e_2,e_3,e_4),
inference(splitLeft,[status(thm)],[c_559811]) ).
tff(c_559250,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_3,e_4) ),
inference(resolution,[status(thm)],[c_559214,c_122]) ).
tff(c_559872,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_559867,c_559250]) ).
tff(c_559897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_559872]) ).
tff(c_559898,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_559811]) ).
tff(c_559900,plain,
product(e_2,e_3,e_2),
inference(splitLeft,[status(thm)],[c_559898]) ).
tff(c_559910,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_559900,c_549970]) ).
tff(c_559933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_559910]) ).
tff(c_559934,plain,
product(e_2,e_3,e_3),
inference(splitRight,[status(thm)],[c_559898]) ).
tff(c_560040,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_559934,c_553432]) ).
tff(c_560067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_560040]) ).
tff(c_560068,plain,
product(e_5,e_3,e_3),
inference(splitRight,[status(thm)],[c_559212]) ).
tff(c_560072,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_560068,c_553432]) ).
tff(c_560102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_560072]) ).
tff(c_560103,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_550343]) ).
tff(c_560122,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_560103]) ).
tff(c_560424,plain,
! [X_6044] :
( product(X_6044,e_2,e_5)
| ~ product(X_6044,e_5,e_2) ),
inference(resolution,[status(thm)],[c_560122,c_124]) ).
tff(c_560428,plain,
product(e_3,e_2,e_5),
inference(resolution,[status(thm)],[c_549826,c_560424]) ).
tff(c_560461,plain,
! [X_18] :
( product(X_18,e_3,e_5)
| ~ product(X_18,e_2,e_3) ),
inference(resolution,[status(thm)],[c_560428,c_124]) ).
tff(c_560649,plain,
! [X_6048] :
( product(X_6048,e_3,e_5)
| ~ product(X_6048,e_2,e_3) ),
inference(resolution,[status(thm)],[c_560428,c_124]) ).
tff(c_560891,plain,
! [X_6055,X_6056] :
( product(X_6055,X_6056,e_5)
| ~ product(X_6055,e_3,X_6056)
| ~ product(X_6056,e_2,e_3) ),
inference(resolution,[status(thm)],[c_560649,c_124]) ).
tff(c_560923,plain,
! [X_18] :
( product(X_18,e_5,e_5)
| ~ product(e_5,e_2,e_3)
| ~ product(X_18,e_2,e_3) ),
inference(resolution,[status(thm)],[c_560461,c_560891]) ).
tff(c_560953,plain,
~ product(e_5,e_2,e_3),
inference(splitLeft,[status(thm)],[c_560923]) ).
tff(c_560665,plain,
( equalish(e_3,e_6)
| ~ product(e_6,e_2,e_3) ),
inference(resolution,[status(thm)],[c_560649,c_497787]) ).
tff(c_560689,plain,
~ product(e_6,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_84,c_560665]) ).
tff(c_560593,plain,
! [W_6047] :
( equalish(W_6047,e_3)
| ~ product(W_6047,e_2,e_5) ),
inference(resolution,[status(thm)],[c_560428,c_122]) ).
tff(c_560608,plain,
( equalish(e_6,e_3)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_461971,c_560593]) ).
tff(c_560635,plain,
( equalish(e_6,e_3)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_560608]) ).
tff(c_560636,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_110,c_560635]) ).
tff(c_562294,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_560689,c_560636]) ).
tff(c_562295,plain,
product(e_6,e_2,e_1),
inference(splitLeft,[status(thm)],[c_562294]) ).
tff(c_562683,plain,
! [X_6084] :
( product(X_6084,e_6,e_1)
| ~ product(X_6084,e_2,e_6) ),
inference(resolution,[status(thm)],[c_562295,c_124]) ).
tff(c_562708,plain,
( equalish(e_1,e_3)
| ~ product(e_5,e_2,e_6) ),
inference(resolution,[status(thm)],[c_562683,c_545766]) ).
tff(c_562757,plain,
~ product(e_5,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_58,c_562708]) ).
tff(c_562798,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_562757]) ).
tff(c_562801,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_46,c_562798]) ).
tff(c_562802,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_560953,c_562801]) ).
tff(c_564264,plain,
product(e_5,e_2,e_1),
inference(splitLeft,[status(thm)],[c_562802]) ).
tff(c_560465,plain,
! [W_6045] :
( equalish(W_6045,e_2)
| ~ product(e_3,W_6045,e_5) ),
inference(resolution,[status(thm)],[c_560428,c_120]) ).
tff(c_560476,plain,
( equalish(e_6,e_2)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_497938,c_560465]) ).
tff(c_560508,plain,
( equalish(e_6,e_2)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_560476]) ).
tff(c_560509,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_560508]) ).
tff(c_563156,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_560509]) ).
tff(c_563391,plain,
! [X_6104] :
( product(X_6104,e_3,e_1)
| ~ product(X_6104,e_6,e_3) ),
inference(resolution,[status(thm)],[c_563156,c_124]) ).
tff(c_563399,plain,
product(e_5,e_3,e_1),
inference(resolution,[status(thm)],[c_545731,c_563391]) ).
tff(c_563445,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_5,W_11,e_1) ),
inference(resolution,[status(thm)],[c_563399,c_120]) ).
tff(c_564269,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_564264,c_563445]) ).
tff(c_564302,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_564269]) ).
tff(c_564303,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_562802]) ).
tff(c_564305,plain,
product(e_5,e_2,e_5),
inference(splitLeft,[status(thm)],[c_564303]) ).
tff(c_560463,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_2,e_5) ),
inference(resolution,[status(thm)],[c_560428,c_122]) ).
tff(c_564414,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_564305,c_560463]) ).
tff(c_564441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_564414]) ).
tff(c_564442,plain,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_564303]) ).
tff(c_564486,plain,
product(e_5,e_2,e_2),
inference(splitLeft,[status(thm)],[c_564442]) ).
tff(c_564637,plain,
! [X_6131] :
( product(X_6131,e_5,e_2)
| ~ product(X_6131,e_2,e_5) ),
inference(resolution,[status(thm)],[c_564486,c_124]) ).
tff(c_560146,plain,
! [W_8] :
( equalish(W_8,e_5)
| ~ product(e_2,e_5,W_8) ),
inference(resolution,[status(thm)],[c_560122,c_118]) ).
tff(c_564653,plain,
( equalish(e_2,e_5)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[c_564637,c_560146]) ).
tff(c_564698,plain,
~ product(e_2,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_72,c_564653]) ).
tff(c_560144,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_5) ),
inference(resolution,[status(thm)],[c_560122,c_120]) ).
tff(c_560657,plain,
( equalish(e_3,e_5)
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[c_560649,c_560144]) ).
tff(c_560683,plain,
~ product(e_2,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_82,c_560657]) ).
tff(c_561175,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_560509]) ).
tff(c_560147,plain,
! [W_6039] :
( equalish(W_6039,e_5)
| ~ product(e_2,W_6039,e_5) ),
inference(resolution,[status(thm)],[c_560122,c_120]) ).
tff(c_560158,plain,
( equalish(e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_497938,c_560147]) ).
tff(c_560190,plain,
( equalish(e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_560158]) ).
tff(c_560191,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_560190]) ).
tff(c_560960,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_560191]) ).
tff(c_561013,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_560960,c_122]) ).
tff(c_561180,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_561175,c_561013]) ).
tff(c_561211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_561180]) ).
tff(c_561212,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_560509]) ).
tff(c_561214,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_561212]) ).
tff(c_561228,plain,
( equalish(e_6,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_561214,c_2639]) ).
tff(c_561253,plain,
( equalish(e_6,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_561228]) ).
tff(c_561254,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_561253]) ).
tff(c_561405,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_561254]) ).
tff(c_561430,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_561405,c_2268]) ).
tff(c_561482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_561430]) ).
tff(c_561483,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_561254]) ).
tff(c_561656,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_561483]) ).
tff(c_562001,plain,
! [X_6074] :
( product(X_6074,e_3,e_3)
| ~ product(X_6074,e_1,e_3) ),
inference(resolution,[status(thm)],[c_561656,c_124]) ).
tff(c_561762,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_561656,c_120]) ).
tff(c_562005,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_562001,c_561762]) ).
tff(c_562047,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_561656,c_562005]) ).
tff(c_562049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_562047]) ).
tff(c_562050,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_561483]) ).
tff(c_562135,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_562050,c_549853]) ).
tff(c_562183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_562135]) ).
tff(c_562184,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_561212]) ).
tff(c_562193,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_562184]) ).
tff(c_562208,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_562193,c_549853]) ).
tff(c_562238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_562208]) ).
tff(c_562239,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_562184]) ).
tff(c_562261,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_562239,c_545765]) ).
tff(c_562290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_562261]) ).
tff(c_562291,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_560191]) ).
tff(c_562293,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_562291]) ).
tff(c_562346,plain,
! [W_8] :
( equalish(W_8,e_4)
| ~ product(e_2,e_6,W_8) ),
inference(resolution,[status(thm)],[c_562293,c_118]) ).
tff(c_562691,plain,
( equalish(e_1,e_4)
| ~ product(e_2,e_2,e_6) ),
inference(resolution,[status(thm)],[c_562683,c_562346]) ).
tff(c_562745,plain,
~ product(e_2,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_60,c_562691]) ).
tff(c_562805,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_562745]) ).
tff(c_562808,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_562805]) ).
tff(c_562809,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_560683,c_562808]) ).
tff(c_565402,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_564698,c_562809]) ).
tff(c_565403,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_565402]) ).
tff(c_562393,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_562295,c_122]) ).
tff(c_565410,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_565403,c_562393]) ).
tff(c_565440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_565410]) ).
tff(c_565441,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_565402]) ).
tff(c_565443,plain,
product(e_2,e_2,e_4),
inference(splitLeft,[status(thm)],[c_565441]) ).
tff(c_562344,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_4) ),
inference(resolution,[status(thm)],[c_562293,c_120]) ).
tff(c_565446,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_565443,c_562344]) ).
tff(c_565471,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_565446]) ).
tff(c_565472,plain,
product(e_2,e_2,e_2),
inference(splitRight,[status(thm)],[c_565441]) ).
tff(c_564539,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_564486,c_122]) ).
tff(c_565485,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_565472,c_564539]) ).
tff(c_565512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_565485]) ).
tff(c_565513,plain,
product(e_5,e_2,e_4),
inference(splitRight,[status(thm)],[c_564442]) ).
tff(c_565770,plain,
! [X_6154] :
( product(X_6154,e_5,e_4)
| ~ product(X_6154,e_2,e_5) ),
inference(resolution,[status(thm)],[c_565513,c_124]) ).
tff(c_549855,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_3,e_5,W_8) ),
inference(resolution,[status(thm)],[c_549826,c_118]) ).
tff(c_565793,plain,
( equalish(e_4,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[c_565770,c_549855]) ).
tff(c_565830,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_560428,c_565793]) ).
tff(c_565832,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_565830]) ).
tff(c_565833,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_560509]) ).
tff(c_565840,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_565833]) ).
tff(c_562345,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_6,e_4) ),
inference(resolution,[status(thm)],[c_562293,c_122]) ).
tff(c_565848,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_565840,c_562345]) ).
tff(c_565881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_565848]) ).
tff(c_565882,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_565833]) ).
tff(c_565891,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_565882]) ).
tff(c_565911,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_565891,c_549853]) ).
tff(c_565944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_565911]) ).
tff(c_565945,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_565882]) ).
tff(c_565972,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_565945,c_545765]) ).
tff(c_566004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_565972]) ).
tff(c_566005,plain,
( product(e_6,e_2,e_2)
| product(e_6,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_562294]) ).
tff(c_566568,plain,
product(e_6,e_2,e_4),
inference(splitLeft,[status(thm)],[c_566005]) ).
tff(c_566798,plain,
! [X_6172] :
( product(X_6172,e_6,e_4)
| ~ product(X_6172,e_2,e_6) ),
inference(resolution,[status(thm)],[c_566568,c_124]) ).
tff(c_566833,plain,
( equalish(e_4,e_3)
| ~ product(e_5,e_2,e_6) ),
inference(resolution,[status(thm)],[c_566798,c_545766]) ).
tff(c_566877,plain,
~ product(e_5,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_90,c_566833]) ).
tff(c_566911,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_566877]) ).
tff(c_566914,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_46,c_566911]) ).
tff(c_566915,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_560953,c_566914]) ).
tff(c_567939,plain,
product(e_5,e_2,e_1),
inference(splitLeft,[status(thm)],[c_566915]) ).
tff(c_566007,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_560509]) ).
tff(c_566403,plain,
! [X_6163] :
( product(X_6163,e_3,e_1)
| ~ product(X_6163,e_6,e_3) ),
inference(resolution,[status(thm)],[c_566007,c_124]) ).
tff(c_566411,plain,
product(e_5,e_3,e_1),
inference(resolution,[status(thm)],[c_545731,c_566403]) ).
tff(c_566453,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_5,W_11,e_1) ),
inference(resolution,[status(thm)],[c_566411,c_120]) ).
tff(c_567945,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_567939,c_566453]) ).
tff(c_567973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_567945]) ).
tff(c_567975,plain,
~ product(e_5,e_2,e_1),
inference(splitRight,[status(thm)],[c_566915]) ).
tff(c_567974,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_566915]) ).
tff(c_567976,plain,
product(e_5,e_2,e_5),
inference(splitLeft,[status(thm)],[c_567974]) ).
tff(c_567983,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_567976,c_560463]) ).
tff(c_568010,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_567983]) ).
tff(c_568011,plain,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_567974]) ).
tff(c_568055,plain,
product(e_5,e_2,e_2),
inference(splitLeft,[status(thm)],[c_568011]) ).
tff(c_568199,plain,
! [X_6204] :
( product(X_6204,e_5,e_2)
| ~ product(X_6204,e_2,e_5) ),
inference(resolution,[status(thm)],[c_568055,c_124]) ).
tff(c_568215,plain,
( equalish(e_2,e_5)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[c_568199,c_560146]) ).
tff(c_568260,plain,
~ product(e_2,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_72,c_568215]) ).
tff(c_568066,plain,
( product(e_5,e_2,e_6)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_568055,c_219]) ).
tff(c_568093,plain,
( product(e_5,e_2,e_6)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_568066]) ).
tff(c_568094,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_560683,c_566877,c_568093]) ).
tff(c_568950,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_568260,c_568094]) ).
tff(c_568951,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_568950]) ).
tff(c_569758,plain,
! [X_6227] :
( product(X_6227,e_2,e_1)
| ~ product(X_6227,e_2,e_2) ),
inference(resolution,[status(thm)],[c_568951,c_124]) ).
tff(c_569761,plain,
product(e_5,e_2,e_1),
inference(resolution,[status(thm)],[c_568055,c_569758]) ).
tff(c_569765,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_567975,c_569761]) ).
tff(c_569766,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_568950]) ).
tff(c_569768,plain,
product(e_2,e_2,e_4),
inference(splitLeft,[status(thm)],[c_569766]) ).
tff(c_566670,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_4) ),
inference(resolution,[status(thm)],[c_566568,c_122]) ).
tff(c_569773,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_569768,c_566670]) ).
tff(c_569804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_569773]) ).
tff(c_569805,plain,
product(e_2,e_2,e_2),
inference(splitRight,[status(thm)],[c_569766]) ).
tff(c_568101,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_568055,c_122]) ).
tff(c_569930,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_569805,c_568101]) ).
tff(c_569957,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_569930]) ).
tff(c_569958,plain,
product(e_5,e_2,e_4),
inference(splitRight,[status(thm)],[c_568011]) ).
tff(c_569965,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_569958,c_566670]) ).
tff(c_569992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_569965]) ).
tff(c_569993,plain,
product(e_6,e_2,e_2),
inference(splitRight,[status(thm)],[c_566005]) ).
tff(c_549969,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_6,W_11,e_2) ),
inference(resolution,[status(thm)],[c_549942,c_120]) ).
tff(c_570006,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_569993,c_549969]) ).
tff(c_570031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_570006]) ).
tff(c_570032,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_560509]) ).
tff(c_570765,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_570032]) ).
tff(c_570083,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_6,e_4) ),
inference(resolution,[status(thm)],[c_562293,c_122]) ).
tff(c_570775,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_570765,c_570083]) ).
tff(c_570810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_570775]) ).
tff(c_570811,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_570032]) ).
tff(c_570831,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_570811]) ).
tff(c_570849,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_570831,c_549853]) ).
tff(c_570881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_570849]) ).
tff(c_570883,plain,
~ product(e_3,e_6,e_2),
inference(splitRight,[status(thm)],[c_570811]) ).
tff(c_570033,plain,
~ product(e_3,e_6,e_1),
inference(splitRight,[status(thm)],[c_560509]) ).
tff(c_570812,plain,
~ product(e_3,e_6,e_4),
inference(splitRight,[status(thm)],[c_570032]) ).
tff(c_570818,plain,
( equalish(e_3,e_6)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_498264,c_570812]) ).
tff(c_570822,plain,
( equalish(e_3,e_6)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_570818]) ).
tff(c_570823,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_570033,c_84,c_570822]) ).
tff(c_570888,plain,
product(e_3,e_6,e_3),
inference(negUnitSimplification,[status(thm)],[c_570883,c_570823]) ).
tff(c_570908,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_570888,c_545765]) ).
tff(c_570939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_570908]) ).
tff(c_570940,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_562291]) ).
tff(c_570949,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_570940]) ).
tff(c_571140,plain,
! [X_6254] :
( product(X_6254,e_2,e_2)
| ~ product(X_6254,e_6,e_2) ),
inference(resolution,[status(thm)],[c_570949,c_124]) ).
tff(c_571147,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_570949,c_571140]) ).
tff(c_571001,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_570949,c_120]) ).
tff(c_571151,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_571147,c_571001]) ).
tff(c_571176,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_571151]) ).
tff(c_571177,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_570940]) ).
tff(c_571199,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_571177,c_545765]) ).
tff(c_571228,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_571199]) ).
tff(c_571230,plain,
product(e_5,e_2,e_3),
inference(splitRight,[status(thm)],[c_560923]) ).
tff(c_545764,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_5,W_11,e_3) ),
inference(resolution,[status(thm)],[c_545731,c_120]) ).
tff(c_571235,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_571230,c_545764]) ).
tff(c_571265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_571235]) ).
tff(c_571266,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_560103]) ).
tff(c_571405,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_571266]) ).
tff(c_549854,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_549826,c_122]) ).
tff(c_571410,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_571405,c_549854]) ).
tff(c_571430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_571410]) ).
tff(c_571431,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_571266]) ).
tff(c_571600,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_571431]) ).
tff(c_571735,plain,
! [X_6262] :
( product(X_6262,e_2,e_4)
| ~ product(X_6262,e_5,e_2) ),
inference(resolution,[status(thm)],[c_571600,c_124]) ).
tff(c_571739,plain,
product(e_3,e_2,e_4),
inference(resolution,[status(thm)],[c_549826,c_571735]) ).
tff(c_571798,plain,
( equalish(e_2,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_571739,c_2639]) ).
tff(c_571822,plain,
( equalish(e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_571798]) ).
tff(c_571823,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_571822]) ).
tff(c_572310,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_571823]) ).
tff(c_572335,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_572310,c_2268]) ).
tff(c_572387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_572335]) ).
tff(c_572388,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_571823]) ).
tff(c_572414,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_572388]) ).
tff(c_572689,plain,
! [X_6281] :
( product(X_6281,e_3,e_3)
| ~ product(X_6281,e_1,e_3) ),
inference(resolution,[status(thm)],[c_572414,c_124]) ).
tff(c_572520,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_572414,c_120]) ).
tff(c_572693,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_572689,c_572520]) ).
tff(c_572732,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_572414,c_572693]) ).
tff(c_572734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_572732]) ).
tff(c_572735,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_572388]) ).
tff(c_572750,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_572735,c_549853]) ).
tff(c_572798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_572750]) ).
tff(c_572799,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_571431]) ).
tff(c_572808,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_572799,c_545966]) ).
tff(c_572831,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_572808]) ).
tff(c_572833,plain,
product(e_2,e_3,e_6),
inference(splitRight,[status(thm)],[c_550384]) ).
tff(c_572960,plain,
! [X_6285] :
( product(X_6285,e_2,e_2)
| ~ product(X_6285,e_3,e_6) ),
inference(splitRight,[status(thm)],[c_550384]) ).
tff(c_572968,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_572833,c_572960]) ).
tff(c_550137,plain,
! [W_11,X_5817] :
( equalish(W_11,e_6)
| ~ product(X_5817,W_11,e_2)
| ~ product(X_5817,e_3,e_6) ),
inference(resolution,[status(thm)],[c_550070,c_120]) ).
tff(c_572973,plain,
( equalish(e_2,e_6)
| ~ product(e_2,e_3,e_6) ),
inference(resolution,[status(thm)],[c_572968,c_550137]) ).
tff(c_572995,plain,
equalish(e_2,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_572833,c_572973]) ).
tff(c_572997,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_572995]) ).
tff(c_572999,plain,
product(e_2,e_5,e_6),
inference(splitRight,[status(thm)],[c_550115]) ).
tff(c_546100,plain,
! [X_5722] :
( equalish(e_6,e_1)
| ~ next(X_5722,e_3)
| product(X_5722,e_1,e_2)
| product(X_5722,e_1,e_1)
| ~ group_element(X_5722)
| ~ product(X_5722,e_5,e_6) ),
inference(resolution,[status(thm)],[c_546075,c_312]) ).
tff(c_546128,plain,
! [X_5722] :
( ~ next(X_5722,e_3)
| product(X_5722,e_1,e_2)
| product(X_5722,e_1,e_1)
| ~ group_element(X_5722)
| ~ product(X_5722,e_5,e_6) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_546100]) ).
tff(c_573005,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_572999,c_546128]) ).
tff(c_573034,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_573005]) ).
tff(c_573036,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_573034]) ).
tff(c_573037,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_549782]) ).
tff(c_573039,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_573037]) ).
tff(c_573041,plain,
( equalish(e_5,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_573039,c_2639]) ).
tff(c_573056,plain,
( equalish(e_5,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_573041]) ).
tff(c_573057,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_573056]) ).
tff(c_573599,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_573057]) ).
tff(c_573622,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_573599,c_2268]) ).
tff(c_573670,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_573622]) ).
tff(c_573671,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_573057]) ).
tff(c_573725,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_573671]) ).
tff(c_573994,plain,
! [X_6306] :
( product(X_6306,e_3,e_3)
| ~ product(X_6306,e_1,e_3) ),
inference(resolution,[status(thm)],[c_573725,c_124]) ).
tff(c_573825,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_573725,c_120]) ).
tff(c_573998,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_573994,c_573825]) ).
tff(c_574031,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_573725,c_573998]) ).
tff(c_574033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_574031]) ).
tff(c_574034,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_573671]) ).
tff(c_574065,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_574034,c_311]) ).
tff(c_574118,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_574065]) ).
tff(c_574119,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_574118]) ).
tff(c_574497,plain,
! [X_6314] :
( product(X_6314,e_3,e_3)
| ~ product(X_6314,e_2,e_3) ),
inference(resolution,[status(thm)],[c_574119,c_124]) ).
tff(c_574186,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_574119,c_120]) ).
tff(c_574501,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_574497,c_574186]) ).
tff(c_574534,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_574119,c_574501]) ).
tff(c_574536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_574534]) ).
tff(c_574537,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_573037]) ).
tff(c_574543,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_574537,c_545966]) ).
tff(c_574565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_574543]) ).
tff(c_574566,plain,
product(e_5,e_3,e_3),
inference(splitRight,[status(thm)],[c_546321]) ).
tff(c_574580,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_574566,c_545764]) ).
tff(c_574603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_574580]) ).
tff(c_574604,plain,
product(e_5,e_6,e_4),
inference(splitRight,[status(thm)],[c_545680]) ).
tff(c_574753,plain,
! [X_6319] :
( product(X_6319,e_5,e_4)
| ~ product(X_6319,e_6,e_5) ),
inference(resolution,[status(thm)],[c_574604,c_124]) ).
tff(c_574795,plain,
product(e_6,e_5,e_4),
inference(resolution,[status(thm)],[c_497640,c_574753]) ).
tff(c_574841,plain,
! [W_6320] :
( equalish(W_6320,e_5)
| ~ product(e_6,W_6320,e_4) ),
inference(resolution,[status(thm)],[c_574795,c_120]) ).
tff(c_575330,plain,
! [Y_6336] :
( equalish(Y_6336,e_5)
| equalish(Y_6336,e_6)
| product(e_6,Y_6336,e_3)
| product(e_6,Y_6336,e_2)
| product(e_6,Y_6336,e_1)
| ~ group_element(Y_6336) ),
inference(resolution,[status(thm)],[c_497819,c_574841]) ).
tff(c_1843,plain,
! [X_138] :
( product(X_138,e_2,e_3)
| ~ next(X_138,e_2)
| product(X_138,e_1,e_1)
| ~ group_element(X_138) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1773]) ).
tff(c_1886,plain,
! [W_14,X_138] :
( equalish(W_14,X_138)
| ~ product(W_14,e_2,e_3)
| ~ next(X_138,e_2)
| product(X_138,e_1,e_1)
| ~ group_element(X_138) ),
inference(resolution,[status(thm)],[c_1843,c_122]) ).
tff(c_575374,plain,
! [X_138] :
( equalish(e_6,X_138)
| ~ next(X_138,e_2)
| product(X_138,e_1,e_1)
| ~ group_element(X_138)
| equalish(e_2,e_5)
| equalish(e_2,e_6)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_575330,c_1886]) ).
tff(c_575461,plain,
! [X_138] :
( equalish(e_6,X_138)
| ~ next(X_138,e_2)
| product(X_138,e_1,e_1)
| ~ group_element(X_138)
| equalish(e_2,e_5)
| equalish(e_2,e_6)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_575374]) ).
tff(c_575462,plain,
! [X_138] :
( equalish(e_6,X_138)
| ~ next(X_138,e_2)
| product(X_138,e_1,e_1)
| ~ group_element(X_138)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_74,c_72,c_575461]) ).
tff(c_575504,plain,
product(e_6,e_2,e_1),
inference(splitLeft,[status(thm)],[c_575462]) ).
tff(c_575691,plain,
! [X_6340] :
( product(X_6340,e_6,e_1)
| ~ product(X_6340,e_2,e_6) ),
inference(resolution,[status(thm)],[c_575504,c_124]) ).
tff(c_574634,plain,
! [W_8] :
( equalish(W_8,e_4)
| ~ product(e_5,e_6,W_8) ),
inference(resolution,[status(thm)],[c_574604,c_118]) ).
tff(c_575704,plain,
( equalish(e_1,e_4)
| ~ product(e_5,e_2,e_6) ),
inference(resolution,[status(thm)],[c_575691,c_574634]) ).
tff(c_575745,plain,
~ product(e_5,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_60,c_575704]) ).
tff(c_574657,plain,
! [W_6317] :
( equalish(W_6317,e_5)
| ~ product(W_6317,e_6,e_4) ),
inference(resolution,[status(thm)],[c_574604,c_122]) ).
tff(c_574670,plain,
! [X_4776] :
( equalish(X_4776,e_5)
| equalish(X_4776,e_6)
| product(X_4776,e_6,e_3)
| product(X_4776,e_6,e_2)
| product(X_4776,e_6,e_1)
| ~ group_element(X_4776) ),
inference(resolution,[status(thm)],[c_498264,c_574657]) ).
tff(c_574862,plain,
! [Y_5] :
( equalish(Y_5,e_5)
| equalish(Y_5,e_6)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(Y_5) ),
inference(resolution,[status(thm)],[c_497819,c_574841]) ).
tff(c_574961,plain,
! [X_6323] :
( product(X_6323,e_6,e_4)
| ~ product(X_6323,e_5,e_6) ),
inference(resolution,[status(thm)],[c_574795,c_124]) ).
tff(c_575166,plain,
! [X_6331,X_6332] :
( product(X_6331,X_6332,e_4)
| ~ product(X_6331,e_6,X_6332)
| ~ product(X_6332,e_5,e_6) ),
inference(resolution,[status(thm)],[c_574961,c_124]) ).
tff(c_575205,plain,
( product(e_5,e_4,e_4)
| ~ product(e_4,e_5,e_6) ),
inference(resolution,[status(thm)],[c_574604,c_575166]) ).
tff(c_575247,plain,
~ product(e_4,e_5,e_6),
inference(splitLeft,[status(thm)],[c_575205]) ).
tff(c_575250,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_575247]) ).
tff(c_575253,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_52,c_575250]) ).
tff(c_576102,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_575253]) ).
tff(c_576255,plain,
! [X_6357] :
( product(X_6357,e_4,e_1)
| ~ product(X_6357,e_5,e_4) ),
inference(resolution,[status(thm)],[c_576102,c_124]) ).
tff(c_576263,plain,
product(e_6,e_4,e_1),
inference(resolution,[status(thm)],[c_574795,c_576255]) ).
tff(c_575550,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_6,W_11,e_1) ),
inference(resolution,[status(thm)],[c_575504,c_120]) ).
tff(c_576272,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_576263,c_575550]) ).
tff(c_576295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_576272]) ).
tff(c_576296,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_575253]) ).
tff(c_576298,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_576296]) ).
tff(c_576557,plain,
! [X_6363] :
( product(X_6363,e_4,e_5)
| ~ product(X_6363,e_5,e_4) ),
inference(resolution,[status(thm)],[c_576298,c_124]) ).
tff(c_576565,plain,
product(e_6,e_4,e_5),
inference(resolution,[status(thm)],[c_574795,c_576557]) ).
tff(c_576574,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_576565,c_497787]) ).
tff(c_576594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_576574]) ).
tff(c_576595,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_576296]) ).
tff(c_576646,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_576595]) ).
tff(c_576003,plain,
! [X_6352,X_6353] :
( product(X_6352,X_6353,e_1)
| ~ product(X_6352,e_6,X_6353)
| ~ product(X_6353,e_2,e_6) ),
inference(resolution,[status(thm)],[c_575691,c_124]) ).
tff(c_576055,plain,
( product(e_5,e_4,e_1)
| ~ product(e_4,e_2,e_6) ),
inference(resolution,[status(thm)],[c_574604,c_576003]) ).
tff(c_576088,plain,
~ product(e_4,e_2,e_6),
inference(splitLeft,[status(thm)],[c_576055]) ).
tff(c_576650,plain,
( product(e_4,e_2,e_6)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_576646,c_219]) ).
tff(c_576667,plain,
( product(e_4,e_2,e_6)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_52,c_576650]) ).
tff(c_576668,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_576088,c_576667]) ).
tff(c_577391,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_576668]) ).
tff(c_577551,plain,
! [X_6392] :
( product(X_6392,e_2,e_1)
| ~ product(X_6392,e_5,e_2) ),
inference(resolution,[status(thm)],[c_577391,c_124]) ).
tff(c_577555,plain,
product(e_4,e_2,e_1),
inference(resolution,[status(thm)],[c_576646,c_577551]) ).
tff(c_575551,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_575504,c_122]) ).
tff(c_577560,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_577555,c_575551]) ).
tff(c_577588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_577560]) ).
tff(c_577589,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_576668]) ).
tff(c_577591,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_577589]) ).
tff(c_577811,plain,
! [X_6398] :
( product(X_6398,e_2,e_5)
| ~ product(X_6398,e_5,e_2) ),
inference(resolution,[status(thm)],[c_577591,c_124]) ).
tff(c_577815,plain,
product(e_4,e_2,e_5),
inference(resolution,[status(thm)],[c_576646,c_577811]) ).
tff(c_577817,plain,
( equalish(e_2,e_1)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_577815,c_1940]) ).
tff(c_577837,plain,
( equalish(e_2,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_577817]) ).
tff(c_577838,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_577837]) ).
tff(c_578357,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_577838]) ).
tff(c_578453,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_578357,c_2268]) ).
tff(c_578507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_578453]) ).
tff(c_578508,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_577838]) ).
tff(c_578836,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_578508]) ).
tff(c_579117,plain,
! [X_6423] :
( product(X_6423,e_4,e_4)
| ~ product(X_6423,e_1,e_4) ),
inference(resolution,[status(thm)],[c_578836,c_124]) ).
tff(c_578940,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_578836,c_120]) ).
tff(c_579121,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_579117,c_578940]) ).
tff(c_579157,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_578836,c_579121]) ).
tff(c_579159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_579157]) ).
tff(c_579160,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_578508]) ).
tff(c_579169,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_579160]) ).
tff(c_576674,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_4,W_11,e_2) ),
inference(resolution,[status(thm)],[c_576646,c_120]) ).
tff(c_579176,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_579169,c_576674]) ).
tff(c_579224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_579176]) ).
tff(c_579225,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_579160]) ).
tff(c_579367,plain,
! [W_6425] :
( equalish(W_6425,e_4)
| ~ product(W_6425,e_1,e_3) ),
inference(resolution,[status(thm)],[c_579225,c_122]) ).
tff(c_579374,plain,
( equalish(e_6,e_4)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_574862,c_579367]) ).
tff(c_579382,plain,
( equalish(e_6,e_4)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_579374]) ).
tff(c_579383,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_62,c_112,c_579382]) ).
tff(c_579587,plain,
product(e_6,e_1,e_1),
inference(splitLeft,[status(thm)],[c_579383]) ).
tff(c_579594,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_579587,c_575550]) ).
tff(c_579647,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_579594]) ).
tff(c_579648,plain,
product(e_6,e_1,e_2),
inference(splitRight,[status(thm)],[c_579383]) ).
tff(c_576759,plain,
! [X_6369] :
( product(X_6369,e_4,e_2)
| ~ product(X_6369,e_5,e_4) ),
inference(resolution,[status(thm)],[c_576646,c_124]) ).
tff(c_576767,plain,
product(e_6,e_4,e_2),
inference(resolution,[status(thm)],[c_574795,c_576759]) ).
tff(c_576799,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_6,W_11,e_2) ),
inference(resolution,[status(thm)],[c_576767,c_120]) ).
tff(c_579680,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_579648,c_576799]) ).
tff(c_579728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_579680]) ).
tff(c_579729,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_577589]) ).
tff(c_579780,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_579729]) ).
tff(c_576675,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_576646,c_122]) ).
tff(c_579785,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_579780,c_576675]) ).
tff(c_579805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_579785]) ).
tff(c_579806,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_579729]) ).
tff(c_579808,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_579806]) ).
tff(c_574839,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_574795,c_122]) ).
tff(c_579816,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_579808,c_574839]) ).
tff(c_579837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_579816]) ).
tff(c_579838,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_579806]) ).
tff(c_579845,plain,
( equalish(e_5,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_579838,c_312]) ).
tff(c_579865,plain,
( equalish(e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_579845]) ).
tff(c_579867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_96,c_579865]) ).
tff(c_579868,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_576595]) ).
tff(c_579877,plain,
product(e_4,e_5,e_4),
inference(splitLeft,[status(thm)],[c_579868]) ).
tff(c_579882,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_579877,c_574839]) ).
tff(c_579902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_579882]) ).
tff(c_579903,plain,
product(e_4,e_5,e_3),
inference(splitRight,[status(thm)],[c_579868]) ).
tff(c_579940,plain,
! [W_6433] :
( equalish(W_6433,e_5)
| ~ product(e_4,W_6433,e_3) ),
inference(resolution,[status(thm)],[c_579903,c_120]) ).
tff(c_579947,plain,
( equalish(e_6,e_5)
| equalish(e_4,e_5)
| equalish(e_4,e_6)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_574670,c_579940]) ).
tff(c_579960,plain,
( equalish(e_6,e_5)
| equalish(e_4,e_5)
| equalish(e_4,e_6)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_579947]) ).
tff(c_579961,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_94,c_92,c_114,c_579960]) ).
tff(c_580105,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_579961]) ).
tff(c_580502,plain,
! [X_6447] :
( product(X_6447,e_4,e_1)
| ~ product(X_6447,e_6,e_4) ),
inference(resolution,[status(thm)],[c_580105,c_124]) ).
tff(c_580517,plain,
product(e_5,e_4,e_1),
inference(resolution,[status(thm)],[c_574604,c_580502]) ).
tff(c_580808,plain,
! [X_6455] :
( product(X_6455,e_5,e_1)
| ~ product(X_6455,e_4,e_5) ),
inference(resolution,[status(thm)],[c_580517,c_124]) ).
tff(c_580842,plain,
( equalish(e_5,e_1)
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[c_580808,c_2267]) ).
tff(c_580882,plain,
~ product(e_1,e_4,e_5),
inference(negUnitSimplification,[status(thm)],[c_96,c_580842]) ).
tff(c_580092,plain,
! [X_6438] :
( product(X_6438,e_4,e_3)
| ~ product(X_6438,e_5,e_4) ),
inference(resolution,[status(thm)],[c_579903,c_124]) ).
tff(c_580100,plain,
product(e_6,e_4,e_3),
inference(resolution,[status(thm)],[c_574795,c_580092]) ).
tff(c_580675,plain,
! [X_6451] :
( product(X_6451,e_6,e_3)
| ~ product(X_6451,e_4,e_6) ),
inference(resolution,[status(thm)],[c_580100,c_124]) ).
tff(c_581459,plain,
! [X_6470,X_6471] :
( product(X_6470,X_6471,e_3)
| ~ product(X_6470,e_6,X_6471)
| ~ product(X_6471,e_4,e_6) ),
inference(resolution,[status(thm)],[c_580675,c_124]) ).
tff(c_581509,plain,
( product(e_4,e_1,e_3)
| ~ product(e_1,e_4,e_6) ),
inference(resolution,[status(thm)],[c_580105,c_581459]) ).
tff(c_581550,plain,
~ product(e_1,e_4,e_6),
inference(splitLeft,[status(thm)],[c_581509]) ).
tff(c_581553,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_581550]) ).
tff(c_581556,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_581553]) ).
tff(c_581557,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_580882,c_581556]) ).
tff(c_581844,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_581557]) ).
tff(c_580561,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_580517,c_122]) ).
tff(c_581849,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_581844,c_580561]) ).
tff(c_581877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_581849]) ).
tff(c_581878,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_581557]) ).
tff(c_581989,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_581878]) ).
tff(c_582128,plain,
! [X_6483] :
( product(X_6483,e_1,e_4)
| ~ product(X_6483,e_4,e_1) ),
inference(resolution,[status(thm)],[c_581989,c_124]) ).
tff(c_582132,plain,
product(e_5,e_1,e_4),
inference(resolution,[status(thm)],[c_580517,c_582128]) ).
tff(c_574632,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_5,W_11,e_4) ),
inference(resolution,[status(thm)],[c_574604,c_120]) ).
tff(c_582141,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_582132,c_574632]) ).
tff(c_582200,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_582141]) ).
tff(c_582201,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_581878]) ).
tff(c_582203,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_582201]) ).
tff(c_582316,plain,
! [X_6487] :
( product(X_6487,e_1,e_2)
| ~ product(X_6487,e_4,e_1) ),
inference(resolution,[status(thm)],[c_582203,c_124]) ).
tff(c_582320,plain,
product(e_5,e_1,e_2),
inference(resolution,[status(thm)],[c_580517,c_582316]) ).
tff(c_582345,plain,
( product(e_5,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_582320,c_219]) ).
tff(c_582402,plain,
( product(e_5,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_582345]) ).
tff(c_582403,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_575745,c_582402]) ).
tff(c_583863,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_582403]) ).
tff(c_584296,plain,
! [X_6521] :
( product(X_6521,e_2,e_3)
| ~ product(X_6521,e_1,e_2) ),
inference(resolution,[status(thm)],[c_583863,c_124]) ).
tff(c_575552,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_6,e_2,W_8) ),
inference(resolution,[status(thm)],[c_575504,c_118]) ).
tff(c_584327,plain,
( equalish(e_3,e_1)
| ~ product(e_6,e_1,e_2) ),
inference(resolution,[status(thm)],[c_584296,c_575552]) ).
tff(c_584374,plain,
~ product(e_6,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_76,c_584327]) ).
tff(c_584144,plain,
! [W_6519] :
( equalish(W_6519,e_2)
| ~ product(W_6519,e_1,e_3) ),
inference(resolution,[status(thm)],[c_583863,c_122]) ).
tff(c_584151,plain,
( equalish(e_6,e_2)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_574862,c_584144]) ).
tff(c_584159,plain,
( equalish(e_6,e_2)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_584151]) ).
tff(c_584160,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_62,c_108,c_584159]) ).
tff(c_584722,plain,
product(e_6,e_1,e_1),
inference(negUnitSimplification,[status(thm)],[c_584374,c_584160]) ).
tff(c_584733,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_584722,c_575550]) ).
tff(c_584792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_584733]) ).
tff(c_584794,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_582403]) ).
tff(c_584797,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_584794]) ).
tff(c_584800,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_584797]) ).
tff(c_584802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_584800]) ).
tff(c_584804,plain,
~ product(e_6,e_2,e_1),
inference(splitRight,[status(thm)],[c_575462]) ).
tff(c_598917,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_575253]) ).
tff(c_584803,plain,
! [X_138] :
( product(e_6,e_2,e_2)
| equalish(e_6,X_138)
| ~ next(X_138,e_2)
| product(X_138,e_1,e_1)
| ~ group_element(X_138) ),
inference(splitRight,[status(thm)],[c_575462]) ).
tff(c_584805,plain,
product(e_6,e_2,e_2),
inference(splitLeft,[status(thm)],[c_584803]) ).
tff(c_584962,plain,
! [X_6528] :
( product(X_6528,e_6,e_2)
| ~ product(X_6528,e_2,e_6) ),
inference(resolution,[status(thm)],[c_584805,c_124]) ).
tff(c_584975,plain,
( equalish(e_2,e_4)
| ~ product(e_5,e_2,e_6) ),
inference(resolution,[status(thm)],[c_584962,c_574634]) ).
tff(c_585006,plain,
~ product(e_5,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_70,c_584975]) ).
tff(c_585073,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_585006]) ).
tff(c_585076,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_46,c_585073]) ).
tff(c_586728,plain,
product(e_5,e_2,e_1),
inference(splitLeft,[status(thm)],[c_585076]) ).
tff(c_586902,plain,
! [X_6579] :
( product(X_6579,e_5,e_1)
| ~ product(X_6579,e_2,e_5) ),
inference(resolution,[status(thm)],[c_586728,c_124]) ).
tff(c_575014,plain,
! [X_18,X_6323] :
( product(X_18,X_6323,e_4)
| ~ product(X_18,e_6,X_6323)
| ~ product(X_6323,e_5,e_6) ),
inference(resolution,[status(thm)],[c_574961,c_124]) ).
tff(c_585000,plain,
! [X_6528] :
( product(X_6528,e_2,e_4)
| ~ product(e_2,e_5,e_6)
| ~ product(X_6528,e_2,e_6) ),
inference(resolution,[status(thm)],[c_584962,c_575014]) ).
tff(c_585311,plain,
~ product(e_2,e_5,e_6),
inference(splitLeft,[status(thm)],[c_585000]) ).
tff(c_585314,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_585311]) ).
tff(c_585317,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_52,c_585314]) ).
tff(c_586225,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_585317]) ).
tff(c_585333,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_575253]) ).
tff(c_585368,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_585333,c_122]) ).
tff(c_586230,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_586225,c_585368]) ).
tff(c_586253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_586230]) ).
tff(c_586254,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_585317]) ).
tff(c_586256,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_586254]) ).
tff(c_586286,plain,
! [W_8] :
( equalish(W_8,e_5)
| ~ product(e_2,e_5,W_8) ),
inference(resolution,[status(thm)],[c_586256,c_118]) ).
tff(c_586914,plain,
( equalish(e_1,e_5)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[c_586902,c_586286]) ).
tff(c_586968,plain,
~ product(e_2,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_62,c_586914]) ).
tff(c_584844,plain,
! [X_18] :
( product(X_18,e_6,e_2)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_584805,c_124]) ).
tff(c_585219,plain,
! [X_6538,X_6539] :
( product(X_6538,X_6539,e_2)
| ~ product(X_6538,e_6,X_6539)
| ~ product(X_6539,e_2,e_6) ),
inference(resolution,[status(thm)],[c_584962,c_124]) ).
tff(c_585264,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_2,e_6)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_584844,c_585219]) ).
tff(c_585318,plain,
~ product(e_2,e_2,e_6),
inference(splitLeft,[status(thm)],[c_585264]) ).
tff(c_585329,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_585318]) ).
tff(c_585332,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_585329]) ).
tff(c_587599,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_586968,c_585332]) ).
tff(c_587600,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_587599]) ).
tff(c_586779,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_586728,c_122]) ).
tff(c_587605,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_587600,c_586779]) ).
tff(c_587638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_587605]) ).
tff(c_587639,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_587599]) ).
tff(c_587641,plain,
product(e_2,e_2,e_4),
inference(splitLeft,[status(thm)],[c_587639]) ).
tff(c_587801,plain,
! [X_6596] :
( product(X_6596,e_2,e_4)
| ~ product(X_6596,e_2,e_2) ),
inference(resolution,[status(thm)],[c_587641,c_124]) ).
tff(c_584847,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_6,e_2,W_8) ),
inference(resolution,[status(thm)],[c_584805,c_118]) ).
tff(c_587820,plain,
( equalish(e_4,e_2)
| ~ product(e_6,e_2,e_2) ),
inference(resolution,[status(thm)],[c_587801,c_584847]) ).
tff(c_587860,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_584805,c_587820]) ).
tff(c_587862,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_587860]) ).
tff(c_587863,plain,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_587639]) ).
tff(c_587974,plain,
product(e_2,e_2,e_2),
inference(splitLeft,[status(thm)],[c_587863]) ).
tff(c_584846,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_584805,c_122]) ).
tff(c_587979,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_587974,c_584846]) ).
tff(c_588004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_587979]) ).
tff(c_588005,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_587863]) ).
tff(c_588019,plain,
( equalish(e_2,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_588005,c_312]) ).
tff(c_588047,plain,
( equalish(e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_588019]) ).
tff(c_588049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_66,c_588047]) ).
tff(c_588050,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_585076]) ).
tff(c_588052,plain,
product(e_5,e_2,e_5),
inference(splitLeft,[status(thm)],[c_588050]) ).
tff(c_588286,plain,
! [X_6602] :
( product(X_6602,e_5,e_5)
| ~ product(X_6602,e_2,e_5) ),
inference(resolution,[status(thm)],[c_588052,c_124]) ).
tff(c_588092,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_588052,c_120]) ).
tff(c_588290,plain,
( equalish(e_5,e_2)
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[c_588286,c_588092]) ).
tff(c_588330,plain,
equalish(e_5,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_588052,c_588290]) ).
tff(c_588332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_588330]) ).
tff(c_588333,plain,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_588050]) ).
tff(c_588377,plain,
product(e_5,e_2,e_2),
inference(splitLeft,[status(thm)],[c_588333]) ).
tff(c_588382,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_588377,c_584846]) ).
tff(c_588407,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_588382]) ).
tff(c_588408,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_588333]) ).
tff(c_588410,plain,
product(e_5,e_2,e_4),
inference(splitLeft,[status(thm)],[c_588408]) ).
tff(c_588415,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_588410,c_574632]) ).
tff(c_588441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_588415]) ).
tff(c_588442,plain,
product(e_5,e_2,e_3),
inference(splitRight,[status(thm)],[c_588408]) ).
tff(c_588608,plain,
! [X_6606] :
( product(X_6606,e_5,e_3)
| ~ product(X_6606,e_2,e_5) ),
inference(resolution,[status(thm)],[c_588442,c_124]) ).
tff(c_588616,plain,
( equalish(e_3,e_5)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[c_588608,c_586286]) ).
tff(c_588645,plain,
~ product(e_2,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_82,c_588616]) ).
tff(c_590513,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_588645,c_585332]) ).
tff(c_590514,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_590513]) ).
tff(c_586287,plain,
! [W_6565] :
( equalish(W_6565,e_5)
| ~ product(e_2,W_6565,e_5) ),
inference(resolution,[status(thm)],[c_586256,c_120]) ).
tff(c_586298,plain,
( equalish(e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_497938,c_586287]) ).
tff(c_586330,plain,
( equalish(e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_586298]) ).
tff(c_586331,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_586330]) ).
tff(c_586471,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_586331]) ).
tff(c_586538,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_1) ),
inference(resolution,[status(thm)],[c_586471,c_120]) ).
tff(c_590523,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_590514,c_586538]) ).
tff(c_590559,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_590523]) ).
tff(c_590560,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_590513]) ).
tff(c_590562,plain,
product(e_2,e_2,e_4),
inference(splitLeft,[status(thm)],[c_590560]) ).
tff(c_590722,plain,
! [X_6673] :
( product(X_6673,e_2,e_4)
| ~ product(X_6673,e_2,e_2) ),
inference(resolution,[status(thm)],[c_590562,c_124]) ).
tff(c_590744,plain,
( equalish(e_4,e_2)
| ~ product(e_6,e_2,e_2) ),
inference(resolution,[status(thm)],[c_590722,c_584847]) ).
tff(c_590784,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_584805,c_590744]) ).
tff(c_590786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_590784]) ).
tff(c_590787,plain,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_590560]) ).
tff(c_590789,plain,
product(e_2,e_2,e_2),
inference(splitLeft,[status(thm)],[c_590787]) ).
tff(c_590794,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_590789,c_584846]) ).
tff(c_590819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_590794]) ).
tff(c_590820,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_590787]) ).
tff(c_588490,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_3) ),
inference(resolution,[status(thm)],[c_588442,c_122]) ).
tff(c_590826,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_590820,c_588490]) ).
tff(c_590855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_590826]) ).
tff(c_590856,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_586331]) ).
tff(c_590862,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_590856]) ).
tff(c_574633,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_6,e_4) ),
inference(resolution,[status(thm)],[c_574604,c_122]) ).
tff(c_590884,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_590862,c_574633]) ).
tff(c_590914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_590884]) ).
tff(c_590915,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_590856]) ).
tff(c_590928,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_590915]) ).
tff(c_591124,plain,
! [X_6677] :
( product(X_6677,e_2,e_2)
| ~ product(X_6677,e_6,e_2) ),
inference(resolution,[status(thm)],[c_590928,c_124]) ).
tff(c_591131,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_590928,c_591124]) ).
tff(c_590987,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_590928,c_120]) ).
tff(c_591135,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_591131,c_590987]) ).
tff(c_591163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_591135]) ).
tff(c_591164,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_590915]) ).
tff(c_591190,plain,
( equalish(e_6,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_591164,c_312]) ).
tff(c_591219,plain,
( equalish(e_6,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_591190]) ).
tff(c_591221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_106,c_591219]) ).
tff(c_591222,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_586254]) ).
tff(c_591266,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_591222]) ).
tff(c_591389,plain,
! [X_6681] :
( product(X_6681,e_2,e_2)
| ~ product(X_6681,e_5,e_2) ),
inference(resolution,[status(thm)],[c_591266,c_124]) ).
tff(c_591393,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_591266,c_591389]) ).
tff(c_591298,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_591266,c_120]) ).
tff(c_591396,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_591393,c_591298]) ).
tff(c_591424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_591396]) ).
tff(c_591425,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_591222]) ).
tff(c_591427,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_591425]) ).
tff(c_591435,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_591427,c_574839]) ).
tff(c_591456,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_591435]) ).
tff(c_591457,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_591425]) ).
tff(c_591464,plain,
( equalish(e_5,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_591457,c_312]) ).
tff(c_591484,plain,
( equalish(e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_591464]) ).
tff(c_591486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_96,c_591484]) ).
tff(c_591487,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_575253]) ).
tff(c_591489,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_591487]) ).
tff(c_591702,plain,
! [X_6685] :
( product(X_6685,e_4,e_5)
| ~ product(X_6685,e_5,e_4) ),
inference(resolution,[status(thm)],[c_591489,c_124]) ).
tff(c_591710,plain,
product(e_6,e_4,e_5),
inference(resolution,[status(thm)],[c_574795,c_591702]) ).
tff(c_591719,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_591710,c_497787]) ).
tff(c_591739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_591719]) ).
tff(c_591740,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_591487]) ).
tff(c_591887,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_591740]) ).
tff(c_592010,plain,
! [X_6691] :
( product(X_6691,e_4,e_2)
| ~ product(X_6691,e_5,e_4) ),
inference(resolution,[status(thm)],[c_591887,c_124]) ).
tff(c_592018,plain,
product(e_6,e_4,e_2),
inference(resolution,[status(thm)],[c_574795,c_592010]) ).
tff(c_584845,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_6,W_11,e_2) ),
inference(resolution,[status(thm)],[c_584805,c_120]) ).
tff(c_592027,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_592018,c_584845]) ).
tff(c_592047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_592027]) ).
tff(c_592048,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_591740]) ).
tff(c_592061,plain,
product(e_4,e_5,e_4),
inference(splitLeft,[status(thm)],[c_592048]) ).
tff(c_592066,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_592061,c_574839]) ).
tff(c_592086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_592066]) ).
tff(c_592087,plain,
product(e_4,e_5,e_3),
inference(splitRight,[status(thm)],[c_592048]) ).
tff(c_592230,plain,
! [X_6697] :
( product(X_6697,e_4,e_3)
| ~ product(X_6697,e_5,e_4) ),
inference(resolution,[status(thm)],[c_592087,c_124]) ).
tff(c_592238,plain,
product(e_6,e_4,e_3),
inference(resolution,[status(thm)],[c_574795,c_592230]) ).
tff(c_594875,plain,
! [W_6753] :
( equalish(W_6753,e_4)
| ~ product(e_6,W_6753,e_3) ),
inference(resolution,[status(thm)],[c_592238,c_120]) ).
tff(c_597238,plain,
! [Y_6814] :
( equalish(Y_6814,e_4)
| equalish(Y_6814,e_5)
| equalish(Y_6814,e_6)
| product(e_6,Y_6814,e_2)
| product(e_6,Y_6814,e_1)
| ~ group_element(Y_6814) ),
inference(resolution,[status(thm)],[c_574862,c_594875]) ).
tff(c_597366,plain,
( product(e_6,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2)
| equalish(e_1,e_4)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_597238,c_311]) ).
tff(c_597528,plain,
( product(e_6,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| equalish(e_1,e_4)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_4,c_597366]) ).
tff(c_597529,plain,
( product(e_6,e_2,e_3)
| product(e_6,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_62,c_60,c_1276,c_1484,c_597528]) ).
tff(c_597546,plain,
product(e_6,e_1,e_1),
inference(splitLeft,[status(thm)],[c_597529]) ).
tff(c_592124,plain,
! [W_6694] :
( equalish(W_6694,e_5)
| ~ product(e_4,W_6694,e_3) ),
inference(resolution,[status(thm)],[c_592087,c_120]) ).
tff(c_592131,plain,
( equalish(e_6,e_5)
| equalish(e_4,e_5)
| equalish(e_4,e_6)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_574670,c_592124]) ).
tff(c_592144,plain,
( equalish(e_6,e_5)
| equalish(e_4,e_5)
| equalish(e_4,e_6)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_592131]) ).
tff(c_592145,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_94,c_92,c_114,c_592144]) ).
tff(c_592243,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_592145]) ).
tff(c_592613,plain,
! [X_6704] :
( product(X_6704,e_4,e_1)
| ~ product(X_6704,e_6,e_4) ),
inference(resolution,[status(thm)],[c_592243,c_124]) ).
tff(c_592628,plain,
product(e_5,e_4,e_1),
inference(resolution,[status(thm)],[c_574604,c_592613]) ).
tff(c_592930,plain,
! [X_6712] :
( product(X_6712,e_5,e_1)
| ~ product(X_6712,e_4,e_5) ),
inference(resolution,[status(thm)],[c_592628,c_124]) ).
tff(c_593779,plain,
! [X_6732,X_6733] :
( product(X_6732,X_6733,e_1)
| ~ product(X_6732,e_5,X_6733)
| ~ product(X_6733,e_4,e_5) ),
inference(resolution,[status(thm)],[c_592930,c_124]) ).
tff(c_593817,plain,
( product(e_4,e_3,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[c_592087,c_593779]) ).
tff(c_593851,plain,
~ product(e_3,e_4,e_5),
inference(splitLeft,[status(thm)],[c_593817]) ).
tff(c_592333,plain,
! [X_18] :
( product(X_18,e_6,e_3)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_592238,c_124]) ).
tff(c_592790,plain,
! [X_6708] :
( product(X_6708,e_6,e_3)
| ~ product(X_6708,e_4,e_6) ),
inference(resolution,[status(thm)],[c_592238,c_124]) ).
tff(c_593613,plain,
! [X_6728,X_6729] :
( product(X_6728,X_6729,e_3)
| ~ product(X_6728,e_6,X_6729)
| ~ product(X_6729,e_4,e_6) ),
inference(resolution,[status(thm)],[c_592790,c_124]) ).
tff(c_593662,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_4,e_6)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_592333,c_593613]) ).
tff(c_593888,plain,
~ product(e_3,e_4,e_6),
inference(splitLeft,[status(thm)],[c_593662]) ).
tff(c_593891,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_593888]) ).
tff(c_593894,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_50,c_593891]) ).
tff(c_593895,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_593851,c_593894]) ).
tff(c_593949,plain,
product(e_3,e_4,e_1),
inference(splitLeft,[status(thm)],[c_593895]) ).
tff(c_592668,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_592628,c_122]) ).
tff(c_593954,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_593949,c_592668]) ).
tff(c_593977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_593954]) ).
tff(c_593978,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_593895]) ).
tff(c_594089,plain,
product(e_3,e_4,e_4),
inference(splitLeft,[status(thm)],[c_593978]) ).
tff(c_594228,plain,
! [X_6741] :
( product(X_6741,e_3,e_4)
| ~ product(X_6741,e_4,e_3) ),
inference(resolution,[status(thm)],[c_594089,c_124]) ).
tff(c_594236,plain,
product(e_6,e_3,e_4),
inference(resolution,[status(thm)],[c_592238,c_594228]) ).
tff(c_574838,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_4) ),
inference(resolution,[status(thm)],[c_574795,c_120]) ).
tff(c_594245,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_594236,c_574838]) ).
tff(c_594265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_594245]) ).
tff(c_594266,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_593978]) ).
tff(c_594268,plain,
product(e_3,e_4,e_2),
inference(splitLeft,[status(thm)],[c_594266]) ).
tff(c_594391,plain,
! [X_6745] :
( product(X_6745,e_3,e_2)
| ~ product(X_6745,e_4,e_3) ),
inference(resolution,[status(thm)],[c_594268,c_124]) ).
tff(c_594399,plain,
product(e_6,e_3,e_2),
inference(resolution,[status(thm)],[c_592238,c_594391]) ).
tff(c_594408,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_594399,c_584845]) ).
tff(c_594428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_594408]) ).
tff(c_594429,plain,
product(e_3,e_4,e_3),
inference(splitRight,[status(thm)],[c_594266]) ).
tff(c_592335,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_3) ),
inference(resolution,[status(thm)],[c_592238,c_122]) ).
tff(c_594435,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_594429,c_592335]) ).
tff(c_594457,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_594435]) ).
tff(c_594459,plain,
product(e_3,e_4,e_6),
inference(splitRight,[status(thm)],[c_593662]) ).
tff(c_594586,plain,
! [X_6749] :
( product(X_6749,e_3,e_3)
| ~ product(X_6749,e_4,e_6) ),
inference(splitRight,[status(thm)],[c_593662]) ).
tff(c_594594,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_594459,c_594586]) ).
tff(c_592885,plain,
! [W_11,X_6708] :
( equalish(W_11,e_6)
| ~ product(X_6708,W_11,e_3)
| ~ product(X_6708,e_4,e_6) ),
inference(resolution,[status(thm)],[c_592790,c_120]) ).
tff(c_594599,plain,
( equalish(e_3,e_6)
| ~ product(e_3,e_4,e_6) ),
inference(resolution,[status(thm)],[c_594594,c_592885]) ).
tff(c_594618,plain,
equalish(e_3,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_594459,c_594599]) ).
tff(c_594620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_594618]) ).
tff(c_594621,plain,
product(e_4,e_3,e_1),
inference(splitRight,[status(thm)],[c_593817]) ).
tff(c_592299,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_4,W_11,e_1) ),
inference(resolution,[status(thm)],[c_592243,c_120]) ).
tff(c_594627,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_594621,c_592299]) ).
tff(c_594650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_594627]) ).
tff(c_594651,plain,
product(e_4,e_6,e_2),
inference(splitRight,[status(thm)],[c_592145]) ).
tff(c_595141,plain,
! [X_6759] :
( product(X_6759,e_4,e_2)
| ~ product(X_6759,e_6,e_4) ),
inference(resolution,[status(thm)],[c_594651,c_124]) ).
tff(c_595156,plain,
product(e_5,e_4,e_2),
inference(resolution,[status(thm)],[c_574604,c_595141]) ).
tff(c_595309,plain,
! [X_6766] :
( product(X_6766,e_5,e_2)
| ~ product(X_6766,e_4,e_5) ),
inference(resolution,[status(thm)],[c_595156,c_124]) ).
tff(c_596096,plain,
! [X_6786,X_6787] :
( product(X_6786,X_6787,e_2)
| ~ product(X_6786,e_5,X_6787)
| ~ product(X_6787,e_4,e_5) ),
inference(resolution,[status(thm)],[c_595309,c_124]) ).
tff(c_596134,plain,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[c_592087,c_596096]) ).
tff(c_596168,plain,
~ product(e_3,e_4,e_5),
inference(splitLeft,[status(thm)],[c_596134]) ).
tff(c_594684,plain,
! [X_18] :
( product(X_18,e_6,e_3)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_592238,c_124]) ).
tff(c_595025,plain,
! [X_6758] :
( product(X_6758,e_6,e_3)
| ~ product(X_6758,e_4,e_6) ),
inference(resolution,[status(thm)],[c_592238,c_124]) ).
tff(c_595945,plain,
! [X_6782,X_6783] :
( product(X_6782,X_6783,e_3)
| ~ product(X_6782,e_6,X_6783)
| ~ product(X_6783,e_4,e_6) ),
inference(resolution,[status(thm)],[c_595025,c_124]) ).
tff(c_595994,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_4,e_6)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_594684,c_595945]) ).
tff(c_596212,plain,
~ product(e_3,e_4,e_6),
inference(splitLeft,[status(thm)],[c_595994]) ).
tff(c_596215,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_596212]) ).
tff(c_596218,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_50,c_596215]) ).
tff(c_596219,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_596168,c_596218]) ).
tff(c_596425,plain,
product(e_3,e_4,e_1),
inference(splitLeft,[status(thm)],[c_596219]) ).
tff(c_596568,plain,
! [X_6795] :
( product(X_6795,e_3,e_1)
| ~ product(X_6795,e_4,e_3) ),
inference(resolution,[status(thm)],[c_596425,c_124]) ).
tff(c_596576,plain,
product(e_6,e_3,e_1),
inference(resolution,[status(thm)],[c_592238,c_596568]) ).
tff(c_596614,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_6,W_11,e_1) ),
inference(resolution,[status(thm)],[c_596576,c_120]) ).
tff(c_597551,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_597546,c_596614]) ).
tff(c_597604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_597551]) ).
tff(c_597605,plain,
product(e_6,e_2,e_3),
inference(splitRight,[status(thm)],[c_597529]) ).
tff(c_594685,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_6,W_11,e_3) ),
inference(resolution,[status(thm)],[c_592238,c_120]) ).
tff(c_597724,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_597605,c_594685]) ).
tff(c_597756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_597724]) ).
tff(c_597757,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_596219]) ).
tff(c_597767,plain,
product(e_3,e_4,e_4),
inference(splitLeft,[status(thm)],[c_597757]) ).
tff(c_597906,plain,
! [X_6819] :
( product(X_6819,e_3,e_4)
| ~ product(X_6819,e_4,e_3) ),
inference(resolution,[status(thm)],[c_597767,c_124]) ).
tff(c_597914,plain,
product(e_6,e_3,e_4),
inference(resolution,[status(thm)],[c_592238,c_597906]) ).
tff(c_597923,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_597914,c_574838]) ).
tff(c_597943,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_597923]) ).
tff(c_597944,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_597757]) ).
tff(c_597946,plain,
product(e_3,e_4,e_2),
inference(splitLeft,[status(thm)],[c_597944]) ).
tff(c_595194,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_4,e_2) ),
inference(resolution,[status(thm)],[c_595156,c_122]) ).
tff(c_597951,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_597946,c_595194]) ).
tff(c_597973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_597951]) ).
tff(c_597974,plain,
product(e_3,e_4,e_3),
inference(splitRight,[status(thm)],[c_597944]) ).
tff(c_594686,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_3) ),
inference(resolution,[status(thm)],[c_592238,c_122]) ).
tff(c_597980,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_597974,c_594686]) ).
tff(c_598002,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_597980]) ).
tff(c_598004,plain,
product(e_3,e_4,e_6),
inference(splitRight,[status(thm)],[c_595994]) ).
tff(c_598131,plain,
! [X_6823] :
( product(X_6823,e_3,e_3)
| ~ product(X_6823,e_4,e_6) ),
inference(splitRight,[status(thm)],[c_595994]) ).
tff(c_598139,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_598004,c_598131]) ).
tff(c_595120,plain,
! [W_11,X_6758] :
( equalish(W_11,e_6)
| ~ product(X_6758,W_11,e_3)
| ~ product(X_6758,e_4,e_6) ),
inference(resolution,[status(thm)],[c_595025,c_120]) ).
tff(c_598144,plain,
( equalish(e_3,e_6)
| ~ product(e_3,e_4,e_6) ),
inference(resolution,[status(thm)],[c_598139,c_595120]) ).
tff(c_598163,plain,
equalish(e_3,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_598004,c_598144]) ).
tff(c_598165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_598163]) ).
tff(c_598166,plain,
product(e_4,e_3,e_2),
inference(splitRight,[status(thm)],[c_596134]) ).
tff(c_594744,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_4,W_11,e_2) ),
inference(resolution,[status(thm)],[c_594651,c_120]) ).
tff(c_598172,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_598166,c_594744]) ).
tff(c_598194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_598172]) ).
tff(c_598196,plain,
product(e_2,e_2,e_6),
inference(splitRight,[status(thm)],[c_585264]) ).
tff(c_598349,plain,
! [X_6828] :
( product(X_6828,e_2,e_6)
| ~ product(X_6828,e_2,e_2) ),
inference(resolution,[status(thm)],[c_598196,c_124]) ).
tff(c_584966,plain,
( equalish(e_6,e_2)
| ~ product(e_6,e_2,e_6) ),
inference(resolution,[status(thm)],[c_584962,c_584845]) ).
tff(c_584999,plain,
~ product(e_6,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_108,c_584966]) ).
tff(c_598372,plain,
~ product(e_6,e_2,e_2),
inference(resolution,[status(thm)],[c_598349,c_584999]) ).
tff(c_598409,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_584805,c_598372]) ).
tff(c_598411,plain,
product(e_2,e_5,e_6),
inference(splitRight,[status(thm)],[c_585000]) ).
tff(c_575149,plain,
! [W_6329,X_6330] :
( equalish(W_6329,X_6330)
| ~ product(W_6329,e_6,e_4)
| ~ product(X_6330,e_5,e_6) ),
inference(resolution,[status(thm)],[c_574961,c_122]) ).
tff(c_575160,plain,
! [X_6330] :
( equalish(e_5,X_6330)
| ~ product(X_6330,e_5,e_6) ),
inference(resolution,[status(thm)],[c_574604,c_575149]) ).
tff(c_598420,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_598411,c_575160]) ).
tff(c_598448,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_598420]) ).
tff(c_598450,plain,
~ product(e_6,e_2,e_2),
inference(splitRight,[status(thm)],[c_584803]) ).
tff(c_599075,plain,
! [X_6853] :
( product(X_6853,e_4,e_1)
| ~ product(X_6853,e_5,e_4) ),
inference(resolution,[status(thm)],[c_598917,c_124]) ).
tff(c_599083,plain,
product(e_6,e_4,e_1),
inference(resolution,[status(thm)],[c_574795,c_599075]) ).
tff(c_599269,plain,
! [X_6857] :
( product(X_6857,e_6,e_1)
| ~ product(X_6857,e_4,e_6) ),
inference(resolution,[status(thm)],[c_599083,c_124]) ).
tff(c_599330,plain,
! [X_6857] :
( product(X_6857,e_1,e_4)
| ~ product(e_1,e_5,e_6)
| ~ product(X_6857,e_4,e_6) ),
inference(resolution,[status(thm)],[c_599269,c_575014]) ).
tff(c_599655,plain,
~ product(e_1,e_5,e_6),
inference(splitLeft,[status(thm)],[c_599330]) ).
tff(c_599658,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_599655]) ).
tff(c_599661,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_52,c_599658]) ).
tff(c_599671,plain,
product(e_1,e_5,e_1),
inference(splitLeft,[status(thm)],[c_599661]) ).
tff(c_598959,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_598917,c_122]) ).
tff(c_599676,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_599671,c_598959]) ).
tff(c_599705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_599676]) ).
tff(c_599706,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_599661]) ).
tff(c_599708,plain,
product(e_1,e_5,e_5),
inference(splitLeft,[status(thm)],[c_599706]) ).
tff(c_599915,plain,
! [X_6873] :
( product(X_6873,e_1,e_5)
| ~ product(X_6873,e_5,e_1) ),
inference(resolution,[status(thm)],[c_599708,c_124]) ).
tff(c_599919,plain,
product(e_4,e_1,e_5),
inference(resolution,[status(thm)],[c_598917,c_599915]) ).
tff(c_600024,plain,
! [W_6874] :
( equalish(W_6874,e_1)
| ~ product(e_4,W_6874,e_5) ),
inference(resolution,[status(thm)],[c_599919,c_120]) ).
tff(c_600035,plain,
( equalish(e_6,e_1)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_497938,c_600024]) ).
tff(c_600067,plain,
( equalish(e_6,e_1)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_600035]) ).
tff(c_600068,plain,
( product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_600067]) ).
tff(c_609186,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_600068]) ).
tff(c_600385,plain,
! [X_6879] :
( product(X_6879,e_4,e_5)
| ~ product(X_6879,e_1,e_4) ),
inference(resolution,[status(thm)],[c_599919,c_124]) ).
tff(c_600401,plain,
( equalish(e_4,e_6)
| ~ product(e_6,e_1,e_4) ),
inference(resolution,[status(thm)],[c_600385,c_497787]) ).
tff(c_600425,plain,
~ product(e_6,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_94,c_600401]) ).
tff(c_600451,plain,
( equalish(e_1,e_6)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_497819,c_600425]) ).
tff(c_600457,plain,
( equalish(e_1,e_6)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_600451]) ).
tff(c_600458,plain,
( product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_600457]) ).
tff(c_600767,plain,
product(e_6,e_1,e_1),
inference(splitLeft,[status(thm)],[c_600458]) ).
tff(c_599128,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_6,W_11,e_1) ),
inference(resolution,[status(thm)],[c_599083,c_120]) ).
tff(c_600774,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_600767,c_599128]) ).
tff(c_600837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_600774]) ).
tff(c_600838,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_600458]) ).
tff(c_600870,plain,
product(e_6,e_1,e_3),
inference(splitLeft,[status(thm)],[c_600838]) ).
tff(c_602121,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_600068]) ).
tff(c_598958,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_4,W_11,e_1) ),
inference(resolution,[status(thm)],[c_598917,c_120]) ).
tff(c_602141,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_602121,c_598958]) ).
tff(c_602180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_602141]) ).
tff(c_602181,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_600068]) ).
tff(c_602195,plain,
product(e_4,e_6,e_4),
inference(splitLeft,[status(thm)],[c_602181]) ).
tff(c_602217,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_602195,c_574633]) ).
tff(c_602247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_602217]) ).
tff(c_602248,plain,
( product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_602181]) ).
tff(c_602261,plain,
product(e_4,e_6,e_2),
inference(splitLeft,[status(thm)],[c_602248]) ).
tff(c_599733,plain,
! [W_6870] :
( equalish(W_6870,e_5)
| ~ product(e_1,W_6870,e_5) ),
inference(resolution,[status(thm)],[c_599708,c_120]) ).
tff(c_599744,plain,
( equalish(e_6,e_5)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_497938,c_599733]) ).
tff(c_599776,plain,
( equalish(e_6,e_5)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_599744]) ).
tff(c_599777,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_599776]) ).
tff(c_601785,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_599777]) ).
tff(c_598451,plain,
! [X_6829] :
( equalish(e_6,X_6829)
| ~ next(X_6829,e_2)
| product(X_6829,e_1,e_1)
| ~ group_element(X_6829) ),
inference(splitRight,[status(thm)],[c_584803]) ).
tff(c_598555,plain,
! [W_11,X_6829] :
( equalish(W_11,e_1)
| ~ product(X_6829,W_11,e_1)
| equalish(e_6,X_6829)
| ~ next(X_6829,e_2)
| ~ group_element(X_6829) ),
inference(resolution,[status(thm)],[c_598451,c_120]) ).
tff(c_601802,plain,
( equalish(e_6,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_601785,c_598555]) ).
tff(c_601840,plain,
equalish(e_6,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_601802]) ).
tff(c_601842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_601840]) ).
tff(c_601843,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_599777]) ).
tff(c_601849,plain,
product(e_1,e_6,e_4),
inference(splitLeft,[status(thm)],[c_601843]) ).
tff(c_601871,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_601849,c_574633]) ).
tff(c_601901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_601871]) ).
tff(c_601902,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_601843]) ).
tff(c_601915,plain,
product(e_1,e_6,e_2),
inference(splitLeft,[status(thm)],[c_601902]) ).
tff(c_601967,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_6,e_2) ),
inference(resolution,[status(thm)],[c_601915,c_122]) ).
tff(c_602265,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_602261,c_601967]) ).
tff(c_602298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_602265]) ).
tff(c_602299,plain,
product(e_4,e_6,e_3),
inference(splitRight,[status(thm)],[c_602248]) ).
tff(c_602547,plain,
! [X_6918] :
( product(X_6918,e_4,e_3)
| ~ product(X_6918,e_6,e_4) ),
inference(resolution,[status(thm)],[c_602299,c_124]) ).
tff(c_602562,plain,
product(e_5,e_4,e_3),
inference(resolution,[status(thm)],[c_574604,c_602547]) ).
tff(c_600433,plain,
! [X_18,X_6879] :
( product(X_18,X_6879,e_5)
| ~ product(X_18,e_4,X_6879)
| ~ product(X_6879,e_1,e_4) ),
inference(resolution,[status(thm)],[c_600385,c_124]) ).
tff(c_602593,plain,
( product(e_5,e_3,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_602562,c_600433]) ).
tff(c_603319,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_602593]) ).
tff(c_603322,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_603319]) ).
tff(c_603325,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_603322]) ).
tff(c_603643,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_603325]) ).
tff(c_603682,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_603643,c_2268]) ).
tff(c_603753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_603682]) ).
tff(c_603754,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_603325]) ).
tff(c_603865,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_603754]) ).
tff(c_600984,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_600870,c_122]) ).
tff(c_603949,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_603865,c_600984]) ).
tff(c_604012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_603949]) ).
tff(c_604013,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_603754]) ).
tff(c_604053,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_604013,c_311]) ).
tff(c_604122,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_604053]) ).
tff(c_604123,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_604122]) ).
tff(c_604558,plain,
! [W_6939] :
( equalish(W_6939,e_3)
| ~ product(W_6939,e_2,e_3) ),
inference(resolution,[status(thm)],[c_604123,c_122]) ).
tff(c_604565,plain,
( equalish(e_6,e_3)
| equalish(e_2,e_5)
| equalish(e_2,e_6)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_574862,c_604558]) ).
tff(c_604573,plain,
( equalish(e_6,e_3)
| equalish(e_2,e_5)
| equalish(e_2,e_6)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_604565]) ).
tff(c_604575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_584804,c_598450,c_74,c_72,c_110,c_604573]) ).
tff(c_604577,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_602593]) ).
tff(c_605326,plain,
! [X_6946] :
( product(X_6946,e_3,e_4)
| ~ product(X_6946,e_1,e_3) ),
inference(resolution,[status(thm)],[c_604577,c_124]) ).
tff(c_605340,plain,
( equalish(e_3,e_5)
| ~ product(e_6,e_1,e_3) ),
inference(resolution,[status(thm)],[c_605326,c_574838]) ).
tff(c_605369,plain,
equalish(e_3,e_5),
inference(demodulation,[status(thm),theory(equality)],[c_600870,c_605340]) ).
tff(c_605371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_605369]) ).
tff(c_605372,plain,
product(e_6,e_1,e_2),
inference(splitRight,[status(thm)],[c_600838]) ).
tff(c_605494,plain,
! [X_18] :
( product(X_18,e_6,e_2)
| ~ product(X_18,e_1,e_6) ),
inference(resolution,[status(thm)],[c_605372,c_124]) ).
tff(c_605935,plain,
! [X_6955] :
( product(X_6955,e_6,e_2)
| ~ product(X_6955,e_1,e_6) ),
inference(resolution,[status(thm)],[c_605372,c_124]) ).
tff(c_606474,plain,
! [X_6974,X_6975] :
( product(X_6974,X_6975,e_2)
| ~ product(X_6974,e_6,X_6975)
| ~ product(X_6975,e_1,e_6) ),
inference(resolution,[status(thm)],[c_605935,c_124]) ).
tff(c_606524,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_1,e_6)
| ~ product(X_18,e_1,e_6) ),
inference(resolution,[status(thm)],[c_605494,c_606474]) ).
tff(c_607046,plain,
~ product(e_2,e_1,e_6),
inference(splitLeft,[status(thm)],[c_606524]) ).
tff(c_607049,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_607046]) ).
tff(c_607052,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_607049]) ).
tff(c_607053,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_607052]) ).
tff(c_607054,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_607053]) ).
tff(c_607348,plain,
! [W_6986] :
( equalish(W_6986,e_1)
| ~ product(e_2,W_6986,e_3) ),
inference(resolution,[status(thm)],[c_607054,c_120]) ).
tff(c_607359,plain,
( equalish(e_6,e_1)
| equalish(e_2,e_5)
| equalish(e_2,e_6)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_574670,c_607348]) ).
tff(c_607374,plain,
( equalish(e_6,e_1)
| equalish(e_2,e_5)
| equalish(e_2,e_6)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_607359]) ).
tff(c_607375,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_74,c_72,c_106,c_607374]) ).
tff(c_607459,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_607375]) ).
tff(c_607544,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_607459,c_122]) ).
tff(c_609370,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_609186,c_607544]) ).
tff(c_609428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_609370]) ).
tff(c_609429,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_600068]) ).
tff(c_609437,plain,
product(e_4,e_6,e_4),
inference(splitLeft,[status(thm)],[c_609429]) ).
tff(c_609464,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_609437,c_574633]) ).
tff(c_609497,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_609464]) ).
tff(c_609498,plain,
( product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_609429]) ).
tff(c_609511,plain,
product(e_4,e_6,e_2),
inference(splitLeft,[status(thm)],[c_609498]) ).
tff(c_607542,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_6,e_2) ),
inference(resolution,[status(thm)],[c_607459,c_124]) ).
tff(c_609726,plain,
product(e_4,e_2,e_1),
inference(resolution,[status(thm)],[c_609511,c_607542]) ).
tff(c_609799,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_609726,c_598958]) ).
tff(c_609844,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_609799]) ).
tff(c_609845,plain,
product(e_4,e_6,e_3),
inference(splitRight,[status(thm)],[c_609498]) ).
tff(c_608619,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_599777]) ).
tff(c_605621,plain,
! [W_6950] :
( equalish(W_6950,e_6)
| ~ product(W_6950,e_1,e_2) ),
inference(resolution,[status(thm)],[c_605372,c_122]) ).
tff(c_606573,plain,
! [X_6976] :
( equalish(X_6976,e_6)
| ~ next(X_6976,e_2)
| product(X_6976,e_1,e_1)
| ~ group_element(X_6976) ),
inference(resolution,[status(thm)],[c_1730,c_605621]) ).
tff(c_606744,plain,
! [W_11,X_6976] :
( equalish(W_11,e_1)
| ~ product(X_6976,W_11,e_1)
| equalish(X_6976,e_6)
| ~ next(X_6976,e_2)
| ~ group_element(X_6976) ),
inference(resolution,[status(thm)],[c_606573,c_120]) ).
tff(c_608622,plain,
( equalish(e_6,e_1)
| equalish(e_1,e_6)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_608619,c_606744]) ).
tff(c_608677,plain,
( equalish(e_6,e_1)
| equalish(e_1,e_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_608622]) ).
tff(c_608679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_106,c_608677]) ).
tff(c_608680,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_599777]) ).
tff(c_608686,plain,
product(e_1,e_6,e_4),
inference(splitLeft,[status(thm)],[c_608680]) ).
tff(c_608715,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_608686,c_574633]) ).
tff(c_608748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_608715]) ).
tff(c_608749,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_608680]) ).
tff(c_608762,plain,
product(e_1,e_6,e_2),
inference(splitLeft,[status(thm)],[c_608749]) ).
tff(c_608805,plain,
product(e_1,e_2,e_1),
inference(resolution,[status(thm)],[c_608762,c_607542]) ).
tff(c_608840,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_6)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_608805,c_606744]) ).
tff(c_608887,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_608840]) ).
tff(c_608889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_66,c_608887]) ).
tff(c_608890,plain,
product(e_1,e_6,e_3),
inference(splitRight,[status(thm)],[c_608749]) ).
tff(c_608968,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_6,e_3) ),
inference(resolution,[status(thm)],[c_608890,c_122]) ).
tff(c_609853,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_609845,c_608968]) ).
tff(c_609899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_609853]) ).
tff(c_609900,plain,
product(e_2,e_6,e_2),
inference(splitRight,[status(thm)],[c_607375]) ).
tff(c_610141,plain,
! [X_7035] :
( product(X_7035,e_2,e_2)
| ~ product(X_7035,e_6,e_2) ),
inference(resolution,[status(thm)],[c_609900,c_124]) ).
tff(c_610148,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_609900,c_610141]) ).
tff(c_609972,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_609900,c_120]) ).
tff(c_610152,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_610148,c_609972]) ).
tff(c_610177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_610152]) ).
tff(c_610179,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_607053]) ).
tff(c_610182,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_610179]) ).
tff(c_610185,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_610182]) ).
tff(c_610187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_610185]) ).
tff(c_610188,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_599706]) ).
tff(c_610232,plain,
product(e_1,e_5,e_2),
inference(splitLeft,[status(thm)],[c_610188]) ).
tff(c_610344,plain,
! [X_7039] :
( product(X_7039,e_1,e_2)
| ~ product(X_7039,e_5,e_1) ),
inference(resolution,[status(thm)],[c_610232,c_124]) ).
tff(c_610348,plain,
product(e_4,e_1,e_2),
inference(resolution,[status(thm)],[c_598917,c_610344]) ).
tff(c_610376,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_610348,c_311]) ).
tff(c_610435,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_610376]) ).
tff(c_610436,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_610435]) ).
tff(c_610864,plain,
! [W_7047] :
( equalish(W_7047,e_4)
| ~ product(W_7047,e_2,e_3) ),
inference(resolution,[status(thm)],[c_610436,c_122]) ).
tff(c_610871,plain,
( equalish(e_6,e_4)
| equalish(e_2,e_5)
| equalish(e_2,e_6)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_574862,c_610864]) ).
tff(c_610879,plain,
( equalish(e_6,e_4)
| equalish(e_2,e_5)
| equalish(e_2,e_6)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_610871]) ).
tff(c_610881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_584804,c_598450,c_74,c_72,c_112,c_610879]) ).
tff(c_610882,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_610188]) ).
tff(c_610884,plain,
product(e_1,e_5,e_4),
inference(splitLeft,[status(thm)],[c_610882]) ).
tff(c_610892,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_610884,c_574839]) ).
tff(c_610913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_610892]) ).
tff(c_610914,plain,
product(e_1,e_5,e_3),
inference(splitRight,[status(thm)],[c_610882]) ).
tff(c_611096,plain,
! [X_7053] :
( product(X_7053,e_1,e_3)
| ~ product(X_7053,e_5,e_1) ),
inference(resolution,[status(thm)],[c_610914,c_124]) ).
tff(c_611100,plain,
product(e_4,e_1,e_3),
inference(resolution,[status(thm)],[c_598917,c_611096]) ).
tff(c_611209,plain,
! [W_7054] :
( equalish(W_7054,e_1)
| ~ product(e_4,W_7054,e_3) ),
inference(resolution,[status(thm)],[c_611100,c_120]) ).
tff(c_611216,plain,
( equalish(e_6,e_1)
| equalish(e_4,e_5)
| equalish(e_4,e_6)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_574670,c_611209]) ).
tff(c_611229,plain,
( equalish(e_6,e_1)
| equalish(e_4,e_5)
| equalish(e_4,e_6)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_611216]) ).
tff(c_611230,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_94,c_92,c_106,c_611229]) ).
tff(c_612584,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_611230]) ).
tff(c_612686,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_612584,c_598958]) ).
tff(c_612722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_612686]) ).
tff(c_612723,plain,
product(e_4,e_6,e_2),
inference(splitRight,[status(thm)],[c_611230]) ).
tff(c_610990,plain,
! [W_7050] :
( equalish(W_7050,e_5)
| ~ product(e_1,W_7050,e_3) ),
inference(resolution,[status(thm)],[c_610914,c_120]) ).
tff(c_610997,plain,
( equalish(e_6,e_5)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_574670,c_610990]) ).
tff(c_611010,plain,
( equalish(e_6,e_5)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_610997]) ).
tff(c_611011,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_62,c_114,c_611010]) ).
tff(c_611389,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_611011]) ).
tff(c_611401,plain,
( equalish(e_6,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_611389,c_598555]) ).
tff(c_611436,plain,
equalish(e_6,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_611401]) ).
tff(c_611438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_611436]) ).
tff(c_611439,plain,
product(e_1,e_6,e_2),
inference(splitRight,[status(thm)],[c_611011]) ).
tff(c_611541,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_6,e_2) ),
inference(resolution,[status(thm)],[c_611439,c_122]) ).
tff(c_612731,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_612723,c_611541]) ).
tff(c_612759,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_612731]) ).
tff(c_612761,plain,
product(e_1,e_5,e_6),
inference(splitRight,[status(thm)],[c_599330]) ).
tff(c_612770,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_612761,c_575160]) ).
tff(c_612797,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_612770]) ).
tff(c_612798,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_575253]) ).
tff(c_612839,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_612798]) ).
tff(c_613052,plain,
! [X_7081] :
( product(X_7081,e_4,e_5)
| ~ product(X_7081,e_5,e_4) ),
inference(resolution,[status(thm)],[c_612839,c_124]) ).
tff(c_613060,plain,
product(e_6,e_4,e_5),
inference(resolution,[status(thm)],[c_574795,c_613052]) ).
tff(c_613069,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_613060,c_497787]) ).
tff(c_613089,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_613069]) ).
tff(c_613090,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_612798]) ).
tff(c_613134,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_613090]) ).
tff(c_613246,plain,
! [X_7085] :
( product(X_7085,e_4,e_2)
| ~ product(X_7085,e_5,e_4) ),
inference(resolution,[status(thm)],[c_613134,c_124]) ).
tff(c_613254,plain,
product(e_6,e_4,e_2),
inference(resolution,[status(thm)],[c_574795,c_613246]) ).
tff(c_613394,plain,
! [X_7089] :
( product(X_7089,e_6,e_2)
| ~ product(X_7089,e_4,e_6) ),
inference(resolution,[status(thm)],[c_613254,c_124]) ).
tff(c_613439,plain,
! [X_7089] :
( product(X_7089,e_2,e_4)
| ~ product(e_2,e_5,e_6)
| ~ product(X_7089,e_4,e_6) ),
inference(resolution,[status(thm)],[c_613394,c_575014]) ).
tff(c_613628,plain,
~ product(e_2,e_5,e_6),
inference(splitLeft,[status(thm)],[c_613439]) ).
tff(c_613631,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_613628]) ).
tff(c_613634,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_52,c_613631]) ).
tff(c_613736,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_613634]) ).
tff(c_613894,plain,
! [X_7103] :
( product(X_7103,e_2,e_1)
| ~ product(X_7103,e_5,e_2) ),
inference(resolution,[status(thm)],[c_613736,c_124]) ).
tff(c_613898,plain,
product(e_4,e_2,e_1),
inference(resolution,[status(thm)],[c_613134,c_613894]) ).
tff(c_614182,plain,
! [X_7109] :
( product(X_7109,e_4,e_1)
| ~ product(X_7109,e_2,e_4) ),
inference(resolution,[status(thm)],[c_613898,c_124]) ).
tff(c_613287,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_6,e_4,W_8) ),
inference(resolution,[status(thm)],[c_613254,c_118]) ).
tff(c_614194,plain,
( equalish(e_1,e_2)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_614182,c_613287]) ).
tff(c_614227,plain,
~ product(e_6,e_2,e_4),
inference(negUnitSimplification,[status(thm)],[c_56,c_614194]) ).
tff(c_614253,plain,
( equalish(e_2,e_6)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_497819,c_614227]) ).
tff(c_614256,plain,
( equalish(e_2,e_6)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_614253]) ).
tff(c_614257,plain,
product(e_6,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_584804,c_598450,c_74,c_614256]) ).
tff(c_614306,plain,
! [W_7110] :
( equalish(W_7110,e_2)
| ~ product(e_6,W_7110,e_3) ),
inference(resolution,[status(thm)],[c_614257,c_120]) ).
tff(c_618942,plain,
! [Y_7191] :
( equalish(Y_7191,e_2)
| equalish(Y_7191,e_5)
| equalish(Y_7191,e_6)
| product(e_6,Y_7191,e_2)
| product(e_6,Y_7191,e_1)
| ~ group_element(Y_7191) ),
inference(resolution,[status(thm)],[c_574862,c_614306]) ).
tff(c_613285,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_6,W_11,e_2) ),
inference(resolution,[status(thm)],[c_613254,c_120]) ).
tff(c_619255,plain,
! [Y_7192] :
( equalish(Y_7192,e_4)
| equalish(Y_7192,e_2)
| equalish(Y_7192,e_5)
| equalish(Y_7192,e_6)
| product(e_6,Y_7192,e_1)
| ~ group_element(Y_7192) ),
inference(resolution,[status(thm)],[c_618942,c_613285]) ).
tff(c_619381,plain,
( equalish(e_6,e_1)
| equalish(e_1,e_4)
| equalish(e_1,e_2)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_619255,c_2268]) ).
tff(c_619556,plain,
( equalish(e_6,e_1)
| equalish(e_1,e_4)
| equalish(e_1,e_2)
| equalish(e_1,e_5)
| equalish(e_1,e_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_619381]) ).
tff(c_619558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_62,c_56,c_60,c_106,c_619556]) ).
tff(c_619559,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_613634]) ).
tff(c_619561,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_619559]) ).
tff(c_619774,plain,
! [X_7196] :
( product(X_7196,e_2,e_5)
| ~ product(X_7196,e_5,e_2) ),
inference(resolution,[status(thm)],[c_619561,c_124]) ).
tff(c_619778,plain,
product(e_4,e_2,e_5),
inference(resolution,[status(thm)],[c_613134,c_619774]) ).
tff(c_619780,plain,
( equalish(e_2,e_1)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_619778,c_1940]) ).
tff(c_619800,plain,
( equalish(e_2,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_619780]) ).
tff(c_619801,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_619800]) ).
tff(c_621802,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_619801]) ).
tff(c_621848,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_621802,c_2268]) ).
tff(c_621925,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_621848]) ).
tff(c_621926,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_619801]) ).
tff(c_621966,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_621926]) ).
tff(c_622289,plain,
! [X_7247] :
( product(X_7247,e_4,e_4)
| ~ product(X_7247,e_1,e_4) ),
inference(resolution,[status(thm)],[c_621966,c_124]) ).
tff(c_622096,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_621966,c_120]) ).
tff(c_622293,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_622289,c_622096]) ).
tff(c_622329,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_621966,c_622293]) ).
tff(c_622331,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_622329]) ).
tff(c_622332,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_621926]) ).
tff(c_622341,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_622332]) ).
tff(c_613161,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_4,W_11,e_2) ),
inference(resolution,[status(thm)],[c_613134,c_120]) ).
tff(c_622353,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_622341,c_613161]) ).
tff(c_622414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_622353]) ).
tff(c_622415,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_622332]) ).
tff(c_622592,plain,
! [W_7249] :
( equalish(W_7249,e_4)
| ~ product(W_7249,e_1,e_3) ),
inference(resolution,[status(thm)],[c_622415,c_122]) ).
tff(c_622599,plain,
( equalish(e_6,e_4)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_574862,c_622592]) ).
tff(c_622607,plain,
( equalish(e_6,e_4)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_622599]) ).
tff(c_622608,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_62,c_112,c_622607]) ).
tff(c_622840,plain,
product(e_6,e_1,e_1),
inference(splitLeft,[status(thm)],[c_622608]) ).
tff(c_623048,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_622840,c_2268]) ).
tff(c_623121,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_623048]) ).
tff(c_623122,plain,
product(e_6,e_1,e_2),
inference(splitRight,[status(thm)],[c_622608]) ).
tff(c_623255,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_623122,c_613285]) ).
tff(c_623316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_623255]) ).
tff(c_623317,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_619559]) ).
tff(c_623467,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_623317]) ).
tff(c_613162,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_613134,c_122]) ).
tff(c_623472,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_623467,c_613162]) ).
tff(c_623492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_623472]) ).
tff(c_623493,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_623317]) ).
tff(c_623495,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_623493]) ).
tff(c_623503,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_623495,c_574839]) ).
tff(c_623524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_623503]) ).
tff(c_623525,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_623493]) ).
tff(c_623532,plain,
( equalish(e_5,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_623525,c_312]) ).
tff(c_623552,plain,
( equalish(e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_623532]) ).
tff(c_623554,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_96,c_623552]) ).
tff(c_623556,plain,
product(e_2,e_5,e_6),
inference(splitRight,[status(thm)],[c_613439]) ).
tff(c_623565,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_623556,c_575160]) ).
tff(c_623593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_623565]) ).
tff(c_623594,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_613090]) ).
tff(c_623596,plain,
product(e_4,e_5,e_4),
inference(splitLeft,[status(thm)],[c_623594]) ).
tff(c_623601,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_623596,c_574839]) ).
tff(c_623621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_623601]) ).
tff(c_623622,plain,
product(e_4,e_5,e_3),
inference(splitRight,[status(thm)],[c_623594]) ).
tff(c_623765,plain,
! [X_7258] :
( product(X_7258,e_4,e_3)
| ~ product(X_7258,e_5,e_4) ),
inference(resolution,[status(thm)],[c_623622,c_124]) ).
tff(c_623773,plain,
product(e_6,e_4,e_3),
inference(resolution,[status(thm)],[c_574795,c_623765]) ).
tff(c_623813,plain,
! [W_7259] :
( equalish(W_7259,e_4)
| ~ product(e_6,W_7259,e_3) ),
inference(resolution,[status(thm)],[c_623773,c_120]) ).
tff(c_627847,plain,
! [Y_7348] :
( equalish(Y_7348,e_4)
| equalish(Y_7348,e_5)
| equalish(Y_7348,e_6)
| product(e_6,Y_7348,e_2)
| product(e_6,Y_7348,e_1)
| ~ group_element(Y_7348) ),
inference(resolution,[status(thm)],[c_574862,c_623813]) ).
tff(c_627891,plain,
( equalish(e_2,e_4)
| equalish(e_2,e_5)
| equalish(e_2,e_6)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_627847,c_598450]) ).
tff(c_628010,plain,
( equalish(e_2,e_4)
| equalish(e_2,e_5)
| equalish(e_2,e_6)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_627891]) ).
tff(c_628012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_584804,c_74,c_72,c_70,c_628010]) ).
tff(c_628013,plain,
product(e_5,e_4,e_4),
inference(splitRight,[status(thm)],[c_575205]) ).
tff(c_628019,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_628013,c_574632]) ).
tff(c_628040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_628019]) ).
tff(c_628041,plain,
( product(e_6,e_6,e_4)
| product(e_6,e_6,e_3)
| product(e_6,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_497638]) ).
tff(c_628079,plain,
product(e_6,e_6,e_2),
inference(splitLeft,[status(thm)],[c_628041]) ).
tff(c_628083,plain,
( product(e_6,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_628079,c_219]) ).
tff(c_628100,plain,
( product(e_6,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_54,c_628083]) ).
tff(c_628672,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_628100]) ).
tff(c_628823,plain,
! [X_7366] :
( product(X_7366,e_2,e_1)
| ~ product(X_7366,e_6,e_2) ),
inference(resolution,[status(thm)],[c_628672,c_124]) ).
tff(c_628827,plain,
product(e_6,e_2,e_1),
inference(resolution,[status(thm)],[c_628079,c_628823]) ).
tff(c_628998,plain,
! [X_7370] :
( product(X_7370,e_6,e_1)
| ~ product(X_7370,e_2,e_6) ),
inference(resolution,[status(thm)],[c_628827,c_124]) ).
tff(c_629029,plain,
( equalish(e_6,e_1)
| ~ product(e_1,e_2,e_6) ),
inference(resolution,[status(thm)],[c_628998,c_2267]) ).
tff(c_629062,plain,
~ product(e_1,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_106,c_629029]) ).
tff(c_629082,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_629062]) ).
tff(c_629085,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_629082]) ).
tff(c_629309,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_629085]) ).
tff(c_628874,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_628827,c_122]) ).
tff(c_629314,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_629309,c_628874]) ).
tff(c_629345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_629314]) ).
tff(c_629347,plain,
~ product(e_1,e_2,e_1),
inference(splitRight,[status(thm)],[c_629085]) ).
tff(c_628317,plain,
! [X_7353] :
( product(X_7353,e_6,e_2)
| ~ product(X_7353,e_6,e_6) ),
inference(resolution,[status(thm)],[c_628079,c_124]) ).
tff(c_628321,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_116,c_628317]) ).
tff(c_628324,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(X_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_628321]) ).
tff(c_629346,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_629085]) ).
tff(c_629355,plain,
product(e_1,e_2,e_5),
inference(splitLeft,[status(thm)],[c_629346]) ).
tff(c_629391,plain,
! [W_7385] :
( equalish(W_7385,e_2)
| ~ product(e_1,W_7385,e_5) ),
inference(resolution,[status(thm)],[c_629355,c_120]) ).
tff(c_629402,plain,
( equalish(e_6,e_2)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_628324,c_629391]) ).
tff(c_629434,plain,
( equalish(e_6,e_2)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_629402]) ).
tff(c_629435,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_629434]) ).
tff(c_629585,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_629435]) ).
tff(c_628707,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_628672,c_122]) ).
tff(c_629597,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_629585,c_628707]) ).
tff(c_629628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_629597]) ).
tff(c_629629,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_629435]) ).
tff(c_630246,plain,
product(e_1,e_6,e_4),
inference(splitLeft,[status(thm)],[c_629629]) ).
tff(c_630391,plain,
! [X_7403] :
( product(X_7403,e_1,e_4)
| ~ product(X_7403,e_6,e_1) ),
inference(resolution,[status(thm)],[c_630246,c_124]) ).
tff(c_630399,plain,
product(e_2,e_1,e_4),
inference(resolution,[status(thm)],[c_628672,c_630391]) ).
tff(c_630424,plain,
( equalish(e_4,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_630399,c_316]) ).
tff(c_630482,plain,
( equalish(e_4,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_630424]) ).
tff(c_630484,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_90,c_630482]) ).
tff(c_630485,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_629629]) ).
tff(c_630552,plain,
product(e_1,e_6,e_2),
inference(splitLeft,[status(thm)],[c_630485]) ).
tff(c_628705,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_6,e_2) ),
inference(resolution,[status(thm)],[c_628672,c_124]) ).
tff(c_630565,plain,
product(e_1,e_2,e_1),
inference(resolution,[status(thm)],[c_630552,c_628705]) ).
tff(c_630595,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_629347,c_630565]) ).
tff(c_630596,plain,
product(e_1,e_6,e_3),
inference(splitRight,[status(thm)],[c_630485]) ).
tff(c_630807,plain,
! [X_7411] :
( product(X_7411,e_1,e_3)
| ~ product(X_7411,e_6,e_1) ),
inference(resolution,[status(thm)],[c_630596,c_124]) ).
tff(c_630815,plain,
product(e_2,e_1,e_3),
inference(resolution,[status(thm)],[c_628672,c_630807]) ).
tff(c_630907,plain,
! [X_18] :
( product(X_18,e_2,e_3)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_630815,c_124]) ).
tff(c_631086,plain,
! [X_7416] :
( product(X_7416,e_2,e_3)
| ~ product(X_7416,e_1,e_2) ),
inference(resolution,[status(thm)],[c_630815,c_124]) ).
tff(c_631343,plain,
! [X_7425,X_7426] :
( product(X_7425,X_7426,e_3)
| ~ product(X_7425,e_2,X_7426)
| ~ product(X_7426,e_1,e_2) ),
inference(resolution,[status(thm)],[c_631086,c_124]) ).
tff(c_631376,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_2)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_630907,c_631343]) ).
tff(c_631426,plain,
~ product(e_3,e_1,e_2),
inference(splitLeft,[status(thm)],[c_631376]) ).
tff(c_631377,plain,
( product(e_1,e_5,e_3)
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[c_629355,c_631343]) ).
tff(c_631410,plain,
~ product(e_5,e_1,e_2),
inference(splitLeft,[status(thm)],[c_631377]) ).
tff(c_629580,plain,
! [X_7388] :
( product(X_7388,e_1,e_5)
| ~ product(X_7388,e_2,e_1) ),
inference(resolution,[status(thm)],[c_629355,c_124]) ).
tff(c_629584,plain,
product(e_6,e_1,e_5),
inference(resolution,[status(thm)],[c_628827,c_629580]) ).
tff(c_629717,plain,
! [X_18] :
( product(X_18,e_6,e_5)
| ~ product(X_18,e_1,e_6) ),
inference(resolution,[status(thm)],[c_629584,c_124]) ).
tff(c_629977,plain,
! [X_7392] :
( product(X_7392,e_6,e_5)
| ~ product(X_7392,e_1,e_6) ),
inference(resolution,[status(thm)],[c_629584,c_124]) ).
tff(c_630487,plain,
! [X_7404,X_7405] :
( product(X_7404,X_7405,e_5)
| ~ product(X_7404,e_6,X_7405)
| ~ product(X_7405,e_1,e_6) ),
inference(resolution,[status(thm)],[c_629977,c_124]) ).
tff(c_630522,plain,
! [X_18] :
( product(X_18,e_5,e_5)
| ~ product(e_5,e_1,e_6)
| ~ product(X_18,e_1,e_6) ),
inference(resolution,[status(thm)],[c_629717,c_630487]) ).
tff(c_631417,plain,
~ product(e_5,e_1,e_6),
inference(splitLeft,[status(thm)],[c_630522]) ).
tff(c_631420,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_631417]) ).
tff(c_631423,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_44,c_631420]) ).
tff(c_631424,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_631410,c_631423]) ).
tff(c_631590,plain,
product(e_5,e_1,e_1),
inference(splitLeft,[status(thm)],[c_631424]) ).
tff(c_631615,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_631590,c_2268]) ).
tff(c_631665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_631615]) ).
tff(c_631666,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(splitRight,[status(thm)],[c_631424]) ).
tff(c_631699,plain,
product(e_5,e_1,e_5),
inference(splitLeft,[status(thm)],[c_631666]) ).
tff(c_629721,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_5) ),
inference(resolution,[status(thm)],[c_629584,c_122]) ).
tff(c_631708,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_631699,c_629721]) ).
tff(c_631762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_631708]) ).
tff(c_631763,plain,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_631666]) ).
tff(c_631814,plain,
product(e_5,e_1,e_3),
inference(splitLeft,[status(thm)],[c_631763]) ).
tff(c_630910,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_630815,c_122]) ).
tff(c_631819,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_631814,c_630910]) ).
tff(c_631868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_631819]) ).
tff(c_631869,plain,
product(e_5,e_1,e_4),
inference(splitRight,[status(thm)],[c_631763]) ).
tff(c_631966,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_1,e_5) ),
inference(resolution,[status(thm)],[c_631869,c_124]) ).
tff(c_632132,plain,
! [X_7435] :
( product(X_7435,e_5,e_4)
| ~ product(X_7435,e_1,e_5) ),
inference(resolution,[status(thm)],[c_631869,c_124]) ).
tff(c_632256,plain,
! [X_7442,X_7443] :
( product(X_7442,X_7443,e_4)
| ~ product(X_7442,e_5,X_7443)
| ~ product(X_7443,e_1,e_5) ),
inference(resolution,[status(thm)],[c_632132,c_124]) ).
tff(c_632283,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_1,e_5)
| ~ product(X_18,e_1,e_5) ),
inference(resolution,[status(thm)],[c_631966,c_632256]) ).
tff(c_632308,plain,
~ product(e_4,e_1,e_5),
inference(splitLeft,[status(thm)],[c_632283]) ).
tff(c_632329,plain,
( ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_236,c_632308]) ).
tff(c_632350,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_632329]) ).
tff(c_633695,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_632350]) ).
tff(c_633726,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_633695,c_2268]) ).
tff(c_633788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_633726]) ).
tff(c_633789,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_632350]) ).
tff(c_633834,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_633789]) ).
tff(c_631969,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_631869,c_122]) ).
tff(c_633847,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_633834,c_631969]) ).
tff(c_633911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_633847]) ).
tff(c_633912,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_633789]) ).
tff(c_633921,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_633912]) ).
tff(c_633956,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_633921,c_311]) ).
tff(c_634027,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_633956]) ).
tff(c_634028,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_634027]) ).
tff(c_634105,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_634028,c_124]) ).
tff(c_634477,plain,
! [X_7480] :
( product(X_7480,e_4,e_2)
| ~ product(X_7480,e_1,e_4) ),
inference(resolution,[status(thm)],[c_633921,c_124]) ).
tff(c_635211,plain,
! [X_7500,X_7501] :
( product(X_7500,X_7501,e_2)
| ~ product(X_7500,e_4,X_7501)
| ~ product(X_7501,e_1,e_4) ),
inference(resolution,[status(thm)],[c_634477,c_124]) ).
tff(c_635240,plain,
! [X_18] :
( product(X_18,e_3,e_2)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_634105,c_635211]) ).
tff(c_635290,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_635240]) ).
tff(c_635294,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_635290]) ).
tff(c_635297,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_635294]) ).
tff(c_635298,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_631426,c_635297]) ).
tff(c_635299,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_635298]) ).
tff(c_635330,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_635299,c_2268]) ).
tff(c_635392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_635330]) ).
tff(c_635393,plain,
product(e_3,e_1,e_3),
inference(splitRight,[status(thm)],[c_635298]) ).
tff(c_635500,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_635393,c_630910]) ).
tff(c_635564,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_635500]) ).
tff(c_635566,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_635240]) ).
tff(c_635579,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_635566,c_631969]) ).
tff(c_635644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_635579]) ).
tff(c_635646,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_631376]) ).
tff(c_635669,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_635646,c_311]) ).
tff(c_635720,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_635669]) ).
tff(c_635721,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_635720]) ).
tff(c_631155,plain,
! [X_18,X_7416] :
( product(X_18,X_7416,e_3)
| ~ product(X_18,e_2,X_7416)
| ~ product(X_7416,e_1,e_2) ),
inference(resolution,[status(thm)],[c_631086,c_124]) ).
tff(c_635736,plain,
( product(e_3,e_3,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c_635721,c_631155]) ).
tff(c_635769,plain,
product(e_3,e_3,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_635646,c_635736]) ).
tff(c_631156,plain,
! [W_11,X_7416] :
( equalish(W_11,e_2)
| ~ product(X_7416,W_11,e_3)
| ~ product(X_7416,e_1,e_2) ),
inference(resolution,[status(thm)],[c_631086,c_120]) ).
tff(c_635803,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c_635769,c_631156]) ).
tff(c_635822,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_635646,c_635803]) ).
tff(c_635824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_635822]) ).
tff(c_636085,plain,
! [X_7509] :
( product(X_7509,e_5,e_5)
| ~ product(X_7509,e_1,e_6) ),
inference(splitRight,[status(thm)],[c_630522]) ).
tff(c_630039,plain,
! [W_11,X_7392] :
( equalish(W_11,e_6)
| ~ product(X_7392,W_11,e_5)
| ~ product(X_7392,e_1,e_6) ),
inference(resolution,[status(thm)],[c_629977,c_120]) ).
tff(c_636089,plain,
! [X_7509] :
( equalish(e_5,e_6)
| ~ product(X_7509,e_1,e_6) ),
inference(resolution,[status(thm)],[c_636085,c_630039]) ).
tff(c_636114,plain,
! [X_7509] : ~ product(X_7509,e_1,e_6),
inference(negUnitSimplification,[status(thm)],[c_104,c_636089]) ).
tff(c_635826,plain,
product(e_5,e_1,e_6),
inference(splitRight,[status(thm)],[c_630522]) ).
tff(c_636131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_636114,c_635826]) ).
tff(c_636132,plain,
product(e_1,e_5,e_3),
inference(splitRight,[status(thm)],[c_631377]) ).
tff(c_630646,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_1,W_11,e_3) ),
inference(resolution,[status(thm)],[c_630596,c_120]) ).
tff(c_636138,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_636132,c_630646]) ).
tff(c_636160,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_636138]) ).
tff(c_636161,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_629346]) ).
tff(c_636212,plain,
product(e_1,e_2,e_2),
inference(splitLeft,[status(thm)],[c_636161]) ).
tff(c_636346,plain,
! [X_7515] :
( product(X_7515,e_1,e_2)
| ~ product(X_7515,e_2,e_1) ),
inference(resolution,[status(thm)],[c_636212,c_124]) ).
tff(c_636350,plain,
product(e_6,e_1,e_2),
inference(resolution,[status(thm)],[c_628827,c_636346]) ).
tff(c_628106,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_6,W_11,e_2) ),
inference(resolution,[status(thm)],[c_628079,c_120]) ).
tff(c_636353,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_636350,c_628106]) ).
tff(c_636395,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_636353]) ).
tff(c_636396,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_636161]) ).
tff(c_636436,plain,
product(e_1,e_2,e_4),
inference(splitLeft,[status(thm)],[c_636396]) ).
tff(c_636568,plain,
! [X_7522] :
( product(X_7522,e_1,e_4)
| ~ product(X_7522,e_2,e_1) ),
inference(resolution,[status(thm)],[c_636436,c_124]) ).
tff(c_636572,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_628827,c_636568]) ).
tff(c_2640,plain,
! [W_14,X_174] :
( equalish(W_14,X_174)
| ~ product(W_14,e_1,e_4)
| ~ next(X_174,e_4)
| product(X_174,e_1,e_3)
| product(X_174,e_1,e_2)
| product(X_174,e_1,e_1)
| ~ group_element(X_174) ),
inference(resolution,[status(thm)],[c_2572,c_122]) ).
tff(c_638983,plain,
! [X_7593] :
( equalish(e_6,X_7593)
| ~ next(X_7593,e_4)
| product(X_7593,e_1,e_3)
| product(X_7593,e_1,e_2)
| product(X_7593,e_1,e_1)
| ~ group_element(X_7593) ),
inference(resolution,[status(thm)],[c_636572,c_2640]) ).
tff(c_636823,plain,
! [X_7526] :
( product(X_7526,e_6,e_4)
| ~ product(X_7526,e_1,e_6) ),
inference(resolution,[status(thm)],[c_636572,c_124]) ).
tff(c_628708,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_2,e_6,W_8) ),
inference(resolution,[status(thm)],[c_628672,c_118]) ).
tff(c_636840,plain,
( equalish(e_4,e_1)
| ~ product(e_2,e_1,e_6) ),
inference(resolution,[status(thm)],[c_636823,c_628708]) ).
tff(c_636871,plain,
~ product(e_2,e_1,e_6),
inference(negUnitSimplification,[status(thm)],[c_86,c_636840]) ).
tff(c_636896,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_636871]) ).
tff(c_636899,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_636896]) ).
tff(c_636900,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_636899]) ).
tff(c_637099,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_636900]) ).
tff(c_637194,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_637099,c_122]) ).
tff(c_639136,plain,
! [X_7594] :
( equalish(X_7594,e_2)
| equalish(e_6,X_7594)
| ~ next(X_7594,e_4)
| product(X_7594,e_1,e_2)
| product(X_7594,e_1,e_1)
| ~ group_element(X_7594) ),
inference(resolution,[status(thm)],[c_638983,c_637194]) ).
tff(c_637191,plain,
! [X_18] :
( product(X_18,e_2,e_3)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_637099,c_124]) ).
tff(c_637388,plain,
! [X_7541] :
( product(X_7541,e_2,e_3)
| ~ product(X_7541,e_1,e_2) ),
inference(resolution,[status(thm)],[c_637099,c_124]) ).
tff(c_637583,plain,
! [X_7548,X_7549] :
( product(X_7548,X_7549,e_3)
| ~ product(X_7548,e_2,X_7549)
| ~ product(X_7549,e_1,e_2) ),
inference(resolution,[status(thm)],[c_637388,c_124]) ).
tff(c_637616,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_2)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_637191,c_637583]) ).
tff(c_637667,plain,
~ product(e_3,e_1,e_2),
inference(splitLeft,[status(thm)],[c_637616]) ).
tff(c_639161,plain,
( equalish(e_3,e_2)
| equalish(e_6,e_3)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_639136,c_637667]) ).
tff(c_639249,plain,
( equalish(e_3,e_2)
| equalish(e_6,e_3)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_639161]) ).
tff(c_639250,plain,
product(e_3,e_1,e_1),
inference(negUnitSimplification,[status(thm)],[c_110,c_78,c_639249]) ).
tff(c_639359,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_639250,c_2268]) ).
tff(c_639430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_639359]) ).
tff(c_639432,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_637616]) ).
tff(c_639455,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_639432,c_311]) ).
tff(c_639506,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_639455]) ).
tff(c_639507,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_639506]) ).
tff(c_637450,plain,
! [X_18,X_7541] :
( product(X_18,X_7541,e_3)
| ~ product(X_18,e_2,X_7541)
| ~ product(X_7541,e_1,e_2) ),
inference(resolution,[status(thm)],[c_637388,c_124]) ).
tff(c_639628,plain,
( product(e_3,e_3,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c_639507,c_637450]) ).
tff(c_639661,plain,
product(e_3,e_3,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_639432,c_639628]) ).
tff(c_637451,plain,
! [W_11,X_7541] :
( equalish(W_11,e_2)
| ~ product(X_7541,W_11,e_3)
| ~ product(X_7541,e_1,e_2) ),
inference(resolution,[status(thm)],[c_637388,c_120]) ).
tff(c_639695,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c_639661,c_637451]) ).
tff(c_639714,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_639432,c_639695]) ).
tff(c_639716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_639714]) ).
tff(c_639718,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_636900]) ).
tff(c_639721,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_639718]) ).
tff(c_639724,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_639721]) ).
tff(c_639726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_639724]) ).
tff(c_639727,plain,
product(e_1,e_2,e_3),
inference(splitRight,[status(thm)],[c_636396]) ).
tff(c_639971,plain,
! [X_7603] :
( product(X_7603,e_1,e_3)
| ~ product(X_7603,e_2,e_1) ),
inference(resolution,[status(thm)],[c_639727,c_124]) ).
tff(c_639975,plain,
product(e_6,e_1,e_3),
inference(resolution,[status(thm)],[c_628827,c_639971]) ).
tff(c_640241,plain,
! [X_7607] :
( product(X_7607,e_6,e_3)
| ~ product(X_7607,e_1,e_6) ),
inference(resolution,[status(thm)],[c_639975,c_124]) ).
tff(c_640258,plain,
( equalish(e_3,e_1)
| ~ product(e_2,e_1,e_6) ),
inference(resolution,[status(thm)],[c_640241,c_628708]) ).
tff(c_640291,plain,
~ product(e_2,e_1,e_6),
inference(negUnitSimplification,[status(thm)],[c_76,c_640258]) ).
tff(c_640324,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_640291]) ).
tff(c_640327,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_640324]) ).
tff(c_640328,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_640327]) ).
tff(c_640876,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_640328]) ).
tff(c_640074,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_639975,c_122]) ).
tff(c_640881,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_640876,c_640074]) ).
tff(c_640932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_640881]) ).
tff(c_640934,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_640328]) ).
tff(c_640937,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_640934]) ).
tff(c_640940,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_640937]) ).
tff(c_640942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_640940]) ).
tff(c_640943,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_6,e_2,e_6) ),
inference(splitRight,[status(thm)],[c_628100]) ).
tff(c_640945,plain,
product(e_6,e_2,e_6),
inference(splitLeft,[status(thm)],[c_640943]) ).
tff(c_641094,plain,
! [X_7627] :
( product(X_7627,e_6,e_6)
| ~ product(X_7627,e_2,e_6) ),
inference(resolution,[status(thm)],[c_640945,c_124]) ).
tff(c_640988,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_6,W_11,e_6) ),
inference(resolution,[status(thm)],[c_640945,c_120]) ).
tff(c_641098,plain,
( equalish(e_6,e_2)
| ~ product(e_6,e_2,e_6) ),
inference(resolution,[status(thm)],[c_641094,c_640988]) ).
tff(c_641127,plain,
equalish(e_6,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_640945,c_641098]) ).
tff(c_641129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_641127]) ).
tff(c_641130,plain,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_640943]) ).
tff(c_641138,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_641130]) ).
tff(c_628107,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_6,e_2) ),
inference(resolution,[status(thm)],[c_628079,c_122]) ).
tff(c_641141,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_641138,c_628107]) ).
tff(c_641159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_641141]) ).
tff(c_641160,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(splitRight,[status(thm)],[c_641130]) ).
tff(c_641162,plain,
product(e_2,e_6,e_5),
inference(splitLeft,[status(thm)],[c_641160]) ).
tff(c_641379,plain,
! [X_7631] :
( product(X_7631,e_2,e_5)
| ~ product(X_7631,e_6,e_2) ),
inference(resolution,[status(thm)],[c_641162,c_124]) ).
tff(c_641383,plain,
product(e_6,e_2,e_5),
inference(resolution,[status(thm)],[c_628079,c_641379]) ).
tff(c_641613,plain,
! [X_7635] :
( product(X_7635,e_6,e_5)
| ~ product(X_7635,e_2,e_6) ),
inference(resolution,[status(thm)],[c_641383,c_124]) ).
tff(c_641913,plain,
! [X_7646,X_7647] :
( product(X_7646,X_7647,e_5)
| ~ product(X_7646,e_6,X_7647)
| ~ product(X_7647,e_2,e_6) ),
inference(resolution,[status(thm)],[c_641613,c_124]) ).
tff(c_641947,plain,
( product(e_2,e_5,e_5)
| ~ product(e_5,e_2,e_6) ),
inference(resolution,[status(thm)],[c_641162,c_641913]) ).
tff(c_641976,plain,
~ product(e_5,e_2,e_6),
inference(splitLeft,[status(thm)],[c_641947]) ).
tff(c_641979,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_641976]) ).
tff(c_641982,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_46,c_641979]) ).
tff(c_642053,plain,
product(e_5,e_2,e_1),
inference(splitLeft,[status(thm)],[c_641982]) ).
tff(c_642104,plain,
! [X_18] :
( product(X_18,e_5,e_1)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_642053,c_124]) ).
tff(c_642222,plain,
! [X_7656] :
( product(X_7656,e_5,e_1)
| ~ product(X_7656,e_2,e_5) ),
inference(resolution,[status(thm)],[c_642053,c_124]) ).
tff(c_642237,plain,
( equalish(e_5,e_1)
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[c_642222,c_2267]) ).
tff(c_642264,plain,
~ product(e_1,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_96,c_642237]) ).
tff(c_642404,plain,
! [W_7658,X_7659] :
( equalish(W_7658,e_1)
| ~ product(X_7659,e_5,W_7658)
| ~ product(X_7659,e_2,e_5) ),
inference(resolution,[status(thm)],[c_642222,c_118]) ).
tff(c_642419,plain,
( equalish(e_5,e_1)
| ~ product(e_6,e_2,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_461971,c_642404]) ).
tff(c_642452,plain,
( equalish(e_5,e_1)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_641383,c_642419]) ).
tff(c_642453,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_642452]) ).
tff(c_642610,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_642453]) ).
tff(c_642905,plain,
! [X_7673] :
( product(X_7673,e_6,e_1)
| ~ product(X_7673,e_5,e_6) ),
inference(resolution,[status(thm)],[c_642610,c_124]) ).
tff(c_641665,plain,
! [X_18,X_7635] :
( product(X_18,X_7635,e_5)
| ~ product(X_18,e_6,X_7635)
| ~ product(X_7635,e_2,e_6) ),
inference(resolution,[status(thm)],[c_641613,c_124]) ).
tff(c_642970,plain,
! [X_7673] :
( product(X_7673,e_1,e_5)
| ~ product(e_1,e_2,e_6)
| ~ product(X_7673,e_5,e_6) ),
inference(resolution,[status(thm)],[c_642905,c_641665]) ).
tff(c_643256,plain,
~ product(e_1,e_2,e_6),
inference(splitLeft,[status(thm)],[c_642970]) ).
tff(c_643259,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_643256]) ).
tff(c_643262,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_643259]) ).
tff(c_643263,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_642264,c_643262]) ).
tff(c_643264,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_643263]) ).
tff(c_642106,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_642053,c_122]) ).
tff(c_643271,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_643264,c_642106]) ).
tff(c_643306,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_643271]) ).
tff(c_643307,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_643263]) ).
tff(c_643357,plain,
product(e_1,e_2,e_4),
inference(splitLeft,[status(thm)],[c_643307]) ).
tff(c_643577,plain,
! [X_7693] :
( product(X_7693,e_1,e_4)
| ~ product(X_7693,e_2,e_1) ),
inference(resolution,[status(thm)],[c_643357,c_124]) ).
tff(c_643581,plain,
product(e_5,e_1,e_4),
inference(resolution,[status(thm)],[c_642053,c_643577]) ).
tff(c_643830,plain,
! [X_7697] :
( product(X_7697,e_5,e_4)
| ~ product(X_7697,e_1,e_5) ),
inference(resolution,[status(thm)],[c_643581,c_124]) ).
tff(c_642717,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_6,e_5,W_8) ),
inference(resolution,[status(thm)],[c_642610,c_118]) ).
tff(c_643842,plain,
( equalish(e_4,e_1)
| ~ product(e_6,e_1,e_5) ),
inference(resolution,[status(thm)],[c_643830,c_642717]) ).
tff(c_643870,plain,
~ product(e_6,e_1,e_5),
inference(negUnitSimplification,[status(thm)],[c_86,c_643842]) ).
tff(c_643980,plain,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_461971,c_643870]) ).
tff(c_644004,plain,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_643980]) ).
tff(c_644315,plain,
product(e_6,e_1,e_1),
inference(splitLeft,[status(thm)],[c_644004]) ).
tff(c_642715,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_1) ),
inference(resolution,[status(thm)],[c_642610,c_120]) ).
tff(c_644322,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_644315,c_642715]) ).
tff(c_644379,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_644322]) ).
tff(c_644380,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_644004]) ).
tff(c_644406,plain,
product(e_6,e_1,e_4),
inference(splitLeft,[status(thm)],[c_644380]) ).
tff(c_643677,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_643581,c_122]) ).
tff(c_644411,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_644406,c_643677]) ).
tff(c_644463,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_644411]) ).
tff(c_644464,plain,
( product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_644380]) ).
tff(c_644473,plain,
product(e_6,e_1,e_2),
inference(splitLeft,[status(thm)],[c_644464]) ).
tff(c_644478,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_644473,c_628106]) ).
tff(c_644524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_644478]) ).
tff(c_644525,plain,
product(e_6,e_1,e_3),
inference(splitRight,[status(thm)],[c_644464]) ).
tff(c_644803,plain,
! [X_7710] :
( product(X_7710,e_6,e_3)
| ~ product(X_7710,e_1,e_6) ),
inference(resolution,[status(thm)],[c_644525,c_124]) ).
tff(c_641185,plain,
! [W_8] :
( equalish(W_8,e_5)
| ~ product(e_2,e_6,W_8) ),
inference(resolution,[status(thm)],[c_641162,c_118]) ).
tff(c_644821,plain,
( equalish(e_3,e_5)
| ~ product(e_2,e_1,e_6) ),
inference(resolution,[status(thm)],[c_644803,c_641185]) ).
tff(c_644855,plain,
~ product(e_2,e_1,e_6),
inference(negUnitSimplification,[status(thm)],[c_82,c_644821]) ).
tff(c_644883,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_644855]) ).
tff(c_644886,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_644883]) ).
tff(c_644887,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_644886]) ).
tff(c_645132,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_644887]) ).
tff(c_644634,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_644525,c_122]) ).
tff(c_645137,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_645132,c_644634]) ).
tff(c_645188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_645137]) ).
tff(c_645190,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_644887]) ).
tff(c_645193,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_645190]) ).
tff(c_645196,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_645193]) ).
tff(c_645198,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_645196]) ).
tff(c_645199,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_643307]) ).
tff(c_645201,plain,
product(e_1,e_2,e_2),
inference(splitLeft,[status(thm)],[c_645199]) ).
tff(c_645335,plain,
! [X_7726] :
( product(X_7726,e_1,e_2)
| ~ product(X_7726,e_2,e_1) ),
inference(resolution,[status(thm)],[c_645201,c_124]) ).
tff(c_645339,plain,
product(e_5,e_1,e_2),
inference(resolution,[status(thm)],[c_642053,c_645335]) ).
tff(c_645362,plain,
( product(e_5,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_645339,c_311]) ).
tff(c_645413,plain,
( product(e_5,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_645362]) ).
tff(c_645414,plain,
product(e_5,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_645413]) ).
tff(c_642107,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_5,e_2,W_8) ),
inference(resolution,[status(thm)],[c_642053,c_118]) ).
tff(c_645443,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_645414,c_642107]) ).
tff(c_645470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_645443]) ).
tff(c_645471,plain,
product(e_1,e_2,e_3),
inference(splitRight,[status(thm)],[c_645199]) ).
tff(c_645621,plain,
! [X_7731] :
( product(X_7731,e_1,e_3)
| ~ product(X_7731,e_2,e_1) ),
inference(resolution,[status(thm)],[c_645471,c_124]) ).
tff(c_645625,plain,
product(e_5,e_1,e_3),
inference(resolution,[status(thm)],[c_642053,c_645621]) ).
tff(c_646942,plain,
! [X_7758] :
( equalish(e_5,X_7758)
| ~ next(X_7758,e_3)
| product(X_7758,e_1,e_2)
| product(X_7758,e_1,e_1)
| ~ group_element(X_7758) ),
inference(resolution,[status(thm)],[c_645625,c_314]) ).
tff(c_646976,plain,
( equalish(e_5,e_2)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_646942,c_1484]) ).
tff(c_647031,plain,
( equalish(e_5,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_646976]) ).
tff(c_647033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_98,c_647031]) ).
tff(c_647035,plain,
product(e_1,e_2,e_6),
inference(splitRight,[status(thm)],[c_642970]) ).
tff(c_641809,plain,
! [W_7641,X_7642] :
( equalish(W_7641,X_7642)
| ~ product(W_7641,e_6,e_5)
| ~ product(X_7642,e_2,e_6) ),
inference(resolution,[status(thm)],[c_641613,c_122]) ).
tff(c_641838,plain,
! [X_7642] :
( equalish(e_2,X_7642)
| ~ product(X_7642,e_2,e_6) ),
inference(resolution,[status(thm)],[c_641162,c_641809]) ).
tff(c_647038,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_647035,c_641838]) ).
tff(c_647066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_647038]) ).
tff(c_647068,plain,
~ product(e_6,e_5,e_1),
inference(splitRight,[status(thm)],[c_642453]) ).
tff(c_647071,plain,
~ product(e_6,e_2,e_5),
inference(resolution,[status(thm)],[c_642104,c_647068]) ).
tff(c_647075,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_641383,c_647071]) ).
tff(c_647076,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_641982]) ).
tff(c_647078,plain,
product(e_5,e_2,e_5),
inference(splitLeft,[status(thm)],[c_647076]) ).
tff(c_641417,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_5) ),
inference(resolution,[status(thm)],[c_641383,c_122]) ).
tff(c_647085,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_647078,c_641417]) ).
tff(c_647112,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_647085]) ).
tff(c_647113,plain,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_647076]) ).
tff(c_647157,plain,
product(e_5,e_2,e_2),
inference(splitLeft,[status(thm)],[c_647113]) ).
tff(c_647385,plain,
! [X_7765] :
( product(X_7765,e_5,e_2)
| ~ product(X_7765,e_2,e_5) ),
inference(resolution,[status(thm)],[c_647157,c_124]) ).
tff(c_647393,plain,
( equalish(e_5,e_6)
| ~ product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[c_647385,c_628106]) ).
tff(c_647412,plain,
equalish(e_5,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_641383,c_647393]) ).
tff(c_647414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_647412]) ).
tff(c_647415,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_647113]) ).
tff(c_647417,plain,
product(e_5,e_2,e_4),
inference(splitLeft,[status(thm)],[c_647415]) ).
tff(c_647455,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_647417,c_124]) ).
tff(c_647549,plain,
! [X_7769] :
( product(X_7769,e_5,e_4)
| ~ product(X_7769,e_2,e_5) ),
inference(resolution,[status(thm)],[c_647417,c_124]) ).
tff(c_647599,plain,
! [W_7772,X_7773] :
( equalish(W_7772,e_4)
| ~ product(X_7773,e_5,W_7772)
| ~ product(X_7773,e_2,e_5) ),
inference(resolution,[status(thm)],[c_647549,c_118]) ).
tff(c_647614,plain,
( equalish(e_5,e_4)
| ~ product(e_6,e_2,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_461971,c_647599]) ).
tff(c_647647,plain,
( equalish(e_5,e_4)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_641383,c_647614]) ).
tff(c_647648,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_102,c_647647]) ).
tff(c_647763,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_647648]) ).
tff(c_647583,plain,
! [W_8,X_7769] :
( equalish(W_8,e_4)
| ~ product(X_7769,e_5,W_8)
| ~ product(X_7769,e_2,e_5) ),
inference(resolution,[status(thm)],[c_647549,c_118]) ).
tff(c_647768,plain,
( equalish(e_1,e_4)
| ~ product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[c_647763,c_647583]) ).
tff(c_647791,plain,
equalish(e_1,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_641383,c_647768]) ).
tff(c_647793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_647791]) ).
tff(c_647794,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_647648]) ).
tff(c_647852,plain,
product(e_6,e_5,e_4),
inference(splitLeft,[status(thm)],[c_647794]) ).
tff(c_648062,plain,
! [X_7783] :
( product(X_7783,e_6,e_4)
| ~ product(X_7783,e_5,e_6) ),
inference(resolution,[status(thm)],[c_647852,c_124]) ).
tff(c_648081,plain,
( equalish(e_4,e_5)
| ~ product(e_2,e_5,e_6) ),
inference(resolution,[status(thm)],[c_648062,c_641185]) ).
tff(c_648115,plain,
~ product(e_2,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_92,c_648081]) ).
tff(c_648148,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_648115]) ).
tff(c_648151,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_52,c_648148]) ).
tff(c_661141,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_648151]) ).
tff(c_661152,plain,
( equalish(e_1,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[c_661141,c_647583]) ).
tff(c_661183,plain,
~ product(e_2,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_60,c_661152]) ).
tff(c_647456,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_5,W_11,e_4) ),
inference(resolution,[status(thm)],[c_647417,c_120]) ).
tff(c_648072,plain,
( equalish(e_6,e_2)
| ~ product(e_5,e_5,e_6) ),
inference(resolution,[status(thm)],[c_648062,c_647456]) ).
tff(c_648108,plain,
~ product(e_5,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_108,c_648072]) ).
tff(c_648142,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_648108]) ).
tff(c_648145,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_648142]) ).
tff(c_661445,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_648145]) ).
tff(c_661205,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_661141,c_122]) ).
tff(c_661450,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_661445,c_661205]) ).
tff(c_661488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_661450]) ).
tff(c_661489,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_648145]) ).
tff(c_661491,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_661489]) ).
tff(c_661639,plain,
! [W_8106] :
( equalish(W_8106,e_5)
| ~ product(e_5,W_8106,e_5) ),
inference(resolution,[status(thm)],[c_661491,c_120]) ).
tff(c_661654,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_628324,c_661639]) ).
tff(c_661688,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_661654]) ).
tff(c_661689,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_661688]) ).
tff(c_661833,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_661689]) ).
tff(c_661890,plain,
( product(e_5,e_1,e_5)
| ~ product(e_1,e_2,e_6) ),
inference(resolution,[status(thm)],[c_661833,c_641665]) ).
tff(c_662125,plain,
~ product(e_1,e_2,e_6),
inference(splitLeft,[status(thm)],[c_661890]) ).
tff(c_647580,plain,
! [X_18,X_7769] :
( product(X_18,X_7769,e_4)
| ~ product(X_18,e_5,X_7769)
| ~ product(X_7769,e_2,e_5) ),
inference(resolution,[status(thm)],[c_647549,c_124]) ).
tff(c_661180,plain,
( product(e_2,e_1,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[c_661141,c_647580]) ).
tff(c_661372,plain,
~ product(e_1,e_2,e_5),
inference(splitLeft,[status(thm)],[c_661180]) ).
tff(c_662129,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_662125]) ).
tff(c_662132,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_662129]) ).
tff(c_662133,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_661372,c_662132]) ).
tff(c_662497,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_662133]) ).
tff(c_647795,plain,
~ product(e_6,e_5,e_1),
inference(splitRight,[status(thm)],[c_647648]) ).
tff(c_647673,plain,
! [X_7776,X_7777] :
( product(X_7776,X_7777,e_4)
| ~ product(X_7776,e_5,X_7777)
| ~ product(X_7777,e_2,e_5) ),
inference(resolution,[status(thm)],[c_647549,c_124]) ).
tff(c_647700,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_2,e_5)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_647455,c_647673]) ).
tff(c_647725,plain,
~ product(e_4,e_2,e_5),
inference(splitLeft,[status(thm)],[c_647700]) ).
tff(c_648109,plain,
! [X_7783] :
( product(X_7783,e_4,e_5)
| ~ product(e_4,e_2,e_6)
| ~ product(X_7783,e_5,e_6) ),
inference(resolution,[status(thm)],[c_648062,c_641665]) ).
tff(c_648349,plain,
~ product(e_4,e_2,e_6),
inference(splitLeft,[status(thm)],[c_648109]) ).
tff(c_648352,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_648349]) ).
tff(c_648355,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_46,c_648352]) ).
tff(c_648356,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_647725,c_648355]) ).
tff(c_648364,plain,
product(e_4,e_2,e_1),
inference(splitLeft,[status(thm)],[c_648356]) ).
tff(c_648621,plain,
! [X_7799] :
( product(X_7799,e_4,e_1)
| ~ product(X_7799,e_2,e_4) ),
inference(resolution,[status(thm)],[c_648364,c_124]) ).
tff(c_648788,plain,
! [X_7807,X_7808] :
( product(X_7807,X_7808,e_1)
| ~ product(X_7807,e_4,X_7808)
| ~ product(X_7808,e_2,e_4) ),
inference(resolution,[status(thm)],[c_648621,c_124]) ).
tff(c_648799,plain,
( product(e_6,e_5,e_1)
| ~ product(e_5,e_2,e_4)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_461971,c_648788]) ).
tff(c_648824,plain,
( product(e_6,e_5,e_1)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_647417,c_648799]) ).
tff(c_648825,plain,
( product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_647795,c_648824]) ).
tff(c_648847,plain,
product(e_6,e_4,e_1),
inference(splitLeft,[status(thm)],[c_648825]) ).
tff(c_648673,plain,
! [W_14,X_7799] :
( equalish(W_14,X_7799)
| ~ product(W_14,e_4,e_1)
| ~ product(X_7799,e_2,e_4) ),
inference(resolution,[status(thm)],[c_648621,c_122]) ).
tff(c_649035,plain,
! [X_7813] :
( equalish(e_6,X_7813)
| ~ product(X_7813,e_2,e_4) ),
inference(resolution,[status(thm)],[c_648847,c_648673]) ).
tff(c_649038,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_647417,c_649035]) ).
tff(c_649042,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_649038]) ).
tff(c_649043,plain,
( product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_648825]) ).
tff(c_649057,plain,
product(e_6,e_4,e_4),
inference(splitLeft,[status(thm)],[c_649043]) ).
tff(c_647896,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_4) ),
inference(resolution,[status(thm)],[c_647852,c_120]) ).
tff(c_649067,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_649057,c_647896]) ).
tff(c_649093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_649067]) ).
tff(c_649094,plain,
( product(e_6,e_4,e_3)
| product(e_6,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_649043]) ).
tff(c_649096,plain,
product(e_6,e_4,e_2),
inference(splitLeft,[status(thm)],[c_649094]) ).
tff(c_649104,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_649096,c_628106]) ).
tff(c_649125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_649104]) ).
tff(c_649127,plain,
~ product(e_6,e_4,e_2),
inference(splitRight,[status(thm)],[c_649094]) ).
tff(c_647895,plain,
! [X_18] :
( product(X_18,e_6,e_4)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_647852,c_124]) ).
tff(c_648284,plain,
! [X_7792,X_7793] :
( product(X_7792,X_7793,e_4)
| ~ product(X_7792,e_6,X_7793)
| ~ product(X_7793,e_5,e_6) ),
inference(resolution,[status(thm)],[c_648062,c_124]) ).
tff(c_648319,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_5,e_6)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_647895,c_648284]) ).
tff(c_648357,plain,
~ product(e_4,e_5,e_6),
inference(splitLeft,[status(thm)],[c_648319]) ).
tff(c_648360,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_648357]) ).
tff(c_648363,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_52,c_648360]) ).
tff(c_652654,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_648363]) ).
tff(c_652414,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_648151]) ).
tff(c_652464,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_652414,c_122]) ).
tff(c_652657,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_652654,c_652464]) ).
tff(c_652689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_652657]) ).
tff(c_652690,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_648363]) ).
tff(c_652692,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_652690]) ).
tff(c_647077,plain,
~ product(e_5,e_2,e_1),
inference(splitRight,[status(thm)],[c_641982]) ).
tff(c_647114,plain,
~ product(e_5,e_2,e_5),
inference(splitRight,[status(thm)],[c_647076]) ).
tff(c_650440,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_648145]) ).
tff(c_648672,plain,
! [W_11,X_7799] :
( equalish(W_11,e_4)
| ~ product(X_7799,W_11,e_1)
| ~ product(X_7799,e_2,e_4) ),
inference(resolution,[status(thm)],[c_648621,c_120]) ).
tff(c_650445,plain,
( equalish(e_5,e_4)
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[c_650440,c_648672]) ).
tff(c_650472,plain,
equalish(e_5,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_647417,c_650445]) ).
tff(c_650474,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_650472]) ).
tff(c_650475,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_648145]) ).
tff(c_650477,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_650475]) ).
tff(c_650520,plain,
! [W_7862] :
( equalish(W_7862,e_5)
| ~ product(e_5,W_7862,e_5) ),
inference(resolution,[status(thm)],[c_650477,c_120]) ).
tff(c_650535,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_628324,c_650520]) ).
tff(c_650569,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_650535]) ).
tff(c_650570,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_650569]) ).
tff(c_650714,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_650570]) ).
tff(c_650724,plain,
( equalish(e_6,e_4)
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[c_650714,c_648672]) ).
tff(c_650759,plain,
equalish(e_6,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_647417,c_650724]) ).
tff(c_650761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_650759]) ).
tff(c_650762,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_650570]) ).
tff(c_650764,plain,
product(e_5,e_6,e_4),
inference(splitLeft,[status(thm)],[c_650762]) ).
tff(c_650862,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_650764,c_647456]) ).
tff(c_650896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_650862]) ).
tff(c_650897,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_650762]) ).
tff(c_650903,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_650897]) ).
tff(c_641182,plain,
! [X_18] :
( product(X_18,e_2,e_5)
| ~ product(X_18,e_6,e_2) ),
inference(resolution,[status(thm)],[c_641162,c_124]) ).
tff(c_650924,plain,
product(e_5,e_2,e_5),
inference(resolution,[status(thm)],[c_650903,c_641182]) ).
tff(c_650958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_647114,c_650924]) ).
tff(c_650959,plain,
product(e_5,e_6,e_3),
inference(splitRight,[status(thm)],[c_650897]) ).
tff(c_651226,plain,
! [X_7873] :
( product(X_7873,e_5,e_3)
| ~ product(X_7873,e_6,e_5) ),
inference(resolution,[status(thm)],[c_650959,c_124]) ).
tff(c_651265,plain,
product(e_2,e_5,e_3),
inference(resolution,[status(thm)],[c_641162,c_651226]) ).
tff(c_651299,plain,
( equalish(e_5,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_651265,c_312]) ).
tff(c_651321,plain,
( equalish(e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_651299]) ).
tff(c_651323,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_96,c_651321]) ).
tff(c_651324,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_650475]) ).
tff(c_651368,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_651324]) ).
tff(c_651623,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_648151]) ).
tff(c_651819,plain,
! [X_7883] :
( product(X_7883,e_2,e_1)
| ~ product(X_7883,e_5,e_2) ),
inference(resolution,[status(thm)],[c_651623,c_124]) ).
tff(c_651822,plain,
product(e_5,e_2,e_1),
inference(resolution,[status(thm)],[c_651368,c_651819]) ).
tff(c_651826,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_647077,c_651822]) ).
tff(c_651827,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_648151]) ).
tff(c_651829,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_651827]) ).
tff(c_641183,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_5) ),
inference(resolution,[status(thm)],[c_641162,c_120]) ).
tff(c_651844,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_651829,c_641183]) ).
tff(c_651872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_651844]) ).
tff(c_651873,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_651827]) ).
tff(c_651917,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_651873]) ).
tff(c_651405,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_651368,c_122]) ).
tff(c_652000,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_651917,c_651405]) ).
tff(c_652023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_652000]) ).
tff(c_652024,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_651873]) ).
tff(c_652026,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_652024]) ).
tff(c_647897,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_647852,c_122]) ).
tff(c_652031,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_652026,c_647897]) ).
tff(c_652060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_652031]) ).
tff(c_652061,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_652024]) ).
tff(c_652077,plain,
( equalish(e_5,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_652061,c_312]) ).
tff(c_652099,plain,
( equalish(e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_652077]) ).
tff(c_652101,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_96,c_652099]) ).
tff(c_652102,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_651324]) ).
tff(c_652183,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_652102]) ).
tff(c_652188,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_652183,c_647897]) ).
tff(c_652220,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_652188]) ).
tff(c_652221,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_652102]) ).
tff(c_652264,plain,
! [X_18] :
( product(X_18,e_5,e_3)
| ~ product(X_18,e_5,e_5) ),
inference(resolution,[status(thm)],[c_652221,c_124]) ).
tff(c_652717,plain,
product(e_4,e_5,e_3),
inference(resolution,[status(thm)],[c_652692,c_652264]) ).
tff(c_652266,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_3) ),
inference(resolution,[status(thm)],[c_652221,c_122]) ).
tff(c_652741,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_652717,c_652266]) ).
tff(c_652766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_652741]) ).
tff(c_652767,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_652690]) ).
tff(c_652811,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_652767]) ).
tff(c_652941,plain,
! [X_7897] :
( product(X_7897,e_4,e_2)
| ~ product(X_7897,e_5,e_4) ),
inference(resolution,[status(thm)],[c_652811,c_124]) ).
tff(c_652944,plain,
product(e_6,e_4,e_2),
inference(resolution,[status(thm)],[c_647852,c_652941]) ).
tff(c_652951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_649127,c_652944]) ).
tff(c_652952,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_652767]) ).
tff(c_652954,plain,
product(e_4,e_5,e_4),
inference(splitLeft,[status(thm)],[c_652952]) ).
tff(c_652959,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_652954,c_647897]) ).
tff(c_652988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_652959]) ).
tff(c_652989,plain,
product(e_4,e_5,e_3),
inference(splitRight,[status(thm)],[c_652952]) ).
tff(c_652997,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_652989,c_652266]) ).
tff(c_653022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_652997]) ).
tff(c_653023,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_648151]) ).
tff(c_653025,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_653023]) ).
tff(c_653040,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_653025,c_641183]) ).
tff(c_653068,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_653040]) ).
tff(c_653069,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_653023]) ).
tff(c_653113,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_653069]) ).
tff(c_653279,plain,
! [X_7901] :
( product(X_7901,e_2,e_2)
| ~ product(X_7901,e_5,e_2) ),
inference(resolution,[status(thm)],[c_653113,c_124]) ).
tff(c_653283,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_653113,c_653279]) ).
tff(c_653148,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_653113,c_120]) ).
tff(c_653286,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_653283,c_653148]) ).
tff(c_653307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_653286]) ).
tff(c_653308,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_653069]) ).
tff(c_653310,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_653308]) ).
tff(c_653315,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_653310,c_647897]) ).
tff(c_653344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_653315]) ).
tff(c_653345,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_653308]) ).
tff(c_653353,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_653345,c_652266]) ).
tff(c_653378,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_653353]) ).
tff(c_653380,plain,
~ product(e_4,e_2,e_1),
inference(splitRight,[status(thm)],[c_648356]) ).
tff(c_658937,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_648363]) ).
tff(c_658693,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_648151]) ).
tff(c_658743,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_658693,c_122]) ).
tff(c_658940,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_658937,c_658743]) ).
tff(c_658968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_658940]) ).
tff(c_658969,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_648363]) ).
tff(c_658971,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_658969]) ).
tff(c_655603,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_648363]) ).
tff(c_654101,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_648151]) ).
tff(c_653850,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_648145]) ).
tff(c_653899,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_653850,c_122]) ).
tff(c_654104,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_654101,c_653899]) ).
tff(c_654132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_654104]) ).
tff(c_654134,plain,
~ product(e_2,e_5,e_1),
inference(splitRight,[status(thm)],[c_648151]) ).
tff(c_654133,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_648151]) ).
tff(c_654135,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_654133]) ).
tff(c_653897,plain,
! [X_18] :
( product(X_18,e_5,e_1)
| ~ product(X_18,e_5,e_5) ),
inference(resolution,[status(thm)],[c_653850,c_124]) ).
tff(c_654138,plain,
product(e_2,e_5,e_1),
inference(resolution,[status(thm)],[c_654135,c_653897]) ).
tff(c_654166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_654134,c_654138]) ).
tff(c_654167,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_654133]) ).
tff(c_654211,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_654167]) ).
tff(c_654393,plain,
! [X_7926] :
( product(X_7926,e_2,e_2)
| ~ product(X_7926,e_5,e_2) ),
inference(resolution,[status(thm)],[c_654211,c_124]) ).
tff(c_654397,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_654211,c_654393]) ).
tff(c_654254,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_654211,c_120]) ).
tff(c_654400,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_654397,c_654254]) ).
tff(c_654428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_654400]) ).
tff(c_654429,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_654167]) ).
tff(c_654431,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_654429]) ).
tff(c_654464,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_654431,c_647897]) ).
tff(c_654493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_654464]) ).
tff(c_654494,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_654429]) ).
tff(c_654510,plain,
( equalish(e_5,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_654494,c_312]) ).
tff(c_654534,plain,
( equalish(e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_654510]) ).
tff(c_654536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_96,c_654534]) ).
tff(c_654537,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_648145]) ).
tff(c_654539,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_654537]) ).
tff(c_654582,plain,
! [W_7930] :
( equalish(W_7930,e_5)
| ~ product(e_5,W_7930,e_5) ),
inference(resolution,[status(thm)],[c_654539,c_120]) ).
tff(c_654597,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_628324,c_654582]) ).
tff(c_654631,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_654597]) ).
tff(c_654632,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_654631]) ).
tff(c_654776,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_654632]) ).
tff(c_654961,plain,
! [X_7936] :
( product(X_7936,e_5,e_1)
| ~ product(X_7936,e_6,e_5) ),
inference(resolution,[status(thm)],[c_654776,c_124]) ).
tff(c_655000,plain,
product(e_2,e_5,e_1),
inference(resolution,[status(thm)],[c_641162,c_654961]) ).
tff(c_655073,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_655000,c_122]) ).
tff(c_655615,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_655603,c_655073]) ).
tff(c_655649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_655615]) ).
tff(c_655650,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_648363]) ).
tff(c_655656,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_655650]) ).
tff(c_654580,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_5) ),
inference(resolution,[status(thm)],[c_654539,c_122]) ).
tff(c_655664,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_655656,c_654580]) ).
tff(c_655693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_655664]) ).
tff(c_655694,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_655650]) ).
tff(c_655738,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_655694]) ).
tff(c_655071,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_5,e_2) ),
inference(resolution,[status(thm)],[c_655000,c_124]) ).
tff(c_655746,plain,
product(e_4,e_2,e_1),
inference(resolution,[status(thm)],[c_655738,c_655071]) ).
tff(c_655779,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_653380,c_655746]) ).
tff(c_655780,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_655694]) ).
tff(c_655877,plain,
product(e_4,e_5,e_4),
inference(splitLeft,[status(thm)],[c_655780]) ).
tff(c_655887,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_655877,c_647897]) ).
tff(c_655919,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_655887]) ).
tff(c_655920,plain,
product(e_4,e_5,e_3),
inference(splitRight,[status(thm)],[c_655780]) ).
tff(c_656123,plain,
! [X_7960] :
( product(X_7960,e_4,e_3)
| ~ product(X_7960,e_5,e_4) ),
inference(resolution,[status(thm)],[c_655920,c_124]) ).
tff(c_656130,plain,
product(e_6,e_4,e_3),
inference(resolution,[status(thm)],[c_647852,c_656123]) ).
tff(c_653379,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_648356]) ).
tff(c_653381,plain,
product(e_4,e_2,e_4),
inference(splitLeft,[status(thm)],[c_653379]) ).
tff(c_647457,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_4) ),
inference(resolution,[status(thm)],[c_647417,c_122]) ).
tff(c_653396,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_653381,c_647457]) ).
tff(c_653423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_653396]) ).
tff(c_653424,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_653379]) ).
tff(c_653426,plain,
product(e_4,e_2,e_2),
inference(splitLeft,[status(thm)],[c_653424]) ).
tff(c_653648,plain,
! [X_7908] :
( product(X_7908,e_4,e_2)
| ~ product(X_7908,e_2,e_4) ),
inference(resolution,[status(thm)],[c_653426,c_124]) ).
tff(c_653686,plain,
! [X_18,X_7908] :
( product(X_18,X_7908,e_2)
| ~ product(X_18,e_4,X_7908)
| ~ product(X_7908,e_2,e_4) ),
inference(resolution,[status(thm)],[c_653648,c_124]) ).
tff(c_656154,plain,
( product(e_6,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[c_656130,c_653686]) ).
tff(c_656513,plain,
~ product(e_3,e_2,e_4),
inference(splitLeft,[status(thm)],[c_656154]) ).
tff(c_655962,plain,
( product(e_4,e_3,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[c_655920,c_647580]) ).
tff(c_656086,plain,
~ product(e_3,e_2,e_5),
inference(splitLeft,[status(thm)],[c_655962]) ).
tff(c_641415,plain,
! [X_18] :
( product(X_18,e_6,e_5)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_641383,c_124]) ).
tff(c_655243,plain,
! [X_7940] :
( product(X_7940,e_5,e_1)
| ~ product(X_7940,e_2,e_6) ),
inference(resolution,[status(thm)],[c_641415,c_654961]) ).
tff(c_655336,plain,
! [X_18,X_7940] :
( product(X_18,X_7940,e_1)
| ~ product(X_18,e_5,X_7940)
| ~ product(X_7940,e_2,e_6) ),
inference(resolution,[status(thm)],[c_655243,c_124]) ).
tff(c_655959,plain,
( product(e_4,e_3,e_1)
| ~ product(e_3,e_2,e_6) ),
inference(resolution,[status(thm)],[c_655920,c_655336]) ).
tff(c_656530,plain,
~ product(e_3,e_2,e_6),
inference(splitLeft,[status(thm)],[c_655959]) ).
tff(c_656533,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_656530]) ).
tff(c_656536,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_46,c_656533]) ).
tff(c_656537,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_656513,c_656086,c_656536]) ).
tff(c_657001,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_656537]) ).
tff(c_657181,plain,
! [X_7990] :
( product(X_7990,e_3,e_1)
| ~ product(X_7990,e_2,e_3) ),
inference(resolution,[status(thm)],[c_657001,c_124]) ).
tff(c_655072,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_1) ),
inference(resolution,[status(thm)],[c_655000,c_120]) ).
tff(c_657191,plain,
( equalish(e_3,e_5)
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[c_657181,c_655072]) ).
tff(c_657227,plain,
~ product(e_2,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_82,c_657191]) ).
tff(c_653466,plain,
! [X_18] :
( product(X_18,e_4,e_2)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_653426,c_124]) ).
tff(c_653782,plain,
! [X_7915,X_7916] :
( product(X_7915,X_7916,e_2)
| ~ product(X_7915,e_4,X_7916)
| ~ product(X_7916,e_2,e_4) ),
inference(resolution,[status(thm)],[c_653648,c_124]) ).
tff(c_653809,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_2,e_4)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_653466,c_653782]) ).
tff(c_653834,plain,
~ product(e_2,e_2,e_4),
inference(splitLeft,[status(thm)],[c_653809]) ).
tff(c_655028,plain,
( equalish(e_1,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[c_655000,c_647583]) ).
tff(c_655051,plain,
~ product(e_2,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_60,c_655028]) ).
tff(c_653435,plain,
( product(e_4,e_2,e_6)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_653426,c_219]) ).
tff(c_653460,plain,
( product(e_4,e_2,e_6)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_653435]) ).
tff(c_653461,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_648349,c_653460]) ).
tff(c_657538,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_657227,c_653834,c_655051,c_653461]) ).
tff(c_657539,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_657538]) ).
tff(c_657059,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_657001,c_122]) ).
tff(c_657544,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_657539,c_657059]) ).
tff(c_657579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_657544]) ).
tff(c_657580,plain,
product(e_2,e_2,e_2),
inference(splitRight,[status(thm)],[c_657538]) ).
tff(c_653468,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_653426,c_122]) ).
tff(c_657586,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_657580,c_653468]) ).
tff(c_657611,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_657586]) ).
tff(c_657612,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(splitRight,[status(thm)],[c_656537]) ).
tff(c_657614,plain,
product(e_3,e_2,e_3),
inference(splitLeft,[status(thm)],[c_657612]) ).
tff(c_657784,plain,
! [X_8008] :
( product(X_8008,e_3,e_3)
| ~ product(X_8008,e_2,e_3) ),
inference(resolution,[status(thm)],[c_657614,c_124]) ).
tff(c_657669,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_657614,c_120]) ).
tff(c_657788,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_657784,c_657669]) ).
tff(c_657819,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_657614,c_657788]) ).
tff(c_657821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_657819]) ).
tff(c_657822,plain,
product(e_3,e_2,e_2),
inference(splitRight,[status(thm)],[c_657612]) ).
tff(c_657834,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_657822,c_653468]) ).
tff(c_657859,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_657834]) ).
tff(c_657861,plain,
product(e_3,e_2,e_6),
inference(splitRight,[status(thm)],[c_655959]) ).
tff(c_657874,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_657861,c_641838]) ).
tff(c_657912,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_657874]) ).
tff(c_657914,plain,
product(e_3,e_2,e_4),
inference(splitRight,[status(thm)],[c_656154]) ).
tff(c_657924,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_657914,c_647457]) ).
tff(c_657955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_657924]) ).
tff(c_657957,plain,
product(e_3,e_2,e_5),
inference(splitRight,[status(thm)],[c_655962]) ).
tff(c_647582,plain,
! [W_14,X_7769] :
( equalish(W_14,X_7769)
| ~ product(W_14,e_5,e_4)
| ~ product(X_7769,e_2,e_5) ),
inference(resolution,[status(thm)],[c_647549,c_122]) ).
tff(c_647877,plain,
! [X_7769] :
( equalish(e_6,X_7769)
| ~ product(X_7769,e_2,e_5) ),
inference(resolution,[status(thm)],[c_647852,c_647582]) ).
tff(c_657960,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_657957,c_647877]) ).
tff(c_657991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_657960]) ).
tff(c_657992,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_654632]) ).
tff(c_657995,plain,
product(e_5,e_6,e_4),
inference(splitLeft,[status(thm)],[c_657992]) ).
tff(c_658009,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_657995,c_647456]) ).
tff(c_658040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_658009]) ).
tff(c_658041,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_657992]) ).
tff(c_658047,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_658041]) ).
tff(c_653687,plain,
! [W_11,X_7908] :
( equalish(W_11,e_4)
| ~ product(X_7908,W_11,e_2)
| ~ product(X_7908,e_2,e_4) ),
inference(resolution,[status(thm)],[c_653648,c_120]) ).
tff(c_658049,plain,
( equalish(e_6,e_4)
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[c_658047,c_653687]) ).
tff(c_658082,plain,
equalish(e_6,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_647417,c_658049]) ).
tff(c_658084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_658082]) ).
tff(c_658085,plain,
product(e_5,e_6,e_3),
inference(splitRight,[status(thm)],[c_658041]) ).
tff(c_658248,plain,
! [X_8012] :
( product(X_8012,e_5,e_3)
| ~ product(X_8012,e_6,e_5) ),
inference(resolution,[status(thm)],[c_658085,c_124]) ).
tff(c_658287,plain,
product(e_2,e_5,e_3),
inference(resolution,[status(thm)],[c_641162,c_658248]) ).
tff(c_658321,plain,
( equalish(e_5,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_658287,c_312]) ).
tff(c_658345,plain,
( equalish(e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_658321]) ).
tff(c_658347,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_96,c_658345]) ).
tff(c_658348,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_654537]) ).
tff(c_658392,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_658348]) ).
tff(c_658394,plain,
( equalish(e_5,e_4)
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[c_658392,c_653687]) ).
tff(c_658416,plain,
equalish(e_5,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_647417,c_658394]) ).
tff(c_658418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_658416]) ).
tff(c_658419,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_658348]) ).
tff(c_658421,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_658419]) ).
tff(c_658426,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_658421,c_647897]) ).
tff(c_658458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_658426]) ).
tff(c_658459,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_658419]) ).
tff(c_658504,plain,
! [X_18] :
( product(X_18,e_5,e_3)
| ~ product(X_18,e_5,e_5) ),
inference(resolution,[status(thm)],[c_658459,c_124]) ).
tff(c_659090,plain,
product(e_4,e_5,e_3),
inference(resolution,[status(thm)],[c_658971,c_658504]) ).
tff(c_658506,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_3) ),
inference(resolution,[status(thm)],[c_658459,c_122]) ).
tff(c_659114,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_659090,c_658506]) ).
tff(c_659139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_659114]) ).
tff(c_659140,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_658969]) ).
tff(c_659184,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_659140]) ).
tff(c_658741,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_5,e_2) ),
inference(resolution,[status(thm)],[c_658693,c_124]) ).
tff(c_659187,plain,
product(e_4,e_2,e_1),
inference(resolution,[status(thm)],[c_659184,c_658741]) ).
tff(c_659215,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_653380,c_659187]) ).
tff(c_659216,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_659140]) ).
tff(c_659218,plain,
product(e_4,e_5,e_4),
inference(splitLeft,[status(thm)],[c_659216]) ).
tff(c_659223,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_659218,c_647897]) ).
tff(c_659252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_659223]) ).
tff(c_659253,plain,
product(e_4,e_5,e_3),
inference(splitRight,[status(thm)],[c_659216]) ).
tff(c_659289,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_659253,c_658506]) ).
tff(c_659314,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_659289]) ).
tff(c_659315,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_648151]) ).
tff(c_659317,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_659315]) ).
tff(c_659332,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_659317,c_641183]) ).
tff(c_659360,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_659332]) ).
tff(c_659361,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_659315]) ).
tff(c_659405,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_659361]) ).
tff(c_659587,plain,
! [X_8030] :
( product(X_8030,e_2,e_2)
| ~ product(X_8030,e_5,e_2) ),
inference(resolution,[status(thm)],[c_659405,c_124]) ).
tff(c_659591,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_659405,c_659587]) ).
tff(c_659448,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_659405,c_120]) ).
tff(c_659594,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_659591,c_659448]) ).
tff(c_659622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_659594]) ).
tff(c_659623,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_659361]) ).
tff(c_659625,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_659623]) ).
tff(c_659652,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_659625,c_647897]) ).
tff(c_659681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_659652]) ).
tff(c_659682,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_659623]) ).
tff(c_659690,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_659682,c_658506]) ).
tff(c_659715,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_659690]) ).
tff(c_659717,plain,
product(e_2,e_2,e_4),
inference(splitRight,[status(thm)],[c_653809]) ).
tff(c_659724,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_659717,c_647457]) ).
tff(c_659752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_659724]) ).
tff(c_659753,plain,
product(e_4,e_2,e_3),
inference(splitRight,[status(thm)],[c_653424]) ).
tff(c_659912,plain,
! [W_8037] :
( equalish(W_8037,e_4)
| ~ product(W_8037,e_2,e_3) ),
inference(resolution,[status(thm)],[c_659753,c_122]) ).
tff(c_660300,plain,
! [X_8050] :
( equalish(X_8050,e_4)
| ~ next(X_8050,e_2)
| product(X_8050,e_1,e_1)
| ~ group_element(X_8050) ),
inference(resolution,[status(thm)],[c_1774,c_659912]) ).
tff(c_660412,plain,
! [W_11,X_8050] :
( equalish(W_11,e_1)
| ~ product(X_8050,W_11,e_1)
| equalish(X_8050,e_4)
| ~ next(X_8050,e_2)
| ~ group_element(X_8050) ),
inference(resolution,[status(thm)],[c_660300,c_120]) ).
tff(c_662504,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_4)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_662497,c_660412]) ).
tff(c_662543,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_662504]) ).
tff(c_662545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_66,c_662543]) ).
tff(c_662546,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_662133]) ).
tff(c_662548,plain,
product(e_1,e_2,e_4),
inference(splitLeft,[status(thm)],[c_662546]) ).
tff(c_662561,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_662548,c_647457]) ).
tff(c_662594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_662561]) ).
tff(c_662595,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_662546]) ).
tff(c_662597,plain,
product(e_1,e_2,e_2),
inference(splitLeft,[status(thm)],[c_662595]) ).
tff(c_662606,plain,
( product(e_1,e_2,e_6)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_662597,c_219]) ).
tff(c_662631,plain,
( product(e_1,e_2,e_6)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_662606]) ).
tff(c_662632,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_661183,c_662125,c_662631]) ).
tff(c_662732,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_662632]) ).
tff(c_662637,plain,
! [X_18] :
( product(X_18,e_1,e_2)
| ~ product(X_18,e_2,e_1) ),
inference(resolution,[status(thm)],[c_662597,c_124]) ).
tff(c_662735,plain,
product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[c_662732,c_662637]) ).
tff(c_662776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1484,c_662735]) ).
tff(c_662777,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_662632]) ).
tff(c_662779,plain,
product(e_2,e_2,e_4),
inference(splitLeft,[status(thm)],[c_662777]) ).
tff(c_659991,plain,
! [X_8039] :
( product(X_8039,e_4,e_3)
| ~ product(X_8039,e_2,e_4) ),
inference(resolution,[status(thm)],[c_659753,c_124]) ).
tff(c_660001,plain,
! [X_8039] :
( equalish(e_4,e_1)
| ~ next(X_8039,e_3)
| product(X_8039,e_1,e_2)
| product(X_8039,e_1,e_1)
| ~ group_element(X_8039)
| ~ product(X_8039,e_2,e_4) ),
inference(resolution,[status(thm)],[c_659991,c_312]) ).
tff(c_660022,plain,
! [X_8039] :
( ~ next(X_8039,e_3)
| product(X_8039,e_1,e_2)
| product(X_8039,e_1,e_1)
| ~ group_element(X_8039)
| ~ product(X_8039,e_2,e_4) ),
inference(negUnitSimplification,[status(thm)],[c_86,c_660001]) ).
tff(c_662782,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_662779,c_660022]) ).
tff(c_662814,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_662782]) ).
tff(c_662816,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_662814]) ).
tff(c_662817,plain,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_662777]) ).
tff(c_662819,plain,
product(e_2,e_2,e_2),
inference(splitLeft,[status(thm)],[c_662817]) ).
tff(c_662639,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_662597,c_122]) ).
tff(c_662829,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_662819,c_662639]) ).
tff(c_662852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_662829]) ).
tff(c_662853,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_662817]) ).
tff(c_659889,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_2,e_3) ),
inference(resolution,[status(thm)],[c_659753,c_122]) ).
tff(c_662859,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_662853,c_659889]) ).
tff(c_662888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_662859]) ).
tff(c_662889,plain,
product(e_1,e_2,e_3),
inference(splitRight,[status(thm)],[c_662595]) ).
tff(c_662895,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_662889,c_659889]) ).
tff(c_662924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_662895]) ).
tff(c_662926,plain,
product(e_1,e_2,e_6),
inference(splitRight,[status(thm)],[c_661890]) ).
tff(c_662929,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_662926,c_641838]) ).
tff(c_662957,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_662929]) ).
tff(c_662958,plain,
product(e_2,e_1,e_4),
inference(splitRight,[status(thm)],[c_661180]) ).
tff(c_663000,plain,
( equalish(e_4,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_662958,c_316]) ).
tff(c_663080,plain,
( equalish(e_4,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_663000]) ).
tff(c_663082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_90,c_663080]) ).
tff(c_663083,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_648151]) ).
tff(c_663085,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_663083]) ).
tff(c_663097,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_663085,c_641183]) ).
tff(c_663124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_663097]) ).
tff(c_663125,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_663083]) ).
tff(c_663169,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_663125]) ).
tff(c_663333,plain,
! [X_8136] :
( product(X_8136,e_2,e_2)
| ~ product(X_8136,e_5,e_2) ),
inference(resolution,[status(thm)],[c_663169,c_124]) ).
tff(c_663337,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_663169,c_663333]) ).
tff(c_663206,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_663169,c_120]) ).
tff(c_663340,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_663337,c_663206]) ).
tff(c_663363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_663340]) ).
tff(c_663364,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_663125]) ).
tff(c_663366,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_663364]) ).
tff(c_663371,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_663366,c_647897]) ).
tff(c_663400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_663371]) ).
tff(c_663401,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_663364]) ).
tff(c_663419,plain,
( equalish(e_5,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_663401,c_312]) ).
tff(c_663446,plain,
( equalish(e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_663419]) ).
tff(c_663448,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_96,c_663446]) ).
tff(c_663450,plain,
product(e_4,e_5,e_6),
inference(splitRight,[status(thm)],[c_648319]) ).
tff(c_663458,plain,
( product(e_4,e_6,e_4)
| ~ product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[c_663450,c_647580]) ).
tff(c_663482,plain,
product(e_4,e_6,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_641383,c_663458]) ).
tff(c_648129,plain,
! [X_18,X_7783] :
( product(X_18,X_7783,e_4)
| ~ product(X_18,e_6,X_7783)
| ~ product(X_7783,e_5,e_6) ),
inference(resolution,[status(thm)],[c_648062,c_124]) ).
tff(c_663516,plain,
( product(e_4,e_4,e_4)
| ~ product(e_4,e_5,e_6) ),
inference(resolution,[status(thm)],[c_663482,c_648129]) ).
tff(c_663547,plain,
product(e_4,e_4,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_663450,c_663516]) ).
tff(c_648130,plain,
! [W_11,X_7783] :
( equalish(W_11,e_6)
| ~ product(X_7783,W_11,e_4)
| ~ product(X_7783,e_5,e_6) ),
inference(resolution,[status(thm)],[c_648062,c_120]) ).
tff(c_663576,plain,
( equalish(e_4,e_6)
| ~ product(e_4,e_5,e_6) ),
inference(resolution,[status(thm)],[c_663547,c_648130]) ).
tff(c_663595,plain,
equalish(e_4,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_663450,c_663576]) ).
tff(c_663597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_663595]) ).
tff(c_663599,plain,
product(e_4,e_2,e_6),
inference(splitRight,[status(thm)],[c_648109]) ).
tff(c_663602,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_663599,c_641838]) ).
tff(c_663630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_663602]) ).
tff(c_663632,plain,
~ product(e_6,e_5,e_4),
inference(splitRight,[status(thm)],[c_647794]) ).
tff(c_663635,plain,
~ product(e_6,e_2,e_5),
inference(resolution,[status(thm)],[c_647455,c_663632]) ).
tff(c_663639,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_641383,c_663635]) ).
tff(c_663641,plain,
product(e_4,e_2,e_5),
inference(splitRight,[status(thm)],[c_647700]) ).
tff(c_663648,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_663641,c_641417]) ).
tff(c_663676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_663648]) ).
tff(c_663678,plain,
~ product(e_5,e_2,e_4),
inference(splitRight,[status(thm)],[c_647415]) ).
tff(c_663677,plain,
product(e_5,e_2,e_3),
inference(splitRight,[status(thm)],[c_647415]) ).
tff(c_663827,plain,
! [X_8141] :
( product(X_8141,e_5,e_3)
| ~ product(X_8141,e_2,e_5) ),
inference(resolution,[status(thm)],[c_663677,c_124]) ).
tff(c_663887,plain,
! [W_8144,X_8145] :
( equalish(W_8144,e_3)
| ~ product(X_8145,e_5,W_8144)
| ~ product(X_8145,e_2,e_5) ),
inference(resolution,[status(thm)],[c_663827,c_118]) ).
tff(c_663902,plain,
( equalish(e_5,e_3)
| ~ product(e_6,e_2,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_461971,c_663887]) ).
tff(c_663935,plain,
( equalish(e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_641383,c_663902]) ).
tff(c_663936,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_100,c_663935]) ).
tff(c_664839,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_663936]) ).
tff(c_663866,plain,
! [W_8,X_8141] :
( equalish(W_8,e_3)
| ~ product(X_8141,e_5,W_8)
| ~ product(X_8141,e_2,e_5) ),
inference(resolution,[status(thm)],[c_663827,c_118]) ).
tff(c_664850,plain,
( equalish(e_1,e_3)
| ~ product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[c_664839,c_663866]) ).
tff(c_664881,plain,
equalish(e_1,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_641383,c_664850]) ).
tff(c_664883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_664881]) ).
tff(c_664884,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_663936]) ).
tff(c_664886,plain,
product(e_6,e_5,e_4),
inference(splitLeft,[status(thm)],[c_664884]) ).
tff(c_664891,plain,
( equalish(e_4,e_3)
| ~ product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[c_664886,c_663866]) ).
tff(c_664909,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_641383,c_664891]) ).
tff(c_664911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_664909]) ).
tff(c_664912,plain,
( product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_664884]) ).
tff(c_664914,plain,
product(e_6,e_5,e_2),
inference(splitLeft,[status(thm)],[c_664912]) ).
tff(c_664919,plain,
( equalish(e_2,e_3)
| ~ product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[c_664914,c_663866]) ).
tff(c_664940,plain,
equalish(e_2,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_641383,c_664919]) ).
tff(c_664942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_664940]) ).
tff(c_664943,plain,
product(e_6,e_5,e_3),
inference(splitRight,[status(thm)],[c_664912]) ).
tff(c_664993,plain,
! [X_18] :
( product(X_18,e_6,e_3)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_664943,c_124]) ).
tff(c_665168,plain,
! [X_8175] :
( product(X_8175,e_6,e_3)
| ~ product(X_8175,e_5,e_6) ),
inference(resolution,[status(thm)],[c_664943,c_124]) ).
tff(c_665504,plain,
! [X_8186,X_8187] :
( product(X_8186,X_8187,e_3)
| ~ product(X_8186,e_6,X_8187)
| ~ product(X_8187,e_5,e_6) ),
inference(resolution,[status(thm)],[c_665168,c_124]) ).
tff(c_665539,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_5,e_6)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_664993,c_665504]) ).
tff(c_665577,plain,
~ product(e_3,e_5,e_6),
inference(splitLeft,[status(thm)],[c_665539]) ).
tff(c_665580,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_665577]) ).
tff(c_665583,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_52,c_665580]) ).
tff(c_671021,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665583]) ).
tff(c_663723,plain,
! [X_18] :
( product(X_18,e_5,e_3)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_663677,c_124]) ).
tff(c_663961,plain,
! [X_8148,X_8149] :
( product(X_8148,X_8149,e_3)
| ~ product(X_8148,e_5,X_8149)
| ~ product(X_8149,e_2,e_5) ),
inference(resolution,[status(thm)],[c_663827,c_124]) ).
tff(c_663988,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_2,e_5)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_663723,c_663961]) ).
tff(c_664251,plain,
~ product(e_3,e_2,e_5),
inference(splitLeft,[status(thm)],[c_663988]) ).
tff(c_665217,plain,
! [X_8175] :
( product(X_8175,e_3,e_5)
| ~ product(e_3,e_2,e_6)
| ~ product(X_8175,e_5,e_6) ),
inference(resolution,[status(thm)],[c_665168,c_641665]) ).
tff(c_665496,plain,
~ product(e_3,e_2,e_6),
inference(splitLeft,[status(thm)],[c_665217]) ).
tff(c_665499,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_665496]) ).
tff(c_665502,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_46,c_665499]) ).
tff(c_665503,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_664251,c_665502]) ).
tff(c_665772,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_665503]) ).
tff(c_665838,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_1) ),
inference(resolution,[status(thm)],[c_665772,c_120]) ).
tff(c_671031,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_671021,c_665838]) ).
tff(c_671070,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_671031]) ).
tff(c_671071,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665583]) ).
tff(c_671073,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_671071]) ).
tff(c_663724,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_5,W_11,e_3) ),
inference(resolution,[status(thm)],[c_663677,c_120]) ).
tff(c_665178,plain,
( equalish(e_6,e_2)
| ~ product(e_5,e_5,e_6) ),
inference(resolution,[status(thm)],[c_665168,c_663724]) ).
tff(c_665216,plain,
~ product(e_5,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_108,c_665178]) ).
tff(c_665259,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_665216]) ).
tff(c_665262,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_665259]) ).
tff(c_669895,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665262]) ).
tff(c_665971,plain,
! [X_8203] :
( product(X_8203,e_3,e_1)
| ~ product(X_8203,e_2,e_3) ),
inference(resolution,[status(thm)],[c_665772,c_124]) ).
tff(c_666032,plain,
! [W_11,X_8203] :
( equalish(W_11,e_3)
| ~ product(X_8203,W_11,e_1)
| ~ product(X_8203,e_2,e_3) ),
inference(resolution,[status(thm)],[c_665971,c_120]) ).
tff(c_669897,plain,
( equalish(e_5,e_3)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[c_669895,c_666032]) ).
tff(c_669930,plain,
equalish(e_5,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_663677,c_669897]) ).
tff(c_669932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_669930]) ).
tff(c_669933,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665262]) ).
tff(c_669935,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_669933]) ).
tff(c_669976,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_5) ),
inference(resolution,[status(thm)],[c_669935,c_122]) ).
tff(c_671081,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_671073,c_669976]) ).
tff(c_671109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_671081]) ).
tff(c_671110,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_671071]) ).
tff(c_673036,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_671110]) ).
tff(c_668888,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665583]) ).
tff(c_665187,plain,
( equalish(e_3,e_5)
| ~ product(e_2,e_5,e_6) ),
inference(resolution,[status(thm)],[c_665168,c_641185]) ).
tff(c_665223,plain,
~ product(e_2,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_82,c_665187]) ).
tff(c_665253,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_665223]) ).
tff(c_665256,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_52,c_665253]) ).
tff(c_667580,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665256]) ).
tff(c_667649,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_667580,c_122]) ).
tff(c_668891,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_668888,c_667649]) ).
tff(c_668930,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_668891]) ).
tff(c_668931,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665583]) ).
tff(c_668933,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_668931]) ).
tff(c_667886,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665262]) ).
tff(c_667889,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_667886,c_667649]) ).
tff(c_667925,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_667889]) ).
tff(c_667926,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665262]) ).
tff(c_667928,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_667926]) ).
tff(c_667971,plain,
! [W_8274] :
( equalish(W_8274,e_5)
| ~ product(e_5,W_8274,e_5) ),
inference(resolution,[status(thm)],[c_667928,c_120]) ).
tff(c_667986,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_628324,c_667971]) ).
tff(c_668020,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_667986]) ).
tff(c_668021,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_668020]) ).
tff(c_668165,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_668021]) ).
tff(c_668172,plain,
( equalish(e_6,e_3)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[c_668165,c_666032]) ).
tff(c_668213,plain,
equalish(e_6,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_663677,c_668172]) ).
tff(c_668215,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_668213]) ).
tff(c_668216,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_668021]) ).
tff(c_668218,plain,
product(e_5,e_6,e_4),
inference(splitLeft,[status(thm)],[c_668216]) ).
tff(c_668413,plain,
! [X_8282] :
( product(X_8282,e_5,e_4)
| ~ product(X_8282,e_6,e_5) ),
inference(resolution,[status(thm)],[c_668218,c_124]) ).
tff(c_668452,plain,
product(e_2,e_5,e_4),
inference(resolution,[status(thm)],[c_641162,c_668413]) ).
tff(c_667650,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_2,e_5,W_8) ),
inference(resolution,[status(thm)],[c_667580,c_118]) ).
tff(c_668478,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_668452,c_667650]) ).
tff(c_668503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_668478]) ).
tff(c_668504,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_668216]) ).
tff(c_668510,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_668504]) ).
tff(c_668530,plain,
product(e_5,e_2,e_5),
inference(resolution,[status(thm)],[c_668510,c_641182]) ).
tff(c_668566,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_647114,c_668530]) ).
tff(c_668567,plain,
product(e_5,e_6,e_3),
inference(splitRight,[status(thm)],[c_668504]) ).
tff(c_668588,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_668567,c_663724]) ).
tff(c_668624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_668588]) ).
tff(c_668625,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_667926]) ).
tff(c_668669,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_668625]) ).
tff(c_667647,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_5,e_2) ),
inference(resolution,[status(thm)],[c_667580,c_124]) ).
tff(c_668672,plain,
product(e_5,e_2,e_1),
inference(resolution,[status(thm)],[c_668669,c_667647]) ).
tff(c_668697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_647077,c_668672]) ).
tff(c_668698,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_668625]) ).
tff(c_668700,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_668698]) ).
tff(c_668738,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_5,e_5) ),
inference(resolution,[status(thm)],[c_668700,c_124]) ).
tff(c_668958,plain,
product(e_3,e_5,e_4),
inference(resolution,[status(thm)],[c_668933,c_668738]) ).
tff(c_668740,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_668700,c_122]) ).
tff(c_668982,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_668958,c_668740]) ).
tff(c_669007,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_668982]) ).
tff(c_669008,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_668931]) ).
tff(c_669052,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_669008]) ).
tff(c_669196,plain,
! [X_8290] :
( product(X_8290,e_3,e_2)
| ~ product(X_8290,e_5,e_3) ),
inference(resolution,[status(thm)],[c_669052,c_124]) ).
tff(c_669203,plain,
product(e_6,e_3,e_2),
inference(resolution,[status(thm)],[c_664943,c_669196]) ).
tff(c_664885,plain,
~ product(e_6,e_5,e_1),
inference(splitRight,[status(thm)],[c_663936]) ).
tff(c_666172,plain,
! [X_8211,X_8212] :
( product(X_8211,X_8212,e_1)
| ~ product(X_8211,e_3,X_8212)
| ~ product(X_8212,e_2,e_3) ),
inference(resolution,[status(thm)],[c_665971,c_124]) ).
tff(c_666183,plain,
( product(e_6,e_5,e_1)
| ~ product(e_5,e_2,e_3)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_461971,c_666172]) ).
tff(c_666208,plain,
( product(e_6,e_5,e_1)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_663677,c_666183]) ).
tff(c_666209,plain,
( product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_664885,c_666208]) ).
tff(c_666245,plain,
product(e_6,e_3,e_1),
inference(splitLeft,[status(thm)],[c_666209]) ).
tff(c_666033,plain,
! [W_14,X_8203] :
( equalish(W_14,X_8203)
| ~ product(W_14,e_3,e_1)
| ~ product(X_8203,e_2,e_3) ),
inference(resolution,[status(thm)],[c_665971,c_122]) ).
tff(c_666463,plain,
! [X_8218] :
( equalish(e_6,X_8218)
| ~ product(X_8218,e_2,e_3) ),
inference(resolution,[status(thm)],[c_666245,c_666033]) ).
tff(c_666466,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_663677,c_666463]) ).
tff(c_666473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_666466]) ).
tff(c_666474,plain,
( product(e_6,e_3,e_2)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_666209]) ).
tff(c_666494,plain,
product(e_6,e_3,e_4),
inference(splitLeft,[status(thm)],[c_666474]) ).
tff(c_666531,plain,
! [W_8] :
( equalish(W_8,e_4)
| ~ product(e_6,e_3,W_8) ),
inference(resolution,[status(thm)],[c_666494,c_118]) ).
tff(c_669209,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_669203,c_666531]) ).
tff(c_669237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_669209]) ).
tff(c_669238,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_669008]) ).
tff(c_669240,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_669238]) ).
tff(c_669243,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_669240,c_668740]) ).
tff(c_669268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_669243]) ).
tff(c_669269,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_669238]) ).
tff(c_664995,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_3) ),
inference(resolution,[status(thm)],[c_664943,c_122]) ).
tff(c_669321,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_669269,c_664995]) ).
tff(c_669352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_669321]) ).
tff(c_669353,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_668698]) ).
tff(c_669359,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_669353,c_664995]) ).
tff(c_669393,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_669359]) ).
tff(c_669394,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665256]) ).
tff(c_669396,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_669394]) ).
tff(c_669408,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_669396,c_641183]) ).
tff(c_669435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_669408]) ).
tff(c_669436,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_669394]) ).
tff(c_669480,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_669436]) ).
tff(c_669668,plain,
! [X_8298] :
( product(X_8298,e_2,e_2)
| ~ product(X_8298,e_5,e_2) ),
inference(resolution,[status(thm)],[c_669480,c_124]) ).
tff(c_669672,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_669480,c_669668]) ).
tff(c_669529,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_669480,c_120]) ).
tff(c_669675,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_669672,c_669529]) ).
tff(c_669703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_669675]) ).
tff(c_669704,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_669436]) ).
tff(c_669714,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_669704]) ).
tff(c_669753,plain,
! [X_18] :
( product(X_18,e_2,e_4)
| ~ product(X_18,e_5,e_2) ),
inference(resolution,[status(thm)],[c_669714,c_124]) ).
tff(c_673069,plain,
product(e_3,e_2,e_4),
inference(resolution,[status(thm)],[c_673036,c_669753]) ).
tff(c_665840,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_3,e_2,W_8) ),
inference(resolution,[status(thm)],[c_665772,c_118]) ).
tff(c_673107,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_673069,c_665840]) ).
tff(c_673140,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_673107]) ).
tff(c_673141,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_671110]) ).
tff(c_673143,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_673141]) ).
tff(c_669755,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_669714,c_122]) ).
tff(c_673194,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_673143,c_669755]) ).
tff(c_673229,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_673194]) ).
tff(c_673230,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_673141]) ).
tff(c_673247,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_673230,c_664995]) ).
tff(c_673283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_673247]) ).
tff(c_673284,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_669933]) ).
tff(c_673328,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_673284]) ).
tff(c_673331,plain,
product(e_5,e_2,e_4),
inference(resolution,[status(thm)],[c_673328,c_669753]) ).
tff(c_673356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_663678,c_673331]) ).
tff(c_673357,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_673284]) ).
tff(c_673359,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_673357]) ).
tff(c_673362,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_673359,c_669755]) ).
tff(c_673387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_673362]) ).
tff(c_673388,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_673357]) ).
tff(c_673394,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_673388,c_664995]) ).
tff(c_673428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_673394]) ).
tff(c_673429,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_669704]) ).
tff(c_673435,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_673429,c_664995]) ).
tff(c_673466,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_673435]) ).
tff(c_673467,plain,
( product(e_6,e_3,e_3)
| product(e_6,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_666474]) ).
tff(c_673469,plain,
product(e_6,e_3,e_2),
inference(splitLeft,[status(thm)],[c_673467]) ).
tff(c_673477,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_673469,c_628106]) ).
tff(c_673498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_673477]) ).
tff(c_673499,plain,
product(e_6,e_3,e_3),
inference(splitRight,[status(thm)],[c_673467]) ).
tff(c_664994,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_3) ),
inference(resolution,[status(thm)],[c_664943,c_120]) ).
tff(c_673510,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_673499,c_664994]) ).
tff(c_673538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_673510]) ).
tff(c_673540,plain,
~ product(e_3,e_2,e_1),
inference(splitRight,[status(thm)],[c_665503]) ).
tff(c_684629,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665583]) ).
tff(c_683835,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665256]) ).
tff(c_683884,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_683835,c_122]) ).
tff(c_684632,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_684629,c_683884]) ).
tff(c_684661,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_684632]) ).
tff(c_684662,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665583]) ).
tff(c_684721,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_684662]) ).
tff(c_680343,plain,
product(e_5,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1923]) ).
tff(c_680374,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_680343,c_2268]) ).
tff(c_680427,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_680374]) ).
tff(c_680428,plain,
! [X_139] :
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_1923]) ).
tff(c_680522,plain,
product(e_5,e_1,e_5),
inference(splitLeft,[status(thm)],[c_680428]) ).
tff(c_673539,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_665503]) ).
tff(c_673541,plain,
product(e_3,e_2,e_4),
inference(splitLeft,[status(thm)],[c_673539]) ).
tff(c_673673,plain,
! [X_8359] :
( product(X_8359,e_3,e_4)
| ~ product(X_8359,e_2,e_3) ),
inference(resolution,[status(thm)],[c_673541,c_124]) ).
tff(c_673580,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_4) ),
inference(resolution,[status(thm)],[c_673541,c_120]) ).
tff(c_673677,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_673673,c_673580]) ).
tff(c_673694,plain,
~ product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_78,c_673677]) ).
tff(c_673543,plain,
( equalish(e_2,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_673541,c_2639]) ).
tff(c_673563,plain,
( equalish(e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_673543]) ).
tff(c_673564,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_673563]) ).
tff(c_673804,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_673564]) ).
tff(c_673851,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_673804,c_2268]) ).
tff(c_673932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_673851]) ).
tff(c_673933,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_673564]) ).
tff(c_673973,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_673933]) ).
tff(c_674300,plain,
! [X_8369] :
( product(X_8369,e_3,e_3)
| ~ product(X_8369,e_1,e_3) ),
inference(resolution,[status(thm)],[c_673973,c_124]) ).
tff(c_674109,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_673973,c_120]) ).
tff(c_674304,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_674300,c_674109]) ).
tff(c_674338,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_673973,c_674304]) ).
tff(c_674340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_674338]) ).
tff(c_674341,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_673933]) ).
tff(c_674384,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_674341,c_311]) ).
tff(c_674459,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_674384]) ).
tff(c_674461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_673694,c_674459]) ).
tff(c_674463,plain,
~ product(e_3,e_2,e_4),
inference(splitRight,[status(thm)],[c_673539]) ).
tff(c_678061,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665583]) ).
tff(c_676027,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665262]) ).
tff(c_676075,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_676027,c_122]) ).
tff(c_678161,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_678061,c_676075]) ).
tff(c_678190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_678161]) ).
tff(c_678192,plain,
~ product(e_3,e_5,e_1),
inference(splitRight,[status(thm)],[c_665583]) ).
tff(c_678191,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665583]) ).
tff(c_678193,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_678191]) ).
tff(c_676073,plain,
! [X_18] :
( product(X_18,e_5,e_1)
| ~ product(X_18,e_5,e_5) ),
inference(resolution,[status(thm)],[c_676027,c_124]) ).
tff(c_678196,plain,
product(e_3,e_5,e_1),
inference(resolution,[status(thm)],[c_678193,c_676073]) ).
tff(c_678221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_678192,c_678196]) ).
tff(c_678222,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_678191]) ).
tff(c_678266,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_678222]) ).
tff(c_676299,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665256]) ).
tff(c_676302,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_676299,c_676075]) ).
tff(c_676331,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_676302]) ).
tff(c_676333,plain,
~ product(e_2,e_5,e_1),
inference(splitRight,[status(thm)],[c_665256]) ).
tff(c_676332,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665256]) ).
tff(c_676334,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_676332]) ).
tff(c_676445,plain,
product(e_2,e_5,e_1),
inference(resolution,[status(thm)],[c_676334,c_676073]) ).
tff(c_676473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_676333,c_676445]) ).
tff(c_676474,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_676332]) ).
tff(c_676518,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_676474]) ).
tff(c_677223,plain,
! [X_8437] :
( product(X_8437,e_2,e_2)
| ~ product(X_8437,e_5,e_2) ),
inference(resolution,[status(thm)],[c_676518,c_124]) ).
tff(c_677227,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_676518,c_677223]) ).
tff(c_676555,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_676518,c_120]) ).
tff(c_677230,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_677227,c_676555]) ).
tff(c_677251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_677230]) ).
tff(c_677252,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_676474]) ).
tff(c_677254,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_677252]) ).
tff(c_677289,plain,
! [X_18] :
( product(X_18,e_2,e_4)
| ~ product(X_18,e_5,e_2) ),
inference(resolution,[status(thm)],[c_677254,c_124]) ).
tff(c_678269,plain,
product(e_3,e_2,e_4),
inference(resolution,[status(thm)],[c_678266,c_677289]) ).
tff(c_678295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_674463,c_678269]) ).
tff(c_678296,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_678222]) ).
tff(c_678806,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_678296]) ).
tff(c_677291,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_677254,c_122]) ).
tff(c_678809,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_678806,c_677291]) ).
tff(c_678832,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_678809]) ).
tff(c_678833,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_678296]) ).
tff(c_678843,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_678833,c_664995]) ).
tff(c_678872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_678843]) ).
tff(c_678873,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_677252]) ).
tff(c_678879,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_678873,c_664995]) ).
tff(c_678908,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_678879]) ).
tff(c_678909,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665262]) ).
tff(c_678911,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_678909]) ).
tff(c_678951,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_678911,c_120]) ).
tff(c_680525,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_680522,c_678951]) ).
tff(c_680579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_680525]) ).
tff(c_680580,plain,
! [X_139] :
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_680428]) ).
tff(c_680877,plain,
product(e_5,e_1,e_2),
inference(splitLeft,[status(thm)],[c_680580]) ).
tff(c_674462,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_673539]) ).
tff(c_674464,plain,
product(e_3,e_2,e_2),
inference(splitLeft,[status(thm)],[c_674462]) ).
tff(c_674598,plain,
! [X_8373] :
( product(X_8373,e_3,e_2)
| ~ product(X_8373,e_2,e_3) ),
inference(resolution,[status(thm)],[c_674464,c_124]) ).
tff(c_674638,plain,
! [W_11,X_8373] :
( equalish(W_11,e_3)
| ~ product(X_8373,W_11,e_2)
| ~ product(X_8373,e_2,e_3) ),
inference(resolution,[status(thm)],[c_674598,c_120]) ).
tff(c_680886,plain,
( equalish(e_1,e_3)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[c_680877,c_674638]) ).
tff(c_680929,plain,
equalish(e_1,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_663677,c_680886]) ).
tff(c_680931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_680929]) ).
tff(c_680932,plain,
! [X_139] :
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_680580]) ).
tff(c_681104,plain,
product(e_5,e_1,e_4),
inference(splitLeft,[status(thm)],[c_680932]) ).
tff(c_679944,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665583]) ).
tff(c_678954,plain,
! [W_8455] :
( equalish(W_8455,e_5)
| ~ product(e_5,W_8455,e_5) ),
inference(resolution,[status(thm)],[c_678911,c_120]) ).
tff(c_678969,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_628324,c_678954]) ).
tff(c_679003,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_678969]) ).
tff(c_679004,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_679003]) ).
tff(c_679148,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_679004]) ).
tff(c_679359,plain,
! [X_8463] :
( product(X_8463,e_5,e_1)
| ~ product(X_8463,e_6,e_5) ),
inference(resolution,[status(thm)],[c_679148,c_124]) ).
tff(c_679398,plain,
product(e_2,e_5,e_1),
inference(resolution,[status(thm)],[c_641162,c_679359]) ).
tff(c_679470,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_679398,c_122]) ).
tff(c_679956,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_679944,c_679470]) ).
tff(c_679991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_679956]) ).
tff(c_679992,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665583]) ).
tff(c_679998,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_679992]) ).
tff(c_678952,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_5) ),
inference(resolution,[status(thm)],[c_678911,c_122]) ).
tff(c_680006,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_679998,c_678952]) ).
tff(c_680035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_680006]) ).
tff(c_680036,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_679992]) ).
tff(c_680080,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_680036]) ).
tff(c_679468,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_5,e_2) ),
inference(resolution,[status(thm)],[c_679398,c_124]) ).
tff(c_680088,plain,
product(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c_680080,c_679468]) ).
tff(c_680119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_673540,c_680088]) ).
tff(c_680120,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_680036]) ).
tff(c_680122,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_680120]) ).
tff(c_680262,plain,
! [X_8483] :
( product(X_8483,e_3,e_4)
| ~ product(X_8483,e_5,e_3) ),
inference(resolution,[status(thm)],[c_680122,c_124]) ).
tff(c_680269,plain,
product(e_6,e_3,e_4),
inference(resolution,[status(thm)],[c_664943,c_680262]) ).
tff(c_664944,plain,
~ product(e_6,e_5,e_2),
inference(splitRight,[status(thm)],[c_664912]) ).
tff(c_674745,plain,
! [X_8380,X_8381] :
( product(X_8380,X_8381,e_2)
| ~ product(X_8380,e_3,X_8381)
| ~ product(X_8381,e_2,e_3) ),
inference(resolution,[status(thm)],[c_674598,c_124]) ).
tff(c_674756,plain,
( product(e_6,e_5,e_2)
| ~ product(e_5,e_2,e_3)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_461971,c_674745]) ).
tff(c_674781,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_663677,c_674756]) ).
tff(c_674782,plain,
( product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_664944,c_674781]) ).
tff(c_675263,plain,
product(e_6,e_3,e_1),
inference(splitLeft,[status(thm)],[c_674782]) ).
tff(c_675308,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_6,e_3,W_8) ),
inference(resolution,[status(thm)],[c_675263,c_118]) ).
tff(c_680273,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_680269,c_675308]) ).
tff(c_680296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_680273]) ).
tff(c_680297,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_680120]) ).
tff(c_680308,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_680297,c_664995]) ).
tff(c_680340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_680308]) ).
tff(c_680341,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_679004]) ).
tff(c_680448,plain,
product(e_5,e_6,e_4),
inference(splitLeft,[status(thm)],[c_680341]) ).
tff(c_680499,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_5,W_11,e_4) ),
inference(resolution,[status(thm)],[c_680448,c_120]) ).
tff(c_681107,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_681104,c_680499]) ).
tff(c_681156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_681107]) ).
tff(c_681157,plain,
! [X_139] :
( product(e_5,e_1,e_3)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_680932]) ).
tff(c_681214,plain,
product(e_5,e_1,e_3),
inference(splitLeft,[status(thm)],[c_681157]) ).
tff(c_681230,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_681214,c_663724]) ).
tff(c_681285,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_681230]) ).
tff(c_681487,plain,
! [X_8502] :
( product(X_8502,e_5,e_6)
| ~ next(X_8502,e_5)
| product(X_8502,e_1,e_4)
| product(X_8502,e_1,e_3)
| product(X_8502,e_1,e_2)
| product(X_8502,e_1,e_1)
| ~ group_element(X_8502) ),
inference(splitRight,[status(thm)],[c_681157]) ).
tff(c_665240,plain,
! [X_18,X_8175] :
( product(X_18,X_8175,e_3)
| ~ product(X_18,e_6,X_8175)
| ~ product(X_8175,e_5,e_6) ),
inference(resolution,[status(thm)],[c_665168,c_124]) ).
tff(c_680481,plain,
( product(e_5,e_4,e_3)
| ~ product(e_4,e_5,e_6) ),
inference(resolution,[status(thm)],[c_680448,c_665240]) ).
tff(c_681015,plain,
~ product(e_4,e_5,e_6),
inference(splitLeft,[status(thm)],[c_680481]) ).
tff(c_681495,plain,
( ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_681487,c_681015]) ).
tff(c_681562,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_681495]) ).
tff(c_681617,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_681562]) ).
tff(c_681648,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_681617,c_2268]) ).
tff(c_681701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_681648]) ).
tff(c_681702,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_681562]) ).
tff(c_681717,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_681702]) ).
tff(c_681953,plain,
! [X_8506] :
( product(X_8506,e_4,e_4)
| ~ product(X_8506,e_1,e_4) ),
inference(resolution,[status(thm)],[c_681717,c_124]) ).
tff(c_681816,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_681717,c_120]) ).
tff(c_681957,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_681953,c_681816]) ).
tff(c_681988,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_681717,c_681957]) ).
tff(c_681990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_681988]) ).
tff(c_681991,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_681702]) ).
tff(c_682000,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_681991]) ).
tff(c_682022,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_682000,c_311]) ).
tff(c_682073,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_682022]) ).
tff(c_682074,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_682073]) ).
tff(c_663725,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_3) ),
inference(resolution,[status(thm)],[c_663677,c_122]) ).
tff(c_682094,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_682074,c_663725]) ).
tff(c_682116,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_682094]) ).
tff(c_682117,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_681991]) ).
tff(c_682214,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_682117,c_124]) ).
tff(c_682358,plain,
! [X_8510] :
( product(X_8510,e_4,e_3)
| ~ product(X_8510,e_1,e_4) ),
inference(resolution,[status(thm)],[c_682117,c_124]) ).
tff(c_682594,plain,
! [X_8519,X_8520] :
( product(X_8519,X_8520,e_3)
| ~ product(X_8519,e_4,X_8520)
| ~ product(X_8520,e_1,e_4) ),
inference(resolution,[status(thm)],[c_682358,c_124]) ).
tff(c_682621,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_682214,c_682594]) ).
tff(c_682646,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_682621]) ).
tff(c_682649,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_682646]) ).
tff(c_682652,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_682649]) ).
tff(c_682653,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_682652]) ).
tff(c_682685,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_682653,c_2268]) ).
tff(c_682738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_682685]) ).
tff(c_682739,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_682652]) ).
tff(c_682753,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_682739]) ).
tff(c_682217,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_682117,c_122]) ).
tff(c_682766,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_682753,c_682217]) ).
tff(c_682818,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_682766]) ).
tff(c_682819,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_682739]) ).
tff(c_674505,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_674464,c_120]) ).
tff(c_682839,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_682819,c_674505]) ).
tff(c_682885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_682839]) ).
tff(c_683121,plain,
! [X_8525] :
( product(X_8525,e_3,e_3)
| ~ product(X_8525,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_682621]) ).
tff(c_682412,plain,
! [W_11,X_8510] :
( equalish(W_11,e_4)
| ~ product(X_8510,W_11,e_3)
| ~ product(X_8510,e_1,e_4) ),
inference(resolution,[status(thm)],[c_682358,c_120]) ).
tff(c_683123,plain,
! [X_8525] :
( equalish(e_3,e_4)
| ~ product(X_8525,e_1,e_4) ),
inference(resolution,[status(thm)],[c_683121,c_682412]) ).
tff(c_683165,plain,
! [X_8525] : ~ product(X_8525,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_80,c_683123]) ).
tff(c_682887,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_682621]) ).
tff(c_683204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_683165,c_682887]) ).
tff(c_683205,plain,
product(e_5,e_4,e_3),
inference(splitRight,[status(thm)],[c_680481]) ).
tff(c_683213,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_683205,c_663724]) ).
tff(c_683235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_683213]) ).
tff(c_683236,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_680341]) ).
tff(c_683347,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_683236]) ).
tff(c_683355,plain,
( equalish(e_6,e_3)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[c_683347,c_674638]) ).
tff(c_683390,plain,
equalish(e_6,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_663677,c_683355]) ).
tff(c_683392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_683390]) ).
tff(c_683393,plain,
product(e_5,e_6,e_3),
inference(splitRight,[status(thm)],[c_683236]) ).
tff(c_683413,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_683393,c_663724]) ).
tff(c_683447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_683413]) ).
tff(c_683448,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_678909]) ).
tff(c_683492,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_683448]) ).
tff(c_683494,plain,
( equalish(e_5,e_3)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[c_683492,c_674638]) ).
tff(c_683514,plain,
equalish(e_5,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_663677,c_683494]) ).
tff(c_683516,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_683514]) ).
tff(c_683517,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_683448]) ).
tff(c_683519,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_683517]) ).
tff(c_683553,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_5,e_5) ),
inference(resolution,[status(thm)],[c_683519,c_124]) ).
tff(c_684746,plain,
product(e_3,e_5,e_4),
inference(resolution,[status(thm)],[c_684721,c_683553]) ).
tff(c_683555,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_683519,c_122]) ).
tff(c_684770,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_684746,c_683555]) ).
tff(c_684793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_684770]) ).
tff(c_684794,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_684662]) ).
tff(c_684838,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_684794]) ).
tff(c_683882,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_5,e_2) ),
inference(resolution,[status(thm)],[c_683835,c_124]) ).
tff(c_684903,plain,
product(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c_684838,c_683882]) ).
tff(c_684929,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_673540,c_684903]) ).
tff(c_684930,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_684794]) ).
tff(c_684932,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_684930]) ).
tff(c_684935,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_684932,c_683555]) ).
tff(c_684958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_684935]) ).
tff(c_684959,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_684930]) ).
tff(c_684965,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_684959,c_664995]) ).
tff(c_684994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_684965]) ).
tff(c_684995,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665256]) ).
tff(c_685501,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_684995]) ).
tff(c_685516,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_685501,c_641183]) ).
tff(c_685544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_685516]) ).
tff(c_685545,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_684995]) ).
tff(c_685589,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_685545]) ).
tff(c_685819,plain,
! [X_8548] :
( product(X_8548,e_2,e_2)
| ~ product(X_8548,e_5,e_2) ),
inference(resolution,[status(thm)],[c_685589,c_124]) ).
tff(c_685823,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_685589,c_685819]) ).
tff(c_685688,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_685589,c_120]) ).
tff(c_685907,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_685823,c_685688]) ).
tff(c_685928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_685907]) ).
tff(c_685929,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_685545]) ).
tff(c_685931,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_685929]) ).
tff(c_685934,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_685931,c_683555]) ).
tff(c_685957,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_685934]) ).
tff(c_685958,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_685929]) ).
tff(c_685964,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_685958,c_664995]) ).
tff(c_685993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_685964]) ).
tff(c_685994,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_683517]) ).
tff(c_686000,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_685994,c_664995]) ).
tff(c_686032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_686000]) ).
tff(c_686033,plain,
( product(e_6,e_3,e_2)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_674782]) ).
tff(c_686043,plain,
product(e_6,e_3,e_4),
inference(splitLeft,[status(thm)],[c_686033]) ).
tff(c_674637,plain,
! [X_18,X_8373] :
( product(X_18,X_8373,e_2)
| ~ product(X_18,e_3,X_8373)
| ~ product(X_8373,e_2,e_3) ),
inference(resolution,[status(thm)],[c_674598,c_124]) ).
tff(c_686063,plain,
( product(e_6,e_4,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[c_686043,c_674637]) ).
tff(c_686258,plain,
~ product(e_4,e_2,e_3),
inference(splitLeft,[status(thm)],[c_686063]) ).
tff(c_686828,plain,
product(e_5,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1923]) ).
tff(c_686859,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_686828,c_2268]) ).
tff(c_686912,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_686859]) ).
tff(c_686913,plain,
! [X_139] :
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_1923]) ).
tff(c_686927,plain,
product(e_5,e_1,e_5),
inference(splitLeft,[status(thm)],[c_686913]) ).
tff(c_687267,plain,
! [X_8582] :
( product(X_8582,e_5,e_5)
| ~ product(X_8582,e_1,e_5) ),
inference(resolution,[status(thm)],[c_686927,c_124]) ).
tff(c_687029,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_686927,c_120]) ).
tff(c_687271,plain,
( equalish(e_5,e_1)
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[c_687267,c_687029]) ).
tff(c_687307,plain,
equalish(e_5,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_686927,c_687271]) ).
tff(c_687309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_687307]) ).
tff(c_687310,plain,
! [X_139] :
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_686913]) ).
tff(c_687362,plain,
product(e_5,e_1,e_2),
inference(splitLeft,[status(thm)],[c_687310]) ).
tff(c_687371,plain,
( equalish(e_1,e_3)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[c_687362,c_674638]) ).
tff(c_687414,plain,
equalish(e_1,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_663677,c_687371]) ).
tff(c_687416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_687414]) ).
tff(c_687417,plain,
! [X_139] :
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_687310]) ).
tff(c_687571,plain,
product(e_5,e_1,e_4),
inference(splitLeft,[status(thm)],[c_687417]) ).
tff(c_687665,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_1,e_5) ),
inference(resolution,[status(thm)],[c_687571,c_124]) ).
tff(c_687804,plain,
! [X_8589] :
( product(X_8589,e_5,e_4)
| ~ product(X_8589,e_1,e_5) ),
inference(resolution,[status(thm)],[c_687571,c_124]) ).
tff(c_688191,plain,
! [X_8599,X_8600] :
( product(X_8599,X_8600,e_4)
| ~ product(X_8599,e_5,X_8600)
| ~ product(X_8600,e_1,e_5) ),
inference(resolution,[status(thm)],[c_687804,c_124]) ).
tff(c_688224,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_1,e_5)
| ~ product(X_18,e_1,e_5) ),
inference(resolution,[status(thm)],[c_687665,c_688191]) ).
tff(c_688255,plain,
~ product(e_4,e_1,e_5),
inference(splitLeft,[status(thm)],[c_688224]) ).
tff(c_688278,plain,
( ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_236,c_688255]) ).
tff(c_688299,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_688278]) ).
tff(c_688387,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_688299]) ).
tff(c_686177,plain,
! [X_8553] :
( product(X_8553,e_6,e_4)
| ~ product(X_8553,e_3,e_6) ),
inference(resolution,[status(thm)],[c_686043,c_124]) ).
tff(c_686221,plain,
! [X_8553] :
( product(X_8553,e_4,e_5)
| ~ product(e_4,e_2,e_6)
| ~ product(X_8553,e_3,e_6) ),
inference(resolution,[status(thm)],[c_686177,c_641665]) ).
tff(c_686463,plain,
~ product(e_4,e_2,e_6),
inference(splitLeft,[status(thm)],[c_686221]) ).
tff(c_686466,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_686463]) ).
tff(c_686469,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_46,c_686466]) ).
tff(c_686470,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_686258,c_686469]) ).
tff(c_686500,plain,
product(e_4,e_2,e_1),
inference(splitLeft,[status(thm)],[c_686470]) ).
tff(c_686535,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_4,W_11,e_1) ),
inference(resolution,[status(thm)],[c_686500,c_120]) ).
tff(c_688394,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_688387,c_686535]) ).
tff(c_688445,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_688394]) ).
tff(c_688446,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_688299]) ).
tff(c_688460,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_688446]) ).
tff(c_687668,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_687571,c_122]) ).
tff(c_688465,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_688460,c_687668]) ).
tff(c_688518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_688465]) ).
tff(c_688519,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_688446]) ).
tff(c_688528,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_688519]) ).
tff(c_688550,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_688528,c_311]) ).
tff(c_688600,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_688550]) ).
tff(c_688602,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_686258,c_688600]) ).
tff(c_688603,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_688519]) ).
tff(c_688846,plain,
! [X_8604] :
( product(X_8604,e_4,e_3)
| ~ product(X_8604,e_1,e_4) ),
inference(resolution,[status(thm)],[c_688603,c_124]) ).
tff(c_688867,plain,
( equalish(e_4,e_2)
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[c_688846,c_663724]) ).
tff(c_688899,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_687571,c_688867]) ).
tff(c_688901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_688899]) ).
tff(c_689235,plain,
! [X_8608] :
( product(X_8608,e_4,e_4)
| ~ product(X_8608,e_1,e_5) ),
inference(splitRight,[status(thm)],[c_688224]) ).
tff(c_687873,plain,
! [W_11,X_8589] :
( equalish(W_11,e_5)
| ~ product(X_8589,W_11,e_4)
| ~ product(X_8589,e_1,e_5) ),
inference(resolution,[status(thm)],[c_687804,c_120]) ).
tff(c_689237,plain,
! [X_8608] :
( equalish(e_4,e_5)
| ~ product(X_8608,e_1,e_5) ),
inference(resolution,[status(thm)],[c_689235,c_687873]) ).
tff(c_689269,plain,
! [X_8608] : ~ product(X_8608,e_1,e_5),
inference(negUnitSimplification,[status(thm)],[c_92,c_689237]) ).
tff(c_688903,plain,
product(e_4,e_1,e_5),
inference(splitRight,[status(thm)],[c_688224]) ).
tff(c_689295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_689269,c_688903]) ).
tff(c_689296,plain,
! [X_139] :
( product(e_5,e_1,e_3)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_687417]) ).
tff(c_689358,plain,
product(e_5,e_1,e_3),
inference(splitLeft,[status(thm)],[c_689296]) ).
tff(c_689374,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_689358,c_663724]) ).
tff(c_689429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_689374]) ).
tff(c_689550,plain,
! [X_8610] :
( product(X_8610,e_5,e_6)
| ~ next(X_8610,e_5)
| product(X_8610,e_1,e_4)
| product(X_8610,e_1,e_3)
| product(X_8610,e_1,e_2)
| product(X_8610,e_1,e_1)
| ~ group_element(X_8610) ),
inference(splitRight,[status(thm)],[c_689296]) ).
tff(c_686217,plain,
! [X_8553] :
( product(X_8553,e_4,e_3)
| ~ product(e_4,e_5,e_6)
| ~ product(X_8553,e_3,e_6) ),
inference(resolution,[status(thm)],[c_686177,c_665240]) ).
tff(c_686471,plain,
~ product(e_4,e_5,e_6),
inference(splitLeft,[status(thm)],[c_686217]) ).
tff(c_689557,plain,
( ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_689550,c_686471]) ).
tff(c_689613,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_689557]) ).
tff(c_690138,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_689613]) ).
tff(c_690143,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_690138,c_686535]) ).
tff(c_690194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_690143]) ).
tff(c_690195,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_689613]) ).
tff(c_690209,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_690195]) ).
tff(c_690445,plain,
! [X_8622] :
( product(X_8622,e_4,e_4)
| ~ product(X_8622,e_1,e_4) ),
inference(resolution,[status(thm)],[c_690209,c_124]) ).
tff(c_690308,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_690209,c_120]) ).
tff(c_690449,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_690445,c_690308]) ).
tff(c_690481,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_690209,c_690449]) ).
tff(c_690483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_690481]) ).
tff(c_690484,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_690195]) ).
tff(c_690493,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_690484]) ).
tff(c_690515,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_690493,c_311]) ).
tff(c_690565,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_690515]) ).
tff(c_690567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_686258,c_690565]) ).
tff(c_690568,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_690484]) ).
tff(c_690665,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_690568,c_124]) ).
tff(c_690809,plain,
! [X_8626] :
( product(X_8626,e_4,e_3)
| ~ product(X_8626,e_1,e_4) ),
inference(resolution,[status(thm)],[c_690568,c_124]) ).
tff(c_691060,plain,
! [X_8636,X_8637] :
( product(X_8636,X_8637,e_3)
| ~ product(X_8636,e_4,X_8637)
| ~ product(X_8637,e_1,e_4) ),
inference(resolution,[status(thm)],[c_690809,c_124]) ).
tff(c_691089,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_690665,c_691060]) ).
tff(c_691116,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_691089]) ).
tff(c_691119,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_691116]) ).
tff(c_691122,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_691119]) ).
tff(c_691130,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_691122]) ).
tff(c_691161,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_691130,c_2268]) ).
tff(c_691215,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_691161]) ).
tff(c_691216,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_691122]) ).
tff(c_691230,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_691216]) ).
tff(c_690668,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_690568,c_122]) ).
tff(c_691236,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_691230,c_690668]) ).
tff(c_691288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_691236]) ).
tff(c_691289,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_691216]) ).
tff(c_691309,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_691289,c_674505]) ).
tff(c_691355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_691309]) ).
tff(c_691591,plain,
! [X_8641] :
( product(X_8641,e_3,e_3)
| ~ product(X_8641,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_691089]) ).
tff(c_690872,plain,
! [W_11,X_8626] :
( equalish(W_11,e_4)
| ~ product(X_8626,W_11,e_3)
| ~ product(X_8626,e_1,e_4) ),
inference(resolution,[status(thm)],[c_690809,c_120]) ).
tff(c_691593,plain,
! [X_8641] :
( equalish(e_3,e_4)
| ~ product(X_8641,e_1,e_4) ),
inference(resolution,[status(thm)],[c_691591,c_690872]) ).
tff(c_691635,plain,
! [X_8641] : ~ product(X_8641,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_80,c_691593]) ).
tff(c_691357,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_691089]) ).
tff(c_691673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_691635,c_691357]) ).
tff(c_691674,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_686470]) ).
tff(c_691676,plain,
product(e_4,e_2,e_5),
inference(splitLeft,[status(thm)],[c_691674]) ).
tff(c_663865,plain,
! [W_14,X_8141] :
( equalish(W_14,X_8141)
| ~ product(W_14,e_5,e_3)
| ~ product(X_8141,e_2,e_5) ),
inference(resolution,[status(thm)],[c_663827,c_122]) ).
tff(c_664971,plain,
! [X_8141] :
( equalish(e_6,X_8141)
| ~ product(X_8141,e_2,e_5) ),
inference(resolution,[status(thm)],[c_664943,c_663865]) ).
tff(c_691682,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_691676,c_664971]) ).
tff(c_691708,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_691682]) ).
tff(c_691709,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_691674]) ).
tff(c_691753,plain,
product(e_4,e_2,e_2),
inference(splitLeft,[status(thm)],[c_691709]) ).
tff(c_674506,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_674464,c_122]) ).
tff(c_691758,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_691753,c_674506]) ).
tff(c_691776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_691758]) ).
tff(c_691777,plain,
product(e_4,e_2,e_4),
inference(splitRight,[status(thm)],[c_691709]) ).
tff(c_691901,plain,
! [X_8645] :
( product(X_8645,e_4,e_4)
| ~ product(X_8645,e_2,e_4) ),
inference(resolution,[status(thm)],[c_691777,c_124]) ).
tff(c_691810,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_691777,c_120]) ).
tff(c_691905,plain,
( equalish(e_4,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c_691901,c_691810]) ).
tff(c_691928,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_691777,c_691905]) ).
tff(c_691930,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_691928]) ).
tff(c_691932,plain,
product(e_4,e_5,e_6),
inference(splitRight,[status(thm)],[c_686217]) ).
tff(c_663864,plain,
! [W_11,X_8141] :
( equalish(W_11,e_5)
| ~ product(X_8141,W_11,e_3)
| ~ product(X_8141,e_2,e_5) ),
inference(resolution,[status(thm)],[c_663827,c_120]) ).
tff(c_665174,plain,
! [X_8175] :
( equalish(e_6,e_5)
| ~ product(X_8175,e_2,e_5)
| ~ product(X_8175,e_5,e_6) ),
inference(resolution,[status(thm)],[c_665168,c_663864]) ).
tff(c_665213,plain,
! [X_8175] :
( ~ product(X_8175,e_2,e_5)
| ~ product(X_8175,e_5,e_6) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_665174]) ).
tff(c_691971,plain,
~ product(e_4,e_2,e_5),
inference(resolution,[status(thm)],[c_691932,c_665213]) ).
tff(c_692679,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_691971,c_686470]) ).
tff(c_692680,plain,
product(e_4,e_2,e_1),
inference(splitLeft,[status(thm)],[c_692679]) ).
tff(c_693336,plain,
! [X_8676] :
( product(X_8676,e_4,e_1)
| ~ product(X_8676,e_2,e_4) ),
inference(resolution,[status(thm)],[c_692680,c_124]) ).
tff(c_693355,plain,
( equalish(e_4,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[c_693336,c_2267]) ).
tff(c_693383,plain,
~ product(e_1,e_2,e_4),
inference(negUnitSimplification,[status(thm)],[c_86,c_693355]) ).
tff(c_695242,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665256]) ).
tff(c_663863,plain,
! [X_18,X_8141] :
( product(X_18,X_8141,e_3)
| ~ product(X_18,e_5,X_8141)
| ~ product(X_8141,e_2,e_5) ),
inference(resolution,[status(thm)],[c_663827,c_124]) ).
tff(c_695275,plain,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[c_695242,c_663863]) ).
tff(c_695448,plain,
~ product(e_1,e_2,e_5),
inference(splitLeft,[status(thm)],[c_695275]) ).
tff(c_692524,plain,
product(e_5,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1923]) ).
tff(c_692553,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_692524,c_2268]) ).
tff(c_692604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_692553]) ).
tff(c_692605,plain,
! [X_139] :
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_1923]) ).
tff(c_692718,plain,
product(e_5,e_1,e_5),
inference(splitLeft,[status(thm)],[c_692605]) ).
tff(c_693148,plain,
! [X_8672] :
( product(X_8672,e_5,e_5)
| ~ product(X_8672,e_1,e_5) ),
inference(resolution,[status(thm)],[c_692718,c_124]) ).
tff(c_692820,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_692718,c_120]) ).
tff(c_693152,plain,
( equalish(e_5,e_1)
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[c_693148,c_692820]) ).
tff(c_693192,plain,
equalish(e_5,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_692718,c_693152]) ).
tff(c_693194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_693192]) ).
tff(c_693196,plain,
~ product(e_5,e_1,e_5),
inference(splitRight,[status(thm)],[c_692605]) ).
tff(c_695491,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665262]) ).
tff(c_695292,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_695242,c_122]) ).
tff(c_695494,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_695491,c_695292]) ).
tff(c_695523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_695494]) ).
tff(c_695524,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665262]) ).
tff(c_695526,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_695524]) ).
tff(c_695570,plain,
! [W_8723] :
( equalish(W_8723,e_5)
| ~ product(e_5,W_8723,e_5) ),
inference(resolution,[status(thm)],[c_695526,c_120]) ).
tff(c_695585,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_628324,c_695570]) ).
tff(c_695619,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_695585]) ).
tff(c_695620,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_695619]) ).
tff(c_695772,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_695620]) ).
tff(c_695789,plain,
( product(e_5,e_1,e_5)
| ~ product(e_1,e_2,e_6) ),
inference(resolution,[status(thm)],[c_695772,c_641665]) ).
tff(c_695825,plain,
~ product(e_1,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_693196,c_695789]) ).
tff(c_695845,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_695825]) ).
tff(c_695848,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_695845]) ).
tff(c_695849,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_693383,c_695448,c_695848]) ).
tff(c_696405,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_695849]) ).
tff(c_692716,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_692680,c_122]) ).
tff(c_696412,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_696405,c_692716]) ).
tff(c_696441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_696412]) ).
tff(c_696442,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(splitRight,[status(thm)],[c_695849]) ).
tff(c_696444,plain,
product(e_1,e_2,e_3),
inference(splitLeft,[status(thm)],[c_696442]) ).
tff(c_696453,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_696444,c_663725]) ).
tff(c_696477,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_696453]) ).
tff(c_696478,plain,
product(e_1,e_2,e_2),
inference(splitRight,[status(thm)],[c_696442]) ).
tff(c_696484,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_696478,c_674506]) ).
tff(c_696502,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_696484]) ).
tff(c_696503,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_695620]) ).
tff(c_696505,plain,
product(e_5,e_6,e_4),
inference(splitLeft,[status(thm)],[c_696503]) ).
tff(c_696519,plain,
( product(e_5,e_4,e_3)
| ~ product(e_4,e_5,e_6) ),
inference(resolution,[status(thm)],[c_696505,c_665240]) ).
tff(c_696551,plain,
product(e_5,e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_691932,c_696519]) ).
tff(c_696592,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_696551,c_663724]) ).
tff(c_696623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_696592]) ).
tff(c_696624,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_696503]) ).
tff(c_696630,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_696624]) ).
tff(c_696637,plain,
( equalish(e_6,e_3)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[c_696630,c_674638]) ).
tff(c_696672,plain,
equalish(e_6,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_663677,c_696637]) ).
tff(c_696674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_696672]) ).
tff(c_696675,plain,
product(e_5,e_6,e_3),
inference(splitRight,[status(thm)],[c_696624]) ).
tff(c_691946,plain,
( product(e_4,e_6,e_3)
| ~ product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[c_691932,c_663863]) ).
tff(c_691974,plain,
product(e_4,e_6,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_641383,c_691946]) ).
tff(c_692102,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_6,e_3) ),
inference(resolution,[status(thm)],[c_691974,c_122]) ).
tff(c_696681,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_696675,c_692102]) ).
tff(c_696725,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_696681]) ).
tff(c_696726,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_695524]) ).
tff(c_696770,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_696726]) ).
tff(c_695290,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_5,e_2) ),
inference(resolution,[status(thm)],[c_695242,c_124]) ).
tff(c_696773,plain,
product(e_5,e_2,e_1),
inference(resolution,[status(thm)],[c_696770,c_695290]) ).
tff(c_696796,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_647077,c_696773]) ).
tff(c_696797,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_696726]) ).
tff(c_696799,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_696797]) ).
tff(c_691991,plain,
! [X_18] :
( product(X_18,e_4,e_6)
| ~ product(X_18,e_5,e_4) ),
inference(resolution,[status(thm)],[c_691932,c_124]) ).
tff(c_696824,plain,
product(e_5,e_4,e_6),
inference(resolution,[status(thm)],[c_696799,c_691991]) ).
tff(c_697153,plain,
! [X_8750] :
( product(X_8750,e_5,e_6)
| ~ product(X_8750,e_4,e_5) ),
inference(resolution,[status(thm)],[c_696824,c_124]) ).
tff(c_665242,plain,
! [W_14,X_8175] :
( equalish(W_14,X_8175)
| ~ product(W_14,e_6,e_3)
| ~ product(X_8175,e_5,e_6) ),
inference(resolution,[status(thm)],[c_665168,c_122]) ).
tff(c_692080,plain,
! [X_8175] :
( equalish(e_4,X_8175)
| ~ product(X_8175,e_5,e_6) ),
inference(resolution,[status(thm)],[c_691974,c_665242]) ).
tff(c_697477,plain,
! [X_8752] :
( equalish(e_4,X_8752)
| ~ product(X_8752,e_4,e_5) ),
inference(resolution,[status(thm)],[c_697153,c_692080]) ).
tff(c_697489,plain,
( equalish(e_4,e_6)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_461971,c_697477]) ).
tff(c_697514,plain,
( equalish(e_4,e_6)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_697489]) ).
tff(c_697515,plain,
( product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_94,c_697514]) ).
tff(c_698275,plain,
product(e_6,e_4,e_1),
inference(splitLeft,[status(thm)],[c_697515]) ).
tff(c_698459,plain,
! [X_8780] :
( product(X_8780,e_6,e_1)
| ~ product(X_8780,e_4,e_6) ),
inference(resolution,[status(thm)],[c_698275,c_124]) ).
tff(c_698863,plain,
! [X_8794,X_8795] :
( product(X_8794,X_8795,e_1)
| ~ product(X_8794,e_6,X_8795)
| ~ product(X_8795,e_4,e_6) ),
inference(resolution,[status(thm)],[c_698459,c_124]) ).
tff(c_698875,plain,
! [X_18] :
( product(X_18,e_5,e_1)
| ~ product(e_5,e_4,e_6)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_641415,c_698863]) ).
tff(c_698954,plain,
! [X_8796] :
( product(X_8796,e_5,e_1)
| ~ product(X_8796,e_2,e_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_696824,c_698875]) ).
tff(c_699015,plain,
( equalish(e_5,e_1)
| ~ product(e_1,e_2,e_6) ),
inference(resolution,[status(thm)],[c_698954,c_2267]) ).
tff(c_699065,plain,
~ product(e_1,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_96,c_699015]) ).
tff(c_699079,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_699065]) ).
tff(c_699082,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_699079]) ).
tff(c_699083,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_693383,c_695448,c_699082]) ).
tff(c_699419,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_699083]) ).
tff(c_699428,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_699419,c_692716]) ).
tff(c_699459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_699428]) ).
tff(c_699460,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(splitRight,[status(thm)],[c_699083]) ).
tff(c_699462,plain,
product(e_1,e_2,e_3),
inference(splitLeft,[status(thm)],[c_699460]) ).
tff(c_699525,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_699462,c_663725]) ).
tff(c_699551,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_699525]) ).
tff(c_699552,plain,
product(e_1,e_2,e_2),
inference(splitRight,[status(thm)],[c_699460]) ).
tff(c_699558,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_699552,c_674506]) ).
tff(c_699576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_699558]) ).
tff(c_699577,plain,
( product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_697515]) ).
tff(c_699649,plain,
product(e_6,e_4,e_4),
inference(splitLeft,[status(thm)],[c_699577]) ).
tff(c_686078,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_6,W_11,e_4) ),
inference(resolution,[status(thm)],[c_686043,c_120]) ).
tff(c_699664,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_699649,c_686078]) ).
tff(c_699691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_699664]) ).
tff(c_699692,plain,
( product(e_6,e_4,e_3)
| product(e_6,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_699577]) ).
tff(c_699694,plain,
product(e_6,e_4,e_2),
inference(splitLeft,[status(thm)],[c_699692]) ).
tff(c_699760,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_699694,c_628106]) ).
tff(c_699785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_699760]) ).
tff(c_699786,plain,
product(e_6,e_4,e_3),
inference(splitRight,[status(thm)],[c_699692]) ).
tff(c_699808,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_699786,c_664994]) ).
tff(c_699842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_699808]) ).
tff(c_699843,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_696797]) ).
tff(c_699851,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_699843,c_664995]) ).
tff(c_699885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_699851]) ).
tff(c_699887,plain,
product(e_1,e_2,e_5),
inference(splitRight,[status(thm)],[c_695275]) ).
tff(c_699998,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_699887,c_664971]) ).
tff(c_700024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_699998]) ).
tff(c_700026,plain,
~ product(e_2,e_5,e_1),
inference(splitRight,[status(thm)],[c_665256]) ).
tff(c_700928,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665583]) ).
tff(c_700673,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_665262]) ).
tff(c_700723,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_700673,c_122]) ).
tff(c_700931,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_700928,c_700723]) ).
tff(c_700960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_700931]) ).
tff(c_700962,plain,
~ product(e_3,e_5,e_1),
inference(splitRight,[status(thm)],[c_665583]) ).
tff(c_700961,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665583]) ).
tff(c_700963,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_700961]) ).
tff(c_700721,plain,
! [X_18] :
( product(X_18,e_5,e_1)
| ~ product(X_18,e_5,e_5) ),
inference(resolution,[status(thm)],[c_700673,c_124]) ).
tff(c_700966,plain,
product(e_3,e_5,e_1),
inference(resolution,[status(thm)],[c_700963,c_700721]) ).
tff(c_700991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_700962,c_700966]) ).
tff(c_700992,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_700961]) ).
tff(c_701036,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_700992]) ).
tff(c_700025,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665256]) ).
tff(c_700027,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_700025]) ).
tff(c_700039,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_700027,c_641183]) ).
tff(c_700066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_700039]) ).
tff(c_700067,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_700025]) ).
tff(c_700111,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_700067]) ).
tff(c_700288,plain,
! [X_8819] :
( product(X_8819,e_2,e_2)
| ~ product(X_8819,e_5,e_2) ),
inference(resolution,[status(thm)],[c_700111,c_124]) ).
tff(c_700292,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_700111,c_700288]) ).
tff(c_700148,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_700111,c_120]) ).
tff(c_700295,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_700292,c_700148]) ).
tff(c_700316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_700295]) ).
tff(c_700317,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_700067]) ).
tff(c_700319,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_700317]) ).
tff(c_700363,plain,
! [X_18] :
( product(X_18,e_2,e_4)
| ~ product(X_18,e_5,e_2) ),
inference(resolution,[status(thm)],[c_700319,c_124]) ).
tff(c_701039,plain,
product(e_3,e_2,e_4),
inference(resolution,[status(thm)],[c_701036,c_700363]) ).
tff(c_701065,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_674463,c_701039]) ).
tff(c_701066,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_700992]) ).
tff(c_701068,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_701066]) ).
tff(c_700365,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_700319,c_122]) ).
tff(c_701071,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_701068,c_700365]) ).
tff(c_701099,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_701071]) ).
tff(c_701100,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_701066]) ).
tff(c_701108,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_701100,c_664995]) ).
tff(c_701139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_701108]) ).
tff(c_701140,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_665262]) ).
tff(c_701142,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_701140]) ).
tff(c_701185,plain,
! [W_8832] :
( equalish(W_8832,e_5)
| ~ product(e_5,W_8832,e_5) ),
inference(resolution,[status(thm)],[c_701142,c_120]) ).
tff(c_701200,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_628324,c_701185]) ).
tff(c_701234,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_701200]) ).
tff(c_701235,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_701234]) ).
tff(c_701387,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_701235]) ).
tff(c_701599,plain,
! [X_8838] :
( product(X_8838,e_5,e_1)
| ~ product(X_8838,e_6,e_5) ),
inference(resolution,[status(thm)],[c_701387,c_124]) ).
tff(c_701605,plain,
product(e_2,e_5,e_1),
inference(resolution,[status(thm)],[c_641162,c_701599]) ).
tff(c_701641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_700026,c_701605]) ).
tff(c_701642,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_701235]) ).
tff(c_701644,plain,
product(e_5,e_6,e_4),
inference(splitLeft,[status(thm)],[c_701642]) ).
tff(c_701658,plain,
( product(e_5,e_4,e_3)
| ~ product(e_4,e_5,e_6) ),
inference(resolution,[status(thm)],[c_701644,c_665240]) ).
tff(c_701690,plain,
product(e_5,e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_691932,c_701658]) ).
tff(c_701731,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_701690,c_663724]) ).
tff(c_701762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_701731]) ).
tff(c_701763,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_701642]) ).
tff(c_701769,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_701763]) ).
tff(c_701776,plain,
( equalish(e_6,e_3)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[c_701769,c_674638]) ).
tff(c_701811,plain,
equalish(e_6,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_663677,c_701776]) ).
tff(c_701813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_701811]) ).
tff(c_701814,plain,
product(e_5,e_6,e_3),
inference(splitRight,[status(thm)],[c_701763]) ).
tff(c_701820,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_701814,c_692102]) ).
tff(c_701864,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_701820]) ).
tff(c_701865,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_701140]) ).
tff(c_701909,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_701865]) ).
tff(c_701912,plain,
product(e_5,e_2,e_4),
inference(resolution,[status(thm)],[c_701909,c_700363]) ).
tff(c_701935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_663678,c_701912]) ).
tff(c_701936,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_701865]) ).
tff(c_701938,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_701936]) ).
tff(c_701941,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_701938,c_700365]) ).
tff(c_701969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_701941]) ).
tff(c_701970,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_701936]) ).
tff(c_701978,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_701970,c_664995]) ).
tff(c_702012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_701978]) ).
tff(c_702013,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_700317]) ).
tff(c_702021,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_702013,c_664995]) ).
tff(c_702052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_702021]) ).
tff(c_702053,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_692679]) ).
tff(c_702550,plain,
product(e_4,e_2,e_4),
inference(splitLeft,[status(thm)],[c_702053]) ).
tff(c_702673,plain,
! [X_8846] :
( product(X_8846,e_4,e_4)
| ~ product(X_8846,e_2,e_4) ),
inference(resolution,[status(thm)],[c_702550,c_124]) ).
tff(c_702582,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_702550,c_120]) ).
tff(c_702677,plain,
( equalish(e_4,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c_702673,c_702582]) ).
tff(c_702705,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_702550,c_702677]) ).
tff(c_702707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_702705]) ).
tff(c_702708,plain,
product(e_4,e_2,e_2),
inference(splitRight,[status(thm)],[c_702053]) ).
tff(c_702815,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_702708,c_674506]) ).
tff(c_702833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_702815]) ).
tff(c_702835,plain,
product(e_4,e_2,e_6),
inference(splitRight,[status(thm)],[c_686221]) ).
tff(c_702846,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_702835,c_641838]) ).
tff(c_702869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_702846]) ).
tff(c_702870,plain,
product(e_6,e_4,e_2),
inference(splitRight,[status(thm)],[c_686063]) ).
tff(c_702876,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_702870,c_628106]) ).
tff(c_702894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_702876]) ).
tff(c_702895,plain,
( product(e_6,e_3,e_3)
| product(e_6,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_686033]) ).
tff(c_702897,plain,
product(e_6,e_3,e_2),
inference(splitLeft,[status(thm)],[c_702895]) ).
tff(c_702909,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_702897,c_628106]) ).
tff(c_702931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_702909]) ).
tff(c_702932,plain,
product(e_6,e_3,e_3),
inference(splitRight,[status(thm)],[c_702895]) ).
tff(c_702947,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_702932,c_664994]) ).
tff(c_702973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_702947]) ).
tff(c_702974,plain,
product(e_3,e_2,e_3),
inference(splitRight,[status(thm)],[c_674462]) ).
tff(c_702990,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_702974,c_663725]) ).
tff(c_703021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_702990]) ).
tff(c_703023,plain,
product(e_3,e_5,e_6),
inference(splitRight,[status(thm)],[c_665539]) ).
tff(c_703034,plain,
( product(e_3,e_6,e_3)
| ~ product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[c_703023,c_663863]) ).
tff(c_703061,plain,
product(e_3,e_6,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_641383,c_703034]) ).
tff(c_703082,plain,
( product(e_3,e_3,e_3)
| ~ product(e_3,e_5,e_6) ),
inference(resolution,[status(thm)],[c_703061,c_665240]) ).
tff(c_703115,plain,
product(e_3,e_3,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_703023,c_703082]) ).
tff(c_665241,plain,
! [W_11,X_8175] :
( equalish(W_11,e_6)
| ~ product(X_8175,W_11,e_3)
| ~ product(X_8175,e_5,e_6) ),
inference(resolution,[status(thm)],[c_665168,c_120]) ).
tff(c_703148,plain,
( equalish(e_3,e_6)
| ~ product(e_3,e_5,e_6) ),
inference(resolution,[status(thm)],[c_703115,c_665241]) ).
tff(c_703169,plain,
equalish(e_3,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_703023,c_703148]) ).
tff(c_703171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_703169]) ).
tff(c_703173,plain,
product(e_3,e_2,e_6),
inference(splitRight,[status(thm)],[c_665217]) ).
tff(c_703176,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_703173,c_641838]) ).
tff(c_703204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_703176]) ).
tff(c_703206,plain,
product(e_3,e_2,e_5),
inference(splitRight,[status(thm)],[c_663988]) ).
tff(c_703213,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_703206,c_641417]) ).
tff(c_703241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_703213]) ).
tff(c_703242,plain,
product(e_2,e_5,e_5),
inference(splitRight,[status(thm)],[c_641947]) ).
tff(c_703250,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_703242,c_641183]) ).
tff(c_703273,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_703250]) ).
tff(c_703274,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_641160]) ).
tff(c_703419,plain,
product(e_2,e_6,e_3),
inference(splitLeft,[status(thm)],[c_703274]) ).
tff(c_703425,plain,
( equalish(e_6,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_703419,c_312]) ).
tff(c_703445,plain,
( equalish(e_6,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_703425]) ).
tff(c_703447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_106,c_703445]) ).
tff(c_703448,plain,
product(e_2,e_6,e_4),
inference(splitRight,[status(thm)],[c_703274]) ).
tff(c_703570,plain,
! [X_8855] :
( product(X_8855,e_2,e_4)
| ~ product(X_8855,e_6,e_2) ),
inference(resolution,[status(thm)],[c_703448,c_124]) ).
tff(c_703574,plain,
product(e_6,e_2,e_4),
inference(resolution,[status(thm)],[c_628079,c_703570]) ).
tff(c_703749,plain,
! [X_8861] :
( product(X_8861,e_6,e_4)
| ~ product(X_8861,e_2,e_6) ),
inference(resolution,[status(thm)],[c_703574,c_124]) ).
tff(c_703979,plain,
! [X_8872,X_8873] :
( product(X_8872,X_8873,e_4)
| ~ product(X_8872,e_6,X_8873)
| ~ product(X_8873,e_2,e_6) ),
inference(resolution,[status(thm)],[c_703749,c_124]) ).
tff(c_704013,plain,
( product(e_2,e_4,e_4)
| ~ product(e_4,e_2,e_6) ),
inference(resolution,[status(thm)],[c_703448,c_703979]) ).
tff(c_704042,plain,
~ product(e_4,e_2,e_6),
inference(splitLeft,[status(thm)],[c_704013]) ).
tff(c_704045,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_704042]) ).
tff(c_704048,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_46,c_704045]) ).
tff(c_704058,plain,
product(e_4,e_2,e_1),
inference(splitLeft,[status(thm)],[c_704048]) ).
tff(c_704221,plain,
! [X_8878] :
( product(X_8878,e_4,e_1)
| ~ product(X_8878,e_2,e_4) ),
inference(resolution,[status(thm)],[c_704058,c_124]) ).
tff(c_704104,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_4,W_11,e_1) ),
inference(resolution,[status(thm)],[c_704058,c_120]) ).
tff(c_704225,plain,
( equalish(e_4,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c_704221,c_704104]) ).
tff(c_704249,plain,
~ product(e_4,e_2,e_4),
inference(negUnitSimplification,[status(thm)],[c_88,c_704225]) ).
tff(c_704234,plain,
( equalish(e_4,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[c_704221,c_2267]) ).
tff(c_704258,plain,
~ product(e_1,e_2,e_4),
inference(negUnitSimplification,[status(thm)],[c_86,c_704234]) ).
tff(c_704313,plain,
! [W_8884,X_8885] :
( equalish(W_8884,e_1)
| ~ product(X_8885,e_4,W_8884)
| ~ product(X_8885,e_2,e_4) ),
inference(resolution,[status(thm)],[c_704221,c_118]) ).
tff(c_704328,plain,
( equalish(e_5,e_1)
| ~ product(e_6,e_2,e_4)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_461971,c_704313]) ).
tff(c_704361,plain,
( equalish(e_5,e_1)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_703574,c_704328]) ).
tff(c_704362,plain,
( product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_704361]) ).
tff(c_704441,plain,
product(e_6,e_4,e_1),
inference(splitLeft,[status(thm)],[c_704362]) ).
tff(c_704633,plain,
! [X_8893] :
( product(X_8893,e_6,e_1)
| ~ product(X_8893,e_4,e_6) ),
inference(resolution,[status(thm)],[c_704441,c_124]) ).
tff(c_703802,plain,
! [X_18,X_8861] :
( product(X_18,X_8861,e_4)
| ~ product(X_18,e_6,X_8861)
| ~ product(X_8861,e_2,e_6) ),
inference(resolution,[status(thm)],[c_703749,c_124]) ).
tff(c_704693,plain,
! [X_8893] :
( product(X_8893,e_1,e_4)
| ~ product(e_1,e_2,e_6)
| ~ product(X_8893,e_4,e_6) ),
inference(resolution,[status(thm)],[c_704633,c_703802]) ).
tff(c_704979,plain,
~ product(e_1,e_2,e_6),
inference(splitLeft,[status(thm)],[c_704693]) ).
tff(c_704982,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_704979]) ).
tff(c_704985,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_704982]) ).
tff(c_704986,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_704258,c_704985]) ).
tff(c_704987,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_704986]) ).
tff(c_704105,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_704058,c_122]) ).
tff(c_704994,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_704987,c_704105]) ).
tff(c_705027,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_704994]) ).
tff(c_705028,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_704986]) ).
tff(c_705030,plain,
product(e_1,e_2,e_5),
inference(splitLeft,[status(thm)],[c_705028]) ).
tff(c_705261,plain,
! [X_8909] :
( product(X_8909,e_1,e_5)
| ~ product(X_8909,e_2,e_1) ),
inference(resolution,[status(thm)],[c_705030,c_124]) ).
tff(c_705265,plain,
product(e_4,e_1,e_5),
inference(resolution,[status(thm)],[c_704058,c_705261]) ).
tff(c_705370,plain,
! [W_8910] :
( equalish(W_8910,e_1)
| ~ product(e_4,W_8910,e_5) ),
inference(resolution,[status(thm)],[c_705265,c_120]) ).
tff(c_705381,plain,
( equalish(e_6,e_1)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_628324,c_705370]) ).
tff(c_705413,plain,
( equalish(e_6,e_1)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_705381]) ).
tff(c_705414,plain,
( product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_705413]) ).
tff(c_706393,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_705414]) ).
tff(c_706410,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_706393,c_704104]) ).
tff(c_706445,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_706410]) ).
tff(c_706446,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_705414]) ).
tff(c_707110,plain,
product(e_4,e_6,e_4),
inference(splitLeft,[status(thm)],[c_706446]) ).
tff(c_703477,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_6,e_4) ),
inference(resolution,[status(thm)],[c_703448,c_122]) ).
tff(c_707130,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_707110,c_703477]) ).
tff(c_707160,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_707130]) ).
tff(c_707161,plain,
( product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_706446]) ).
tff(c_707238,plain,
product(e_4,e_6,e_2),
inference(splitLeft,[status(thm)],[c_707161]) ).
tff(c_703475,plain,
! [X_18] :
( product(X_18,e_2,e_4)
| ~ product(X_18,e_6,e_2) ),
inference(resolution,[status(thm)],[c_703448,c_124]) ).
tff(c_707256,plain,
product(e_4,e_2,e_4),
inference(resolution,[status(thm)],[c_707238,c_703475]) ).
tff(c_707290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_704249,c_707256]) ).
tff(c_707291,plain,
product(e_4,e_6,e_3),
inference(splitRight,[status(thm)],[c_707161]) ).
tff(c_705072,plain,
! [W_8906] :
( equalish(W_8906,e_2)
| ~ product(e_1,W_8906,e_5) ),
inference(resolution,[status(thm)],[c_705030,c_120]) ).
tff(c_705083,plain,
( equalish(e_6,e_2)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_628324,c_705072]) ).
tff(c_705115,plain,
( equalish(e_6,e_2)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_705083]) ).
tff(c_705116,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_705115]) ).
tff(c_705925,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_705116]) ).
tff(c_705949,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_705925,c_2267]) ).
tff(c_705986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_705949]) ).
tff(c_705987,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_705116]) ).
tff(c_705993,plain,
product(e_1,e_6,e_4),
inference(splitLeft,[status(thm)],[c_705987]) ).
tff(c_706010,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_705993,c_703477]) ).
tff(c_706037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_706010]) ).
tff(c_706038,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_705987]) ).
tff(c_706044,plain,
product(e_1,e_6,e_2),
inference(splitLeft,[status(thm)],[c_706038]) ).
tff(c_706057,plain,
product(e_1,e_2,e_4),
inference(resolution,[status(thm)],[c_706044,c_703475]) ).
tff(c_706087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_704258,c_706057]) ).
tff(c_706088,plain,
product(e_1,e_6,e_3),
inference(splitRight,[status(thm)],[c_706038]) ).
tff(c_706252,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_6,e_3) ),
inference(resolution,[status(thm)],[c_706088,c_122]) ).
tff(c_707304,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_707291,c_706252]) ).
tff(c_707340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_707304]) ).
tff(c_707341,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_705028]) ).
tff(c_707385,plain,
product(e_1,e_2,e_2),
inference(splitLeft,[status(thm)],[c_707341]) ).
tff(c_707519,plain,
! [X_8949] :
( product(X_8949,e_1,e_2)
| ~ product(X_8949,e_2,e_1) ),
inference(resolution,[status(thm)],[c_707385,c_124]) ).
tff(c_707523,plain,
product(e_4,e_1,e_2),
inference(resolution,[status(thm)],[c_704058,c_707519]) ).
tff(c_707548,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_707523,c_311]) ).
tff(c_707603,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_707548]) ).
tff(c_707604,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_707603]) ).
tff(c_704106,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_4,e_2,W_8) ),
inference(resolution,[status(thm)],[c_704058,c_118]) ).
tff(c_707620,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_707604,c_704106]) ).
tff(c_707647,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_707620]) ).
tff(c_707648,plain,
product(e_1,e_2,e_3),
inference(splitRight,[status(thm)],[c_707341]) ).
tff(c_707885,plain,
! [X_8955] :
( product(X_8955,e_1,e_3)
| ~ product(X_8955,e_2,e_1) ),
inference(resolution,[status(thm)],[c_707648,c_124]) ).
tff(c_707889,plain,
product(e_4,e_1,e_3),
inference(resolution,[status(thm)],[c_704058,c_707885]) ).
tff(c_707991,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_707889,c_124]) ).
tff(c_708153,plain,
! [X_8959] :
( product(X_8959,e_4,e_3)
| ~ product(X_8959,e_1,e_4) ),
inference(resolution,[status(thm)],[c_707889,c_124]) ).
tff(c_708669,plain,
! [X_8973,X_8974] :
( product(X_8973,X_8974,e_3)
| ~ product(X_8973,e_4,X_8974)
| ~ product(X_8974,e_1,e_4) ),
inference(resolution,[status(thm)],[c_708153,c_124]) ).
tff(c_708700,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_707991,c_708669]) ).
tff(c_708728,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_708700]) ).
tff(c_708750,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_708728]) ).
tff(c_708753,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_708750]) ).
tff(c_708761,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_708753]) ).
tff(c_708792,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_708761,c_2268]) ).
tff(c_708852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_708792]) ).
tff(c_708853,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_708753]) ).
tff(c_708879,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_708853]) ).
tff(c_707994,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_707889,c_122]) ).
tff(c_708884,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_708879,c_707994]) ).
tff(c_708937,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_708884]) ).
tff(c_708938,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_708853]) ).
tff(c_708973,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_708938,c_311]) ).
tff(c_709034,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_708973]) ).
tff(c_709035,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_709034]) ).
tff(c_707783,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_2,e_3) ),
inference(resolution,[status(thm)],[c_707648,c_122]) ).
tff(c_709053,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_709035,c_707783]) ).
tff(c_709082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_709053]) ).
tff(c_709084,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_708700]) ).
tff(c_709365,plain,
! [X_8981] :
( product(X_8981,e_3,e_4)
| ~ product(X_8981,e_1,e_3) ),
inference(resolution,[status(thm)],[c_709084,c_124]) ).
tff(c_703476,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_4) ),
inference(resolution,[status(thm)],[c_703448,c_120]) ).
tff(c_709379,plain,
( equalish(e_3,e_6)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_709365,c_703476]) ).
tff(c_709405,plain,
~ product(e_2,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_84,c_709379]) ).
tff(c_709434,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_709405]) ).
tff(c_709437,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_709434]) ).
tff(c_709439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_709437]) ).
tff(c_709441,plain,
product(e_1,e_2,e_6),
inference(splitRight,[status(thm)],[c_704693]) ).
tff(c_703918,plain,
! [W_8867,X_8868] :
( equalish(W_8867,X_8868)
| ~ product(W_8867,e_6,e_4)
| ~ product(X_8868,e_2,e_6) ),
inference(resolution,[status(thm)],[c_703749,c_122]) ).
tff(c_703924,plain,
! [X_8868] :
( equalish(e_2,X_8868)
| ~ product(X_8868,e_2,e_6) ),
inference(resolution,[status(thm)],[c_703448,c_703918]) ).
tff(c_709447,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_709441,c_703924]) ).
tff(c_709478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_709447]) ).
tff(c_709479,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_704048]) ).
tff(c_709481,plain,
product(e_4,e_2,e_5),
inference(splitLeft,[status(thm)],[c_709479]) ).
tff(c_709483,plain,
( equalish(e_2,e_1)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_709481,c_1940]) ).
tff(c_709503,plain,
( equalish(e_2,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_709483]) ).
tff(c_709504,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_709503]) ).
tff(c_709953,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_709504]) ).
tff(c_709978,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_709953,c_2268]) ).
tff(c_710029,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_709978]) ).
tff(c_710031,plain,
~ product(e_4,e_1,e_1),
inference(splitRight,[status(thm)],[c_709504]) ).
tff(c_710030,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_709504]) ).
tff(c_710056,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_710030]) ).
tff(c_710569,plain,
! [X_8997] :
( product(X_8997,e_4,e_4)
| ~ product(X_8997,e_1,e_4) ),
inference(resolution,[status(thm)],[c_710056,c_124]) ).
tff(c_710400,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_710056,c_120]) ).
tff(c_710573,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_710569,c_710400]) ).
tff(c_710605,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_710056,c_710573]) ).
tff(c_710607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_710605]) ).
tff(c_710608,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_710030]) ).
tff(c_710617,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_710608]) ).
tff(c_710642,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_710617,c_311]) ).
tff(c_710701,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_710642]) ).
tff(c_710702,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_710701]) ).
tff(c_709522,plain,
! [W_8] :
( equalish(W_8,e_5)
| ~ product(e_4,e_2,W_8) ),
inference(resolution,[status(thm)],[c_709481,c_118]) ).
tff(c_710718,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_710702,c_709522]) ).
tff(c_710745,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_710718]) ).
tff(c_710747,plain,
~ product(e_4,e_1,e_2),
inference(splitRight,[status(thm)],[c_710608]) ).
tff(c_710609,plain,
~ product(e_4,e_1,e_4),
inference(splitRight,[status(thm)],[c_710030]) ).
tff(c_709523,plain,
! [W_8982] :
( equalish(W_8982,e_2)
| ~ product(e_4,W_8982,e_5) ),
inference(resolution,[status(thm)],[c_709481,c_120]) ).
tff(c_709558,plain,
( equalish(e_1,e_2)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_236,c_709523]) ).
tff(c_709585,plain,
( equalish(e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_709558]) ).
tff(c_709586,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_56,c_709585]) ).
tff(c_710755,plain,
product(e_4,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_710031,c_710747,c_710609,c_709586]) ).
tff(c_710853,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_710755,c_124]) ).
tff(c_711018,plain,
! [X_9001] :
( product(X_9001,e_4,e_3)
| ~ product(X_9001,e_1,e_4) ),
inference(resolution,[status(thm)],[c_710755,c_124]) ).
tff(c_711175,plain,
! [X_9009,X_9010] :
( product(X_9009,X_9010,e_3)
| ~ product(X_9009,e_4,X_9010)
| ~ product(X_9010,e_1,e_4) ),
inference(resolution,[status(thm)],[c_711018,c_124]) ).
tff(c_711204,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_710853,c_711175]) ).
tff(c_711230,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_711204]) ).
tff(c_711233,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_711230]) ).
tff(c_711236,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_711233]) ).
tff(c_712011,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_711236]) ).
tff(c_712040,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_712011,c_2268]) ).
tff(c_712098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_712040]) ).
tff(c_712099,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_711236]) ).
tff(c_712125,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_712099]) ).
tff(c_710856,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_710755,c_122]) ).
tff(c_712132,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_712125,c_710856]) ).
tff(c_712187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_712132]) ).
tff(c_712188,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_712099]) ).
tff(c_712223,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_712188,c_311]) ).
tff(c_712284,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_712223]) ).
tff(c_712285,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_712284]) ).
tff(c_712661,plain,
! [X_9041] :
( product(X_9041,e_3,e_3)
| ~ product(X_9041,e_2,e_3) ),
inference(resolution,[status(thm)],[c_712285,c_124]) ).
tff(c_712352,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_712285,c_120]) ).
tff(c_712665,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_712661,c_712352]) ).
tff(c_712690,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_712285,c_712665]) ).
tff(c_712692,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_712690]) ).
tff(c_712964,plain,
! [X_9045] :
( product(X_9045,e_3,e_3)
| ~ product(X_9045,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_711204]) ).
tff(c_711062,plain,
! [W_11,X_9001] :
( equalish(W_11,e_4)
| ~ product(X_9001,W_11,e_3)
| ~ product(X_9001,e_1,e_4) ),
inference(resolution,[status(thm)],[c_711018,c_120]) ).
tff(c_712966,plain,
! [X_9045] :
( equalish(e_3,e_4)
| ~ product(X_9045,e_1,e_4) ),
inference(resolution,[status(thm)],[c_712964,c_711062]) ).
tff(c_712989,plain,
! [X_9045] : ~ product(X_9045,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_80,c_712966]) ).
tff(c_712694,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_711204]) ).
tff(c_713012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_712989,c_712694]) ).
tff(c_713013,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_709479]) ).
tff(c_713057,plain,
product(e_4,e_2,e_2),
inference(splitLeft,[status(thm)],[c_713013]) ).
tff(c_713191,plain,
! [X_9049] :
( product(X_9049,e_4,e_2)
| ~ product(X_9049,e_2,e_4) ),
inference(resolution,[status(thm)],[c_713057,c_124]) ).
tff(c_713199,plain,
( equalish(e_4,e_6)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_713191,c_628106]) ).
tff(c_713219,plain,
equalish(e_4,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_703574,c_713199]) ).
tff(c_713221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_713219]) ).
tff(c_713222,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_713013]) ).
tff(c_713224,plain,
product(e_4,e_2,e_4),
inference(splitLeft,[status(thm)],[c_713222]) ).
tff(c_703614,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_4) ),
inference(resolution,[status(thm)],[c_703574,c_122]) ).
tff(c_713229,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_713224,c_703614]) ).
tff(c_713254,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_713229]) ).
tff(c_713255,plain,
product(e_4,e_2,e_3),
inference(splitRight,[status(thm)],[c_713222]) ).
tff(c_713405,plain,
! [X_9053] :
( product(X_9053,e_4,e_3)
| ~ product(X_9053,e_2,e_4) ),
inference(resolution,[status(thm)],[c_713255,c_124]) ).
tff(c_713465,plain,
! [W_9056,X_9057] :
( equalish(W_9056,e_3)
| ~ product(X_9057,e_4,W_9056)
| ~ product(X_9057,e_2,e_4) ),
inference(resolution,[status(thm)],[c_713405,c_118]) ).
tff(c_713480,plain,
( equalish(e_5,e_3)
| ~ product(e_6,e_2,e_4)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_461971,c_713465]) ).
tff(c_713513,plain,
( equalish(e_5,e_3)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_703574,c_713480]) ).
tff(c_713514,plain,
( product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_100,c_713513]) ).
tff(c_714339,plain,
product(e_6,e_4,e_1),
inference(splitLeft,[status(thm)],[c_713514]) ).
tff(c_713444,plain,
! [W_8,X_9053] :
( equalish(W_8,e_3)
| ~ product(X_9053,e_4,W_8)
| ~ product(X_9053,e_2,e_4) ),
inference(resolution,[status(thm)],[c_713405,c_118]) ).
tff(c_714350,plain,
( equalish(e_1,e_3)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_714339,c_713444]) ).
tff(c_714379,plain,
equalish(e_1,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_703574,c_714350]) ).
tff(c_714381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_714379]) ).
tff(c_714382,plain,
( product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_713514]) ).
tff(c_714384,plain,
product(e_6,e_4,e_4),
inference(splitLeft,[status(thm)],[c_714382]) ).
tff(c_714389,plain,
( equalish(e_4,e_3)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_714384,c_713444]) ).
tff(c_714412,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_703574,c_714389]) ).
tff(c_714414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_714412]) ).
tff(c_714415,plain,
( product(e_6,e_4,e_3)
| product(e_6,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_714382]) ).
tff(c_714512,plain,
product(e_6,e_4,e_2),
inference(splitLeft,[status(thm)],[c_714415]) ).
tff(c_714517,plain,
( equalish(e_2,e_3)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_714512,c_713444]) ).
tff(c_714538,plain,
equalish(e_2,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_703574,c_714517]) ).
tff(c_714540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_714538]) ).
tff(c_714541,plain,
product(e_6,e_4,e_3),
inference(splitRight,[status(thm)],[c_714415]) ).
tff(c_714591,plain,
! [X_18] :
( product(X_18,e_6,e_3)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_714541,c_124]) ).
tff(c_714717,plain,
! [X_9089] :
( product(X_9089,e_6,e_3)
| ~ product(X_9089,e_4,e_6) ),
inference(resolution,[status(thm)],[c_714541,c_124]) ).
tff(c_714953,plain,
! [X_9098,X_9099] :
( product(X_9098,X_9099,e_3)
| ~ product(X_9098,e_6,X_9099)
| ~ product(X_9099,e_4,e_6) ),
inference(resolution,[status(thm)],[c_714717,c_124]) ).
tff(c_714988,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_4,e_6)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_714591,c_714953]) ).
tff(c_715034,plain,
~ product(e_3,e_4,e_6),
inference(splitLeft,[status(thm)],[c_714988]) ).
tff(c_715037,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_715034]) ).
tff(c_715040,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_50,c_715037]) ).
tff(c_736629,plain,
product(e_3,e_4,e_1),
inference(splitLeft,[status(thm)],[c_715040]) ).
tff(c_703449,plain,
~ product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_703274]) ).
tff(c_714776,plain,
~ product(e_2,e_4,e_6),
inference(resolution,[status(thm)],[c_714717,c_703449]) ).
tff(c_714806,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_714776]) ).
tff(c_714809,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_714806]) ).
tff(c_735007,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_714809]) ).
tff(c_735052,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_735007,c_122]) ).
tff(c_736632,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_736629,c_735052]) ).
tff(c_736659,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_736632]) ).
tff(c_736660,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_715040]) ).
tff(c_736662,plain,
product(e_3,e_4,e_5),
inference(splitLeft,[status(thm)],[c_736660]) ).
tff(c_736982,plain,
! [X_9500] :
( product(X_9500,e_3,e_5)
| ~ product(X_9500,e_4,e_3) ),
inference(resolution,[status(thm)],[c_736662,c_124]) ).
tff(c_736989,plain,
product(e_6,e_3,e_5),
inference(resolution,[status(thm)],[c_714541,c_736982]) ).
tff(c_713301,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_713255,c_124]) ).
tff(c_713539,plain,
! [X_9060,X_9061] :
( product(X_9060,X_9061,e_3)
| ~ product(X_9060,e_4,X_9061)
| ~ product(X_9061,e_2,e_4) ),
inference(resolution,[status(thm)],[c_713405,c_124]) ).
tff(c_713566,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_713301,c_713539]) ).
tff(c_713829,plain,
~ product(e_3,e_2,e_4),
inference(splitLeft,[status(thm)],[c_713566]) ).
tff(c_730155,plain,
product(e_3,e_4,e_1),
inference(splitLeft,[status(thm)],[c_715040]) ).
tff(c_722812,plain,
product(e_3,e_4,e_1),
inference(splitLeft,[status(thm)],[c_715040]) ).
tff(c_714769,plain,
! [X_9089] :
( product(X_9089,e_3,e_4)
| ~ product(e_3,e_2,e_6)
| ~ product(X_9089,e_4,e_6) ),
inference(resolution,[status(thm)],[c_714717,c_703802]) ).
tff(c_715018,plain,
~ product(e_3,e_2,e_6),
inference(splitLeft,[status(thm)],[c_714769]) ).
tff(c_715029,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_715018]) ).
tff(c_715032,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_46,c_715029]) ).
tff(c_715033,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_713829,c_715032]) ).
tff(c_715186,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_715033]) ).
tff(c_715246,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_1) ),
inference(resolution,[status(thm)],[c_715186,c_120]) ).
tff(c_722817,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_722812,c_715246]) ).
tff(c_722851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_722817]) ).
tff(c_722852,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_715040]) ).
tff(c_722854,plain,
product(e_3,e_4,e_5),
inference(splitLeft,[status(thm)],[c_722852]) ).
tff(c_720318,plain,
product(e_3,e_4,e_1),
inference(splitLeft,[status(thm)],[c_715040]) ).
tff(c_715815,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_714809]) ).
tff(c_715878,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_715815,c_122]) ).
tff(c_720321,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_720318,c_715878]) ).
tff(c_720358,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_720321]) ).
tff(c_720359,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_715040]) ).
tff(c_720362,plain,
product(e_3,e_4,e_5),
inference(splitLeft,[status(thm)],[c_720359]) ).
tff(c_720400,plain,
! [W_9223] :
( equalish(W_9223,e_4)
| ~ product(e_3,W_9223,e_5) ),
inference(resolution,[status(thm)],[c_720362,c_120]) ).
tff(c_720411,plain,
( equalish(e_6,e_4)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_628324,c_720400]) ).
tff(c_720443,plain,
( equalish(e_6,e_4)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_720411]) ).
tff(c_720444,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_720443]) ).
tff(c_720596,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_720444]) ).
tff(c_720601,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_720596,c_715246]) ).
tff(c_720640,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_720601]) ).
tff(c_720641,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_720444]) ).
tff(c_721440,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_720641]) ).
tff(c_721460,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_721440,c_703477]) ).
tff(c_721489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_721460]) ).
tff(c_721490,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_720641]) ).
tff(c_721496,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_721490]) ).
tff(c_721512,plain,
product(e_3,e_2,e_4),
inference(resolution,[status(thm)],[c_721496,c_703475]) ).
tff(c_721544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_713829,c_721512]) ).
tff(c_721545,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_721490]) ).
tff(c_721821,plain,
! [X_9255] :
( product(X_9255,e_3,e_3)
| ~ product(X_9255,e_6,e_3) ),
inference(resolution,[status(thm)],[c_721545,c_124]) ).
tff(c_721828,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_721545,c_721821]) ).
tff(c_721670,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_721545,c_120]) ).
tff(c_721832,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_721828,c_721670]) ).
tff(c_721866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_721832]) ).
tff(c_721867,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_720359]) ).
tff(c_721911,plain,
product(e_3,e_4,e_2),
inference(splitLeft,[status(thm)],[c_721867]) ).
tff(c_722044,plain,
! [X_9259] :
( product(X_9259,e_3,e_2)
| ~ product(X_9259,e_4,e_3) ),
inference(resolution,[status(thm)],[c_721911,c_124]) ).
tff(c_722051,plain,
product(e_6,e_3,e_2),
inference(resolution,[status(thm)],[c_714541,c_722044]) ).
tff(c_722060,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_722051,c_628106]) ).
tff(c_722082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_722060]) ).
tff(c_722083,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_721867]) ).
tff(c_722187,plain,
product(e_3,e_4,e_4),
inference(splitLeft,[status(thm)],[c_722083]) ).
tff(c_709480,plain,
~ product(e_4,e_2,e_1),
inference(splitRight,[status(thm)],[c_704048]) ).
tff(c_713302,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_4,W_11,e_3) ),
inference(resolution,[status(thm)],[c_713255,c_120]) ).
tff(c_714727,plain,
( equalish(e_6,e_2)
| ~ product(e_4,e_4,e_6) ),
inference(resolution,[status(thm)],[c_714717,c_713302]) ).
tff(c_714768,plain,
~ product(e_4,e_4,e_6),
inference(negUnitSimplification,[status(thm)],[c_108,c_714727]) ).
tff(c_714812,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_714768]) ).
tff(c_714815,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_714812]) ).
tff(c_716023,plain,
product(e_4,e_4,e_1),
inference(splitLeft,[status(thm)],[c_714815]) ).
tff(c_716026,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_716023,c_715878]) ).
tff(c_716060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_716026]) ).
tff(c_716061,plain,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_714815]) ).
tff(c_716072,plain,
product(e_4,e_4,e_5),
inference(splitLeft,[status(thm)],[c_716061]) ).
tff(c_716079,plain,
( equalish(e_4,e_1)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_716072,c_1940]) ).
tff(c_716097,plain,
( equalish(e_4,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_716079]) ).
tff(c_716098,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_86,c_716097]) ).
tff(c_716594,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_716098]) ).
tff(c_715379,plain,
! [X_9115] :
( product(X_9115,e_3,e_1)
| ~ product(X_9115,e_2,e_3) ),
inference(resolution,[status(thm)],[c_715186,c_124]) ).
tff(c_715436,plain,
! [W_11,X_9115] :
( equalish(W_11,e_3)
| ~ product(X_9115,W_11,e_1)
| ~ product(X_9115,e_2,e_3) ),
inference(resolution,[status(thm)],[c_715379,c_120]) ).
tff(c_716598,plain,
( equalish(e_1,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[c_716594,c_715436]) ).
tff(c_716671,plain,
equalish(e_1,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_713255,c_716598]) ).
tff(c_716673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_716671]) ).
tff(c_716675,plain,
~ product(e_4,e_1,e_1),
inference(splitRight,[status(thm)],[c_716098]) ).
tff(c_716110,plain,
! [W_9152] :
( equalish(W_9152,e_4)
| ~ product(e_4,W_9152,e_5) ),
inference(resolution,[status(thm)],[c_716072,c_120]) ).
tff(c_716145,plain,
( equalish(e_1,e_4)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_236,c_716110]) ).
tff(c_716172,plain,
( equalish(e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_716145]) ).
tff(c_716173,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_60,c_716172]) ).
tff(c_716715,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_716675,c_716173]) ).
tff(c_716716,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_716715]) ).
tff(c_716121,plain,
( equalish(e_6,e_4)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_628324,c_716110]) ).
tff(c_716153,plain,
( equalish(e_6,e_4)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_716121]) ).
tff(c_716154,plain,
( product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_716153]) ).
tff(c_719271,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_716154]) ).
tff(c_719275,plain,
( equalish(e_6,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[c_719271,c_715436]) ).
tff(c_719313,plain,
equalish(e_6,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_713255,c_719275]) ).
tff(c_719315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_719313]) ).
tff(c_719316,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_716154]) ).
tff(c_719318,plain,
product(e_4,e_6,e_4),
inference(splitLeft,[status(thm)],[c_719316]) ).
tff(c_719335,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_719318,c_703477]) ).
tff(c_719362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_719335]) ).
tff(c_719363,plain,
( product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_719316]) ).
tff(c_719400,plain,
product(e_4,e_6,e_2),
inference(splitLeft,[status(thm)],[c_719363]) ).
tff(c_716850,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_2) ),
inference(resolution,[status(thm)],[c_716716,c_120]) ).
tff(c_719405,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_719400,c_716850]) ).
tff(c_719441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_719405]) ).
tff(c_719442,plain,
product(e_4,e_6,e_3),
inference(splitRight,[status(thm)],[c_719363]) ).
tff(c_717019,plain,
! [X_9170] :
( product(X_9170,e_4,e_2)
| ~ product(X_9170,e_1,e_4) ),
inference(resolution,[status(thm)],[c_716716,c_124]) ).
tff(c_715879,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_2,e_4,W_8) ),
inference(resolution,[status(thm)],[c_715815,c_118]) ).
tff(c_717038,plain,
( equalish(e_2,e_1)
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[c_717019,c_715879]) ).
tff(c_717082,plain,
~ product(e_2,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_66,c_717038]) ).
tff(c_716753,plain,
( product(e_4,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_716716,c_219]) ).
tff(c_716834,plain,
( product(e_4,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_716753]) ).
tff(c_716835,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_704042,c_716834]) ).
tff(c_717610,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_717082,c_716835]) ).
tff(c_717611,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_717610]) ).
tff(c_718013,plain,
! [X_9196] :
( product(X_9196,e_2,e_3)
| ~ product(X_9196,e_1,e_2) ),
inference(resolution,[status(thm)],[c_717611,c_124]) ).
tff(c_718151,plain,
! [W_11,X_9196] :
( equalish(W_11,e_2)
| ~ product(X_9196,W_11,e_3)
| ~ product(X_9196,e_1,e_2) ),
inference(resolution,[status(thm)],[c_718013,c_120]) ).
tff(c_719541,plain,
( equalish(e_6,e_2)
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c_719442,c_718151]) ).
tff(c_719579,plain,
equalish(e_6,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_716716,c_719541]) ).
tff(c_719581,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_719579]) ).
tff(c_719583,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_717610]) ).
tff(c_719586,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_719583]) ).
tff(c_719589,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_719586]) ).
tff(c_719591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_719589]) ).
tff(c_719592,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_716715]) ).
tff(c_719601,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_719592]) ).
tff(c_719922,plain,
! [X_9219] :
( product(X_9219,e_4,e_4)
| ~ product(X_9219,e_1,e_4) ),
inference(resolution,[status(thm)],[c_719601,c_124]) ).
tff(c_719745,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_719601,c_120]) ).
tff(c_719926,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_719922,c_719745]) ).
tff(c_719998,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_719601,c_719926]) ).
tff(c_720000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_719998]) ).
tff(c_720001,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_719592]) ).
tff(c_720030,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_720001,c_713302]) ).
tff(c_720106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_720030]) ).
tff(c_720107,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_716061]) ).
tff(c_720151,plain,
product(e_4,e_4,e_2),
inference(splitLeft,[status(thm)],[c_720107]) ).
tff(c_715876,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_4,e_2) ),
inference(resolution,[status(thm)],[c_715815,c_124]) ).
tff(c_720154,plain,
product(e_4,e_2,e_1),
inference(resolution,[status(thm)],[c_720151,c_715876]) ).
tff(c_720177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_709480,c_720154]) ).
tff(c_720178,plain,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_720107]) ).
tff(c_720180,plain,
product(e_4,e_4,e_4),
inference(splitLeft,[status(thm)],[c_720178]) ).
tff(c_720221,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_4,e_4) ),
inference(resolution,[status(thm)],[c_720180,c_122]) ).
tff(c_722190,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_722187,c_720221]) ).
tff(c_722215,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_722190]) ).
tff(c_722216,plain,
product(e_3,e_4,e_3),
inference(splitRight,[status(thm)],[c_722083]) ).
tff(c_714593,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_3) ),
inference(resolution,[status(thm)],[c_714541,c_122]) ).
tff(c_722222,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_722216,c_714593]) ).
tff(c_722253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_722222]) ).
tff(c_722254,plain,
product(e_4,e_4,e_3),
inference(splitRight,[status(thm)],[c_720178]) ).
tff(c_722260,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_722254,c_714593]) ).
tff(c_722294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_722260]) ).
tff(c_722295,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_714809]) ).
tff(c_722297,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_722295]) ).
tff(c_722343,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_5) ),
inference(resolution,[status(thm)],[c_722297,c_122]) ).
tff(c_722857,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_722854,c_722343]) ).
tff(c_722880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_722857]) ).
tff(c_722881,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_722852]) ).
tff(c_722925,plain,
product(e_3,e_4,e_2),
inference(splitLeft,[status(thm)],[c_722881]) ).
tff(c_722341,plain,
! [X_18] :
( product(X_18,e_2,e_5)
| ~ product(X_18,e_4,e_2) ),
inference(resolution,[status(thm)],[c_722297,c_124]) ).
tff(c_722948,plain,
product(e_3,e_2,e_5),
inference(resolution,[status(thm)],[c_722925,c_722341]) ).
tff(c_715248,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_3,e_2,W_8) ),
inference(resolution,[status(thm)],[c_715186,c_118]) ).
tff(c_722971,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_722948,c_715248]) ).
tff(c_722994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_722971]) ).
tff(c_722995,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_722881]) ).
tff(c_722997,plain,
product(e_3,e_4,e_4),
inference(splitLeft,[status(thm)],[c_722995]) ).
tff(c_713014,plain,
~ product(e_4,e_2,e_5),
inference(splitRight,[status(thm)],[c_709479]) ).
tff(c_722535,plain,
product(e_4,e_4,e_1),
inference(splitLeft,[status(thm)],[c_714815]) ).
tff(c_722537,plain,
( equalish(e_4,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[c_722535,c_715436]) ).
tff(c_722568,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_713255,c_722537]) ).
tff(c_722570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_722568]) ).
tff(c_722571,plain,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_714815]) ).
tff(c_722573,plain,
product(e_4,e_4,e_5),
inference(splitLeft,[status(thm)],[c_722571]) ).
tff(c_722576,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_722573,c_722343]) ).
tff(c_722599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_722576]) ).
tff(c_722600,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_722571]) ).
tff(c_722645,plain,
product(e_4,e_4,e_2),
inference(splitLeft,[status(thm)],[c_722600]) ).
tff(c_722648,plain,
product(e_4,e_2,e_5),
inference(resolution,[status(thm)],[c_722645,c_722341]) ).
tff(c_722671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_713014,c_722648]) ).
tff(c_722672,plain,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_722600]) ).
tff(c_722674,plain,
product(e_4,e_4,e_4),
inference(splitLeft,[status(thm)],[c_722672]) ).
tff(c_722715,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_4,e_4) ),
inference(resolution,[status(thm)],[c_722674,c_122]) ).
tff(c_723000,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_722997,c_722715]) ).
tff(c_723025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_723000]) ).
tff(c_723026,plain,
product(e_3,e_4,e_3),
inference(splitRight,[status(thm)],[c_722995]) ).
tff(c_723032,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_723026,c_714593]) ).
tff(c_723063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_723032]) ).
tff(c_723064,plain,
product(e_4,e_4,e_3),
inference(splitRight,[status(thm)],[c_722672]) ).
tff(c_723070,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_723064,c_714593]) ).
tff(c_723104,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_723070]) ).
tff(c_723105,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_722295]) ).
tff(c_723149,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_723105]) ).
tff(c_723277,plain,
! [X_9275] :
( product(X_9275,e_2,e_2)
| ~ product(X_9275,e_4,e_2) ),
inference(resolution,[status(thm)],[c_723149,c_124]) ).
tff(c_723281,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_723149,c_723277]) ).
tff(c_723186,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_723149,c_120]) ).
tff(c_723284,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_723281,c_723186]) ).
tff(c_723307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_723284]) ).
tff(c_723308,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_723105]) ).
tff(c_723310,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_723308]) ).
tff(c_723320,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_723310,c_703476]) ).
tff(c_723345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_723320]) ).
tff(c_723346,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_723308]) ).
tff(c_723352,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_723346,c_714593]) ).
tff(c_723383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_723352]) ).
tff(c_723384,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_715033]) ).
tff(c_723386,plain,
product(e_3,e_2,e_5),
inference(splitLeft,[status(thm)],[c_723384]) ).
tff(c_723428,plain,
! [W_9276] :
( equalish(W_9276,e_2)
| ~ product(e_3,W_9276,e_5) ),
inference(resolution,[status(thm)],[c_723386,c_120]) ).
tff(c_723439,plain,
( equalish(e_6,e_2)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_628324,c_723428]) ).
tff(c_723471,plain,
( equalish(e_6,e_2)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_723439]) ).
tff(c_723472,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_723471]) ).
tff(c_723868,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_723472]) ).
tff(c_723932,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_1) ),
inference(resolution,[status(thm)],[c_723868,c_120]) ).
tff(c_730307,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_730155,c_723932]) ).
tff(c_730339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_730307]) ).
tff(c_730340,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_715040]) ).
tff(c_730342,plain,
product(e_3,e_4,e_5),
inference(splitLeft,[status(thm)],[c_730340]) ).
tff(c_723385,plain,
~ product(e_3,e_2,e_1),
inference(splitRight,[status(thm)],[c_715033]) ).
tff(c_727766,plain,
product(e_3,e_4,e_1),
inference(splitLeft,[status(thm)],[c_715040]) ).
tff(c_727402,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_714809]) ).
tff(c_727460,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_727402,c_122]) ).
tff(c_727990,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_727766,c_727460]) ).
tff(c_728025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_727990]) ).
tff(c_728026,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_715040]) ).
tff(c_728028,plain,
product(e_3,e_4,e_5),
inference(splitLeft,[status(thm)],[c_728026]) ).
tff(c_723425,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_5) ),
inference(resolution,[status(thm)],[c_723386,c_120]) ).
tff(c_728033,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_728028,c_723425]) ).
tff(c_728058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_728033]) ).
tff(c_728059,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_728026]) ).
tff(c_728739,plain,
product(e_3,e_4,e_2),
inference(splitLeft,[status(thm)],[c_728059]) ).
tff(c_727458,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_4,e_2) ),
inference(resolution,[status(thm)],[c_727402,c_124]) ).
tff(c_728846,plain,
product(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c_728739,c_727458]) ).
tff(c_728869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_723385,c_728846]) ).
tff(c_728870,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_728059]) ).
tff(c_728872,plain,
product(e_3,e_4,e_4),
inference(splitLeft,[status(thm)],[c_728870]) ).
tff(c_724356,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_714809]) ).
tff(c_724167,plain,
product(e_4,e_4,e_1),
inference(splitLeft,[status(thm)],[c_714815]) ).
tff(c_724224,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_724167,c_122]) ).
tff(c_724359,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_724356,c_724224]) ).
tff(c_724391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_724359]) ).
tff(c_724393,plain,
~ product(e_2,e_4,e_1),
inference(splitRight,[status(thm)],[c_714809]) ).
tff(c_724747,plain,
product(e_3,e_4,e_1),
inference(splitLeft,[status(thm)],[c_715040]) ).
tff(c_724750,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_724747,c_724224]) ).
tff(c_724785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_724750]) ).
tff(c_724787,plain,
~ product(e_3,e_4,e_1),
inference(splitRight,[status(thm)],[c_715040]) ).
tff(c_724786,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_715040]) ).
tff(c_724788,plain,
product(e_3,e_4,e_5),
inference(splitLeft,[status(thm)],[c_724786]) ).
tff(c_724392,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_714809]) ).
tff(c_724394,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_724392]) ).
tff(c_724436,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_5) ),
inference(resolution,[status(thm)],[c_724394,c_122]) ).
tff(c_724887,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_724788,c_724436]) ).
tff(c_724915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_724887]) ).
tff(c_724916,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_724786]) ).
tff(c_724960,plain,
product(e_3,e_4,e_2),
inference(splitLeft,[status(thm)],[c_724916]) ).
tff(c_725093,plain,
! [X_9324] :
( product(X_9324,e_3,e_2)
| ~ product(X_9324,e_4,e_3) ),
inference(resolution,[status(thm)],[c_724960,c_124]) ).
tff(c_725100,plain,
product(e_6,e_3,e_2),
inference(resolution,[status(thm)],[c_714541,c_725093]) ).
tff(c_725205,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_725100,c_628106]) ).
tff(c_725227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_725205]) ).
tff(c_725228,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_724916]) ).
tff(c_725230,plain,
product(e_3,e_4,e_4),
inference(splitLeft,[status(thm)],[c_725228]) ).
tff(c_724222,plain,
! [X_18] :
( product(X_18,e_4,e_1)
| ~ product(X_18,e_4,e_4) ),
inference(resolution,[status(thm)],[c_724167,c_124]) ).
tff(c_725233,plain,
product(e_3,e_4,e_1),
inference(resolution,[status(thm)],[c_725230,c_724222]) ).
tff(c_725258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_724787,c_725233]) ).
tff(c_725259,plain,
product(e_3,e_4,e_3),
inference(splitRight,[status(thm)],[c_725228]) ).
tff(c_725265,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_725259,c_714593]) ).
tff(c_725296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_725265]) ).
tff(c_725297,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_724392]) ).
tff(c_725341,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_725297]) ).
tff(c_725670,plain,
! [X_9332] :
( product(X_9332,e_2,e_2)
| ~ product(X_9332,e_4,e_2) ),
inference(resolution,[status(thm)],[c_725341,c_124]) ).
tff(c_725674,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_725341,c_725670]) ).
tff(c_725474,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_725341,c_120]) ).
tff(c_725677,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_725674,c_725474]) ).
tff(c_725700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_725677]) ).
tff(c_725701,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_725297]) ).
tff(c_725799,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_725701]) ).
tff(c_725802,plain,
product(e_2,e_4,e_1),
inference(resolution,[status(thm)],[c_725799,c_724222]) ).
tff(c_725830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_724393,c_725802]) ).
tff(c_725831,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_725701]) ).
tff(c_725837,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_725831,c_714593]) ).
tff(c_725868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_725837]) ).
tff(c_725869,plain,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_714815]) ).
tff(c_725976,plain,
product(e_4,e_4,e_5),
inference(splitLeft,[status(thm)],[c_725869]) ).
tff(c_723617,plain,
! [X_9279] :
( product(X_9279,e_3,e_5)
| ~ product(X_9279,e_2,e_3) ),
inference(resolution,[status(thm)],[c_723386,c_124]) ).
tff(c_723650,plain,
! [W_11,X_9279] :
( equalish(W_11,e_3)
| ~ product(X_9279,W_11,e_5)
| ~ product(X_9279,e_2,e_3) ),
inference(resolution,[status(thm)],[c_723617,c_120]) ).
tff(c_725978,plain,
( equalish(e_4,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[c_725976,c_723650]) ).
tff(c_726000,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_713255,c_725978]) ).
tff(c_726002,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_726000]) ).
tff(c_726003,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_725869]) ).
tff(c_726047,plain,
product(e_4,e_4,e_2),
inference(splitLeft,[status(thm)],[c_726003]) ).
tff(c_726176,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_714809]) ).
tff(c_726364,plain,
! [X_9343] :
( product(X_9343,e_2,e_1)
| ~ product(X_9343,e_4,e_2) ),
inference(resolution,[status(thm)],[c_726176,c_124]) ).
tff(c_726367,plain,
product(e_4,e_2,e_1),
inference(resolution,[status(thm)],[c_726047,c_726364]) ).
tff(c_726371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_709480,c_726367]) ).
tff(c_726372,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_714809]) ).
tff(c_726374,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_726372]) ).
tff(c_726619,plain,
! [X_9347] :
( product(X_9347,e_2,e_5)
| ~ product(X_9347,e_4,e_2) ),
inference(resolution,[status(thm)],[c_726374,c_124]) ).
tff(c_726622,plain,
product(e_4,e_2,e_5),
inference(resolution,[status(thm)],[c_726047,c_726619]) ).
tff(c_726626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_713014,c_726622]) ).
tff(c_726627,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_726372]) ).
tff(c_726845,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_726627]) ).
tff(c_726085,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_4,e_2) ),
inference(resolution,[status(thm)],[c_726047,c_122]) ).
tff(c_726944,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_726845,c_726085]) ).
tff(c_726967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_726944]) ).
tff(c_726969,plain,
~ product(e_2,e_4,e_2),
inference(splitRight,[status(thm)],[c_726627]) ).
tff(c_726968,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_726627]) ).
tff(c_726970,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_726968]) ).
tff(c_726083,plain,
! [X_18] :
( product(X_18,e_4,e_2)
| ~ product(X_18,e_4,e_4) ),
inference(resolution,[status(thm)],[c_726047,c_124]) ).
tff(c_726973,plain,
product(e_2,e_4,e_2),
inference(resolution,[status(thm)],[c_726970,c_726083]) ).
tff(c_727001,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_726969,c_726973]) ).
tff(c_727002,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_726968]) ).
tff(c_727229,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_727002,c_714593]) ).
tff(c_727260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_727229]) ).
tff(c_727261,plain,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_726003]) ).
tff(c_727263,plain,
product(e_4,e_4,e_4),
inference(splitLeft,[status(thm)],[c_727261]) ).
tff(c_727304,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_4,e_4) ),
inference(resolution,[status(thm)],[c_727263,c_122]) ).
tff(c_728875,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_728872,c_727304]) ).
tff(c_728900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_728875]) ).
tff(c_728901,plain,
product(e_3,e_4,e_3),
inference(splitRight,[status(thm)],[c_728870]) ).
tff(c_729056,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_728901,c_714593]) ).
tff(c_729087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_729056]) ).
tff(c_729088,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_714809]) ).
tff(c_729090,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_729088]) ).
tff(c_729132,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_5) ),
inference(resolution,[status(thm)],[c_729090,c_122]) ).
tff(c_730345,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_730342,c_729132]) ).
tff(c_730373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_730345]) ).
tff(c_730374,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_730340]) ).
tff(c_733002,plain,
product(e_3,e_4,e_2),
inference(splitLeft,[status(thm)],[c_730374]) ).
tff(c_733135,plain,
! [X_9423] :
( product(X_9423,e_3,e_2)
| ~ product(X_9423,e_4,e_3) ),
inference(resolution,[status(thm)],[c_733002,c_124]) ).
tff(c_733142,plain,
product(e_6,e_3,e_2),
inference(resolution,[status(thm)],[c_714541,c_733135]) ).
tff(c_733151,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_733142,c_628106]) ).
tff(c_733173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_733151]) ).
tff(c_733174,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_730374]) ).
tff(c_733176,plain,
product(e_3,e_4,e_4),
inference(splitLeft,[status(thm)],[c_733174]) ).
tff(c_733179,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_733176,c_727304]) ).
tff(c_733204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_733179]) ).
tff(c_733205,plain,
product(e_3,e_4,e_3),
inference(splitRight,[status(thm)],[c_733174]) ).
tff(c_733213,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_733205,c_714593]) ).
tff(c_733246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_733213]) ).
tff(c_733247,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_729088]) ).
tff(c_733395,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_733247]) ).
tff(c_733523,plain,
! [X_9428] :
( product(X_9428,e_2,e_2)
| ~ product(X_9428,e_4,e_2) ),
inference(resolution,[status(thm)],[c_733395,c_124]) ).
tff(c_733527,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_733395,c_733523]) ).
tff(c_733432,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_733395,c_120]) ).
tff(c_733530,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_733527,c_733432]) ).
tff(c_733553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_733530]) ).
tff(c_733554,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_733247]) ).
tff(c_733599,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_733554]) ).
tff(c_733776,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_733599,c_727304]) ).
tff(c_733804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_733776]) ).
tff(c_733805,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_733554]) ).
tff(c_733811,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_733805,c_714593]) ).
tff(c_733842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_733811]) ).
tff(c_733843,plain,
product(e_4,e_4,e_3),
inference(splitRight,[status(thm)],[c_727261]) ).
tff(c_733849,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_733843,c_714593]) ).
tff(c_733883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_733849]) ).
tff(c_733884,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_723472]) ).
tff(c_733886,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_733884]) ).
tff(c_733903,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_733886,c_703477]) ).
tff(c_733930,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_733903]) ).
tff(c_733931,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_733884]) ).
tff(c_733937,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_733931]) ).
tff(c_733958,plain,
product(e_3,e_2,e_4),
inference(resolution,[status(thm)],[c_733937,c_703475]) ).
tff(c_733988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_713829,c_733958]) ).
tff(c_733989,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_733931]) ).
tff(c_734196,plain,
! [X_9435] :
( product(X_9435,e_3,e_3)
| ~ product(X_9435,e_6,e_3) ),
inference(resolution,[status(thm)],[c_733989,c_124]) ).
tff(c_734203,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_733989,c_734196]) ).
tff(c_734051,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_733989,c_120]) ).
tff(c_734207,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_734203,c_734051]) ).
tff(c_734236,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_734207]) ).
tff(c_734237,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_723384]) ).
tff(c_734281,plain,
product(e_3,e_2,e_2),
inference(splitLeft,[status(thm)],[c_734237]) ).
tff(c_734415,plain,
! [X_9439] :
( product(X_9439,e_3,e_2)
| ~ product(X_9439,e_2,e_3) ),
inference(resolution,[status(thm)],[c_734281,c_124]) ).
tff(c_734454,plain,
! [X_18,X_9439] :
( product(X_18,X_9439,e_2)
| ~ product(X_18,e_3,X_9439)
| ~ product(X_9439,e_2,e_3) ),
inference(resolution,[status(thm)],[c_734415,c_124]) ).
tff(c_737010,plain,
( product(e_6,e_5,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[c_736989,c_734454]) ).
tff(c_742321,plain,
~ product(e_5,e_2,e_3),
inference(splitLeft,[status(thm)],[c_737010]) ).
tff(c_713441,plain,
! [X_18,X_9053] :
( product(X_18,X_9053,e_3)
| ~ product(X_18,e_4,X_9053)
| ~ product(X_9053,e_2,e_4) ),
inference(resolution,[status(thm)],[c_713405,c_124]) ).
tff(c_736682,plain,
( product(e_3,e_5,e_3)
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[c_736662,c_713441]) ).
tff(c_737757,plain,
~ product(e_5,e_2,e_4),
inference(splitLeft,[status(thm)],[c_736682]) ).
tff(c_737820,plain,
! [X_9511] :
( product(X_9511,e_6,e_5)
| ~ product(X_9511,e_3,e_6) ),
inference(resolution,[status(thm)],[c_736989,c_124]) ).
tff(c_737877,plain,
! [X_9511] :
( product(X_9511,e_5,e_4)
| ~ product(e_5,e_2,e_6)
| ~ product(X_9511,e_3,e_6) ),
inference(resolution,[status(thm)],[c_737820,c_703802]) ).
tff(c_743079,plain,
~ product(e_5,e_2,e_6),
inference(splitLeft,[status(thm)],[c_737877]) ).
tff(c_743082,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_743079]) ).
tff(c_743085,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_46,c_743082]) ).
tff(c_743086,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_742321,c_737757,c_743085]) ).
tff(c_743094,plain,
product(e_5,e_2,e_1),
inference(splitLeft,[status(thm)],[c_743086]) ).
tff(c_743223,plain,
! [X_9635] :
( product(X_9635,e_5,e_1)
| ~ product(X_9635,e_2,e_5) ),
inference(resolution,[status(thm)],[c_743094,c_124]) ).
tff(c_743245,plain,
( equalish(e_5,e_1)
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[c_743223,c_2267]) ).
tff(c_743274,plain,
~ product(e_1,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_96,c_743245]) ).
tff(c_735035,plain,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[c_735007,c_713441]) ).
tff(c_735151,plain,
~ product(e_1,e_2,e_4),
inference(splitLeft,[status(thm)],[c_735035]) ).
tff(c_736795,plain,
! [W_9497] :
( equalish(W_9497,e_4)
| ~ product(e_3,W_9497,e_5) ),
inference(resolution,[status(thm)],[c_736662,c_120]) ).
tff(c_736806,plain,
( equalish(e_6,e_4)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_628324,c_736795]) ).
tff(c_736838,plain,
( equalish(e_6,e_4)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_736806]) ).
tff(c_736839,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_736838]) ).
tff(c_742864,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_736839]) ).
tff(c_742908,plain,
( product(e_3,e_1,e_4)
| ~ product(e_1,e_2,e_6) ),
inference(resolution,[status(thm)],[c_742864,c_703802]) ).
tff(c_743047,plain,
~ product(e_1,e_2,e_6),
inference(splitLeft,[status(thm)],[c_742908]) ).
tff(c_743050,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_743047]) ).
tff(c_743053,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_743050]) ).
tff(c_743054,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_735151,c_743053]) ).
tff(c_743687,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_743274,c_743054]) ).
tff(c_743688,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_743687]) ).
tff(c_743131,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_743094,c_122]) ).
tff(c_743693,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_743688,c_743131]) ).
tff(c_743720,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_743693]) ).
tff(c_743721,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(splitRight,[status(thm)],[c_743687]) ).
tff(c_743723,plain,
product(e_1,e_2,e_3),
inference(splitLeft,[status(thm)],[c_743721]) ).
tff(c_713303,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_2,e_3) ),
inference(resolution,[status(thm)],[c_713255,c_122]) ).
tff(c_743730,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_743723,c_713303]) ).
tff(c_743752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_743730]) ).
tff(c_743753,plain,
product(e_1,e_2,e_2),
inference(splitRight,[status(thm)],[c_743721]) ).
tff(c_734323,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_734281,c_122]) ).
tff(c_743760,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_743753,c_734323]) ).
tff(c_743778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_743760]) ).
tff(c_743779,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_743086]) ).
tff(c_743781,plain,
product(e_5,e_2,e_5),
inference(splitLeft,[status(thm)],[c_743779]) ).
tff(c_744021,plain,
! [X_9649] :
( product(X_9649,e_5,e_5)
| ~ product(X_9649,e_2,e_5) ),
inference(resolution,[status(thm)],[c_743781,c_124]) ).
tff(c_743818,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_743781,c_120]) ).
tff(c_744025,plain,
( equalish(e_5,e_2)
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[c_744021,c_743818]) ).
tff(c_744054,plain,
equalish(e_5,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_743781,c_744025]) ).
tff(c_744056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_744054]) ).
tff(c_744057,plain,
product(e_5,e_2,e_2),
inference(splitRight,[status(thm)],[c_743779]) ).
tff(c_744105,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_744057,c_734323]) ).
tff(c_744123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_744105]) ).
tff(c_744125,plain,
product(e_5,e_2,e_6),
inference(splitRight,[status(thm)],[c_737877]) ).
tff(c_744131,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_744125,c_703924]) ).
tff(c_744158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_744131]) ).
tff(c_744160,plain,
product(e_1,e_2,e_6),
inference(splitRight,[status(thm)],[c_742908]) ).
tff(c_744166,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_744160,c_703924]) ).
tff(c_744192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_744166]) ).
tff(c_744194,plain,
product(e_5,e_2,e_3),
inference(splitRight,[status(thm)],[c_737010]) ).
tff(c_744201,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_744194,c_713303]) ).
tff(c_744224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_744201]) ).
tff(c_744226,plain,
product(e_5,e_2,e_4),
inference(splitRight,[status(thm)],[c_736682]) ).
tff(c_713443,plain,
! [W_14,X_9053] :
( equalish(W_14,X_9053)
| ~ product(W_14,e_4,e_3)
| ~ product(X_9053,e_2,e_4) ),
inference(resolution,[status(thm)],[c_713405,c_122]) ).
tff(c_714569,plain,
! [X_9053] :
( equalish(e_6,X_9053)
| ~ product(X_9053,e_2,e_4) ),
inference(resolution,[status(thm)],[c_714541,c_713443]) ).
tff(c_744232,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_744226,c_714569]) ).
tff(c_744259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_744232]) ).
tff(c_744261,plain,
product(e_1,e_2,e_4),
inference(splitRight,[status(thm)],[c_735035]) ).
tff(c_744268,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_744261,c_714569]) ).
tff(c_744294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_744268]) ).
tff(c_744295,plain,
product(e_3,e_2,e_3),
inference(splitRight,[status(thm)],[c_734237]) ).
tff(c_744303,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_744295,c_713303]) ).
tff(c_744334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_744303]) ).
tff(c_744336,plain,
product(e_3,e_4,e_6),
inference(splitRight,[status(thm)],[c_714988]) ).
tff(c_744347,plain,
( product(e_3,e_6,e_3)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_744336,c_713441]) ).
tff(c_744374,plain,
product(e_3,e_6,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_703574,c_744347]) ).
tff(c_714793,plain,
! [X_18,X_9089] :
( product(X_18,X_9089,e_3)
| ~ product(X_18,e_6,X_9089)
| ~ product(X_9089,e_4,e_6) ),
inference(resolution,[status(thm)],[c_714717,c_124]) ).
tff(c_744395,plain,
( product(e_3,e_3,e_3)
| ~ product(e_3,e_4,e_6) ),
inference(resolution,[status(thm)],[c_744374,c_714793]) ).
tff(c_744428,plain,
product(e_3,e_3,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_744336,c_744395]) ).
tff(c_714794,plain,
! [W_11,X_9089] :
( equalish(W_11,e_6)
| ~ product(X_9089,W_11,e_3)
| ~ product(X_9089,e_4,e_6) ),
inference(resolution,[status(thm)],[c_714717,c_120]) ).
tff(c_744461,plain,
( equalish(e_3,e_6)
| ~ product(e_3,e_4,e_6) ),
inference(resolution,[status(thm)],[c_744428,c_714794]) ).
tff(c_744482,plain,
equalish(e_3,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_744336,c_744461]) ).
tff(c_744484,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_744482]) ).
tff(c_744486,plain,
product(e_3,e_2,e_6),
inference(splitRight,[status(thm)],[c_714769]) ).
tff(c_744492,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_744486,c_703924]) ).
tff(c_744523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_744492]) ).
tff(c_744525,plain,
product(e_3,e_2,e_4),
inference(splitRight,[status(thm)],[c_713566]) ).
tff(c_744540,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_744525,c_703614]) ).
tff(c_744569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_744540]) ).
tff(c_744570,plain,
product(e_2,e_4,e_4),
inference(splitRight,[status(thm)],[c_704013]) ).
tff(c_744576,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_744570,c_703476]) ).
tff(c_744597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_744576]) ).
tff(c_744598,plain,
( product(e_6,e_6,e_3)
| product(e_6,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_628041]) ).
tff(c_744600,plain,
product(e_6,e_6,e_4),
inference(splitLeft,[status(thm)],[c_744598]) ).
tff(c_744602,plain,
( product(e_6,e_4,e_6)
| product(e_4,e_6,e_5)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_744600,c_219]) ).
tff(c_744615,plain,
( product(e_6,e_4,e_6)
| product(e_4,e_6,e_5)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_54,c_744602]) ).
tff(c_745215,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_744615]) ).
tff(c_745372,plain,
! [X_9671] :
( product(X_9671,e_4,e_1)
| ~ product(X_9671,e_6,e_4) ),
inference(resolution,[status(thm)],[c_745215,c_124]) ).
tff(c_745376,plain,
product(e_6,e_4,e_1),
inference(resolution,[status(thm)],[c_744600,c_745372]) ).
tff(c_745533,plain,
! [X_9675] :
( product(X_9675,e_6,e_1)
| ~ product(X_9675,e_4,e_6) ),
inference(resolution,[status(thm)],[c_745376,c_124]) ).
tff(c_745566,plain,
( equalish(e_6,e_1)
| ~ product(e_1,e_4,e_6) ),
inference(resolution,[status(thm)],[c_745533,c_2267]) ).
tff(c_745602,plain,
~ product(e_1,e_4,e_6),
inference(negUnitSimplification,[status(thm)],[c_106,c_745566]) ).
tff(c_745622,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_745602]) ).
tff(c_745625,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_745622]) ).
tff(c_745883,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_745625]) ).
tff(c_745417,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_745376,c_122]) ).
tff(c_745888,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_745883,c_745417]) ).
tff(c_745916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_745888]) ).
tff(c_745918,plain,
~ product(e_1,e_4,e_1),
inference(splitRight,[status(thm)],[c_745625]) ).
tff(c_744831,plain,
! [X_9655] :
( product(X_9655,e_6,e_4)
| ~ product(X_9655,e_6,e_6) ),
inference(resolution,[status(thm)],[c_744600,c_124]) ).
tff(c_744835,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_116,c_744831]) ).
tff(c_744838,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(X_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_744835]) ).
tff(c_745917,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_745625]) ).
tff(c_745919,plain,
product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_745917]) ).
tff(c_745949,plain,
! [W_9690] :
( equalish(W_9690,e_4)
| ~ product(e_1,W_9690,e_5) ),
inference(resolution,[status(thm)],[c_745919,c_120]) ).
tff(c_745960,plain,
( equalish(e_6,e_4)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_744838,c_745949]) ).
tff(c_745992,plain,
( equalish(e_6,e_4)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_745960]) ).
tff(c_745993,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_745992]) ).
tff(c_746834,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_745993]) ).
tff(c_745256,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_745215,c_122]) ).
tff(c_746851,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_746834,c_745256]) ).
tff(c_746887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_746851]) ).
tff(c_746888,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_745993]) ).
tff(c_746894,plain,
product(e_1,e_6,e_4),
inference(splitLeft,[status(thm)],[c_746888]) ).
tff(c_745254,plain,
! [X_18] :
( product(X_18,e_4,e_1)
| ~ product(X_18,e_6,e_4) ),
inference(resolution,[status(thm)],[c_745215,c_124]) ).
tff(c_746907,plain,
product(e_1,e_4,e_1),
inference(resolution,[status(thm)],[c_746894,c_745254]) ).
tff(c_746937,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_745918,c_746907]) ).
tff(c_746938,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_746888]) ).
tff(c_746940,plain,
product(e_1,e_6,e_2),
inference(splitLeft,[status(thm)],[c_746938]) ).
tff(c_746130,plain,
! [X_9693] :
( product(X_9693,e_1,e_5)
| ~ product(X_9693,e_4,e_1) ),
inference(resolution,[status(thm)],[c_745919,c_124]) ).
tff(c_746134,plain,
product(e_6,e_1,e_5),
inference(resolution,[status(thm)],[c_745376,c_746130]) ).
tff(c_746482,plain,
! [X_9697] :
( product(X_9697,e_6,e_5)
| ~ product(X_9697,e_1,e_6) ),
inference(resolution,[status(thm)],[c_746134,c_124]) ).
tff(c_746547,plain,
! [X_18,X_9697] :
( product(X_18,X_9697,e_5)
| ~ product(X_18,e_6,X_9697)
| ~ product(X_9697,e_1,e_6) ),
inference(resolution,[status(thm)],[c_746482,c_124]) ).
tff(c_746972,plain,
( product(e_1,e_2,e_5)
| ~ product(e_2,e_1,e_6) ),
inference(resolution,[status(thm)],[c_746940,c_746547]) ).
tff(c_747577,plain,
~ product(e_2,e_1,e_6),
inference(splitLeft,[status(thm)],[c_746972]) ).
tff(c_747580,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_747577]) ).
tff(c_747583,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_747580]) ).
tff(c_747584,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_747583]) ).
tff(c_748185,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_747584]) ).
tff(c_745610,plain,
! [X_18,X_9675] :
( product(X_18,X_9675,e_1)
| ~ product(X_18,e_6,X_9675)
| ~ product(X_9675,e_4,e_6) ),
inference(resolution,[status(thm)],[c_745533,c_124]) ).
tff(c_746975,plain,
( product(e_1,e_2,e_1)
| ~ product(e_2,e_4,e_6) ),
inference(resolution,[status(thm)],[c_746940,c_745610]) ).
tff(c_747488,plain,
~ product(e_2,e_4,e_6),
inference(splitLeft,[status(thm)],[c_746975]) ).
tff(c_747491,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_747488]) ).
tff(c_747494,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_747491]) ).
tff(c_755356,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_747494]) ).
tff(c_755392,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_755356,c_745417]) ).
tff(c_755450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_755392]) ).
tff(c_755451,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_747494]) ).
tff(c_755636,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_755451]) ).
tff(c_745947,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_4,e_5) ),
inference(resolution,[status(thm)],[c_745919,c_122]) ).
tff(c_755651,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_755636,c_745947]) ).
tff(c_755677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_755651]) ).
tff(c_755678,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_755451]) ).
tff(c_755722,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_755678]) ).
tff(c_755919,plain,
! [X_9934] :
( product(X_9934,e_2,e_2)
| ~ product(X_9934,e_4,e_2) ),
inference(resolution,[status(thm)],[c_755722,c_124]) ).
tff(c_755926,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_755722,c_755919]) ).
tff(c_755789,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_755722,c_120]) ).
tff(c_755930,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_755926,c_755789]) ).
tff(c_755972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_755930]) ).
tff(c_755973,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_755678]) ).
tff(c_755979,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_755973]) ).
tff(c_747095,plain,
! [X_9712] :
( product(X_9712,e_1,e_2)
| ~ product(X_9712,e_6,e_1) ),
inference(resolution,[status(thm)],[c_746940,c_124]) ).
tff(c_747103,plain,
product(e_4,e_1,e_2),
inference(resolution,[status(thm)],[c_745215,c_747095]) ).
tff(c_747126,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_747103,c_311]) ).
tff(c_747177,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_747126]) ).
tff(c_747178,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_747177]) ).
tff(c_748466,plain,
! [X_9744] :
( product(X_9744,e_2,e_3)
| ~ product(X_9744,e_1,e_2) ),
inference(resolution,[status(thm)],[c_748185,c_124]) ).
tff(c_748915,plain,
! [X_9757,X_9758] :
( product(X_9757,X_9758,e_3)
| ~ product(X_9757,e_2,X_9758)
| ~ product(X_9758,e_1,e_2) ),
inference(resolution,[status(thm)],[c_748466,c_124]) ).
tff(c_748947,plain,
( product(e_4,e_3,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c_747178,c_748915]) ).
tff(c_748974,plain,
~ product(e_3,e_1,e_2),
inference(splitLeft,[status(thm)],[c_748947]) ).
tff(c_747236,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_747178,c_124]) ).
tff(c_747503,plain,
! [X_9720] :
( product(X_9720,e_4,e_2)
| ~ product(X_9720,e_1,e_4) ),
inference(resolution,[status(thm)],[c_747103,c_124]) ).
tff(c_748109,plain,
! [X_9738,X_9739] :
( product(X_9738,X_9739,e_2)
| ~ product(X_9738,e_4,X_9739)
| ~ product(X_9739,e_1,e_4) ),
inference(resolution,[status(thm)],[c_747503,c_124]) ).
tff(c_748142,plain,
! [X_18] :
( product(X_18,e_3,e_2)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_747236,c_748109]) ).
tff(c_748900,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_748142]) ).
tff(c_748903,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_748900]) ).
tff(c_748906,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_748903]) ).
tff(c_748981,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_748974,c_748906]) ).
tff(c_748982,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_748981]) ).
tff(c_749011,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_748982,c_2268]) ).
tff(c_749069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_749011]) ).
tff(c_749070,plain,
product(e_3,e_1,e_3),
inference(splitRight,[status(thm)],[c_748981]) ).
tff(c_748291,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_748185,c_122]) ).
tff(c_749114,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_749070,c_748291]) ).
tff(c_749167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_749114]) ).
tff(c_749169,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_748947]) ).
tff(c_748569,plain,
! [W_9748,X_9749] :
( equalish(W_9748,X_9749)
| ~ product(W_9748,e_2,e_3)
| ~ product(X_9749,e_1,e_2) ),
inference(resolution,[status(thm)],[c_748466,c_122]) ).
tff(c_748577,plain,
! [X_9749] :
( equalish(e_4,X_9749)
| ~ product(X_9749,e_1,e_2) ),
inference(resolution,[status(thm)],[c_747178,c_748569]) ).
tff(c_749172,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_749169,c_748577]) ).
tff(c_749221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_749172]) ).
tff(c_749223,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_748142]) ).
tff(c_749533,plain,
! [X_9763] :
( product(X_9763,e_3,e_4)
| ~ product(X_9763,e_1,e_3) ),
inference(resolution,[status(thm)],[c_749223,c_124]) ).
tff(c_749573,plain,
! [W_11,X_9763] :
( equalish(W_11,e_3)
| ~ product(X_9763,W_11,e_4)
| ~ product(X_9763,e_1,e_3) ),
inference(resolution,[status(thm)],[c_749533,c_120]) ).
tff(c_755981,plain,
( equalish(e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_755979,c_749573]) ).
tff(c_756008,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_748185,c_755981]) ).
tff(c_756010,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_756008]) ).
tff(c_756011,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_755973]) ).
tff(c_748289,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_2,W_11,e_3) ),
inference(resolution,[status(thm)],[c_748185,c_120]) ).
tff(c_756024,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_756011,c_748289]) ).
tff(c_756067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_756024]) ).
tff(c_756069,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_747584]) ).
tff(c_756072,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_756069]) ).
tff(c_756075,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_756072]) ).
tff(c_756077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_756075]) ).
tff(c_756078,plain,
product(e_1,e_2,e_1),
inference(splitRight,[status(thm)],[c_746975]) ).
tff(c_756091,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_756078,c_2267]) ).
tff(c_756126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_756091]) ).
tff(c_756127,plain,
product(e_1,e_6,e_3),
inference(splitRight,[status(thm)],[c_746938]) ).
tff(c_756304,plain,
! [X_9940] :
( product(X_9940,e_1,e_3)
| ~ product(X_9940,e_6,e_1) ),
inference(resolution,[status(thm)],[c_756127,c_124]) ).
tff(c_756312,plain,
product(e_4,e_1,e_3),
inference(resolution,[status(thm)],[c_745215,c_756304]) ).
tff(c_756409,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_756312,c_124]) ).
tff(c_756586,plain,
! [X_9947] :
( product(X_9947,e_4,e_3)
| ~ product(X_9947,e_1,e_4) ),
inference(resolution,[status(thm)],[c_756312,c_124]) ).
tff(c_756870,plain,
! [X_9956,X_9957] :
( product(X_9956,X_9957,e_3)
| ~ product(X_9956,e_4,X_9957)
| ~ product(X_9957,e_1,e_4) ),
inference(resolution,[status(thm)],[c_756586,c_124]) ).
tff(c_756901,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_756409,c_756870]) ).
tff(c_756935,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_756901]) ).
tff(c_756938,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_756935]) ).
tff(c_756941,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_756938]) ).
tff(c_756942,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_756941]) ).
tff(c_756971,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_756942,c_2268]) ).
tff(c_757028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_756971]) ).
tff(c_757029,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_756941]) ).
tff(c_757055,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_757029]) ).
tff(c_756412,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_756312,c_122]) ).
tff(c_757062,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_757055,c_756412]) ).
tff(c_757115,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_757062]) ).
tff(c_757116,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_757029]) ).
tff(c_757165,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_757116,c_311]) ).
tff(c_757222,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_757165]) ).
tff(c_757223,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_757222]) ).
tff(c_757585,plain,
! [X_9968] :
( product(X_9968,e_3,e_3)
| ~ product(X_9968,e_2,e_3) ),
inference(resolution,[status(thm)],[c_757223,c_124]) ).
tff(c_757289,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_757223,c_120]) ).
tff(c_757589,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_757585,c_757289]) ).
tff(c_757618,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_757223,c_757589]) ).
tff(c_757620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_757618]) ).
tff(c_757926,plain,
! [X_9973] :
( product(X_9973,e_3,e_3)
| ~ product(X_9973,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_756901]) ).
tff(c_756643,plain,
! [W_11,X_9947] :
( equalish(W_11,e_4)
| ~ product(X_9947,W_11,e_3)
| ~ product(X_9947,e_1,e_4) ),
inference(resolution,[status(thm)],[c_756586,c_120]) ).
tff(c_757928,plain,
! [X_9973] :
( equalish(e_3,e_4)
| ~ product(X_9973,e_1,e_4) ),
inference(resolution,[status(thm)],[c_757926,c_756643]) ).
tff(c_757955,plain,
! [X_9973] : ~ product(X_9973,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_80,c_757928]) ).
tff(c_757622,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_756901]) ).
tff(c_757980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_757955,c_757622]) ).
tff(c_757981,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_745917]) ).
tff(c_758025,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_757981]) ).
tff(c_758137,plain,
! [X_9977] :
( product(X_9977,e_1,e_2)
| ~ product(X_9977,e_4,e_1) ),
inference(resolution,[status(thm)],[c_758025,c_124]) ).
tff(c_758141,plain,
product(e_6,e_1,e_2),
inference(resolution,[status(thm)],[c_745376,c_758137]) ).
tff(c_758225,plain,
! [X_18] :
( product(X_18,e_6,e_2)
| ~ product(X_18,e_1,e_6) ),
inference(resolution,[status(thm)],[c_758141,c_124]) ).
tff(c_758542,plain,
! [X_9984] :
( product(X_9984,e_6,e_2)
| ~ product(X_9984,e_1,e_6) ),
inference(resolution,[status(thm)],[c_758141,c_124]) ).
tff(c_759112,plain,
! [X_10003,X_10004] :
( product(X_10003,X_10004,e_2)
| ~ product(X_10003,e_6,X_10004)
| ~ product(X_10004,e_1,e_6) ),
inference(resolution,[status(thm)],[c_758542,c_124]) ).
tff(c_759150,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_1,e_6)
| ~ product(X_18,e_1,e_6) ),
inference(resolution,[status(thm)],[c_758225,c_759112]) ).
tff(c_759343,plain,
~ product(e_2,e_1,e_6),
inference(splitLeft,[status(thm)],[c_759150]) ).
tff(c_759346,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_759343]) ).
tff(c_759349,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_759346]) ).
tff(c_759350,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_759349]) ).
tff(c_759448,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_759350]) ).
tff(c_758164,plain,
( product(e_6,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_758141,c_311]) ).
tff(c_758215,plain,
( product(e_6,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_758164]) ).
tff(c_758216,plain,
product(e_6,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_758215]) ).
tff(c_759737,plain,
! [X_10014] :
( product(X_10014,e_2,e_3)
| ~ product(X_10014,e_1,e_2) ),
inference(resolution,[status(thm)],[c_759448,c_124]) ).
tff(c_759949,plain,
! [X_10023,X_10024] :
( product(X_10023,X_10024,e_3)
| ~ product(X_10023,e_2,X_10024)
| ~ product(X_10024,e_1,e_2) ),
inference(resolution,[status(thm)],[c_759737,c_124]) ).
tff(c_759981,plain,
( product(e_6,e_3,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c_758216,c_759949]) ).
tff(c_760013,plain,
~ product(e_3,e_1,e_2),
inference(splitLeft,[status(thm)],[c_759981]) ).
tff(c_758274,plain,
! [X_18] :
( product(X_18,e_6,e_3)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_758216,c_124]) ).
tff(c_759149,plain,
! [X_18] :
( product(X_18,e_3,e_2)
| ~ product(e_3,e_1,e_6)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_758274,c_759112]) ).
tff(c_759351,plain,
~ product(e_3,e_1,e_6),
inference(splitLeft,[status(thm)],[c_759149]) ).
tff(c_759354,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_759351]) ).
tff(c_759357,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_44,c_759354]) ).
tff(c_773966,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_760013,c_759357]) ).
tff(c_773967,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_773966]) ).
tff(c_774067,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_773967,c_2268]) ).
tff(c_774222,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_774067]) ).
tff(c_774223,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5) ),
inference(splitRight,[status(thm)],[c_773966]) ).
tff(c_774291,plain,
product(e_3,e_1,e_5),
inference(splitLeft,[status(thm)],[c_774223]) ).
tff(c_758587,plain,
! [X_9984] :
( product(X_9984,e_2,e_1)
| ~ product(e_2,e_4,e_6)
| ~ product(X_9984,e_1,e_6) ),
inference(resolution,[status(thm)],[c_758542,c_745610]) ).
tff(c_759180,plain,
~ product(e_2,e_4,e_6),
inference(splitLeft,[status(thm)],[c_758587]) ).
tff(c_759183,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_759180]) ).
tff(c_759186,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_759183]) ).
tff(c_765215,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_759186]) ).
tff(c_758051,plain,
! [X_18] :
( product(X_18,e_1,e_2)
| ~ product(X_18,e_4,e_1) ),
inference(resolution,[status(thm)],[c_758025,c_124]) ).
tff(c_765236,plain,
product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[c_765215,c_758051]) ).
tff(c_765288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1484,c_765236]) ).
tff(c_765290,plain,
~ product(e_2,e_4,e_1),
inference(splitRight,[status(thm)],[c_759186]) ).
tff(c_765289,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_759186]) ).
tff(c_765291,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_765289]) ).
tff(c_765321,plain,
! [W_10177] :
( equalish(W_10177,e_4)
| ~ product(e_2,W_10177,e_5) ),
inference(resolution,[status(thm)],[c_765291,c_120]) ).
tff(c_765332,plain,
( equalish(e_6,e_4)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_744838,c_765321]) ).
tff(c_765364,plain,
( equalish(e_6,e_4)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_765332]) ).
tff(c_765365,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_765364]) ).
tff(c_766142,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_765365]) ).
tff(c_766182,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_766142,c_745256]) ).
tff(c_766244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_766182]) ).
tff(c_766245,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_765365]) ).
tff(c_767143,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_766245]) ).
tff(c_767364,plain,
product(e_2,e_4,e_1),
inference(resolution,[status(thm)],[c_767143,c_745254]) ).
tff(c_767396,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_765290,c_767364]) ).
tff(c_767397,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_766245]) ).
tff(c_767570,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_767397]) ).
tff(c_768306,plain,
! [X_10200] :
( product(X_10200,e_2,e_2)
| ~ product(X_10200,e_6,e_2) ),
inference(resolution,[status(thm)],[c_767570,c_124]) ).
tff(c_768313,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_767570,c_768306]) ).
tff(c_767641,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_767570,c_120]) ).
tff(c_768319,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_768313,c_767641]) ).
tff(c_768359,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_768319]) ).
tff(c_768360,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_767397]) ).
tff(c_759546,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_2,W_11,e_3) ),
inference(resolution,[status(thm)],[c_759448,c_120]) ).
tff(c_768374,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_768360,c_759546]) ).
tff(c_768423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_768374]) ).
tff(c_768424,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_765289]) ).
tff(c_768639,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_768424]) ).
tff(c_758053,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_4,e_2) ),
inference(resolution,[status(thm)],[c_758025,c_122]) ).
tff(c_768648,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_768639,c_758053]) ).
tff(c_768676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_768648]) ).
tff(c_768677,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_768424]) ).
tff(c_768679,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_768677]) ).
tff(c_768793,plain,
! [X_10206] :
( product(X_10206,e_2,e_4)
| ~ product(X_10206,e_4,e_2) ),
inference(resolution,[status(thm)],[c_768679,c_124]) ).
tff(c_768797,plain,
product(e_1,e_2,e_4),
inference(resolution,[status(thm)],[c_758025,c_768793]) ).
tff(c_759808,plain,
! [X_18,X_10014] :
( product(X_18,X_10014,e_3)
| ~ product(X_18,e_2,X_10014)
| ~ product(X_10014,e_1,e_2) ),
inference(resolution,[status(thm)],[c_759737,c_124]) ).
tff(c_768836,plain,
( product(e_1,e_4,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c_768797,c_759808]) ).
tff(c_770232,plain,
~ product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_768836]) ).
tff(c_745257,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_4,e_6,W_8) ),
inference(resolution,[status(thm)],[c_745215,c_118]) ).
tff(c_758559,plain,
( equalish(e_2,e_1)
| ~ product(e_4,e_1,e_6) ),
inference(resolution,[status(thm)],[c_758542,c_745257]) ).
tff(c_758593,plain,
~ product(e_4,e_1,e_6),
inference(negUnitSimplification,[status(thm)],[c_66,c_758559]) ).
tff(c_758625,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_758593]) ).
tff(c_758628,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_44,c_758625]) ).
tff(c_770754,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_770232,c_758628]) ).
tff(c_770755,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_770754]) ).
tff(c_745255,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_4,W_11,e_1) ),
inference(resolution,[status(thm)],[c_745215,c_120]) ).
tff(c_771045,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_770755,c_745255]) ).
tff(c_771199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_771045]) ).
tff(c_771200,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(splitRight,[status(thm)],[c_770754]) ).
tff(c_771361,plain,
product(e_4,e_1,e_5),
inference(splitLeft,[status(thm)],[c_771200]) ).
tff(c_771574,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_5) ),
inference(resolution,[status(thm)],[c_771361,c_122]) ).
tff(c_774303,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_774291,c_771574]) ).
tff(c_774399,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_774303]) ).
tff(c_774400,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_774223]) ).
tff(c_774451,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_774400]) ).
tff(c_759548,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_759448,c_122]) ).
tff(c_774502,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_774451,c_759548]) ).
tff(c_774633,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_774502]) ).
tff(c_774634,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_774400]) ).
tff(c_775070,plain,
! [X_10265] :
( product(X_10265,e_3,e_4)
| ~ product(X_10265,e_1,e_3) ),
inference(resolution,[status(thm)],[c_774634,c_124]) ).
tff(c_768708,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_4) ),
inference(resolution,[status(thm)],[c_768679,c_120]) ).
tff(c_775082,plain,
( equalish(e_3,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_775070,c_768708]) ).
tff(c_775108,plain,
equalish(e_3,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_759448,c_775082]) ).
tff(c_775110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_775108]) ).
tff(c_775111,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_771200]) ).
tff(c_775162,plain,
product(e_4,e_1,e_3),
inference(splitLeft,[status(thm)],[c_775111]) ).
tff(c_775213,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_775162,c_759548]) ).
tff(c_775344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_775213]) ).
tff(c_775345,plain,
product(e_4,e_1,e_4),
inference(splitRight,[status(thm)],[c_775111]) ).
tff(c_776276,plain,
! [X_10272] :
( product(X_10272,e_4,e_4)
| ~ product(X_10272,e_1,e_4) ),
inference(resolution,[status(thm)],[c_775345,c_124]) ).
tff(c_776024,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_775345,c_120]) ).
tff(c_776280,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_776276,c_776024]) ).
tff(c_776324,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_775345,c_776280]) ).
tff(c_776326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_776324]) ).
tff(c_776327,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_768836]) ).
tff(c_758054,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_1,e_4,W_8) ),
inference(resolution,[status(thm)],[c_758025,c_118]) ).
tff(c_776432,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_776327,c_758054]) ).
tff(c_776464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_776432]) ).
tff(c_776465,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_768677]) ).
tff(c_776475,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_776465,c_759546]) ).
tff(c_776507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_776475]) ).
tff(c_776508,plain,
product(e_6,e_3,e_3),
inference(splitRight,[status(thm)],[c_759981]) ).
tff(c_759809,plain,
! [W_11,X_10014] :
( equalish(W_11,e_2)
| ~ product(X_10014,W_11,e_3)
| ~ product(X_10014,e_1,e_2) ),
inference(resolution,[status(thm)],[c_759737,c_120]) ).
tff(c_776511,plain,
( equalish(e_3,e_2)
| ~ product(e_6,e_1,e_2) ),
inference(resolution,[status(thm)],[c_776508,c_759809]) ).
tff(c_776535,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_758141,c_776511]) ).
tff(c_776537,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_776535]) ).
tff(c_776539,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_759350]) ).
tff(c_776542,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_776539]) ).
tff(c_776545,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_776542]) ).
tff(c_776547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_776545]) ).
tff(c_776549,plain,
product(e_3,e_1,e_6),
inference(splitRight,[status(thm)],[c_759149]) ).
tff(c_776589,plain,
~ next(e_3,e_4),
inference(resolution,[status(thm)],[c_776549,c_160]) ).
tff(c_776651,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_776589]) ).
tff(c_776653,plain,
product(e_2,e_4,e_6),
inference(splitRight,[status(thm)],[c_758587]) ).
tff(c_745763,plain,
! [W_9682,X_9683] :
( equalish(W_9682,X_9683)
| ~ product(W_9682,e_6,e_1)
| ~ product(X_9683,e_4,e_6) ),
inference(resolution,[status(thm)],[c_745533,c_122]) ).
tff(c_745769,plain,
! [X_9683] :
( equalish(e_4,X_9683)
| ~ product(X_9683,e_4,e_6) ),
inference(resolution,[status(thm)],[c_745215,c_745763]) ).
tff(c_776664,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_776653,c_745769]) ).
tff(c_776695,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_776664]) ).
tff(c_776696,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_757981]) ).
tff(c_776705,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_776696]) ).
tff(c_776818,plain,
! [X_10280] :
( product(X_10280,e_1,e_4)
| ~ product(X_10280,e_4,e_1) ),
inference(resolution,[status(thm)],[c_776705,c_124]) ).
tff(c_776822,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_745376,c_776818]) ).
tff(c_744621,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_6,W_11,e_4) ),
inference(resolution,[status(thm)],[c_744600,c_120]) ).
tff(c_776829,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_776822,c_744621]) ).
tff(c_776877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_776829]) ).
tff(c_776878,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_776696]) ).
tff(c_777012,plain,
! [X_10286] :
( product(X_10286,e_1,e_3)
| ~ product(X_10286,e_4,e_1) ),
inference(resolution,[status(thm)],[c_776878,c_124]) ).
tff(c_777016,plain,
product(e_6,e_1,e_3),
inference(resolution,[status(thm)],[c_745376,c_777012]) ).
tff(c_777566,plain,
! [X_10300] :
( equalish(e_6,X_10300)
| ~ next(X_10300,e_3)
| product(X_10300,e_1,e_2)
| product(X_10300,e_1,e_1)
| ~ group_element(X_10300) ),
inference(resolution,[status(thm)],[c_777016,c_314]) ).
tff(c_777596,plain,
( equalish(e_6,e_2)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_777566,c_1484]) ).
tff(c_777647,plain,
( equalish(e_6,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_777596]) ).
tff(c_777649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_108,c_777647]) ).
tff(c_777650,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| product(e_6,e_4,e_6) ),
inference(splitRight,[status(thm)],[c_744615]) ).
tff(c_777746,plain,
product(e_6,e_4,e_6),
inference(splitLeft,[status(thm)],[c_777650]) ).
tff(c_777875,plain,
! [X_10307] :
( product(X_10307,e_6,e_6)
| ~ product(X_10307,e_4,e_6) ),
inference(resolution,[status(thm)],[c_777746,c_124]) ).
tff(c_777777,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_6,W_11,e_6) ),
inference(resolution,[status(thm)],[c_777746,c_120]) ).
tff(c_777879,plain,
( equalish(e_6,e_4)
| ~ product(e_6,e_4,e_6) ),
inference(resolution,[status(thm)],[c_777875,c_777777]) ).
tff(c_777908,plain,
equalish(e_6,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_777746,c_777879]) ).
tff(c_777910,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_777908]) ).
tff(c_777911,plain,
( product(e_4,e_6,e_5)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_777650]) ).
tff(c_777935,plain,
product(e_4,e_6,e_2),
inference(splitLeft,[status(thm)],[c_777911]) ).
tff(c_778056,plain,
! [X_10314] :
( product(X_10314,e_4,e_2)
| ~ product(X_10314,e_6,e_4) ),
inference(resolution,[status(thm)],[c_777935,c_124]) ).
tff(c_778060,plain,
product(e_6,e_4,e_2),
inference(resolution,[status(thm)],[c_744600,c_778056]) ).
tff(c_778180,plain,
! [X_10318] :
( product(X_10318,e_6,e_2)
| ~ product(X_10318,e_4,e_6) ),
inference(resolution,[status(thm)],[c_778060,c_124]) ).
tff(c_778367,plain,
! [X_10327,X_10328] :
( product(X_10327,X_10328,e_2)
| ~ product(X_10327,e_6,X_10328)
| ~ product(X_10328,e_4,e_6) ),
inference(resolution,[status(thm)],[c_778180,c_124]) ).
tff(c_778401,plain,
( product(e_4,e_2,e_2)
| ~ product(e_2,e_4,e_6) ),
inference(resolution,[status(thm)],[c_777935,c_778367]) ).
tff(c_778430,plain,
~ product(e_2,e_4,e_6),
inference(splitLeft,[status(thm)],[c_778401]) ).
tff(c_778433,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_778430]) ).
tff(c_778436,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_778433]) ).
tff(c_778546,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_778436]) ).
tff(c_778695,plain,
! [X_10338] :
( product(X_10338,e_2,e_1)
| ~ product(X_10338,e_4,e_2) ),
inference(resolution,[status(thm)],[c_778546,c_124]) ).
tff(c_778699,plain,
product(e_6,e_2,e_1),
inference(resolution,[status(thm)],[c_778060,c_778695]) ).
tff(c_787478,plain,
product(e_5,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1923]) ).
tff(c_787573,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_787478,c_2268]) ).
tff(c_787716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_787573]) ).
tff(c_787718,plain,
~ product(e_5,e_1,e_1),
inference(splitRight,[status(thm)],[c_1923]) ).
tff(c_787717,plain,
! [X_139] :
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_1923]) ).
tff(c_787799,plain,
product(e_5,e_1,e_5),
inference(splitLeft,[status(thm)],[c_787717]) ).
tff(c_788311,plain,
! [X_10562] :
( product(X_10562,e_5,e_5)
| ~ product(X_10562,e_1,e_5) ),
inference(resolution,[status(thm)],[c_787799,c_124]) ).
tff(c_787992,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_787799,c_120]) ).
tff(c_788315,plain,
( equalish(e_5,e_1)
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[c_788311,c_787992]) ).
tff(c_788332,plain,
equalish(e_5,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_787799,c_788315]) ).
tff(c_788334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_788332]) ).
tff(c_788335,plain,
! [X_139] :
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_787717]) ).
tff(c_788387,plain,
product(e_5,e_1,e_2),
inference(splitLeft,[status(thm)],[c_788335]) ).
tff(c_778876,plain,
! [X_10342] :
( product(X_10342,e_6,e_1)
| ~ product(X_10342,e_2,e_6) ),
inference(resolution,[status(thm)],[c_778699,c_124]) ).
tff(c_777964,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_4,e_6,W_8) ),
inference(resolution,[status(thm)],[c_777935,c_118]) ).
tff(c_778893,plain,
( equalish(e_1,e_2)
| ~ product(e_4,e_2,e_6) ),
inference(resolution,[status(thm)],[c_778876,c_777964]) ).
tff(c_778939,plain,
~ product(e_4,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_56,c_778893]) ).
tff(c_778982,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_778939]) ).
tff(c_778985,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_46,c_778982]) ).
tff(c_781750,plain,
product(e_4,e_2,e_1),
inference(splitLeft,[status(thm)],[c_778985]) ).
tff(c_778752,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_778699,c_122]) ).
tff(c_781766,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_781750,c_778752]) ).
tff(c_781808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_781766]) ).
tff(c_781809,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_778985]) ).
tff(c_781811,plain,
product(e_4,e_2,e_5),
inference(splitLeft,[status(thm)],[c_781809]) ).
tff(c_778237,plain,
! [X_18,X_10318] :
( product(X_18,X_10318,e_2)
| ~ product(X_18,e_6,X_10318)
| ~ product(X_10318,e_4,e_6) ),
inference(resolution,[status(thm)],[c_778180,c_124]) ).
tff(c_778933,plain,
! [X_10342] :
( product(X_10342,e_1,e_2)
| ~ product(e_1,e_4,e_6)
| ~ product(X_10342,e_2,e_6) ),
inference(resolution,[status(thm)],[c_778876,c_778237]) ).
tff(c_779210,plain,
~ product(e_1,e_4,e_6),
inference(splitLeft,[status(thm)],[c_778933]) ).
tff(c_779213,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_779210]) ).
tff(c_779216,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_779213]) ).
tff(c_779217,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_779216]) ).
tff(c_778587,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_778546,c_122]) ).
tff(c_779222,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_779217,c_778587]) ).
tff(c_779250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_779222]) ).
tff(c_779251,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_779216]) ).
tff(c_779340,plain,
product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_779251]) ).
tff(c_779545,plain,
! [X_10359] :
( product(X_10359,e_1,e_5)
| ~ product(X_10359,e_4,e_1) ),
inference(resolution,[status(thm)],[c_779340,c_124]) ).
tff(c_779549,plain,
product(e_2,e_1,e_5),
inference(resolution,[status(thm)],[c_778546,c_779545]) ).
tff(c_779576,plain,
( equalish(e_5,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_779549,c_316]) ).
tff(c_779644,plain,
( equalish(e_5,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_779576]) ).
tff(c_779646,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_100,c_779644]) ).
tff(c_779647,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_779251]) ).
tff(c_779724,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_779647]) ).
tff(c_778088,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_2) ),
inference(resolution,[status(thm)],[c_778060,c_122]) ).
tff(c_779732,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_779724,c_778088]) ).
tff(c_779753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_779732]) ).
tff(c_779754,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_779647]) ).
tff(c_779763,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_779754]) ).
tff(c_779876,plain,
! [X_10367] :
( product(X_10367,e_1,e_4)
| ~ product(X_10367,e_4,e_1) ),
inference(resolution,[status(thm)],[c_779763,c_124]) ).
tff(c_779880,plain,
product(e_2,e_1,e_4),
inference(resolution,[status(thm)],[c_778546,c_779876]) ).
tff(c_779911,plain,
( equalish(e_4,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_779880,c_316]) ).
tff(c_779982,plain,
( equalish(e_4,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_779911]) ).
tff(c_779984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_90,c_779982]) ).
tff(c_779985,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_779754]) ).
tff(c_780119,plain,
! [X_10373] :
( product(X_10373,e_1,e_3)
| ~ product(X_10373,e_4,e_1) ),
inference(resolution,[status(thm)],[c_779985,c_124]) ).
tff(c_780123,plain,
product(e_2,e_1,e_3),
inference(resolution,[status(thm)],[c_778546,c_780119]) ).
tff(c_780397,plain,
! [X_10377] :
( product(X_10377,e_2,e_3)
| ~ product(X_10377,e_1,e_2) ),
inference(resolution,[status(thm)],[c_780123,c_124]) ).
tff(c_780462,plain,
! [W_8,X_10377] :
( equalish(W_8,e_3)
| ~ product(X_10377,e_2,W_8)
| ~ product(X_10377,e_1,e_2) ),
inference(resolution,[status(thm)],[c_780397,c_118]) ).
tff(c_781822,plain,
( equalish(e_5,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c_781811,c_780462]) ).
tff(c_781853,plain,
~ product(e_4,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_100,c_781822]) ).
tff(c_781896,plain,
! [W_10422] :
( equalish(W_10422,e_2)
| ~ product(e_4,W_10422,e_5) ),
inference(resolution,[status(thm)],[c_781811,c_120]) ).
tff(c_781931,plain,
( equalish(e_1,e_2)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_236,c_781896]) ).
tff(c_781958,plain,
( equalish(e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_781931]) ).
tff(c_781959,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_781853,c_56,c_781958]) ).
tff(c_782464,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_781959]) ).
tff(c_782503,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_782464,c_2268]) ).
tff(c_782575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_782503]) ).
tff(c_782577,plain,
~ product(e_4,e_1,e_1),
inference(splitRight,[status(thm)],[c_781959]) ).
tff(c_781824,plain,
( equalish(e_2,e_1)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_781811,c_1940]) ).
tff(c_781856,plain,
( equalish(e_2,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_781824]) ).
tff(c_781857,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_781856]) ).
tff(c_782603,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_782577,c_781853,c_781857]) ).
tff(c_782604,plain,
product(e_4,e_1,e_3),
inference(splitLeft,[status(thm)],[c_782603]) ).
tff(c_780236,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_780123,c_122]) ).
tff(c_782617,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_782604,c_780236]) ).
tff(c_782688,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_782617]) ).
tff(c_782689,plain,
product(e_4,e_1,e_4),
inference(splitRight,[status(thm)],[c_782603]) ).
tff(c_782993,plain,
! [X_10439] :
( product(X_10439,e_4,e_4)
| ~ product(X_10439,e_1,e_4) ),
inference(resolution,[status(thm)],[c_782689,c_124]) ).
tff(c_782821,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_782689,c_120]) ).
tff(c_782997,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_782993,c_782821]) ).
tff(c_783038,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_782689,c_782997]) ).
tff(c_783040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_783038]) ).
tff(c_783041,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_781809]) ).
tff(c_783214,plain,
product(e_4,e_2,e_2),
inference(splitLeft,[status(thm)],[c_783041]) ).
tff(c_777962,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_4,W_11,e_2) ),
inference(resolution,[status(thm)],[c_777935,c_120]) ).
tff(c_783234,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_783214,c_777962]) ).
tff(c_783280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_783234]) ).
tff(c_783281,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_783041]) ).
tff(c_783283,plain,
product(e_4,e_2,e_4),
inference(splitLeft,[status(thm)],[c_783281]) ).
tff(c_783481,plain,
! [X_10445] :
( product(X_10445,e_4,e_4)
| ~ product(X_10445,e_2,e_4) ),
inference(resolution,[status(thm)],[c_783283,c_124]) ).
tff(c_783346,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_783283,c_120]) ).
tff(c_783485,plain,
( equalish(e_4,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c_783481,c_783346]) ).
tff(c_783521,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_783283,c_783485]) ).
tff(c_783523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_783521]) ).
tff(c_783524,plain,
product(e_4,e_2,e_3),
inference(splitRight,[status(thm)],[c_783281]) ).
tff(c_780461,plain,
! [W_14,X_10377] :
( equalish(W_14,X_10377)
| ~ product(W_14,e_2,e_3)
| ~ product(X_10377,e_1,e_2) ),
inference(resolution,[status(thm)],[c_780397,c_122]) ).
tff(c_783593,plain,
! [X_10377] :
( equalish(e_4,X_10377)
| ~ product(X_10377,e_1,e_2) ),
inference(resolution,[status(thm)],[c_783524,c_780461]) ).
tff(c_788414,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_788387,c_783593]) ).
tff(c_788523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_788414]) ).
tff(c_788525,plain,
~ product(e_5,e_1,e_2),
inference(splitRight,[status(thm)],[c_788335]) ).
tff(c_2909,plain,
! [X_4,Y_5] :
( equalish(X_4,X_4)
| product(X_4,Y_5,e_4)
| product(X_4,Y_5,e_3)
| product(X_4,Y_5,e_2)
| product(X_4,Y_5,e_1)
| ~ group_element(Y_5)
| ~ group_element(X_4)
| product(X_4,Y_5,e_5) ),
inference(factorization,[status(thm),theory(equality)],[c_425]) ).
tff(c_788336,plain,
~ product(e_5,e_1,e_5),
inference(splitRight,[status(thm)],[c_787717]) ).
tff(c_788342,plain,
( equalish(e_5,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_2909,c_788336]) ).
tff(c_788364,plain,
( equalish(e_5,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_44,c_788342]) ).
tff(c_788365,plain,
( equalish(e_5,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_787718,c_788364]) ).
tff(c_788386,plain,
product(e_5,e_1,e_2),
inference(splitLeft,[status(thm)],[c_788365]) ).
tff(c_788547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_788525,c_788386]) ).
tff(c_788549,plain,
~ product(e_5,e_1,e_2),
inference(splitRight,[status(thm)],[c_788365]) ).
tff(c_788739,plain,
! [X_139] :
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(negUnitSimplification,[status(thm)],[c_788549,c_788335]) ).
tff(c_788740,plain,
product(e_5,e_1,e_3),
inference(splitLeft,[status(thm)],[c_788739]) ).
tff(c_788783,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_788740,c_780236]) ).
tff(c_788901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_788783]) ).
tff(c_788903,plain,
~ product(e_5,e_1,e_3),
inference(splitRight,[status(thm)],[c_788739]) ).
tff(c_778753,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_6,e_2,W_8) ),
inference(resolution,[status(thm)],[c_778699,c_118]) ).
tff(c_780409,plain,
( equalish(e_3,e_1)
| ~ product(e_6,e_1,e_2) ),
inference(resolution,[status(thm)],[c_780397,c_778753]) ).
tff(c_780440,plain,
~ product(e_6,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_76,c_780409]) ).
tff(c_788902,plain,
! [X_139] :
( product(e_5,e_1,e_4)
| product(X_139,e_5,e_6)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(splitRight,[status(thm)],[c_788739]) ).
tff(c_789258,plain,
product(e_5,e_1,e_4),
inference(splitLeft,[status(thm)],[c_788902]) ).
tff(c_789680,plain,
! [X_10582] :
( product(X_10582,e_5,e_4)
| ~ product(X_10582,e_1,e_5) ),
inference(resolution,[status(thm)],[c_789258,c_124]) ).
tff(c_789690,plain,
( equalish(e_5,e_6)
| ~ product(e_6,e_1,e_5) ),
inference(resolution,[status(thm)],[c_789680,c_744621]) ).
tff(c_789709,plain,
~ product(e_6,e_1,e_5),
inference(negUnitSimplification,[status(thm)],[c_104,c_789690]) ).
tff(c_789729,plain,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_461971,c_789709]) ).
tff(c_789755,plain,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_789729]) ).
tff(c_789756,plain,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_780440,c_789755]) ).
tff(c_790135,plain,
product(e_6,e_1,e_1),
inference(splitLeft,[status(thm)],[c_789756]) ).
tff(c_778751,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_6,W_11,e_1) ),
inference(resolution,[status(thm)],[c_778699,c_120]) ).
tff(c_790210,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_790135,c_778751]) ).
tff(c_790365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_790210]) ).
tff(c_790366,plain,
( product(e_6,e_1,e_3)
| product(e_6,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_789756]) ).
tff(c_790435,plain,
product(e_6,e_1,e_4),
inference(splitLeft,[status(thm)],[c_790366]) ).
tff(c_789461,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_789258,c_122]) ).
tff(c_790442,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_790435,c_789461]) ).
tff(c_790541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_790442]) ).
tff(c_790542,plain,
product(e_6,e_1,e_3),
inference(splitRight,[status(thm)],[c_790366]) ).
tff(c_790692,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_790542,c_780236]) ).
tff(c_790821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_790692]) ).
tff(c_790823,plain,
~ product(e_5,e_1,e_4),
inference(splitRight,[status(thm)],[c_788902]) ).
tff(c_778914,plain,
( equalish(e_6,e_1)
| ~ product(e_1,e_2,e_6) ),
inference(resolution,[status(thm)],[c_778876,c_2267]) ).
tff(c_778956,plain,
~ product(e_1,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_106,c_778914]) ).
tff(c_778988,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_778956]) ).
tff(c_778991,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_778988]) ).
tff(c_792469,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_778991]) ).
tff(c_783664,plain,
! [W_10447] :
( equalish(W_10447,e_4)
| ~ product(W_10447,e_2,e_3) ),
inference(resolution,[status(thm)],[c_783524,c_122]) ).
tff(c_784257,plain,
! [X_10465] :
( equalish(X_10465,e_4)
| ~ next(X_10465,e_2)
| product(X_10465,e_1,e_1)
| ~ group_element(X_10465) ),
inference(resolution,[status(thm)],[c_1774,c_783664]) ).
tff(c_784425,plain,
! [W_11,X_10465] :
( equalish(W_11,e_1)
| ~ product(X_10465,W_11,e_1)
| equalish(X_10465,e_4)
| ~ next(X_10465,e_2)
| ~ group_element(X_10465) ),
inference(resolution,[status(thm)],[c_784257,c_120]) ).
tff(c_792649,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_4)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_792469,c_784425]) ).
tff(c_792714,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_792649]) ).
tff(c_792716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_66,c_792714]) ).
tff(c_792717,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_778991]) ).
tff(c_792719,plain,
product(e_1,e_2,e_5),
inference(splitLeft,[status(thm)],[c_792717]) ).
tff(c_792997,plain,
! [X_10630] :
( product(X_10630,e_1,e_5)
| ~ product(X_10630,e_2,e_1) ),
inference(resolution,[status(thm)],[c_792719,c_124]) ).
tff(c_793001,plain,
product(e_6,e_1,e_5),
inference(resolution,[status(thm)],[c_778699,c_792997]) ).
tff(c_793144,plain,
( product(e_6,e_5,e_6)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_793001,c_219]) ).
tff(c_793280,plain,
( product(e_6,e_5,e_6)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_44,c_793144]) ).
tff(c_793281,plain,
product(e_6,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_787718,c_788549,c_788903,c_790823,c_788336,c_793280]) ).
tff(c_793896,plain,
! [X_10640] :
( product(X_10640,e_6,e_6)
| ~ product(X_10640,e_5,e_6) ),
inference(resolution,[status(thm)],[c_793281,c_124]) ).
tff(c_793336,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_6) ),
inference(resolution,[status(thm)],[c_793281,c_120]) ).
tff(c_793900,plain,
( equalish(e_6,e_5)
| ~ product(e_6,e_5,e_6) ),
inference(resolution,[status(thm)],[c_793896,c_793336]) ).
tff(c_793943,plain,
equalish(e_6,e_5),
inference(demodulation,[status(thm),theory(equality)],[c_793281,c_793900]) ).
tff(c_793945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_793943]) ).
tff(c_793946,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_792717]) ).
tff(c_793990,plain,
product(e_1,e_2,e_2),
inference(splitLeft,[status(thm)],[c_793946]) ).
tff(c_783790,plain,
! [X_10450] :
( product(X_10450,e_4,e_3)
| ~ product(X_10450,e_2,e_4) ),
inference(resolution,[status(thm)],[c_783524,c_124]) ).
tff(c_778588,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_2,e_4,W_8) ),
inference(resolution,[status(thm)],[c_778546,c_118]) ).
tff(c_783819,plain,
( equalish(e_3,e_1)
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[c_783790,c_778588]) ).
tff(c_783861,plain,
~ product(e_2,e_2,e_4),
inference(negUnitSimplification,[status(thm)],[c_76,c_783819]) ).
tff(c_778586,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_1) ),
inference(resolution,[status(thm)],[c_778546,c_120]) ).
tff(c_778884,plain,
( equalish(e_6,e_4)
| ~ product(e_2,e_2,e_6) ),
inference(resolution,[status(thm)],[c_778876,c_778586]) ).
tff(c_778932,plain,
~ product(e_2,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_112,c_778884]) ).
tff(c_778976,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_778932]) ).
tff(c_778979,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_778976]) ).
tff(c_791042,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_783861,c_778979]) ).
tff(c_791043,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_791042]) ).
tff(c_791242,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_791043,c_778752]) ).
tff(c_791311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_791242]) ).
tff(c_791312,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_791042]) ).
tff(c_791314,plain,
product(e_2,e_2,e_5),
inference(splitLeft,[status(thm)],[c_791312]) ).
tff(c_791379,plain,
! [W_10606] :
( equalish(W_10606,e_2)
| ~ product(e_2,W_10606,e_5) ),
inference(resolution,[status(thm)],[c_791314,c_120]) ).
tff(c_791390,plain,
( equalish(e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_744838,c_791379]) ).
tff(c_791422,plain,
( equalish(e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_791390]) ).
tff(c_791423,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_791422]) ).
tff(c_791945,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_791423]) ).
tff(c_791975,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_791945,c_778586]) ).
tff(c_792034,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_791975]) ).
tff(c_792035,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_791423]) ).
tff(c_792041,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_792035]) ).
tff(c_744622,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_6,e_4) ),
inference(resolution,[status(thm)],[c_744600,c_122]) ).
tff(c_792059,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_792041,c_744622]) ).
tff(c_792087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_792059]) ).
tff(c_792088,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_792035]) ).
tff(c_792091,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_792088]) ).
tff(c_777963,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_6,e_2) ),
inference(resolution,[status(thm)],[c_777935,c_122]) ).
tff(c_792112,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_792091,c_777963]) ).
tff(c_792148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_792112]) ).
tff(c_792149,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_792088]) ).
tff(c_780234,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_2,W_11,e_3) ),
inference(resolution,[status(thm)],[c_780123,c_120]) ).
tff(c_792165,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_792149,c_780234]) ).
tff(c_792207,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_792165]) ).
tff(c_792208,plain,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_791312]) ).
tff(c_792252,plain,
product(e_2,e_2,e_2),
inference(splitLeft,[status(thm)],[c_792208]) ).
tff(c_792332,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_792252,c_122]) ).
tff(c_793993,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_793990,c_792332]) ).
tff(c_794033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_793993]) ).
tff(c_794034,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_793946]) ).
tff(c_794037,plain,
product(e_1,e_2,e_4),
inference(splitLeft,[status(thm)],[c_794034]) ).
tff(c_794250,plain,
! [X_10643] :
( product(X_10643,e_1,e_4)
| ~ product(X_10643,e_2,e_1) ),
inference(resolution,[status(thm)],[c_794037,c_124]) ).
tff(c_794254,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_778699,c_794250]) ).
tff(c_794305,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_794254,c_744621]) ).
tff(c_794427,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_794305]) ).
tff(c_794428,plain,
product(e_1,e_2,e_3),
inference(splitRight,[status(thm)],[c_794034]) ).
tff(c_783619,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_2,e_3) ),
inference(resolution,[status(thm)],[c_783524,c_122]) ).
tff(c_794434,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_794428,c_783619]) ).
tff(c_794489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_794434]) ).
tff(c_794490,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_792208]) ).
tff(c_794496,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_794490,c_783619]) ).
tff(c_794551,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_794496]) ).
tff(c_794553,plain,
product(e_1,e_4,e_6),
inference(splitRight,[status(thm)],[c_778933]) ).
tff(c_778334,plain,
! [W_10322,X_10323] :
( equalish(W_10322,X_10323)
| ~ product(W_10322,e_6,e_2)
| ~ product(X_10323,e_4,e_6) ),
inference(resolution,[status(thm)],[c_778180,c_122]) ).
tff(c_778340,plain,
! [X_10323] :
( equalish(e_4,X_10323)
| ~ product(X_10323,e_4,e_6) ),
inference(resolution,[status(thm)],[c_777935,c_778334]) ).
tff(c_794649,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_794553,c_778340]) ).
tff(c_794676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_794649]) ).
tff(c_794677,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_778436]) ).
tff(c_794679,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_794677]) ).
tff(c_794725,plain,
! [W_10649] :
( equalish(W_10649,e_4)
| ~ product(e_2,W_10649,e_5) ),
inference(resolution,[status(thm)],[c_794679,c_120]) ).
tff(c_794736,plain,
( equalish(e_6,e_4)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_744838,c_794725]) ).
tff(c_794768,plain,
( equalish(e_6,e_4)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_794736]) ).
tff(c_794769,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_794768]) ).
tff(c_795571,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_794769]) ).
tff(c_795770,plain,
! [X_10673] :
( product(X_10673,e_2,e_1)
| ~ product(X_10673,e_6,e_2) ),
inference(resolution,[status(thm)],[c_795571,c_124]) ).
tff(c_795778,plain,
product(e_4,e_2,e_1),
inference(resolution,[status(thm)],[c_777935,c_795770]) ).
tff(c_795961,plain,
! [X_10678] :
( product(X_10678,e_4,e_1)
| ~ product(X_10678,e_2,e_4) ),
inference(resolution,[status(thm)],[c_795778,c_124]) ).
tff(c_795993,plain,
( equalish(e_4,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[c_795961,c_2267]) ).
tff(c_796033,plain,
~ product(e_1,e_2,e_4),
inference(negUnitSimplification,[status(thm)],[c_86,c_795993]) ).
tff(c_794945,plain,
! [X_10654] :
( product(X_10654,e_2,e_5)
| ~ product(X_10654,e_4,e_2) ),
inference(resolution,[status(thm)],[c_794679,c_124]) ).
tff(c_794949,plain,
product(e_6,e_2,e_5),
inference(resolution,[status(thm)],[c_778060,c_794945]) ).
tff(c_795185,plain,
! [X_10658] :
( product(X_10658,e_6,e_5)
| ~ product(X_10658,e_2,e_6) ),
inference(resolution,[status(thm)],[c_794949,c_124]) ).
tff(c_795251,plain,
! [X_18,X_10658] :
( product(X_18,X_10658,e_5)
| ~ product(X_18,e_6,X_10658)
| ~ product(X_10658,e_2,e_6) ),
inference(resolution,[status(thm)],[c_795185,c_124]) ).
tff(c_795603,plain,
( product(e_2,e_1,e_5)
| ~ product(e_1,e_2,e_6) ),
inference(resolution,[status(thm)],[c_795571,c_795251]) ).
tff(c_796045,plain,
~ product(e_1,e_2,e_6),
inference(splitLeft,[status(thm)],[c_795603]) ).
tff(c_796048,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_796045]) ).
tff(c_796051,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_796048]) ).
tff(c_796052,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_796033,c_796051]) ).
tff(c_797804,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_796052]) ).
tff(c_796175,plain,
! [X_10686,X_10687] :
( product(X_10686,X_10687,e_1)
| ~ product(X_10686,e_4,X_10687)
| ~ product(X_10687,e_2,e_4) ),
inference(resolution,[status(thm)],[c_795961,c_124]) ).
tff(c_796207,plain,
( product(e_2,e_5,e_1)
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[c_794679,c_796175]) ).
tff(c_796239,plain,
~ product(e_5,e_2,e_4),
inference(splitLeft,[status(thm)],[c_796207]) ).
tff(c_794987,plain,
! [X_18] :
( product(X_18,e_6,e_5)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_794949,c_124]) ).
tff(c_795506,plain,
! [X_10668,X_10669] :
( product(X_10668,X_10669,e_5)
| ~ product(X_10668,e_6,X_10669)
| ~ product(X_10669,e_2,e_6) ),
inference(resolution,[status(thm)],[c_795185,c_124]) ).
tff(c_795541,plain,
! [X_18] :
( product(X_18,e_5,e_5)
| ~ product(e_5,e_2,e_6)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_794987,c_795506]) ).
tff(c_796240,plain,
~ product(e_5,e_2,e_6),
inference(splitLeft,[status(thm)],[c_795541]) ).
tff(c_796243,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_796240]) ).
tff(c_796246,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_46,c_796243]) ).
tff(c_796247,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_796239,c_796246]) ).
tff(c_796249,plain,
product(e_5,e_2,e_1),
inference(splitLeft,[status(thm)],[c_796247]) ).
tff(c_795837,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_795778,c_122]) ).
tff(c_796255,plain,
equalish(e_5,e_4),
inference(resolution,[status(thm)],[c_796249,c_795837]) ).
tff(c_796287,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_796255]) ).
tff(c_796288,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_796247]) ).
tff(c_796290,plain,
product(e_5,e_2,e_5),
inference(splitLeft,[status(thm)],[c_796288]) ).
tff(c_794989,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_5) ),
inference(resolution,[status(thm)],[c_794949,c_122]) ).
tff(c_796295,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_796290,c_794989]) ).
tff(c_796320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_796295]) ).
tff(c_796321,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_796288]) ).
tff(c_796365,plain,
product(e_5,e_2,e_2),
inference(splitLeft,[status(thm)],[c_796321]) ).
tff(c_796509,plain,
! [X_10692] :
( product(X_10692,e_5,e_2)
| ~ product(X_10692,e_2,e_5) ),
inference(resolution,[status(thm)],[c_796365,c_124]) ).
tff(c_778087,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_6,W_11,e_2) ),
inference(resolution,[status(thm)],[c_778060,c_120]) ).
tff(c_796519,plain,
( equalish(e_5,e_4)
| ~ product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[c_796509,c_778087]) ).
tff(c_796545,plain,
equalish(e_5,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_794949,c_796519]) ).
tff(c_796547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_796545]) ).
tff(c_796548,plain,
product(e_5,e_2,e_3),
inference(splitRight,[status(thm)],[c_796321]) ).
tff(c_796688,plain,
! [W_10695] :
( equalish(W_10695,e_5)
| ~ product(W_10695,e_2,e_3) ),
inference(resolution,[status(thm)],[c_796548,c_122]) ).
tff(c_797039,plain,
! [X_10707] :
( equalish(X_10707,e_5)
| ~ next(X_10707,e_2)
| product(X_10707,e_1,e_1)
| ~ group_element(X_10707) ),
inference(resolution,[status(thm)],[c_1774,c_796688]) ).
tff(c_797183,plain,
! [W_11,X_10707] :
( equalish(W_11,e_1)
| ~ product(X_10707,W_11,e_1)
| equalish(X_10707,e_5)
| ~ next(X_10707,e_2)
| ~ group_element(X_10707) ),
inference(resolution,[status(thm)],[c_797039,c_120]) ).
tff(c_797922,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_5)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_797804,c_797183]) ).
tff(c_797962,plain,
( equalish(e_2,e_1)
| equalish(e_1,e_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_797922]) ).
tff(c_797964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_66,c_797962]) ).
tff(c_797965,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_796052]) ).
tff(c_797967,plain,
product(e_1,e_2,e_5),
inference(splitLeft,[status(thm)],[c_797965]) ).
tff(c_797975,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_797967,c_794989]) ).
tff(c_798003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_797975]) ).
tff(c_798004,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_797965]) ).
tff(c_798048,plain,
product(e_1,e_2,e_2),
inference(splitLeft,[status(thm)],[c_798004]) ).
tff(c_798192,plain,
! [X_10733] :
( product(X_10733,e_1,e_2)
| ~ product(X_10733,e_2,e_1) ),
inference(resolution,[status(thm)],[c_798048,c_124]) ).
tff(c_798196,plain,
product(e_4,e_1,e_2),
inference(resolution,[status(thm)],[c_795778,c_798192]) ).
tff(c_798211,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_798196,c_777962]) ).
tff(c_798274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_798211]) ).
tff(c_798275,plain,
product(e_1,e_2,e_3),
inference(splitRight,[status(thm)],[c_798004]) ).
tff(c_796596,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_3) ),
inference(resolution,[status(thm)],[c_796548,c_122]) ).
tff(c_798281,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_798275,c_796596]) ).
tff(c_798310,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_798281]) ).
tff(c_798455,plain,
! [X_10737] :
( product(X_10737,e_5,e_5)
| ~ product(X_10737,e_2,e_6) ),
inference(splitRight,[status(thm)],[c_795541]) ).
tff(c_795252,plain,
! [W_11,X_10658] :
( equalish(W_11,e_6)
| ~ product(X_10658,W_11,e_5)
| ~ product(X_10658,e_2,e_6) ),
inference(resolution,[status(thm)],[c_795185,c_120]) ).
tff(c_798457,plain,
! [X_10737] :
( equalish(e_5,e_6)
| ~ product(X_10737,e_2,e_6) ),
inference(resolution,[status(thm)],[c_798455,c_795252]) ).
tff(c_798482,plain,
! [X_10737] : ~ product(X_10737,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_104,c_798457]) ).
tff(c_798312,plain,
product(e_5,e_2,e_6),
inference(splitRight,[status(thm)],[c_795541]) ).
tff(c_798502,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_798482,c_798312]) ).
tff(c_798503,plain,
product(e_2,e_5,e_1),
inference(splitRight,[status(thm)],[c_796207]) ).
tff(c_795635,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_1) ),
inference(resolution,[status(thm)],[c_795571,c_120]) ).
tff(c_798509,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_798503,c_795635]) ).
tff(c_798536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_798509]) ).
tff(c_798537,plain,
product(e_2,e_1,e_5),
inference(splitRight,[status(thm)],[c_795603]) ).
tff(c_794722,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_5) ),
inference(resolution,[status(thm)],[c_794679,c_120]) ).
tff(c_798547,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_798537,c_794722]) ).
tff(c_798605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_798547]) ).
tff(c_798606,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_794769]) ).
tff(c_798608,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_798606]) ).
tff(c_798626,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_798608,c_744622]) ).
tff(c_798654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_798626]) ).
tff(c_798655,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_798606]) ).
tff(c_798658,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_798655]) ).
tff(c_798675,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_798658,c_777963]) ).
tff(c_798702,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_798675]) ).
tff(c_798703,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_798655]) ).
tff(c_798724,plain,
( equalish(e_6,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_798703,c_312]) ).
tff(c_798750,plain,
( equalish(e_6,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_798724]) ).
tff(c_798752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_106,c_798750]) ).
tff(c_798753,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_794677]) ).
tff(c_798797,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_798753]) ).
tff(c_798802,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_798797,c_778088]) ).
tff(c_798822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_798802]) ).
tff(c_798823,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_798753]) ).
tff(c_798841,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_798823]) ).
tff(c_798955,plain,
! [X_10744] :
( product(X_10744,e_2,e_4)
| ~ product(X_10744,e_4,e_2) ),
inference(resolution,[status(thm)],[c_798841,c_124]) ).
tff(c_798959,plain,
product(e_6,e_2,e_4),
inference(resolution,[status(thm)],[c_778060,c_798955]) ).
tff(c_798964,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_798959,c_744621]) ).
tff(c_798989,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_798964]) ).
tff(c_798990,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_798823]) ).
tff(c_798997,plain,
( equalish(e_4,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_798990,c_312]) ).
tff(c_799017,plain,
( equalish(e_4,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_798997]) ).
tff(c_799019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_86,c_799017]) ).
tff(c_799020,plain,
product(e_4,e_2,e_2),
inference(splitRight,[status(thm)],[c_778401]) ).
tff(c_799026,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_799020,c_777962]) ).
tff(c_799052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_799026]) ).
tff(c_799053,plain,
( product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5) ),
inference(splitRight,[status(thm)],[c_777911]) ).
tff(c_799055,plain,
product(e_4,e_6,e_5),
inference(splitLeft,[status(thm)],[c_799053]) ).
tff(c_799079,plain,
! [W_10745] :
( equalish(W_10745,e_6)
| ~ product(e_4,W_10745,e_5) ),
inference(resolution,[status(thm)],[c_799055,c_120]) ).
tff(c_799114,plain,
( equalish(e_1,e_6)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_236,c_799079]) ).
tff(c_799141,plain,
( equalish(e_1,e_6)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_799114]) ).
tff(c_799142,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_799141]) ).
tff(c_799804,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_799142]) ).
tff(c_799833,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_799804,c_2268]) ).
tff(c_799888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_799833]) ).
tff(c_799889,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_799142]) ).
tff(c_799915,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_799889]) ).
tff(c_800170,plain,
! [X_10766] :
( product(X_10766,e_4,e_4)
| ~ product(X_10766,e_1,e_4) ),
inference(resolution,[status(thm)],[c_799915,c_124]) ).
tff(c_800015,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_799915,c_120]) ).
tff(c_800174,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_800170,c_800015]) ).
tff(c_800199,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_799915,c_800174]) ).
tff(c_800201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_800199]) ).
tff(c_800202,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_799889]) ).
tff(c_800211,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_800202]) ).
tff(c_800236,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_800211,c_311]) ).
tff(c_800293,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_800236]) ).
tff(c_800294,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_800293]) ).
tff(c_800368,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_800294,c_124]) ).
tff(c_800610,plain,
! [X_10773] :
( product(X_10773,e_4,e_2)
| ~ product(X_10773,e_1,e_4) ),
inference(resolution,[status(thm)],[c_800211,c_124]) ).
tff(c_801048,plain,
! [X_10790,X_10791] :
( product(X_10790,X_10791,e_2)
| ~ product(X_10790,e_4,X_10791)
| ~ product(X_10791,e_1,e_4) ),
inference(resolution,[status(thm)],[c_800610,c_124]) ).
tff(c_801079,plain,
! [X_18] :
( product(X_18,e_3,e_2)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_800368,c_801048]) ).
tff(c_826491,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_801079]) ).
tff(c_826494,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_826491]) ).
tff(c_826497,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_826494]) ).
tff(c_826570,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_826497]) ).
tff(c_826601,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_826570,c_2268]) ).
tff(c_826660,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_826601]) ).
tff(c_826661,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_826497]) ).
tff(c_826701,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_826661]) ).
tff(c_826999,plain,
! [X_11373] :
( product(X_11373,e_3,e_3)
| ~ product(X_11373,e_1,e_3) ),
inference(resolution,[status(thm)],[c_826701,c_124]) ).
tff(c_826814,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_826701,c_120]) ).
tff(c_827003,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_826999,c_826814]) ).
tff(c_827028,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_826701,c_827003]) ).
tff(c_827030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_827028]) ).
tff(c_827031,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_826661]) ).
tff(c_800306,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_2) ),
inference(resolution,[status(thm)],[c_800211,c_122]) ).
tff(c_827048,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_827031,c_800306]) ).
tff(c_827101,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_827048]) ).
tff(c_827103,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_801079]) ).
tff(c_814492,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_801079]) ).
tff(c_814495,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_814492]) ).
tff(c_814498,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_814495]) ).
tff(c_814725,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_814498]) ).
tff(c_814754,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_814725,c_2268]) ).
tff(c_814809,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_814754]) ).
tff(c_814810,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_814498]) ).
tff(c_814857,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_814810]) ).
tff(c_815165,plain,
! [X_11098] :
( product(X_11098,e_3,e_3)
| ~ product(X_11098,e_1,e_3) ),
inference(resolution,[status(thm)],[c_814857,c_124]) ).
tff(c_814968,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_814857,c_120]) ).
tff(c_815169,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_815165,c_814968]) ).
tff(c_815200,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_814857,c_815169]) ).
tff(c_815202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_815200]) ).
tff(c_815203,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_814810]) ).
tff(c_815216,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_815203,c_800306]) ).
tff(c_815262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_815216]) ).
tff(c_815264,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_801079]) ).
tff(c_799272,plain,
! [X_10748] :
( product(X_10748,e_4,e_5)
| ~ product(X_10748,e_6,e_4) ),
inference(resolution,[status(thm)],[c_799055,c_124]) ).
tff(c_799276,plain,
product(e_6,e_4,e_5),
inference(resolution,[status(thm)],[c_744600,c_799272]) ).
tff(c_800303,plain,
! [X_18] :
( product(X_18,e_4,e_2)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_800211,c_124]) ).
tff(c_815365,plain,
! [X_18] :
( product(X_18,e_3,e_4)
| ~ product(X_18,e_1,e_3) ),
inference(resolution,[status(thm)],[c_815264,c_124]) ).
tff(c_800657,plain,
! [X_10774] :
( product(X_10774,e_4,e_3)
| ~ product(X_10774,e_2,e_4) ),
inference(resolution,[status(thm)],[c_800294,c_124]) ).
tff(c_801245,plain,
! [X_10793,X_10794] :
( product(X_10793,X_10794,e_3)
| ~ product(X_10793,e_4,X_10794)
| ~ product(X_10794,e_2,e_4) ),
inference(resolution,[status(thm)],[c_800657,c_124]) ).
tff(c_801276,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_800368,c_801245]) ).
tff(c_816171,plain,
~ product(e_3,e_2,e_4),
inference(splitLeft,[status(thm)],[c_801276]) ).
tff(c_801278,plain,
( product(e_6,e_5,e_3)
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[c_799276,c_801245]) ).
tff(c_801303,plain,
~ product(e_5,e_2,e_4),
inference(splitLeft,[status(thm)],[c_801278]) ).
tff(c_801080,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_800303,c_801048]) ).
tff(c_802398,plain,
~ product(e_2,e_1,e_4),
inference(splitLeft,[status(thm)],[c_801080]) ).
tff(c_800234,plain,
( product(e_4,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_800211,c_219]) ).
tff(c_800289,plain,
( product(e_4,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_800234]) ).
tff(c_800290,plain,
( product(e_4,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_800289]) ).
tff(c_802989,plain,
( product(e_4,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_802398,c_800290]) ).
tff(c_802990,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_802989]) ).
tff(c_801312,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_801079]) ).
tff(c_801315,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_801312]) ).
tff(c_801318,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_801315]) ).
tff(c_801331,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_801318]) ).
tff(c_801360,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_801331,c_2268]) ).
tff(c_801415,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_801360]) ).
tff(c_801416,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_801318]) ).
tff(c_801456,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_801416]) ).
tff(c_801747,plain,
! [X_10800] :
( product(X_10800,e_3,e_3)
| ~ product(X_10800,e_1,e_3) ),
inference(resolution,[status(thm)],[c_801456,c_124]) ).
tff(c_801562,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_801456,c_120]) ).
tff(c_801751,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_801747,c_801562]) ).
tff(c_801776,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_801456,c_801751]) ).
tff(c_801778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_801776]) ).
tff(c_801779,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_801416]) ).
tff(c_801792,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_801779,c_800306]) ).
tff(c_801838,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_801792]) ).
tff(c_801840,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_801079]) ).
tff(c_799486,plain,
! [X_10752] :
( product(X_10752,e_6,e_5)
| ~ product(X_10752,e_4,e_6) ),
inference(resolution,[status(thm)],[c_799276,c_124]) ).
tff(c_799734,plain,
! [X_10761,X_10762] :
( product(X_10761,X_10762,e_5)
| ~ product(X_10761,e_6,X_10762)
| ~ product(X_10762,e_4,e_6) ),
inference(resolution,[status(thm)],[c_799486,c_124]) ).
tff(c_799768,plain,
( product(e_4,e_5,e_5)
| ~ product(e_5,e_4,e_6) ),
inference(resolution,[status(thm)],[c_799055,c_799734]) ).
tff(c_799797,plain,
~ product(e_5,e_4,e_6),
inference(splitLeft,[status(thm)],[c_799768]) ).
tff(c_799800,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_799797]) ).
tff(c_799803,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_50,c_799800]) ).
tff(c_808307,plain,
product(e_5,e_4,e_1),
inference(splitLeft,[status(thm)],[c_799803]) ).
tff(c_800701,plain,
! [X_18,X_10774] :
( product(X_18,X_10774,e_3)
| ~ product(X_18,e_4,X_10774)
| ~ product(X_10774,e_2,e_4) ),
inference(resolution,[status(thm)],[c_800657,c_124]) ).
tff(c_808380,plain,
( product(e_5,e_1,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[c_808307,c_800701]) ).
tff(c_808745,plain,
~ product(e_1,e_2,e_4),
inference(splitLeft,[status(thm)],[c_808380]) ).
tff(c_801081,plain,
( product(e_6,e_5,e_2)
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[c_799276,c_801048]) ).
tff(c_801106,plain,
~ product(e_5,e_1,e_4),
inference(splitLeft,[status(thm)],[c_801081]) ).
tff(c_808575,plain,
! [X_10992] :
( product(X_10992,e_5,e_1)
| ~ product(X_10992,e_4,e_5) ),
inference(resolution,[status(thm)],[c_808307,c_124]) ).
tff(c_808608,plain,
( equalish(e_5,e_1)
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[c_808575,c_2267]) ).
tff(c_808653,plain,
~ product(e_1,e_4,e_5),
inference(negUnitSimplification,[status(thm)],[c_96,c_808608]) ).
tff(c_808802,plain,
! [W_10994,X_10995] :
( equalish(W_10994,e_1)
| ~ product(X_10995,e_5,W_10994)
| ~ product(X_10995,e_4,e_5) ),
inference(resolution,[status(thm)],[c_808575,c_118]) ).
tff(c_808817,plain,
( equalish(e_5,e_1)
| ~ product(e_6,e_4,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_461971,c_808802]) ).
tff(c_808850,plain,
( equalish(e_5,e_1)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_799276,c_808817]) ).
tff(c_808851,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_808850]) ).
tff(c_809587,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_808851]) ).
tff(c_810899,plain,
! [X_11019] :
( product(X_11019,e_6,e_1)
| ~ product(X_11019,e_5,e_6) ),
inference(resolution,[status(thm)],[c_809587,c_124]) ).
tff(c_799538,plain,
! [X_18,X_10752] :
( product(X_18,X_10752,e_5)
| ~ product(X_18,e_6,X_10752)
| ~ product(X_10752,e_4,e_6) ),
inference(resolution,[status(thm)],[c_799486,c_124]) ).
tff(c_810997,plain,
! [X_11019] :
( product(X_11019,e_1,e_5)
| ~ product(e_1,e_4,e_6)
| ~ product(X_11019,e_5,e_6) ),
inference(resolution,[status(thm)],[c_810899,c_799538]) ).
tff(c_811614,plain,
~ product(e_1,e_4,e_6),
inference(splitLeft,[status(thm)],[c_810997]) ).
tff(c_811617,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_811614]) ).
tff(c_811620,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_811617]) ).
tff(c_811621,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_808653,c_811620]) ).
tff(c_811672,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_811621]) ).
tff(c_808407,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_808307,c_122]) ).
tff(c_811679,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_811672,c_808407]) ).
tff(c_811737,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_811679]) ).
tff(c_811738,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_811621]) ).
tff(c_811827,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_811738]) ).
tff(c_811985,plain,
! [X_11044] :
( product(X_11044,e_1,e_4)
| ~ product(X_11044,e_4,e_1) ),
inference(resolution,[status(thm)],[c_811827,c_124]) ).
tff(c_811988,plain,
product(e_5,e_1,e_4),
inference(resolution,[status(thm)],[c_808307,c_811985]) ).
tff(c_811992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_801106,c_811988]) ).
tff(c_811993,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_811738]) ).
tff(c_812172,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_811993]) ).
tff(c_800649,plain,
! [W_14,X_10773] :
( equalish(W_14,X_10773)
| ~ product(W_14,e_4,e_2)
| ~ product(X_10773,e_1,e_4) ),
inference(resolution,[status(thm)],[c_800610,c_122]) ).
tff(c_812367,plain,
! [X_11050] :
( equalish(e_1,X_11050)
| ~ product(X_11050,e_1,e_4) ),
inference(resolution,[status(thm)],[c_812172,c_800649]) ).
tff(c_812370,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_801840,c_812367]) ).
tff(c_812377,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_812370]) ).
tff(c_812378,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_811993]) ).
tff(c_800647,plain,
! [X_18,X_10773] :
( product(X_18,X_10773,e_2)
| ~ product(X_18,e_4,X_10773)
| ~ product(X_10773,e_1,e_4) ),
inference(resolution,[status(thm)],[c_800610,c_124]) ).
tff(c_812480,plain,
( product(e_1,e_3,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_812378,c_800647]) ).
tff(c_812521,plain,
product(e_1,e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_801840,c_812480]) ).
tff(c_802147,plain,
! [X_10805] :
( product(X_10805,e_3,e_4)
| ~ product(X_10805,e_1,e_3) ),
inference(resolution,[status(thm)],[c_801840,c_124]) ).
tff(c_802186,plain,
! [X_18,X_10805] :
( product(X_18,X_10805,e_4)
| ~ product(X_18,e_3,X_10805)
| ~ product(X_10805,e_1,e_3) ),
inference(resolution,[status(thm)],[c_802147,c_124]) ).
tff(c_812553,plain,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_812521,c_802186]) ).
tff(c_812592,plain,
product(e_1,e_2,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_802990,c_812553]) ).
tff(c_812594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_808745,c_812592]) ).
tff(c_812596,plain,
product(e_1,e_4,e_6),
inference(splitRight,[status(thm)],[c_810997]) ).
tff(c_799673,plain,
! [W_10758,X_10759] :
( equalish(W_10758,X_10759)
| ~ product(W_10758,e_6,e_5)
| ~ product(X_10759,e_4,e_6) ),
inference(resolution,[status(thm)],[c_799486,c_122]) ).
tff(c_799702,plain,
! [X_10759] :
( equalish(e_4,X_10759)
| ~ product(X_10759,e_4,e_6) ),
inference(resolution,[status(thm)],[c_799055,c_799673]) ).
tff(c_812609,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_812596,c_799702]) ).
tff(c_812638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_812609]) ).
tff(c_812639,plain,
product(e_5,e_1,e_3),
inference(splitRight,[status(thm)],[c_808380]) ).
tff(c_803110,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_802990,c_122]) ).
tff(c_812683,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_812639,c_803110]) ).
tff(c_812811,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_812683]) ).
tff(c_812812,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_799803]) ).
tff(c_812815,plain,
product(e_5,e_4,e_5),
inference(splitLeft,[status(thm)],[c_812812]) ).
tff(c_799298,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_5) ),
inference(resolution,[status(thm)],[c_799276,c_122]) ).
tff(c_812832,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_812815,c_799298]) ).
tff(c_812860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_812832]) ).
tff(c_812861,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_812812]) ).
tff(c_812992,plain,
product(e_5,e_4,e_2),
inference(splitLeft,[status(thm)],[c_812861]) ).
tff(c_813188,plain,
! [X_11058] :
( equalish(e_5,X_11058)
| ~ product(X_11058,e_1,e_4) ),
inference(resolution,[status(thm)],[c_812992,c_800649]) ).
tff(c_813191,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_801840,c_813188]) ).
tff(c_813198,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_813191]) ).
tff(c_813199,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_812861]) ).
tff(c_813205,plain,
product(e_5,e_4,e_4),
inference(splitLeft,[status(thm)],[c_813199]) ).
tff(c_813542,plain,
! [X_11064] :
( product(X_11064,e_5,e_4)
| ~ product(X_11064,e_4,e_5) ),
inference(resolution,[status(thm)],[c_813205,c_124]) ).
tff(c_813558,plain,
( equalish(e_5,e_6)
| ~ product(e_6,e_4,e_5) ),
inference(resolution,[status(thm)],[c_813542,c_744621]) ).
tff(c_813584,plain,
equalish(e_5,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_799276,c_813558]) ).
tff(c_813586,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_813584]) ).
tff(c_813587,plain,
product(e_5,e_4,e_3),
inference(splitRight,[status(thm)],[c_813199]) ).
tff(c_813598,plain,
( product(e_5,e_3,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_813587,c_800647]) ).
tff(c_813639,plain,
product(e_5,e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_801840,c_813598]) ).
tff(c_813691,plain,
( product(e_5,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_813639,c_802186]) ).
tff(c_813730,plain,
product(e_5,e_2,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_802990,c_813691]) ).
tff(c_813732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_801303,c_813730]) ).
tff(c_813734,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_802989]) ).
tff(c_813737,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_813734]) ).
tff(c_813740,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_813737]) ).
tff(c_813742,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_813740]) ).
tff(c_813744,plain,
product(e_5,e_2,e_4),
inference(splitRight,[status(thm)],[c_801278]) ).
tff(c_814027,plain,
! [X_11071] :
( product(X_11071,e_5,e_4)
| ~ product(X_11071,e_2,e_5) ),
inference(resolution,[status(thm)],[c_813744,c_124]) ).
tff(c_814074,plain,
! [W_11,X_11071] :
( equalish(W_11,e_5)
| ~ product(X_11071,W_11,e_4)
| ~ product(X_11071,e_2,e_5) ),
inference(resolution,[status(thm)],[c_814027,c_120]) ).
tff(c_815266,plain,
( equalish(e_1,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[c_815264,c_814074]) ).
tff(c_815315,plain,
~ product(e_3,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_62,c_815266]) ).
tff(c_813743,plain,
product(e_6,e_5,e_3),
inference(splitRight,[status(thm)],[c_801278]) ).
tff(c_813780,plain,
! [X_18] :
( product(X_18,e_6,e_3)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_813743,c_124]) ).
tff(c_799299,plain,
! [W_8] :
( equalish(W_8,e_5)
| ~ product(e_6,e_4,W_8) ),
inference(resolution,[status(thm)],[c_799276,c_118]) ).
tff(c_800665,plain,
( equalish(e_3,e_5)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_800657,c_799299]) ).
tff(c_800687,plain,
~ product(e_6,e_2,e_4),
inference(negUnitSimplification,[status(thm)],[c_82,c_800665]) ).
tff(c_813783,plain,
! [W_8] :
( equalish(W_8,e_3)
| ~ product(e_6,e_5,W_8) ),
inference(resolution,[status(thm)],[c_813743,c_118]) ).
tff(c_814031,plain,
( equalish(e_4,e_3)
| ~ product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[c_814027,c_813783]) ).
tff(c_814056,plain,
~ product(e_6,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_90,c_814031]) ).
tff(c_814085,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_461971,c_814056]) ).
tff(c_814108,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_814085]) ).
tff(c_814109,plain,
( product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_800687,c_814108]) ).
tff(c_816478,plain,
product(e_6,e_2,e_1),
inference(splitLeft,[status(thm)],[c_814109]) ).
tff(c_816801,plain,
! [X_11138] :
( product(X_11138,e_6,e_1)
| ~ product(X_11138,e_2,e_6) ),
inference(resolution,[status(thm)],[c_816478,c_124]) ).
tff(c_817080,plain,
! [X_11148,X_11149] :
( product(X_11148,X_11149,e_1)
| ~ product(X_11148,e_6,X_11149)
| ~ product(X_11149,e_2,e_6) ),
inference(resolution,[status(thm)],[c_816801,c_124]) ).
tff(c_817118,plain,
! [X_18] :
( product(X_18,e_3,e_1)
| ~ product(e_3,e_2,e_6)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_813780,c_817080]) ).
tff(c_817193,plain,
~ product(e_3,e_2,e_6),
inference(splitLeft,[status(thm)],[c_817118]) ).
tff(c_817196,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_817193]) ).
tff(c_817199,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_46,c_817196]) ).
tff(c_817200,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_816171,c_815315,c_817199]) ).
tff(c_817201,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_817200]) ).
tff(c_816532,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_816478,c_122]) ).
tff(c_817206,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_817201,c_816532]) ).
tff(c_817236,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_817206]) ).
tff(c_817237,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(splitRight,[status(thm)],[c_817200]) ).
tff(c_817239,plain,
product(e_3,e_2,e_3),
inference(splitLeft,[status(thm)],[c_817237]) ).
tff(c_800370,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_2,e_3) ),
inference(resolution,[status(thm)],[c_800294,c_122]) ).
tff(c_817246,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_817239,c_800370]) ).
tff(c_817277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_817246]) ).
tff(c_817278,plain,
product(e_3,e_2,e_2),
inference(splitRight,[status(thm)],[c_817237]) ).
tff(c_800648,plain,
! [W_11,X_10773] :
( equalish(W_11,e_4)
| ~ product(X_10773,W_11,e_2)
| ~ product(X_10773,e_1,e_4) ),
inference(resolution,[status(thm)],[c_800610,c_120]) ).
tff(c_817289,plain,
( equalish(e_2,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_817278,c_800648]) ).
tff(c_817313,plain,
equalish(e_2,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_815264,c_817289]) ).
tff(c_817315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_817313]) ).
tff(c_817317,plain,
product(e_3,e_2,e_6),
inference(splitRight,[status(thm)],[c_817118]) ).
tff(c_817493,plain,
! [X_11157] :
( product(X_11157,e_3,e_6)
| ~ product(X_11157,e_2,e_3) ),
inference(resolution,[status(thm)],[c_817317,c_124]) ).
tff(c_817676,plain,
! [X_11166,X_11167] :
( product(X_11166,X_11167,e_6)
| ~ product(X_11166,e_3,X_11167)
| ~ product(X_11167,e_2,e_3) ),
inference(resolution,[status(thm)],[c_817493,c_124]) ).
tff(c_817682,plain,
! [X_18] :
( product(X_18,e_4,e_6)
| ~ product(e_4,e_2,e_3)
| ~ product(X_18,e_1,e_3) ),
inference(resolution,[status(thm)],[c_815365,c_817676]) ).
tff(c_817737,plain,
! [X_11168] :
( product(X_11168,e_4,e_6)
| ~ product(X_11168,e_1,e_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_800294,c_817682]) ).
tff(c_817993,plain,
! [X_11179,X_11180] :
( product(X_11179,X_11180,e_6)
| ~ product(X_11179,e_4,X_11180)
| ~ product(X_11180,e_1,e_3) ),
inference(resolution,[status(thm)],[c_817737,c_124]) ).
tff(c_818028,plain,
! [X_18] :
( product(X_18,e_2,e_6)
| ~ product(e_2,e_1,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_800303,c_817993]) ).
tff(c_818056,plain,
~ product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_818028]) ).
tff(c_818059,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_818056]) ).
tff(c_818062,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_818059]) ).
tff(c_818064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_818062]) ).
tff(c_818066,plain,
product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_818028]) ).
tff(c_799077,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_6,e_5) ),
inference(resolution,[status(thm)],[c_799055,c_122]) ).
tff(c_799525,plain,
! [X_10752] :
( equalish(X_10752,e_4)
| ~ product(X_10752,e_4,e_6) ),
inference(resolution,[status(thm)],[c_799486,c_799077]) ).
tff(c_817811,plain,
! [X_11168] :
( equalish(X_11168,e_4)
| ~ product(X_11168,e_1,e_3) ),
inference(resolution,[status(thm)],[c_817737,c_799525]) ).
tff(c_818069,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_818066,c_817811]) ).
tff(c_818129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_818069]) ).
tff(c_818130,plain,
( product(e_6,e_2,e_2)
| product(e_6,e_2,e_3) ),
inference(splitRight,[status(thm)],[c_814109]) ).
tff(c_818132,plain,
product(e_6,e_2,e_3),
inference(splitLeft,[status(thm)],[c_818130]) ).
tff(c_813781,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_3) ),
inference(resolution,[status(thm)],[c_813743,c_120]) ).
tff(c_818137,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_818132,c_813781]) ).
tff(c_818171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_818137]) ).
tff(c_818172,plain,
product(e_6,e_2,e_2),
inference(splitRight,[status(thm)],[c_818130]) ).
tff(c_818470,plain,
! [X_11186] :
( product(X_11186,e_6,e_2)
| ~ product(X_11186,e_2,e_6) ),
inference(resolution,[status(thm)],[c_818172,c_124]) ).
tff(c_818734,plain,
! [X_11197,X_11198] :
( product(X_11197,X_11198,e_2)
| ~ product(X_11197,e_6,X_11198)
| ~ product(X_11198,e_2,e_6) ),
inference(resolution,[status(thm)],[c_818470,c_124]) ).
tff(c_818772,plain,
! [X_18] :
( product(X_18,e_3,e_2)
| ~ product(e_3,e_2,e_6)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_813780,c_818734]) ).
tff(c_818824,plain,
~ product(e_3,e_2,e_6),
inference(splitLeft,[status(thm)],[c_818772]) ).
tff(c_818827,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_818824]) ).
tff(c_818830,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_46,c_818827]) ).
tff(c_818831,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_816171,c_815315,c_818830]) ).
tff(c_818840,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_818831]) ).
tff(c_819026,plain,
! [X_11202] :
( product(X_11202,e_3,e_1)
| ~ product(X_11202,e_2,e_3) ),
inference(resolution,[status(thm)],[c_818840,c_124]) ).
tff(c_819275,plain,
! [X_11213,X_11214] :
( product(X_11213,X_11214,e_1)
| ~ product(X_11213,e_3,X_11214)
| ~ product(X_11214,e_2,e_3) ),
inference(resolution,[status(thm)],[c_819026,c_124]) ).
tff(c_819281,plain,
! [X_18] :
( product(X_18,e_4,e_1)
| ~ product(e_4,e_2,e_3)
| ~ product(X_18,e_1,e_3) ),
inference(resolution,[status(thm)],[c_815365,c_819275]) ).
tff(c_819335,plain,
! [X_11215] :
( product(X_11215,e_4,e_1)
| ~ product(X_11215,e_1,e_3) ),
inference(demodulation,[status(thm),theory(equality)],[c_800294,c_819281]) ).
tff(c_819579,plain,
! [X_11224,X_11225] :
( product(X_11224,X_11225,e_1)
| ~ product(X_11224,e_4,X_11225)
| ~ product(X_11225,e_1,e_3) ),
inference(resolution,[status(thm)],[c_819335,c_124]) ).
tff(c_819614,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_800303,c_819579]) ).
tff(c_819648,plain,
~ product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_819614]) ).
tff(c_819651,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_819648]) ).
tff(c_819654,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_819651]) ).
tff(c_819656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_819654]) ).
tff(c_819970,plain,
! [X_11229] :
( product(X_11229,e_2,e_1)
| ~ product(X_11229,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_819614]) ).
tff(c_821407,plain,
! [X_11254,X_11255] :
( product(X_11254,X_11255,e_1)
| ~ product(X_11254,e_2,X_11255)
| ~ product(X_11255,e_1,e_4) ),
inference(resolution,[status(thm)],[c_819970,c_124]) ).
tff(c_821419,plain,
( product(e_4,e_3,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_800294,c_821407]) ).
tff(c_821456,plain,
product(e_4,e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_815264,c_821419]) ).
tff(c_821857,plain,
! [X_11261] :
( product(X_11261,e_4,e_1)
| ~ product(X_11261,e_3,e_4) ),
inference(resolution,[status(thm)],[c_821456,c_124]) ).
tff(c_821892,plain,
( equalish(e_1,e_5)
| ~ product(e_6,e_3,e_4) ),
inference(resolution,[status(thm)],[c_821857,c_799299]) ).
tff(c_821944,plain,
~ product(e_6,e_3,e_4),
inference(negUnitSimplification,[status(thm)],[c_62,c_821892]) ).
tff(c_819658,plain,
product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_819614]) ).
tff(c_820073,plain,
! [X_11230] :
( product(X_11230,e_2,e_3)
| ~ product(X_11230,e_1,e_2) ),
inference(resolution,[status(thm)],[c_819658,c_124]) ).
tff(c_822346,plain,
! [X_11283,X_11284] :
( product(X_11283,X_11284,e_3)
| ~ product(X_11283,e_2,X_11284)
| ~ product(X_11284,e_1,e_2) ),
inference(resolution,[status(thm)],[c_820073,c_124]) ).
tff(c_822356,plain,
( product(e_5,e_4,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c_813744,c_822346]) ).
tff(c_822393,plain,
product(e_5,e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_800211,c_822356]) ).
tff(c_822436,plain,
( product(e_5,e_3,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_822393,c_800647]) ).
tff(c_822476,plain,
product(e_5,e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_815264,c_822436]) ).
tff(c_823240,plain,
! [X_11297] :
( product(X_11297,e_5,e_2)
| ~ product(X_11297,e_3,e_5) ),
inference(resolution,[status(thm)],[c_822476,c_124]) ).
tff(c_823261,plain,
( equalish(e_2,e_3)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_823240,c_813783]) ).
tff(c_823300,plain,
~ product(e_6,e_3,e_5),
inference(negUnitSimplification,[status(thm)],[c_68,c_823261]) ).
tff(c_823371,plain,
( product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_461971,c_823300]) ).
tff(c_823394,plain,
( product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_823371]) ).
tff(c_823395,plain,
( product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_821944,c_823394]) ).
tff(c_824890,plain,
product(e_6,e_3,e_1),
inference(splitLeft,[status(thm)],[c_823395]) ).
tff(c_821569,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_821456,c_122]) ).
tff(c_824906,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_824890,c_821569]) ).
tff(c_824964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_824906]) ).
tff(c_824965,plain,
( product(e_6,e_3,e_2)
| product(e_6,e_3,e_3) ),
inference(splitRight,[status(thm)],[c_823395]) ).
tff(c_824975,plain,
product(e_6,e_3,e_3),
inference(splitLeft,[status(thm)],[c_824965]) ).
tff(c_822861,plain,
! [X_11292] :
( product(X_11292,e_5,e_3)
| ~ product(X_11292,e_4,e_5) ),
inference(resolution,[status(thm)],[c_822393,c_124]) ).
tff(c_822955,plain,
! [W_11,X_11292] :
( equalish(W_11,e_5)
| ~ product(X_11292,W_11,e_3)
| ~ product(X_11292,e_4,e_5) ),
inference(resolution,[status(thm)],[c_822861,c_120]) ).
tff(c_824981,plain,
( equalish(e_3,e_5)
| ~ product(e_6,e_4,e_5) ),
inference(resolution,[status(thm)],[c_824975,c_822955]) ).
tff(c_825033,plain,
equalish(e_3,e_5),
inference(demodulation,[status(thm),theory(equality)],[c_799276,c_824981]) ).
tff(c_825035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_825033]) ).
tff(c_825036,plain,
product(e_6,e_3,e_2),
inference(splitRight,[status(thm)],[c_824965]) ).
tff(c_822581,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_3,e_2) ),
inference(resolution,[status(thm)],[c_822476,c_122]) ).
tff(c_825046,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_825036,c_822581]) ).
tff(c_825101,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_825046]) ).
tff(c_825102,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(splitRight,[status(thm)],[c_818831]) ).
tff(c_825104,plain,
product(e_3,e_2,e_3),
inference(splitLeft,[status(thm)],[c_825102]) ).
tff(c_825111,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_825104,c_800370]) ).
tff(c_825142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_825111]) ).
tff(c_825143,plain,
product(e_3,e_2,e_2),
inference(splitRight,[status(thm)],[c_825102]) ).
tff(c_818357,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_818172,c_122]) ).
tff(c_825155,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_825143,c_818357]) ).
tff(c_825184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_825155]) ).
tff(c_825186,plain,
product(e_3,e_2,e_6),
inference(splitRight,[status(thm)],[c_818772]) ).
tff(c_818483,plain,
! [X_11186] :
( equalish(e_6,e_4)
| ~ product(X_11186,e_1,e_4)
| ~ product(X_11186,e_2,e_6) ),
inference(resolution,[status(thm)],[c_818470,c_800648]) ).
tff(c_818533,plain,
! [X_11186] :
( ~ product(X_11186,e_1,e_4)
| ~ product(X_11186,e_2,e_6) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_818483]) ).
tff(c_825192,plain,
~ product(e_3,e_1,e_4),
inference(resolution,[status(thm)],[c_825186,c_818533]) ).
tff(c_825218,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_815264,c_825192]) ).
tff(c_825220,plain,
product(e_3,e_2,e_4),
inference(splitRight,[status(thm)],[c_801276]) ).
tff(c_815367,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_4) ),
inference(resolution,[status(thm)],[c_815264,c_120]) ).
tff(c_825228,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_825220,c_815367]) ).
tff(c_825262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_825228]) ).
tff(c_825264,plain,
product(e_5,e_1,e_4),
inference(splitRight,[status(thm)],[c_801081]) ).
tff(c_825416,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_825264,c_122]) ).
tff(c_827110,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_827103,c_825416]) ).
tff(c_827167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_827110]) ).
tff(c_827168,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_800202]) ).
tff(c_827267,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_827168,c_124]) ).
tff(c_827438,plain,
! [X_11377] :
( product(X_11377,e_4,e_3)
| ~ product(X_11377,e_1,e_4) ),
inference(resolution,[status(thm)],[c_827168,c_124]) ).
tff(c_827587,plain,
! [X_11384,X_11385] :
( product(X_11384,X_11385,e_3)
| ~ product(X_11384,e_4,X_11385)
| ~ product(X_11385,e_1,e_4) ),
inference(resolution,[status(thm)],[c_827438,c_124]) ).
tff(c_827616,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_827267,c_827587]) ).
tff(c_827649,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_827616]) ).
tff(c_827652,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_827649]) ).
tff(c_827655,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_827652]) ).
tff(c_827656,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_827655]) ).
tff(c_827685,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_827656,c_2268]) ).
tff(c_827740,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_827685]) ).
tff(c_827741,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_827655]) ).
tff(c_827767,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_827741]) ).
tff(c_827270,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_827168,c_122]) ).
tff(c_827772,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_827767,c_827270]) ).
tff(c_827823,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_827772]) ).
tff(c_827824,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_827741]) ).
tff(c_827857,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_827824,c_311]) ).
tff(c_827914,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_827857]) ).
tff(c_827915,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_827914]) ).
tff(c_828277,plain,
! [X_11393] :
( product(X_11393,e_3,e_3)
| ~ product(X_11393,e_2,e_3) ),
inference(resolution,[status(thm)],[c_827915,c_124]) ).
tff(c_827995,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_827915,c_120]) ).
tff(c_828281,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_828277,c_827995]) ).
tff(c_828306,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_827915,c_828281]) ).
tff(c_828308,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_828306]) ).
tff(c_828562,plain,
! [X_11397] :
( product(X_11397,e_3,e_3)
| ~ product(X_11397,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_827616]) ).
tff(c_827480,plain,
! [W_11,X_11377] :
( equalish(W_11,e_4)
| ~ product(X_11377,W_11,e_3)
| ~ product(X_11377,e_1,e_4) ),
inference(resolution,[status(thm)],[c_827438,c_120]) ).
tff(c_828564,plain,
! [X_11397] :
( equalish(e_3,e_4)
| ~ product(X_11397,e_1,e_4) ),
inference(resolution,[status(thm)],[c_828562,c_827480]) ).
tff(c_828587,plain,
! [X_11397] : ~ product(X_11397,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_80,c_828564]) ).
tff(c_828310,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_827616]) ).
tff(c_828608,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_828587,c_828310]) ).
tff(c_828609,plain,
product(e_4,e_5,e_5),
inference(splitRight,[status(thm)],[c_799768]) ).
tff(c_799076,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_4,W_11,e_5) ),
inference(resolution,[status(thm)],[c_799055,c_120]) ).
tff(c_828615,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_828609,c_799076]) ).
tff(c_828634,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_828615]) ).
tff(c_828635,plain,
( product(e_4,e_6,e_4)
| product(e_4,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_799053]) ).
tff(c_828686,plain,
product(e_4,e_6,e_3),
inference(splitLeft,[status(thm)],[c_828635]) ).
tff(c_828822,plain,
! [X_11401] :
( product(X_11401,e_4,e_3)
| ~ product(X_11401,e_6,e_4) ),
inference(resolution,[status(thm)],[c_828686,c_124]) ).
tff(c_828826,plain,
product(e_6,e_4,e_3),
inference(resolution,[status(thm)],[c_744600,c_828822]) ).
tff(c_828961,plain,
! [X_11405] :
( product(X_11405,e_6,e_3)
| ~ product(X_11405,e_4,e_6) ),
inference(resolution,[status(thm)],[c_828826,c_124]) ).
tff(c_829155,plain,
! [X_11414,X_11415] :
( product(X_11414,X_11415,e_3)
| ~ product(X_11414,e_6,X_11415)
| ~ product(X_11415,e_4,e_6) ),
inference(resolution,[status(thm)],[c_828961,c_124]) ).
tff(c_829189,plain,
( product(e_4,e_3,e_3)
| ~ product(e_3,e_4,e_6) ),
inference(resolution,[status(thm)],[c_828686,c_829155]) ).
tff(c_829218,plain,
~ product(e_3,e_4,e_6),
inference(splitLeft,[status(thm)],[c_829189]) ).
tff(c_829221,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_829218]) ).
tff(c_829224,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_50,c_829221]) ).
tff(c_829270,plain,
product(e_3,e_4,e_1),
inference(splitLeft,[status(thm)],[c_829224]) ).
tff(c_829425,plain,
! [X_11426] :
( product(X_11426,e_3,e_1)
| ~ product(X_11426,e_4,e_3) ),
inference(resolution,[status(thm)],[c_829270,c_124]) ).
tff(c_829429,plain,
product(e_6,e_3,e_1),
inference(resolution,[status(thm)],[c_828826,c_829425]) ).
tff(c_829592,plain,
! [X_11430] :
( product(X_11430,e_6,e_1)
| ~ product(X_11430,e_3,e_6) ),
inference(resolution,[status(thm)],[c_829429,c_124]) ).
tff(c_829019,plain,
! [X_18,X_11405] :
( product(X_18,X_11405,e_3)
| ~ product(X_18,e_6,X_11405)
| ~ product(X_11405,e_4,e_6) ),
inference(resolution,[status(thm)],[c_828961,c_124]) ).
tff(c_829654,plain,
! [X_11430] :
( product(X_11430,e_1,e_3)
| ~ product(e_1,e_4,e_6)
| ~ product(X_11430,e_3,e_6) ),
inference(resolution,[status(thm)],[c_829592,c_829019]) ).
tff(c_829931,plain,
~ product(e_1,e_4,e_6),
inference(splitLeft,[status(thm)],[c_829654]) ).
tff(c_829934,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_829931]) ).
tff(c_829937,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_829934]) ).
tff(c_829938,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_829937]) ).
tff(c_829317,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_829270,c_122]) ).
tff(c_829943,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_829938,c_829317]) ).
tff(c_829973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_829943]) ).
tff(c_829974,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_829937]) ).
tff(c_829976,plain,
product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_829974]) ).
tff(c_830181,plain,
! [X_11445] :
( product(X_11445,e_1,e_5)
| ~ product(X_11445,e_4,e_1) ),
inference(resolution,[status(thm)],[c_829976,c_124]) ).
tff(c_830185,plain,
product(e_3,e_1,e_5),
inference(resolution,[status(thm)],[c_829270,c_830181]) ).
tff(c_830215,plain,
~ next(e_3,e_4),
inference(resolution,[status(thm)],[c_830185,c_163]) ).
tff(c_830278,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_830215]) ).
tff(c_830279,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_829974]) ).
tff(c_830323,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_830279]) ).
tff(c_830435,plain,
! [X_11449] :
( product(X_11449,e_1,e_2)
| ~ product(X_11449,e_4,e_1) ),
inference(resolution,[status(thm)],[c_830323,c_124]) ).
tff(c_830439,plain,
product(e_3,e_1,e_2),
inference(resolution,[status(thm)],[c_829270,c_830435]) ).
tff(c_830464,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_830439,c_311]) ).
tff(c_830519,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_830464]) ).
tff(c_830520,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_830519]) ).
tff(c_830941,plain,
! [X_11459] :
( product(X_11459,e_3,e_3)
| ~ product(X_11459,e_2,e_3) ),
inference(resolution,[status(thm)],[c_830520,c_124]) ).
tff(c_830584,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_830520,c_120]) ).
tff(c_830945,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_830941,c_830584]) ).
tff(c_830978,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_830520,c_830945]) ).
tff(c_830980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_830978]) ).
tff(c_830981,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_830279]) ).
tff(c_830983,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_830981]) ).
tff(c_831103,plain,
! [X_11465] :
( product(X_11465,e_1,e_4)
| ~ product(X_11465,e_4,e_1) ),
inference(resolution,[status(thm)],[c_830983,c_124]) ).
tff(c_831107,plain,
product(e_3,e_1,e_4),
inference(resolution,[status(thm)],[c_829270,c_831103]) ).
tff(c_831234,plain,
! [X_18] :
( product(X_18,e_3,e_4)
| ~ product(X_18,e_1,e_3) ),
inference(resolution,[status(thm)],[c_831107,c_124]) ).
tff(c_831389,plain,
! [X_11471] :
( product(X_11471,e_3,e_4)
| ~ product(X_11471,e_1,e_3) ),
inference(resolution,[status(thm)],[c_831107,c_124]) ).
tff(c_831565,plain,
! [X_11478,X_11479] :
( product(X_11478,X_11479,e_4)
| ~ product(X_11478,e_3,X_11479)
| ~ product(X_11479,e_1,e_3) ),
inference(resolution,[status(thm)],[c_831389,c_124]) ).
tff(c_831594,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_1,e_3)
| ~ product(X_18,e_1,e_3) ),
inference(resolution,[status(thm)],[c_831234,c_831565]) ).
tff(c_831620,plain,
~ product(e_4,e_1,e_3),
inference(splitLeft,[status(thm)],[c_831594]) ).
tff(c_828721,plain,
! [W_8] :
( equalish(W_8,e_3)
| ~ product(e_4,e_6,W_8) ),
inference(resolution,[status(thm)],[c_828686,c_118]) ).
tff(c_829611,plain,
( equalish(e_1,e_3)
| ~ product(e_4,e_3,e_6) ),
inference(resolution,[status(thm)],[c_829592,c_828721]) ).
tff(c_829660,plain,
~ product(e_4,e_3,e_6),
inference(negUnitSimplification,[status(thm)],[c_58,c_829611]) ).
tff(c_829703,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_829660]) ).
tff(c_829706,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_48,c_829703]) ).
tff(c_834342,plain,
product(e_4,e_3,e_1),
inference(splitLeft,[status(thm)],[c_829706]) ).
tff(c_829476,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_829429,c_122]) ).
tff(c_834352,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_834342,c_829476]) ).
tff(c_834382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_834352]) ).
tff(c_834383,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_829706]) ).
tff(c_834385,plain,
product(e_4,e_3,e_5),
inference(splitLeft,[status(thm)],[c_834383]) ).
tff(c_834392,plain,
( equalish(e_3,e_1)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_834385,c_1940]) ).
tff(c_834410,plain,
( equalish(e_3,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_834392]) ).
tff(c_834411,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_831620,c_76,c_834410]) ).
tff(c_834949,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_834411]) ).
tff(c_834984,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_834949,c_2268]) ).
tff(c_835048,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_834984]) ).
tff(c_835049,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_834411]) ).
tff(c_835075,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_835049]) ).
tff(c_831237,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_831107,c_122]) ).
tff(c_835082,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_835075,c_831237]) ).
tff(c_835138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_835082]) ).
tff(c_835139,plain,
product(e_4,e_1,e_2),
inference(splitRight,[status(thm)],[c_835049]) ).
tff(c_835174,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_835139,c_311]) ).
tff(c_835235,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_835174]) ).
tff(c_835236,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_835235]) ).
tff(c_828719,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_4,W_11,e_3) ),
inference(resolution,[status(thm)],[c_828686,c_120]) ).
tff(c_835254,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_835236,c_828719]) ).
tff(c_835284,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_835254]) ).
tff(c_835285,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_834383]) ).
tff(c_835329,plain,
product(e_4,e_3,e_2),
inference(splitLeft,[status(thm)],[c_835285]) ).
tff(c_831442,plain,
! [X_18,X_11471] :
( product(X_18,X_11471,e_4)
| ~ product(X_18,e_3,X_11471)
| ~ product(X_11471,e_1,e_3) ),
inference(resolution,[status(thm)],[c_831389,c_124]) ).
tff(c_835349,plain,
( product(e_4,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_835329,c_831442]) ).
tff(c_835527,plain,
~ product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_835349]) ).
tff(c_835530,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_835527]) ).
tff(c_835533,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_835530]) ).
tff(c_835535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_835533]) ).
tff(c_835536,plain,
product(e_4,e_2,e_4),
inference(splitRight,[status(thm)],[c_835349]) ).
tff(c_836161,plain,
! [X_11562] :
( product(X_11562,e_4,e_4)
| ~ product(X_11562,e_2,e_4) ),
inference(resolution,[status(thm)],[c_835536,c_124]) ).
tff(c_835789,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_835536,c_120]) ).
tff(c_836165,plain,
( equalish(e_4,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c_836161,c_835789]) ).
tff(c_836211,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_835536,c_836165]) ).
tff(c_836213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_836211]) ).
tff(c_836214,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_835285]) ).
tff(c_836216,plain,
product(e_4,e_3,e_4),
inference(splitLeft,[status(thm)],[c_836214]) ).
tff(c_836365,plain,
! [X_11567] :
( product(X_11567,e_4,e_4)
| ~ product(X_11567,e_3,e_4) ),
inference(resolution,[status(thm)],[c_836216,c_124]) ).
tff(c_836259,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_836216,c_120]) ).
tff(c_836369,plain,
( equalish(e_4,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[c_836365,c_836259]) ).
tff(c_836415,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_836216,c_836369]) ).
tff(c_836417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_836415]) ).
tff(c_836418,plain,
product(e_4,e_3,e_3),
inference(splitRight,[status(thm)],[c_836214]) ).
tff(c_829316,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_3,W_11,e_1) ),
inference(resolution,[status(thm)],[c_829270,c_120]) ).
tff(c_829600,plain,
( equalish(e_6,e_4)
| ~ product(e_3,e_3,e_6) ),
inference(resolution,[status(thm)],[c_829592,c_829316]) ).
tff(c_829650,plain,
~ product(e_3,e_3,e_6),
inference(negUnitSimplification,[status(thm)],[c_112,c_829600]) ).
tff(c_829697,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_829650]) ).
tff(c_829700,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_829697]) ).
tff(c_831627,plain,
product(e_3,e_3,e_1),
inference(splitLeft,[status(thm)],[c_829700]) ).
tff(c_831684,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_831627,c_829476]) ).
tff(c_831718,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_831684]) ).
tff(c_831719,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_829700]) ).
tff(c_831721,plain,
product(e_3,e_3,e_5),
inference(splitLeft,[status(thm)],[c_831719]) ).
tff(c_831766,plain,
! [W_11484] :
( equalish(W_11484,e_3)
| ~ product(e_3,W_11484,e_5) ),
inference(resolution,[status(thm)],[c_831721,c_120]) ).
tff(c_831777,plain,
( equalish(e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_744838,c_831766]) ).
tff(c_831809,plain,
( equalish(e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_831777]) ).
tff(c_831810,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_110,c_831809]) ).
tff(c_832342,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_831810]) ).
tff(c_832354,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_832342,c_829316]) ).
tff(c_832390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_832354]) ).
tff(c_832391,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_831810]) ).
tff(c_832397,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_832391]) ).
tff(c_831236,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_4) ),
inference(resolution,[status(thm)],[c_831107,c_120]) ).
tff(c_832402,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_832397,c_831236]) ).
tff(c_832438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_832402]) ).
tff(c_832439,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_832391]) ).
tff(c_832441,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_832439]) ).
tff(c_832589,plain,
! [X_11504] :
( product(X_11504,e_3,e_2)
| ~ product(X_11504,e_6,e_3) ),
inference(resolution,[status(thm)],[c_832441,c_124]) ).
tff(c_832597,plain,
product(e_4,e_3,e_2),
inference(resolution,[status(thm)],[c_828686,c_832589]) ).
tff(c_832624,plain,
( product(e_4,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_832597,c_831442]) ).
tff(c_833092,plain,
~ product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_832624]) ).
tff(c_833095,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_833092]) ).
tff(c_833098,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_833095]) ).
tff(c_833100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_833098]) ).
tff(c_833101,plain,
product(e_4,e_2,e_4),
inference(splitRight,[status(thm)],[c_832624]) ).
tff(c_833619,plain,
! [X_11523] :
( product(X_11523,e_4,e_4)
| ~ product(X_11523,e_2,e_4) ),
inference(resolution,[status(thm)],[c_833101,c_124]) ).
tff(c_833266,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_833101,c_120]) ).
tff(c_833623,plain,
( equalish(e_4,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c_833619,c_833266]) ).
tff(c_833672,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_833101,c_833623]) ).
tff(c_833674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_833672]) ).
tff(c_833675,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_832439]) ).
tff(c_828720,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_6,e_3) ),
inference(resolution,[status(thm)],[c_828686,c_122]) ).
tff(c_833693,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_833675,c_828720]) ).
tff(c_833723,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_833693]) ).
tff(c_833724,plain,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_831719]) ).
tff(c_833768,plain,
product(e_3,e_3,e_2),
inference(splitLeft,[status(thm)],[c_833724]) ).
tff(c_833788,plain,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_833768,c_831442]) ).
tff(c_833942,plain,
~ product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_833788]) ).
tff(c_833945,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_833942]) ).
tff(c_833948,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_833945]) ).
tff(c_833950,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_833948]) ).
tff(c_833951,plain,
product(e_3,e_2,e_4),
inference(splitRight,[status(thm)],[c_833788]) ).
tff(c_834066,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_833951,c_831236]) ).
tff(c_834091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_834066]) ).
tff(c_834092,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_833724]) ).
tff(c_834141,plain,
product(e_3,e_3,e_4),
inference(splitLeft,[status(thm)],[c_834092]) ).
tff(c_834153,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_834141,c_831236]) ).
tff(c_834177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_834153]) ).
tff(c_834178,plain,
product(e_3,e_3,e_3),
inference(splitRight,[status(thm)],[c_834092]) ).
tff(c_834238,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_3,e_3) ),
inference(resolution,[status(thm)],[c_834178,c_122]) ).
tff(c_836426,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_836418,c_834238]) ).
tff(c_836456,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_836426]) ).
tff(c_836458,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_831594]) ).
tff(c_836463,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_836458,c_828719]) ).
tff(c_836515,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_836463]) ).
tff(c_836516,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_830981]) ).
tff(c_828860,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_3) ),
inference(resolution,[status(thm)],[c_828826,c_122]) ).
tff(c_836525,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_836516,c_828860]) ).
tff(c_836548,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_836525]) ).
tff(c_836550,plain,
product(e_1,e_4,e_6),
inference(splitRight,[status(thm)],[c_829654]) ).
tff(c_829055,plain,
! [W_11409,X_11410] :
( equalish(W_11409,X_11410)
| ~ product(W_11409,e_6,e_3)
| ~ product(X_11410,e_4,e_6) ),
inference(resolution,[status(thm)],[c_828961,c_122]) ).
tff(c_829061,plain,
! [X_11410] :
( equalish(e_4,X_11410)
| ~ product(X_11410,e_4,e_6) ),
inference(resolution,[status(thm)],[c_828686,c_829055]) ).
tff(c_836562,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_836550,c_829061]) ).
tff(c_836592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_836562]) ).
tff(c_836593,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_829224]) ).
tff(c_836595,plain,
product(e_3,e_4,e_5),
inference(splitLeft,[status(thm)],[c_836593]) ).
tff(c_836713,plain,
! [W_11571] :
( equalish(W_11571,e_4)
| ~ product(e_3,W_11571,e_5) ),
inference(resolution,[status(thm)],[c_836595,c_120]) ).
tff(c_836724,plain,
( equalish(e_6,e_4)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_744838,c_836713]) ).
tff(c_836756,plain,
( equalish(e_6,e_4)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_836724]) ).
tff(c_836757,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_836756]) ).
tff(c_837505,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_836757]) ).
tff(c_837696,plain,
! [X_11593] :
( product(X_11593,e_3,e_1)
| ~ product(X_11593,e_6,e_3) ),
inference(resolution,[status(thm)],[c_837505,c_124]) ).
tff(c_837704,plain,
product(e_4,e_3,e_1),
inference(resolution,[status(thm)],[c_828686,c_837696]) ).
tff(c_837874,plain,
! [X_11598] :
( product(X_11598,e_4,e_1)
| ~ product(X_11598,e_3,e_4) ),
inference(resolution,[status(thm)],[c_837704,c_124]) ).
tff(c_837906,plain,
( equalish(e_4,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[c_837874,c_2267]) ).
tff(c_837946,plain,
~ product(e_1,e_3,e_4),
inference(negUnitSimplification,[status(thm)],[c_86,c_837906]) ).
tff(c_836894,plain,
! [X_11574] :
( product(X_11574,e_3,e_5)
| ~ product(X_11574,e_4,e_3) ),
inference(resolution,[status(thm)],[c_836595,c_124]) ).
tff(c_836898,plain,
product(e_6,e_3,e_5),
inference(resolution,[status(thm)],[c_828826,c_836894]) ).
tff(c_837108,plain,
! [X_11578] :
( product(X_11578,e_6,e_5)
| ~ product(X_11578,e_3,e_6) ),
inference(resolution,[status(thm)],[c_836898,c_124]) ).
tff(c_837173,plain,
! [X_18,X_11578] :
( product(X_18,X_11578,e_5)
| ~ product(X_18,e_6,X_11578)
| ~ product(X_11578,e_3,e_6) ),
inference(resolution,[status(thm)],[c_837108,c_124]) ).
tff(c_837537,plain,
( product(e_3,e_1,e_5)
| ~ product(e_1,e_3,e_6) ),
inference(resolution,[status(thm)],[c_837505,c_837173]) ).
tff(c_837958,plain,
~ product(e_1,e_3,e_6),
inference(splitLeft,[status(thm)],[c_837537]) ).
tff(c_837961,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_837958]) ).
tff(c_837964,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_48,c_837961]) ).
tff(c_837965,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_837946,c_837964]) ).
tff(c_838147,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_837965]) ).
tff(c_837751,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_837704,c_122]) ).
tff(c_838240,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_838147,c_837751]) ).
tff(c_838270,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_838240]) ).
tff(c_838271,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_837965]) ).
tff(c_838273,plain,
product(e_1,e_3,e_5),
inference(splitLeft,[status(thm)],[c_838271]) ).
tff(c_836920,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_3,e_5) ),
inference(resolution,[status(thm)],[c_836898,c_122]) ).
tff(c_838279,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_838273,c_836920]) ).
tff(c_838297,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_838279]) ).
tff(c_838298,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_838271]) ).
tff(c_838342,plain,
product(e_1,e_3,e_2),
inference(splitLeft,[status(thm)],[c_838298]) ).
tff(c_838542,plain,
! [X_11616] :
( product(X_11616,e_1,e_2)
| ~ product(X_11616,e_3,e_1) ),
inference(resolution,[status(thm)],[c_838342,c_124]) ).
tff(c_838546,plain,
product(e_4,e_1,e_2),
inference(resolution,[status(thm)],[c_837704,c_838542]) ).
tff(c_838575,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_838546,c_311]) ).
tff(c_838638,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_838575]) ).
tff(c_838639,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_838638]) ).
tff(c_838657,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_838639,c_828719]) ).
tff(c_838687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_838657]) ).
tff(c_838688,plain,
product(e_1,e_3,e_3),
inference(splitRight,[status(thm)],[c_838298]) ).
tff(c_838914,plain,
! [X_11622] :
( product(X_11622,e_1,e_3)
| ~ product(X_11622,e_3,e_1) ),
inference(resolution,[status(thm)],[c_838688,c_124]) ).
tff(c_838918,plain,
product(e_4,e_1,e_3),
inference(resolution,[status(thm)],[c_837704,c_838914]) ).
tff(c_838928,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_838918,c_828719]) ).
tff(c_838988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_838928]) ).
tff(c_838989,plain,
product(e_3,e_1,e_5),
inference(splitRight,[status(thm)],[c_837537]) ).
tff(c_836710,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_3,W_11,e_5) ),
inference(resolution,[status(thm)],[c_836595,c_120]) ).
tff(c_838997,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_838989,c_836710]) ).
tff(c_839051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_838997]) ).
tff(c_839052,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_836757]) ).
tff(c_839054,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_839052]) ).
tff(c_839072,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_839054,c_744622]) ).
tff(c_839100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_839072]) ).
tff(c_839101,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_839052]) ).
tff(c_839103,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_839101]) ).
tff(c_839132,plain,
( product(e_3,e_2,e_3)
| ~ product(e_2,e_4,e_6) ),
inference(resolution,[status(thm)],[c_839103,c_829019]) ).
tff(c_839372,plain,
~ product(e_2,e_4,e_6),
inference(splitLeft,[status(thm)],[c_839132]) ).
tff(c_837154,plain,
! [X_11578] :
( product(X_11578,e_5,e_3)
| ~ product(e_5,e_4,e_6)
| ~ product(X_11578,e_3,e_6) ),
inference(resolution,[status(thm)],[c_837108,c_829019]) ).
tff(c_837380,plain,
~ product(e_5,e_4,e_6),
inference(splitLeft,[status(thm)],[c_837154]) ).
tff(c_837383,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_837380]) ).
tff(c_837386,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_50,c_837383]) ).
tff(c_839842,plain,
product(e_5,e_4,e_1),
inference(splitLeft,[status(thm)],[c_837386]) ).
tff(c_839375,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_839372]) ).
tff(c_839378,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_839375]) ).
tff(c_839665,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_839378]) ).
tff(c_839722,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_839665,c_122]) ).
tff(c_839845,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_839842,c_839722]) ).
tff(c_839875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_839845]) ).
tff(c_839876,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_837386]) ).
tff(c_839878,plain,
product(e_5,e_4,e_5),
inference(splitLeft,[status(thm)],[c_839876]) ).
tff(c_836711,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_4,e_5) ),
inference(resolution,[status(thm)],[c_836595,c_122]) ).
tff(c_839906,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_839878,c_836711]) ).
tff(c_839931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_839906]) ).
tff(c_839932,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_839876]) ).
tff(c_839976,plain,
product(e_5,e_4,e_2),
inference(splitLeft,[status(thm)],[c_839932]) ).
tff(c_840300,plain,
! [X_11659] :
( product(X_11659,e_5,e_2)
| ~ product(X_11659,e_4,e_5) ),
inference(resolution,[status(thm)],[c_839976,c_124]) ).
tff(c_839147,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_839103,c_120]) ).
tff(c_840314,plain,
( equalish(e_5,e_6)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[c_840300,c_839147]) ).
tff(c_840339,plain,
equalish(e_5,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_836595,c_840314]) ).
tff(c_840341,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_840339]) ).
tff(c_840342,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_839932]) ).
tff(c_840364,plain,
product(e_5,e_4,e_4),
inference(splitLeft,[status(thm)],[c_840342]) ).
tff(c_840492,plain,
! [X_11666] :
( product(X_11666,e_5,e_4)
| ~ product(X_11666,e_4,e_5) ),
inference(resolution,[status(thm)],[c_840364,c_124]) ).
tff(c_840498,plain,
! [X_11666] :
( equalish(e_5,e_1)
| ~ next(X_11666,e_4)
| product(X_11666,e_1,e_3)
| product(X_11666,e_1,e_2)
| product(X_11666,e_1,e_1)
| ~ group_element(X_11666)
| ~ product(X_11666,e_4,e_5) ),
inference(resolution,[status(thm)],[c_840492,c_2639]) ).
tff(c_840758,plain,
! [X_11675] :
( ~ next(X_11675,e_4)
| product(X_11675,e_1,e_3)
| product(X_11675,e_1,e_2)
| product(X_11675,e_1,e_1)
| ~ group_element(X_11675)
| ~ product(X_11675,e_4,e_5) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_840498]) ).
tff(c_840761,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_836595,c_840758]) ).
tff(c_840792,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_840761]) ).
tff(c_840814,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_840792]) ).
tff(c_840849,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_840814,c_2268]) ).
tff(c_840911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_840849]) ).
tff(c_840912,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_840792]) ).
tff(c_840938,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_840912]) ).
tff(c_841313,plain,
! [X_11681] :
( product(X_11681,e_3,e_3)
| ~ product(X_11681,e_1,e_3) ),
inference(resolution,[status(thm)],[c_840938,c_124]) ).
tff(c_841050,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_840938,c_120]) ).
tff(c_841317,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_841313,c_841050]) ).
tff(c_841354,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_840938,c_841317]) ).
tff(c_841356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_841354]) ).
tff(c_841357,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_840912]) ).
tff(c_841370,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_841357,c_839147]) ).
tff(c_841418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_841370]) ).
tff(c_841419,plain,
product(e_5,e_4,e_3),
inference(splitRight,[status(thm)],[c_840342]) ).
tff(c_841433,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_841419,c_828860]) ).
tff(c_841459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_841433]) ).
tff(c_841460,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_839378]) ).
tff(c_841462,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_841460]) ).
tff(c_841474,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_841462,c_836711]) ).
tff(c_841499,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_841474]) ).
tff(c_841500,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_841460]) ).
tff(c_841560,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_841500]) ).
tff(c_841706,plain,
! [X_11690] :
( product(X_11690,e_2,e_2)
| ~ product(X_11690,e_4,e_2) ),
inference(resolution,[status(thm)],[c_841560,c_124]) ).
tff(c_841713,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_841560,c_841706]) ).
tff(c_841603,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_841560,c_120]) ).
tff(c_841717,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_841713,c_841603]) ).
tff(c_841742,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_841717]) ).
tff(c_841743,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_841500]) ).
tff(c_841749,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_841743]) ).
tff(c_841758,plain,
( product(e_2,e_4,e_6)
| product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_841749,c_219]) ).
tff(c_841779,plain,
( product(e_2,e_4,e_6)
| product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_841758]) ).
tff(c_841780,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_839372,c_841779]) ).
tff(c_842542,plain,
product(e_4,e_4,e_1),
inference(splitLeft,[status(thm)],[c_841780]) ).
tff(c_841890,plain,
product(e_5,e_4,e_1),
inference(splitLeft,[status(thm)],[c_837386]) ).
tff(c_841945,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_841890,c_122]) ).
tff(c_842595,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_842542,c_841945]) ).
tff(c_842628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_842595]) ).
tff(c_842629,plain,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_841780]) ).
tff(c_842631,plain,
product(e_4,e_4,e_5),
inference(splitLeft,[status(thm)],[c_842629]) ).
tff(c_842648,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_842631,c_836711]) ).
tff(c_842679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_842648]) ).
tff(c_842680,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_842629]) ).
tff(c_842819,plain,
product(e_4,e_4,e_2),
inference(splitLeft,[status(thm)],[c_842680]) ).
tff(c_839252,plain,
! [X_11626] :
( product(X_11626,e_3,e_2)
| ~ product(X_11626,e_6,e_3) ),
inference(resolution,[status(thm)],[c_839103,c_124]) ).
tff(c_839260,plain,
product(e_4,e_3,e_2),
inference(resolution,[status(thm)],[c_828686,c_839252]) ).
tff(c_839287,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_4,W_11,e_2) ),
inference(resolution,[status(thm)],[c_839260,c_120]) ).
tff(c_842834,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_842819,c_839287]) ).
tff(c_842859,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_842834]) ).
tff(c_842860,plain,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_842680]) ).
tff(c_842914,plain,
product(e_4,e_4,e_4),
inference(splitLeft,[status(thm)],[c_842860]) ).
tff(c_841787,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_4) ),
inference(resolution,[status(thm)],[c_841749,c_122]) ).
tff(c_842917,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_842914,c_841787]) ).
tff(c_842940,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_842917]) ).
tff(c_842941,plain,
product(e_4,e_4,e_3),
inference(splitRight,[status(thm)],[c_842860]) ).
tff(c_842955,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_842941,c_828860]) ).
tff(c_842986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_842955]) ).
tff(c_842987,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_837386]) ).
tff(c_843077,plain,
product(e_5,e_4,e_5),
inference(splitLeft,[status(thm)],[c_842987]) ).
tff(c_843089,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_843077,c_836711]) ).
tff(c_843114,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_843089]) ).
tff(c_843115,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_842987]) ).
tff(c_843159,plain,
product(e_5,e_4,e_2),
inference(splitLeft,[status(thm)],[c_843115]) ).
tff(c_843442,plain,
! [X_11730] :
( product(X_11730,e_5,e_2)
| ~ product(X_11730,e_4,e_5) ),
inference(resolution,[status(thm)],[c_843159,c_124]) ).
tff(c_843456,plain,
( equalish(e_5,e_6)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[c_843442,c_839147]) ).
tff(c_843481,plain,
equalish(e_5,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_836595,c_843456]) ).
tff(c_843483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_843481]) ).
tff(c_843484,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_843115]) ).
tff(c_843490,plain,
product(e_5,e_4,e_4),
inference(splitLeft,[status(thm)],[c_843484]) ).
tff(c_843588,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_843490,c_841787]) ).
tff(c_843611,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_843588]) ).
tff(c_843612,plain,
product(e_5,e_4,e_3),
inference(splitRight,[status(thm)],[c_843484]) ).
tff(c_843626,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_843612,c_828860]) ).
tff(c_843652,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_843626]) ).
tff(c_843653,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_841743]) ).
tff(c_843667,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_843653,c_828860]) ).
tff(c_843693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_843667]) ).
tff(c_843695,plain,
product(e_2,e_4,e_6),
inference(splitRight,[status(thm)],[c_839132]) ).
tff(c_828986,plain,
! [X_11405] :
( equalish(e_6,e_1)
| ~ next(X_11405,e_3)
| product(X_11405,e_1,e_2)
| product(X_11405,e_1,e_1)
| ~ group_element(X_11405)
| ~ product(X_11405,e_4,e_6) ),
inference(resolution,[status(thm)],[c_828961,c_312]) ).
tff(c_829014,plain,
! [X_11405] :
( ~ next(X_11405,e_3)
| product(X_11405,e_1,e_2)
| product(X_11405,e_1,e_1)
| ~ group_element(X_11405)
| ~ product(X_11405,e_4,e_6) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_828986]) ).
tff(c_843754,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_843695,c_829014]) ).
tff(c_843783,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_843754]) ).
tff(c_843785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_843783]) ).
tff(c_843786,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_839101]) ).
tff(c_843804,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_843786,c_828720]) ).
tff(c_843833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_843804]) ).
tff(c_843835,plain,
product(e_5,e_4,e_6),
inference(splitRight,[status(thm)],[c_837154]) ).
tff(c_843912,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_843835,c_829061]) ).
tff(c_843942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_843912]) ).
tff(c_843943,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_836593]) ).
tff(c_843987,plain,
product(e_3,e_4,e_2),
inference(splitLeft,[status(thm)],[c_843943]) ).
tff(c_844099,plain,
! [X_11738] :
( product(X_11738,e_3,e_2)
| ~ product(X_11738,e_4,e_3) ),
inference(resolution,[status(thm)],[c_843987,c_124]) ).
tff(c_844103,plain,
product(e_6,e_3,e_2),
inference(resolution,[status(thm)],[c_828826,c_844099]) ).
tff(c_844239,plain,
! [X_11745] :
( product(X_11745,e_6,e_2)
| ~ product(X_11745,e_3,e_6) ),
inference(resolution,[status(thm)],[c_844103,c_124]) ).
tff(c_844287,plain,
! [X_11745] :
( product(X_11745,e_2,e_3)
| ~ product(e_2,e_4,e_6)
| ~ product(X_11745,e_3,e_6) ),
inference(resolution,[status(thm)],[c_844239,c_829019]) ).
tff(c_844451,plain,
~ product(e_2,e_4,e_6),
inference(splitLeft,[status(thm)],[c_844287]) ).
tff(c_844454,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_844451]) ).
tff(c_844457,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_844454]) ).
tff(c_844544,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_844457]) ).
tff(c_844699,plain,
! [X_11761] :
( product(X_11761,e_2,e_1)
| ~ product(X_11761,e_4,e_2) ),
inference(resolution,[status(thm)],[c_844544,c_124]) ).
tff(c_844703,plain,
product(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c_843987,c_844699]) ).
tff(c_844760,plain,
! [X_18] :
( product(X_18,e_3,e_1)
| ~ product(X_18,e_2,e_3) ),
inference(resolution,[status(thm)],[c_844703,c_124]) ).
tff(c_844145,plain,
! [X_18] :
( product(X_18,e_6,e_2)
| ~ product(X_18,e_3,e_6) ),
inference(resolution,[status(thm)],[c_844103,c_124]) ).
tff(c_844458,plain,
! [X_11753,X_11754] :
( product(X_11753,X_11754,e_2)
| ~ product(X_11753,e_6,X_11754)
| ~ product(X_11754,e_3,e_6) ),
inference(resolution,[status(thm)],[c_844239,c_124]) ).
tff(c_844493,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_3,e_6)
| ~ product(X_18,e_3,e_6) ),
inference(resolution,[status(thm)],[c_844145,c_844458]) ).
tff(c_844523,plain,
~ product(e_2,e_3,e_6),
inference(splitLeft,[status(thm)],[c_844493]) ).
tff(c_844526,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_844523]) ).
tff(c_844529,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48,c_844526]) ).
tff(c_848855,plain,
product(e_2,e_3,e_1),
inference(splitLeft,[status(thm)],[c_844529]) ).
tff(c_844256,plain,
( equalish(e_2,e_3)
| ~ product(e_4,e_3,e_6) ),
inference(resolution,[status(thm)],[c_844239,c_828721]) ).
tff(c_844293,plain,
~ product(e_4,e_3,e_6),
inference(negUnitSimplification,[status(thm)],[c_68,c_844256]) ).
tff(c_844321,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_844293]) ).
tff(c_844324,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_48,c_844321]) ).
tff(c_847173,plain,
product(e_4,e_3,e_1),
inference(splitLeft,[status(thm)],[c_844324]) ).
tff(c_847235,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_847173,c_122]) ).
tff(c_848866,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_848855,c_847235]) ).
tff(c_848914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_848866]) ).
tff(c_848915,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_844529]) ).
tff(c_848921,plain,
product(e_2,e_3,e_5),
inference(splitLeft,[status(thm)],[c_848915]) ).
tff(c_848959,plain,
! [W_11894] :
( equalish(W_11894,e_3)
| ~ product(e_2,W_11894,e_5) ),
inference(resolution,[status(thm)],[c_848921,c_120]) ).
tff(c_848970,plain,
( equalish(e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_744838,c_848959]) ).
tff(c_849002,plain,
( equalish(e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_848970]) ).
tff(c_849003,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_110,c_849002]) ).
tff(c_849899,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_849003]) ).
tff(c_844590,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_1) ),
inference(resolution,[status(thm)],[c_844544,c_120]) ).
tff(c_849917,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_849899,c_844590]) ).
tff(c_849968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_849917]) ).
tff(c_849969,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_849003]) ).
tff(c_849971,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_849969]) ).
tff(c_849994,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_849971,c_744622]) ).
tff(c_850024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_849994]) ).
tff(c_850025,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_849969]) ).
tff(c_850027,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_850025]) ).
tff(c_850224,plain,
! [X_11919] :
( product(X_11919,e_2,e_2)
| ~ product(X_11919,e_6,e_2) ),
inference(resolution,[status(thm)],[c_850027,c_124]) ).
tff(c_850231,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_850027,c_850224]) ).
tff(c_850087,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_850027,c_120]) ).
tff(c_850235,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_850231,c_850087]) ).
tff(c_850260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_850235]) ).
tff(c_850261,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_850025]) ).
tff(c_850288,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_850261,c_828720]) ).
tff(c_850321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_850288]) ).
tff(c_850322,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_848915]) ).
tff(c_850366,plain,
product(e_2,e_3,e_2),
inference(splitLeft,[status(thm)],[c_850322]) ).
tff(c_844147,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_3,e_2) ),
inference(resolution,[status(thm)],[c_844103,c_122]) ).
tff(c_850376,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_850366,c_844147]) ).
tff(c_850399,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_850376]) ).
tff(c_850400,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_850322]) ).
tff(c_850402,plain,
product(e_2,e_3,e_4),
inference(splitLeft,[status(thm)],[c_850400]) ).
tff(c_850574,plain,
! [X_11922] :
( product(X_11922,e_2,e_4)
| ~ product(X_11922,e_3,e_2) ),
inference(resolution,[status(thm)],[c_850402,c_124]) ).
tff(c_850578,plain,
product(e_6,e_2,e_4),
inference(resolution,[status(thm)],[c_844103,c_850574]) ).
tff(c_850583,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_850578,c_744621]) ).
tff(c_850608,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_850583]) ).
tff(c_850609,plain,
product(e_2,e_3,e_3),
inference(splitRight,[status(thm)],[c_850400]) ).
tff(c_844014,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_843987,c_120]) ).
tff(c_844247,plain,
( equalish(e_6,e_4)
| ~ product(e_3,e_3,e_6) ),
inference(resolution,[status(thm)],[c_844239,c_844014]) ).
tff(c_844286,plain,
~ product(e_3,e_3,e_6),
inference(negUnitSimplification,[status(thm)],[c_112,c_844247]) ).
tff(c_844327,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_844286]) ).
tff(c_844330,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_844327]) ).
tff(c_845240,plain,
product(e_3,e_3,e_1),
inference(splitLeft,[status(thm)],[c_844330]) ).
tff(c_844761,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_1) ),
inference(resolution,[status(thm)],[c_844703,c_120]) ).
tff(c_845252,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_845240,c_844761]) ).
tff(c_845283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_845252]) ).
tff(c_845284,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_844330]) ).
tff(c_845290,plain,
product(e_3,e_3,e_5),
inference(splitLeft,[status(thm)],[c_845284]) ).
tff(c_845322,plain,
! [W_11778] :
( equalish(W_11778,e_3)
| ~ product(e_3,W_11778,e_5) ),
inference(resolution,[status(thm)],[c_845290,c_120]) ).
tff(c_845333,plain,
( equalish(e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_744838,c_845322]) ).
tff(c_845365,plain,
( equalish(e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_845333]) ).
tff(c_845366,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_110,c_845365]) ).
tff(c_845843,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_845366]) ).
tff(c_845848,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_845843,c_844761]) ).
tff(c_845885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_845848]) ).
tff(c_845886,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_845366]) ).
tff(c_845888,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_845886]) ).
tff(c_845906,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_845888,c_744622]) ).
tff(c_845934,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_845906]) ).
tff(c_845935,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_845886]) ).
tff(c_845981,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_845935]) ).
tff(c_845993,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_845981,c_844014]) ).
tff(c_846022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_845993]) ).
tff(c_846023,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_845935]) ).
tff(c_846046,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_846023,c_828720]) ).
tff(c_846075,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_846046]) ).
tff(c_846076,plain,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_845284]) ).
tff(c_846120,plain,
product(e_3,e_3,e_2),
inference(splitLeft,[status(thm)],[c_846076]) ).
tff(c_846130,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_846120,c_844147]) ).
tff(c_846157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_846130]) ).
tff(c_846158,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_846076]) ).
tff(c_846160,plain,
product(e_3,e_3,e_4),
inference(splitLeft,[status(thm)],[c_846158]) ).
tff(c_846167,plain,
( equalish(e_3,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_846160,c_2639]) ).
tff(c_846187,plain,
( equalish(e_3,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_846167]) ).
tff(c_846188,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_76,c_846187]) ).
tff(c_846510,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_846188]) ).
tff(c_846517,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_846510,c_844761]) ).
tff(c_846580,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_846517]) ).
tff(c_846581,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_846188]) ).
tff(c_846607,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_846581]) ).
tff(c_846890,plain,
! [X_11815] :
( product(X_11815,e_3,e_3)
| ~ product(X_11815,e_1,e_3) ),
inference(resolution,[status(thm)],[c_846607,c_124]) ).
tff(c_846721,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_846607,c_120]) ).
tff(c_846894,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_846890,c_846721]) ).
tff(c_846950,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_846607,c_846894]) ).
tff(c_846952,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_846950]) ).
tff(c_846953,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_846581]) ).
tff(c_846968,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_846953,c_844014]) ).
tff(c_847018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_846968]) ).
tff(c_847019,plain,
product(e_3,e_3,e_3),
inference(splitRight,[status(thm)],[c_846158]) ).
tff(c_847068,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_3,e_3) ),
inference(resolution,[status(thm)],[c_847019,c_122]) ).
tff(c_850613,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_850609,c_847068]) ).
tff(c_850640,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_850613]) ).
tff(c_850642,plain,
~ product(e_4,e_3,e_1),
inference(splitRight,[status(thm)],[c_844324]) ).
tff(c_850646,plain,
~ product(e_4,e_2,e_3),
inference(resolution,[status(thm)],[c_844760,c_850642]) ).
tff(c_850641,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_844324]) ).
tff(c_850653,plain,
product(e_4,e_3,e_5),
inference(splitLeft,[status(thm)],[c_850641]) ).
tff(c_850927,plain,
! [W_11927,X_11928] :
( equalish(W_11927,e_1)
| ~ product(X_11928,W_11927,e_5)
| ~ next(X_11928,e_5)
| product(X_11928,e_1,e_4)
| product(X_11928,e_1,e_3)
| product(X_11928,e_1,e_2)
| product(X_11928,e_1,e_1)
| ~ group_element(X_11928) ),
inference(resolution,[status(thm)],[c_1888,c_120]) ).
tff(c_850931,plain,
( equalish(e_3,e_1)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_850653,c_850927]) ).
tff(c_850955,plain,
( equalish(e_3,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_850931]) ).
tff(c_850956,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_76,c_850955]) ).
tff(c_851205,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_850956]) ).
tff(c_851242,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_851205,c_2268]) ).
tff(c_851307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_851242]) ).
tff(c_851308,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_850956]) ).
tff(c_851334,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_851308]) ).
tff(c_851641,plain,
! [X_11942] :
( product(X_11942,e_4,e_4)
| ~ product(X_11942,e_1,e_4) ),
inference(resolution,[status(thm)],[c_851334,c_124]) ).
tff(c_851440,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_851334,c_120]) ).
tff(c_851645,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_851641,c_851440]) ).
tff(c_851683,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_851334,c_851645]) ).
tff(c_851685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_851683]) ).
tff(c_851686,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_851308]) ).
tff(c_851695,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_851686]) ).
tff(c_851724,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_851695,c_311]) ).
tff(c_851787,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_851724]) ).
tff(c_851789,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_850646,c_851787]) ).
tff(c_851790,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_851686]) ).
tff(c_851805,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_851790,c_828719]) ).
tff(c_851861,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_851805]) ).
tff(c_851862,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_850641]) ).
tff(c_851952,plain,
product(e_4,e_3,e_2),
inference(splitLeft,[status(thm)],[c_851862]) ).
tff(c_851962,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_851952,c_844147]) ).
tff(c_851985,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_851962]) ).
tff(c_851986,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_851862]) ).
tff(c_851992,plain,
product(e_4,e_3,e_4),
inference(splitLeft,[status(thm)],[c_851986]) ).
tff(c_852119,plain,
! [X_11950] :
( product(X_11950,e_4,e_4)
| ~ product(X_11950,e_3,e_4) ),
inference(resolution,[status(thm)],[c_851992,c_124]) ).
tff(c_852028,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_851992,c_120]) ).
tff(c_852123,plain,
( equalish(e_4,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[c_852119,c_852028]) ).
tff(c_852156,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_851992,c_852123]) ).
tff(c_852158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_852156]) ).
tff(c_852159,plain,
product(e_4,e_3,e_3),
inference(splitRight,[status(thm)],[c_851986]) ).
tff(c_852163,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_852159,c_847068]) ).
tff(c_852193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_852163]) ).
tff(c_852194,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_844457]) ).
tff(c_852196,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_852194]) ).
tff(c_852401,plain,
! [X_11954] :
( product(X_11954,e_2,e_5)
| ~ product(X_11954,e_4,e_2) ),
inference(resolution,[status(thm)],[c_852196,c_124]) ).
tff(c_852405,plain,
product(e_3,e_2,e_5),
inference(resolution,[status(thm)],[c_843987,c_852401]) ).
tff(c_852441,plain,
! [W_11955] :
( equalish(W_11955,e_2)
| ~ product(e_3,W_11955,e_5) ),
inference(resolution,[status(thm)],[c_852405,c_120]) ).
tff(c_852452,plain,
( equalish(e_6,e_2)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_744838,c_852441]) ).
tff(c_852484,plain,
( equalish(e_6,e_2)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_852452]) ).
tff(c_852485,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_852484]) ).
tff(c_853166,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_852485]) ).
tff(c_852220,plain,
! [W_11951] :
( equalish(W_11951,e_4)
| ~ product(e_2,W_11951,e_5) ),
inference(resolution,[status(thm)],[c_852196,c_120]) ).
tff(c_852231,plain,
( equalish(e_6,e_4)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_744838,c_852220]) ).
tff(c_852263,plain,
( equalish(e_6,e_4)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_852231]) ).
tff(c_852264,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_852263]) ).
tff(c_852955,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_852264]) ).
tff(c_853020,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_852955,c_122]) ).
tff(c_853175,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_853166,c_853020]) ).
tff(c_853210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_853175]) ).
tff(c_853211,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_852485]) ).
tff(c_853273,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_853211]) ).
tff(c_853291,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_853273,c_744622]) ).
tff(c_853319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_853291]) ).
tff(c_853320,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_853211]) ).
tff(c_853506,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_853320]) ).
tff(c_853521,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_853506,c_844014]) ).
tff(c_853551,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_853521]) ).
tff(c_853552,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_853320]) ).
tff(c_853574,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_853552,c_828720]) ).
tff(c_853603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_853574]) ).
tff(c_853604,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_852264]) ).
tff(c_854371,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_853604]) ).
tff(c_854389,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_854371,c_744622]) ).
tff(c_854416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_854389]) ).
tff(c_854417,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_853604]) ).
tff(c_854480,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_854417]) ).
tff(c_854663,plain,
! [X_12006] :
( product(X_12006,e_2,e_2)
| ~ product(X_12006,e_6,e_2) ),
inference(resolution,[status(thm)],[c_854480,c_124]) ).
tff(c_854670,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_854480,c_854663]) ).
tff(c_854532,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_854480,c_120]) ).
tff(c_854674,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_854670,c_854532]) ).
tff(c_854699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_854674]) ).
tff(c_854700,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_854417]) ).
tff(c_854725,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_854700,c_828720]) ).
tff(c_854755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_854725]) ).
tff(c_854756,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_852194]) ).
tff(c_854800,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_854756]) ).
tff(c_844015,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_4,e_2) ),
inference(resolution,[status(thm)],[c_843987,c_122]) ).
tff(c_854805,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_854800,c_844015]) ).
tff(c_854825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_854805]) ).
tff(c_854826,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_854756]) ).
tff(c_854828,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_854826]) ).
tff(c_855123,plain,
! [X_12015] :
( product(X_12015,e_2,e_4)
| ~ product(X_12015,e_4,e_2) ),
inference(resolution,[status(thm)],[c_854828,c_124]) ).
tff(c_855127,plain,
product(e_3,e_2,e_4),
inference(resolution,[status(thm)],[c_843987,c_855123]) ).
tff(c_855129,plain,
( equalish(e_2,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_855127,c_2639]) ).
tff(c_855149,plain,
( equalish(e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_855129]) ).
tff(c_855150,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_855149]) ).
tff(c_855437,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_855150]) ).
tff(c_855474,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_855437,c_2268]) ).
tff(c_855540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_855474]) ).
tff(c_855541,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_855150]) ).
tff(c_855567,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_855541]) ).
tff(c_855854,plain,
! [X_12029] :
( product(X_12029,e_3,e_3)
| ~ product(X_12029,e_1,e_3) ),
inference(resolution,[status(thm)],[c_855567,c_124]) ).
tff(c_855685,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_855567,c_120]) ).
tff(c_855858,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_855854,c_855685]) ).
tff(c_855894,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_855567,c_855858]) ).
tff(c_855896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_855894]) ).
tff(c_855897,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_855541]) ).
tff(c_855914,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_855897,c_844014]) ).
tff(c_855968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_855914]) ).
tff(c_855969,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_854826]) ).
tff(c_855978,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_855969,c_828860]) ).
tff(c_856001,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_855978]) ).
tff(c_856003,plain,
product(e_2,e_3,e_6),
inference(splitRight,[status(thm)],[c_844493]) ).
tff(c_856123,plain,
! [X_12033] :
( product(X_12033,e_2,e_2)
| ~ product(X_12033,e_3,e_6) ),
inference(splitRight,[status(thm)],[c_844493]) ).
tff(c_856131,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_856003,c_856123]) ).
tff(c_844310,plain,
! [W_11,X_11745] :
( equalish(W_11,e_6)
| ~ product(X_11745,W_11,e_2)
| ~ product(X_11745,e_3,e_6) ),
inference(resolution,[status(thm)],[c_844239,c_120]) ).
tff(c_856136,plain,
( equalish(e_2,e_6)
| ~ product(e_2,e_3,e_6) ),
inference(resolution,[status(thm)],[c_856131,c_844310]) ).
tff(c_856158,plain,
equalish(e_2,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_856003,c_856136]) ).
tff(c_856160,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_856158]) ).
tff(c_856162,plain,
product(e_2,e_4,e_6),
inference(splitRight,[status(thm)],[c_844287]) ).
tff(c_856168,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_856162,c_829014]) ).
tff(c_856197,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_856168]) ).
tff(c_856199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_856197]) ).
tff(c_856200,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_843943]) ).
tff(c_856202,plain,
product(e_3,e_4,e_4),
inference(splitLeft,[status(thm)],[c_856200]) ).
tff(c_856315,plain,
! [X_12037] :
( product(X_12037,e_3,e_4)
| ~ product(X_12037,e_4,e_3) ),
inference(resolution,[status(thm)],[c_856202,c_124]) ).
tff(c_856319,plain,
product(e_6,e_3,e_4),
inference(resolution,[status(thm)],[c_828826,c_856315]) ).
tff(c_856324,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_856319,c_744621]) ).
tff(c_856344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_856324]) ).
tff(c_856345,plain,
product(e_3,e_4,e_3),
inference(splitRight,[status(thm)],[c_856200]) ).
tff(c_856351,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_856345,c_828860]) ).
tff(c_856373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_856351]) ).
tff(c_856374,plain,
product(e_4,e_3,e_3),
inference(splitRight,[status(thm)],[c_829189]) ).
tff(c_856380,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_856374,c_828719]) ).
tff(c_856403,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_856380]) ).
tff(c_856404,plain,
product(e_4,e_6,e_4),
inference(splitRight,[status(thm)],[c_828635]) ).
tff(c_856410,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_856404,c_744622]) ).
tff(c_856430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_856410]) ).
tff(c_856431,plain,
product(e_6,e_6,e_3),
inference(splitRight,[status(thm)],[c_744598]) ).
tff(c_856436,plain,
( product(e_6,e_3,e_6)
| product(e_3,e_6,e_5)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_856431,c_219]) ).
tff(c_856455,plain,
( product(e_6,e_3,e_6)
| product(e_3,e_6,e_5)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_54,c_856436]) ).
tff(c_856910,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_856455]) ).
tff(c_857208,plain,
! [X_12055] :
( product(X_12055,e_3,e_1)
| ~ product(X_12055,e_6,e_3) ),
inference(resolution,[status(thm)],[c_856910,c_124]) ).
tff(c_857212,plain,
product(e_6,e_3,e_1),
inference(resolution,[status(thm)],[c_856431,c_857208]) ).
tff(c_857363,plain,
! [X_12059] :
( product(X_12059,e_6,e_1)
| ~ product(X_12059,e_3,e_6) ),
inference(resolution,[status(thm)],[c_857212,c_124]) ).
tff(c_857394,plain,
( equalish(e_6,e_1)
| ~ product(e_1,e_3,e_6) ),
inference(resolution,[status(thm)],[c_857363,c_2267]) ).
tff(c_857427,plain,
~ product(e_1,e_3,e_6),
inference(negUnitSimplification,[status(thm)],[c_106,c_857394]) ).
tff(c_857447,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_857427]) ).
tff(c_857450,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_48,c_857447]) ).
tff(c_857673,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_857450]) ).
tff(c_857247,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_857212,c_122]) ).
tff(c_857678,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_857673,c_857247]) ).
tff(c_857704,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_857678]) ).
tff(c_857706,plain,
~ product(e_1,e_3,e_1),
inference(splitRight,[status(thm)],[c_857450]) ).
tff(c_856702,plain,
! [X_12042] :
( product(X_12042,e_6,e_3)
| ~ product(X_12042,e_6,e_6) ),
inference(resolution,[status(thm)],[c_856431,c_124]) ).
tff(c_856706,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_116,c_856702]) ).
tff(c_856709,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(X_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_856706]) ).
tff(c_857705,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_857450]) ).
tff(c_857707,plain,
product(e_1,e_3,e_5),
inference(splitLeft,[status(thm)],[c_857705]) ).
tff(c_857731,plain,
! [W_12072] :
( equalish(W_12072,e_3)
| ~ product(e_1,W_12072,e_5) ),
inference(resolution,[status(thm)],[c_857707,c_120]) ).
tff(c_857746,plain,
( equalish(e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_856709,c_857731]) ).
tff(c_857777,plain,
( equalish(e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_857746]) ).
tff(c_857778,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_110,c_857777]) ).
tff(c_858704,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_857778]) ).
tff(c_856945,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_856910,c_122]) ).
tff(c_858721,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_858704,c_856945]) ).
tff(c_858755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_858721]) ).
tff(c_858756,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_857778]) ).
tff(c_858769,plain,
product(e_1,e_6,e_4),
inference(splitLeft,[status(thm)],[c_858756]) ).
tff(c_858917,plain,
! [X_12098] :
( product(X_12098,e_1,e_4)
| ~ product(X_12098,e_6,e_1) ),
inference(resolution,[status(thm)],[c_858769,c_124]) ).
tff(c_858925,plain,
product(e_3,e_1,e_4),
inference(resolution,[status(thm)],[c_856910,c_858917]) ).
tff(c_859012,plain,
! [X_18] :
( product(X_18,e_3,e_4)
| ~ product(X_18,e_1,e_3) ),
inference(resolution,[status(thm)],[c_858925,c_124]) ).
tff(c_857435,plain,
! [X_18,X_12059] :
( product(X_18,X_12059,e_1)
| ~ product(X_18,e_6,X_12059)
| ~ product(X_12059,e_3,e_6) ),
inference(resolution,[status(thm)],[c_857363,c_124]) ).
tff(c_858797,plain,
( product(e_1,e_4,e_1)
| ~ product(e_4,e_3,e_6) ),
inference(resolution,[status(thm)],[c_858769,c_857435]) ).
tff(c_859168,plain,
~ product(e_4,e_3,e_6),
inference(splitLeft,[status(thm)],[c_858797]) ).
tff(c_859171,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_859168]) ).
tff(c_859174,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_48,c_859171]) ).
tff(c_859549,plain,
product(e_4,e_3,e_1),
inference(splitLeft,[status(thm)],[c_859174]) ).
tff(c_859562,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_859549,c_857247]) ).
tff(c_859589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_859562]) ).
tff(c_859590,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_859174]) ).
tff(c_859592,plain,
product(e_4,e_3,e_5),
inference(splitLeft,[status(thm)],[c_859590]) ).
tff(c_857729,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_3,e_5) ),
inference(resolution,[status(thm)],[c_857707,c_122]) ).
tff(c_859604,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_859592,c_857729]) ).
tff(c_859629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_859604]) ).
tff(c_859630,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_859590]) ).
tff(c_859712,plain,
product(e_4,e_3,e_2),
inference(splitLeft,[status(thm)],[c_859630]) ).
tff(c_859183,plain,
! [X_12103] :
( product(X_12103,e_3,e_4)
| ~ product(X_12103,e_1,e_3) ),
inference(resolution,[status(thm)],[c_858925,c_124]) ).
tff(c_859236,plain,
! [X_18,X_12103] :
( product(X_18,X_12103,e_4)
| ~ product(X_18,e_3,X_12103)
| ~ product(X_12103,e_1,e_3) ),
inference(resolution,[status(thm)],[c_859183,c_124]) ).
tff(c_859732,plain,
( product(e_4,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_859712,c_859236]) ).
tff(c_859892,plain,
~ product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_859732]) ).
tff(c_859895,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_859892]) ).
tff(c_859898,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_859895]) ).
tff(c_859900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_859898]) ).
tff(c_859901,plain,
product(e_4,e_2,e_4),
inference(splitRight,[status(thm)],[c_859732]) ).
tff(c_860384,plain,
! [X_12132] :
( product(X_12132,e_4,e_4)
| ~ product(X_12132,e_2,e_4) ),
inference(resolution,[status(thm)],[c_859901,c_124]) ).
tff(c_860049,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_859901,c_120]) ).
tff(c_860388,plain,
( equalish(e_4,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c_860384,c_860049]) ).
tff(c_860415,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_859901,c_860388]) ).
tff(c_860417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_860415]) ).
tff(c_860418,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_859630]) ).
tff(c_860420,plain,
product(e_4,e_3,e_4),
inference(splitLeft,[status(thm)],[c_860418]) ).
tff(c_860574,plain,
! [X_12138] :
( product(X_12138,e_4,e_4)
| ~ product(X_12138,e_3,e_4) ),
inference(resolution,[status(thm)],[c_860420,c_124]) ).
tff(c_860463,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_860420,c_120]) ).
tff(c_860578,plain,
( equalish(e_4,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[c_860574,c_860463]) ).
tff(c_860605,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_860420,c_860578]) ).
tff(c_860607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_860605]) ).
tff(c_860608,plain,
product(e_4,e_3,e_3),
inference(splitRight,[status(thm)],[c_860418]) ).
tff(c_860755,plain,
! [X_12142] :
( product(X_12142,e_4,e_3)
| ~ product(X_12142,e_3,e_4) ),
inference(resolution,[status(thm)],[c_860608,c_124]) ).
tff(c_860769,plain,
! [X_12142] :
( equalish(e_4,e_1)
| ~ next(X_12142,e_3)
| product(X_12142,e_1,e_2)
| product(X_12142,e_1,e_1)
| ~ group_element(X_12142)
| ~ product(X_12142,e_3,e_4) ),
inference(resolution,[status(thm)],[c_860755,c_312]) ).
tff(c_860965,plain,
! [X_12152] :
( ~ next(X_12152,e_3)
| product(X_12152,e_1,e_2)
| product(X_12152,e_1,e_1)
| ~ group_element(X_12152)
| ~ product(X_12152,e_3,e_4) ),
inference(negUnitSimplification,[status(thm)],[c_86,c_860769]) ).
tff(c_860970,plain,
! [X_12153] :
( ~ next(X_12153,e_3)
| product(X_12153,e_1,e_2)
| product(X_12153,e_1,e_1)
| ~ group_element(X_12153)
| ~ product(X_12153,e_1,e_3) ),
inference(resolution,[status(thm)],[c_859012,c_860965]) ).
tff(c_860975,plain,
! [X_12154] :
( ~ next(X_12154,e_3)
| product(X_12154,e_1,e_2)
| product(X_12154,e_1,e_1)
| ~ group_element(X_12154) ),
inference(resolution,[status(thm)],[c_291,c_860970]) ).
tff(c_861011,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_860975,c_1484]) ).
tff(c_861064,plain,
product(e_2,e_1,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_861011]) ).
tff(c_861066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_861064]) ).
tff(c_861067,plain,
product(e_1,e_4,e_1),
inference(splitRight,[status(thm)],[c_858797]) ).
tff(c_861078,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_861067,c_2267]) ).
tff(c_861104,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_861078]) ).
tff(c_861105,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_858756]) ).
tff(c_861114,plain,
product(e_1,e_6,e_2),
inference(splitLeft,[status(thm)],[c_861105]) ).
tff(c_861262,plain,
! [X_12160] :
( product(X_12160,e_1,e_2)
| ~ product(X_12160,e_6,e_1) ),
inference(resolution,[status(thm)],[c_861114,c_124]) ).
tff(c_861270,plain,
product(e_3,e_1,e_2),
inference(resolution,[status(thm)],[c_856910,c_861262]) ).
tff(c_861293,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_861270,c_311]) ).
tff(c_861344,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_861293]) ).
tff(c_861345,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_861344]) ).
tff(c_861752,plain,
! [X_12169] :
( product(X_12169,e_3,e_3)
| ~ product(X_12169,e_2,e_3) ),
inference(resolution,[status(thm)],[c_861345,c_124]) ).
tff(c_861404,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_861345,c_120]) ).
tff(c_861756,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_861752,c_861404]) ).
tff(c_861787,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_861345,c_861756]) ).
tff(c_861789,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_861787]) ).
tff(c_861790,plain,
product(e_1,e_6,e_3),
inference(splitRight,[status(thm)],[c_861105]) ).
tff(c_856943,plain,
! [X_18] :
( product(X_18,e_3,e_1)
| ~ product(X_18,e_6,e_3) ),
inference(resolution,[status(thm)],[c_856910,c_124]) ).
tff(c_861904,plain,
product(e_1,e_3,e_1),
inference(resolution,[status(thm)],[c_861790,c_856943]) ).
tff(c_861936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_857706,c_861904]) ).
tff(c_861937,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_857705]) ).
tff(c_861981,plain,
product(e_1,e_3,e_2),
inference(splitLeft,[status(thm)],[c_861937]) ).
tff(c_862093,plain,
! [X_12176] :
( product(X_12176,e_1,e_2)
| ~ product(X_12176,e_3,e_1) ),
inference(resolution,[status(thm)],[c_861981,c_124]) ).
tff(c_862097,plain,
product(e_6,e_1,e_2),
inference(resolution,[status(thm)],[c_857212,c_862093]) ).
tff(c_862127,plain,
( product(e_6,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_862097,c_311]) ).
tff(c_862178,plain,
( product(e_6,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_862127]) ).
tff(c_862179,plain,
product(e_6,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_862178]) ).
tff(c_856465,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_6,W_11,e_3) ),
inference(resolution,[status(thm)],[c_856431,c_120]) ).
tff(c_862195,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_862179,c_856465]) ).
tff(c_862222,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_862195]) ).
tff(c_862223,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_861937]) ).
tff(c_862225,plain,
product(e_1,e_3,e_4),
inference(splitLeft,[status(thm)],[c_862223]) ).
tff(c_862337,plain,
! [X_12182] :
( product(X_12182,e_1,e_4)
| ~ product(X_12182,e_3,e_1) ),
inference(resolution,[status(thm)],[c_862225,c_124]) ).
tff(c_862341,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_857212,c_862337]) ).
tff(c_862638,plain,
! [X_12188] :
( product(X_12188,e_6,e_4)
| ~ product(X_12188,e_1,e_6) ),
inference(resolution,[status(thm)],[c_862341,c_124]) ).
tff(c_856946,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_3,e_6,W_8) ),
inference(resolution,[status(thm)],[c_856910,c_118]) ).
tff(c_862655,plain,
( equalish(e_4,e_1)
| ~ product(e_3,e_1,e_6) ),
inference(resolution,[status(thm)],[c_862638,c_856946]) ).
tff(c_862689,plain,
~ product(e_3,e_1,e_6),
inference(negUnitSimplification,[status(thm)],[c_86,c_862655]) ).
tff(c_862721,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_862689]) ).
tff(c_862724,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_44,c_862721]) ).
tff(c_866749,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_862724]) ).
tff(c_856944,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_1) ),
inference(resolution,[status(thm)],[c_856910,c_120]) ).
tff(c_866754,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_866749,c_856944]) ).
tff(c_866804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_866754]) ).
tff(c_866805,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5) ),
inference(splitRight,[status(thm)],[c_862724]) ).
tff(c_866831,plain,
product(e_3,e_1,e_5),
inference(splitLeft,[status(thm)],[c_866805]) ).
tff(c_866861,plain,
~ next(e_3,e_4),
inference(resolution,[status(thm)],[c_866831,c_163]) ).
tff(c_866921,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_866861]) ).
tff(c_866922,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_866805]) ).
tff(c_867006,plain,
product(e_3,e_1,e_2),
inference(splitLeft,[status(thm)],[c_866922]) ).
tff(c_867031,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_867006,c_311]) ).
tff(c_867087,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_867031]) ).
tff(c_867088,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_867087]) ).
tff(c_867590,plain,
! [X_12285] :
( product(X_12285,e_3,e_3)
| ~ product(X_12285,e_2,e_3) ),
inference(resolution,[status(thm)],[c_867088,c_124]) ).
tff(c_867150,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_867088,c_120]) ).
tff(c_867594,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_867590,c_867150]) ).
tff(c_867629,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_867088,c_867594]) ).
tff(c_867631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_867629]) ).
tff(c_867632,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_866922]) ).
tff(c_867641,plain,
product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_867632]) ).
tff(c_862431,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_862341,c_122]) ).
tff(c_867646,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_867641,c_862431]) ).
tff(c_867696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_867646]) ).
tff(c_867697,plain,
product(e_3,e_1,e_3),
inference(splitRight,[status(thm)],[c_867632]) ).
tff(c_868012,plain,
! [X_12291] :
( product(X_12291,e_3,e_3)
| ~ product(X_12291,e_1,e_3) ),
inference(resolution,[status(thm)],[c_867697,c_124]) ).
tff(c_867801,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_867697,c_120]) ).
tff(c_868016,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_868012,c_867801]) ).
tff(c_868051,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_867697,c_868016]) ).
tff(c_868053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_868051]) ).
tff(c_868054,plain,
product(e_1,e_3,e_3),
inference(splitRight,[status(thm)],[c_862223]) ).
tff(c_868189,plain,
! [X_12297] :
( product(X_12297,e_1,e_3)
| ~ product(X_12297,e_3,e_1) ),
inference(resolution,[status(thm)],[c_868054,c_124]) ).
tff(c_868193,plain,
product(e_6,e_1,e_3),
inference(resolution,[status(thm)],[c_857212,c_868189]) ).
tff(c_868196,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_868193,c_856465]) ).
tff(c_868243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_868196]) ).
tff(c_868244,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_5)
| product(e_6,e_3,e_6) ),
inference(splitRight,[status(thm)],[c_856455]) ).
tff(c_868333,plain,
product(e_6,e_3,e_6),
inference(splitLeft,[status(thm)],[c_868244]) ).
tff(c_868454,plain,
! [X_12304] :
( product(X_12304,e_6,e_6)
| ~ product(X_12304,e_3,e_6) ),
inference(resolution,[status(thm)],[c_868333,c_124]) ).
tff(c_868364,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_6,W_11,e_6) ),
inference(resolution,[status(thm)],[c_868333,c_120]) ).
tff(c_868458,plain,
( equalish(e_6,e_3)
| ~ product(e_6,e_3,e_6) ),
inference(resolution,[status(thm)],[c_868454,c_868364]) ).
tff(c_868487,plain,
equalish(e_6,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_868333,c_868458]) ).
tff(c_868489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_868487]) ).
tff(c_868490,plain,
( product(e_3,e_6,e_5)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_868244]) ).
tff(c_868498,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_868490]) ).
tff(c_868626,plain,
! [X_12311] :
( product(X_12311,e_3,e_2)
| ~ product(X_12311,e_6,e_3) ),
inference(resolution,[status(thm)],[c_868498,c_124]) ).
tff(c_868630,plain,
product(e_6,e_3,e_2),
inference(resolution,[status(thm)],[c_856431,c_868626]) ).
tff(c_868912,plain,
! [X_12317] :
( product(X_12317,e_6,e_2)
| ~ product(X_12317,e_3,e_6) ),
inference(resolution,[status(thm)],[c_868630,c_124]) ).
tff(c_869099,plain,
! [X_12326,X_12327] :
( product(X_12326,X_12327,e_2)
| ~ product(X_12326,e_6,X_12327)
| ~ product(X_12327,e_3,e_6) ),
inference(resolution,[status(thm)],[c_868912,c_124]) ).
tff(c_869136,plain,
( product(e_3,e_2,e_2)
| ~ product(e_2,e_3,e_6) ),
inference(resolution,[status(thm)],[c_868498,c_869099]) ).
tff(c_869162,plain,
~ product(e_2,e_3,e_6),
inference(splitLeft,[status(thm)],[c_869136]) ).
tff(c_869173,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_869162]) ).
tff(c_869176,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48,c_869173]) ).
tff(c_869184,plain,
product(e_2,e_3,e_1),
inference(splitLeft,[status(thm)],[c_869176]) ).
tff(c_869327,plain,
! [X_12334] :
( product(X_12334,e_2,e_1)
| ~ product(X_12334,e_3,e_2) ),
inference(resolution,[status(thm)],[c_869184,c_124]) ).
tff(c_869331,plain,
product(e_6,e_2,e_1),
inference(resolution,[status(thm)],[c_868630,c_869327]) ).
tff(c_869535,plain,
! [X_12340] :
( product(X_12340,e_6,e_1)
| ~ product(X_12340,e_2,e_6) ),
inference(resolution,[status(thm)],[c_869331,c_124]) ).
tff(c_868969,plain,
! [X_18,X_12317] :
( product(X_18,X_12317,e_2)
| ~ product(X_18,e_6,X_12317)
| ~ product(X_12317,e_3,e_6) ),
inference(resolution,[status(thm)],[c_868912,c_124]) ).
tff(c_869590,plain,
! [X_12340] :
( product(X_12340,e_1,e_2)
| ~ product(e_1,e_3,e_6)
| ~ product(X_12340,e_2,e_6) ),
inference(resolution,[status(thm)],[c_869535,c_868969]) ).
tff(c_869799,plain,
~ product(e_1,e_3,e_6),
inference(splitLeft,[status(thm)],[c_869590]) ).
tff(c_869802,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_869799]) ).
tff(c_869805,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_48,c_869802]) ).
tff(c_869871,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_869805]) ).
tff(c_869219,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_869184,c_122]) ).
tff(c_869876,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_869871,c_869219]) ).
tff(c_869902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_869876]) ).
tff(c_869903,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_869805]) ).
tff(c_869912,plain,
product(e_1,e_3,e_5),
inference(splitLeft,[status(thm)],[c_869903]) ).
tff(c_870123,plain,
! [X_12357] :
( product(X_12357,e_1,e_5)
| ~ product(X_12357,e_3,e_1) ),
inference(resolution,[status(thm)],[c_869912,c_124]) ).
tff(c_870127,plain,
product(e_2,e_1,e_5),
inference(resolution,[status(thm)],[c_869184,c_870123]) ).
tff(c_870215,plain,
( equalish(e_5,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_870127,c_316]) ).
tff(c_870279,plain,
( equalish(e_5,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_870215]) ).
tff(c_870281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_100,c_870279]) ).
tff(c_870282,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_869903]) ).
tff(c_870326,plain,
product(e_1,e_3,e_2),
inference(splitLeft,[status(thm)],[c_870282]) ).
tff(c_868820,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_3,e_2) ),
inference(resolution,[status(thm)],[c_868630,c_122]) ).
tff(c_870334,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_870326,c_868820]) ).
tff(c_870355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_870334]) ).
tff(c_870356,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_870282]) ).
tff(c_870358,plain,
product(e_1,e_3,e_4),
inference(splitLeft,[status(thm)],[c_870356]) ).
tff(c_870477,plain,
! [X_12363] :
( product(X_12363,e_1,e_4)
| ~ product(X_12363,e_3,e_1) ),
inference(resolution,[status(thm)],[c_870358,c_124]) ).
tff(c_870481,plain,
product(e_2,e_1,e_4),
inference(resolution,[status(thm)],[c_869184,c_870477]) ).
tff(c_870508,plain,
( equalish(e_4,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_870481,c_316]) ).
tff(c_870570,plain,
( equalish(e_4,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_870508]) ).
tff(c_870572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_90,c_870570]) ).
tff(c_870573,plain,
product(e_1,e_3,e_3),
inference(splitRight,[status(thm)],[c_870356]) ).
tff(c_870701,plain,
! [X_12367] :
( product(X_12367,e_1,e_3)
| ~ product(X_12367,e_3,e_1) ),
inference(resolution,[status(thm)],[c_870573,c_124]) ).
tff(c_870705,plain,
product(e_2,e_1,e_3),
inference(resolution,[status(thm)],[c_869184,c_870701]) ).
tff(c_870804,plain,
! [X_18] :
( product(X_18,e_2,e_3)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_870705,c_124]) ).
tff(c_870968,plain,
! [X_12371] :
( product(X_12371,e_2,e_3)
| ~ product(X_12371,e_1,e_2) ),
inference(resolution,[status(thm)],[c_870705,c_124]) ).
tff(c_871213,plain,
! [X_12380,X_12381] :
( product(X_12380,X_12381,e_3)
| ~ product(X_12380,e_2,X_12381)
| ~ product(X_12381,e_1,e_2) ),
inference(resolution,[status(thm)],[c_870968,c_124]) ).
tff(c_871244,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_2)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_870804,c_871213]) ).
tff(c_871271,plain,
~ product(e_3,e_1,e_2),
inference(splitLeft,[status(thm)],[c_871244]) ).
tff(c_868245,plain,
~ product(e_3,e_6,e_1),
inference(splitRight,[status(thm)],[c_856455]) ).
tff(c_869597,plain,
~ product(e_3,e_2,e_6),
inference(resolution,[status(thm)],[c_869535,c_868245]) ).
tff(c_869630,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_869597]) ).
tff(c_869633,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_46,c_869630]) ).
tff(c_874643,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_869633]) ).
tff(c_869378,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_869331,c_122]) ).
tff(c_874659,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_874643,c_869378]) ).
tff(c_874698,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_874659]) ).
tff(c_874699,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_869633]) ).
tff(c_874701,plain,
product(e_3,e_2,e_5),
inference(splitLeft,[status(thm)],[c_874699]) ).
tff(c_874976,plain,
! [X_12457] :
( product(X_12457,e_3,e_5)
| ~ product(X_12457,e_2,e_3) ),
inference(resolution,[status(thm)],[c_874701,c_124]) ).
tff(c_870283,plain,
~ product(e_1,e_3,e_5),
inference(splitRight,[status(thm)],[c_869903]) ).
tff(c_875016,plain,
~ product(e_1,e_2,e_3),
inference(resolution,[status(thm)],[c_874976,c_870283]) ).
tff(c_869571,plain,
( equalish(e_6,e_1)
| ~ product(e_1,e_2,e_6) ),
inference(resolution,[status(thm)],[c_869535,c_2267]) ).
tff(c_869610,plain,
~ product(e_1,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_106,c_869571]) ).
tff(c_869642,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_869610]) ).
tff(c_869645,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_869642]) ).
tff(c_875409,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_875016,c_869645]) ).
tff(c_875410,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_875409]) ).
tff(c_875426,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_875410,c_869378]) ).
tff(c_875468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_875426]) ).
tff(c_875469,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_875409]) ).
tff(c_875570,plain,
product(e_1,e_2,e_5),
inference(splitLeft,[status(thm)],[c_875469]) ).
tff(c_874763,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_2,e_5) ),
inference(resolution,[status(thm)],[c_874701,c_122]) ).
tff(c_875577,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_875570,c_874763]) ).
tff(c_875617,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_875577]) ).
tff(c_875618,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_875469]) ).
tff(c_875662,plain,
product(e_1,e_2,e_2),
inference(splitLeft,[status(thm)],[c_875618]) ).
tff(c_869218,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_2,W_11,e_1) ),
inference(resolution,[status(thm)],[c_869184,c_120]) ).
tff(c_869543,plain,
( equalish(e_6,e_3)
| ~ product(e_2,e_2,e_6) ),
inference(resolution,[status(thm)],[c_869535,c_869218]) ).
tff(c_869589,plain,
~ product(e_2,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_110,c_869543]) ).
tff(c_869636,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_869589]) ).
tff(c_869639,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_869636]) ).
tff(c_872397,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_869639]) ).
tff(c_872413,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_872397,c_869378]) ).
tff(c_872456,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_872413]) ).
tff(c_872457,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_869639]) ).
tff(c_872588,plain,
product(e_2,e_2,e_5),
inference(splitLeft,[status(thm)],[c_872457]) ).
tff(c_872652,plain,
! [W_12422] :
( equalish(W_12422,e_2)
| ~ product(e_2,W_12422,e_5) ),
inference(resolution,[status(thm)],[c_872588,c_120]) ).
tff(c_872667,plain,
( equalish(e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_856709,c_872652]) ).
tff(c_872698,plain,
( equalish(e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_872667]) ).
tff(c_872699,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_872698]) ).
tff(c_873219,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_872699]) ).
tff(c_873231,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_873219,c_869218]) ).
tff(c_873264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_873231]) ).
tff(c_873265,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_872699]) ).
tff(c_873271,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_873265]) ).
tff(c_873419,plain,
! [X_12441] :
( product(X_12441,e_2,e_4)
| ~ product(X_12441,e_6,e_2) ),
inference(resolution,[status(thm)],[c_873271,c_124]) ).
tff(c_873427,plain,
product(e_3,e_2,e_4),
inference(resolution,[status(thm)],[c_868498,c_873419]) ).
tff(c_873444,plain,
( equalish(e_2,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_873427,c_2639]) ).
tff(c_873478,plain,
( equalish(e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_873444]) ).
tff(c_873479,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_871271,c_66,c_873478]) ).
tff(c_873907,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_873479]) ).
tff(c_873944,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_873907,c_2268]) ).
tff(c_874014,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_873944]) ).
tff(c_874015,plain,
product(e_3,e_1,e_3),
inference(splitRight,[status(thm)],[c_873479]) ).
tff(c_870807,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_870705,c_122]) ).
tff(c_874057,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_874015,c_870807]) ).
tff(c_874132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_874057]) ).
tff(c_874133,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_873265]) ).
tff(c_874135,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_874133]) ).
tff(c_868542,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_6,e_2) ),
inference(resolution,[status(thm)],[c_868498,c_122]) ).
tff(c_874156,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_874135,c_868542]) ).
tff(c_874192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_874156]) ).
tff(c_874193,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_874133]) ).
tff(c_870805,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_2,W_11,e_3) ),
inference(resolution,[status(thm)],[c_870705,c_120]) ).
tff(c_874207,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_874193,c_870805]) ).
tff(c_874253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_874207]) ).
tff(c_874254,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_872457]) ).
tff(c_874298,plain,
product(e_2,e_2,e_2),
inference(splitLeft,[status(thm)],[c_874254]) ).
tff(c_874378,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_874298,c_122]) ).
tff(c_875667,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_875662,c_874378]) ).
tff(c_875711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_875667]) ).
tff(c_875712,plain,
product(e_1,e_2,e_4),
inference(splitRight,[status(thm)],[c_875618]) ).
tff(c_875998,plain,
! [X_12473] :
( product(X_12473,e_1,e_4)
| ~ product(X_12473,e_2,e_1) ),
inference(resolution,[status(thm)],[c_875712,c_124]) ).
tff(c_876002,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_869331,c_875998]) ).
tff(c_876309,plain,
! [X_12477] :
( product(X_12477,e_6,e_4)
| ~ product(X_12477,e_1,e_6) ),
inference(resolution,[status(thm)],[c_876002,c_124]) ).
tff(c_868543,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_3,e_6,W_8) ),
inference(resolution,[status(thm)],[c_868498,c_118]) ).
tff(c_876331,plain,
( equalish(e_4,e_2)
| ~ product(e_3,e_1,e_6) ),
inference(resolution,[status(thm)],[c_876309,c_868543]) ).
tff(c_876369,plain,
~ product(e_3,e_1,e_6),
inference(negUnitSimplification,[status(thm)],[c_88,c_876331]) ).
tff(c_876403,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_876369]) ).
tff(c_876406,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_44,c_876403]) ).
tff(c_876407,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_871271,c_876406]) ).
tff(c_876767,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_876407]) ).
tff(c_876905,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_876767,c_2268]) ).
tff(c_876979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_876905]) ).
tff(c_876980,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5) ),
inference(splitRight,[status(thm)],[c_876407]) ).
tff(c_877006,plain,
product(e_3,e_1,e_5),
inference(splitLeft,[status(thm)],[c_876980]) ).
tff(c_874762,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_5) ),
inference(resolution,[status(thm)],[c_874701,c_120]) ).
tff(c_877013,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_877006,c_874762]) ).
tff(c_877080,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_877013]) ).
tff(c_877081,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_876980]) ).
tff(c_877267,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_877081]) ).
tff(c_877288,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_877267,c_870807]) ).
tff(c_877371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_877288]) ).
tff(c_877372,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_877081]) ).
tff(c_876130,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_876002,c_122]) ).
tff(c_877486,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_877372,c_876130]) ).
tff(c_877552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_877486]) ).
tff(c_877553,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_874699]) ).
tff(c_877597,plain,
product(e_3,e_2,e_2),
inference(splitLeft,[status(thm)],[c_877553]) ).
tff(c_877600,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_877597,c_874378]) ).
tff(c_877643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_877600]) ).
tff(c_877644,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_877553]) ).
tff(c_877646,plain,
product(e_3,e_2,e_4),
inference(splitLeft,[status(thm)],[c_877644]) ).
tff(c_877659,plain,
( equalish(e_2,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_877646,c_2639]) ).
tff(c_877690,plain,
( equalish(e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_877659]) ).
tff(c_877691,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_871271,c_66,c_877690]) ).
tff(c_877980,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_877691]) ).
tff(c_878018,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_877980,c_2268]) ).
tff(c_878088,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_878018]) ).
tff(c_878089,plain,
product(e_3,e_1,e_3),
inference(splitRight,[status(thm)],[c_877691]) ).
tff(c_878131,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_878089,c_870807]) ).
tff(c_878206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_878131]) ).
tff(c_878207,plain,
product(e_3,e_2,e_3),
inference(splitRight,[status(thm)],[c_877644]) ).
tff(c_878461,plain,
! [X_12501] :
( product(X_12501,e_3,e_3)
| ~ product(X_12501,e_2,e_3) ),
inference(resolution,[status(thm)],[c_878207,c_124]) ).
tff(c_878302,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_878207,c_120]) ).
tff(c_878465,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_878461,c_878302]) ).
tff(c_878517,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_878207,c_878465]) ).
tff(c_878519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_878517]) ).
tff(c_878520,plain,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_874254]) ).
tff(c_878522,plain,
product(e_2,e_2,e_4),
inference(splitLeft,[status(thm)],[c_878520]) ).
tff(c_878698,plain,
! [X_12505] :
( product(X_12505,e_2,e_4)
| ~ product(X_12505,e_2,e_2) ),
inference(resolution,[status(thm)],[c_878522,c_124]) ).
tff(c_878916,plain,
! [X_12515,X_12516] :
( product(X_12515,X_12516,e_4)
| ~ product(X_12515,e_2,X_12516)
| ~ product(X_12516,e_2,e_2) ),
inference(resolution,[status(thm)],[c_878698,c_124]) ).
tff(c_878960,plain,
( product(e_6,e_1,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[c_869331,c_878916]) ).
tff(c_878988,plain,
~ product(e_1,e_2,e_2),
inference(splitLeft,[status(thm)],[c_878960]) ).
tff(c_878959,plain,
! [X_18] :
( product(X_18,e_3,e_4)
| ~ product(e_3,e_2,e_2)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_870804,c_878916]) ).
tff(c_878990,plain,
~ product(e_3,e_2,e_2),
inference(splitLeft,[status(thm)],[c_878959]) ).
tff(c_878991,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_878990,c_869633]) ).
tff(c_878992,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_878991]) ).
tff(c_879012,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_878992,c_869378]) ).
tff(c_879054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_879012]) ).
tff(c_879055,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_878991]) ).
tff(c_879057,plain,
product(e_3,e_2,e_5),
inference(splitLeft,[status(thm)],[c_879055]) ).
tff(c_879345,plain,
! [X_12521] :
( product(X_12521,e_3,e_5)
| ~ product(X_12521,e_2,e_3) ),
inference(resolution,[status(thm)],[c_879057,c_124]) ).
tff(c_879385,plain,
~ product(e_1,e_2,e_3),
inference(resolution,[status(thm)],[c_879345,c_870283]) ).
tff(c_879882,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_878988,c_879385,c_869645]) ).
tff(c_879883,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_879882]) ).
tff(c_879903,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_879883,c_869378]) ).
tff(c_879948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_879903]) ).
tff(c_879949,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_879882]) ).
tff(c_879951,plain,
product(e_1,e_2,e_5),
inference(splitLeft,[status(thm)],[c_879949]) ).
tff(c_879126,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_2,e_5) ),
inference(resolution,[status(thm)],[c_879057,c_122]) ).
tff(c_879956,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_879951,c_879126]) ).
tff(c_879996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_879956]) ).
tff(c_879997,plain,
product(e_1,e_2,e_4),
inference(splitRight,[status(thm)],[c_879949]) ).
tff(c_878584,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_2,e_4) ),
inference(resolution,[status(thm)],[c_878522,c_122]) ).
tff(c_880051,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_879997,c_878584]) ).
tff(c_880091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_880051]) ).
tff(c_880092,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3) ),
inference(splitRight,[status(thm)],[c_879055]) ).
tff(c_880265,plain,
product(e_3,e_2,e_3),
inference(splitLeft,[status(thm)],[c_880092]) ).
tff(c_880659,plain,
! [X_12541] :
( product(X_12541,e_3,e_3)
| ~ product(X_12541,e_2,e_3) ),
inference(resolution,[status(thm)],[c_880265,c_124]) ).
tff(c_880366,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_880265,c_120]) ).
tff(c_880663,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_880659,c_880366]) ).
tff(c_880715,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_880265,c_880663]) ).
tff(c_880717,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_880715]) ).
tff(c_880718,plain,
product(e_3,e_2,e_4),
inference(splitRight,[status(thm)],[c_880092]) ).
tff(c_880855,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_880718,c_878584]) ).
tff(c_880899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_880855]) ).
tff(c_880901,plain,
product(e_3,e_2,e_2),
inference(splitRight,[status(thm)],[c_878959]) ).
tff(c_878908,plain,
! [W_12512,X_12513] :
( equalish(W_12512,X_12513)
| ~ product(W_12512,e_2,e_4)
| ~ product(X_12513,e_2,e_2) ),
inference(resolution,[status(thm)],[c_878698,c_122]) ).
tff(c_878914,plain,
! [X_12513] :
( equalish(e_2,X_12513)
| ~ product(X_12513,e_2,e_2) ),
inference(resolution,[status(thm)],[c_878522,c_878908]) ).
tff(c_880909,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_880901,c_878914]) ).
tff(c_880964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_880909]) ).
tff(c_880966,plain,
product(e_1,e_2,e_2),
inference(splitRight,[status(thm)],[c_878960]) ).
tff(c_881096,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_880966,c_878914]) ).
tff(c_881145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_881096]) ).
tff(c_881146,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_878520]) ).
tff(c_881173,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_881146,c_870805]) ).
tff(c_881224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_881173]) ).
tff(c_881226,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_871244]) ).
tff(c_868541,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_868498,c_120]) ).
tff(c_881231,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_881226,c_868541]) ).
tff(c_881278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_881231]) ).
tff(c_881280,plain,
product(e_1,e_3,e_6),
inference(splitRight,[status(thm)],[c_869590]) ).
tff(c_868999,plain,
! [W_12321,X_12322] :
( equalish(W_12321,X_12322)
| ~ product(W_12321,e_6,e_2)
| ~ product(X_12322,e_3,e_6) ),
inference(resolution,[status(thm)],[c_868912,c_122]) ).
tff(c_869005,plain,
! [X_12322] :
( equalish(e_3,X_12322)
| ~ product(X_12322,e_3,e_6) ),
inference(resolution,[status(thm)],[c_868498,c_868999]) ).
tff(c_881354,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_881280,c_869005]) ).
tff(c_881381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_881354]) ).
tff(c_881382,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_869176]) ).
tff(c_881384,plain,
product(e_2,e_3,e_5),
inference(splitLeft,[status(thm)],[c_881382]) ).
tff(c_881408,plain,
! [W_12546] :
( equalish(W_12546,e_3)
| ~ product(e_2,W_12546,e_5) ),
inference(resolution,[status(thm)],[c_881384,c_120]) ).
tff(c_881423,plain,
( equalish(e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_856709,c_881408]) ).
tff(c_881454,plain,
( equalish(e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_881423]) ).
tff(c_881455,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_110,c_881454]) ).
tff(c_882218,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_881455]) ).
tff(c_882405,plain,
! [X_12568] :
( product(X_12568,e_2,e_1)
| ~ product(X_12568,e_6,e_2) ),
inference(resolution,[status(thm)],[c_882218,c_124]) ).
tff(c_882413,plain,
product(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c_868498,c_882405]) ).
tff(c_882584,plain,
! [X_12573] :
( product(X_12573,e_3,e_1)
| ~ product(X_12573,e_2,e_3) ),
inference(resolution,[status(thm)],[c_882413,c_124]) ).
tff(c_882612,plain,
( equalish(e_3,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[c_882584,c_2267]) ).
tff(c_882646,plain,
~ product(e_1,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_76,c_882612]) ).
tff(c_881589,plain,
! [X_12549] :
( product(X_12549,e_2,e_5)
| ~ product(X_12549,e_3,e_2) ),
inference(resolution,[status(thm)],[c_881384,c_124]) ).
tff(c_881593,plain,
product(e_6,e_2,e_5),
inference(resolution,[status(thm)],[c_868630,c_881589]) ).
tff(c_881823,plain,
! [X_12553] :
( product(X_12553,e_6,e_5)
| ~ product(X_12553,e_2,e_6) ),
inference(resolution,[status(thm)],[c_881593,c_124]) ).
tff(c_881884,plain,
! [X_18,X_12553] :
( product(X_18,X_12553,e_5)
| ~ product(X_18,e_6,X_12553)
| ~ product(X_12553,e_2,e_6) ),
inference(resolution,[status(thm)],[c_881823,c_124]) ).
tff(c_882246,plain,
( product(e_2,e_1,e_5)
| ~ product(e_1,e_2,e_6) ),
inference(resolution,[status(thm)],[c_882218,c_881884]) ).
tff(c_882683,plain,
~ product(e_1,e_2,e_6),
inference(splitLeft,[status(thm)],[c_882246]) ).
tff(c_882686,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_882683]) ).
tff(c_882689,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_882686]) ).
tff(c_882690,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_882646,c_882689]) ).
tff(c_882885,plain,
product(e_1,e_2,e_1),
inference(splitLeft,[status(thm)],[c_882690]) ).
tff(c_882460,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_882413,c_122]) ).
tff(c_882890,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_882885,c_882460]) ).
tff(c_882921,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_882890]) ).
tff(c_882922,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_882690]) ).
tff(c_882924,plain,
product(e_1,e_2,e_5),
inference(splitLeft,[status(thm)],[c_882922]) ).
tff(c_881627,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_5) ),
inference(resolution,[status(thm)],[c_881593,c_122]) ).
tff(c_882929,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_882924,c_881627]) ).
tff(c_882952,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_882929]) ).
tff(c_882953,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_882922]) ).
tff(c_882997,plain,
product(e_1,e_2,e_2),
inference(splitLeft,[status(thm)],[c_882953]) ).
tff(c_883145,plain,
! [X_12589] :
( product(X_12589,e_1,e_2)
| ~ product(X_12589,e_2,e_1) ),
inference(resolution,[status(thm)],[c_882997,c_124]) ).
tff(c_883149,plain,
product(e_3,e_1,e_2),
inference(resolution,[status(thm)],[c_882413,c_883145]) ).
tff(c_883204,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_883149,c_868541]) ).
tff(c_883251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_883204]) ).
tff(c_883252,plain,
product(e_1,e_2,e_4),
inference(splitRight,[status(thm)],[c_882953]) ).
tff(c_883385,plain,
! [X_12595] :
( product(X_12595,e_1,e_4)
| ~ product(X_12595,e_2,e_1) ),
inference(resolution,[status(thm)],[c_883252,c_124]) ).
tff(c_883389,plain,
product(e_3,e_1,e_4),
inference(resolution,[status(thm)],[c_882413,c_883385]) ).
tff(c_883688,plain,
! [X_12601] :
( product(X_12601,e_3,e_4)
| ~ product(X_12601,e_1,e_3) ),
inference(resolution,[status(thm)],[c_883389,c_124]) ).
tff(c_881407,plain,
! [W_8] :
( equalish(W_8,e_5)
| ~ product(e_2,e_3,W_8) ),
inference(resolution,[status(thm)],[c_881384,c_118]) ).
tff(c_883705,plain,
( equalish(e_4,e_5)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_883688,c_881407]) ).
tff(c_883736,plain,
~ product(e_2,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_92,c_883705]) ).
tff(c_883768,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_883736]) ).
tff(c_883771,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_883768]) ).
tff(c_883773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_883771]) ).
tff(c_883774,plain,
product(e_2,e_1,e_5),
inference(splitRight,[status(thm)],[c_882246]) ).
tff(c_881405,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_2,W_11,e_5) ),
inference(resolution,[status(thm)],[c_881384,c_120]) ).
tff(c_883834,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_883774,c_881405]) ).
tff(c_883890,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_883834]) ).
tff(c_883891,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_881455]) ).
tff(c_883893,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_883891]) ).
tff(c_884043,plain,
! [X_12607] :
( product(X_12607,e_2,e_4)
| ~ product(X_12607,e_6,e_2) ),
inference(resolution,[status(thm)],[c_883893,c_124]) ).
tff(c_884051,plain,
product(e_3,e_2,e_4),
inference(resolution,[status(thm)],[c_868498,c_884043]) ).
tff(c_884075,plain,
( equalish(e_2,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_884051,c_2639]) ).
tff(c_884095,plain,
( equalish(e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_884075]) ).
tff(c_884096,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_884095]) ).
tff(c_884406,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_884096]) ).
tff(c_884435,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_884406,c_2268]) ).
tff(c_884490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_884435]) ).
tff(c_884491,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_884096]) ).
tff(c_884517,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_884491]) ).
tff(c_884782,plain,
! [X_12625] :
( product(X_12625,e_3,e_3)
| ~ product(X_12625,e_1,e_3) ),
inference(resolution,[status(thm)],[c_884517,c_124]) ).
tff(c_884619,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_884517,c_120]) ).
tff(c_884786,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_884782,c_884619]) ).
tff(c_884820,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_884517,c_884786]) ).
tff(c_884822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_884820]) ).
tff(c_884823,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_884491]) ).
tff(c_884836,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_884823,c_868541]) ).
tff(c_884883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_884836]) ).
tff(c_884884,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_883891]) ).
tff(c_884886,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_884884]) ).
tff(c_884953,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_884886,c_868542]) ).
tff(c_884980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_884953]) ).
tff(c_884981,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_884884]) ).
tff(c_856466,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_6,e_3) ),
inference(resolution,[status(thm)],[c_856431,c_122]) ).
tff(c_885002,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_884981,c_856466]) ).
tff(c_885030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_885002]) ).
tff(c_885031,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_881382]) ).
tff(c_885097,plain,
product(e_2,e_3,e_2),
inference(splitLeft,[status(thm)],[c_885031]) ).
tff(c_885102,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_885097,c_868820]) ).
tff(c_885122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_885102]) ).
tff(c_885123,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_885031]) ).
tff(c_885125,plain,
product(e_2,e_3,e_4),
inference(splitLeft,[status(thm)],[c_885123]) ).
tff(c_885271,plain,
! [X_12636] :
( product(X_12636,e_2,e_4)
| ~ product(X_12636,e_3,e_2) ),
inference(resolution,[status(thm)],[c_885125,c_124]) ).
tff(c_885275,plain,
product(e_6,e_2,e_4),
inference(resolution,[status(thm)],[c_868630,c_885271]) ).
tff(c_885415,plain,
! [X_12640] :
( product(X_12640,e_6,e_4)
| ~ product(X_12640,e_2,e_6) ),
inference(resolution,[status(thm)],[c_885275,c_124]) ).
tff(c_885432,plain,
( equalish(e_4,e_2)
| ~ product(e_3,e_2,e_6) ),
inference(resolution,[status(thm)],[c_885415,c_868543]) ).
tff(c_885466,plain,
~ product(e_3,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_88,c_885432]) ).
tff(c_885499,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_885466]) ).
tff(c_885502,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_46,c_885499]) ).
tff(c_887144,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_885502]) ).
tff(c_887332,plain,
! [X_12691] :
( product(X_12691,e_3,e_1)
| ~ product(X_12691,e_2,e_3) ),
inference(resolution,[status(thm)],[c_887144,c_124]) ).
tff(c_887605,plain,
! [X_12703,X_12704] :
( product(X_12703,X_12704,e_1)
| ~ product(X_12703,e_3,X_12704)
| ~ product(X_12704,e_2,e_3) ),
inference(resolution,[status(thm)],[c_887332,c_124]) ).
tff(c_887640,plain,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[c_885125,c_887605]) ).
tff(c_887666,plain,
~ product(e_4,e_2,e_3),
inference(splitLeft,[status(thm)],[c_887640]) ).
tff(c_885313,plain,
! [X_18] :
( product(X_18,e_6,e_4)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_885275,c_124]) ).
tff(c_885631,plain,
! [X_12648,X_12649] :
( product(X_12648,X_12649,e_4)
| ~ product(X_12648,e_6,X_12649)
| ~ product(X_12649,e_2,e_6) ),
inference(resolution,[status(thm)],[c_885415,c_124]) ).
tff(c_885666,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_2,e_6)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_885313,c_885631]) ).
tff(c_885696,plain,
~ product(e_4,e_2,e_6),
inference(splitLeft,[status(thm)],[c_885666]) ).
tff(c_885786,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_885696]) ).
tff(c_885789,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_46,c_885786]) ).
tff(c_888741,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_887666,c_885789]) ).
tff(c_888742,plain,
product(e_4,e_2,e_1),
inference(splitLeft,[status(thm)],[c_888741]) ).
tff(c_887210,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_887144,c_122]) ).
tff(c_888759,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_888742,c_887210]) ).
tff(c_888802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_888759]) ).
tff(c_888803,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_888741]) ).
tff(c_888805,plain,
product(e_4,e_2,e_5),
inference(splitLeft,[status(thm)],[c_888803]) ).
tff(c_888847,plain,
! [W_12755] :
( equalish(W_12755,e_2)
| ~ product(e_4,W_12755,e_5) ),
inference(resolution,[status(thm)],[c_888805,c_120]) ).
tff(c_888862,plain,
( equalish(e_6,e_2)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_856709,c_888847]) ).
tff(c_888893,plain,
( equalish(e_6,e_2)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_888862]) ).
tff(c_888894,plain,
( product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_888893]) ).
tff(c_890714,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_888894]) ).
tff(c_885460,plain,
! [X_12640] :
( product(X_12640,e_4,e_2)
| ~ product(e_4,e_3,e_6)
| ~ product(X_12640,e_2,e_6) ),
inference(resolution,[status(thm)],[c_885415,c_868969]) ).
tff(c_885624,plain,
~ product(e_4,e_3,e_6),
inference(splitLeft,[status(thm)],[c_885460]) ).
tff(c_885627,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_885624]) ).
tff(c_885630,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_48,c_885627]) ).
tff(c_885790,plain,
product(e_4,e_3,e_1),
inference(splitLeft,[status(thm)],[c_885630]) ).
tff(c_885830,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_4,W_11,e_1) ),
inference(resolution,[status(thm)],[c_885790,c_120]) ).
tff(c_890727,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_890714,c_885830]) ).
tff(c_890772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_890727]) ).
tff(c_890773,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_888894]) ).
tff(c_890775,plain,
product(e_4,e_6,e_4),
inference(splitLeft,[status(thm)],[c_890773]) ).
tff(c_890949,plain,
! [X_12794] :
( product(X_12794,e_4,e_4)
| ~ product(X_12794,e_6,e_4) ),
inference(resolution,[status(thm)],[c_890775,c_124]) ).
tff(c_890956,plain,
product(e_4,e_4,e_4),
inference(resolution,[status(thm)],[c_890775,c_890949]) ).
tff(c_890826,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_890775,c_120]) ).
tff(c_890960,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_890956,c_890826]) ).
tff(c_890995,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_890960]) ).
tff(c_890996,plain,
( product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_890773]) ).
tff(c_891002,plain,
product(e_4,e_6,e_2),
inference(splitLeft,[status(thm)],[c_890996]) ).
tff(c_891019,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_891002,c_868542]) ).
tff(c_891047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_891019]) ).
tff(c_891048,plain,
product(e_4,e_6,e_3),
inference(splitRight,[status(thm)],[c_890996]) ).
tff(c_888807,plain,
( equalish(e_2,e_1)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_888805,c_1940]) ).
tff(c_888827,plain,
( equalish(e_2,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_888807]) ).
tff(c_888828,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_888827]) ).
tff(c_889347,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_888828]) ).
tff(c_889374,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_889347,c_885830]) ).
tff(c_889455,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_889374]) ).
tff(c_889456,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_888828]) ).
tff(c_889534,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_889456]) ).
tff(c_889845,plain,
! [X_12773] :
( product(X_12773,e_4,e_4)
| ~ product(X_12773,e_1,e_4) ),
inference(resolution,[status(thm)],[c_889534,c_124]) ).
tff(c_889668,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_889534,c_120]) ).
tff(c_889849,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_889845,c_889668]) ).
tff(c_889886,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_889534,c_889849]) ).
tff(c_889888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_889886]) ).
tff(c_889889,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_889456]) ).
tff(c_889898,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_889889]) ).
tff(c_889937,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_889898,c_311]) ).
tff(c_890018,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_889937]) ).
tff(c_890020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_887666,c_890018]) ).
tff(c_890021,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_889889]) ).
tff(c_890161,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_3) ),
inference(resolution,[status(thm)],[c_890021,c_120]) ).
tff(c_891058,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_891048,c_890161]) ).
tff(c_891096,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_891058]) ).
tff(c_891097,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_888803]) ).
tff(c_891141,plain,
product(e_4,e_2,e_2),
inference(splitLeft,[status(thm)],[c_891097]) ).
tff(c_885124,plain,
~ product(e_2,e_3,e_2),
inference(splitRight,[status(thm)],[c_885031]) ).
tff(c_885185,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_2,W_11,e_4) ),
inference(resolution,[status(thm)],[c_885125,c_120]) ).
tff(c_885423,plain,
( equalish(e_6,e_3)
| ~ product(e_2,e_2,e_6) ),
inference(resolution,[status(thm)],[c_885415,c_885185]) ).
tff(c_885459,plain,
~ product(e_2,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_110,c_885423]) ).
tff(c_885493,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_885459]) ).
tff(c_885496,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_885493]) ).
tff(c_886164,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_885496]) ).
tff(c_885939,plain,
! [X_12655] :
( product(X_12655,e_4,e_1)
| ~ product(X_12655,e_3,e_4) ),
inference(resolution,[status(thm)],[c_885790,c_124]) ).
tff(c_885990,plain,
! [W_11,X_12655] :
( equalish(W_11,e_4)
| ~ product(X_12655,W_11,e_1)
| ~ product(X_12655,e_3,e_4) ),
inference(resolution,[status(thm)],[c_885939,c_120]) ).
tff(c_886166,plain,
( equalish(e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[c_886164,c_885990]) ).
tff(c_886193,plain,
equalish(e_2,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_885125,c_886166]) ).
tff(c_886195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_886193]) ).
tff(c_886196,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_885496]) ).
tff(c_886198,plain,
product(e_2,e_2,e_5),
inference(splitLeft,[status(thm)],[c_886196]) ).
tff(c_886248,plain,
! [W_12667] :
( equalish(W_12667,e_2)
| ~ product(e_2,W_12667,e_5) ),
inference(resolution,[status(thm)],[c_886198,c_120]) ).
tff(c_886263,plain,
( equalish(e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_856709,c_886248]) ).
tff(c_886294,plain,
( equalish(e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_886263]) ).
tff(c_886295,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_886294]) ).
tff(c_886773,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_886295]) ).
tff(c_886775,plain,
( equalish(e_6,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[c_886773,c_885990]) ).
tff(c_886807,plain,
equalish(e_6,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_885125,c_886775]) ).
tff(c_886809,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_886807]) ).
tff(c_886810,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_886295]) ).
tff(c_886812,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_886810]) ).
tff(c_886824,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_886812,c_885185]) ).
tff(c_886853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_886824]) ).
tff(c_886854,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_886810]) ).
tff(c_886860,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_886854]) ).
tff(c_886877,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_886860,c_868542]) ).
tff(c_886904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_886877]) ).
tff(c_886905,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_886854]) ).
tff(c_868540,plain,
! [X_18] :
( product(X_18,e_3,e_2)
| ~ product(X_18,e_6,e_3) ),
inference(resolution,[status(thm)],[c_868498,c_124]) ).
tff(c_886923,plain,
product(e_2,e_3,e_2),
inference(resolution,[status(thm)],[c_886905,c_868540]) ).
tff(c_886955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_885124,c_886923]) ).
tff(c_886956,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_886196]) ).
tff(c_887000,plain,
product(e_2,e_2,e_2),
inference(splitLeft,[status(thm)],[c_886956]) ).
tff(c_887046,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_887000,c_122]) ).
tff(c_891150,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_891141,c_887046]) ).
tff(c_891175,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_891150]) ).
tff(c_891176,plain,
product(e_4,e_2,e_4),
inference(splitRight,[status(thm)],[c_891097]) ).
tff(c_885315,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_4) ),
inference(resolution,[status(thm)],[c_885275,c_122]) ).
tff(c_891182,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_891176,c_885315]) ).
tff(c_891207,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_891182]) ).
tff(c_891209,plain,
product(e_4,e_2,e_3),
inference(splitRight,[status(thm)],[c_887640]) ).
tff(c_891571,plain,
! [X_12804] :
( product(X_12804,e_4,e_3)
| ~ product(X_12804,e_2,e_4) ),
inference(resolution,[status(thm)],[c_891209,c_124]) ).
tff(c_891588,plain,
( equalish(e_4,e_6)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_891571,c_856465]) ).
tff(c_891617,plain,
equalish(e_4,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_885275,c_891588]) ).
tff(c_891619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_891617]) ).
tff(c_891620,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_885502]) ).
tff(c_891622,plain,
product(e_3,e_2,e_5),
inference(splitLeft,[status(thm)],[c_891620]) ).
tff(c_891853,plain,
! [X_12808] :
( product(X_12808,e_3,e_5)
| ~ product(X_12808,e_2,e_3) ),
inference(resolution,[status(thm)],[c_891622,c_124]) ).
tff(c_885832,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_4,e_3,W_8) ),
inference(resolution,[status(thm)],[c_885790,c_118]) ).
tff(c_891861,plain,
( equalish(e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[c_891853,c_885832]) ).
tff(c_891892,plain,
~ product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_96,c_891861]) ).
tff(c_892226,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_891892,c_885789]) ).
tff(c_892227,plain,
product(e_4,e_2,e_1),
inference(splitLeft,[status(thm)],[c_892226]) ).
tff(c_892232,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_892227,c_885830]) ).
tff(c_892262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_892232]) ).
tff(c_892263,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_892226]) ).
tff(c_892265,plain,
product(e_4,e_2,e_5),
inference(splitLeft,[status(thm)],[c_892263]) ).
tff(c_891662,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_2,e_5) ),
inference(resolution,[status(thm)],[c_891622,c_122]) ).
tff(c_892270,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_892265,c_891662]) ).
tff(c_892295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_892270]) ).
tff(c_892296,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_892263]) ).
tff(c_892348,plain,
product(e_4,e_2,e_2),
inference(splitLeft,[status(thm)],[c_892296]) ).
tff(c_892351,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_892348,c_887046]) ).
tff(c_892376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_892351]) ).
tff(c_892377,plain,
product(e_4,e_2,e_4),
inference(splitRight,[status(thm)],[c_892296]) ).
tff(c_892383,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_892377,c_885315]) ).
tff(c_892408,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_892383]) ).
tff(c_892409,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_891620]) ).
tff(c_892453,plain,
product(e_3,e_2,e_2),
inference(splitLeft,[status(thm)],[c_892409]) ).
tff(c_892456,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_892453,c_887046]) ).
tff(c_892484,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_892456]) ).
tff(c_892485,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_892409]) ).
tff(c_892495,plain,
product(e_3,e_2,e_4),
inference(splitLeft,[status(thm)],[c_892485]) ).
tff(c_892500,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_892495,c_885315]) ).
tff(c_892525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_892500]) ).
tff(c_892526,plain,
product(e_3,e_2,e_3),
inference(splitRight,[status(thm)],[c_892485]) ).
tff(c_892677,plain,
! [X_12824] :
( product(X_12824,e_3,e_3)
| ~ product(X_12824,e_2,e_3) ),
inference(resolution,[status(thm)],[c_892526,c_124]) ).
tff(c_892574,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_892526,c_120]) ).
tff(c_892681,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_892677,c_892574]) ).
tff(c_892716,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_892526,c_892681]) ).
tff(c_892718,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_892716]) ).
tff(c_892719,plain,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_886956]) ).
tff(c_892721,plain,
product(e_2,e_2,e_4),
inference(splitLeft,[status(thm)],[c_892719]) ).
tff(c_892726,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_892721,c_885315]) ).
tff(c_892754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_892726]) ).
tff(c_892755,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_892719]) ).
tff(c_892769,plain,
( equalish(e_2,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_892755,c_312]) ).
tff(c_892798,plain,
( equalish(e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_892769]) ).
tff(c_892800,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_66,c_892798]) ).
tff(c_892801,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_885630]) ).
tff(c_892803,plain,
product(e_4,e_3,e_5),
inference(splitLeft,[status(thm)],[c_892801]) ).
tff(c_892805,plain,
( equalish(e_3,e_1)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_892803,c_1940]) ).
tff(c_892820,plain,
( equalish(e_3,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_892805]) ).
tff(c_892821,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_76,c_892820]) ).
tff(c_893252,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_892821]) ).
tff(c_893283,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_893252,c_2268]) ).
tff(c_893342,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_893283]) ).
tff(c_893343,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_892821]) ).
tff(c_893415,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_893343]) ).
tff(c_893686,plain,
! [X_12842] :
( product(X_12842,e_4,e_4)
| ~ product(X_12842,e_1,e_4) ),
inference(resolution,[status(thm)],[c_893415,c_124]) ).
tff(c_893525,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_893415,c_120]) ).
tff(c_893690,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_893686,c_893525]) ).
tff(c_893722,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_893415,c_893690]) ).
tff(c_893724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_893722]) ).
tff(c_893725,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_893343]) ).
tff(c_893734,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_893725]) ).
tff(c_893763,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_893734,c_311]) ).
tff(c_893826,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_893763]) ).
tff(c_893827,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_893826]) ).
tff(c_894226,plain,
! [X_12850] :
( product(X_12850,e_4,e_3)
| ~ product(X_12850,e_2,e_4) ),
inference(resolution,[status(thm)],[c_893827,c_124]) ).
tff(c_894239,plain,
( equalish(e_4,e_6)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_894226,c_856465]) ).
tff(c_894265,plain,
equalish(e_4,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_885275,c_894239]) ).
tff(c_894267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_894265]) ).
tff(c_894268,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_893725]) ).
tff(c_894383,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_894268,c_124]) ).
tff(c_894547,plain,
! [X_12854] :
( product(X_12854,e_4,e_3)
| ~ product(X_12854,e_1,e_4) ),
inference(resolution,[status(thm)],[c_894268,c_124]) ).
tff(c_894721,plain,
! [X_12862,X_12863] :
( product(X_12862,X_12863,e_3)
| ~ product(X_12862,e_4,X_12863)
| ~ product(X_12863,e_1,e_4) ),
inference(resolution,[status(thm)],[c_894547,c_124]) ).
tff(c_894750,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_894383,c_894721]) ).
tff(c_894779,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_894750]) ).
tff(c_894782,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_894779]) ).
tff(c_894785,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_894782]) ).
tff(c_894793,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_894785]) ).
tff(c_894824,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_894793,c_2268]) ).
tff(c_894883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_894824]) ).
tff(c_894884,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_894785]) ).
tff(c_894910,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_894884]) ).
tff(c_894386,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_894268,c_122]) ).
tff(c_894990,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_894910,c_894386]) ).
tff(c_895043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_894990]) ).
tff(c_895044,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_894884]) ).
tff(c_895059,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_895044,c_868541]) ).
tff(c_895110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_895059]) ).
tff(c_895380,plain,
! [X_12867] :
( product(X_12867,e_3,e_3)
| ~ product(X_12867,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_894750]) ).
tff(c_894598,plain,
! [W_11,X_12854] :
( equalish(W_11,e_4)
| ~ product(X_12854,W_11,e_3)
| ~ product(X_12854,e_1,e_4) ),
inference(resolution,[status(thm)],[c_894547,c_120]) ).
tff(c_895382,plain,
! [X_12867] :
( equalish(e_3,e_4)
| ~ product(X_12867,e_1,e_4) ),
inference(resolution,[status(thm)],[c_895380,c_894598]) ).
tff(c_895421,plain,
! [X_12867] : ~ product(X_12867,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_80,c_895382]) ).
tff(c_895112,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_894750]) ).
tff(c_895454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_895421,c_895112]) ).
tff(c_895455,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_892801]) ).
tff(c_895499,plain,
product(e_4,e_3,e_2),
inference(splitLeft,[status(thm)],[c_895455]) ).
tff(c_895515,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_895499,c_868820]) ).
tff(c_895536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_895515]) ).
tff(c_895537,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_895455]) ).
tff(c_895539,plain,
product(e_4,e_3,e_4),
inference(splitLeft,[status(thm)],[c_895537]) ).
tff(c_885186,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_3,e_4) ),
inference(resolution,[status(thm)],[c_885125,c_122]) ).
tff(c_895544,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_895539,c_885186]) ).
tff(c_895564,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_895544]) ).
tff(c_895565,plain,
product(e_4,e_3,e_3),
inference(splitRight,[status(thm)],[c_895537]) ).
tff(c_895693,plain,
! [X_12872] :
( product(X_12872,e_4,e_3)
| ~ product(X_12872,e_3,e_4) ),
inference(resolution,[status(thm)],[c_895565,c_124]) ).
tff(c_895707,plain,
! [X_12872] :
( equalish(e_4,e_1)
| ~ next(X_12872,e_3)
| product(X_12872,e_1,e_2)
| product(X_12872,e_1,e_1)
| ~ group_element(X_12872)
| ~ product(X_12872,e_3,e_4) ),
inference(resolution,[status(thm)],[c_895693,c_312]) ).
tff(c_895899,plain,
! [X_12882] :
( ~ next(X_12882,e_3)
| product(X_12882,e_1,e_2)
| product(X_12882,e_1,e_1)
| ~ group_element(X_12882)
| ~ product(X_12882,e_3,e_4) ),
inference(negUnitSimplification,[status(thm)],[c_86,c_895707]) ).
tff(c_895902,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_885125,c_895899]) ).
tff(c_895905,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_895902]) ).
tff(c_895907,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_895905]) ).
tff(c_896136,plain,
! [X_12888] :
( product(X_12888,e_4,e_4)
| ~ product(X_12888,e_2,e_6) ),
inference(splitRight,[status(thm)],[c_885666]) ).
tff(c_885482,plain,
! [W_11,X_12640] :
( equalish(W_11,e_6)
| ~ product(X_12640,W_11,e_4)
| ~ product(X_12640,e_2,e_6) ),
inference(resolution,[status(thm)],[c_885415,c_120]) ).
tff(c_896138,plain,
! [X_12888] :
( equalish(e_4,e_6)
| ~ product(X_12888,e_2,e_6) ),
inference(resolution,[status(thm)],[c_896136,c_885482]) ).
tff(c_896163,plain,
! [X_12888] : ~ product(X_12888,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_94,c_896138]) ).
tff(c_895909,plain,
product(e_4,e_2,e_6),
inference(splitRight,[status(thm)],[c_885666]) ).
tff(c_896183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_896163,c_895909]) ).
tff(c_896185,plain,
product(e_4,e_3,e_6),
inference(splitRight,[status(thm)],[c_885460]) ).
tff(c_896194,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_896185,c_869005]) ).
tff(c_896221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_896194]) ).
tff(c_896222,plain,
product(e_2,e_3,e_3),
inference(splitRight,[status(thm)],[c_885123]) ).
tff(c_896229,plain,
( equalish(e_3,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_896222,c_312]) ).
tff(c_896250,plain,
( equalish(e_3,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_896229]) ).
tff(c_896252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_76,c_896250]) ).
tff(c_896253,plain,
product(e_3,e_2,e_2),
inference(splitRight,[status(thm)],[c_869136]) ).
tff(c_896259,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_896253,c_868541]) ).
tff(c_896285,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_896259]) ).
tff(c_896286,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_5) ),
inference(splitRight,[status(thm)],[c_868490]) ).
tff(c_896288,plain,
product(e_3,e_6,e_5),
inference(splitLeft,[status(thm)],[c_896286]) ).
tff(c_896675,plain,
! [X_12897] :
( product(X_12897,e_3,e_5)
| ~ product(X_12897,e_6,e_3) ),
inference(resolution,[status(thm)],[c_896288,c_124]) ).
tff(c_896679,plain,
product(e_6,e_3,e_5),
inference(resolution,[status(thm)],[c_856431,c_896675]) ).
tff(c_896889,plain,
! [X_12901] :
( product(X_12901,e_6,e_5)
| ~ product(X_12901,e_3,e_6) ),
inference(resolution,[status(thm)],[c_896679,c_124]) ).
tff(c_897137,plain,
! [X_12910,X_12911] :
( product(X_12910,X_12911,e_5)
| ~ product(X_12910,e_6,X_12911)
| ~ product(X_12911,e_3,e_6) ),
inference(resolution,[status(thm)],[c_896889,c_124]) ).
tff(c_897174,plain,
( product(e_3,e_5,e_5)
| ~ product(e_5,e_3,e_6) ),
inference(resolution,[status(thm)],[c_896288,c_897137]) ).
tff(c_897200,plain,
~ product(e_5,e_3,e_6),
inference(splitLeft,[status(thm)],[c_897174]) ).
tff(c_897203,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_897200]) ).
tff(c_897206,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_48,c_897203]) ).
tff(c_897238,plain,
product(e_5,e_3,e_1),
inference(splitLeft,[status(thm)],[c_897206]) ).
tff(c_897277,plain,
! [X_18] :
( product(X_18,e_5,e_1)
| ~ product(X_18,e_3,e_5) ),
inference(resolution,[status(thm)],[c_897238,c_124]) ).
tff(c_897387,plain,
! [X_12920] :
( product(X_12920,e_5,e_1)
| ~ product(X_12920,e_3,e_5) ),
inference(resolution,[status(thm)],[c_897238,c_124]) ).
tff(c_897402,plain,
( equalish(e_5,e_1)
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[c_897387,c_2267]) ).
tff(c_897429,plain,
~ product(e_1,e_3,e_5),
inference(negUnitSimplification,[status(thm)],[c_96,c_897402]) ).
tff(c_897569,plain,
! [W_12922,X_12923] :
( equalish(W_12922,e_1)
| ~ product(X_12923,e_5,W_12922)
| ~ product(X_12923,e_3,e_5) ),
inference(resolution,[status(thm)],[c_897387,c_118]) ).
tff(c_897584,plain,
( equalish(e_5,e_1)
| ~ product(e_6,e_3,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_461971,c_897569]) ).
tff(c_897617,plain,
( equalish(e_5,e_1)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_896679,c_897584]) ).
tff(c_897618,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_897617]) ).
tff(c_897827,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_897618]) ).
tff(c_898065,plain,
! [X_12938] :
( product(X_12938,e_6,e_1)
| ~ product(X_12938,e_5,e_6) ),
inference(resolution,[status(thm)],[c_897827,c_124]) ).
tff(c_896941,plain,
! [X_18,X_12901] :
( product(X_18,X_12901,e_5)
| ~ product(X_18,e_6,X_12901)
| ~ product(X_12901,e_3,e_6) ),
inference(resolution,[status(thm)],[c_896889,c_124]) ).
tff(c_898130,plain,
! [X_12938] :
( product(X_12938,e_1,e_5)
| ~ product(e_1,e_3,e_6)
| ~ product(X_12938,e_5,e_6) ),
inference(resolution,[status(thm)],[c_898065,c_896941]) ).
tff(c_898559,plain,
~ product(e_1,e_3,e_6),
inference(splitLeft,[status(thm)],[c_898130]) ).
tff(c_898562,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_898559]) ).
tff(c_898565,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_48,c_898562]) ).
tff(c_898566,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_897429,c_898565]) ).
tff(c_898567,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_898566]) ).
tff(c_897279,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_897238,c_122]) ).
tff(c_898574,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_898567,c_897279]) ).
tff(c_898604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_898574]) ).
tff(c_898605,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_898566]) ).
tff(c_898607,plain,
product(e_1,e_3,e_4),
inference(splitLeft,[status(thm)],[c_898605]) ).
tff(c_898719,plain,
! [X_12957] :
( product(X_12957,e_1,e_4)
| ~ product(X_12957,e_3,e_1) ),
inference(resolution,[status(thm)],[c_898607,c_124]) ).
tff(c_898723,plain,
product(e_5,e_1,e_4),
inference(resolution,[status(thm)],[c_897238,c_898719]) ).
tff(c_898978,plain,
! [X_12961] :
( product(X_12961,e_5,e_4)
| ~ product(X_12961,e_1,e_5) ),
inference(resolution,[status(thm)],[c_898723,c_124]) ).
tff(c_897886,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_6,e_5,W_8) ),
inference(resolution,[status(thm)],[c_897827,c_118]) ).
tff(c_898990,plain,
( equalish(e_4,e_1)
| ~ product(e_6,e_1,e_5) ),
inference(resolution,[status(thm)],[c_898978,c_897886]) ).
tff(c_899018,plain,
~ product(e_6,e_1,e_5),
inference(negUnitSimplification,[status(thm)],[c_86,c_898990]) ).
tff(c_899128,plain,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_461971,c_899018]) ).
tff(c_899152,plain,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_899128]) ).
tff(c_899511,plain,
product(e_6,e_1,e_1),
inference(splitLeft,[status(thm)],[c_899152]) ).
tff(c_897884,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_1) ),
inference(resolution,[status(thm)],[c_897827,c_120]) ).
tff(c_899518,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_899511,c_897884]) ).
tff(c_899579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_899518]) ).
tff(c_899580,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_899152]) ).
tff(c_899606,plain,
product(e_6,e_1,e_4),
inference(splitLeft,[status(thm)],[c_899580]) ).
tff(c_898825,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_898723,c_122]) ).
tff(c_899611,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_899606,c_898825]) ).
tff(c_899665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_899611]) ).
tff(c_899666,plain,
( product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_899580]) ).
tff(c_899675,plain,
product(e_6,e_1,e_2),
inference(splitLeft,[status(thm)],[c_899666]) ).
tff(c_899702,plain,
( product(e_6,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_899675,c_311]) ).
tff(c_899763,plain,
( product(e_6,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_899702]) ).
tff(c_899764,plain,
product(e_6,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_899763]) ).
tff(c_899794,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_899764,c_856465]) ).
tff(c_899821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_899794]) ).
tff(c_899822,plain,
product(e_6,e_1,e_3),
inference(splitRight,[status(thm)],[c_899666]) ).
tff(c_899837,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_899822,c_856465]) ).
tff(c_899892,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_899837]) ).
tff(c_899893,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_898605]) ).
tff(c_899895,plain,
product(e_1,e_3,e_2),
inference(splitLeft,[status(thm)],[c_899893]) ).
tff(c_900007,plain,
! [X_12977] :
( product(X_12977,e_1,e_2)
| ~ product(X_12977,e_3,e_1) ),
inference(resolution,[status(thm)],[c_899895,c_124]) ).
tff(c_900011,plain,
product(e_5,e_1,e_2),
inference(resolution,[status(thm)],[c_897238,c_900007]) ).
tff(c_900038,plain,
( product(e_5,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_900011,c_311]) ).
tff(c_900097,plain,
( product(e_5,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_900038]) ).
tff(c_900098,plain,
product(e_5,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_900097]) ).
tff(c_900107,plain,
! [X_18] :
( product(X_18,e_5,e_2)
| ~ product(X_18,e_1,e_5) ),
inference(resolution,[status(thm)],[c_900011,c_124]) ).
tff(c_900409,plain,
! [X_12984] :
( product(X_12984,e_5,e_2)
| ~ product(X_12984,e_1,e_5) ),
inference(resolution,[status(thm)],[c_900011,c_124]) ).
tff(c_901118,plain,
! [X_13001,X_13002] :
( product(X_13001,X_13002,e_2)
| ~ product(X_13001,e_5,X_13002)
| ~ product(X_13002,e_1,e_5) ),
inference(resolution,[status(thm)],[c_900409,c_124]) ).
tff(c_901152,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_1,e_5)
| ~ product(X_18,e_1,e_5) ),
inference(resolution,[status(thm)],[c_900107,c_901118]) ).
tff(c_901805,plain,
~ product(e_2,e_1,e_5),
inference(splitLeft,[status(thm)],[c_901152]) ).
tff(c_900036,plain,
( product(e_5,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_900011,c_219]) ).
tff(c_900093,plain,
( product(e_5,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_900036]) ).
tff(c_900094,plain,
( product(e_5,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_900093]) ).
tff(c_902473,plain,
( product(e_5,e_2,e_6)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_901805,c_900094]) ).
tff(c_902474,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_902473]) ).
tff(c_902783,plain,
! [X_13031] :
( product(X_13031,e_2,e_3)
| ~ product(X_13031,e_1,e_2) ),
inference(resolution,[status(thm)],[c_902474,c_124]) ).
tff(c_903054,plain,
! [X_13040,X_13041] :
( product(X_13040,X_13041,e_3)
| ~ product(X_13040,e_2,X_13041)
| ~ product(X_13041,e_1,e_2) ),
inference(resolution,[status(thm)],[c_902783,c_124]) ).
tff(c_903086,plain,
( product(e_5,e_3,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c_900098,c_903054]) ).
tff(c_903112,plain,
~ product(e_3,e_1,e_2),
inference(splitLeft,[status(thm)],[c_903086]) ).
tff(c_900157,plain,
! [X_18] :
( product(X_18,e_5,e_3)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_900098,c_124]) ).
tff(c_901151,plain,
! [X_18] :
( product(X_18,e_3,e_2)
| ~ product(e_3,e_1,e_5)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_900157,c_901118]) ).
tff(c_901864,plain,
~ product(e_3,e_1,e_5),
inference(splitLeft,[status(thm)],[c_901151]) ).
tff(c_902804,plain,
( equalish(e_2,e_6)
| ~ product(e_6,e_1,e_2) ),
inference(resolution,[status(thm)],[c_902783,c_856465]) ).
tff(c_902842,plain,
~ product(e_6,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_74,c_902804]) ).
tff(c_900421,plain,
( equalish(e_2,e_1)
| ~ product(e_6,e_1,e_5) ),
inference(resolution,[status(thm)],[c_900409,c_897886]) ).
tff(c_900449,plain,
~ product(e_6,e_1,e_5),
inference(negUnitSimplification,[status(thm)],[c_66,c_900421]) ).
tff(c_900559,plain,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_461971,c_900449]) ).
tff(c_900583,plain,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_900559]) ).
tff(c_905164,plain,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_902842,c_900583]) ).
tff(c_905165,plain,
product(e_6,e_1,e_1),
inference(splitLeft,[status(thm)],[c_905164]) ).
tff(c_905194,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_905165,c_897884]) ).
tff(c_905285,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_905194]) ).
tff(c_905286,plain,
( product(e_6,e_1,e_3)
| product(e_6,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_905164]) ).
tff(c_905354,plain,
product(e_6,e_1,e_4),
inference(splitLeft,[status(thm)],[c_905286]) ).
tff(c_905717,plain,
! [X_13077] :
( product(X_13077,e_6,e_4)
| ~ product(X_13077,e_1,e_6) ),
inference(resolution,[status(thm)],[c_905354,c_124]) ).
tff(c_896327,plain,
! [W_8] :
( equalish(W_8,e_5)
| ~ product(e_3,e_6,W_8) ),
inference(resolution,[status(thm)],[c_896288,c_118]) ).
tff(c_905735,plain,
( equalish(e_4,e_5)
| ~ product(e_3,e_1,e_6) ),
inference(resolution,[status(thm)],[c_905717,c_896327]) ).
tff(c_905770,plain,
~ product(e_3,e_1,e_6),
inference(negUnitSimplification,[status(thm)],[c_92,c_905735]) ).
tff(c_905797,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_905770]) ).
tff(c_905800,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_44,c_905797]) ).
tff(c_905801,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_903112,c_901864,c_905800]) ).
tff(c_906090,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_905801]) ).
tff(c_906147,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_906090,c_2268]) ).
tff(c_906240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_906147]) ).
tff(c_906241,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_905801]) ).
tff(c_906311,plain,
product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_906241]) ).
tff(c_905489,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_905354,c_122]) ).
tff(c_906316,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_906311,c_905489]) ).
tff(c_906382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_906316]) ).
tff(c_906383,plain,
product(e_3,e_1,e_3),
inference(splitRight,[status(thm)],[c_906241]) ).
tff(c_902600,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_902474,c_122]) ).
tff(c_906578,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_906383,c_902600]) ).
tff(c_906655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_906578]) ).
tff(c_906656,plain,
product(e_6,e_1,e_3),
inference(splitRight,[status(thm)],[c_905286]) ).
tff(c_906675,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_906656,c_902600]) ).
tff(c_906751,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_906675]) ).
tff(c_906752,plain,
product(e_5,e_3,e_3),
inference(splitRight,[status(thm)],[c_903086]) ).
tff(c_902863,plain,
! [W_11,X_13031] :
( equalish(W_11,e_2)
| ~ product(X_13031,W_11,e_3)
| ~ product(X_13031,e_1,e_2) ),
inference(resolution,[status(thm)],[c_902783,c_120]) ).
tff(c_906755,plain,
( equalish(e_3,e_2)
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[c_906752,c_902863]) ).
tff(c_906782,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_900011,c_906755]) ).
tff(c_906784,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_906782]) ).
tff(c_906786,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_902473]) ).
tff(c_906789,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_906786]) ).
tff(c_906792,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_906789]) ).
tff(c_906794,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_906792]) ).
tff(c_906796,plain,
product(e_3,e_1,e_5),
inference(splitRight,[status(thm)],[c_901151]) ).
tff(c_896325,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_5) ),
inference(resolution,[status(thm)],[c_896288,c_120]) ).
tff(c_906807,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_906796,c_896325]) ).
tff(c_906866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_906807]) ).
tff(c_906867,plain,
product(e_1,e_3,e_3),
inference(splitRight,[status(thm)],[c_899893]) ).
tff(c_906995,plain,
! [X_13094] :
( product(X_13094,e_1,e_3)
| ~ product(X_13094,e_3,e_1) ),
inference(resolution,[status(thm)],[c_906867,c_124]) ).
tff(c_906999,plain,
product(e_5,e_1,e_3),
inference(resolution,[status(thm)],[c_897238,c_906995]) ).
tff(c_907767,plain,
! [X_13108] :
( equalish(e_5,X_13108)
| ~ next(X_13108,e_3)
| product(X_13108,e_1,e_2)
| product(X_13108,e_1,e_1)
| ~ group_element(X_13108) ),
inference(resolution,[status(thm)],[c_906999,c_314]) ).
tff(c_907801,plain,
( equalish(e_5,e_2)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_907767,c_1484]) ).
tff(c_907856,plain,
( equalish(e_5,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_907801]) ).
tff(c_907858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_98,c_907856]) ).
tff(c_907860,plain,
product(e_1,e_3,e_6),
inference(splitRight,[status(thm)],[c_898130]) ).
tff(c_896997,plain,
! [W_12905,X_12906] :
( equalish(W_12905,X_12906)
| ~ product(W_12905,e_6,e_5)
| ~ product(X_12906,e_3,e_6) ),
inference(resolution,[status(thm)],[c_896889,c_122]) ).
tff(c_897029,plain,
! [X_12906] :
( equalish(e_3,X_12906)
| ~ product(X_12906,e_3,e_6) ),
inference(resolution,[status(thm)],[c_896288,c_896997]) ).
tff(c_907863,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_907860,c_897029]) ).
tff(c_907886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_907863]) ).
tff(c_907888,plain,
~ product(e_6,e_5,e_1),
inference(splitRight,[status(thm)],[c_897618]) ).
tff(c_907891,plain,
~ product(e_6,e_3,e_5),
inference(resolution,[status(thm)],[c_897277,c_907888]) ).
tff(c_907895,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_896679,c_907891]) ).
tff(c_907897,plain,
~ product(e_5,e_3,e_1),
inference(splitRight,[status(thm)],[c_897206]) ).
tff(c_907896,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_897206]) ).
tff(c_907992,plain,
product(e_5,e_3,e_5),
inference(splitLeft,[status(thm)],[c_907896]) ).
tff(c_896701,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_3,e_5) ),
inference(resolution,[status(thm)],[c_896679,c_122]) ).
tff(c_907997,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_907992,c_896701]) ).
tff(c_908015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_907997]) ).
tff(c_908017,plain,
~ product(e_5,e_3,e_5),
inference(splitRight,[status(thm)],[c_907896]) ).
tff(c_908016,plain,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_907896]) ).
tff(c_908060,plain,
product(e_5,e_3,e_2),
inference(splitLeft,[status(thm)],[c_908016]) ).
tff(c_908173,plain,
! [X_13115] :
( product(X_13115,e_5,e_2)
| ~ product(X_13115,e_3,e_5) ),
inference(resolution,[status(thm)],[c_908060,c_124]) ).
tff(c_908226,plain,
! [W_13120,X_13121] :
( equalish(W_13120,e_2)
| ~ product(X_13121,e_5,W_13120)
| ~ product(X_13121,e_3,e_5) ),
inference(resolution,[status(thm)],[c_908173,c_118]) ).
tff(c_908241,plain,
( equalish(e_5,e_2)
| ~ product(e_6,e_3,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_461971,c_908226]) ).
tff(c_908274,plain,
( equalish(e_5,e_2)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_896679,c_908241]) ).
tff(c_908275,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_98,c_908274]) ).
tff(c_908441,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_908275]) ).
tff(c_908207,plain,
! [W_8,X_13115] :
( equalish(W_8,e_2)
| ~ product(X_13115,e_5,W_8)
| ~ product(X_13115,e_3,e_5) ),
inference(resolution,[status(thm)],[c_908173,c_118]) ).
tff(c_908446,plain,
( equalish(e_1,e_2)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_908441,c_908207]) ).
tff(c_908469,plain,
equalish(e_1,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_896679,c_908446]) ).
tff(c_908471,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_908469]) ).
tff(c_908472,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_908275]) ).
tff(c_908474,plain,
product(e_6,e_5,e_4),
inference(splitLeft,[status(thm)],[c_908472]) ).
tff(c_908479,plain,
( equalish(e_4,e_2)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_908474,c_908207]) ).
tff(c_908497,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_896679,c_908479]) ).
tff(c_908499,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_908497]) ).
tff(c_908500,plain,
( product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_908472]) ).
tff(c_908518,plain,
product(e_6,e_5,e_2),
inference(splitLeft,[status(thm)],[c_908500]) ).
tff(c_908561,plain,
! [X_18] :
( product(X_18,e_6,e_2)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_908518,c_124]) ).
tff(c_908778,plain,
! [X_13134] :
( product(X_13134,e_6,e_2)
| ~ product(X_13134,e_5,e_6) ),
inference(resolution,[status(thm)],[c_908518,c_124]) ).
tff(c_909008,plain,
! [X_13143,X_13144] :
( product(X_13143,X_13144,e_2)
| ~ product(X_13143,e_6,X_13144)
| ~ product(X_13144,e_5,e_6) ),
inference(resolution,[status(thm)],[c_908778,c_124]) ).
tff(c_909043,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_5,e_6)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_908561,c_909008]) ).
tff(c_909081,plain,
~ product(e_2,e_5,e_6),
inference(splitLeft,[status(thm)],[c_909043]) ).
tff(c_909084,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_909081]) ).
tff(c_909087,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_52,c_909084]) ).
tff(c_918906,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_909087]) ).
tff(c_896287,plain,
~ product(e_3,e_6,e_2),
inference(splitRight,[status(thm)],[c_868490]) ).
tff(c_908838,plain,
~ product(e_3,e_5,e_6),
inference(resolution,[status(thm)],[c_908778,c_896287]) ).
tff(c_908872,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_908838]) ).
tff(c_908875,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_52,c_908872]) ).
tff(c_918566,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_908875]) ).
tff(c_918637,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_918566,c_122]) ).
tff(c_918909,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_918906,c_918637]) ).
tff(c_918951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_918909]) ).
tff(c_918952,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_909087]) ).
tff(c_918958,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_918952]) ).
tff(c_914249,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_909087]) ).
tff(c_913909,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_908875]) ).
tff(c_913980,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_913909,c_122]) ).
tff(c_914252,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_914249,c_913980]) ).
tff(c_914294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_914252]) ).
tff(c_914295,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_909087]) ).
tff(c_914301,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_914295]) ).
tff(c_908087,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_5,W_11,e_2) ),
inference(resolution,[status(thm)],[c_908060,c_120]) ).
tff(c_908788,plain,
( equalish(e_6,e_3)
| ~ product(e_5,e_5,e_6) ),
inference(resolution,[status(thm)],[c_908778,c_908087]) ).
tff(c_908830,plain,
~ product(e_5,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_110,c_908788]) ).
tff(c_908866,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_908830]) ).
tff(c_908869,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_908866]) ).
tff(c_911052,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_908869]) ).
tff(c_908086,plain,
! [X_18] :
( product(X_18,e_5,e_2)
| ~ product(X_18,e_3,e_5) ),
inference(resolution,[status(thm)],[c_908060,c_124]) ).
tff(c_908296,plain,
! [X_13122,X_13123] :
( product(X_13122,X_13123,e_2)
| ~ product(X_13122,e_5,X_13123)
| ~ product(X_13123,e_3,e_5) ),
inference(resolution,[status(thm)],[c_908173,c_124]) ).
tff(c_908323,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_3,e_5)
| ~ product(X_18,e_3,e_5) ),
inference(resolution,[status(thm)],[c_908086,c_908296]) ).
tff(c_908348,plain,
~ product(e_2,e_3,e_5),
inference(splitLeft,[status(thm)],[c_908323]) ).
tff(c_908831,plain,
! [X_13134] :
( product(X_13134,e_2,e_5)
| ~ product(e_2,e_3,e_6)
| ~ product(X_13134,e_5,e_6) ),
inference(resolution,[status(thm)],[c_908778,c_896941]) ).
tff(c_909073,plain,
~ product(e_2,e_3,e_6),
inference(splitLeft,[status(thm)],[c_908831]) ).
tff(c_909076,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_909073]) ).
tff(c_909079,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48,c_909076]) ).
tff(c_909080,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_908348,c_909079]) ).
tff(c_909096,plain,
product(e_2,e_3,e_1),
inference(splitLeft,[status(thm)],[c_909080]) ).
tff(c_909273,plain,
! [X_13152] :
( product(X_13152,e_2,e_1)
| ~ product(X_13152,e_3,e_2) ),
inference(resolution,[status(thm)],[c_909096,c_124]) ).
tff(c_909277,plain,
product(e_5,e_2,e_1),
inference(resolution,[status(thm)],[c_908060,c_909273]) ).
tff(c_909335,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_5,W_11,e_1) ),
inference(resolution,[status(thm)],[c_909277,c_120]) ).
tff(c_911064,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_911052,c_909335]) ).
tff(c_911100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_911064]) ).
tff(c_911101,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_908869]) ).
tff(c_911107,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_911101]) ).
tff(c_911159,plain,
! [W_13197] :
( equalish(W_13197,e_5)
| ~ product(e_5,W_13197,e_5) ),
inference(resolution,[status(thm)],[c_911107,c_120]) ).
tff(c_911178,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_856709,c_911159]) ).
tff(c_911211,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_911178]) ).
tff(c_911212,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_911211]) ).
tff(c_911359,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_911212]) ).
tff(c_911369,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_911359,c_909335]) ).
tff(c_911409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_911369]) ).
tff(c_911410,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_911212]) ).
tff(c_911412,plain,
product(e_5,e_6,e_4),
inference(splitLeft,[status(thm)],[c_911410]) ).
tff(c_911686,plain,
! [X_13205] :
( product(X_13205,e_5,e_4)
| ~ product(X_13205,e_6,e_5) ),
inference(resolution,[status(thm)],[c_911412,c_124]) ).
tff(c_911728,plain,
product(e_3,e_5,e_4),
inference(resolution,[status(thm)],[c_896288,c_911686]) ).
tff(c_911762,plain,
( equalish(e_5,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_911728,c_2639]) ).
tff(c_911787,plain,
( equalish(e_5,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_911762]) ).
tff(c_911788,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_911787]) ).
tff(c_912302,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_911788]) ).
tff(c_912343,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_912302,c_2268]) ).
tff(c_912414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_912343]) ).
tff(c_912415,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_911788]) ).
tff(c_912441,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_912415]) ).
tff(c_912724,plain,
! [X_13224] :
( product(X_13224,e_3,e_3)
| ~ product(X_13224,e_1,e_3) ),
inference(resolution,[status(thm)],[c_912441,c_124]) ).
tff(c_912561,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_912441,c_120]) ).
tff(c_912728,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_912724,c_912561]) ).
tff(c_912763,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_912441,c_912728]) ).
tff(c_912765,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_912763]) ).
tff(c_912766,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_912415]) ).
tff(c_913214,plain,
! [X_13231] :
( product(X_13231,e_3,e_2)
| ~ product(X_13231,e_1,e_3) ),
inference(resolution,[status(thm)],[c_912766,c_124]) ).
tff(c_909166,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_2,e_3,W_8) ),
inference(resolution,[status(thm)],[c_909096,c_118]) ).
tff(c_913229,plain,
( equalish(e_2,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_913214,c_909166]) ).
tff(c_913275,plain,
~ product(e_2,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_66,c_913229]) ).
tff(c_913315,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_913275]) ).
tff(c_913318,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_913315]) ).
tff(c_913320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_913318]) ).
tff(c_913321,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_911410]) ).
tff(c_913422,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_913321]) ).
tff(c_913441,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_913422,c_908087]) ).
tff(c_913475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_913441]) ).
tff(c_913476,plain,
product(e_5,e_6,e_3),
inference(splitRight,[status(thm)],[c_913321]) ).
tff(c_896324,plain,
! [X_18] :
( product(X_18,e_3,e_5)
| ~ product(X_18,e_6,e_3) ),
inference(resolution,[status(thm)],[c_896288,c_124]) ).
tff(c_913500,plain,
product(e_5,e_3,e_5),
inference(resolution,[status(thm)],[c_913476,c_896324]) ).
tff(c_913535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_908017,c_913500]) ).
tff(c_913536,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_911101]) ).
tff(c_913580,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_913536]) ).
tff(c_908563,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_908518,c_122]) ).
tff(c_913590,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_913580,c_908563]) ).
tff(c_913626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_913590]) ).
tff(c_913627,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_913536]) ).
tff(c_913633,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_913627]) ).
tff(c_913679,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_5,e_5) ),
inference(resolution,[status(thm)],[c_913633,c_124]) ).
tff(c_914331,plain,
product(e_2,e_5,e_4),
inference(resolution,[status(thm)],[c_914301,c_913679]) ).
tff(c_913681,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_913633,c_122]) ).
tff(c_914429,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_914331,c_913681]) ).
tff(c_914459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_914429]) ).
tff(c_914460,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_914295]) ).
tff(c_914504,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_914460]) ).
tff(c_909452,plain,
! [X_13156] :
( product(X_13156,e_5,e_1)
| ~ product(X_13156,e_2,e_5) ),
inference(resolution,[status(thm)],[c_909277,c_124]) ).
tff(c_909164,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_2,W_11,e_1) ),
inference(resolution,[status(thm)],[c_909096,c_120]) ).
tff(c_909460,plain,
( equalish(e_5,e_3)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[c_909452,c_909164]) ).
tff(c_909503,plain,
~ product(e_2,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_100,c_909460]) ).
tff(c_908564,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_6,e_5,W_8) ),
inference(resolution,[status(thm)],[c_908518,c_118]) ).
tff(c_909466,plain,
( equalish(e_1,e_2)
| ~ product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[c_909452,c_908564]) ).
tff(c_909509,plain,
~ product(e_6,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_56,c_909466]) ).
tff(c_909618,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_461971,c_909509]) ).
tff(c_909639,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_909618]) ).
tff(c_910139,plain,
product(e_6,e_2,e_1),
inference(splitLeft,[status(thm)],[c_909639]) ).
tff(c_909336,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_909277,c_122]) ).
tff(c_910187,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_910139,c_909336]) ).
tff(c_910219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_910187]) ).
tff(c_910220,plain,
( product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_909639]) ).
tff(c_910222,plain,
product(e_6,e_2,e_4),
inference(splitLeft,[status(thm)],[c_910220]) ).
tff(c_910362,plain,
! [X_13175] :
( product(X_13175,e_6,e_4)
| ~ product(X_13175,e_2,e_6) ),
inference(resolution,[status(thm)],[c_910222,c_124]) ).
tff(c_910577,plain,
! [X_13184,X_13185] :
( product(X_13184,X_13185,e_4)
| ~ product(X_13184,e_6,X_13185)
| ~ product(X_13185,e_2,e_6) ),
inference(resolution,[status(thm)],[c_910362,c_124]) ).
tff(c_910615,plain,
! [X_18] :
( product(X_18,e_2,e_4)
| ~ product(e_2,e_2,e_6)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_908561,c_910577]) ).
tff(c_910718,plain,
~ product(e_2,e_2,e_6),
inference(splitLeft,[status(thm)],[c_910615]) ).
tff(c_910721,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_910718]) ).
tff(c_910724,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_910721]) ).
tff(c_910725,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_909503,c_910724]) ).
tff(c_910726,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_910725]) ).
tff(c_910731,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_910726,c_909336]) ).
tff(c_910766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_910731]) ).
tff(c_910767,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_910725]) ).
tff(c_910813,plain,
product(e_2,e_2,e_4),
inference(splitLeft,[status(thm)],[c_910767]) ).
tff(c_910262,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_4) ),
inference(resolution,[status(thm)],[c_910222,c_122]) ).
tff(c_910818,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_910813,c_910262]) ).
tff(c_910843,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_910818]) ).
tff(c_910844,plain,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_910767]) ).
tff(c_910846,plain,
product(e_2,e_2,e_2),
inference(splitLeft,[status(thm)],[c_910844]) ).
tff(c_910895,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_910846,c_120]) ).
tff(c_914507,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_914504,c_910895]) ).
tff(c_914544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_914507]) ).
tff(c_914545,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_914460]) ).
tff(c_914646,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_914545]) ).
tff(c_914649,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_914646,c_913681]) ).
tff(c_914679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_914649]) ).
tff(c_914680,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_914545]) ).
tff(c_914708,plain,
( equalish(e_5,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_914680,c_312]) ).
tff(c_914738,plain,
( equalish(e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_914708]) ).
tff(c_914740,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_96,c_914738]) ).
tff(c_914741,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_908875]) ).
tff(c_914783,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_914741]) ).
tff(c_914803,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_914783,c_896325]) ).
tff(c_914835,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_914803]) ).
tff(c_914836,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_914741]) ).
tff(c_914880,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_914836]) ).
tff(c_914890,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_914880,c_908563]) ).
tff(c_914922,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_914890]) ).
tff(c_914923,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_914836]) ).
tff(c_914973,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_914923]) ).
tff(c_914976,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_914973,c_913681]) ).
tff(c_915006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_914976]) ).
tff(c_915007,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_914923]) ).
tff(c_915163,plain,
! [X_13252] :
( product(X_13252,e_3,e_3)
| ~ product(X_13252,e_5,e_3) ),
inference(resolution,[status(thm)],[c_915007,c_124]) ).
tff(c_915167,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_915007,c_915163]) ).
tff(c_915058,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_915007,c_120]) ).
tff(c_915170,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_915167,c_915058]) ).
tff(c_915190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_915170]) ).
tff(c_915191,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_913627]) ).
tff(c_915438,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_908875]) ).
tff(c_915872,plain,
! [X_13264] :
( product(X_13264,e_3,e_1)
| ~ product(X_13264,e_5,e_3) ),
inference(resolution,[status(thm)],[c_915438,c_124]) ).
tff(c_915875,plain,
product(e_5,e_3,e_1),
inference(resolution,[status(thm)],[c_915191,c_915872]) ).
tff(c_915879,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_907897,c_915875]) ).
tff(c_915880,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_908875]) ).
tff(c_915886,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_915880]) ).
tff(c_916001,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_915886,c_896325]) ).
tff(c_916033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_916001]) ).
tff(c_916034,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_915880]) ).
tff(c_916078,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_916034]) ).
tff(c_916088,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_916078,c_908563]) ).
tff(c_916120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_916088]) ).
tff(c_916121,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_916034]) ).
tff(c_916163,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_916121]) ).
tff(c_916408,plain,
! [X_13272] :
( product(X_13272,e_3,e_4)
| ~ product(X_13272,e_5,e_3) ),
inference(resolution,[status(thm)],[c_916163,c_124]) ).
tff(c_916412,plain,
product(e_5,e_3,e_4),
inference(resolution,[status(thm)],[c_915191,c_916408]) ).
tff(c_908089,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_5,e_3,W_8) ),
inference(resolution,[status(thm)],[c_908060,c_118]) ).
tff(c_916417,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_916412,c_908089]) ).
tff(c_916437,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_916417]) ).
tff(c_916438,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_916121]) ).
tff(c_915246,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_3) ),
inference(resolution,[status(thm)],[c_915191,c_122]) ).
tff(c_916442,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_916438,c_915246]) ).
tff(c_916472,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_916442]) ).
tff(c_916473,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_910844]) ).
tff(c_916487,plain,
( equalish(e_2,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_916473,c_312]) ).
tff(c_916516,plain,
( equalish(e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_916487]) ).
tff(c_916518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_66,c_916516]) ).
tff(c_916520,plain,
product(e_2,e_2,e_6),
inference(splitRight,[status(thm)],[c_910615]) ).
tff(c_910260,plain,
! [X_18] :
( product(X_18,e_6,e_4)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_910222,c_124]) ).
tff(c_916983,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_908869]) ).
tff(c_916995,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_916983,c_909335]) ).
tff(c_917031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_916995]) ).
tff(c_917032,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_908869]) ).
tff(c_917038,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_917032]) ).
tff(c_917185,plain,
! [W_13295] :
( equalish(W_13295,e_5)
| ~ product(e_5,W_13295,e_5) ),
inference(resolution,[status(thm)],[c_917038,c_120]) ).
tff(c_917204,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_856709,c_917185]) ).
tff(c_917237,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_917204]) ).
tff(c_917238,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_917237]) ).
tff(c_917385,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_917238]) ).
tff(c_917395,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_917385,c_909335]) ).
tff(c_917435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_917395]) ).
tff(c_917436,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_917238]) ).
tff(c_917438,plain,
product(e_5,e_6,e_4),
inference(splitLeft,[status(thm)],[c_917436]) ).
tff(c_917607,plain,
! [W_13300] :
( equalish(W_13300,e_5)
| ~ product(W_13300,e_6,e_4) ),
inference(resolution,[status(thm)],[c_917438,c_122]) ).
tff(c_917909,plain,
! [X_13305] :
( equalish(X_13305,e_5)
| ~ product(X_13305,e_2,e_6) ),
inference(resolution,[status(thm)],[c_910260,c_917607]) ).
tff(c_917915,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_916520,c_917909]) ).
tff(c_917924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_917915]) ).
tff(c_917925,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_917436]) ).
tff(c_917932,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_917925]) ).
tff(c_917951,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_917932,c_908087]) ).
tff(c_917988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_917951]) ).
tff(c_917989,plain,
product(e_5,e_6,e_3),
inference(splitRight,[status(thm)],[c_917925]) ).
tff(c_918012,plain,
product(e_5,e_3,e_5),
inference(resolution,[status(thm)],[c_917989,c_896324]) ).
tff(c_918047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_908017,c_918012]) ).
tff(c_918048,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_917032]) ).
tff(c_918187,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_918048]) ).
tff(c_918197,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_918187,c_908563]) ).
tff(c_918233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_918197]) ).
tff(c_918234,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_918048]) ).
tff(c_918284,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_918234]) ).
tff(c_918330,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_5,e_5) ),
inference(resolution,[status(thm)],[c_918284,c_124]) ).
tff(c_918988,plain,
product(e_2,e_5,e_4),
inference(resolution,[status(thm)],[c_918958,c_918330]) ).
tff(c_918332,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_918284,c_122]) ).
tff(c_919016,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_918988,c_918332]) ).
tff(c_919046,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_919016]) ).
tff(c_919047,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_918952]) ).
tff(c_919091,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_919047]) ).
tff(c_919101,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_919091,c_908563]) ).
tff(c_919133,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_919101]) ).
tff(c_919134,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_919047]) ).
tff(c_919140,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_919134]) ).
tff(c_919143,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_919140,c_918332]) ).
tff(c_919173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_919143]) ).
tff(c_919174,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_919134]) ).
tff(c_919194,plain,
( equalish(e_5,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_919174,c_312]) ).
tff(c_919224,plain,
( equalish(e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_919194]) ).
tff(c_919226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_96,c_919224]) ).
tff(c_919227,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_908875]) ).
tff(c_919275,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_919227]) ).
tff(c_919295,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_919275,c_896325]) ).
tff(c_919327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_919295]) ).
tff(c_919328,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_919227]) ).
tff(c_919372,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_919328]) ).
tff(c_919382,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_919372,c_908563]) ).
tff(c_919414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_919382]) ).
tff(c_919415,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_919328]) ).
tff(c_919457,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_919415]) ).
tff(c_919460,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_919457,c_918332]) ).
tff(c_919490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_919460]) ).
tff(c_919491,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_919415]) ).
tff(c_919647,plain,
! [X_13323] :
( product(X_13323,e_3,e_3)
| ~ product(X_13323,e_5,e_3) ),
inference(resolution,[status(thm)],[c_919491,c_124]) ).
tff(c_919651,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_919491,c_919647]) ).
tff(c_919542,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_919491,c_120]) ).
tff(c_919654,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_919651,c_919542]) ).
tff(c_919674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_919654]) ).
tff(c_919675,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_918234]) ).
tff(c_919928,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_908875]) ).
tff(c_920267,plain,
! [X_13333] :
( product(X_13333,e_3,e_1)
| ~ product(X_13333,e_5,e_3) ),
inference(resolution,[status(thm)],[c_919928,c_124]) ).
tff(c_920270,plain,
product(e_5,e_3,e_1),
inference(resolution,[status(thm)],[c_919675,c_920267]) ).
tff(c_920274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_907897,c_920270]) ).
tff(c_920275,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_908875]) ).
tff(c_920281,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_920275]) ).
tff(c_920301,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_920281,c_896325]) ).
tff(c_920333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_920301]) ).
tff(c_920334,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_920275]) ).
tff(c_920378,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_920334]) ).
tff(c_920388,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_920378,c_908563]) ).
tff(c_920420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_920388]) ).
tff(c_920421,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_920334]) ).
tff(c_920463,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_920421]) ).
tff(c_920613,plain,
! [X_13337] :
( product(X_13337,e_3,e_4)
| ~ product(X_13337,e_5,e_3) ),
inference(resolution,[status(thm)],[c_920463,c_124]) ).
tff(c_920617,plain,
product(e_5,e_3,e_4),
inference(resolution,[status(thm)],[c_919675,c_920613]) ).
tff(c_920622,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_920617,c_908089]) ).
tff(c_920642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_920622]) ).
tff(c_920643,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_920421]) ).
tff(c_919730,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_3) ),
inference(resolution,[status(thm)],[c_919675,c_122]) ).
tff(c_920647,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_920643,c_919730]) ).
tff(c_920677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_920647]) ).
tff(c_920678,plain,
( product(e_6,e_2,e_3)
| product(e_6,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_910220]) ).
tff(c_920680,plain,
product(e_6,e_2,e_2),
inference(splitLeft,[status(thm)],[c_920678]) ).
tff(c_908562,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_2) ),
inference(resolution,[status(thm)],[c_908518,c_120]) ).
tff(c_920685,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_920680,c_908562]) ).
tff(c_920712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_920685]) ).
tff(c_920713,plain,
product(e_6,e_2,e_3),
inference(splitRight,[status(thm)],[c_920678]) ).
tff(c_920761,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_920713,c_856465]) ).
tff(c_920788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_920761]) ).
tff(c_920789,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_909080]) ).
tff(c_920791,plain,
product(e_2,e_3,e_4),
inference(splitLeft,[status(thm)],[c_920789]) ).
tff(c_920904,plain,
! [X_13343] :
( product(X_13343,e_2,e_4)
| ~ product(X_13343,e_3,e_2) ),
inference(resolution,[status(thm)],[c_920791,c_124]) ).
tff(c_920908,plain,
product(e_5,e_2,e_4),
inference(resolution,[status(thm)],[c_908060,c_920904]) ).
tff(c_920946,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_920908,c_124]) ).
tff(c_921040,plain,
! [X_13347] :
( product(X_13347,e_5,e_4)
| ~ product(X_13347,e_2,e_5) ),
inference(resolution,[status(thm)],[c_920908,c_124]) ).
tff(c_921375,plain,
! [X_13355,X_13356] :
( product(X_13355,X_13356,e_4)
| ~ product(X_13355,e_5,X_13356)
| ~ product(X_13356,e_2,e_5) ),
inference(resolution,[status(thm)],[c_921040,c_124]) ).
tff(c_921406,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_2,e_5)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_920946,c_921375]) ).
tff(c_921470,plain,
~ product(e_4,e_2,e_5),
inference(splitLeft,[status(thm)],[c_921406]) ).
tff(c_908204,plain,
! [X_18,X_13115] :
( product(X_18,X_13115,e_2)
| ~ product(X_18,e_5,X_13115)
| ~ product(X_13115,e_3,e_5) ),
inference(resolution,[status(thm)],[c_908173,c_124]) ).
tff(c_921085,plain,
! [X_13347] :
( product(X_13347,e_4,e_2)
| ~ product(e_4,e_3,e_5)
| ~ product(X_13347,e_2,e_5) ),
inference(resolution,[status(thm)],[c_921040,c_908204]) ).
tff(c_921374,plain,
~ product(e_4,e_3,e_5),
inference(splitLeft,[status(thm)],[c_921085]) ).
tff(c_896699,plain,
! [X_18] :
( product(X_18,e_6,e_5)
| ~ product(X_18,e_3,e_6) ),
inference(resolution,[status(thm)],[c_896679,c_124]) ).
tff(c_922788,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_908875]) ).
tff(c_922476,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_908869]) ).
tff(c_922537,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_922476,c_122]) ).
tff(c_922791,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_922788,c_922537]) ).
tff(c_922826,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_922791]) ).
tff(c_922828,plain,
~ product(e_3,e_5,e_1),
inference(splitRight,[status(thm)],[c_908875]) ).
tff(c_922827,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_908875]) ).
tff(c_922836,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_922827]) ).
tff(c_922535,plain,
! [X_18] :
( product(X_18,e_5,e_1)
| ~ product(X_18,e_5,e_5) ),
inference(resolution,[status(thm)],[c_922476,c_124]) ).
tff(c_922839,plain,
product(e_3,e_5,e_1),
inference(resolution,[status(thm)],[c_922836,c_922535]) ).
tff(c_922872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_922828,c_922839]) ).
tff(c_922873,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_922827]) ).
tff(c_922917,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_922873]) ).
tff(c_922927,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_922917,c_908563]) ).
tff(c_922960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_922927]) ).
tff(c_922961,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_922873]) ).
tff(c_923010,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_922961]) ).
tff(c_923026,plain,
( equalish(e_5,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_923010,c_2639]) ).
tff(c_923050,plain,
( equalish(e_5,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_923026]) ).
tff(c_923051,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_923050]) ).
tff(c_923270,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_923051]) ).
tff(c_923307,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_923270,c_2268]) ).
tff(c_923372,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_923307]) ).
tff(c_923373,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_923051]) ).
tff(c_923399,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_923373]) ).
tff(c_923676,plain,
! [X_13400] :
( product(X_13400,e_3,e_3)
| ~ product(X_13400,e_1,e_3) ),
inference(resolution,[status(thm)],[c_923399,c_124]) ).
tff(c_923513,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_923399,c_120]) ).
tff(c_923680,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_923676,c_923513]) ).
tff(c_923715,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_923399,c_923680]) ).
tff(c_923717,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_923715]) ).
tff(c_923718,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_923373]) ).
tff(c_924162,plain,
! [X_13407] :
( product(X_13407,e_3,e_2)
| ~ product(X_13407,e_1,e_3) ),
inference(resolution,[status(thm)],[c_923718,c_124]) ).
tff(c_920820,plain,
! [W_8] :
( equalish(W_8,e_4)
| ~ product(e_2,e_3,W_8) ),
inference(resolution,[status(thm)],[c_920791,c_118]) ).
tff(c_924177,plain,
( equalish(e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_924162,c_920820]) ).
tff(c_924223,plain,
~ product(e_2,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_70,c_924177]) ).
tff(c_924257,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_924223]) ).
tff(c_924260,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_924257]) ).
tff(c_924262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_924260]) ).
tff(c_924263,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_922961]) ).
tff(c_924460,plain,
! [X_13411] :
( product(X_13411,e_3,e_3)
| ~ product(X_13411,e_5,e_3) ),
inference(resolution,[status(thm)],[c_924263,c_124]) ).
tff(c_924464,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_924263,c_924460]) ).
tff(c_924319,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_924263,c_120]) ).
tff(c_924467,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_924464,c_924319]) ).
tff(c_924487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_924467]) ).
tff(c_924488,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_908869]) ).
tff(c_924490,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_924488]) ).
tff(c_924541,plain,
! [W_13412] :
( equalish(W_13412,e_5)
| ~ product(e_5,W_13412,e_5) ),
inference(resolution,[status(thm)],[c_924490,c_120]) ).
tff(c_924560,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_856709,c_924541]) ).
tff(c_924593,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_924560]) ).
tff(c_924594,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_924593]) ).
tff(c_924741,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_924594]) ).
tff(c_925068,plain,
! [X_13422] :
( product(X_13422,e_5,e_1)
| ~ product(X_13422,e_6,e_5) ),
inference(resolution,[status(thm)],[c_924741,c_124]) ).
tff(c_925391,plain,
! [X_13426] :
( product(X_13426,e_5,e_1)
| ~ product(X_13426,e_3,e_6) ),
inference(resolution,[status(thm)],[c_896699,c_925068]) ).
tff(c_925752,plain,
! [X_13437,X_13438] :
( product(X_13437,X_13438,e_1)
| ~ product(X_13437,e_5,X_13438)
| ~ product(X_13438,e_3,e_6) ),
inference(resolution,[status(thm)],[c_925391,c_124]) ).
tff(c_925793,plain,
! [X_18] :
( product(X_18,e_4,e_1)
| ~ product(e_4,e_3,e_6)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_920946,c_925752]) ).
tff(c_925829,plain,
~ product(e_4,e_3,e_6),
inference(splitLeft,[status(thm)],[c_925793]) ).
tff(c_925832,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_925829]) ).
tff(c_925835,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_48,c_925832]) ).
tff(c_925836,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_921374,c_925835]) ).
tff(c_925837,plain,
product(e_4,e_3,e_1),
inference(splitLeft,[status(thm)],[c_925836]) ).
tff(c_921052,plain,
( equalish(e_4,e_2)
| ~ product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[c_921040,c_908564]) ).
tff(c_921083,plain,
~ product(e_6,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_88,c_921052]) ).
tff(c_921183,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_461971,c_921083]) ).
tff(c_921204,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_921183]) ).
tff(c_921508,plain,
product(e_6,e_2,e_1),
inference(splitLeft,[status(thm)],[c_921204]) ).
tff(c_921685,plain,
! [X_13360] :
( product(X_13360,e_6,e_1)
| ~ product(X_13360,e_2,e_6) ),
inference(resolution,[status(thm)],[c_921508,c_124]) ).
tff(c_921776,plain,
! [W_11,X_13360] :
( equalish(W_11,e_6)
| ~ product(X_13360,W_11,e_1)
| ~ product(X_13360,e_2,e_6) ),
inference(resolution,[status(thm)],[c_921685,c_120]) ).
tff(c_925842,plain,
( equalish(e_3,e_6)
| ~ product(e_4,e_2,e_6) ),
inference(resolution,[status(thm)],[c_925837,c_921776]) ).
tff(c_925866,plain,
~ product(e_4,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_84,c_925842]) ).
tff(c_925893,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_925866]) ).
tff(c_925896,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_46,c_925893]) ).
tff(c_925897,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_921470,c_925896]) ).
tff(c_926306,plain,
product(e_4,e_2,e_1),
inference(splitLeft,[status(thm)],[c_925897]) ).
tff(c_925888,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_4,W_11,e_1) ),
inference(resolution,[status(thm)],[c_925837,c_120]) ).
tff(c_926311,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_926306,c_925888]) ).
tff(c_926348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_926311]) ).
tff(c_926349,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_925897]) ).
tff(c_926351,plain,
product(e_4,e_2,e_4),
inference(splitLeft,[status(thm)],[c_926349]) ).
tff(c_920948,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_4) ),
inference(resolution,[status(thm)],[c_920908,c_122]) ).
tff(c_926356,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_926351,c_920948]) ).
tff(c_926381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_926356]) ).
tff(c_926382,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_926349]) ).
tff(c_926384,plain,
product(e_4,e_2,e_2),
inference(splitLeft,[status(thm)],[c_926382]) ).
tff(c_920818,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_2,W_11,e_4) ),
inference(resolution,[status(thm)],[c_920791,c_120]) ).
tff(c_921048,plain,
( equalish(e_5,e_3)
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[c_921040,c_920818]) ).
tff(c_921080,plain,
~ product(e_2,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_100,c_921048]) ).
tff(c_921999,plain,
! [X_13372,X_13373] :
( product(X_13372,X_13373,e_1)
| ~ product(X_13372,e_6,X_13373)
| ~ product(X_13373,e_2,e_6) ),
inference(resolution,[status(thm)],[c_921685,c_124]) ).
tff(c_922037,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(e_2,e_2,e_6)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_908561,c_921999]) ).
tff(c_922184,plain,
~ product(e_2,e_2,e_6),
inference(splitLeft,[status(thm)],[c_922037]) ).
tff(c_922187,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_922184]) ).
tff(c_922190,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_922187]) ).
tff(c_922191,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_921080,c_922190]) ).
tff(c_922242,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_922191]) ).
tff(c_921561,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_1) ),
inference(resolution,[status(thm)],[c_921508,c_122]) ).
tff(c_922247,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_922242,c_921561]) ).
tff(c_922277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_922247]) ).
tff(c_922278,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_922191]) ).
tff(c_922280,plain,
product(e_2,e_2,e_4),
inference(splitLeft,[status(thm)],[c_922278]) ).
tff(c_922285,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_922280,c_920948]) ).
tff(c_922313,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_922285]) ).
tff(c_922314,plain,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_922278]) ).
tff(c_922316,plain,
product(e_2,e_2,e_2),
inference(splitLeft,[status(thm)],[c_922314]) ).
tff(c_922366,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_922316,c_122]) ).
tff(c_926387,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_926384,c_922366]) ).
tff(c_926414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_926387]) ).
tff(c_926415,plain,
product(e_4,e_2,e_3),
inference(splitRight,[status(thm)],[c_926382]) ).
tff(c_926462,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_926415,c_124]) ).
tff(c_926566,plain,
! [X_13459] :
( product(X_13459,e_4,e_3)
| ~ product(X_13459,e_2,e_4) ),
inference(resolution,[status(thm)],[c_926415,c_124]) ).
tff(c_927108,plain,
! [X_13471,X_13472] :
( product(X_13471,X_13472,e_3)
| ~ product(X_13471,e_4,X_13472)
| ~ product(X_13472,e_2,e_4) ),
inference(resolution,[status(thm)],[c_926566,c_124]) ).
tff(c_927137,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(X_18,e_2,e_4) ),
inference(resolution,[status(thm)],[c_926462,c_927108]) ).
tff(c_927305,plain,
~ product(e_3,e_2,e_4),
inference(splitLeft,[status(thm)],[c_927137]) ).
tff(c_925110,plain,
product(e_3,e_5,e_1),
inference(resolution,[status(thm)],[c_896288,c_925068]) ).
tff(c_921102,plain,
! [W_8,X_13347] :
( equalish(W_8,e_4)
| ~ product(X_13347,e_5,W_8)
| ~ product(X_13347,e_2,e_5) ),
inference(resolution,[status(thm)],[c_921040,c_118]) ).
tff(c_925137,plain,
( equalish(e_1,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[c_925110,c_921102]) ).
tff(c_925167,plain,
~ product(e_3,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_60,c_925137]) ).
tff(c_926427,plain,
( product(e_4,e_3,e_6)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_926415,c_219]) ).
tff(c_926452,plain,
( product(e_4,e_3,e_6)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_46,c_926427]) ).
tff(c_926453,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_925167,c_925829,c_926452]) ).
tff(c_928004,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_927305,c_926453]) ).
tff(c_928005,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_928004]) ).
tff(c_925192,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_3,W_11,e_1) ),
inference(resolution,[status(thm)],[c_925110,c_120]) ).
tff(c_928112,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_928005,c_925192]) ).
tff(c_928158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_928112]) ).
tff(c_928159,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(splitRight,[status(thm)],[c_928004]) ).
tff(c_928283,plain,
product(e_3,e_2,e_3),
inference(splitLeft,[status(thm)],[c_928159]) ).
tff(c_926464,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_2,e_3) ),
inference(resolution,[status(thm)],[c_926415,c_122]) ).
tff(c_928288,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_928283,c_926464]) ).
tff(c_928317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_928288]) ).
tff(c_928318,plain,
product(e_3,e_2,e_2),
inference(splitRight,[status(thm)],[c_928159]) ).
tff(c_928328,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_928318,c_922366]) ).
tff(c_928355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_928328]) ).
tff(c_928357,plain,
product(e_3,e_2,e_4),
inference(splitRight,[status(thm)],[c_927137]) ).
tff(c_928482,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_928357,c_920948]) ).
tff(c_928507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_928482]) ).
tff(c_928508,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_925836]) ).
tff(c_928511,plain,
product(e_4,e_3,e_4),
inference(splitLeft,[status(thm)],[c_928508]) ).
tff(c_920819,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_3,e_4) ),
inference(resolution,[status(thm)],[c_920791,c_122]) ).
tff(c_928516,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_928511,c_920819]) ).
tff(c_928536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_928516]) ).
tff(c_928537,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_928508]) ).
tff(c_928539,plain,
product(e_4,e_3,e_2),
inference(splitLeft,[status(thm)],[c_928537]) ).
tff(c_908088,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_3,e_2) ),
inference(resolution,[status(thm)],[c_908060,c_122]) ).
tff(c_928549,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_928539,c_908088]) ).
tff(c_928573,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_928549]) ).
tff(c_928574,plain,
product(e_4,e_3,e_3),
inference(splitRight,[status(thm)],[c_928537]) ).
tff(c_928702,plain,
! [X_13499] :
( product(X_13499,e_4,e_3)
| ~ product(X_13499,e_3,e_4) ),
inference(resolution,[status(thm)],[c_928574,c_124]) ).
tff(c_928716,plain,
! [X_13499] :
( equalish(e_4,e_1)
| ~ next(X_13499,e_3)
| product(X_13499,e_1,e_2)
| product(X_13499,e_1,e_1)
| ~ group_element(X_13499)
| ~ product(X_13499,e_3,e_4) ),
inference(resolution,[status(thm)],[c_928702,c_312]) ).
tff(c_928908,plain,
! [X_13509] :
( ~ next(X_13509,e_3)
| product(X_13509,e_1,e_2)
| product(X_13509,e_1,e_1)
| ~ group_element(X_13509)
| ~ product(X_13509,e_3,e_4) ),
inference(negUnitSimplification,[status(thm)],[c_86,c_928716]) ).
tff(c_928911,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_920791,c_928908]) ).
tff(c_928914,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_928911]) ).
tff(c_928916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_928914]) ).
tff(c_928918,plain,
product(e_4,e_3,e_6),
inference(splitRight,[status(thm)],[c_925793]) ).
tff(c_928935,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_928918,c_897029]) ).
tff(c_928967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_928935]) ).
tff(c_928968,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_924594]) ).
tff(c_928974,plain,
product(e_5,e_6,e_4),
inference(splitLeft,[status(thm)],[c_928968]) ).
tff(c_920947,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_5,W_11,e_4) ),
inference(resolution,[status(thm)],[c_920908,c_120]) ).
tff(c_928984,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_928974,c_920947]) ).
tff(c_929017,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_928984]) ).
tff(c_929018,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_928968]) ).
tff(c_929115,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_929018]) ).
tff(c_929134,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_929115,c_908087]) ).
tff(c_929168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_929134]) ).
tff(c_929169,plain,
product(e_5,e_6,e_3),
inference(splitRight,[status(thm)],[c_929018]) ).
tff(c_929193,plain,
product(e_5,e_3,e_5),
inference(resolution,[status(thm)],[c_929169,c_896324]) ).
tff(c_929229,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_908017,c_929193]) ).
tff(c_929230,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_924488]) ).
tff(c_929274,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_929230]) ).
tff(c_929284,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_929274,c_908563]) ).
tff(c_929320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_929284]) ).
tff(c_929321,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_929230]) ).
tff(c_929327,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_929321]) ).
tff(c_929339,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_929327,c_920947]) ).
tff(c_929368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_929339]) ).
tff(c_929369,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_929321]) ).
tff(c_929626,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_908875]) ).
tff(c_929850,plain,
! [X_13521] :
( product(X_13521,e_3,e_1)
| ~ product(X_13521,e_5,e_3) ),
inference(resolution,[status(thm)],[c_929626,c_124]) ).
tff(c_929853,plain,
product(e_5,e_3,e_1),
inference(resolution,[status(thm)],[c_929369,c_929850]) ).
tff(c_929857,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_907897,c_929853]) ).
tff(c_929858,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_908875]) ).
tff(c_929860,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_929858]) ).
tff(c_929880,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_929860,c_896325]) ).
tff(c_929911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_929880]) ).
tff(c_929912,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_929858]) ).
tff(c_929956,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_929912]) ).
tff(c_929966,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_929956,c_908563]) ).
tff(c_929998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_929966]) ).
tff(c_929999,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_929912]) ).
tff(c_930048,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_929999]) ).
tff(c_930402,plain,
! [X_13531] :
( product(X_13531,e_3,e_4)
| ~ product(X_13531,e_5,e_3) ),
inference(resolution,[status(thm)],[c_930048,c_124]) ).
tff(c_930406,plain,
product(e_5,e_3,e_4),
inference(resolution,[status(thm)],[c_929369,c_930402]) ).
tff(c_930545,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_930406,c_920947]) ).
tff(c_930571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_930545]) ).
tff(c_930572,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_929999]) ).
tff(c_929433,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_3) ),
inference(resolution,[status(thm)],[c_929369,c_122]) ).
tff(c_930576,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_930572,c_929433]) ).
tff(c_930606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_930576]) ).
tff(c_930607,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_922314]) ).
tff(c_930621,plain,
( equalish(e_2,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_930607,c_312]) ).
tff(c_930650,plain,
( equalish(e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_930621]) ).
tff(c_930652,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_66,c_930650]) ).
tff(c_930654,plain,
product(e_2,e_2,e_6),
inference(splitRight,[status(thm)],[c_922037]) ).
tff(c_921559,plain,
! [X_18] :
( product(X_18,e_6,e_1)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_921508,c_124]) ).
tff(c_931585,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_908869]) ).
tff(c_931186,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_908875]) ).
tff(c_931249,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_931186,c_122]) ).
tff(c_931588,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_931585,c_931249]) ).
tff(c_931623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_931588]) ).
tff(c_931624,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_908869]) ).
tff(c_931626,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_931624]) ).
tff(c_931677,plain,
! [W_13559] :
( equalish(W_13559,e_5)
| ~ product(e_5,W_13559,e_5) ),
inference(resolution,[status(thm)],[c_931626,c_120]) ).
tff(c_931696,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_856709,c_931677]) ).
tff(c_931729,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_931696]) ).
tff(c_931730,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_931729]) ).
tff(c_931877,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_931730]) ).
tff(c_931995,plain,
! [W_13563] :
( equalish(W_13563,e_5)
| ~ product(W_13563,e_6,e_1) ),
inference(resolution,[status(thm)],[c_931877,c_122]) ).
tff(c_932093,plain,
! [X_13565] :
( equalish(X_13565,e_5)
| ~ product(X_13565,e_2,e_6) ),
inference(resolution,[status(thm)],[c_921559,c_931995]) ).
tff(c_932099,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_930654,c_932093]) ).
tff(c_932108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_932099]) ).
tff(c_932109,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_931730]) ).
tff(c_932115,plain,
product(e_5,e_6,e_4),
inference(splitLeft,[status(thm)],[c_932109]) ).
tff(c_932125,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_932115,c_920947]) ).
tff(c_932158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_932125]) ).
tff(c_932159,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_932109]) ).
tff(c_932162,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_932159]) ).
tff(c_932181,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_932162,c_908087]) ).
tff(c_932218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_932181]) ).
tff(c_932219,plain,
product(e_5,e_6,e_3),
inference(splitRight,[status(thm)],[c_932159]) ).
tff(c_932242,plain,
product(e_5,e_3,e_5),
inference(resolution,[status(thm)],[c_932219,c_896324]) ).
tff(c_932278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_908017,c_932242]) ).
tff(c_932279,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_931624]) ).
tff(c_932323,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_932279]) ).
tff(c_932333,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_932323,c_908563]) ).
tff(c_932369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_932333]) ).
tff(c_932370,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_932279]) ).
tff(c_932376,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_932370]) ).
tff(c_932388,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_932376,c_920947]) ).
tff(c_932417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_932388]) ).
tff(c_932418,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_932370]) ).
tff(c_931247,plain,
! [X_18] :
( product(X_18,e_3,e_1)
| ~ product(X_18,e_5,e_3) ),
inference(resolution,[status(thm)],[c_931186,c_124]) ).
tff(c_932426,plain,
product(e_5,e_3,e_1),
inference(resolution,[status(thm)],[c_932418,c_931247]) ).
tff(c_932456,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_907897,c_932426]) ).
tff(c_932457,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_908875]) ).
tff(c_932459,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_932457]) ).
tff(c_932527,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_932459,c_896325]) ).
tff(c_932558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_932527]) ).
tff(c_932559,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_932457]) ).
tff(c_932603,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_932559]) ).
tff(c_932613,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_932603,c_908563]) ).
tff(c_932646,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_932613]) ).
tff(c_932647,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_932559]) ).
tff(c_932689,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_932647]) ).
tff(c_932705,plain,
( equalish(e_5,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_932689,c_2639]) ).
tff(c_932729,plain,
( equalish(e_5,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_932705]) ).
tff(c_932730,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_932729]) ).
tff(c_932949,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_932730]) ).
tff(c_932988,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_932949,c_2268]) ).
tff(c_933056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_932988]) ).
tff(c_933058,plain,
~ product(e_3,e_1,e_1),
inference(splitRight,[status(thm)],[c_932730]) ).
tff(c_932742,plain,
! [W_13567] :
( equalish(W_13567,e_5)
| ~ product(e_3,W_13567,e_4) ),
inference(resolution,[status(thm)],[c_932689,c_120]) ).
tff(c_932753,plain,
( equalish(e_1,e_5)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_932742]) ).
tff(c_932760,plain,
( equalish(e_1,e_5)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_932753]) ).
tff(c_932761,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_62,c_932760]) ).
tff(c_933083,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_933058,c_932761]) ).
tff(c_933084,plain,
product(e_3,e_1,e_2),
inference(splitLeft,[status(thm)],[c_933083]) ).
tff(c_933536,plain,
! [X_13579] :
( product(X_13579,e_3,e_2)
| ~ product(X_13579,e_1,e_3) ),
inference(resolution,[status(thm)],[c_933084,c_124]) ).
tff(c_933547,plain,
( equalish(e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_933536,c_920820]) ).
tff(c_933591,plain,
~ product(e_2,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_70,c_933547]) ).
tff(c_933632,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_933591]) ).
tff(c_933635,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_933632]) ).
tff(c_933637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_933635]) ).
tff(c_933638,plain,
product(e_3,e_1,e_3),
inference(splitRight,[status(thm)],[c_933083]) ).
tff(c_933932,plain,
! [X_13583] :
( product(X_13583,e_3,e_3)
| ~ product(X_13583,e_1,e_3) ),
inference(resolution,[status(thm)],[c_933638,c_124]) ).
tff(c_933766,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_933638,c_120]) ).
tff(c_933936,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_933932,c_933766]) ).
tff(c_933971,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_933638,c_933936]) ).
tff(c_933973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_933971]) ).
tff(c_933974,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_932647]) ).
tff(c_934177,plain,
! [X_13587] :
( product(X_13587,e_3,e_3)
| ~ product(X_13587,e_5,e_3) ),
inference(resolution,[status(thm)],[c_933974,c_124]) ).
tff(c_934181,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_933974,c_934177]) ).
tff(c_934030,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_933974,c_120]) ).
tff(c_934184,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_934181,c_934030]) ).
tff(c_934204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_934184]) ).
tff(c_934205,plain,
( product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_921204]) ).
tff(c_934207,plain,
product(e_6,e_2,e_4),
inference(splitLeft,[status(thm)],[c_934205]) ).
tff(c_934212,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_934207,c_920948]) ).
tff(c_934237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_934212]) ).
tff(c_934238,plain,
( product(e_6,e_2,e_3)
| product(e_6,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_934205]) ).
tff(c_934240,plain,
product(e_6,e_2,e_2),
inference(splitLeft,[status(thm)],[c_934238]) ).
tff(c_934245,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_934240,c_908562]) ).
tff(c_934272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_934245]) ).
tff(c_934273,plain,
product(e_6,e_2,e_3),
inference(splitRight,[status(thm)],[c_934238]) ).
tff(c_934328,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_934273,c_856465]) ).
tff(c_934355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_934328]) ).
tff(c_934602,plain,
! [X_13592] :
( product(X_13592,e_4,e_4)
| ~ product(X_13592,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_921406]) ).
tff(c_921100,plain,
! [W_11,X_13347] :
( equalish(W_11,e_5)
| ~ product(X_13347,W_11,e_4)
| ~ product(X_13347,e_2,e_5) ),
inference(resolution,[status(thm)],[c_921040,c_120]) ).
tff(c_934604,plain,
! [X_13592] :
( equalish(e_4,e_5)
| ~ product(X_13592,e_2,e_5) ),
inference(resolution,[status(thm)],[c_934602,c_921100]) ).
tff(c_934629,plain,
! [X_13592] : ~ product(X_13592,e_2,e_5),
inference(negUnitSimplification,[status(thm)],[c_92,c_934604]) ).
tff(c_934357,plain,
product(e_4,e_2,e_5),
inference(splitRight,[status(thm)],[c_921406]) ).
tff(c_934649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_934629,c_934357]) ).
tff(c_934651,plain,
product(e_4,e_3,e_5),
inference(splitRight,[status(thm)],[c_921085]) ).
tff(c_908206,plain,
! [W_14,X_13115] :
( equalish(W_14,X_13115)
| ~ product(W_14,e_5,e_2)
| ~ product(X_13115,e_3,e_5) ),
inference(resolution,[status(thm)],[c_908173,c_122]) ).
tff(c_908546,plain,
! [X_13115] :
( equalish(e_6,X_13115)
| ~ product(X_13115,e_3,e_5) ),
inference(resolution,[status(thm)],[c_908518,c_908206]) ).
tff(c_934657,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_934651,c_908546]) ).
tff(c_934684,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_934657]) ).
tff(c_934685,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_920789]) ).
tff(c_934687,plain,
product(e_2,e_3,e_2),
inference(splitLeft,[status(thm)],[c_934685]) ).
tff(c_934694,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_934687,c_908088]) ).
tff(c_934716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_934694]) ).
tff(c_934717,plain,
product(e_2,e_3,e_3),
inference(splitRight,[status(thm)],[c_934685]) ).
tff(c_934724,plain,
( equalish(e_3,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_934717,c_312]) ).
tff(c_934745,plain,
( equalish(e_3,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_934724]) ).
tff(c_934747,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_76,c_934745]) ).
tff(c_934749,plain,
product(e_2,e_5,e_6),
inference(splitRight,[status(thm)],[c_909043]) ).
tff(c_934757,plain,
( product(e_2,e_6,e_2)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_934749,c_908204]) ).
tff(c_934781,plain,
product(e_2,e_6,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_896679,c_934757]) ).
tff(c_908853,plain,
! [X_18,X_13134] :
( product(X_18,X_13134,e_2)
| ~ product(X_18,e_6,X_13134)
| ~ product(X_13134,e_5,e_6) ),
inference(resolution,[status(thm)],[c_908778,c_124]) ).
tff(c_934802,plain,
( product(e_2,e_2,e_2)
| ~ product(e_2,e_5,e_6) ),
inference(resolution,[status(thm)],[c_934781,c_908853]) ).
tff(c_934833,plain,
product(e_2,e_2,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_934749,c_934802]) ).
tff(c_908854,plain,
! [W_11,X_13134] :
( equalish(W_11,e_6)
| ~ product(X_13134,W_11,e_2)
| ~ product(X_13134,e_5,e_6) ),
inference(resolution,[status(thm)],[c_908778,c_120]) ).
tff(c_934875,plain,
( equalish(e_2,e_6)
| ~ product(e_2,e_5,e_6) ),
inference(resolution,[status(thm)],[c_934833,c_908854]) ).
tff(c_934899,plain,
equalish(e_2,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_934749,c_934875]) ).
tff(c_934901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_934899]) ).
tff(c_934903,plain,
product(e_2,e_3,e_6),
inference(splitRight,[status(thm)],[c_908831]) ).
tff(c_934906,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_934903,c_897029]) ).
tff(c_934929,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_934906]) ).
tff(c_934930,plain,
product(e_6,e_5,e_3),
inference(splitRight,[status(thm)],[c_908500]) ).
tff(c_934936,plain,
( equalish(e_3,e_2)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_934930,c_908207]) ).
tff(c_934959,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_896679,c_934936]) ).
tff(c_934961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_934959]) ).
tff(c_934963,plain,
product(e_2,e_3,e_5),
inference(splitRight,[status(thm)],[c_908323]) ).
tff(c_934968,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_934963,c_896701]) ).
tff(c_934987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_934968]) ).
tff(c_934988,plain,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_908016]) ).
tff(c_934990,plain,
product(e_5,e_3,e_4),
inference(splitLeft,[status(thm)],[c_934988]) ).
tff(c_935016,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_3,e_5) ),
inference(resolution,[status(thm)],[c_934990,c_124]) ).
tff(c_935102,plain,
! [X_13597] :
( product(X_13597,e_5,e_4)
| ~ product(X_13597,e_3,e_5) ),
inference(resolution,[status(thm)],[c_934990,c_124]) ).
tff(c_935155,plain,
! [W_13602,X_13603] :
( equalish(W_13602,e_4)
| ~ product(X_13603,e_5,W_13602)
| ~ product(X_13603,e_3,e_5) ),
inference(resolution,[status(thm)],[c_935102,c_118]) ).
tff(c_935170,plain,
( equalish(e_5,e_4)
| ~ product(e_6,e_3,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_461971,c_935155]) ).
tff(c_935203,plain,
( equalish(e_5,e_4)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_896679,c_935170]) ).
tff(c_935204,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_102,c_935203]) ).
tff(c_935315,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_935204]) ).
tff(c_935136,plain,
! [W_8,X_13597] :
( equalish(W_8,e_4)
| ~ product(X_13597,e_5,W_8)
| ~ product(X_13597,e_3,e_5) ),
inference(resolution,[status(thm)],[c_935102,c_118]) ).
tff(c_935320,plain,
( equalish(e_1,e_4)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_935315,c_935136]) ).
tff(c_935343,plain,
equalish(e_1,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_896679,c_935320]) ).
tff(c_935345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_935343]) ).
tff(c_935347,plain,
~ product(e_6,e_5,e_1),
inference(splitRight,[status(thm)],[c_935204]) ).
tff(c_935225,plain,
! [X_13604,X_13605] :
( product(X_13604,X_13605,e_4)
| ~ product(X_13604,e_5,X_13605)
| ~ product(X_13605,e_3,e_5) ),
inference(resolution,[status(thm)],[c_935102,c_124]) ).
tff(c_935252,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_3,e_5)
| ~ product(X_18,e_3,e_5) ),
inference(resolution,[status(thm)],[c_935016,c_935225]) ).
tff(c_935277,plain,
~ product(e_4,e_3,e_5),
inference(splitLeft,[status(thm)],[c_935252]) ).
tff(c_935346,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_935204]) ).
tff(c_935348,plain,
product(e_6,e_5,e_4),
inference(splitLeft,[status(thm)],[c_935346]) ).
tff(c_935558,plain,
! [X_13610] :
( product(X_13610,e_6,e_4)
| ~ product(X_13610,e_5,e_6) ),
inference(resolution,[status(thm)],[c_935348,c_124]) ).
tff(c_935608,plain,
! [X_13610] :
( product(X_13610,e_4,e_5)
| ~ product(e_4,e_3,e_6)
| ~ product(X_13610,e_5,e_6) ),
inference(resolution,[status(thm)],[c_935558,c_896941]) ).
tff(c_935899,plain,
~ product(e_4,e_3,e_6),
inference(splitLeft,[status(thm)],[c_935608]) ).
tff(c_935902,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_935899]) ).
tff(c_935905,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_48,c_935902]) ).
tff(c_935906,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_935277,c_935905]) ).
tff(c_935970,plain,
product(e_4,e_3,e_1),
inference(splitLeft,[status(thm)],[c_935906]) ).
tff(c_936119,plain,
! [X_13627] :
( product(X_13627,e_4,e_1)
| ~ product(X_13627,e_3,e_4) ),
inference(resolution,[status(thm)],[c_935970,c_124]) ).
tff(c_936286,plain,
! [X_13635,X_13636] :
( product(X_13635,X_13636,e_1)
| ~ product(X_13635,e_4,X_13636)
| ~ product(X_13636,e_3,e_4) ),
inference(resolution,[status(thm)],[c_936119,c_124]) ).
tff(c_936297,plain,
( product(e_6,e_5,e_1)
| ~ product(e_5,e_3,e_4)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_461971,c_936286]) ).
tff(c_936322,plain,
( product(e_6,e_5,e_1)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_934990,c_936297]) ).
tff(c_936323,plain,
( product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_935347,c_936322]) ).
tff(c_936346,plain,
product(e_6,e_4,e_1),
inference(splitLeft,[status(thm)],[c_936323]) ).
tff(c_936171,plain,
! [W_14,X_13627] :
( equalish(W_14,X_13627)
| ~ product(W_14,e_4,e_1)
| ~ product(X_13627,e_3,e_4) ),
inference(resolution,[status(thm)],[c_936119,c_122]) ).
tff(c_936664,plain,
! [X_13642] :
( equalish(e_6,X_13642)
| ~ product(X_13642,e_3,e_4) ),
inference(resolution,[status(thm)],[c_936346,c_936171]) ).
tff(c_936667,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_934990,c_936664]) ).
tff(c_936671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_936667]) ).
tff(c_936672,plain,
( product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_936323]) ).
tff(c_936678,plain,
product(e_6,e_4,e_4),
inference(splitLeft,[status(thm)],[c_936672]) ).
tff(c_935392,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_4) ),
inference(resolution,[status(thm)],[c_935348,c_120]) ).
tff(c_936688,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_936678,c_935392]) ).
tff(c_936714,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_936688]) ).
tff(c_936715,plain,
( product(e_6,e_4,e_3)
| product(e_6,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_936672]) ).
tff(c_936717,plain,
product(e_6,e_4,e_2),
inference(splitLeft,[status(thm)],[c_936715]) ).
tff(c_936169,plain,
! [X_18,X_13627] :
( product(X_18,X_13627,e_1)
| ~ product(X_18,e_4,X_13627)
| ~ product(X_13627,e_3,e_4) ),
inference(resolution,[status(thm)],[c_936119,c_124]) ).
tff(c_936737,plain,
( product(e_6,e_2,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[c_936717,c_936169]) ).
tff(c_936940,plain,
~ product(e_2,e_3,e_4),
inference(splitLeft,[status(thm)],[c_936737]) ).
tff(c_936851,plain,
! [X_13646] :
( product(X_13646,e_6,e_2)
| ~ product(X_13646,e_4,e_6) ),
inference(resolution,[status(thm)],[c_936717,c_124]) ).
tff(c_936901,plain,
! [X_13646] :
( product(X_13646,e_2,e_5)
| ~ product(e_2,e_3,e_6)
| ~ product(X_13646,e_4,e_6) ),
inference(resolution,[status(thm)],[c_936851,c_896941]) ).
tff(c_937160,plain,
~ product(e_2,e_3,e_6),
inference(splitLeft,[status(thm)],[c_936901]) ).
tff(c_937163,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_937160]) ).
tff(c_937166,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48,c_937163]) ).
tff(c_937167,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_936940,c_937166]) ).
tff(c_937228,plain,
product(e_2,e_3,e_1),
inference(splitLeft,[status(thm)],[c_937167]) ).
tff(c_936011,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_935970,c_122]) ).
tff(c_937233,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_937228,c_936011]) ).
tff(c_937258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_937233]) ).
tff(c_937259,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_937167]) ).
tff(c_937261,plain,
product(e_2,e_3,e_5),
inference(splitLeft,[status(thm)],[c_937259]) ).
tff(c_935135,plain,
! [W_14,X_13597] :
( equalish(W_14,X_13597)
| ~ product(W_14,e_5,e_4)
| ~ product(X_13597,e_3,e_5) ),
inference(resolution,[status(thm)],[c_935102,c_122]) ).
tff(c_935376,plain,
! [X_13597] :
( equalish(e_6,X_13597)
| ~ product(X_13597,e_3,e_5) ),
inference(resolution,[status(thm)],[c_935348,c_935135]) ).
tff(c_937357,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_937261,c_935376]) ).
tff(c_937386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_937357]) ).
tff(c_937387,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_937259]) ).
tff(c_937431,plain,
product(e_2,e_3,e_2),
inference(splitLeft,[status(thm)],[c_937387]) ).
tff(c_937562,plain,
! [X_13666] :
( product(X_13666,e_2,e_2)
| ~ product(X_13666,e_3,e_2) ),
inference(resolution,[status(thm)],[c_937431,c_124]) ).
tff(c_937566,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_937431,c_937562]) ).
tff(c_937471,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_937431,c_120]) ).
tff(c_937569,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_937566,c_937471]) ).
tff(c_937594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_937569]) ).
tff(c_937595,plain,
product(e_2,e_3,e_3),
inference(splitRight,[status(thm)],[c_937387]) ).
tff(c_937602,plain,
( equalish(e_3,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_937595,c_312]) ).
tff(c_937623,plain,
( equalish(e_3,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_937602]) ).
tff(c_937625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_76,c_937623]) ).
tff(c_937627,plain,
product(e_2,e_3,e_6),
inference(splitRight,[status(thm)],[c_936901]) ).
tff(c_937630,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_937627,c_897029]) ).
tff(c_937653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_937630]) ).
tff(c_937655,plain,
product(e_2,e_3,e_4),
inference(splitRight,[status(thm)],[c_936737]) ).
tff(c_935018,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_3,e_4) ),
inference(resolution,[status(thm)],[c_934990,c_122]) ).
tff(c_937667,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_937655,c_935018]) ).
tff(c_937697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_937667]) ).
tff(c_937699,plain,
~ product(e_4,e_3,e_1),
inference(splitRight,[status(thm)],[c_935906]) ).
tff(c_935391,plain,
! [X_18] :
( product(X_18,e_6,e_4)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_935348,c_124]) ).
tff(c_935784,plain,
! [X_13619,X_13620] :
( product(X_13619,X_13620,e_4)
| ~ product(X_13619,e_6,X_13620)
| ~ product(X_13620,e_5,e_6) ),
inference(resolution,[status(thm)],[c_935558,c_124]) ).
tff(c_935819,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_5,e_6)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_935391,c_935784]) ).
tff(c_935907,plain,
~ product(e_4,e_5,e_6),
inference(splitLeft,[status(thm)],[c_935819]) ).
tff(c_935966,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_935907]) ).
tff(c_935969,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_52,c_935966]) ).
tff(c_950035,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_935969]) ).
tff(c_935577,plain,
( equalish(e_4,e_5)
| ~ product(e_3,e_5,e_6) ),
inference(resolution,[status(thm)],[c_935558,c_896327]) ).
tff(c_935614,plain,
~ product(e_3,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_92,c_935577]) ).
tff(c_935648,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_935614]) ).
tff(c_935651,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_52,c_935648]) ).
tff(c_949791,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_935651]) ).
tff(c_949841,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_949791,c_122]) ).
tff(c_950038,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_950035,c_949841]) ).
tff(c_950066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_950038]) ).
tff(c_950067,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_935969]) ).
tff(c_950069,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_950067]) ).
tff(c_934989,plain,
~ product(e_5,e_3,e_2),
inference(splitRight,[status(thm)],[c_908016]) ).
tff(c_938029,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_935651]) ).
tff(c_938034,plain,
( equalish(e_1,e_4)
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[c_938029,c_935136]) ).
tff(c_938057,plain,
~ product(e_3,e_3,e_5),
inference(negUnitSimplification,[status(thm)],[c_60,c_938034]) ).
tff(c_935017,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_5,W_11,e_4) ),
inference(resolution,[status(thm)],[c_934990,c_120]) ).
tff(c_935568,plain,
( equalish(e_6,e_3)
| ~ product(e_5,e_5,e_6) ),
inference(resolution,[status(thm)],[c_935558,c_935017]) ).
tff(c_935607,plain,
~ product(e_5,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_110,c_935568]) ).
tff(c_935642,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_935607]) ).
tff(c_935645,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_935642]) ).
tff(c_938267,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_935645]) ).
tff(c_938079,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_938029,c_122]) ).
tff(c_938270,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_938267,c_938079]) ).
tff(c_938298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_938270]) ).
tff(c_938299,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_935645]) ).
tff(c_938301,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_938299]) ).
tff(c_938344,plain,
! [W_13684] :
( equalish(W_13684,e_5)
| ~ product(e_5,W_13684,e_5) ),
inference(resolution,[status(thm)],[c_938301,c_120]) ).
tff(c_938363,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_856709,c_938344]) ).
tff(c_938396,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_938363]) ).
tff(c_938397,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_938396]) ).
tff(c_938538,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_938397]) ).
tff(c_938575,plain,
( product(e_5,e_1,e_5)
| ~ product(e_1,e_3,e_6) ),
inference(resolution,[status(thm)],[c_938538,c_896941]) ).
tff(c_938882,plain,
~ product(e_1,e_3,e_6),
inference(splitLeft,[status(thm)],[c_938575]) ).
tff(c_935133,plain,
! [X_18,X_13597] :
( product(X_18,X_13597,e_4)
| ~ product(X_18,e_5,X_13597)
| ~ product(X_13597,e_3,e_5) ),
inference(resolution,[status(thm)],[c_935102,c_124]) ).
tff(c_938054,plain,
( product(e_3,e_1,e_4)
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[c_938029,c_935133]) ).
tff(c_938230,plain,
~ product(e_1,e_3,e_5),
inference(splitLeft,[status(thm)],[c_938054]) ).
tff(c_938885,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_938882]) ).
tff(c_938888,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_48,c_938885]) ).
tff(c_938889,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_938230,c_938888]) ).
tff(c_939209,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_938889]) ).
tff(c_939222,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_939209,c_2267]) ).
tff(c_939252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_939222]) ).
tff(c_939253,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_938889]) ).
tff(c_939255,plain,
product(e_1,e_3,e_4),
inference(splitLeft,[status(thm)],[c_939253]) ).
tff(c_939265,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_939255,c_935018]) ).
tff(c_939290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_939265]) ).
tff(c_939291,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_939253]) ).
tff(c_939339,plain,
product(e_1,e_3,e_2),
inference(splitLeft,[status(thm)],[c_939291]) ).
tff(c_937698,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_935906]) ).
tff(c_937700,plain,
product(e_4,e_3,e_4),
inference(splitLeft,[status(thm)],[c_937698]) ).
tff(c_937707,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_937700,c_935018]) ).
tff(c_937729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_937707]) ).
tff(c_937730,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_937698]) ).
tff(c_937732,plain,
product(e_4,e_3,e_2),
inference(splitLeft,[status(thm)],[c_937730]) ).
tff(c_937760,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_3,e_2) ),
inference(resolution,[status(thm)],[c_937732,c_122]) ).
tff(c_939344,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_939339,c_937760]) ).
tff(c_939364,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_939344]) ).
tff(c_939365,plain,
product(e_1,e_3,e_3),
inference(splitRight,[status(thm)],[c_939291]) ).
tff(c_939371,plain,
( product(e_1,e_3,e_6)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_939365,c_219]) ).
tff(c_939390,plain,
( product(e_1,e_3,e_6)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_939371]) ).
tff(c_939391,plain,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_938057,c_938882,c_939390]) ).
tff(c_939495,plain,
product(e_3,e_3,e_1),
inference(splitLeft,[status(thm)],[c_939391]) ).
tff(c_938078,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_3,W_11,e_1) ),
inference(resolution,[status(thm)],[c_938029,c_120]) ).
tff(c_939503,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_939495,c_938078]) ).
tff(c_939530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_939503]) ).
tff(c_939531,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_939391]) ).
tff(c_939533,plain,
product(e_3,e_3,e_4),
inference(splitLeft,[status(thm)],[c_939531]) ).
tff(c_939543,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_939533,c_935018]) ).
tff(c_939568,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_939543]) ).
tff(c_939569,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_939531]) ).
tff(c_939571,plain,
product(e_3,e_3,e_2),
inference(splitLeft,[status(thm)],[c_939569]) ).
tff(c_939576,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_939571,c_937760]) ).
tff(c_939596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_939576]) ).
tff(c_939597,plain,
product(e_3,e_3,e_3),
inference(splitRight,[status(thm)],[c_939569]) ).
tff(c_939402,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_3,e_3) ),
inference(resolution,[status(thm)],[c_939365,c_122]) ).
tff(c_939601,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_939597,c_939402]) ).
tff(c_939621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_939601]) ).
tff(c_939623,plain,
product(e_1,e_3,e_6),
inference(splitRight,[status(thm)],[c_938575]) ).
tff(c_939626,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_939623,c_897029]) ).
tff(c_939649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_939626]) ).
tff(c_939651,plain,
product(e_1,e_3,e_5),
inference(splitRight,[status(thm)],[c_938054]) ).
tff(c_939772,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_939651,c_935376]) ).
tff(c_939800,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_939772]) ).
tff(c_939802,plain,
~ product(e_3,e_5,e_1),
inference(splitRight,[status(thm)],[c_935651]) ).
tff(c_940364,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_935969]) ).
tff(c_940105,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_935645]) ).
tff(c_940154,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_940105,c_122]) ).
tff(c_940367,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_940364,c_940154]) ).
tff(c_940395,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_940367]) ).
tff(c_940397,plain,
~ product(e_4,e_5,e_1),
inference(splitRight,[status(thm)],[c_935969]) ).
tff(c_940396,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_935969]) ).
tff(c_940444,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_940396]) ).
tff(c_940152,plain,
! [X_18] :
( product(X_18,e_5,e_1)
| ~ product(X_18,e_5,e_5) ),
inference(resolution,[status(thm)],[c_940105,c_124]) ).
tff(c_940447,plain,
product(e_4,e_5,e_1),
inference(resolution,[status(thm)],[c_940444,c_940152]) ).
tff(c_940472,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_940397,c_940447]) ).
tff(c_940473,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_940396]) ).
tff(c_940517,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_940473]) ).
tff(c_939801,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_935651]) ).
tff(c_939803,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_939801]) ).
tff(c_939815,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_939803,c_896325]) ).
tff(c_939842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_939815]) ).
tff(c_939843,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_939801]) ).
tff(c_939887,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_939843]) ).
tff(c_939929,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_939887,c_122]) ).
tff(c_940520,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_940517,c_939929]) ).
tff(c_940548,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_940520]) ).
tff(c_940549,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_940473]) ).
tff(c_940551,plain,
product(e_4,e_5,e_4),
inference(splitLeft,[status(thm)],[c_940549]) ).
tff(c_935393,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_935348,c_122]) ).
tff(c_940556,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_940551,c_935393]) ).
tff(c_940585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_940556]) ).
tff(c_940586,plain,
product(e_4,e_5,e_3),
inference(splitRight,[status(thm)],[c_940549]) ).
tff(c_940826,plain,
! [X_13727] :
( product(X_13727,e_4,e_3)
| ~ product(X_13727,e_5,e_4) ),
inference(resolution,[status(thm)],[c_940586,c_124]) ).
tff(c_940833,plain,
product(e_6,e_4,e_3),
inference(resolution,[status(thm)],[c_935348,c_940826]) ).
tff(c_940842,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_940833,c_856465]) ).
tff(c_940866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_940842]) ).
tff(c_940867,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_935645]) ).
tff(c_940869,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_940867]) ).
tff(c_940912,plain,
! [W_13728] :
( equalish(W_13728,e_5)
| ~ product(e_5,W_13728,e_5) ),
inference(resolution,[status(thm)],[c_940869,c_120]) ).
tff(c_940931,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_856709,c_940912]) ).
tff(c_940964,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_940931]) ).
tff(c_940965,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_940964]) ).
tff(c_941106,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_940965]) ).
tff(c_941379,plain,
! [X_13736] :
( product(X_13736,e_5,e_1)
| ~ product(X_13736,e_6,e_5) ),
inference(resolution,[status(thm)],[c_941106,c_124]) ).
tff(c_941389,plain,
product(e_3,e_5,e_1),
inference(resolution,[status(thm)],[c_896288,c_941379]) ).
tff(c_941424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_939802,c_941389]) ).
tff(c_941425,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_940965]) ).
tff(c_941427,plain,
product(e_5,e_6,e_4),
inference(splitLeft,[status(thm)],[c_941425]) ).
tff(c_941442,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_941427,c_935017]) ).
tff(c_941473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_941442]) ).
tff(c_941474,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_941425]) ).
tff(c_941480,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_941474]) ).
tff(c_937845,plain,
! [X_13670] :
( product(X_13670,e_4,e_2)
| ~ product(X_13670,e_3,e_4) ),
inference(resolution,[status(thm)],[c_937732,c_124]) ).
tff(c_937877,plain,
! [W_11,X_13670] :
( equalish(W_11,e_4)
| ~ product(X_13670,W_11,e_2)
| ~ product(X_13670,e_3,e_4) ),
inference(resolution,[status(thm)],[c_937845,c_120]) ).
tff(c_941482,plain,
( equalish(e_6,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[c_941480,c_937877]) ).
tff(c_941509,plain,
equalish(e_6,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_934990,c_941482]) ).
tff(c_941511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_941509]) ).
tff(c_941512,plain,
product(e_5,e_6,e_3),
inference(splitRight,[status(thm)],[c_941474]) ).
tff(c_941614,plain,
product(e_5,e_3,e_5),
inference(resolution,[status(thm)],[c_941512,c_896324]) ).
tff(c_941646,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_908017,c_941614]) ).
tff(c_941647,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_940867]) ).
tff(c_941699,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_941647]) ).
tff(c_941702,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_941699,c_939929]) ).
tff(c_941727,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_941702]) ).
tff(c_941728,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_941647]) ).
tff(c_941730,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_941728]) ).
tff(c_941735,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_941730,c_935393]) ).
tff(c_941767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_941735]) ).
tff(c_941768,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_941728]) ).
tff(c_939927,plain,
! [X_18] :
( product(X_18,e_3,e_2)
| ~ product(X_18,e_5,e_3) ),
inference(resolution,[status(thm)],[c_939887,c_124]) ).
tff(c_941776,plain,
product(e_5,e_3,e_2),
inference(resolution,[status(thm)],[c_941768,c_939927]) ).
tff(c_941801,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_934989,c_941776]) ).
tff(c_941802,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_939843]) ).
tff(c_941812,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_941802]) ).
tff(c_941817,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_941812,c_935393]) ).
tff(c_941846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_941817]) ).
tff(c_941847,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_941802]) ).
tff(c_942030,plain,
! [X_13744] :
( product(X_13744,e_3,e_3)
| ~ product(X_13744,e_5,e_3) ),
inference(resolution,[status(thm)],[c_941847,c_124]) ).
tff(c_942034,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_941847,c_942030]) ).
tff(c_941895,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_941847,c_120]) ).
tff(c_942037,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_942034,c_941895]) ).
tff(c_942057,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_942037]) ).
tff(c_942058,plain,
product(e_4,e_3,e_3),
inference(splitRight,[status(thm)],[c_937730]) ).
tff(c_942092,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_3,e_4) ),
inference(resolution,[status(thm)],[c_942058,c_124]) ).
tff(c_942187,plain,
! [X_13748] :
( product(X_13748,e_4,e_3)
| ~ product(X_13748,e_3,e_4) ),
inference(resolution,[status(thm)],[c_942058,c_124]) ).
tff(c_942332,plain,
! [X_13755,X_13756] :
( product(X_13755,X_13756,e_3)
| ~ product(X_13755,e_4,X_13756)
| ~ product(X_13756,e_3,e_4) ),
inference(resolution,[status(thm)],[c_942187,c_124]) ).
tff(c_942359,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_3,e_4)
| ~ product(X_18,e_3,e_4) ),
inference(resolution,[status(thm)],[c_942092,c_942332]) ).
tff(c_942384,plain,
~ product(e_3,e_3,e_4),
inference(splitLeft,[status(thm)],[c_942359]) ).
tff(c_942059,plain,
~ product(e_4,e_3,e_2),
inference(splitRight,[status(thm)],[c_937730]) ).
tff(c_943111,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_935969]) ).
tff(c_942401,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_935645]) ).
tff(c_942450,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_942401,c_122]) ).
tff(c_943114,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_943111,c_942450]) ).
tff(c_943142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_943114]) ).
tff(c_943144,plain,
~ product(e_4,e_5,e_1),
inference(splitRight,[status(thm)],[c_935969]) ).
tff(c_943143,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_935969]) ).
tff(c_943145,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_943143]) ).
tff(c_942448,plain,
! [X_18] :
( product(X_18,e_5,e_1)
| ~ product(X_18,e_5,e_5) ),
inference(resolution,[status(thm)],[c_942401,c_124]) ).
tff(c_943148,plain,
product(e_4,e_5,e_1),
inference(resolution,[status(thm)],[c_943145,c_942448]) ).
tff(c_943173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_943144,c_943148]) ).
tff(c_943174,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_943143]) ).
tff(c_943218,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_943174]) ).
tff(c_942698,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_935651]) ).
tff(c_942701,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_942698,c_942450]) ).
tff(c_942729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_942701]) ).
tff(c_942731,plain,
~ product(e_3,e_5,e_1),
inference(splitRight,[status(thm)],[c_935651]) ).
tff(c_942730,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_935651]) ).
tff(c_942820,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_942730]) ).
tff(c_942823,plain,
product(e_3,e_5,e_1),
inference(resolution,[status(thm)],[c_942820,c_942448]) ).
tff(c_942851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_942731,c_942823]) ).
tff(c_942852,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_942730]) ).
tff(c_942904,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_942852]) ).
tff(c_942941,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_942904,c_122]) ).
tff(c_943237,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_943218,c_942941]) ).
tff(c_943260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_943237]) ).
tff(c_943261,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_943174]) ).
tff(c_943263,plain,
product(e_4,e_5,e_4),
inference(splitLeft,[status(thm)],[c_943261]) ).
tff(c_943268,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_943263,c_935393]) ).
tff(c_943297,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_943268]) ).
tff(c_943298,plain,
product(e_4,e_5,e_3),
inference(splitRight,[status(thm)],[c_943261]) ).
tff(c_942939,plain,
! [X_18] :
( product(X_18,e_3,e_2)
| ~ product(X_18,e_5,e_3) ),
inference(resolution,[status(thm)],[c_942904,c_124]) ).
tff(c_943306,plain,
product(e_4,e_3,e_2),
inference(resolution,[status(thm)],[c_943298,c_942939]) ).
tff(c_943336,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_942059,c_943306]) ).
tff(c_943337,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_942852]) ).
tff(c_943339,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_943337]) ).
tff(c_943344,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_943339,c_935393]) ).
tff(c_943373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_943344]) ).
tff(c_943374,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_943337]) ).
tff(c_943575,plain,
! [X_13778] :
( product(X_13778,e_3,e_3)
| ~ product(X_13778,e_5,e_3) ),
inference(resolution,[status(thm)],[c_943374,c_124]) ).
tff(c_943579,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_943374,c_943575]) ).
tff(c_943428,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_943374,c_120]) ).
tff(c_943582,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_943579,c_943428]) ).
tff(c_943607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_943582]) ).
tff(c_943608,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_935645]) ).
tff(c_943610,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_943608]) ).
tff(c_943699,plain,
! [W_13781] :
( equalish(W_13781,e_5)
| ~ product(e_5,W_13781,e_5) ),
inference(resolution,[status(thm)],[c_943610,c_120]) ).
tff(c_943718,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_856709,c_943699]) ).
tff(c_943751,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_943718]) ).
tff(c_943752,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_943751]) ).
tff(c_943893,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_943752]) ).
tff(c_944078,plain,
! [X_13787] :
( product(X_13787,e_5,e_1)
| ~ product(X_13787,e_6,e_5) ),
inference(resolution,[status(thm)],[c_943893,c_124]) ).
tff(c_944120,plain,
product(e_3,e_5,e_1),
inference(resolution,[status(thm)],[c_896288,c_944078]) ).
tff(c_944233,plain,
( equalish(e_1,e_4)
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[c_944120,c_935136]) ).
tff(c_944256,plain,
~ product(e_3,e_3,e_5),
inference(negUnitSimplification,[status(thm)],[c_60,c_944233]) ).
tff(c_942063,plain,
( product(e_4,e_3,e_6)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_942058,c_219]) ).
tff(c_942082,plain,
( product(e_4,e_3,e_6)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_942063]) ).
tff(c_942083,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_935899,c_942082]) ).
tff(c_946234,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_942384,c_944256,c_942083]) ).
tff(c_946235,plain,
product(e_3,e_3,e_1),
inference(splitLeft,[status(thm)],[c_946234]) ).
tff(c_944807,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_935969]) ).
tff(c_944278,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_944120,c_122]) ).
tff(c_944819,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_944807,c_944278]) ).
tff(c_944853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_944819]) ).
tff(c_944854,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_935969]) ).
tff(c_944860,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_944854]) ).
tff(c_943651,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_5) ),
inference(resolution,[status(thm)],[c_943610,c_122]) ).
tff(c_944868,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_944860,c_943651]) ).
tff(c_944897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_944868]) ).
tff(c_944898,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_944854]) ).
tff(c_944942,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_944898]) ).
tff(c_945082,plain,
! [X_13809] :
( product(X_13809,e_4,e_2)
| ~ product(X_13809,e_5,e_4) ),
inference(resolution,[status(thm)],[c_944942,c_124]) ).
tff(c_945089,plain,
product(e_6,e_4,e_2),
inference(resolution,[status(thm)],[c_935348,c_945082]) ).
tff(c_942230,plain,
! [X_18,X_13748] :
( product(X_18,X_13748,e_3)
| ~ product(X_18,e_4,X_13748)
| ~ product(X_13748,e_3,e_4) ),
inference(resolution,[status(thm)],[c_942187,c_124]) ).
tff(c_945110,plain,
( product(e_6,e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[c_945089,c_942230]) ).
tff(c_945532,plain,
~ product(e_2,e_3,e_4),
inference(splitLeft,[status(thm)],[c_945110]) ).
tff(c_944970,plain,
( product(e_4,e_2,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[c_944942,c_935133]) ).
tff(c_945224,plain,
~ product(e_2,e_3,e_5),
inference(splitLeft,[status(thm)],[c_944970]) ).
tff(c_944448,plain,
! [X_13793] :
( product(X_13793,e_5,e_1)
| ~ product(X_13793,e_3,e_6) ),
inference(resolution,[status(thm)],[c_896699,c_944078]) ).
tff(c_944541,plain,
! [X_18,X_13793] :
( product(X_18,X_13793,e_1)
| ~ product(X_18,e_5,X_13793)
| ~ product(X_13793,e_3,e_6) ),
inference(resolution,[status(thm)],[c_944448,c_124]) ).
tff(c_944967,plain,
( product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_6) ),
inference(resolution,[status(thm)],[c_944942,c_944541]) ).
tff(c_945604,plain,
~ product(e_2,e_3,e_6),
inference(splitLeft,[status(thm)],[c_944967]) ).
tff(c_945607,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_945604]) ).
tff(c_945610,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48,c_945607]) ).
tff(c_945611,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_945532,c_945224,c_945610]) ).
tff(c_946065,plain,
product(e_2,e_3,e_1),
inference(splitLeft,[status(thm)],[c_945611]) ).
tff(c_946111,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_946065,c_122]) ).
tff(c_946238,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_946235,c_946111]) ).
tff(c_946266,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_946238]) ).
tff(c_946267,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(splitRight,[status(thm)],[c_946234]) ).
tff(c_946269,plain,
product(e_3,e_3,e_3),
inference(splitLeft,[status(thm)],[c_946267]) ).
tff(c_942094,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_3,e_3) ),
inference(resolution,[status(thm)],[c_942058,c_122]) ).
tff(c_946282,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_946269,c_942094]) ).
tff(c_946304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_946282]) ).
tff(c_946305,plain,
product(e_3,e_3,e_2),
inference(splitRight,[status(thm)],[c_946267]) ).
tff(c_946109,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_3,e_2) ),
inference(resolution,[status(thm)],[c_946065,c_124]) ).
tff(c_946328,plain,
product(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c_946305,c_946109]) ).
tff(c_944277,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_3,W_11,e_1) ),
inference(resolution,[status(thm)],[c_944120,c_120]) ).
tff(c_946353,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_946328,c_944277]) ).
tff(c_946384,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_946353]) ).
tff(c_946385,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(splitRight,[status(thm)],[c_945611]) ).
tff(c_946387,plain,
product(e_2,e_3,e_3),
inference(splitLeft,[status(thm)],[c_946385]) ).
tff(c_946392,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_946387,c_942094]) ).
tff(c_946414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_946392]) ).
tff(c_946415,plain,
product(e_2,e_3,e_2),
inference(splitRight,[status(thm)],[c_946385]) ).
tff(c_946557,plain,
! [X_13848] :
( product(X_13848,e_2,e_2)
| ~ product(X_13848,e_3,e_2) ),
inference(resolution,[status(thm)],[c_946415,c_124]) ).
tff(c_946561,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_946415,c_946557]) ).
tff(c_946460,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_946415,c_120]) ).
tff(c_946564,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_946561,c_946460]) ).
tff(c_946591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_946564]) ).
tff(c_946593,plain,
product(e_2,e_3,e_6),
inference(splitRight,[status(thm)],[c_944967]) ).
tff(c_946604,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_946593,c_897029]) ).
tff(c_946634,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_946604]) ).
tff(c_946636,plain,
product(e_2,e_3,e_4),
inference(splitRight,[status(thm)],[c_945110]) ).
tff(c_942201,plain,
! [X_13748] :
( equalish(e_4,e_1)
| ~ next(X_13748,e_3)
| product(X_13748,e_1,e_2)
| product(X_13748,e_1,e_1)
| ~ group_element(X_13748)
| ~ product(X_13748,e_3,e_4) ),
inference(resolution,[status(thm)],[c_942187,c_312]) ).
tff(c_942225,plain,
! [X_13748] :
( ~ next(X_13748,e_3)
| product(X_13748,e_1,e_2)
| product(X_13748,e_1,e_1)
| ~ group_element(X_13748)
| ~ product(X_13748,e_3,e_4) ),
inference(negUnitSimplification,[status(thm)],[c_86,c_942201]) ).
tff(c_946639,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_946636,c_942225]) ).
tff(c_946666,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_946639]) ).
tff(c_946668,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_946666]) ).
tff(c_946670,plain,
product(e_2,e_3,e_5),
inference(splitRight,[status(thm)],[c_944970]) ).
tff(c_946768,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_946670,c_935376]) ).
tff(c_946797,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_946768]) ).
tff(c_946798,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_943752]) ).
tff(c_946800,plain,
product(e_5,e_6,e_4),
inference(splitLeft,[status(thm)],[c_946798]) ).
tff(c_946814,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_946800,c_935017]) ).
tff(c_946845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_946814]) ).
tff(c_946846,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_946798]) ).
tff(c_946940,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_946846]) ).
tff(c_947088,plain,
! [X_13855] :
( product(X_13855,e_5,e_2)
| ~ product(X_13855,e_6,e_5) ),
inference(resolution,[status(thm)],[c_946940,c_124]) ).
tff(c_947130,plain,
product(e_3,e_5,e_2),
inference(resolution,[status(thm)],[c_896288,c_947088]) ).
tff(c_947155,plain,
( equalish(e_2,e_4)
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[c_947130,c_935136]) ).
tff(c_947173,plain,
~ product(e_3,e_3,e_5),
inference(negUnitSimplification,[status(thm)],[c_70,c_947155]) ).
tff(c_949187,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_942384,c_947173,c_942083]) ).
tff(c_949188,plain,
product(e_3,e_3,e_1),
inference(splitLeft,[status(thm)],[c_949187]) ).
tff(c_947641,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_935969]) ).
tff(c_947818,plain,
! [X_13874] :
( product(X_13874,e_4,e_1)
| ~ product(X_13874,e_5,e_4) ),
inference(resolution,[status(thm)],[c_947641,c_124]) ).
tff(c_947825,plain,
product(e_6,e_4,e_1),
inference(resolution,[status(thm)],[c_935348,c_947818]) ).
tff(c_947859,plain,
( product(e_6,e_1,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[c_947825,c_942230]) ).
tff(c_948413,plain,
~ product(e_1,e_3,e_4),
inference(splitLeft,[status(thm)],[c_947859]) ).
tff(c_947674,plain,
( product(e_4,e_1,e_4)
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[c_947641,c_935133]) ).
tff(c_948005,plain,
~ product(e_1,e_3,e_5),
inference(splitLeft,[status(thm)],[c_947674]) ).
tff(c_947334,plain,
! [X_13860] :
( product(X_13860,e_5,e_2)
| ~ product(X_13860,e_3,e_6) ),
inference(resolution,[status(thm)],[c_896699,c_947088]) ).
tff(c_947402,plain,
! [X_18,X_13860] :
( product(X_18,X_13860,e_2)
| ~ product(X_18,e_5,X_13860)
| ~ product(X_13860,e_3,e_6) ),
inference(resolution,[status(thm)],[c_947334,c_124]) ).
tff(c_947671,plain,
( product(e_4,e_1,e_2)
| ~ product(e_1,e_3,e_6) ),
inference(resolution,[status(thm)],[c_947641,c_947402]) ).
tff(c_948430,plain,
~ product(e_1,e_3,e_6),
inference(splitLeft,[status(thm)],[c_947671]) ).
tff(c_948433,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_948430]) ).
tff(c_948436,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_48,c_948433]) ).
tff(c_948437,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_948413,c_948005,c_948436]) ).
tff(c_948985,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_948437]) ).
tff(c_948999,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_948985,c_2267]) ).
tff(c_949031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_948999]) ).
tff(c_949032,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(splitRight,[status(thm)],[c_948437]) ).
tff(c_949034,plain,
product(e_1,e_3,e_3),
inference(splitLeft,[status(thm)],[c_949032]) ).
tff(c_949039,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_949034,c_942094]) ).
tff(c_949061,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_949039]) ).
tff(c_949062,plain,
product(e_1,e_3,e_2),
inference(splitRight,[status(thm)],[c_949032]) ).
tff(c_949094,plain,
! [X_18] :
( product(X_18,e_1,e_2)
| ~ product(X_18,e_3,e_1) ),
inference(resolution,[status(thm)],[c_949062,c_124]) ).
tff(c_949215,plain,
product(e_3,e_1,e_2),
inference(resolution,[status(thm)],[c_949188,c_949094]) ).
tff(c_947186,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_947130,c_120]) ).
tff(c_949250,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_949215,c_947186]) ).
tff(c_949305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_949250]) ).
tff(c_949306,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(splitRight,[status(thm)],[c_949187]) ).
tff(c_949308,plain,
product(e_3,e_3,e_3),
inference(splitLeft,[status(thm)],[c_949306]) ).
tff(c_949313,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_949308,c_942094]) ).
tff(c_949335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_949313]) ).
tff(c_949336,plain,
product(e_3,e_3,e_2),
inference(splitRight,[status(thm)],[c_949306]) ).
tff(c_949096,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_3,e_2) ),
inference(resolution,[status(thm)],[c_949062,c_122]) ).
tff(c_949340,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_949336,c_949096]) ).
tff(c_949363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_949340]) ).
tff(c_949365,plain,
product(e_1,e_3,e_6),
inference(splitRight,[status(thm)],[c_947671]) ).
tff(c_949374,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_949365,c_897029]) ).
tff(c_949401,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_949374]) ).
tff(c_949403,plain,
product(e_1,e_3,e_4),
inference(splitRight,[status(thm)],[c_947859]) ).
tff(c_949416,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_949403,c_935018]) ).
tff(c_949445,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_949416]) ).
tff(c_949447,plain,
product(e_1,e_3,e_5),
inference(splitRight,[status(thm)],[c_947674]) ).
tff(c_949455,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_949447,c_935376]) ).
tff(c_949483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_949455]) ).
tff(c_949484,plain,
product(e_5,e_6,e_3),
inference(splitRight,[status(thm)],[c_946846]) ).
tff(c_942231,plain,
! [W_11,X_13748] :
( equalish(W_11,e_4)
| ~ product(X_13748,W_11,e_3)
| ~ product(X_13748,e_3,e_4) ),
inference(resolution,[status(thm)],[c_942187,c_120]) ).
tff(c_949487,plain,
( equalish(e_6,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[c_949484,c_942231]) ).
tff(c_949522,plain,
equalish(e_6,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_934990,c_949487]) ).
tff(c_949524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_949522]) ).
tff(c_949525,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_943608]) ).
tff(c_949569,plain,
product(e_5,e_5,e_2),
inference(splitLeft,[status(thm)],[c_949525]) ).
tff(c_949603,plain,
! [X_18] :
( product(X_18,e_5,e_2)
| ~ product(X_18,e_5,e_5) ),
inference(resolution,[status(thm)],[c_949569,c_124]) ).
tff(c_950094,plain,
product(e_4,e_5,e_2),
inference(resolution,[status(thm)],[c_950069,c_949603]) ).
tff(c_949605,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_949569,c_122]) ).
tff(c_950118,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_950094,c_949605]) ).
tff(c_950141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_950118]) ).
tff(c_950142,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_950067]) ).
tff(c_950214,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_950142]) ).
tff(c_950217,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_950214,c_949605]) ).
tff(c_950240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_950217]) ).
tff(c_950241,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_950142]) ).
tff(c_950243,plain,
product(e_4,e_5,e_4),
inference(splitLeft,[status(thm)],[c_950241]) ).
tff(c_950248,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_950243,c_935393]) ).
tff(c_950277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_950248]) ).
tff(c_950278,plain,
product(e_4,e_5,e_3),
inference(splitRight,[status(thm)],[c_950241]) ).
tff(c_949839,plain,
! [X_18] :
( product(X_18,e_3,e_1)
| ~ product(X_18,e_5,e_3) ),
inference(resolution,[status(thm)],[c_949791,c_124]) ).
tff(c_950332,plain,
product(e_4,e_3,e_1),
inference(resolution,[status(thm)],[c_950278,c_949839]) ).
tff(c_950362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_937699,c_950332]) ).
tff(c_950363,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_935651]) ).
tff(c_950365,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_950363]) ).
tff(c_950380,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_950365,c_896325]) ).
tff(c_950408,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_950380]) ).
tff(c_950409,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_950363]) ).
tff(c_950453,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_950409]) ).
tff(c_950456,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_950453,c_949605]) ).
tff(c_950479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_950456]) ).
tff(c_950480,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_950409]) ).
tff(c_950528,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_950480]) ).
tff(c_950533,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_950528,c_935393]) ).
tff(c_950562,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_950533]) ).
tff(c_950563,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_950480]) ).
tff(c_950874,plain,
! [X_13935] :
( product(X_13935,e_3,e_3)
| ~ product(X_13935,e_5,e_3) ),
inference(resolution,[status(thm)],[c_950563,c_124]) ).
tff(c_950878,plain,
product(e_3,e_3,e_3),
inference(resolution,[status(thm)],[c_950563,c_950874]) ).
tff(c_950639,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_950563,c_120]) ).
tff(c_950881,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_950878,c_950639]) ).
tff(c_950906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_950881]) ).
tff(c_950907,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_949525]) ).
tff(c_950909,plain,
product(e_5,e_5,e_4),
inference(splitLeft,[status(thm)],[c_950907]) ).
tff(c_950914,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_950909,c_935393]) ).
tff(c_950946,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_950914]) ).
tff(c_950947,plain,
product(e_5,e_5,e_3),
inference(splitRight,[status(thm)],[c_950907]) ).
tff(c_950954,plain,
( equalish(e_5,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[c_950947,c_942231]) ).
tff(c_950978,plain,
equalish(e_5,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_934990,c_950954]) ).
tff(c_950980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102,c_950978]) ).
tff(c_950982,plain,
product(e_3,e_3,e_4),
inference(splitRight,[status(thm)],[c_942359]) ).
tff(c_950989,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_950982,c_935018]) ).
tff(c_951012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_950989]) ).
tff(c_951014,plain,
product(e_4,e_5,e_6),
inference(splitRight,[status(thm)],[c_935819]) ).
tff(c_951022,plain,
( product(e_4,e_6,e_4)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_951014,c_935133]) ).
tff(c_951046,plain,
product(e_4,e_6,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_896679,c_951022]) ).
tff(c_935629,plain,
! [X_18,X_13610] :
( product(X_18,X_13610,e_4)
| ~ product(X_18,e_6,X_13610)
| ~ product(X_13610,e_5,e_6) ),
inference(resolution,[status(thm)],[c_935558,c_124]) ).
tff(c_951080,plain,
( product(e_4,e_4,e_4)
| ~ product(e_4,e_5,e_6) ),
inference(resolution,[status(thm)],[c_951046,c_935629]) ).
tff(c_951111,plain,
product(e_4,e_4,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_951014,c_951080]) ).
tff(c_935630,plain,
! [W_11,X_13610] :
( equalish(W_11,e_6)
| ~ product(X_13610,W_11,e_4)
| ~ product(X_13610,e_5,e_6) ),
inference(resolution,[status(thm)],[c_935558,c_120]) ).
tff(c_951140,plain,
( equalish(e_4,e_6)
| ~ product(e_4,e_5,e_6) ),
inference(resolution,[status(thm)],[c_951111,c_935630]) ).
tff(c_951159,plain,
equalish(e_4,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_951014,c_951140]) ).
tff(c_951161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_951159]) ).
tff(c_951163,plain,
product(e_4,e_3,e_6),
inference(splitRight,[status(thm)],[c_935608]) ).
tff(c_951166,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_951163,c_897029]) ).
tff(c_951189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_951166]) ).
tff(c_951191,plain,
~ product(e_6,e_5,e_4),
inference(splitRight,[status(thm)],[c_935346]) ).
tff(c_951194,plain,
~ product(e_6,e_3,e_5),
inference(resolution,[status(thm)],[c_935016,c_951191]) ).
tff(c_951198,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_896679,c_951194]) ).
tff(c_951200,plain,
product(e_4,e_3,e_5),
inference(splitRight,[status(thm)],[c_935252]) ).
tff(c_951205,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_951200,c_896701]) ).
tff(c_951224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_951205]) ).
tff(c_951225,plain,
product(e_5,e_3,e_3),
inference(splitRight,[status(thm)],[c_934988]) ).
tff(c_951354,plain,
! [X_13940] :
( product(X_13940,e_5,e_3)
| ~ product(X_13940,e_3,e_5) ),
inference(resolution,[status(thm)],[c_951225,c_124]) ).
tff(c_951362,plain,
( equalish(e_5,e_6)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_951354,c_856465]) ).
tff(c_951383,plain,
equalish(e_5,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_896679,c_951362]) ).
tff(c_951385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_951383]) ).
tff(c_951386,plain,
product(e_3,e_5,e_5),
inference(splitRight,[status(thm)],[c_897174]) ).
tff(c_951392,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_951386,c_896325]) ).
tff(c_951411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_951392]) ).
tff(c_951412,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_896286]) ).
tff(c_951456,plain,
product(e_3,e_6,e_3),
inference(splitLeft,[status(thm)],[c_951412]) ).
tff(c_951475,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_951456,c_856466]) ).
tff(c_951495,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_951475]) ).
tff(c_951496,plain,
product(e_3,e_6,e_4),
inference(splitRight,[status(thm)],[c_951412]) ).
tff(c_951499,plain,
( equalish(e_6,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_951496,c_2639]) ).
tff(c_951514,plain,
( equalish(e_6,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_951499]) ).
tff(c_951515,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_951514]) ).
tff(c_952083,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_951515]) ).
tff(c_952108,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_952083,c_2268]) ).
tff(c_952159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_952108]) ).
tff(c_952160,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_951515]) ).
tff(c_952194,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_952160]) ).
tff(c_952459,plain,
! [X_13965] :
( product(X_13965,e_3,e_3)
| ~ product(X_13965,e_1,e_3) ),
inference(resolution,[status(thm)],[c_952194,c_124]) ).
tff(c_952296,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_952194,c_120]) ).
tff(c_952463,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_952459,c_952296]) ).
tff(c_952490,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_952194,c_952463]) ).
tff(c_952492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_952490]) ).
tff(c_952493,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_952160]) ).
tff(c_952526,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_952493,c_311]) ).
tff(c_952583,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_952526]) ).
tff(c_952584,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_952583]) ).
tff(c_952949,plain,
! [X_13973] :
( product(X_13973,e_3,e_3)
| ~ product(X_13973,e_2,e_3) ),
inference(resolution,[status(thm)],[c_952584,c_124]) ).
tff(c_952646,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_952584,c_120]) ).
tff(c_952953,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_952949,c_952646]) ).
tff(c_952980,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_952584,c_952953]) ).
tff(c_952982,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_952980]) ).
tff(c_952984,plain,
~ product(e_1,e_1,e_1),
inference(splitRight,[status(thm)],[c_2178]) ).
tff(c_961368,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1770]) ).
tff(c_961561,plain,
! [X_18] :
( product(X_18,e_2,e_3)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_961368,c_124]) ).
tff(c_961871,plain,
! [X_14234] :
( product(X_14234,e_2,e_3)
| ~ product(X_14234,e_1,e_2) ),
inference(resolution,[status(thm)],[c_961368,c_124]) ).
tff(c_962203,plain,
! [X_14241,X_14242] :
( product(X_14241,X_14242,e_3)
| ~ product(X_14241,e_2,X_14242)
| ~ product(X_14242,e_1,e_2) ),
inference(resolution,[status(thm)],[c_961871,c_124]) ).
tff(c_962255,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_2)
| ~ product(X_18,e_1,e_2) ),
inference(resolution,[status(thm)],[c_961561,c_962203]) ).
tff(c_962297,plain,
~ product(e_3,e_1,e_2),
inference(splitLeft,[status(thm)],[c_962255]) ).
tff(c_954007,plain,
! [X_13992] :
( ~ next(X_13992,e_4)
| product(X_13992,e_1,e_4)
| product(X_13992,e_1,e_3)
| product(X_13992,e_1,e_2)
| product(X_13992,e_1,e_1)
| ~ group_element(X_13992) ),
inference(resolution,[status(thm)],[c_1277,c_163]) ).
tff(c_954054,plain,
! [X_18,X_13992] :
( product(X_18,X_13992,e_4)
| ~ product(X_18,e_1,X_13992)
| ~ next(X_13992,e_4)
| product(X_13992,e_1,e_3)
| product(X_13992,e_1,e_2)
| product(X_13992,e_1,e_1)
| ~ group_element(X_13992) ),
inference(resolution,[status(thm)],[c_954007,c_124]) ).
tff(c_961372,plain,
( product(e_2,e_3,e_4)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_961368,c_954054]) ).
tff(c_961450,plain,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_961372]) ).
tff(c_962541,plain,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_962297,c_961450]) ).
tff(c_962542,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_962541]) ).
tff(c_1790,plain,
! [X_18,X_136] :
( product(X_18,X_136,e_2)
| ~ product(X_18,e_1,X_136)
| ~ next(X_136,e_2)
| product(X_136,e_1,e_1)
| ~ group_element(X_136) ),
inference(resolution,[status(thm)],[c_1732,c_124]) ).
tff(c_962600,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_962542,c_1790]) ).
tff(c_962702,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_962600]) ).
tff(c_962704,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_962297,c_962702]) ).
tff(c_962706,plain,
~ product(e_3,e_1,e_1),
inference(splitRight,[status(thm)],[c_962541]) ).
tff(c_961420,plain,
( product(e_2,e_3,e_6)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_961368,c_219]) ).
tff(c_961544,plain,
( product(e_2,e_3,e_6)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_44,c_961420]) ).
tff(c_965114,plain,
( product(e_2,e_3,e_6)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_962706,c_962297,c_961544]) ).
tff(c_965115,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_965114]) ).
tff(c_961564,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_961368,c_122]) ).
tff(c_965132,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_965115,c_961564]) ).
tff(c_965238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_965132]) ).
tff(c_965240,plain,
~ product(e_3,e_1,e_3),
inference(splitRight,[status(thm)],[c_965114]) ).
tff(c_962705,plain,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_962541]) ).
tff(c_962784,plain,
product(e_2,e_3,e_4),
inference(splitLeft,[status(thm)],[c_962705]) ).
tff(c_965239,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_5)
| product(e_2,e_3,e_6) ),
inference(splitRight,[status(thm)],[c_965114]) ).
tff(c_965437,plain,
product(e_2,e_3,e_6),
inference(splitLeft,[status(thm)],[c_965239]) ).
tff(c_962813,plain,
! [W_8] :
( equalish(W_8,e_4)
| ~ product(e_2,e_3,W_8) ),
inference(resolution,[status(thm)],[c_962784,c_118]) ).
tff(c_965441,plain,
equalish(e_6,e_4),
inference(resolution,[status(thm)],[c_965437,c_962813]) ).
tff(c_965461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_965441]) ).
tff(c_965462,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_965239]) ).
tff(c_965470,plain,
product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_965462]) ).
tff(c_965908,plain,
! [X_14296] :
( product(X_14296,e_3,e_4)
| ~ product(X_14296,e_1,e_3) ),
inference(resolution,[status(thm)],[c_965470,c_124]) ).
tff(c_966093,plain,
! [X_14304,X_14305] :
( product(X_14304,X_14305,e_4)
| ~ product(X_14304,e_3,X_14305)
| ~ product(X_14305,e_1,e_3) ),
inference(resolution,[status(thm)],[c_965908,c_124]) ).
tff(c_966130,plain,
( product(e_2,e_4,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[c_962784,c_966093]) ).
tff(c_966163,plain,
~ product(e_4,e_1,e_3),
inference(splitLeft,[status(thm)],[c_966130]) ).
tff(c_1938,plain,
! [X_18,X_139] :
( product(X_18,X_139,e_5)
| ~ product(X_18,e_1,X_139)
| ~ next(X_139,e_5)
| product(X_139,e_1,e_4)
| product(X_139,e_1,e_3)
| product(X_139,e_1,e_2)
| product(X_139,e_1,e_1)
| ~ group_element(X_139) ),
inference(resolution,[status(thm)],[c_1888,c_124]) ).
tff(c_965472,plain,
( product(e_3,e_4,e_5)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_965470,c_1938]) ).
tff(c_965548,plain,
( product(e_3,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_965472]) ).
tff(c_967328,plain,
( product(e_3,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_966163,c_965548]) ).
tff(c_967329,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_967328]) ).
tff(c_967397,plain,
( product(e_4,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_967329,c_1790]) ).
tff(c_967519,plain,
( product(e_4,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_967397]) ).
tff(c_967520,plain,
product(e_4,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_967519]) ).
tff(c_968034,plain,
! [W_14312] :
( equalish(W_14312,e_1)
| ~ product(e_4,e_1,W_14312) ),
inference(resolution,[status(thm)],[c_967329,c_118]) ).
tff(c_968037,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_967520,c_968034]) ).
tff(c_968166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_968037]) ).
tff(c_968167,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_967328]) ).
tff(c_968205,plain,
product(e_3,e_4,e_5),
inference(splitLeft,[status(thm)],[c_968167]) ).
tff(c_968168,plain,
~ product(e_4,e_1,e_1),
inference(splitRight,[status(thm)],[c_967328]) ).
tff(c_953077,plain,
! [Y_5] :
( product(e_6,e_6,e_6)
| product(e_6,Y_5,e_4)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(Y_5)
| ~ group_element(e_6)
| product(e_6,Y_5,e_5) ),
inference(factorization,[status(thm),theory(equality)],[c_501]) ).
tff(c_953089,plain,
! [Y_5] :
( product(e_6,e_6,e_6)
| product(e_6,Y_5,e_4)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(Y_5)
| product(e_6,Y_5,e_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_953077]) ).
tff(c_955133,plain,
product(e_6,e_6,e_6),
inference(splitLeft,[status(thm)],[c_953089]) ).
tff(c_955141,plain,
! [Y_57] :
( equalish(e_6,Y_57)
| product(e_6,Y_57,e_5)
| product(e_6,Y_57,e_4)
| product(e_6,Y_57,e_3)
| product(e_6,Y_57,e_2)
| product(e_6,Y_57,e_1)
| ~ group_element(Y_57)
| ~ group_element(e_6) ),
inference(resolution,[status(thm)],[c_955133,c_226]) ).
tff(c_955161,plain,
! [Y_57] :
( equalish(e_6,Y_57)
| product(e_6,Y_57,e_5)
| product(e_6,Y_57,e_4)
| product(e_6,Y_57,e_3)
| product(e_6,Y_57,e_2)
| product(e_6,Y_57,e_1)
| ~ group_element(Y_57) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_955141]) ).
tff(c_968368,plain,
! [W_14315] :
( equalish(W_14315,e_3)
| ~ product(W_14315,e_4,e_5) ),
inference(resolution,[status(thm)],[c_968205,c_122]) ).
tff(c_968379,plain,
( equalish(e_6,e_3)
| equalish(e_6,e_4)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_955161,c_968368]) ).
tff(c_968418,plain,
( equalish(e_6,e_3)
| equalish(e_6,e_4)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_968379]) ).
tff(c_968419,plain,
( product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_110,c_968418]) ).
tff(c_968443,plain,
product(e_6,e_4,e_1),
inference(splitLeft,[status(thm)],[c_968419]) ).
tff(c_968499,plain,
! [X_18] :
( product(X_18,e_6,e_1)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_968443,c_124]) ).
tff(c_968651,plain,
! [X_14320] :
( product(X_14320,e_6,e_1)
| ~ product(X_14320,e_4,e_6) ),
inference(resolution,[status(thm)],[c_968443,c_124]) ).
tff(c_968877,plain,
! [X_14327,X_14328] :
( product(X_14327,X_14328,e_1)
| ~ product(X_14327,e_6,X_14328)
| ~ product(X_14328,e_4,e_6) ),
inference(resolution,[status(thm)],[c_968651,c_124]) ).
tff(c_968919,plain,
! [X_18] :
( product(X_18,e_1,e_1)
| ~ product(e_1,e_4,e_6)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_968499,c_968877]) ).
tff(c_968954,plain,
~ product(e_1,e_4,e_6),
inference(splitLeft,[status(thm)],[c_968919]) ).
tff(c_968957,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_968954]) ).
tff(c_968960,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_968957]) ).
tff(c_970448,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_968960]) ).
tff(c_968501,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_968443,c_122]) ).
tff(c_970453,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_970448,c_968501]) ).
tff(c_970483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_970453]) ).
tff(c_970484,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_968960]) ).
tff(c_970493,plain,
product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_970484]) ).
tff(c_968233,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_4,e_5) ),
inference(resolution,[status(thm)],[c_968205,c_122]) ).
tff(c_970496,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_970493,c_968233]) ).
tff(c_970514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_970496]) ).
tff(c_970515,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_970484]) ).
tff(c_970560,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_970515]) ).
tff(c_1792,plain,
! [W_11,X_136] :
( equalish(W_11,e_1)
| ~ product(X_136,W_11,e_2)
| ~ next(X_136,e_2)
| product(X_136,e_1,e_1)
| ~ group_element(X_136) ),
inference(resolution,[status(thm)],[c_1732,c_120]) ).
tff(c_970578,plain,
( equalish(e_4,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_970560,c_1792]) ).
tff(c_970625,plain,
( equalish(e_4,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_970578]) ).
tff(c_970627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_86,c_970625]) ).
tff(c_970628,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_970515]) ).
tff(c_970874,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_970628]) ).
tff(c_972032,plain,
! [X_14356] :
( product(X_14356,e_1,e_4)
| ~ product(X_14356,e_4,e_1) ),
inference(resolution,[status(thm)],[c_970874,c_124]) ).
tff(c_972036,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_968443,c_972032]) ).
tff(c_965656,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_965470,c_122]) ).
tff(c_972041,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_972036,c_965656]) ).
tff(c_972123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_972041]) ).
tff(c_972124,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_970628]) ).
tff(c_1885,plain,
! [W_11,X_138] :
( equalish(W_11,e_2)
| ~ product(X_138,W_11,e_3)
| ~ next(X_138,e_2)
| product(X_138,e_1,e_1)
| ~ group_element(X_138) ),
inference(resolution,[status(thm)],[c_1843,c_120]) ).
tff(c_972148,plain,
( equalish(e_4,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_972124,c_1885]) ).
tff(c_972201,plain,
( equalish(e_4,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_972148]) ).
tff(c_972203,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_88,c_972201]) ).
tff(c_972205,plain,
product(e_1,e_4,e_6),
inference(splitRight,[status(thm)],[c_968919]) ).
tff(c_972329,plain,
! [X_14360] :
( product(X_14360,e_1,e_1)
| ~ product(X_14360,e_4,e_6) ),
inference(splitRight,[status(thm)],[c_968919]) ).
tff(c_972332,plain,
product(e_1,e_1,e_1),
inference(resolution,[status(thm)],[c_972205,c_972329]) ).
tff(c_972340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_972332]) ).
tff(c_972341,plain,
( product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_968419]) ).
tff(c_972407,plain,
product(e_6,e_4,e_4),
inference(splitLeft,[status(thm)],[c_972341]) ).
tff(c_972438,plain,
! [X_18] :
( product(X_18,e_6,e_4)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_972407,c_124]) ).
tff(c_972569,plain,
! [X_14364] :
( product(X_14364,e_6,e_4)
| ~ product(X_14364,e_4,e_6) ),
inference(resolution,[status(thm)],[c_972407,c_124]) ).
tff(c_973030,plain,
! [X_14372,X_14373] :
( product(X_14372,X_14373,e_4)
| ~ product(X_14372,e_6,X_14373)
| ~ product(X_14373,e_4,e_6) ),
inference(resolution,[status(thm)],[c_972569,c_124]) ).
tff(c_973072,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_4,e_6)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_972438,c_973030]) ).
tff(c_973906,plain,
~ product(e_4,e_4,e_6),
inference(splitLeft,[status(thm)],[c_973072]) ).
tff(c_973978,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_973906]) ).
tff(c_973981,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_973978]) ).
tff(c_975749,plain,
product(e_4,e_4,e_1),
inference(splitLeft,[status(thm)],[c_973981]) ).
tff(c_962811,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_2,W_11,e_4) ),
inference(resolution,[status(thm)],[c_962784,c_120]) ).
tff(c_972583,plain,
( equalish(e_6,e_3)
| ~ product(e_2,e_4,e_6) ),
inference(resolution,[status(thm)],[c_972569,c_962811]) ).
tff(c_972613,plain,
~ product(e_2,e_4,e_6),
inference(negUnitSimplification,[status(thm)],[c_110,c_972583]) ).
tff(c_972646,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_972613]) ).
tff(c_972649,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_972646]) ).
tff(c_975547,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_972649]) ).
tff(c_975605,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_975547,c_122]) ).
tff(c_975752,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_975749,c_975605]) ).
tff(c_975780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_975752]) ).
tff(c_975781,plain,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_973981]) ).
tff(c_975783,plain,
product(e_4,e_4,e_5),
inference(splitLeft,[status(thm)],[c_975781]) ).
tff(c_975786,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_975783,c_968233]) ).
tff(c_975804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_975786]) ).
tff(c_975805,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_975781]) ).
tff(c_975851,plain,
product(e_4,e_4,e_2),
inference(splitLeft,[status(thm)],[c_975805]) ).
tff(c_975603,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_4,e_2) ),
inference(resolution,[status(thm)],[c_975547,c_124]) ).
tff(c_975885,plain,
product(e_4,e_2,e_1),
inference(resolution,[status(thm)],[c_975851,c_975603]) ).
tff(c_1884,plain,
! [X_18,X_138] :
( product(X_18,X_138,e_3)
| ~ product(X_18,e_2,X_138)
| ~ next(X_138,e_2)
| product(X_138,e_1,e_1)
| ~ group_element(X_138) ),
inference(resolution,[status(thm)],[c_1843,c_124]) ).
tff(c_976099,plain,
( product(e_4,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_975885,c_1884]) ).
tff(c_976187,plain,
( product(e_4,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_976099]) ).
tff(c_976189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_966163,c_976187]) ).
tff(c_976190,plain,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_975805]) ).
tff(c_976192,plain,
product(e_4,e_4,e_4),
inference(splitLeft,[status(thm)],[c_976190]) ).
tff(c_972440,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_4) ),
inference(resolution,[status(thm)],[c_972407,c_122]) ).
tff(c_976197,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_976192,c_972440]) ).
tff(c_976219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_976197]) ).
tff(c_976220,plain,
product(e_4,e_4,e_3),
inference(splitRight,[status(thm)],[c_976190]) ).
tff(c_961986,plain,
! [W_11,X_14234] :
( equalish(W_11,e_2)
| ~ product(X_14234,W_11,e_3)
| ~ product(X_14234,e_1,e_2) ),
inference(resolution,[status(thm)],[c_961871,c_120]) ).
tff(c_976231,plain,
( equalish(e_4,e_2)
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[c_976220,c_961986]) ).
tff(c_976271,plain,
~ product(e_4,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_88,c_976231]) ).
tff(c_968231,plain,
! [X_18] :
( product(X_18,e_3,e_5)
| ~ product(X_18,e_4,e_3) ),
inference(resolution,[status(thm)],[c_968205,c_124]) ).
tff(c_976260,plain,
product(e_4,e_3,e_5),
inference(resolution,[status(thm)],[c_976220,c_968231]) ).
tff(c_976829,plain,
! [W_14403] :
( equalish(W_14403,e_3)
| ~ product(e_4,W_14403,e_5) ),
inference(resolution,[status(thm)],[c_976260,c_120]) ).
tff(c_976870,plain,
( equalish(e_1,e_3)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_236,c_976829]) ).
tff(c_976901,plain,
( equalish(e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_976870]) ).
tff(c_976902,plain,
product(e_4,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_968168,c_976271,c_966163,c_58,c_976901]) ).
tff(c_976910,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_976902,c_965656]) ).
tff(c_976993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_976910]) ).
tff(c_976994,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_972649]) ).
tff(c_976996,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_976994]) ).
tff(c_977007,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_976996,c_968233]) ).
tff(c_977025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_977007]) ).
tff(c_977026,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_976994]) ).
tff(c_977071,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_977026]) ).
tff(c_977347,plain,
! [X_14408] :
( product(X_14408,e_2,e_2)
| ~ product(X_14408,e_4,e_2) ),
inference(resolution,[status(thm)],[c_977071,c_124]) ).
tff(c_977351,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_977071,c_977347]) ).
tff(c_977147,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_977071,c_120]) ).
tff(c_977362,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_977351,c_977147]) ).
tff(c_977428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_977362]) ).
tff(c_977429,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_977026]) ).
tff(c_977431,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_977429]) ).
tff(c_977436,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_977431,c_972440]) ).
tff(c_977461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_977436]) ).
tff(c_977462,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_977429]) ).
tff(c_961562,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_2,W_11,e_3) ),
inference(resolution,[status(thm)],[c_961368,c_120]) ).
tff(c_977476,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_977462,c_961562]) ).
tff(c_977519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_977476]) ).
tff(c_977521,plain,
product(e_4,e_4,e_6),
inference(splitRight,[status(thm)],[c_973072]) ).
tff(c_977650,plain,
! [X_14413] :
( product(X_14413,e_4,e_4)
| ~ product(X_14413,e_4,e_6) ),
inference(splitRight,[status(thm)],[c_973072]) ).
tff(c_977658,plain,
product(e_4,e_4,e_4),
inference(resolution,[status(thm)],[c_977521,c_977650]) ).
tff(c_977558,plain,
! [W_8] :
( equalish(W_8,e_6)
| ~ product(e_4,e_4,W_8) ),
inference(resolution,[status(thm)],[c_977521,c_118]) ).
tff(c_977664,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_977658,c_977558]) ).
tff(c_977689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_977664]) ).
tff(c_977690,plain,
( product(e_6,e_4,e_3)
| product(e_6,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_972341]) ).
tff(c_977692,plain,
product(e_6,e_4,e_2),
inference(splitLeft,[status(thm)],[c_977690]) ).
tff(c_977766,plain,
! [X_18] :
( product(X_18,e_6,e_2)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_977692,c_124]) ).
tff(c_977974,plain,
! [X_14417] :
( product(X_14417,e_6,e_2)
| ~ product(X_14417,e_4,e_6) ),
inference(resolution,[status(thm)],[c_977692,c_124]) ).
tff(c_978483,plain,
! [X_14424,X_14425] :
( product(X_14424,X_14425,e_2)
| ~ product(X_14424,e_6,X_14425)
| ~ product(X_14425,e_4,e_6) ),
inference(resolution,[status(thm)],[c_977974,c_124]) ).
tff(c_978525,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_4,e_6)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_977766,c_978483]) ).
tff(c_978562,plain,
~ product(e_2,e_4,e_6),
inference(splitLeft,[status(thm)],[c_978525]) ).
tff(c_978565,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_978562]) ).
tff(c_978568,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_978565]) ).
tff(c_981060,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_978568]) ).
tff(c_981244,plain,
! [X_14454] :
( product(X_14454,e_2,e_1)
| ~ product(X_14454,e_4,e_2) ),
inference(resolution,[status(thm)],[c_981060,c_124]) ).
tff(c_981248,plain,
product(e_6,e_2,e_1),
inference(resolution,[status(thm)],[c_977692,c_981244]) ).
tff(c_981289,plain,
( product(e_6,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_981248,c_1884]) ).
tff(c_981375,plain,
( product(e_6,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_981289]) ).
tff(c_981376,plain,
product(e_6,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_981375]) ).
tff(c_965981,plain,
! [W_14299,X_14300] :
( equalish(W_14299,X_14300)
| ~ product(W_14299,e_3,e_4)
| ~ product(X_14300,e_1,e_3) ),
inference(resolution,[status(thm)],[c_965908,c_122]) ).
tff(c_965987,plain,
! [X_14300] :
( equalish(e_2,X_14300)
| ~ product(X_14300,e_1,e_3) ),
inference(resolution,[status(thm)],[c_962784,c_965981]) ).
tff(c_981490,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_981376,c_965987]) ).
tff(c_981589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_981490]) ).
tff(c_981590,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_978568]) ).
tff(c_981592,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_981590]) ).
tff(c_981595,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_981592,c_968233]) ).
tff(c_981613,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_981595]) ).
tff(c_981614,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_981590]) ).
tff(c_981660,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_981614]) ).
tff(c_977768,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_2) ),
inference(resolution,[status(thm)],[c_977692,c_122]) ).
tff(c_981665,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_981660,c_977768]) ).
tff(c_981701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_981665]) ).
tff(c_981702,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_981614]) ).
tff(c_981711,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_981702]) ).
tff(c_965958,plain,
! [W_11,X_14296] :
( equalish(W_11,e_3)
| ~ product(X_14296,W_11,e_4)
| ~ product(X_14296,e_1,e_3) ),
inference(resolution,[status(thm)],[c_965908,c_120]) ).
tff(c_981713,plain,
( equalish(e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_981711,c_965958]) ).
tff(c_981733,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_961368,c_981713]) ).
tff(c_981735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_981733]) ).
tff(c_981736,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_981702]) ).
tff(c_981749,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_981736,c_961562]) ).
tff(c_981792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_981749]) ).
tff(c_981794,plain,
product(e_2,e_4,e_6),
inference(splitRight,[status(thm)],[c_978525]) ).
tff(c_982689,plain,
! [X_14467] :
( product(X_14467,e_2,e_6)
| ~ product(X_14467,e_4,e_2) ),
inference(resolution,[status(thm)],[c_981794,c_124]) ).
tff(c_982693,plain,
product(e_6,e_2,e_6),
inference(resolution,[status(thm)],[c_977692,c_982689]) ).
tff(c_955163,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_6,W_11,e_6) ),
inference(resolution,[status(thm)],[c_955133,c_120]) ).
tff(c_982723,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_982693,c_955163]) ).
tff(c_982792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_982723]) ).
tff(c_982793,plain,
product(e_6,e_4,e_3),
inference(splitRight,[status(thm)],[c_977690]) ).
tff(c_982832,plain,
product(e_6,e_3,e_5),
inference(resolution,[status(thm)],[c_982793,c_968231]) ).
tff(c_965957,plain,
! [X_18,X_14296] :
( product(X_18,X_14296,e_4)
| ~ product(X_18,e_3,X_14296)
| ~ product(X_14296,e_1,e_3) ),
inference(resolution,[status(thm)],[c_965908,c_124]) ).
tff(c_982906,plain,
( product(e_6,e_5,e_4)
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[c_982832,c_965957]) ).
tff(c_983678,plain,
~ product(e_5,e_1,e_3),
inference(splitLeft,[status(thm)],[c_982906]) ).
tff(c_982921,plain,
! [X_18] :
( product(X_18,e_6,e_5)
| ~ product(X_18,e_3,e_6) ),
inference(resolution,[status(thm)],[c_982832,c_124]) ).
tff(c_983494,plain,
! [X_14474] :
( product(X_14474,e_6,e_3)
| ~ product(X_14474,e_4,e_6) ),
inference(resolution,[status(thm)],[c_982793,c_124]) ).
tff(c_985074,plain,
! [X_14494,X_14495] :
( product(X_14494,X_14495,e_3)
| ~ product(X_14494,e_6,X_14495)
| ~ product(X_14495,e_4,e_6) ),
inference(resolution,[status(thm)],[c_983494,c_124]) ).
tff(c_985118,plain,
! [X_18] :
( product(X_18,e_5,e_3)
| ~ product(e_5,e_4,e_6)
| ~ product(X_18,e_3,e_6) ),
inference(resolution,[status(thm)],[c_982921,c_985074]) ).
tff(c_985236,plain,
~ product(e_5,e_4,e_6),
inference(splitLeft,[status(thm)],[c_985118]) ).
tff(c_985239,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_985236]) ).
tff(c_985242,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_50,c_985239]) ).
tff(c_987236,plain,
product(e_5,e_4,e_1),
inference(splitLeft,[status(thm)],[c_985242]) ).
tff(c_983508,plain,
( equalish(e_6,e_1)
| ~ product(e_2,e_4,e_6) ),
inference(resolution,[status(thm)],[c_983494,c_961562]) ).
tff(c_983555,plain,
~ product(e_2,e_4,e_6),
inference(negUnitSimplification,[status(thm)],[c_106,c_983508]) ).
tff(c_983604,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_983555]) ).
tff(c_983607,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_983604]) ).
tff(c_987044,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_983607]) ).
tff(c_987109,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_987044,c_122]) ).
tff(c_987239,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_987236,c_987109]) ).
tff(c_987267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_987239]) ).
tff(c_987268,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_985242]) ).
tff(c_987277,plain,
product(e_5,e_4,e_5),
inference(splitLeft,[status(thm)],[c_987268]) ).
tff(c_987282,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_987277,c_968233]) ).
tff(c_987302,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_987282]) ).
tff(c_987303,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_987268]) ).
tff(c_987348,plain,
product(e_5,e_4,e_2),
inference(splitLeft,[status(thm)],[c_987303]) ).
tff(c_987107,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_4,e_2) ),
inference(resolution,[status(thm)],[c_987044,c_124]) ).
tff(c_987382,plain,
product(e_5,e_2,e_1),
inference(resolution,[status(thm)],[c_987348,c_987107]) ).
tff(c_987470,plain,
( product(e_5,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_987382,c_1884]) ).
tff(c_987557,plain,
( product(e_5,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_987470]) ).
tff(c_987559,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_983678,c_987557]) ).
tff(c_987560,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_987303]) ).
tff(c_987562,plain,
product(e_5,e_4,e_4),
inference(splitLeft,[status(thm)],[c_987560]) ).
tff(c_987710,plain,
! [X_14534] :
( product(X_14534,e_5,e_4)
| ~ product(X_14534,e_4,e_5) ),
inference(resolution,[status(thm)],[c_987562,c_124]) ).
tff(c_965655,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_4) ),
inference(resolution,[status(thm)],[c_965470,c_120]) ).
tff(c_987720,plain,
( equalish(e_5,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[c_987710,c_965655]) ).
tff(c_987746,plain,
equalish(e_5,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_968205,c_987720]) ).
tff(c_987748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_987746]) ).
tff(c_987749,plain,
product(e_5,e_4,e_3),
inference(splitRight,[status(thm)],[c_987560]) ).
tff(c_982885,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_3) ),
inference(resolution,[status(thm)],[c_982793,c_122]) ).
tff(c_987755,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_987749,c_982885]) ).
tff(c_987798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_987755]) ).
tff(c_987799,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_983607]) ).
tff(c_987808,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_987799]) ).
tff(c_987813,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_987808,c_968233]) ).
tff(c_987833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_987813]) ).
tff(c_987834,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_987799]) ).
tff(c_987879,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_987834]) ).
tff(c_988154,plain,
! [X_14540] :
( product(X_14540,e_2,e_2)
| ~ product(X_14540,e_4,e_2) ),
inference(resolution,[status(thm)],[c_987879,c_124]) ).
tff(c_988158,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_987879,c_988154]) ).
tff(c_987955,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_987879,c_120]) ).
tff(c_988161,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_988158,c_987955]) ).
tff(c_988227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_988161]) ).
tff(c_988228,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_987834]) ).
tff(c_988230,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_988228]) ).
tff(c_988232,plain,
( equalish(e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_988230,c_965958]) ).
tff(c_988252,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_961368,c_988232]) ).
tff(c_988254,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_988252]) ).
tff(c_988255,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_988228]) ).
tff(c_988261,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_988255,c_982885]) ).
tff(c_988307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_988261]) ).
tff(c_988309,plain,
product(e_5,e_4,e_6),
inference(splitRight,[status(thm)],[c_985118]) ).
tff(c_982883,plain,
! [X_18] :
( product(X_18,e_6,e_3)
| ~ product(X_18,e_4,e_6) ),
inference(resolution,[status(thm)],[c_982793,c_124]) ).
tff(c_965960,plain,
! [W_8,X_14296] :
( equalish(W_8,e_4)
| ~ product(X_14296,e_3,W_8)
| ~ product(X_14296,e_1,e_3) ),
inference(resolution,[status(thm)],[c_965908,c_118]) ).
tff(c_982891,plain,
( equalish(e_5,e_4)
| ~ product(e_6,e_1,e_3) ),
inference(resolution,[status(thm)],[c_982832,c_965960]) ).
tff(c_982909,plain,
~ product(e_6,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_102,c_982891]) ).
tff(c_993524,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_983607]) ).
tff(c_955186,plain,
! [W_14024] :
( equalish(W_14024,e_6)
| ~ product(W_14024,e_6,e_6) ),
inference(resolution,[status(thm)],[c_955133,c_122]) ).
tff(c_955196,plain,
! [X_4] :
( equalish(X_4,e_6)
| product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_116,c_955186]) ).
tff(c_955202,plain,
! [X_4] :
( equalish(X_4,e_6)
| product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(X_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_955196]) ).
tff(c_968236,plain,
! [W_14313] :
( equalish(W_14313,e_4)
| ~ product(e_3,W_14313,e_5) ),
inference(resolution,[status(thm)],[c_968205,c_120]) ).
tff(c_968243,plain,
( equalish(e_6,e_4)
| equalish(e_3,e_6)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_955202,c_968236]) ).
tff(c_968282,plain,
( equalish(e_6,e_4)
| equalish(e_3,e_6)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_968243]) ).
tff(c_968283,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_84,c_112,c_968282]) ).
tff(c_989427,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_968283]) ).
tff(c_989668,plain,
! [X_14570] :
( product(X_14570,e_3,e_1)
| ~ product(X_14570,e_6,e_3) ),
inference(resolution,[status(thm)],[c_989427,c_124]) ).
tff(c_989673,plain,
! [X_14571] :
( product(X_14571,e_3,e_1)
| ~ product(X_14571,e_4,e_6) ),
inference(resolution,[status(thm)],[c_982883,c_989668]) ).
tff(c_989681,plain,
product(e_5,e_3,e_1),
inference(resolution,[status(thm)],[c_988309,c_989673]) ).
tff(c_989916,plain,
! [X_14576] :
( product(X_14576,e_5,e_1)
| ~ product(X_14576,e_3,e_5) ),
inference(resolution,[status(thm)],[c_989681,c_124]) ).
tff(c_988543,plain,
! [X_14545] :
( product(X_14545,e_5,e_6)
| ~ product(X_14545,e_4,e_5) ),
inference(resolution,[status(thm)],[c_988309,c_124]) ).
tff(c_988584,plain,
! [X_18,X_14545] :
( product(X_18,X_14545,e_6)
| ~ product(X_18,e_5,X_14545)
| ~ product(X_14545,e_4,e_5) ),
inference(resolution,[status(thm)],[c_988543,c_124]) ).
tff(c_989965,plain,
! [X_14576] :
( product(X_14576,e_1,e_6)
| ~ product(e_1,e_4,e_5)
| ~ product(X_14576,e_3,e_5) ),
inference(resolution,[status(thm)],[c_989916,c_988584]) ).
tff(c_990315,plain,
~ product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_989965]) ).
tff(c_993544,plain,
( product(e_2,e_1,e_6)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_993524,c_219]) ).
tff(c_993590,plain,
( product(e_2,e_1,e_6)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_993544]) ).
tff(c_993591,plain,
( product(e_2,e_1,e_6)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_990315,c_993590]) ).
tff(c_993862,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_993591]) ).
tff(c_993598,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_993524,c_122]) ).
tff(c_993865,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_993862,c_993598]) ).
tff(c_993899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_993865]) ).
tff(c_993900,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_2,e_1,e_6) ),
inference(splitRight,[status(thm)],[c_993591]) ).
tff(c_993910,plain,
product(e_2,e_1,e_6),
inference(splitLeft,[status(thm)],[c_993900]) ).
tff(c_961566,plain,
! [W_8] :
( equalish(W_8,e_3)
| ~ product(e_2,e_1,W_8) ),
inference(resolution,[status(thm)],[c_961368,c_118]) ).
tff(c_993927,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_993910,c_961566]) ).
tff(c_994028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_993927]) ).
tff(c_994029,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_993900]) ).
tff(c_994038,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_994029]) ).
tff(c_994175,plain,
( equalish(e_4,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_994038,c_1792]) ).
tff(c_994223,plain,
( equalish(e_4,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_994175]) ).
tff(c_994225,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_86,c_994223]) ).
tff(c_994226,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_994029]) ).
tff(c_994228,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_994226]) ).
tff(c_994377,plain,
! [X_14664] :
( product(X_14664,e_1,e_4)
| ~ product(X_14664,e_4,e_1) ),
inference(resolution,[status(thm)],[c_994228,c_124]) ).
tff(c_994381,plain,
product(e_2,e_1,e_4),
inference(resolution,[status(thm)],[c_993524,c_994377]) ).
tff(c_994843,plain,
( equalish(e_1,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_994381,c_965958]) ).
tff(c_994934,plain,
equalish(e_1,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_961368,c_994843]) ).
tff(c_994936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_994934]) ).
tff(c_994937,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_994226]) ).
tff(c_994945,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_994937,c_982885]) ).
tff(c_994990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_994945]) ).
tff(c_994991,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_983607]) ).
tff(c_995008,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_994991]) ).
tff(c_988347,plain,
! [X_18] :
( product(X_18,e_5,e_6)
| ~ product(X_18,e_4,e_5) ),
inference(resolution,[status(thm)],[c_988309,c_124]) ).
tff(c_990353,plain,
! [X_14585,X_14586] :
( product(X_14585,X_14586,e_1)
| ~ product(X_14585,e_5,X_14586)
| ~ product(X_14586,e_3,e_5) ),
inference(resolution,[status(thm)],[c_989916,c_124]) ).
tff(c_990359,plain,
! [X_18] :
( product(X_18,e_6,e_1)
| ~ product(e_6,e_3,e_5)
| ~ product(X_18,e_4,e_5) ),
inference(resolution,[status(thm)],[c_988347,c_990353]) ).
tff(c_990433,plain,
! [X_14587] :
( product(X_14587,e_6,e_1)
| ~ product(X_14587,e_4,e_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_982832,c_990359]) ).
tff(c_990598,plain,
! [W_14591,X_14592] :
( equalish(W_14591,X_14592)
| ~ product(W_14591,e_6,e_1)
| ~ product(X_14592,e_4,e_5) ),
inference(resolution,[status(thm)],[c_990433,c_122]) ).
tff(c_990604,plain,
! [X_14592] :
( equalish(e_3,X_14592)
| ~ product(X_14592,e_4,e_5) ),
inference(resolution,[status(thm)],[c_989427,c_990598]) ).
tff(c_995013,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_995008,c_990604]) ).
tff(c_995045,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_995013]) ).
tff(c_995046,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_994991]) ).
tff(c_995091,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_995046]) ).
tff(c_995482,plain,
! [X_14675] :
( product(X_14675,e_2,e_2)
| ~ product(X_14675,e_4,e_2) ),
inference(resolution,[status(thm)],[c_995091,c_124]) ).
tff(c_995486,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_995091,c_995482]) ).
tff(c_995283,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_995091,c_120]) ).
tff(c_995489,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_995486,c_995283]) ).
tff(c_995555,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_995489]) ).
tff(c_995556,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_995046]) ).
tff(c_995558,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_995556]) ).
tff(c_995560,plain,
( equalish(e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_995558,c_965958]) ).
tff(c_995580,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_961368,c_995560]) ).
tff(c_995582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_995580]) ).
tff(c_995583,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_995556]) ).
tff(c_995707,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_995583,c_982885]) ).
tff(c_995755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_995707]) ).
tff(c_995757,plain,
product(e_1,e_4,e_5),
inference(splitRight,[status(thm)],[c_989965]) ).
tff(c_995768,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_995757,c_968233]) ).
tff(c_995790,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_995768]) ).
tff(c_995791,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_968283]) ).
tff(c_995875,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_995791]) ).
tff(c_995891,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_995875,c_965655]) ).
tff(c_995918,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_995891]) ).
tff(c_995919,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_995791]) ).
tff(c_995921,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_995919]) ).
tff(c_996240,plain,
! [X_14683] :
( product(X_14683,e_3,e_2)
| ~ product(X_14683,e_6,e_3) ),
inference(resolution,[status(thm)],[c_995921,c_124]) ).
tff(c_996246,plain,
! [X_14684] :
( product(X_14684,e_3,e_2)
| ~ product(X_14684,e_4,e_6) ),
inference(resolution,[status(thm)],[c_982883,c_996240]) ).
tff(c_996254,plain,
product(e_5,e_3,e_2),
inference(resolution,[status(thm)],[c_988309,c_996246]) ).
tff(c_996259,plain,
( product(e_5,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_996254,c_965957]) ).
tff(c_996298,plain,
product(e_5,e_2,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_961368,c_996259]) ).
tff(c_996461,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_996298,c_124]) ).
tff(c_996853,plain,
! [X_14691] :
( product(X_14691,e_5,e_2)
| ~ product(X_14691,e_3,e_5) ),
inference(resolution,[status(thm)],[c_996254,c_124]) ).
tff(c_997604,plain,
! [W_14700,X_14701] :
( equalish(W_14700,e_2)
| ~ product(X_14701,e_5,W_14700)
| ~ product(X_14701,e_3,e_5) ),
inference(resolution,[status(thm)],[c_996853,c_118]) ).
tff(c_997607,plain,
! [X_18] :
( equalish(e_4,e_2)
| ~ product(X_18,e_3,e_5)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_996461,c_997604]) ).
tff(c_997714,plain,
! [X_14702] :
( ~ product(X_14702,e_3,e_5)
| ~ product(X_14702,e_2,e_5) ),
inference(negUnitSimplification,[status(thm)],[c_88,c_997607]) ).
tff(c_997756,plain,
~ product(e_6,e_2,e_5),
inference(resolution,[status(thm)],[c_982832,c_997714]) ).
tff(c_997791,plain,
( equalish(e_6,e_2)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_955161,c_997756]) ).
tff(c_997820,plain,
( equalish(e_6,e_2)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_997791]) ).
tff(c_997821,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_997820]) ).
tff(c_1001253,plain,
product(e_6,e_2,e_1),
inference(splitLeft,[status(thm)],[c_997821]) ).
tff(c_1001296,plain,
( product(e_6,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1001253,c_1884]) ).
tff(c_1001387,plain,
( product(e_6,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1001296]) ).
tff(c_1001389,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_982909,c_1001387]) ).
tff(c_1001391,plain,
~ product(e_6,e_2,e_1),
inference(splitRight,[status(thm)],[c_997821]) ).
tff(c_955166,plain,
! [W_14023] :
( equalish(W_14023,e_6)
| ~ product(e_6,W_14023,e_6) ),
inference(resolution,[status(thm)],[c_955133,c_120]) ).
tff(c_955177,plain,
! [Y_5] :
( equalish(Y_5,e_6)
| product(e_6,Y_5,e_5)
| product(e_6,Y_5,e_4)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(Y_5)
| ~ group_element(e_6) ),
inference(resolution,[status(thm)],[c_116,c_955166]) ).
tff(c_955185,plain,
! [Y_5] :
( equalish(Y_5,e_6)
| product(e_6,Y_5,e_5)
| product(e_6,Y_5,e_4)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(Y_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_955177]) ).
tff(c_997788,plain,
( equalish(e_2,e_6)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_955185,c_997756]) ).
tff(c_997816,plain,
( equalish(e_2,e_6)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_997788]) ).
tff(c_997817,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_74,c_997816]) ).
tff(c_1001392,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_1001391,c_997817]) ).
tff(c_1001393,plain,
product(e_6,e_2,e_2),
inference(splitLeft,[status(thm)],[c_1001392]) ).
tff(c_997623,plain,
( equalish(e_5,e_2)
| ~ product(e_6,e_3,e_5)
| equalish(e_5,e_6)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_955185,c_997604]) ).
tff(c_997676,plain,
( equalish(e_5,e_2)
| equalish(e_5,e_6)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_982832,c_997623]) ).
tff(c_997677,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_104,c_98,c_997676]) ).
tff(c_999189,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_997677]) ).
tff(c_996953,plain,
! [W_8,X_14691] :
( equalish(W_8,e_2)
| ~ product(X_14691,e_5,W_8)
| ~ product(X_14691,e_3,e_5) ),
inference(resolution,[status(thm)],[c_996853,c_118]) ).
tff(c_999199,plain,
( equalish(e_1,e_2)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_999189,c_996953]) ).
tff(c_999242,plain,
equalish(e_1,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_982832,c_999199]) ).
tff(c_999244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_999242]) ).
tff(c_999246,plain,
~ product(e_6,e_5,e_1),
inference(splitRight,[status(thm)],[c_997677]) ).
tff(c_999245,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_997677]) ).
tff(c_999358,plain,
product(e_6,e_5,e_4),
inference(splitLeft,[status(thm)],[c_999245]) ).
tff(c_999372,plain,
( equalish(e_4,e_2)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_999358,c_996953]) ).
tff(c_999410,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_982832,c_999372]) ).
tff(c_999412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_999410]) ).
tff(c_999414,plain,
~ product(e_6,e_5,e_4),
inference(splitRight,[status(thm)],[c_999245]) ).
tff(c_997627,plain,
( equalish(e_5,e_2)
| ~ product(e_6,e_3,e_5)
| equalish(e_6,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_955161,c_997604]) ).
tff(c_997680,plain,
( equalish(e_5,e_2)
| equalish(e_6,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_982832,c_997627]) ).
tff(c_997681,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_98,c_997680]) ).
tff(c_999419,plain,
( product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_999246,c_999414,c_997681]) ).
tff(c_999420,plain,
product(e_6,e_5,e_2),
inference(splitLeft,[status(thm)],[c_999419]) ).
tff(c_999540,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_2) ),
inference(resolution,[status(thm)],[c_999420,c_120]) ).
tff(c_1001400,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_1001393,c_999540]) ).
tff(c_1001476,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_1001400]) ).
tff(c_1001477,plain,
( product(e_6,e_2,e_3)
| product(e_6,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_1001392]) ).
tff(c_1001479,plain,
product(e_6,e_2,e_4),
inference(splitLeft,[status(thm)],[c_1001477]) ).
tff(c_996463,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_4) ),
inference(resolution,[status(thm)],[c_996298,c_122]) ).
tff(c_1001486,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_1001479,c_996463]) ).
tff(c_1001544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_1001486]) ).
tff(c_1001545,plain,
product(e_6,e_2,e_3),
inference(splitRight,[status(thm)],[c_1001477]) ).
tff(c_982884,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_6,W_11,e_3) ),
inference(resolution,[status(thm)],[c_982793,c_120]) ).
tff(c_1001614,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_1001545,c_982884]) ).
tff(c_1001712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_1001614]) ).
tff(c_1001713,plain,
product(e_6,e_5,e_3),
inference(splitRight,[status(thm)],[c_999419]) ).
tff(c_1001724,plain,
( equalish(e_3,e_2)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1001713,c_996953]) ).
tff(c_1001784,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_982832,c_1001724]) ).
tff(c_1001786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1001784]) ).
tff(c_1001787,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_995919]) ).
tff(c_1002142,plain,
! [W_14778] :
( equalish(W_14778,e_3)
| ~ product(W_14778,e_6,e_3) ),
inference(resolution,[status(thm)],[c_1001787,c_122]) ).
tff(c_1002152,plain,
! [X_14779] :
( equalish(X_14779,e_3)
| ~ product(X_14779,e_4,e_6) ),
inference(resolution,[status(thm)],[c_982883,c_1002142]) ).
tff(c_1002155,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_988309,c_1002152]) ).
tff(c_1002163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_1002155]) ).
tff(c_1002165,plain,
product(e_5,e_1,e_3),
inference(splitRight,[status(thm)],[c_982906]) ).
tff(c_1002434,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_1002165,c_965987]) ).
tff(c_1002533,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_1002434]) ).
tff(c_1002534,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_968167]) ).
tff(c_1002749,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_1002534]) ).
tff(c_1793,plain,
! [W_14,X_136] :
( equalish(W_14,X_136)
| ~ product(W_14,e_1,e_2)
| ~ next(X_136,e_2)
| product(X_136,e_1,e_1)
| ~ group_element(X_136) ),
inference(resolution,[status(thm)],[c_1732,c_122]) ).
tff(c_1004534,plain,
! [X_14805] :
( equalish(e_4,X_14805)
| ~ next(X_14805,e_2)
| product(X_14805,e_1,e_1)
| ~ group_element(X_14805) ),
inference(resolution,[status(thm)],[c_1002749,c_1793]) ).
tff(c_1004623,plain,
( equalish(e_4,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1004534,c_952984]) ).
tff(c_1004745,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1004623]) ).
tff(c_1004747,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_1004745]) ).
tff(c_1004748,plain,
product(e_4,e_1,e_4),
inference(splitRight,[status(thm)],[c_1002534]) ).
tff(c_1004892,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_1004748,c_965656]) ).
tff(c_1004977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_1004892]) ).
tff(c_1004978,plain,
product(e_2,e_4,e_4),
inference(splitRight,[status(thm)],[c_966130]) ).
tff(c_1004981,plain,
( equalish(e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1004978,c_965958]) ).
tff(c_1005001,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_961368,c_1004981]) ).
tff(c_1005003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_1005001]) ).
tff(c_1005005,plain,
~ product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_965462]) ).
tff(c_1005008,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_1005005]) ).
tff(c_1005011,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1005008]) ).
tff(c_1005013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_962706,c_962297,c_965240,c_1005011]) ).
tff(c_1005014,plain,
product(e_3,e_1,e_3),
inference(splitRight,[status(thm)],[c_962705]) ).
tff(c_1005020,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_1005014,c_961564]) ).
tff(c_1005102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1005020]) ).
tff(c_1005104,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_962255]) ).
tff(c_1005172,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1005104,c_311]) ).
tff(c_1005286,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1005172]) ).
tff(c_1005287,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1005286]) ).
tff(c_961985,plain,
! [X_18,X_14234] :
( product(X_18,X_14234,e_3)
| ~ product(X_18,e_2,X_14234)
| ~ product(X_14234,e_1,e_2) ),
inference(resolution,[status(thm)],[c_961871,c_124]) ).
tff(c_1005302,plain,
( product(e_3,e_3,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c_1005287,c_961985]) ).
tff(c_1005371,plain,
product(e_3,e_3,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_1005104,c_1005302]) ).
tff(c_1005516,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c_1005371,c_961986]) ).
tff(c_1005547,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1005104,c_1005516]) ).
tff(c_1005549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1005547]) ).
tff(c_1005551,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_1770]) ).
tff(c_1005554,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_1005551]) ).
tff(c_1005557,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1005554]) ).
tff(c_1005559,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1005557]) ).
tff(c_1005560,plain,
! [Y_5] :
( product(e_6,Y_5,e_4)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(Y_5)
| product(e_6,Y_5,e_5) ),
inference(splitRight,[status(thm)],[c_953089]) ).
tff(c_1005561,plain,
~ product(e_6,e_6,e_6),
inference(splitRight,[status(thm)],[c_953089]) ).
tff(c_1005567,plain,
( product(e_6,e_6,e_5)
| product(e_6,e_6,e_4)
| product(e_6,e_6,e_3)
| product(e_6,e_6,e_2)
| product(e_6,e_6,e_1)
| ~ group_element(e_6) ),
inference(resolution,[status(thm)],[c_116,c_1005561]) ).
tff(c_1005573,plain,
( product(e_6,e_6,e_5)
| product(e_6,e_6,e_4)
| product(e_6,e_6,e_3)
| product(e_6,e_6,e_2)
| product(e_6,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_1005567]) ).
tff(c_1005671,plain,
product(e_6,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1005573]) ).
tff(c_1005673,plain,
( product(e_6,e_1,e_6)
| product(e_1,e_6,e_5)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1005671,c_219]) ).
tff(c_1005686,plain,
( product(e_6,e_1,e_6)
| product(e_1,e_6,e_5)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_54,c_1005673]) ).
tff(c_1007614,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1005686]) ).
tff(c_1005693,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_1005671,c_122]) ).
tff(c_1007617,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1007614,c_1005693]) ).
tff(c_1007633,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1007617]) ).
tff(c_1007634,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_5)
| product(e_6,e_1,e_6) ),
inference(splitRight,[status(thm)],[c_1005686]) ).
tff(c_1007773,plain,
product(e_6,e_1,e_6),
inference(splitLeft,[status(thm)],[c_1007634]) ).
tff(c_1008146,plain,
! [X_14853] :
( product(X_14853,e_6,e_6)
| ~ product(X_14853,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1007773,c_124]) ).
tff(c_1007855,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_6,W_11,e_6) ),
inference(resolution,[status(thm)],[c_1007773,c_120]) ).
tff(c_1008150,plain,
( equalish(e_6,e_1)
| ~ product(e_6,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1008146,c_1007855]) ).
tff(c_1008179,plain,
equalish(e_6,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1007773,c_1008150]) ).
tff(c_1008181,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_1008179]) ).
tff(c_1008182,plain,
( product(e_1,e_6,e_5)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1007634]) ).
tff(c_1008221,plain,
product(e_1,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1008182]) ).
tff(c_1008223,plain,
( equalish(e_6,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1008221,c_1792]) ).
tff(c_1008238,plain,
( equalish(e_6,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1008223]) ).
tff(c_1008240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_106,c_1008238]) ).
tff(c_1008241,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_5) ),
inference(splitRight,[status(thm)],[c_1008182]) ).
tff(c_1008243,plain,
product(e_1,e_6,e_5),
inference(splitLeft,[status(thm)],[c_1008241]) ).
tff(c_1008460,plain,
! [X_14860] :
( product(X_14860,e_1,e_5)
| ~ product(X_14860,e_6,e_1) ),
inference(resolution,[status(thm)],[c_1008243,c_124]) ).
tff(c_1008464,plain,
product(e_6,e_1,e_5),
inference(resolution,[status(thm)],[c_1005671,c_1008460]) ).
tff(c_1008870,plain,
! [X_14864] :
( product(X_14864,e_6,e_5)
| ~ product(X_14864,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1008464,c_124]) ).
tff(c_1009239,plain,
! [X_14875,X_14876] :
( product(X_14875,X_14876,e_5)
| ~ product(X_14875,e_6,X_14876)
| ~ product(X_14876,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1008870,c_124]) ).
tff(c_1009273,plain,
( product(e_1,e_5,e_5)
| ~ product(e_5,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1008243,c_1009239]) ).
tff(c_1009301,plain,
~ product(e_5,e_1,e_6),
inference(splitLeft,[status(thm)],[c_1009273]) ).
tff(c_1009304,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_1009301]) ).
tff(c_1009307,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_44,c_1009304]) ).
tff(c_1009359,plain,
product(e_5,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1009307]) ).
tff(c_1009369,plain,
( product(e_5,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1009359,c_1790]) ).
tff(c_1009404,plain,
( product(e_5,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1009369]) ).
tff(c_1009405,plain,
product(e_5,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1009404]) ).
tff(c_1009603,plain,
! [W_14880] :
( equalish(W_14880,e_1)
| ~ product(e_5,e_1,W_14880) ),
inference(resolution,[status(thm)],[c_1009359,c_118]) ).
tff(c_1009606,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_1009405,c_1009603]) ).
tff(c_1009713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1009606]) ).
tff(c_1009714,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(splitRight,[status(thm)],[c_1009307]) ).
tff(c_1009752,plain,
product(e_5,e_1,e_5),
inference(splitLeft,[status(thm)],[c_1009714]) ).
tff(c_1008534,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_5) ),
inference(resolution,[status(thm)],[c_1008464,c_122]) ).
tff(c_1009761,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_1009752,c_1008534]) ).
tff(c_1009811,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1009761]) ).
tff(c_1009812,plain,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_1009714]) ).
tff(c_1009863,plain,
product(e_5,e_1,e_2),
inference(splitLeft,[status(thm)],[c_1009812]) ).
tff(c_1011171,plain,
! [X_14907] :
( equalish(e_5,X_14907)
| ~ next(X_14907,e_2)
| product(X_14907,e_1,e_1)
| ~ group_element(X_14907) ),
inference(resolution,[status(thm)],[c_1009863,c_1793]) ).
tff(c_1011199,plain,
( equalish(e_5,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1011171,c_952984]) ).
tff(c_1011250,plain,
equalish(e_5,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1011199]) ).
tff(c_1011252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_1011250]) ).
tff(c_1011253,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_1009812]) ).
tff(c_1011310,plain,
product(e_5,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1011253]) ).
tff(c_1011388,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_1,e_5) ),
inference(resolution,[status(thm)],[c_1011310,c_124]) ).
tff(c_1011625,plain,
! [X_14911] :
( product(X_14911,e_5,e_4)
| ~ product(X_14911,e_1,e_5) ),
inference(resolution,[status(thm)],[c_1011310,c_124]) ).
tff(c_1011747,plain,
! [X_14918,X_14919] :
( product(X_14918,X_14919,e_4)
| ~ product(X_14918,e_5,X_14919)
| ~ product(X_14919,e_1,e_5) ),
inference(resolution,[status(thm)],[c_1011625,c_124]) ).
tff(c_1011774,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_1,e_5)
| ~ product(X_18,e_1,e_5) ),
inference(resolution,[status(thm)],[c_1011388,c_1011747]) ).
tff(c_1011799,plain,
~ product(e_4,e_1,e_5),
inference(splitLeft,[status(thm)],[c_1011774]) ).
tff(c_1011893,plain,
( ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_236,c_1011799]) ).
tff(c_1011914,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_1011893]) ).
tff(c_1012441,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1011914]) ).
tff(c_1012451,plain,
( product(e_4,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1012441,c_1790]) ).
tff(c_1012486,plain,
( product(e_4,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1012451]) ).
tff(c_1012487,plain,
product(e_4,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1012486]) ).
tff(c_1012685,plain,
! [W_14937] :
( equalish(W_14937,e_1)
| ~ product(e_4,e_1,W_14937) ),
inference(resolution,[status(thm)],[c_1012441,c_118]) ).
tff(c_1012688,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_1012487,c_1012685]) ).
tff(c_1012795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1012688]) ).
tff(c_1012796,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_1011914]) ).
tff(c_1012834,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1012796]) ).
tff(c_1011391,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1011310,c_122]) ).
tff(c_1012841,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_1012834,c_1011391]) ).
tff(c_1012888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_1012841]) ).
tff(c_1012889,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_1012796]) ).
tff(c_1012898,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_1012889]) ).
tff(c_1013924,plain,
! [X_14959] :
( equalish(e_4,X_14959)
| ~ next(X_14959,e_2)
| product(X_14959,e_1,e_1)
| ~ group_element(X_14959) ),
inference(resolution,[status(thm)],[c_1012898,c_1793]) ).
tff(c_1013957,plain,
( equalish(e_4,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1013924,c_952984]) ).
tff(c_1014014,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1013957]) ).
tff(c_1014016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_1014014]) ).
tff(c_1014017,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_1012889]) ).
tff(c_1014154,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1014017,c_124]) ).
tff(c_1014511,plain,
! [X_14965] :
( product(X_14965,e_4,e_3)
| ~ product(X_14965,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1014017,c_124]) ).
tff(c_1014674,plain,
! [X_14972,X_14973] :
( product(X_14972,X_14973,e_3)
| ~ product(X_14972,e_4,X_14973)
| ~ product(X_14973,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1014511,c_124]) ).
tff(c_1014701,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1014154,c_1014674]) ).
tff(c_1014726,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1014701]) ).
tff(c_1014729,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_1014726]) ).
tff(c_1014732,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1014729]) ).
tff(c_1014733,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1014732]) ).
tff(c_1014743,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1014733,c_1790]) ).
tff(c_1014778,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1014743]) ).
tff(c_1014779,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1014778]) ).
tff(c_1014981,plain,
! [W_14975] :
( equalish(W_14975,e_1)
| ~ product(e_3,e_1,W_14975) ),
inference(resolution,[status(thm)],[c_1014733,c_118]) ).
tff(c_1014984,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_1014779,c_1014981]) ).
tff(c_1015091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1014984]) ).
tff(c_1015092,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_1014732]) ).
tff(c_1015130,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1015092]) ).
tff(c_1014157,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1014017,c_122]) ).
tff(c_1015135,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_1015130,c_1014157]) ).
tff(c_1015179,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_1015135]) ).
tff(c_1015180,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1015092]) ).
tff(c_1015206,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1015180,c_311]) ).
tff(c_1015253,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1015206]) ).
tff(c_1015254,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1015253]) ).
tff(c_1015920,plain,
! [X_14983] :
( product(X_14983,e_3,e_3)
| ~ product(X_14983,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1015254,c_124]) ).
tff(c_1015390,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1015254,c_120]) ).
tff(c_1015924,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1015920,c_1015390]) ).
tff(c_1015949,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1015254,c_1015924]) ).
tff(c_1015951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1015949]) ).
tff(c_1015953,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_1014701]) ).
tff(c_1015960,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_1015953,c_1011391]) ).
tff(c_1016009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_1015960]) ).
tff(c_1016011,plain,
product(e_4,e_1,e_5),
inference(splitRight,[status(thm)],[c_1011774]) ).
tff(c_1016020,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1016011,c_1008534]) ).
tff(c_1016069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1016020]) ).
tff(c_1016070,plain,
product(e_5,e_1,e_3),
inference(splitRight,[status(thm)],[c_1011253]) ).
tff(c_1017464,plain,
! [X_15012] :
( equalish(e_5,X_15012)
| ~ next(X_15012,e_3)
| product(X_15012,e_1,e_2)
| product(X_15012,e_1,e_1)
| ~ group_element(X_15012) ),
inference(resolution,[status(thm)],[c_1016070,c_314]) ).
tff(c_1017492,plain,
( equalish(e_5,e_2)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1017464,c_1484]) ).
tff(c_1017541,plain,
( equalish(e_5,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1017492]) ).
tff(c_1017543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_98,c_1017541]) ).
tff(c_1017544,plain,
product(e_1,e_5,e_5),
inference(splitRight,[status(thm)],[c_1009273]) ).
tff(c_1008264,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_1,W_11,e_5) ),
inference(resolution,[status(thm)],[c_1008243,c_120]) ).
tff(c_1017550,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_1017544,c_1008264]) ).
tff(c_1017569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1017550]) ).
tff(c_1017570,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_1008241]) ).
tff(c_1017640,plain,
product(e_1,e_6,e_3),
inference(splitLeft,[status(thm)],[c_1017570]) ).
tff(c_1017642,plain,
( equalish(e_6,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1017640,c_1885]) ).
tff(c_1017659,plain,
( equalish(e_6,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1017642]) ).
tff(c_1017661,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_108,c_1017659]) ).
tff(c_1017662,plain,
product(e_1,e_6,e_4),
inference(splitRight,[status(thm)],[c_1017570]) ).
tff(c_1017829,plain,
! [X_15021] :
( product(X_15021,e_1,e_4)
| ~ product(X_15021,e_6,e_1) ),
inference(resolution,[status(thm)],[c_1017662,c_124]) ).
tff(c_1017833,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_1005671,c_1017829]) ).
tff(c_1018148,plain,
! [X_15025] :
( product(X_15025,e_6,e_4)
| ~ product(X_15025,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1017833,c_124]) ).
tff(c_1018332,plain,
! [X_15034,X_15035] :
( product(X_15034,X_15035,e_4)
| ~ product(X_15034,e_6,X_15035)
| ~ product(X_15035,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1018148,c_124]) ).
tff(c_1018366,plain,
( product(e_1,e_4,e_4)
| ~ product(e_4,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1017662,c_1018332]) ).
tff(c_1018394,plain,
~ product(e_4,e_1,e_6),
inference(splitLeft,[status(thm)],[c_1018366]) ).
tff(c_1018397,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_1018394]) ).
tff(c_1018400,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_44,c_1018397]) ).
tff(c_1018606,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1018400]) ).
tff(c_1018616,plain,
( product(e_4,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1018606,c_1790]) ).
tff(c_1018648,plain,
( product(e_4,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1018616]) ).
tff(c_1018649,plain,
product(e_4,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1018648]) ).
tff(c_1018994,plain,
! [W_15043] :
( equalish(W_15043,e_1)
| ~ product(e_4,e_1,W_15043) ),
inference(resolution,[status(thm)],[c_1018606,c_118]) ).
tff(c_1018997,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_1018649,c_1018994]) ).
tff(c_1019112,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1018997]) ).
tff(c_1019113,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(splitRight,[status(thm)],[c_1018400]) ).
tff(c_1019294,plain,
product(e_4,e_1,e_5),
inference(splitLeft,[status(thm)],[c_1019113]) ).
tff(c_1019722,plain,
! [X_15049] :
( product(X_15049,e_4,e_5)
| ~ product(X_15049,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1019294,c_124]) ).
tff(c_1019371,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_5) ),
inference(resolution,[status(thm)],[c_1019294,c_120]) ).
tff(c_1019726,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1019722,c_1019371]) ).
tff(c_1019741,plain,
~ product(e_4,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_86,c_1019726]) ).
tff(c_1005777,plain,
! [X_14813] :
( product(X_14813,e_6,e_1)
| ~ product(X_14813,e_6,e_6) ),
inference(resolution,[status(thm)],[c_1005671,c_124]) ).
tff(c_1005781,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_116,c_1005777]) ).
tff(c_1005784,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(X_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_1005781]) ).
tff(c_1019377,plain,
! [W_15046] :
( equalish(W_15046,e_1)
| ~ product(e_4,W_15046,e_5) ),
inference(resolution,[status(thm)],[c_1019294,c_120]) ).
tff(c_1019384,plain,
( equalish(e_6,e_1)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_1005784,c_1019377]) ).
tff(c_1019417,plain,
( equalish(e_6,e_1)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_1019384]) ).
tff(c_1019418,plain,
( product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_1019417]) ).
tff(c_1019975,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1019418]) ).
tff(c_1017689,plain,
! [X_18] :
( product(X_18,e_1,e_4)
| ~ product(X_18,e_6,e_1) ),
inference(resolution,[status(thm)],[c_1017662,c_124]) ).
tff(c_1020063,plain,
product(e_4,e_1,e_4),
inference(resolution,[status(thm)],[c_1019975,c_1017689]) ).
tff(c_1020089,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1019741,c_1020063]) ).
tff(c_1020090,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_1019418]) ).
tff(c_1020092,plain,
product(e_4,e_6,e_4),
inference(splitLeft,[status(thm)],[c_1020090]) ).
tff(c_1017691,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_6,e_4) ),
inference(resolution,[status(thm)],[c_1017662,c_122]) ).
tff(c_1020104,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_1020092,c_1017691]) ).
tff(c_1020128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_1020104]) ).
tff(c_1020129,plain,
( product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1020090]) ).
tff(c_1020135,plain,
product(e_4,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1020129]) ).
tff(c_1020333,plain,
! [X_15062] :
( product(X_15062,e_4,e_2)
| ~ product(X_15062,e_6,e_4) ),
inference(resolution,[status(thm)],[c_1020135,c_124]) ).
tff(c_1020341,plain,
product(e_1,e_4,e_2),
inference(resolution,[status(thm)],[c_1017662,c_1020333]) ).
tff(c_1020348,plain,
( equalish(e_4,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1020341,c_1792]) ).
tff(c_1020367,plain,
( equalish(e_4,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1020348]) ).
tff(c_1020369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_86,c_1020367]) ).
tff(c_1020370,plain,
product(e_4,e_6,e_3),
inference(splitRight,[status(thm)],[c_1020129]) ).
tff(c_1020649,plain,
! [X_15068] :
( product(X_15068,e_4,e_3)
| ~ product(X_15068,e_6,e_4) ),
inference(resolution,[status(thm)],[c_1020370,c_124]) ).
tff(c_1020657,plain,
product(e_1,e_4,e_3),
inference(resolution,[status(thm)],[c_1017662,c_1020649]) ).
tff(c_1020666,plain,
( equalish(e_4,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1020657,c_1885]) ).
tff(c_1020691,plain,
( equalish(e_4,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1020666]) ).
tff(c_1020693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_88,c_1020691]) ).
tff(c_1020694,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_1019113]) ).
tff(c_1020745,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_1020694]) ).
tff(c_1021864,plain,
! [X_15092] :
( equalish(e_4,X_15092)
| ~ next(X_15092,e_2)
| product(X_15092,e_1,e_1)
| ~ group_element(X_15092) ),
inference(resolution,[status(thm)],[c_1020745,c_1793]) ).
tff(c_1021892,plain,
( equalish(e_4,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1021864,c_952984]) ).
tff(c_1021942,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1021892]) ).
tff(c_1021944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_1021942]) ).
tff(c_1021945,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_1020694]) ).
tff(c_1022002,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1021945]) ).
tff(c_1017906,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1017833,c_122]) ).
tff(c_1022019,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1022002,c_1017906]) ).
tff(c_1022066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1022019]) ).
tff(c_1022067,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_1021945]) ).
tff(c_1022162,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1022067,c_124]) ).
tff(c_1022511,plain,
! [X_15098] :
( product(X_15098,e_4,e_3)
| ~ product(X_15098,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1022067,c_124]) ).
tff(c_1022688,plain,
! [X_15105,X_15106] :
( product(X_15105,X_15106,e_3)
| ~ product(X_15105,e_4,X_15106)
| ~ product(X_15106,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1022511,c_124]) ).
tff(c_1022715,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1022162,c_1022688]) ).
tff(c_1022740,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1022715]) ).
tff(c_1022743,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_1022740]) ).
tff(c_1022746,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1022743]) ).
tff(c_1022747,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1022746]) ).
tff(c_1022790,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1022747,c_1790]) ).
tff(c_1022826,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1022790]) ).
tff(c_1022827,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1022826]) ).
tff(c_1023098,plain,
! [W_15111] :
( equalish(W_15111,e_1)
| ~ product(e_3,e_1,W_15111) ),
inference(resolution,[status(thm)],[c_1022747,c_118]) ).
tff(c_1023101,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_1022827,c_1023098]) ).
tff(c_1023216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1023101]) ).
tff(c_1023217,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_1022746]) ).
tff(c_1023255,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1023217]) ).
tff(c_1022165,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1022067,c_122]) ).
tff(c_1023260,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_1023255,c_1022165]) ).
tff(c_1023306,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_1023260]) ).
tff(c_1023307,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1023217]) ).
tff(c_1023347,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1023307,c_311]) ).
tff(c_1023394,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1023347]) ).
tff(c_1023395,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1023394]) ).
tff(c_1024248,plain,
! [X_15121] :
( product(X_15121,e_3,e_3)
| ~ product(X_15121,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1023395,c_124]) ).
tff(c_1023830,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1023395,c_120]) ).
tff(c_1024252,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1024248,c_1023830]) ).
tff(c_1024279,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1023395,c_1024252]) ).
tff(c_1024281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1024279]) ).
tff(c_1024283,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_1022715]) ).
tff(c_1024290,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_1024283,c_1017906]) ).
tff(c_1024338,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_1024290]) ).
tff(c_1024339,plain,
product(e_1,e_4,e_4),
inference(splitRight,[status(thm)],[c_1018366]) ).
tff(c_1017690,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_1,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1017662,c_120]) ).
tff(c_1024345,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1024339,c_1017690]) ).
tff(c_1024366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1024345]) ).
tff(c_1024367,plain,
( product(e_6,e_6,e_2)
| product(e_6,e_6,e_3)
| product(e_6,e_6,e_4)
| product(e_6,e_6,e_5) ),
inference(splitRight,[status(thm)],[c_1005573]) ).
tff(c_1024369,plain,
product(e_6,e_6,e_5),
inference(splitLeft,[status(thm)],[c_1024367]) ).
tff(c_1024483,plain,
! [W_15124] :
( equalish(W_15124,e_6)
| ~ product(e_6,W_15124,e_5) ),
inference(resolution,[status(thm)],[c_1024369,c_120]) ).
tff(c_1024519,plain,
! [Y_5] :
( equalish(Y_5,e_6)
| product(e_6,Y_5,e_4)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(Y_5) ),
inference(resolution,[status(thm)],[c_1005560,c_1024483]) ).
tff(c_1024646,plain,
! [X_15127] :
( product(X_15127,e_6,e_5)
| ~ product(X_15127,e_6,e_6) ),
inference(resolution,[status(thm)],[c_1024369,c_124]) ).
tff(c_1024650,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_116,c_1024646]) ).
tff(c_1026298,plain,
! [X_15151] :
( product(X_15151,e_6,e_5)
| product(X_15151,e_6,e_4)
| product(X_15151,e_6,e_3)
| product(X_15151,e_6,e_2)
| product(X_15151,e_6,e_1)
| ~ group_element(X_15151) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_1024650]) ).
tff(c_1024391,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_6,e_5) ),
inference(resolution,[status(thm)],[c_1024369,c_122]) ).
tff(c_1026322,plain,
! [X_15151] :
( equalish(X_15151,e_6)
| product(X_15151,e_6,e_4)
| product(X_15151,e_6,e_3)
| product(X_15151,e_6,e_2)
| product(X_15151,e_6,e_1)
| ~ group_element(X_15151) ),
inference(resolution,[status(thm)],[c_1026298,c_1024391]) ).
tff(c_1024371,plain,
( product(e_6,e_5,e_6)
| product(e_5,e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_1024369,c_219]) ).
tff(c_1024384,plain,
( product(e_6,e_5,e_6)
| product(e_5,e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_54,c_1024371]) ).
tff(c_1026537,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1024384]) ).
tff(c_1026745,plain,
! [X_15164] :
( product(X_15164,e_5,e_1)
| ~ product(X_15164,e_6,e_5) ),
inference(resolution,[status(thm)],[c_1026537,c_124]) ).
tff(c_1026787,plain,
product(e_6,e_5,e_1),
inference(resolution,[status(thm)],[c_1024369,c_1026745]) ).
tff(c_1026965,plain,
! [X_15168] :
( product(X_15168,e_6,e_1)
| ~ product(X_15168,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1026787,c_124]) ).
tff(c_1027322,plain,
! [X_15179,X_15180] :
( product(X_15179,X_15180,e_1)
| ~ product(X_15179,e_6,X_15180)
| ~ product(X_15180,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1026965,c_124]) ).
tff(c_1027361,plain,
( product(e_5,e_1,e_1)
| ~ product(e_1,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1026537,c_1027322]) ).
tff(c_1027395,plain,
~ product(e_1,e_5,e_6),
inference(splitLeft,[status(thm)],[c_1027361]) ).
tff(c_1027398,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_1027395]) ).
tff(c_1027401,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_52,c_1027398]) ).
tff(c_1027443,plain,
product(e_1,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1027401]) ).
tff(c_1026825,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_1026787,c_122]) ).
tff(c_1027448,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1027443,c_1026825]) ).
tff(c_1027466,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1027448]) ).
tff(c_1027467,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_1027401]) ).
tff(c_1027476,plain,
product(e_1,e_5,e_5),
inference(splitLeft,[status(thm)],[c_1027467]) ).
tff(c_1027689,plain,
! [X_15188] :
( product(X_15188,e_1,e_5)
| ~ product(X_15188,e_5,e_1) ),
inference(resolution,[status(thm)],[c_1027476,c_124]) ).
tff(c_1027693,plain,
product(e_6,e_1,e_5),
inference(resolution,[status(thm)],[c_1026787,c_1027689]) ).
tff(c_1024390,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_6,W_11,e_5) ),
inference(resolution,[status(thm)],[c_1024369,c_120]) ).
tff(c_1027704,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1027693,c_1024390]) ).
tff(c_1027751,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1027704]) ).
tff(c_1027752,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_1027467]) ).
tff(c_1027803,plain,
product(e_1,e_5,e_2),
inference(splitLeft,[status(thm)],[c_1027752]) ).
tff(c_1027805,plain,
( equalish(e_5,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1027803,c_1792]) ).
tff(c_1027820,plain,
( equalish(e_5,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1027805]) ).
tff(c_1027822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_96,c_1027820]) ).
tff(c_1027823,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_1027752]) ).
tff(c_1027825,plain,
product(e_1,e_5,e_4),
inference(splitLeft,[status(thm)],[c_1027823]) ).
tff(c_1027855,plain,
! [W_15191] :
( equalish(W_15191,e_5)
| ~ product(e_1,W_15191,e_4) ),
inference(resolution,[status(thm)],[c_1027825,c_120]) ).
tff(c_1027862,plain,
( equalish(e_6,e_5)
| equalish(e_1,e_6)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1026322,c_1027855]) ).
tff(c_1027871,plain,
( equalish(e_6,e_5)
| equalish(e_1,e_6)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_1027862]) ).
tff(c_1027872,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_114,c_1027871]) ).
tff(c_1028532,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1027872]) ).
tff(c_1026559,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_1026537,c_122]) ).
tff(c_1028624,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_1028532,c_1026559]) ).
tff(c_1028650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_1028624]) ).
tff(c_1028651,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_1027872]) ).
tff(c_1028657,plain,
product(e_1,e_6,e_3),
inference(splitLeft,[status(thm)],[c_1028651]) ).
tff(c_1028667,plain,
( equalish(e_6,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1028657,c_1885]) ).
tff(c_1028689,plain,
( equalish(e_6,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1028667]) ).
tff(c_1028691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_108,c_1028689]) ).
tff(c_1028692,plain,
product(e_1,e_6,e_2),
inference(splitRight,[status(thm)],[c_1028651]) ).
tff(c_1028703,plain,
( equalish(e_6,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1028692,c_1792]) ).
tff(c_1028723,plain,
( equalish(e_6,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1028703]) ).
tff(c_1028725,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_106,c_1028723]) ).
tff(c_1028726,plain,
product(e_1,e_5,e_3),
inference(splitRight,[status(thm)],[c_1027823]) ).
tff(c_1028729,plain,
( equalish(e_5,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1028726,c_1885]) ).
tff(c_1028746,plain,
( equalish(e_5,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1028729]) ).
tff(c_1028748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_98,c_1028746]) ).
tff(c_1028749,plain,
product(e_5,e_1,e_1),
inference(splitRight,[status(thm)],[c_1027361]) ).
tff(c_1026558,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_5,W_11,e_1) ),
inference(resolution,[status(thm)],[c_1026537,c_120]) ).
tff(c_1028758,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1028749,c_1026558]) ).
tff(c_1028791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1028758]) ).
tff(c_1028792,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_5)
| product(e_6,e_5,e_6) ),
inference(splitRight,[status(thm)],[c_1024384]) ).
tff(c_1028794,plain,
product(e_6,e_5,e_6),
inference(splitLeft,[status(thm)],[c_1028792]) ).
tff(c_1028977,plain,
! [X_15213] :
( product(X_15213,e_6,e_6)
| ~ product(X_15213,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1028794,c_124]) ).
tff(c_1028825,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_6) ),
inference(resolution,[status(thm)],[c_1028794,c_120]) ).
tff(c_1028981,plain,
( equalish(e_6,e_5)
| ~ product(e_6,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1028977,c_1028825]) ).
tff(c_1029010,plain,
equalish(e_6,e_5),
inference(demodulation,[status(thm),theory(equality)],[c_1028794,c_1028981]) ).
tff(c_1029012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_1029010]) ).
tff(c_1029013,plain,
( product(e_5,e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1028792]) ).
tff(c_1029021,plain,
product(e_5,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1029013]) ).
tff(c_1029260,plain,
! [X_15219] :
( product(X_15219,e_5,e_2)
| ~ product(X_15219,e_6,e_5) ),
inference(resolution,[status(thm)],[c_1029021,c_124]) ).
tff(c_1029302,plain,
product(e_6,e_5,e_2),
inference(resolution,[status(thm)],[c_1024369,c_1029260]) ).
tff(c_1029639,plain,
! [X_15225] :
( product(X_15225,e_6,e_2)
| ~ product(X_15225,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1029302,c_124]) ).
tff(c_1029875,plain,
! [X_15234,X_15235] :
( product(X_15234,X_15235,e_2)
| ~ product(X_15234,e_6,X_15235)
| ~ product(X_15235,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1029639,c_124]) ).
tff(c_1029914,plain,
( product(e_5,e_2,e_2)
| ~ product(e_2,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1029021,c_1029875]) ).
tff(c_1029948,plain,
~ product(e_2,e_5,e_6),
inference(splitLeft,[status(thm)],[c_1029914]) ).
tff(c_1029951,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_1029948]) ).
tff(c_1029954,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_52,c_1029951]) ).
tff(c_1030011,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1029954]) ).
tff(c_1030157,plain,
! [X_15244] :
( product(X_15244,e_2,e_1)
| ~ product(X_15244,e_5,e_2) ),
inference(resolution,[status(thm)],[c_1030011,c_124]) ).
tff(c_1030161,plain,
product(e_6,e_2,e_1),
inference(resolution,[status(thm)],[c_1029302,c_1030157]) ).
tff(c_1030163,plain,
( product(e_6,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1030161,c_1884]) ).
tff(c_1030181,plain,
( product(e_6,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1030163]) ).
tff(c_1030182,plain,
product(e_6,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1030181]) ).
tff(c_1030897,plain,
! [X_15253] :
( product(X_15253,e_6,e_3)
| ~ product(X_15253,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1030182,c_124]) ).
tff(c_1031396,plain,
! [X_15270,X_15271] :
( product(X_15270,X_15271,e_3)
| ~ product(X_15270,e_6,X_15271)
| ~ product(X_15271,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1030897,c_124]) ).
tff(c_1031441,plain,
( product(e_5,e_2,e_3)
| ~ product(e_2,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1029021,c_1031396]) ).
tff(c_1031474,plain,
~ product(e_2,e_1,e_6),
inference(splitLeft,[status(thm)],[c_1031441]) ).
tff(c_1031477,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_1031474]) ).
tff(c_1031480,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_1031477]) ).
tff(c_1031481,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1031480]) ).
tff(c_1031525,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1031481]) ).
tff(c_1030327,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1030182,c_122]) ).
tff(c_1031530,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1031525,c_1030327]) ).
tff(c_1031572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1031530]) ).
tff(c_1031574,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_1031481]) ).
tff(c_1031577,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_1031574]) ).
tff(c_1031580,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1031577]) ).
tff(c_1031582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1031580]) ).
tff(c_1031583,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_1029954]) ).
tff(c_1031585,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_1031583]) ).
tff(c_1031798,plain,
! [X_15279] :
( product(X_15279,e_2,e_5)
| ~ product(X_15279,e_5,e_2) ),
inference(resolution,[status(thm)],[c_1031585,c_124]) ).
tff(c_1031802,plain,
product(e_6,e_2,e_5),
inference(resolution,[status(thm)],[c_1029302,c_1031798]) ).
tff(c_1031807,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1031802,c_1024390]) ).
tff(c_1031832,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1031807]) ).
tff(c_1031833,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_1031583]) ).
tff(c_1031877,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_1031833]) ).
tff(c_1029346,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_1029302,c_122]) ).
tff(c_1031882,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1031877,c_1029346]) ).
tff(c_1031902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1031882]) ).
tff(c_1031903,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_1031833]) ).
tff(c_1031905,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_1031903]) ).
tff(c_1032012,plain,
! [W_15282] :
( equalish(W_15282,e_5)
| ~ product(e_2,W_15282,e_4) ),
inference(resolution,[status(thm)],[c_1031905,c_120]) ).
tff(c_1032019,plain,
( equalish(e_6,e_5)
| equalish(e_2,e_6)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1026322,c_1032012]) ).
tff(c_1032028,plain,
( equalish(e_6,e_5)
| equalish(e_2,e_6)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1032019]) ).
tff(c_1032029,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_74,c_114,c_1032028]) ).
tff(c_1032504,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1032029]) ).
tff(c_1032699,plain,
! [X_15298] :
( product(X_15298,e_2,e_1)
| ~ product(X_15298,e_6,e_2) ),
inference(resolution,[status(thm)],[c_1032504,c_124]) ).
tff(c_1032707,plain,
product(e_5,e_2,e_1),
inference(resolution,[status(thm)],[c_1029021,c_1032699]) ).
tff(c_1032709,plain,
( product(e_5,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1032707,c_1884]) ).
tff(c_1032727,plain,
( product(e_5,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1032709]) ).
tff(c_1032728,plain,
product(e_5,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1032727]) ).
tff(c_1034522,plain,
! [X_15331] :
( equalish(e_5,X_15331)
| ~ next(X_15331,e_3)
| product(X_15331,e_1,e_2)
| product(X_15331,e_1,e_1)
| ~ group_element(X_15331) ),
inference(resolution,[status(thm)],[c_1032728,c_314]) ).
tff(c_1034551,plain,
( equalish(e_5,e_2)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1034522,c_1484]) ).
tff(c_1034600,plain,
( equalish(e_5,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1034551]) ).
tff(c_1034602,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_98,c_1034600]) ).
tff(c_1034603,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_1032029]) ).
tff(c_1034605,plain,
product(e_2,e_6,e_3),
inference(splitLeft,[status(thm)],[c_1034603]) ).
tff(c_1034619,plain,
( equalish(e_6,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1034605,c_312]) ).
tff(c_1034644,plain,
( equalish(e_6,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1034619]) ).
tff(c_1034646,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_106,c_1034644]) ).
tff(c_1034647,plain,
product(e_2,e_6,e_2),
inference(splitRight,[status(thm)],[c_1034603]) ).
tff(c_1029049,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_6,e_2) ),
inference(resolution,[status(thm)],[c_1029021,c_122]) ).
tff(c_1034663,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_1034647,c_1029049]) ).
tff(c_1034689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_1034663]) ).
tff(c_1034690,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_1031903]) ).
tff(c_1034697,plain,
( equalish(e_5,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1034690,c_312]) ).
tff(c_1034717,plain,
( equalish(e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1034697]) ).
tff(c_1034719,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_96,c_1034717]) ).
tff(c_1034720,plain,
product(e_5,e_2,e_2),
inference(splitRight,[status(thm)],[c_1029914]) ).
tff(c_1029048,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_5,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1029021,c_120]) ).
tff(c_1034734,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1034720,c_1029048]) ).
tff(c_1034760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1034734]) ).
tff(c_1034761,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_5) ),
inference(splitRight,[status(thm)],[c_1029013]) ).
tff(c_1034763,plain,
product(e_5,e_6,e_5),
inference(splitLeft,[status(thm)],[c_1034761]) ).
tff(c_1034766,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_1034763,c_1024391]) ).
tff(c_1034782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1034766]) ).
tff(c_1034783,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_1034761]) ).
tff(c_1034880,plain,
product(e_5,e_6,e_3),
inference(splitLeft,[status(thm)],[c_1034783]) ).
tff(c_1035087,plain,
! [X_15338] :
( product(X_15338,e_5,e_3)
| ~ product(X_15338,e_6,e_5) ),
inference(resolution,[status(thm)],[c_1034880,c_124]) ).
tff(c_1035129,plain,
product(e_6,e_5,e_3),
inference(resolution,[status(thm)],[c_1024369,c_1035087]) ).
tff(c_1035481,plain,
! [X_15344] :
( product(X_15344,e_6,e_3)
| ~ product(X_15344,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1035129,c_124]) ).
tff(c_1035728,plain,
! [X_15353,X_15354] :
( product(X_15353,X_15354,e_3)
| ~ product(X_15353,e_6,X_15354)
| ~ product(X_15354,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1035481,c_124]) ).
tff(c_1035767,plain,
( product(e_5,e_3,e_3)
| ~ product(e_3,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1034880,c_1035728]) ).
tff(c_1035801,plain,
~ product(e_3,e_5,e_6),
inference(splitLeft,[status(thm)],[c_1035767]) ).
tff(c_1035804,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_1035801]) ).
tff(c_1035807,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_52,c_1035804]) ).
tff(c_1035826,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1035807]) ).
tff(c_1035972,plain,
! [X_15360] :
( product(X_15360,e_3,e_1)
| ~ product(X_15360,e_5,e_3) ),
inference(resolution,[status(thm)],[c_1035826,c_124]) ).
tff(c_1035976,plain,
product(e_6,e_3,e_1),
inference(resolution,[status(thm)],[c_1035129,c_1035972]) ).
tff(c_1036138,plain,
! [X_15364] :
( product(X_15364,e_6,e_1)
| ~ product(X_15364,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1035976,c_124]) ).
tff(c_1035539,plain,
! [X_18,X_15344] :
( product(X_18,X_15344,e_3)
| ~ product(X_18,e_6,X_15344)
| ~ product(X_15344,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1035481,c_124]) ).
tff(c_1036184,plain,
! [X_15364] :
( product(X_15364,e_1,e_3)
| ~ product(e_1,e_5,e_6)
| ~ product(X_15364,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1036138,c_1035539]) ).
tff(c_1036383,plain,
~ product(e_1,e_5,e_6),
inference(splitLeft,[status(thm)],[c_1036184]) ).
tff(c_1036386,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_1036383]) ).
tff(c_1036389,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_52,c_1036386]) ).
tff(c_1036479,plain,
product(e_1,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1036389]) ).
tff(c_1035848,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_1035826,c_122]) ).
tff(c_1036484,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_1036479,c_1035848]) ).
tff(c_1036502,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_1036484]) ).
tff(c_1036503,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_1036389]) ).
tff(c_1036505,plain,
product(e_1,e_5,e_5),
inference(splitLeft,[status(thm)],[c_1036503]) ).
tff(c_1036712,plain,
! [X_15379] :
( product(X_15379,e_1,e_5)
| ~ product(X_15379,e_5,e_1) ),
inference(resolution,[status(thm)],[c_1036505,c_124]) ).
tff(c_1036716,plain,
product(e_3,e_1,e_5),
inference(resolution,[status(thm)],[c_1035826,c_1036712]) ).
tff(c_1036739,plain,
~ next(e_3,e_4),
inference(resolution,[status(thm)],[c_1036716,c_163]) ).
tff(c_1036789,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1036739]) ).
tff(c_1036790,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_1036503]) ).
tff(c_1036834,plain,
product(e_1,e_5,e_2),
inference(splitLeft,[status(thm)],[c_1036790]) ).
tff(c_1036836,plain,
( equalish(e_5,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1036834,c_1792]) ).
tff(c_1036851,plain,
( equalish(e_5,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1036836]) ).
tff(c_1036853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_96,c_1036851]) ).
tff(c_1036854,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_1036790]) ).
tff(c_1036856,plain,
product(e_1,e_5,e_4),
inference(splitLeft,[status(thm)],[c_1036854]) ).
tff(c_1036886,plain,
! [W_15380] :
( equalish(W_15380,e_5)
| ~ product(e_1,W_15380,e_4) ),
inference(resolution,[status(thm)],[c_1036856,c_120]) ).
tff(c_1036893,plain,
( equalish(e_6,e_5)
| equalish(e_1,e_6)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1026322,c_1036886]) ).
tff(c_1036902,plain,
( equalish(e_6,e_5)
| equalish(e_1,e_6)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_1036893]) ).
tff(c_1036903,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_114,c_1036902]) ).
tff(c_1037502,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1036903]) ).
tff(c_1037727,plain,
! [X_15399] :
( product(X_15399,e_1,e_1)
| ~ product(X_15399,e_6,e_1) ),
inference(resolution,[status(thm)],[c_1037502,c_124]) ).
tff(c_1037730,plain,
product(e_1,e_1,e_1),
inference(resolution,[status(thm)],[c_1037502,c_1037727]) ).
tff(c_1037737,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_1037730]) ).
tff(c_1037738,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_1036903]) ).
tff(c_1037744,plain,
product(e_1,e_6,e_3),
inference(splitLeft,[status(thm)],[c_1037738]) ).
tff(c_1034914,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_6,e_3) ),
inference(resolution,[status(thm)],[c_1034880,c_122]) ).
tff(c_1037761,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_1037744,c_1034914]) ).
tff(c_1037790,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_1037761]) ).
tff(c_1037791,plain,
product(e_1,e_6,e_2),
inference(splitRight,[status(thm)],[c_1037738]) ).
tff(c_1037808,plain,
( equalish(e_6,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1037791,c_1792]) ).
tff(c_1037829,plain,
( equalish(e_6,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1037808]) ).
tff(c_1037831,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_106,c_1037829]) ).
tff(c_1037832,plain,
product(e_1,e_5,e_3),
inference(splitRight,[status(thm)],[c_1036854]) ).
tff(c_1035308,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_3) ),
inference(resolution,[status(thm)],[c_1035129,c_122]) ).
tff(c_1037848,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1037832,c_1035308]) ).
tff(c_1037871,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1037848]) ).
tff(c_1037873,plain,
product(e_1,e_5,e_6),
inference(splitRight,[status(thm)],[c_1036184]) ).
tff(c_1035502,plain,
! [X_15344] :
( equalish(e_6,e_2)
| ~ next(X_15344,e_2)
| product(X_15344,e_1,e_1)
| ~ group_element(X_15344)
| ~ product(X_15344,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1035481,c_1885]) ).
tff(c_1035528,plain,
! [X_15344] :
( ~ next(X_15344,e_2)
| product(X_15344,e_1,e_1)
| ~ group_element(X_15344)
| ~ product(X_15344,e_5,e_6) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_1035502]) ).
tff(c_1037882,plain,
( ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1037873,c_1035528]) ).
tff(c_1037912,plain,
product(e_1,e_1,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1037882]) ).
tff(c_1037914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_1037912]) ).
tff(c_1037915,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_1035807]) ).
tff(c_1037917,plain,
product(e_3,e_5,e_5),
inference(splitLeft,[status(thm)],[c_1037915]) ).
tff(c_1038124,plain,
! [X_15405] :
( product(X_15405,e_3,e_5)
| ~ product(X_15405,e_5,e_3) ),
inference(resolution,[status(thm)],[c_1037917,c_124]) ).
tff(c_1038128,plain,
product(e_6,e_3,e_5),
inference(resolution,[status(thm)],[c_1035129,c_1038124]) ).
tff(c_1038131,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_1038128,c_1024390]) ).
tff(c_1038147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_1038131]) ).
tff(c_1038148,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_1037915]) ).
tff(c_1038192,plain,
product(e_3,e_5,e_2),
inference(splitLeft,[status(thm)],[c_1038148]) ).
tff(c_1024653,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(X_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_1024650]) ).
tff(c_1038368,plain,
! [X_15409] :
( product(X_15409,e_3,e_2)
| ~ product(X_15409,e_5,e_3) ),
inference(resolution,[status(thm)],[c_1038192,c_124]) ).
tff(c_1038372,plain,
product(e_6,e_3,e_2),
inference(resolution,[status(thm)],[c_1035129,c_1038368]) ).
tff(c_1038564,plain,
! [X_15413] :
( product(X_15413,e_6,e_2)
| ~ product(X_15413,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1038372,c_124]) ).
tff(c_1038609,plain,
! [X_15413] :
( product(X_15413,e_2,e_3)
| ~ product(e_2,e_5,e_6)
| ~ product(X_15413,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1038564,c_1035539]) ).
tff(c_1038825,plain,
~ product(e_2,e_5,e_6),
inference(splitLeft,[status(thm)],[c_1038609]) ).
tff(c_1038828,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_1038825]) ).
tff(c_1038831,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_52,c_1038828]) ).
tff(c_1038922,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1038831]) ).
tff(c_1039068,plain,
! [X_15427] :
( product(X_15427,e_2,e_1)
| ~ product(X_15427,e_5,e_2) ),
inference(resolution,[status(thm)],[c_1038922,c_124]) ).
tff(c_1039072,plain,
product(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c_1038192,c_1039068]) ).
tff(c_1039074,plain,
( product(e_3,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1039072,c_1884]) ).
tff(c_1039092,plain,
( product(e_3,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1039074]) ).
tff(c_1039093,plain,
product(e_3,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1039092]) ).
tff(c_1039900,plain,
! [X_15435] :
( product(X_15435,e_3,e_3)
| ~ product(X_15435,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1039093,c_124]) ).
tff(c_1039187,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1039093,c_120]) ).
tff(c_1039904,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1039900,c_1039187]) ).
tff(c_1039937,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1039093,c_1039904]) ).
tff(c_1039939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1039937]) ).
tff(c_1039940,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_1038831]) ).
tff(c_1039942,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_1039940]) ).
tff(c_1040149,plain,
! [X_15439] :
( product(X_15439,e_2,e_5)
| ~ product(X_15439,e_5,e_2) ),
inference(resolution,[status(thm)],[c_1039942,c_124]) ).
tff(c_1040153,plain,
product(e_3,e_2,e_5),
inference(resolution,[status(thm)],[c_1038192,c_1040149]) ).
tff(c_1040190,plain,
! [W_15440] :
( equalish(W_15440,e_2)
| ~ product(e_3,W_15440,e_5) ),
inference(resolution,[status(thm)],[c_1040153,c_120]) ).
tff(c_1040197,plain,
( equalish(e_6,e_2)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1024653,c_1040190]) ).
tff(c_1040230,plain,
( equalish(e_6,e_2)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_1040197]) ).
tff(c_1040231,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_1040230]) ).
tff(c_1045202,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1040231]) ).
tff(c_1045406,plain,
! [X_15530] :
( product(X_15530,e_3,e_1)
| ~ product(X_15530,e_6,e_3) ),
inference(resolution,[status(thm)],[c_1045202,c_124]) ).
tff(c_1045414,plain,
product(e_5,e_3,e_1),
inference(resolution,[status(thm)],[c_1034880,c_1045406]) ).
tff(c_1040438,plain,
! [X_15443] :
( product(X_15443,e_3,e_5)
| ~ product(X_15443,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1040153,c_124]) ).
tff(c_1040486,plain,
! [X_18,X_15443] :
( product(X_18,X_15443,e_5)
| ~ product(X_18,e_3,X_15443)
| ~ product(X_15443,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1040438,c_124]) ).
tff(c_1045432,plain,
( product(e_5,e_1,e_5)
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1045414,c_1040486]) ).
tff(c_1045836,plain,
~ product(e_1,e_2,e_3),
inference(splitLeft,[status(thm)],[c_1045432]) ).
tff(c_1045863,plain,
( ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1774,c_1045836]) ).
tff(c_1045890,plain,
product(e_1,e_1,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1045863]) ).
tff(c_1045892,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_1045890]) ).
tff(c_1045893,plain,
product(e_5,e_1,e_5),
inference(splitRight,[status(thm)],[c_1045432]) ).
tff(c_1046626,plain,
! [X_15545] :
( product(X_15545,e_5,e_5)
| ~ product(X_15545,e_1,e_5) ),
inference(resolution,[status(thm)],[c_1045893,c_124]) ).
tff(c_1046037,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_1045893,c_120]) ).
tff(c_1046630,plain,
( equalish(e_5,e_1)
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[c_1046626,c_1046037]) ).
tff(c_1046679,plain,
equalish(e_5,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1045893,c_1046630]) ).
tff(c_1046681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_1046679]) ).
tff(c_1046682,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_1040231]) ).
tff(c_1046684,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_1046682]) ).
tff(c_1041303,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1040231]) ).
tff(c_1039967,plain,
! [W_15436] :
( equalish(W_15436,e_5)
| ~ product(e_2,W_15436,e_5) ),
inference(resolution,[status(thm)],[c_1039942,c_120]) ).
tff(c_1039974,plain,
( equalish(e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1024653,c_1039967]) ).
tff(c_1040007,plain,
( equalish(e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1039974]) ).
tff(c_1040008,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_1040007]) ).
tff(c_1040941,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1040008]) ).
tff(c_1040981,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_1040941,c_122]) ).
tff(c_1041347,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_1041303,c_1040981]) ).
tff(c_1041373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1041347]) ).
tff(c_1041374,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_1040231]) ).
tff(c_1042019,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_1041374]) ).
tff(c_954056,plain,
! [W_11,X_13992] :
( equalish(W_11,e_1)
| ~ product(X_13992,W_11,e_4)
| ~ next(X_13992,e_4)
| product(X_13992,e_1,e_3)
| product(X_13992,e_1,e_2)
| product(X_13992,e_1,e_1)
| ~ group_element(X_13992) ),
inference(resolution,[status(thm)],[c_954007,c_120]) ).
tff(c_1042201,plain,
( equalish(e_6,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1042019,c_954056]) ).
tff(c_1042228,plain,
( equalish(e_6,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1042201]) ).
tff(c_1042229,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_1042228]) ).
tff(c_1043089,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1042229]) ).
tff(c_1043097,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1043089,c_1790]) ).
tff(c_1043130,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1043097]) ).
tff(c_1043131,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1043130]) ).
tff(c_1038219,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1038192,c_120]) ).
tff(c_1043162,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_1043131,c_1038219]) ).
tff(c_1043203,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_1043162]) ).
tff(c_1043204,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_1042229]) ).
tff(c_1043242,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1043204]) ).
tff(c_1043644,plain,
! [X_15499] :
( product(X_15499,e_3,e_3)
| ~ product(X_15499,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1043242,c_124]) ).
tff(c_1043331,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1043242,c_120]) ).
tff(c_1043648,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1043644,c_1043331]) ).
tff(c_1043690,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1043242,c_1043648]) ).
tff(c_1043692,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1043690]) ).
tff(c_1043693,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1043204]) ).
tff(c_1043708,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_1043693,c_1038219]) ).
tff(c_1043749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_1043708]) ).
tff(c_1043750,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1041374]) ).
tff(c_1043924,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1043750]) ).
tff(c_1043944,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_1043924,c_1038219]) ).
tff(c_1043977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_1043944]) ).
tff(c_1043978,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_1043750]) ).
tff(c_1044006,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_1043978,c_1034914]) ).
tff(c_1044038,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_1044006]) ).
tff(c_1044039,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_1040008]) ).
tff(c_1044041,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_1044039]) ).
tff(c_1044085,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_6,e_4) ),
inference(resolution,[status(thm)],[c_1044041,c_122]) ).
tff(c_1046696,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_1046684,c_1044085]) ).
tff(c_1046730,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1046696]) ).
tff(c_1046731,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1046682]) ).
tff(c_1046745,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1046731]) ).
tff(c_1046765,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_1046745,c_1038219]) ).
tff(c_1046798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_1046765]) ).
tff(c_1046799,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_1046731]) ).
tff(c_1046826,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_1046799,c_1034914]) ).
tff(c_1046858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_1046826]) ).
tff(c_1046859,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1044039]) ).
tff(c_1046868,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1046859]) ).
tff(c_1047181,plain,
! [X_15553] :
( product(X_15553,e_2,e_2)
| ~ product(X_15553,e_6,e_2) ),
inference(resolution,[status(thm)],[c_1046868,c_124]) ).
tff(c_1047188,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_1046868,c_1047181]) ).
tff(c_1046921,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1046868,c_120]) ).
tff(c_1047194,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1047188,c_1046921]) ).
tff(c_1047219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1047194]) ).
tff(c_1047220,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_1046859]) ).
tff(c_1047242,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_1047220,c_1034914]) ).
tff(c_1047271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_1047242]) ).
tff(c_1047272,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_1039940]) ).
tff(c_1047316,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_1047272]) ).
tff(c_1038220,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_5,e_2) ),
inference(resolution,[status(thm)],[c_1038192,c_122]) ).
tff(c_1047360,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_1047316,c_1038220]) ).
tff(c_1047380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_1047360]) ).
tff(c_1047381,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_1047272]) ).
tff(c_1047383,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_1047381]) ).
tff(c_1047519,plain,
! [X_15561] :
( product(X_15561,e_2,e_4)
| ~ product(X_15561,e_5,e_2) ),
inference(resolution,[status(thm)],[c_1047383,c_124]) ).
tff(c_1047523,plain,
product(e_3,e_2,e_4),
inference(resolution,[status(thm)],[c_1038192,c_1047519]) ).
tff(c_1047525,plain,
( equalish(e_2,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1047523,c_954056]) ).
tff(c_1047545,plain,
( equalish(e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1047525]) ).
tff(c_1047546,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_1047545]) ).
tff(c_1048272,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1047546]) ).
tff(c_1048284,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1048272,c_1790]) ).
tff(c_1048313,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1048284]) ).
tff(c_1048314,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1048313]) ).
tff(c_1048343,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_1048314,c_1038219]) ).
tff(c_1048380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_1048343]) ).
tff(c_1048381,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_1047546]) ).
tff(c_1048464,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1048381]) ).
tff(c_1048860,plain,
! [X_15581] :
( product(X_15581,e_3,e_3)
| ~ product(X_15581,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1048464,c_124]) ).
tff(c_1048547,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1048464,c_120]) ).
tff(c_1048864,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1048860,c_1048547]) ).
tff(c_1048900,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1048464,c_1048864]) ).
tff(c_1048902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1048900]) ).
tff(c_1048903,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1048381]) ).
tff(c_1048916,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_1048903,c_1038219]) ).
tff(c_1048953,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_1048916]) ).
tff(c_1048954,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_1047381]) ).
tff(c_1049002,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1048954,c_1035308]) ).
tff(c_1049025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1049002]) ).
tff(c_1049027,plain,
product(e_2,e_5,e_6),
inference(splitRight,[status(thm)],[c_1038609]) ).
tff(c_1035506,plain,
! [X_15344] :
( equalish(e_6,e_1)
| ~ next(X_15344,e_3)
| product(X_15344,e_1,e_2)
| product(X_15344,e_1,e_1)
| ~ group_element(X_15344)
| ~ product(X_15344,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1035481,c_312]) ).
tff(c_1035534,plain,
! [X_15344] :
( ~ next(X_15344,e_3)
| product(X_15344,e_1,e_2)
| product(X_15344,e_1,e_1)
| ~ group_element(X_15344)
| ~ product(X_15344,e_5,e_6) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_1035506]) ).
tff(c_1049033,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1049027,c_1035534]) ).
tff(c_1049062,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1049033]) ).
tff(c_1049064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1049062]) ).
tff(c_1049065,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_1038148]) ).
tff(c_1049074,plain,
product(e_3,e_5,e_4),
inference(splitLeft,[status(thm)],[c_1049065]) ).
tff(c_1049076,plain,
( equalish(e_5,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1049074,c_954056]) ).
tff(c_1049091,plain,
( equalish(e_5,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1049076]) ).
tff(c_1049092,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_1049091]) ).
tff(c_1049627,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1049092]) ).
tff(c_1049633,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1049627,c_1790]) ).
tff(c_1049662,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1049633]) ).
tff(c_1049663,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1049662]) ).
tff(c_1049860,plain,
! [W_15604] :
( equalish(W_15604,e_1)
| ~ product(e_3,e_1,W_15604) ),
inference(resolution,[status(thm)],[c_1049627,c_118]) ).
tff(c_1049863,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_1049663,c_1049860]) ).
tff(c_1049970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1049863]) ).
tff(c_1049971,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_1049092]) ).
tff(c_1050009,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1049971]) ).
tff(c_1050405,plain,
! [X_15608] :
( product(X_15608,e_3,e_3)
| ~ product(X_15608,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1050009,c_124]) ).
tff(c_1050092,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1050009,c_120]) ).
tff(c_1050409,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1050405,c_1050092]) ).
tff(c_1050442,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1050009,c_1050409]) ).
tff(c_1050444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1050442]) ).
tff(c_1050445,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1049971]) ).
tff(c_1050471,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1050445,c_311]) ).
tff(c_1050514,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1050471]) ).
tff(c_1050515,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1050514]) ).
tff(c_1051196,plain,
! [X_15616] :
( product(X_15616,e_3,e_3)
| ~ product(X_15616,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1050515,c_124]) ).
tff(c_1050583,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1050515,c_120]) ).
tff(c_1051200,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1051196,c_1050583]) ).
tff(c_1051233,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1050515,c_1051200]) ).
tff(c_1051235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1051233]) ).
tff(c_1051236,plain,
product(e_3,e_5,e_3),
inference(splitRight,[status(thm)],[c_1049065]) ).
tff(c_1051242,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_1051236,c_1035308]) ).
tff(c_1051264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_1051242]) ).
tff(c_1051265,plain,
product(e_5,e_3,e_3),
inference(splitRight,[status(thm)],[c_1035767]) ).
tff(c_1034913,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_5,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1034880,c_120]) ).
tff(c_1051279,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_1051265,c_1034913]) ).
tff(c_1051302,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_1051279]) ).
tff(c_1051303,plain,
product(e_5,e_6,e_4),
inference(splitRight,[status(thm)],[c_1034783]) ).
tff(c_1051452,plain,
! [X_15621] :
( product(X_15621,e_5,e_4)
| ~ product(X_15621,e_6,e_5) ),
inference(resolution,[status(thm)],[c_1051303,c_124]) ).
tff(c_1051494,plain,
product(e_6,e_5,e_4),
inference(resolution,[status(thm)],[c_1024369,c_1051452]) ).
tff(c_1051540,plain,
! [W_15622] :
( equalish(W_15622,e_5)
| ~ product(e_6,W_15622,e_4) ),
inference(resolution,[status(thm)],[c_1051494,c_120]) ).
tff(c_1051561,plain,
! [Y_5] :
( equalish(Y_5,e_5)
| equalish(Y_5,e_6)
| product(e_6,Y_5,e_3)
| product(e_6,Y_5,e_2)
| product(e_6,Y_5,e_1)
| ~ group_element(Y_5) ),
inference(resolution,[status(thm)],[c_1024519,c_1051540]) ).
tff(c_1052158,plain,
! [Y_15640] :
( equalish(Y_15640,e_5)
| equalish(Y_15640,e_6)
| product(e_6,Y_15640,e_3)
| product(e_6,Y_15640,e_2)
| product(e_6,Y_15640,e_1)
| ~ group_element(Y_15640) ),
inference(resolution,[status(thm)],[c_1024519,c_1051540]) ).
tff(c_1052192,plain,
! [X_138] :
( equalish(e_6,X_138)
| ~ next(X_138,e_2)
| product(X_138,e_1,e_1)
| ~ group_element(X_138)
| equalish(e_2,e_5)
| equalish(e_2,e_6)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1052158,c_1886]) ).
tff(c_1052267,plain,
! [X_138] :
( equalish(e_6,X_138)
| ~ next(X_138,e_2)
| product(X_138,e_1,e_1)
| ~ group_element(X_138)
| equalish(e_2,e_5)
| equalish(e_2,e_6)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1052192]) ).
tff(c_1052268,plain,
! [X_138] :
( equalish(e_6,X_138)
| ~ next(X_138,e_2)
| product(X_138,e_1,e_1)
| ~ group_element(X_138)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_74,c_72,c_1052267]) ).
tff(c_1052310,plain,
product(e_6,e_2,e_1),
inference(splitLeft,[status(thm)],[c_1052268]) ).
tff(c_1052312,plain,
( product(e_6,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1052310,c_1884]) ).
tff(c_1052330,plain,
( product(e_6,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1052312]) ).
tff(c_1052331,plain,
product(e_6,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1052330]) ).
tff(c_1053760,plain,
! [X_15670] :
( equalish(e_6,X_15670)
| ~ next(X_15670,e_3)
| product(X_15670,e_1,e_2)
| product(X_15670,e_1,e_1)
| ~ group_element(X_15670) ),
inference(resolution,[status(thm)],[c_1052331,c_314]) ).
tff(c_1053779,plain,
( equalish(e_6,e_2)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1053760,c_1484]) ).
tff(c_1053818,plain,
( equalish(e_6,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1053779]) ).
tff(c_1053820,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_108,c_1053818]) ).
tff(c_1053821,plain,
! [X_138] :
( product(e_6,e_2,e_2)
| equalish(e_6,X_138)
| ~ next(X_138,e_2)
| product(X_138,e_1,e_1)
| ~ group_element(X_138) ),
inference(splitRight,[status(thm)],[c_1052268]) ).
tff(c_1053823,plain,
product(e_6,e_2,e_2),
inference(splitLeft,[status(thm)],[c_1053821]) ).
tff(c_1054108,plain,
! [X_15674] :
( product(X_15674,e_6,e_2)
| ~ product(X_15674,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1053823,c_124]) ).
tff(c_1051333,plain,
! [W_8] :
( equalish(W_8,e_4)
| ~ product(e_5,e_6,W_8) ),
inference(resolution,[status(thm)],[c_1051303,c_118]) ).
tff(c_1054121,plain,
( equalish(e_2,e_4)
| ~ product(e_5,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1054108,c_1051333]) ).
tff(c_1054152,plain,
~ product(e_5,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_70,c_1054121]) ).
tff(c_1054180,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_1054152]) ).
tff(c_1054183,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_46,c_1054180]) ).
tff(c_1055752,plain,
product(e_5,e_2,e_1),
inference(splitLeft,[status(thm)],[c_1054183]) ).
tff(c_1055756,plain,
( product(e_5,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1055752,c_1884]) ).
tff(c_1055776,plain,
( product(e_5,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1055756]) ).
tff(c_1055777,plain,
product(e_5,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1055776]) ).
tff(c_1056071,plain,
! [W_15721] :
( equalish(W_15721,e_5)
| ~ product(W_15721,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1055777,c_122]) ).
tff(c_1056078,plain,
( equalish(e_6,e_5)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1051561,c_1056071]) ).
tff(c_1056086,plain,
( equalish(e_6,e_5)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_1056078]) ).
tff(c_1056087,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_62,c_114,c_1056086]) ).
tff(c_1057057,plain,
product(e_6,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1056087]) ).
tff(c_1051660,plain,
! [X_15625] :
( product(X_15625,e_6,e_4)
| ~ product(X_15625,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1051494,c_124]) ).
tff(c_1051865,plain,
! [X_15633,X_15634] :
( product(X_15633,X_15634,e_4)
| ~ product(X_15633,e_6,X_15634)
| ~ product(X_15634,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1051660,c_124]) ).
tff(c_1051904,plain,
( product(e_5,e_4,e_4)
| ~ product(e_4,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1051303,c_1051865]) ).
tff(c_1051946,plain,
~ product(e_4,e_5,e_6),
inference(splitLeft,[status(thm)],[c_1051904]) ).
tff(c_1051949,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_1051946]) ).
tff(c_1051952,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_52,c_1051949]) ).
tff(c_1054480,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1051952]) ).
tff(c_1054626,plain,
! [X_15688] :
( product(X_15688,e_4,e_1)
| ~ product(X_15688,e_5,e_4) ),
inference(resolution,[status(thm)],[c_1054480,c_124]) ).
tff(c_1054634,plain,
product(e_6,e_4,e_1),
inference(resolution,[status(thm)],[c_1051494,c_1054626]) ).
tff(c_1054659,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_6,W_11,e_1) ),
inference(resolution,[status(thm)],[c_1054634,c_120]) ).
tff(c_1057064,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_1057057,c_1054659]) ).
tff(c_1057098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_1057064]) ).
tff(c_1057099,plain,
product(e_6,e_1,e_2),
inference(splitRight,[status(thm)],[c_1056087]) ).
tff(c_1053863,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_6,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1053823,c_120]) ).
tff(c_1057143,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_1057099,c_1053863]) ).
tff(c_1057184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_1057143]) ).
tff(c_1057185,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_1054183]) ).
tff(c_1057187,plain,
product(e_5,e_2,e_5),
inference(splitLeft,[status(thm)],[c_1057185]) ).
tff(c_1057485,plain,
! [X_15732] :
( product(X_15732,e_5,e_5)
| ~ product(X_15732,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1057187,c_124]) ).
tff(c_1057227,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_5,W_11,e_5) ),
inference(resolution,[status(thm)],[c_1057187,c_120]) ).
tff(c_1057489,plain,
( equalish(e_5,e_2)
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1057485,c_1057227]) ).
tff(c_1057529,plain,
equalish(e_5,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1057187,c_1057489]) ).
tff(c_1057531,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_1057529]) ).
tff(c_1057532,plain,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_1057185]) ).
tff(c_1057576,plain,
product(e_5,e_2,e_2),
inference(splitLeft,[status(thm)],[c_1057532]) ).
tff(c_1053864,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_1053823,c_122]) ).
tff(c_1057581,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_1057576,c_1053864]) ).
tff(c_1057606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1057581]) ).
tff(c_1057607,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_1057532]) ).
tff(c_1057616,plain,
product(e_5,e_2,e_4),
inference(splitLeft,[status(thm)],[c_1057607]) ).
tff(c_1051331,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_5,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1051303,c_120]) ).
tff(c_1057621,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1057616,c_1051331]) ).
tff(c_1057647,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1057621]) ).
tff(c_1057648,plain,
product(e_5,e_2,e_3),
inference(splitRight,[status(thm)],[c_1057607]) ).
tff(c_1058488,plain,
! [X_15747] :
( equalish(e_5,X_15747)
| ~ next(X_15747,e_2)
| product(X_15747,e_1,e_1)
| ~ group_element(X_15747) ),
inference(resolution,[status(thm)],[c_1057648,c_1886]) ).
tff(c_1058511,plain,
( equalish(e_5,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1058488,c_952984]) ).
tff(c_1058560,plain,
equalish(e_5,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1058511]) ).
tff(c_1058562,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_1058560]) ).
tff(c_1058563,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_1051952]) ).
tff(c_1058565,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_1058563]) ).
tff(c_1058772,plain,
! [X_15751] :
( product(X_15751,e_4,e_5)
| ~ product(X_15751,e_5,e_4) ),
inference(resolution,[status(thm)],[c_1058565,c_124]) ).
tff(c_1058780,plain,
product(e_6,e_4,e_5),
inference(resolution,[status(thm)],[c_1051494,c_1058772]) ).
tff(c_1058848,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1058780,c_1024390]) ).
tff(c_1058864,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1058848]) ).
tff(c_1058865,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_1058563]) ).
tff(c_1058909,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_1058865]) ).
tff(c_1059096,plain,
! [X_15755] :
( product(X_15755,e_4,e_2)
| ~ product(X_15755,e_5,e_4) ),
inference(resolution,[status(thm)],[c_1058909,c_124]) ).
tff(c_1059104,plain,
product(e_6,e_4,e_2),
inference(resolution,[status(thm)],[c_1051494,c_1059096]) ).
tff(c_1059113,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_1059104,c_1053863]) ).
tff(c_1059133,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_1059113]) ).
tff(c_1059134,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_1058865]) ).
tff(c_1059136,plain,
product(e_4,e_5,e_4),
inference(splitLeft,[status(thm)],[c_1059134]) ).
tff(c_1051538,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_1051494,c_122]) ).
tff(c_1059141,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1059136,c_1051538]) ).
tff(c_1059161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1059141]) ).
tff(c_1059162,plain,
product(e_4,e_5,e_3),
inference(splitRight,[status(thm)],[c_1059134]) ).
tff(c_1059369,plain,
! [X_15759] :
( product(X_15759,e_4,e_3)
| ~ product(X_15759,e_5,e_4) ),
inference(resolution,[status(thm)],[c_1059162,c_124]) ).
tff(c_1059377,plain,
product(e_6,e_4,e_3),
inference(resolution,[status(thm)],[c_1051494,c_1059369]) ).
tff(c_1059417,plain,
! [W_15760] :
( equalish(W_15760,e_4)
| ~ product(e_6,W_15760,e_3) ),
inference(resolution,[status(thm)],[c_1059377,c_120]) ).
tff(c_1063536,plain,
! [Y_15845] :
( equalish(Y_15845,e_4)
| equalish(Y_15845,e_5)
| equalish(Y_15845,e_6)
| product(e_6,Y_15845,e_2)
| product(e_6,Y_15845,e_1)
| ~ group_element(Y_15845) ),
inference(resolution,[status(thm)],[c_1051561,c_1059417]) ).
tff(c_1063634,plain,
( product(e_6,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2)
| equalish(e_1,e_4)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1063536,c_311]) ).
tff(c_1063760,plain,
( product(e_6,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| equalish(e_1,e_4)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_46,c_4,c_1063634]) ).
tff(c_1063761,plain,
( product(e_6,e_2,e_3)
| product(e_6,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_62,c_60,c_1276,c_1484,c_1063760]) ).
tff(c_1063778,plain,
product(e_6,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1063761]) ).
tff(c_1063784,plain,
( product(e_6,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1063778,c_1790]) ).
tff(c_1063813,plain,
( product(e_6,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1063784]) ).
tff(c_1063814,plain,
product(e_6,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1063813]) ).
tff(c_1063845,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_1063814,c_1053863]) ).
tff(c_1063884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_1063845]) ).
tff(c_1063886,plain,
~ product(e_6,e_1,e_1),
inference(splitRight,[status(thm)],[c_1063761]) ).
tff(c_1063624,plain,
! [X_136] :
( equalish(e_6,X_136)
| ~ next(X_136,e_2)
| product(X_136,e_1,e_1)
| ~ group_element(X_136)
| equalish(e_1,e_4)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1063536,c_1793]) ).
tff(c_1063745,plain,
! [X_136] :
( equalish(e_6,X_136)
| ~ next(X_136,e_2)
| product(X_136,e_1,e_1)
| ~ group_element(X_136)
| equalish(e_1,e_4)
| equalish(e_1,e_5)
| equalish(e_1,e_6)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_1063624]) ).
tff(c_1063746,plain,
! [X_136] :
( equalish(e_6,X_136)
| ~ next(X_136,e_2)
| product(X_136,e_1,e_1)
| ~ group_element(X_136)
| product(e_6,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_62,c_60,c_1063745]) ).
tff(c_1063924,plain,
! [X_15846] :
( equalish(e_6,X_15846)
| ~ next(X_15846,e_2)
| product(X_15846,e_1,e_1)
| ~ group_element(X_15846) ),
inference(negUnitSimplification,[status(thm)],[c_1063886,c_1063746]) ).
tff(c_1063934,plain,
( equalish(e_6,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1063924,c_952984]) ).
tff(c_1063967,plain,
equalish(e_6,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1063934]) ).
tff(c_1063969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_1063967]) ).
tff(c_1063972,plain,
! [X_15847] :
( equalish(e_6,X_15847)
| ~ next(X_15847,e_2)
| product(X_15847,e_1,e_1)
| ~ group_element(X_15847) ),
inference(splitRight,[status(thm)],[c_1053821]) ).
tff(c_1063979,plain,
( equalish(e_6,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1063972,c_952984]) ).
tff(c_1064009,plain,
equalish(e_6,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1063979]) ).
tff(c_1064011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_1064009]) ).
tff(c_1064012,plain,
product(e_5,e_4,e_4),
inference(splitRight,[status(thm)],[c_1051904]) ).
tff(c_1064018,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1064012,c_1051331]) ).
tff(c_1064039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1064018]) ).
tff(c_1064040,plain,
( product(e_6,e_6,e_4)
| product(e_6,e_6,e_3)
| product(e_6,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1024367]) ).
tff(c_1064077,plain,
product(e_6,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1064040]) ).
tff(c_1064178,plain,
( product(e_6,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1064077,c_219]) ).
tff(c_1064195,plain,
( product(e_6,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_54,c_1064178]) ).
tff(c_1066072,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1064195]) ).
tff(c_1066272,plain,
! [X_15888] :
( product(X_15888,e_2,e_1)
| ~ product(X_15888,e_6,e_2) ),
inference(resolution,[status(thm)],[c_1066072,c_124]) ).
tff(c_1066276,plain,
product(e_6,e_2,e_1),
inference(resolution,[status(thm)],[c_1064077,c_1066272]) ).
tff(c_1066278,plain,
( product(e_6,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1066276,c_1884]) ).
tff(c_1066296,plain,
( product(e_6,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1066278]) ).
tff(c_1066297,plain,
product(e_6,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1066296]) ).
tff(c_1066967,plain,
! [X_15897] :
( product(X_15897,e_6,e_3)
| ~ product(X_15897,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1066297,c_124]) ).
tff(c_1066095,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_2,e_6,W_8) ),
inference(resolution,[status(thm)],[c_1066072,c_118]) ).
tff(c_1066975,plain,
( equalish(e_3,e_1)
| ~ product(e_2,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1066967,c_1066095]) ).
tff(c_1067001,plain,
~ product(e_2,e_1,e_6),
inference(negUnitSimplification,[status(thm)],[c_76,c_1066975]) ).
tff(c_1067028,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_1067001]) ).
tff(c_1067031,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_1067028]) ).
tff(c_1067032,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1067031]) ).
tff(c_1067487,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1067032]) ).
tff(c_1066382,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1066297,c_122]) ).
tff(c_1067492,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1067487,c_1066382]) ).
tff(c_1067532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1067492]) ).
tff(c_1067534,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_1067032]) ).
tff(c_1067544,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_1067534]) ).
tff(c_1067547,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1067544]) ).
tff(c_1067549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1067547]) ).
tff(c_1067550,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_6,e_2,e_6) ),
inference(splitRight,[status(thm)],[c_1064195]) ).
tff(c_1067552,plain,
product(e_6,e_2,e_6),
inference(splitLeft,[status(thm)],[c_1067550]) ).
tff(c_1067811,plain,
! [X_15923] :
( product(X_15923,e_6,e_6)
| ~ product(X_15923,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1067552,c_124]) ).
tff(c_1067595,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_6,W_11,e_6) ),
inference(resolution,[status(thm)],[c_1067552,c_120]) ).
tff(c_1067815,plain,
( equalish(e_6,e_2)
| ~ product(e_6,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1067811,c_1067595]) ).
tff(c_1067844,plain,
equalish(e_6,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1067552,c_1067815]) ).
tff(c_1067846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_1067844]) ).
tff(c_1067847,plain,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1067550]) ).
tff(c_1067880,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1067847]) ).
tff(c_1064202,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_6,e_2) ),
inference(resolution,[status(thm)],[c_1064077,c_122]) ).
tff(c_1067883,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1067880,c_1064202]) ).
tff(c_1067901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1067883]) ).
tff(c_1067902,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(splitRight,[status(thm)],[c_1067847]) ).
tff(c_1067904,plain,
product(e_2,e_6,e_5),
inference(splitLeft,[status(thm)],[c_1067902]) ).
tff(c_1068121,plain,
! [X_15930] :
( product(X_15930,e_2,e_5)
| ~ product(X_15930,e_6,e_2) ),
inference(resolution,[status(thm)],[c_1067904,c_124]) ).
tff(c_1068125,plain,
product(e_6,e_2,e_5),
inference(resolution,[status(thm)],[c_1064077,c_1068121]) ).
tff(c_1068541,plain,
! [X_15936] :
( product(X_15936,e_6,e_5)
| ~ product(X_15936,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1068125,c_124]) ).
tff(c_1068791,plain,
! [X_15945,X_15946] :
( product(X_15945,X_15946,e_5)
| ~ product(X_15945,e_6,X_15946)
| ~ product(X_15946,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1068541,c_124]) ).
tff(c_1068825,plain,
( product(e_2,e_5,e_5)
| ~ product(e_5,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1067904,c_1068791]) ).
tff(c_1068854,plain,
~ product(e_5,e_2,e_6),
inference(splitLeft,[status(thm)],[c_1068825]) ).
tff(c_1068857,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_1068854]) ).
tff(c_1068860,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_46,c_1068857]) ).
tff(c_1068863,plain,
product(e_5,e_2,e_1),
inference(splitLeft,[status(thm)],[c_1068860]) ).
tff(c_1068867,plain,
( product(e_5,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1068863,c_1884]) ).
tff(c_1068889,plain,
( product(e_5,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1068867]) ).
tff(c_1068890,plain,
product(e_5,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1068889]) ).
tff(c_1071001,plain,
! [X_15993] :
( equalish(e_5,X_15993)
| ~ next(X_15993,e_3)
| product(X_15993,e_1,e_2)
| product(X_15993,e_1,e_1)
| ~ group_element(X_15993) ),
inference(resolution,[status(thm)],[c_1068890,c_314]) ).
tff(c_1071024,plain,
( equalish(e_5,e_2)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1071001,c_1484]) ).
tff(c_1071067,plain,
( equalish(e_5,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1071024]) ).
tff(c_1071069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_98,c_1071067]) ).
tff(c_1071070,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_1068860]) ).
tff(c_1071118,plain,
product(e_5,e_2,e_5),
inference(splitLeft,[status(thm)],[c_1071070]) ).
tff(c_1068159,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1068125,c_122]) ).
tff(c_1071123,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_1071118,c_1068159]) ).
tff(c_1071146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1071123]) ).
tff(c_1071147,plain,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_1071070]) ).
tff(c_1071210,plain,
product(e_5,e_2,e_2),
inference(splitLeft,[status(thm)],[c_1071147]) ).
tff(c_1071472,plain,
! [X_16002] :
( product(X_16002,e_5,e_2)
| ~ product(X_16002,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1071210,c_124]) ).
tff(c_1064201,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_6,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1064077,c_120]) ).
tff(c_1071480,plain,
( equalish(e_5,e_6)
| ~ product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1071472,c_1064201]) ).
tff(c_1071499,plain,
equalish(e_5,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_1068125,c_1071480]) ).
tff(c_1071501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1071499]) ).
tff(c_1071502,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_1071147]) ).
tff(c_1071641,plain,
product(e_5,e_2,e_4),
inference(splitLeft,[status(thm)],[c_1071502]) ).
tff(c_1071679,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1071641,c_124]) ).
tff(c_1071837,plain,
! [X_16009] :
( product(X_16009,e_5,e_4)
| ~ product(X_16009,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1071641,c_124]) ).
tff(c_1071887,plain,
! [W_16012,X_16013] :
( equalish(W_16012,e_4)
| ~ product(X_16013,e_5,W_16012)
| ~ product(X_16013,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1071837,c_118]) ).
tff(c_1071902,plain,
( equalish(e_5,e_4)
| ~ product(e_6,e_2,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_1005560,c_1071887]) ).
tff(c_1071935,plain,
( equalish(e_5,e_4)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1068125,c_1071902]) ).
tff(c_1071936,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_102,c_1071935]) ).
tff(c_1072101,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1071936]) ).
tff(c_1071871,plain,
! [W_8,X_16009] :
( equalish(W_8,e_4)
| ~ product(X_16009,e_5,W_8)
| ~ product(X_16009,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1071837,c_118]) ).
tff(c_1072106,plain,
( equalish(e_1,e_4)
| ~ product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1072101,c_1071871]) ).
tff(c_1072124,plain,
equalish(e_1,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_1068125,c_1072106]) ).
tff(c_1072126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_1072124]) ).
tff(c_1072127,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_1071936]) ).
tff(c_1072129,plain,
product(e_6,e_5,e_4),
inference(splitLeft,[status(thm)],[c_1072127]) ).
tff(c_1071961,plain,
! [X_16016,X_16017] :
( product(X_16016,X_16017,e_4)
| ~ product(X_16016,e_5,X_16017)
| ~ product(X_16017,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1071837,c_124]) ).
tff(c_1071988,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_2,e_5)
| ~ product(X_18,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1071679,c_1071961]) ).
tff(c_1072013,plain,
~ product(e_4,e_2,e_5),
inference(splitLeft,[status(thm)],[c_1071988]) ).
tff(c_1072339,plain,
! [X_16024] :
( product(X_16024,e_6,e_4)
| ~ product(X_16024,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1072129,c_124]) ).
tff(c_1068593,plain,
! [X_18,X_15936] :
( product(X_18,X_15936,e_5)
| ~ product(X_18,e_6,X_15936)
| ~ product(X_15936,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1068541,c_124]) ).
tff(c_1072386,plain,
! [X_16024] :
( product(X_16024,e_4,e_5)
| ~ product(e_4,e_2,e_6)
| ~ product(X_16024,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1072339,c_1068593]) ).
tff(c_1072626,plain,
~ product(e_4,e_2,e_6),
inference(splitLeft,[status(thm)],[c_1072386]) ).
tff(c_1072629,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_1072626]) ).
tff(c_1072632,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_46,c_1072629]) ).
tff(c_1072633,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1072013,c_1072632]) ).
tff(c_1072641,plain,
product(e_4,e_2,e_1),
inference(splitLeft,[status(thm)],[c_1072633]) ).
tff(c_1072645,plain,
( product(e_4,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1072641,c_1884]) ).
tff(c_1072667,plain,
( product(e_4,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1072645]) ).
tff(c_1072668,plain,
product(e_4,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1072667]) ).
tff(c_1072762,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1072668,c_124]) ).
tff(c_1073298,plain,
! [X_16042] :
( product(X_16042,e_4,e_3)
| ~ product(X_16042,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1072668,c_124]) ).
tff(c_1073657,plain,
! [X_16058,X_16059] :
( product(X_16058,X_16059,e_3)
| ~ product(X_16058,e_4,X_16059)
| ~ product(X_16059,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1073298,c_124]) ).
tff(c_1073686,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1072762,c_1073657]) ).
tff(c_1073779,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1073686]) ).
tff(c_1073782,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_1073779]) ).
tff(c_1073785,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1073782]) ).
tff(c_1073786,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1073785]) ).
tff(c_1073800,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1073786,c_1790]) ).
tff(c_1073838,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1073800]) ).
tff(c_1073839,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1073838]) ).
tff(c_1074048,plain,
! [W_16062] :
( equalish(W_16062,e_1)
| ~ product(e_3,e_1,W_16062) ),
inference(resolution,[status(thm)],[c_1073786,c_118]) ).
tff(c_1074051,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_1073839,c_1074048]) ).
tff(c_1074158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1074051]) ).
tff(c_1074159,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_1073785]) ).
tff(c_1074197,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1074159]) ).
tff(c_1072765,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1072668,c_122]) ).
tff(c_1074202,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_1074197,c_1072765]) ).
tff(c_1074246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_1074202]) ).
tff(c_1074247,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1074159]) ).
tff(c_1074273,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1074247,c_311]) ).
tff(c_1074320,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1074273]) ).
tff(c_1074321,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1074320]) ).
tff(c_1075001,plain,
! [X_16070] :
( product(X_16070,e_3,e_3)
| ~ product(X_16070,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1074321,c_124]) ).
tff(c_1074458,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1074321,c_120]) ).
tff(c_1075005,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1075001,c_1074458]) ).
tff(c_1075030,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1074321,c_1075005]) ).
tff(c_1075032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1075030]) ).
tff(c_1075416,plain,
! [X_16074] :
( product(X_16074,e_3,e_3)
| ~ product(X_16074,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_1073686]) ).
tff(c_1073334,plain,
! [W_11,X_16042] :
( equalish(W_11,e_4)
| ~ product(X_16042,W_11,e_3)
| ~ product(X_16042,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1073298,c_120]) ).
tff(c_1075418,plain,
! [X_16074] :
( equalish(e_3,e_4)
| ~ product(X_16074,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1075416,c_1073334]) ).
tff(c_1075441,plain,
! [X_16074] : ~ product(X_16074,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_80,c_1075418]) ).
tff(c_1075034,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_1073686]) ).
tff(c_1075465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1075441,c_1075034]) ).
tff(c_1075467,plain,
~ product(e_4,e_2,e_1),
inference(splitRight,[status(thm)],[c_1072633]) ).
tff(c_1072172,plain,
! [X_18] :
( product(X_18,e_6,e_4)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1072129,c_124]) ).
tff(c_1072561,plain,
! [X_16033,X_16034] :
( product(X_16033,X_16034,e_4)
| ~ product(X_16033,e_6,X_16034)
| ~ product(X_16034,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1072339,c_124]) ).
tff(c_1072596,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_5,e_6)
| ~ product(X_18,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1072172,c_1072561]) ).
tff(c_1072634,plain,
~ product(e_4,e_5,e_6),
inference(splitLeft,[status(thm)],[c_1072596]) ).
tff(c_1072637,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_1072634]) ).
tff(c_1072640,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_52,c_1072637]) ).
tff(c_1078191,plain,
product(e_4,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1072640]) ).
tff(c_1064286,plain,
! [X_15853] :
( product(X_15853,e_6,e_2)
| ~ product(X_15853,e_6,e_6) ),
inference(resolution,[status(thm)],[c_1064077,c_124]) ).
tff(c_1064290,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_116,c_1064286]) ).
tff(c_1064293,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(X_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_1064290]) ).
tff(c_1067927,plain,
! [W_8] :
( equalish(W_8,e_5)
| ~ product(e_2,e_6,W_8) ),
inference(resolution,[status(thm)],[c_1067904,c_118]) ).
tff(c_1072358,plain,
( equalish(e_4,e_5)
| ~ product(e_2,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1072339,c_1067927]) ).
tff(c_1072392,plain,
~ product(e_2,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_92,c_1072358]) ).
tff(c_1072425,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_1072392]) ).
tff(c_1072428,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_52,c_1072425]) ).
tff(c_1076255,plain,
product(e_2,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1072428]) ).
tff(c_1071680,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_5,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1071641,c_120]) ).
tff(c_1072349,plain,
( equalish(e_6,e_2)
| ~ product(e_5,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1072339,c_1071680]) ).
tff(c_1072385,plain,
~ product(e_5,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_108,c_1072349]) ).
tff(c_1072419,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_1072385]) ).
tff(c_1072422,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1072419]) ).
tff(c_1076001,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1072422]) ).
tff(c_1076037,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_1076001,c_122]) ).
tff(c_1076258,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_1076255,c_1076037]) ).
tff(c_1076281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_1076258]) ).
tff(c_1076283,plain,
~ product(e_2,e_5,e_1),
inference(splitRight,[status(thm)],[c_1072428]) ).
tff(c_1076282,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_1072428]) ).
tff(c_1076284,plain,
product(e_2,e_5,e_5),
inference(splitLeft,[status(thm)],[c_1076282]) ).
tff(c_1076035,plain,
! [X_18] :
( product(X_18,e_5,e_1)
| ~ product(X_18,e_5,e_5) ),
inference(resolution,[status(thm)],[c_1076001,c_124]) ).
tff(c_1076287,plain,
product(e_2,e_5,e_1),
inference(resolution,[status(thm)],[c_1076284,c_1076035]) ).
tff(c_1076315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1076283,c_1076287]) ).
tff(c_1076316,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_1076282]) ).
tff(c_1076417,plain,
product(e_2,e_5,e_2),
inference(splitLeft,[status(thm)],[c_1076316]) ).
tff(c_1076817,plain,
! [X_16098] :
( product(X_16098,e_2,e_2)
| ~ product(X_16098,e_5,e_2) ),
inference(resolution,[status(thm)],[c_1076417,c_124]) ).
tff(c_1076821,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_1076417,c_1076817]) ).
tff(c_1076460,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1076417,c_120]) ).
tff(c_1076824,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_1076821,c_1076460]) ).
tff(c_1076852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_1076824]) ).
tff(c_1076853,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_1076316]) ).
tff(c_1076855,plain,
product(e_2,e_5,e_4),
inference(splitLeft,[status(thm)],[c_1076853]) ).
tff(c_1072174,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_5,e_4) ),
inference(resolution,[status(thm)],[c_1072129,c_122]) ).
tff(c_1076860,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1076855,c_1072174]) ).
tff(c_1076889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1076860]) ).
tff(c_1076890,plain,
product(e_2,e_5,e_3),
inference(splitRight,[status(thm)],[c_1076853]) ).
tff(c_1077060,plain,
( equalish(e_5,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1076890,c_312]) ).
tff(c_1077084,plain,
( equalish(e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1077060]) ).
tff(c_1077086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_96,c_1077084]) ).
tff(c_1077087,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_1072422]) ).
tff(c_1077089,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_1077087]) ).
tff(c_1077189,plain,
! [W_16102] :
( equalish(W_16102,e_5)
| ~ product(e_5,W_16102,e_5) ),
inference(resolution,[status(thm)],[c_1077089,c_120]) ).
tff(c_1077200,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_1064293,c_1077189]) ).
tff(c_1077235,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1077200]) ).
tff(c_1077236,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_1077235]) ).
tff(c_1077383,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1077236]) ).
tff(c_1077571,plain,
! [X_16108] :
( product(X_16108,e_5,e_1)
| ~ product(X_16108,e_6,e_5) ),
inference(resolution,[status(thm)],[c_1077383,c_124]) ).
tff(c_1077610,plain,
product(e_2,e_5,e_1),
inference(resolution,[status(thm)],[c_1067904,c_1077571]) ).
tff(c_1077670,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_1077610,c_122]) ).
tff(c_1078203,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_1078191,c_1077670]) ).
tff(c_1078232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_1078203]) ).
tff(c_1078233,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_1072640]) ).
tff(c_1078239,plain,
product(e_4,e_5,e_5),
inference(splitLeft,[status(thm)],[c_1078233]) ).
tff(c_1077187,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_5,e_5) ),
inference(resolution,[status(thm)],[c_1077089,c_122]) ).
tff(c_1078247,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_1078239,c_1077187]) ).
tff(c_1078276,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_1078247]) ).
tff(c_1078277,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_1078233]) ).
tff(c_1078321,plain,
product(e_4,e_5,e_2),
inference(splitLeft,[status(thm)],[c_1078277]) ).
tff(c_1077668,plain,
! [X_18] :
( product(X_18,e_2,e_1)
| ~ product(X_18,e_5,e_2) ),
inference(resolution,[status(thm)],[c_1077610,c_124]) ).
tff(c_1078329,plain,
product(e_4,e_2,e_1),
inference(resolution,[status(thm)],[c_1078321,c_1077668]) ).
tff(c_1078362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1075467,c_1078329]) ).
tff(c_1078363,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_1078277]) ).
tff(c_1078365,plain,
product(e_4,e_5,e_4),
inference(splitLeft,[status(thm)],[c_1078363]) ).
tff(c_1078383,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1078365,c_1072174]) ).
tff(c_1078415,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1078383]) ).
tff(c_1078416,plain,
product(e_4,e_5,e_3),
inference(splitRight,[status(thm)],[c_1078363]) ).
tff(c_1078639,plain,
! [X_16127] :
( product(X_16127,e_4,e_3)
| ~ product(X_16127,e_5,e_4) ),
inference(resolution,[status(thm)],[c_1078416,c_124]) ).
tff(c_1078646,plain,
product(e_6,e_4,e_3),
inference(resolution,[status(thm)],[c_1072129,c_1078639]) ).
tff(c_1075466,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_1072633]) ).
tff(c_1075468,plain,
product(e_4,e_2,e_4),
inference(splitLeft,[status(thm)],[c_1075466]) ).
tff(c_1071681,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1071641,c_122]) ).
tff(c_1075475,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_1075468,c_1071681]) ).
tff(c_1075502,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_1075475]) ).
tff(c_1075503,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_1075466]) ).
tff(c_1075505,plain,
product(e_4,e_2,e_2),
inference(splitLeft,[status(thm)],[c_1075503]) ).
tff(c_1075767,plain,
! [X_16078] :
( product(X_16078,e_4,e_2)
| ~ product(X_16078,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1075505,c_124]) ).
tff(c_1075805,plain,
! [X_18,X_16078] :
( product(X_18,X_16078,e_2)
| ~ product(X_18,e_4,X_16078)
| ~ product(X_16078,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1075767,c_124]) ).
tff(c_1078669,plain,
( product(e_6,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1078646,c_1075805]) ).
tff(c_1079074,plain,
~ product(e_3,e_2,e_4),
inference(splitLeft,[status(thm)],[c_1078669]) ).
tff(c_1071868,plain,
! [X_18,X_16009] :
( product(X_18,X_16009,e_4)
| ~ product(X_18,e_5,X_16009)
| ~ product(X_16009,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1071837,c_124]) ).
tff(c_1078451,plain,
( product(e_4,e_3,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1078416,c_1071868]) ).
tff(c_1078859,plain,
~ product(e_3,e_2,e_5),
inference(splitLeft,[status(thm)],[c_1078451]) ).
tff(c_1068157,plain,
! [X_18] :
( product(X_18,e_6,e_5)
| ~ product(X_18,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1068125,c_124]) ).
tff(c_1077857,plain,
! [X_16113] :
( product(X_16113,e_5,e_1)
| ~ product(X_16113,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1068157,c_1077571]) ).
tff(c_1077933,plain,
! [X_18,X_16113] :
( product(X_18,X_16113,e_1)
| ~ product(X_18,e_5,X_16113)
| ~ product(X_16113,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1077857,c_124]) ).
tff(c_1078448,plain,
( product(e_4,e_3,e_1)
| ~ product(e_3,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1078416,c_1077933]) ).
tff(c_1079300,plain,
~ product(e_3,e_2,e_6),
inference(splitLeft,[status(thm)],[c_1078448]) ).
tff(c_1079304,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_1079300]) ).
tff(c_1079307,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_46,c_1079304]) ).
tff(c_1079308,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1079074,c_1078859,c_1079307]) ).
tff(c_1080047,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_1079308]) ).
tff(c_1080061,plain,
( product(e_3,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1080047,c_1884]) ).
tff(c_1080085,plain,
( product(e_3,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1080061]) ).
tff(c_1080086,plain,
product(e_3,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1080085]) ).
tff(c_1081103,plain,
! [X_16164] :
( product(X_16164,e_3,e_3)
| ~ product(X_16164,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1080086,c_124]) ).
tff(c_1080195,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1080086,c_120]) ).
tff(c_1081107,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1081103,c_1080195]) ).
tff(c_1081138,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1080086,c_1081107]) ).
tff(c_1081140,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1081138]) ).
tff(c_1081141,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(splitRight,[status(thm)],[c_1079308]) ).
tff(c_1081143,plain,
product(e_3,e_2,e_3),
inference(splitLeft,[status(thm)],[c_1081141]) ).
tff(c_1081561,plain,
! [X_16168] :
( product(X_16168,e_3,e_3)
| ~ product(X_16168,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1081143,c_124]) ).
tff(c_1081198,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1081143,c_120]) ).
tff(c_1081565,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1081561,c_1081198]) ).
tff(c_1081596,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1081143,c_1081565]) ).
tff(c_1081598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1081596]) ).
tff(c_1081599,plain,
product(e_3,e_2,e_2),
inference(splitRight,[status(thm)],[c_1081141]) ).
tff(c_1075547,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_1075505,c_122]) ).
tff(c_1081659,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_1081599,c_1075547]) ).
tff(c_1081684,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_1081659]) ).
tff(c_1081686,plain,
product(e_3,e_2,e_6),
inference(splitRight,[status(thm)],[c_1078448]) ).
tff(c_1068687,plain,
! [W_15940,X_15941] :
( equalish(W_15940,X_15941)
| ~ product(W_15940,e_6,e_5)
| ~ product(X_15941,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1068541,c_122]) ).
tff(c_1068716,plain,
! [X_15941] :
( equalish(e_2,X_15941)
| ~ product(X_15941,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1067904,c_1068687]) ).
tff(c_1081692,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_1081686,c_1068716]) ).
tff(c_1081721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_1081692]) ).
tff(c_1081723,plain,
product(e_3,e_2,e_4),
inference(splitRight,[status(thm)],[c_1078669]) ).
tff(c_1081733,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_1081723,c_1071681]) ).
tff(c_1081764,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_1081733]) ).
tff(c_1081766,plain,
product(e_3,e_2,e_5),
inference(splitRight,[status(thm)],[c_1078451]) ).
tff(c_1071870,plain,
! [W_14,X_16009] :
( equalish(W_14,X_16009)
| ~ product(W_14,e_5,e_4)
| ~ product(X_16009,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1071837,c_122]) ).
tff(c_1072154,plain,
! [X_16009] :
( equalish(e_6,X_16009)
| ~ product(X_16009,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1072129,c_1071870]) ).
tff(c_1081772,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_1081766,c_1072154]) ).
tff(c_1081803,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_1081772]) ).
tff(c_1081804,plain,
product(e_4,e_2,e_3),
inference(splitRight,[status(thm)],[c_1075503]) ).
tff(c_1082324,plain,
! [X_16181] :
( equalish(e_4,X_16181)
| ~ next(X_16181,e_2)
| product(X_16181,e_1,e_1)
| ~ group_element(X_16181) ),
inference(resolution,[status(thm)],[c_1081804,c_1886]) ).
tff(c_1082337,plain,
( equalish(e_4,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1082324,c_952984]) ).
tff(c_1082372,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1082337]) ).
tff(c_1082374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_1082372]) ).
tff(c_1082376,plain,
product(e_4,e_2,e_6),
inference(splitRight,[status(thm)],[c_1072386]) ).
tff(c_1082379,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_1082376,c_1068716]) ).
tff(c_1082407,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_1082379]) ).
tff(c_1082409,plain,
~ product(e_6,e_5,e_4),
inference(splitRight,[status(thm)],[c_1072127]) ).
tff(c_1082412,plain,
~ product(e_6,e_2,e_5),
inference(resolution,[status(thm)],[c_1071679,c_1082409]) ).
tff(c_1082416,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1068125,c_1082412]) ).
tff(c_1082418,plain,
product(e_4,e_2,e_5),
inference(splitRight,[status(thm)],[c_1071988]) ).
tff(c_1082423,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1082418,c_1068159]) ).
tff(c_1082447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1082423]) ).
tff(c_1082448,plain,
product(e_5,e_2,e_3),
inference(splitRight,[status(thm)],[c_1071502]) ).
tff(c_1082916,plain,
! [X_16192] :
( equalish(e_5,X_16192)
| ~ next(X_16192,e_2)
| product(X_16192,e_1,e_1)
| ~ group_element(X_16192) ),
inference(resolution,[status(thm)],[c_1082448,c_1886]) ).
tff(c_1082929,plain,
( equalish(e_5,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1082916,c_952984]) ).
tff(c_1082964,plain,
equalish(e_5,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1082929]) ).
tff(c_1082966,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_1082964]) ).
tff(c_1082967,plain,
product(e_2,e_5,e_5),
inference(splitRight,[status(thm)],[c_1068825]) ).
tff(c_1067925,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_5) ),
inference(resolution,[status(thm)],[c_1067904,c_120]) ).
tff(c_1082974,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_1082967,c_1067925]) ).
tff(c_1082993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1082974]) ).
tff(c_1082994,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_1067902]) ).
tff(c_1083045,plain,
product(e_2,e_6,e_3),
inference(splitLeft,[status(thm)],[c_1082994]) ).
tff(c_1083051,plain,
( equalish(e_6,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1083045,c_312]) ).
tff(c_1083071,plain,
( equalish(e_6,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1083051]) ).
tff(c_1083073,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_106,c_1083071]) ).
tff(c_1083074,plain,
product(e_2,e_6,e_4),
inference(splitRight,[status(thm)],[c_1082994]) ).
tff(c_1083196,plain,
! [X_16196] :
( product(X_16196,e_2,e_4)
| ~ product(X_16196,e_6,e_2) ),
inference(resolution,[status(thm)],[c_1083074,c_124]) ).
tff(c_1083200,plain,
product(e_6,e_2,e_4),
inference(resolution,[status(thm)],[c_1064077,c_1083196]) ).
tff(c_1083527,plain,
! [X_16202] :
( product(X_16202,e_6,e_4)
| ~ product(X_16202,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1083200,c_124]) ).
tff(c_1083703,plain,
! [X_16210,X_16211] :
( product(X_16210,X_16211,e_4)
| ~ product(X_16210,e_6,X_16211)
| ~ product(X_16211,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1083527,c_124]) ).
tff(c_1083737,plain,
( product(e_2,e_4,e_4)
| ~ product(e_4,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1083074,c_1083703]) ).
tff(c_1083774,plain,
~ product(e_4,e_2,e_6),
inference(splitLeft,[status(thm)],[c_1083737]) ).
tff(c_1083777,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_1083774]) ).
tff(c_1083780,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_46,c_1083777]) ).
tff(c_1083782,plain,
product(e_4,e_2,e_1),
inference(splitLeft,[status(thm)],[c_1083780]) ).
tff(c_1083786,plain,
( product(e_4,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1083782,c_1884]) ).
tff(c_1083808,plain,
( product(e_4,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1083786]) ).
tff(c_1083809,plain,
product(e_4,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1083808]) ).
tff(c_1083897,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1083809,c_124]) ).
tff(c_1084466,plain,
! [X_16222] :
( product(X_16222,e_4,e_3)
| ~ product(X_16222,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1083809,c_124]) ).
tff(c_1084824,plain,
! [X_16238,X_16239] :
( product(X_16238,X_16239,e_3)
| ~ product(X_16238,e_4,X_16239)
| ~ product(X_16239,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1084466,c_124]) ).
tff(c_1084853,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1083897,c_1084824]) ).
tff(c_1085406,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1084853]) ).
tff(c_1085409,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_1085406]) ).
tff(c_1085412,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1085409]) ).
tff(c_1085478,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1085412]) ).
tff(c_1085490,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1085478,c_1790]) ).
tff(c_1085527,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1085490]) ).
tff(c_1085528,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1085527]) ).
tff(c_1085683,plain,
! [W_16257] :
( equalish(W_16257,e_1)
| ~ product(e_3,e_1,W_16257) ),
inference(resolution,[status(thm)],[c_1085478,c_118]) ).
tff(c_1085686,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_1085528,c_1085683]) ).
tff(c_1085793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1085686]) ).
tff(c_1085794,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_1085412]) ).
tff(c_1085832,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1085794]) ).
tff(c_1083900,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1083809,c_122]) ).
tff(c_1085837,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_1085832,c_1083900]) ).
tff(c_1085879,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_1085837]) ).
tff(c_1085880,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1085794]) ).
tff(c_1085904,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1085880,c_311]) ).
tff(c_1085947,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1085904]) ).
tff(c_1085948,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1085947]) ).
tff(c_1086628,plain,
! [X_16265] :
( product(X_16265,e_3,e_3)
| ~ product(X_16265,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1085948,c_124]) ).
tff(c_1086085,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1085948,c_120]) ).
tff(c_1086632,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1086628,c_1086085]) ).
tff(c_1086657,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1085948,c_1086632]) ).
tff(c_1086659,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1086657]) ).
tff(c_1086661,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_1084853]) ).
tff(c_1086985,plain,
! [X_16269] :
( product(X_16269,e_3,e_4)
| ~ product(X_16269,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1086661,c_124]) ).
tff(c_1083102,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_2,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1083074,c_120]) ).
tff(c_1086999,plain,
( equalish(e_3,e_6)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1086985,c_1083102]) ).
tff(c_1087025,plain,
~ product(e_2,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_84,c_1086999]) ).
tff(c_1087054,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_1087025]) ).
tff(c_1087057,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1087054]) ).
tff(c_1087059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1087057]) ).
tff(c_1087060,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_1083780]) ).
tff(c_1087062,plain,
product(e_4,e_2,e_5),
inference(splitLeft,[status(thm)],[c_1087060]) ).
tff(c_1087144,plain,
! [W_16272] :
( equalish(W_16272,e_2)
| ~ product(e_4,W_16272,e_5) ),
inference(resolution,[status(thm)],[c_1087062,c_120]) ).
tff(c_1087179,plain,
( equalish(e_1,e_2)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_236,c_1087144]) ).
tff(c_1087206,plain,
( equalish(e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_1087179]) ).
tff(c_1087207,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_56,c_1087206]) ).
tff(c_1087633,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1087207]) ).
tff(c_1087641,plain,
( product(e_4,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1087633,c_1790]) ).
tff(c_1087673,plain,
( product(e_4,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1087641]) ).
tff(c_1087674,plain,
product(e_4,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1087673]) ).
tff(c_1087714,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1087674,c_311]) ).
tff(c_1087755,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1087714]) ).
tff(c_1087756,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1087755]) ).
tff(c_1087143,plain,
! [W_8] :
( equalish(W_8,e_5)
| ~ product(e_4,e_2,W_8) ),
inference(resolution,[status(thm)],[c_1087062,c_118]) ).
tff(c_1087772,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_1087756,c_1087143]) ).
tff(c_1087799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_1087772]) ).
tff(c_1087801,plain,
~ product(e_4,e_1,e_1),
inference(splitRight,[status(thm)],[c_1087207]) ).
tff(c_1088021,plain,
! [W_16288,X_16289] :
( equalish(W_16288,e_1)
| ~ product(X_16289,W_16288,e_5)
| ~ next(X_16289,e_5)
| product(X_16289,e_1,e_4)
| product(X_16289,e_1,e_3)
| product(X_16289,e_1,e_2)
| product(X_16289,e_1,e_1)
| ~ group_element(X_16289) ),
inference(resolution,[status(thm)],[c_1888,c_120]) ).
tff(c_1088025,plain,
( equalish(e_2,e_1)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_1087062,c_1088021]) ).
tff(c_1088049,plain,
( equalish(e_2,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_1088025]) ).
tff(c_1088050,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_1087801,c_66,c_1088049]) ).
tff(c_1088438,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_1088050]) ).
tff(c_1088454,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1088438,c_311]) ).
tff(c_1088497,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1088454]) ).
tff(c_1088498,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1088497]) ).
tff(c_1088514,plain,
equalish(e_3,e_5),
inference(resolution,[status(thm)],[c_1088498,c_1087143]) ).
tff(c_1088541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_1088514]) ).
tff(c_1088542,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_1088050]) ).
tff(c_1088599,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1088542]) ).
tff(c_1088980,plain,
! [X_16307] :
( product(X_16307,e_4,e_4)
| ~ product(X_16307,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1088599,c_124]) ).
tff(c_1088739,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1088599,c_120]) ).
tff(c_1088984,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1088980,c_1088739]) ).
tff(c_1089025,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1088599,c_1088984]) ).
tff(c_1089027,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_1089025]) ).
tff(c_1089028,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_1088542]) ).
tff(c_1089111,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1089028,c_124]) ).
tff(c_1089420,plain,
! [X_16311] :
( product(X_16311,e_4,e_3)
| ~ product(X_16311,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1089028,c_124]) ).
tff(c_1089647,plain,
! [X_16320,X_16321] :
( product(X_16320,X_16321,e_3)
| ~ product(X_16320,e_4,X_16321)
| ~ product(X_16321,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1089420,c_124]) ).
tff(c_1089680,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1089111,c_1089647]) ).
tff(c_1089717,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1089680]) ).
tff(c_1089720,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_1089717]) ).
tff(c_1089723,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1089720]) ).
tff(c_1089793,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1089723]) ).
tff(c_1089803,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1089793,c_1790]) ).
tff(c_1089838,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1089803]) ).
tff(c_1089839,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1089838]) ).
tff(c_1089995,plain,
! [W_16324] :
( equalish(W_16324,e_1)
| ~ product(e_3,e_1,W_16324) ),
inference(resolution,[status(thm)],[c_1089793,c_118]) ).
tff(c_1089998,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_1089839,c_1089995]) ).
tff(c_1090105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1089998]) ).
tff(c_1090106,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_1089723]) ).
tff(c_1090152,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1090106]) ).
tff(c_1089114,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1089028,c_122]) ).
tff(c_1090157,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_1090152,c_1089114]) ).
tff(c_1090199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_1090157]) ).
tff(c_1090200,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1090106]) ).
tff(c_1090224,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1090200,c_311]) ).
tff(c_1090267,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1090224]) ).
tff(c_1090268,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1090267]) ).
tff(c_1090948,plain,
! [X_16333] :
( product(X_16333,e_3,e_3)
| ~ product(X_16333,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1090268,c_124]) ).
tff(c_1090335,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1090268,c_120]) ).
tff(c_1090952,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1090948,c_1090335]) ).
tff(c_1090977,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1090268,c_1090952]) ).
tff(c_1090979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1090977]) ).
tff(c_1091370,plain,
! [X_16339] :
( product(X_16339,e_3,e_3)
| ~ product(X_16339,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_1089680]) ).
tff(c_1089477,plain,
! [W_11,X_16311] :
( equalish(W_11,e_4)
| ~ product(X_16311,W_11,e_3)
| ~ product(X_16311,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1089420,c_120]) ).
tff(c_1091372,plain,
! [X_16339] :
( equalish(e_3,e_4)
| ~ product(X_16339,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1091370,c_1089477]) ).
tff(c_1091395,plain,
! [X_16339] : ~ product(X_16339,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_80,c_1091372]) ).
tff(c_1090981,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_1089680]) ).
tff(c_1091419,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1091395,c_1090981]) ).
tff(c_1091420,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_1087060]) ).
tff(c_1091464,plain,
product(e_4,e_2,e_2),
inference(splitLeft,[status(thm)],[c_1091420]) ).
tff(c_1091772,plain,
! [X_16345] :
( product(X_16345,e_4,e_2)
| ~ product(X_16345,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1091464,c_124]) ).
tff(c_1091780,plain,
( equalish(e_4,e_6)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1091772,c_1064201]) ).
tff(c_1091800,plain,
equalish(e_4,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_1083200,c_1091780]) ).
tff(c_1091802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1091800]) ).
tff(c_1091803,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_1091420]) ).
tff(c_1091805,plain,
product(e_4,e_2,e_4),
inference(splitLeft,[status(thm)],[c_1091803]) ).
tff(c_1083361,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1083200,c_122]) ).
tff(c_1091810,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1091805,c_1083361]) ).
tff(c_1091835,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1091810]) ).
tff(c_1091836,plain,
product(e_4,e_2,e_3),
inference(splitRight,[status(thm)],[c_1091803]) ).
tff(c_1092350,plain,
! [X_16358] :
( equalish(e_4,X_16358)
| ~ next(X_16358,e_2)
| product(X_16358,e_1,e_1)
| ~ group_element(X_16358) ),
inference(resolution,[status(thm)],[c_1091836,c_1886]) ).
tff(c_1092359,plain,
( equalish(e_4,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1092350,c_952984]) ).
tff(c_1092391,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1092359]) ).
tff(c_1092393,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_1092391]) ).
tff(c_1092394,plain,
product(e_2,e_4,e_4),
inference(splitRight,[status(thm)],[c_1083737]) ).
tff(c_1092400,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1092394,c_1083102]) ).
tff(c_1092421,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1092400]) ).
tff(c_1092422,plain,
( product(e_6,e_6,e_3)
| product(e_6,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_1064040]) ).
tff(c_1092424,plain,
product(e_6,e_6,e_4),
inference(splitLeft,[status(thm)],[c_1092422]) ).
tff(c_1092426,plain,
( product(e_6,e_4,e_6)
| product(e_4,e_6,e_5)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_1092424,c_219]) ).
tff(c_1092439,plain,
( product(e_6,e_4,e_6)
| product(e_4,e_6,e_5)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_54,c_1092426]) ).
tff(c_1094355,plain,
product(e_4,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1092439]) ).
tff(c_1094528,plain,
! [X_16400] :
( product(X_16400,e_4,e_1)
| ~ product(X_16400,e_6,e_4) ),
inference(resolution,[status(thm)],[c_1094355,c_124]) ).
tff(c_1094532,plain,
product(e_6,e_4,e_1),
inference(resolution,[status(thm)],[c_1092424,c_1094528]) ).
tff(c_1094686,plain,
! [X_16404] :
( product(X_16404,e_6,e_1)
| ~ product(X_16404,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1094532,c_124]) ).
tff(c_1094893,plain,
! [X_16412,X_16413] :
( product(X_16412,X_16413,e_1)
| ~ product(X_16412,e_6,X_16413)
| ~ product(X_16413,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1094686,c_124]) ).
tff(c_1094927,plain,
( product(e_4,e_1,e_1)
| ~ product(e_1,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1094355,c_1094893]) ).
tff(c_1094964,plain,
~ product(e_1,e_4,e_6),
inference(splitLeft,[status(thm)],[c_1094927]) ).
tff(c_1094967,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_1094964]) ).
tff(c_1094970,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_1094967]) ).
tff(c_1094972,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1094970]) ).
tff(c_1094554,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_1094532,c_122]) ).
tff(c_1094977,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1094972,c_1094554]) ).
tff(c_1094995,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1094977]) ).
tff(c_1094997,plain,
~ product(e_1,e_4,e_1),
inference(splitRight,[status(thm)],[c_1094970]) ).
tff(c_1092626,plain,
! [X_16364] :
( product(X_16364,e_6,e_4)
| ~ product(X_16364,e_6,e_6) ),
inference(resolution,[status(thm)],[c_1092424,c_124]) ).
tff(c_1092630,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_116,c_1092626]) ).
tff(c_1092633,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(X_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_1092630]) ).
tff(c_1094996,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_1094970]) ).
tff(c_1094998,plain,
product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_1094996]) ).
tff(c_1095022,plain,
! [W_16415] :
( equalish(W_16415,e_4)
| ~ product(e_1,W_16415,e_5) ),
inference(resolution,[status(thm)],[c_1094998,c_120]) ).
tff(c_1095029,plain,
( equalish(e_6,e_4)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1092633,c_1095022]) ).
tff(c_1095062,plain,
( equalish(e_6,e_4)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_1095029]) ).
tff(c_1095063,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_1095062]) ).
tff(c_1096083,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1095063]) ).
tff(c_1094396,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_1094355,c_122]) ).
tff(c_1096100,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_1096083,c_1094396]) ).
tff(c_1096126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_1096100]) ).
tff(c_1096127,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_1095063]) ).
tff(c_1096133,plain,
product(e_1,e_6,e_4),
inference(splitLeft,[status(thm)],[c_1096127]) ).
tff(c_1094394,plain,
! [X_18] :
( product(X_18,e_4,e_1)
| ~ product(X_18,e_6,e_4) ),
inference(resolution,[status(thm)],[c_1094355,c_124]) ).
tff(c_1096146,plain,
product(e_1,e_4,e_1),
inference(resolution,[status(thm)],[c_1096133,c_1094394]) ).
tff(c_1096176,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1094997,c_1096146]) ).
tff(c_1096177,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1096127]) ).
tff(c_1096179,plain,
product(e_1,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1096177]) ).
tff(c_1096191,plain,
( equalish(e_6,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1096179,c_1792]) ).
tff(c_1096212,plain,
( equalish(e_6,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1096191]) ).
tff(c_1096214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_106,c_1096212]) ).
tff(c_1096215,plain,
product(e_1,e_6,e_3),
inference(splitRight,[status(thm)],[c_1096177]) ).
tff(c_1096235,plain,
( equalish(e_6,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1096215,c_1885]) ).
tff(c_1096258,plain,
( equalish(e_6,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1096235]) ).
tff(c_1096260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_108,c_1096258]) ).
tff(c_1096261,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_1094996]) ).
tff(c_1096305,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_1096261]) ).
tff(c_1096307,plain,
( equalish(e_4,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1096305,c_1792]) ).
tff(c_1096322,plain,
( equalish(e_4,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1096307]) ).
tff(c_1096324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_86,c_1096322]) ).
tff(c_1096325,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_1096261]) ).
tff(c_1096373,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_1096325]) ).
tff(c_1096486,plain,
! [X_16441] :
( product(X_16441,e_1,e_4)
| ~ product(X_16441,e_4,e_1) ),
inference(resolution,[status(thm)],[c_1096373,c_124]) ).
tff(c_1096490,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_1094532,c_1096486]) ).
tff(c_1092445,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_6,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1092424,c_120]) ).
tff(c_1096499,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1096490,c_1092445]) ).
tff(c_1096539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1096499]) ).
tff(c_1096540,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_1096325]) ).
tff(c_1096543,plain,
( equalish(e_4,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1096540,c_1885]) ).
tff(c_1096560,plain,
( equalish(e_4,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1096543]) ).
tff(c_1096562,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_88,c_1096560]) ).
tff(c_1096563,plain,
product(e_4,e_1,e_1),
inference(splitRight,[status(thm)],[c_1094927]) ).
tff(c_1094395,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_4,W_11,e_1) ),
inference(resolution,[status(thm)],[c_1094355,c_120]) ).
tff(c_1096569,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1096563,c_1094395]) ).
tff(c_1096600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1096569]) ).
tff(c_1096601,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| product(e_6,e_4,e_6) ),
inference(splitRight,[status(thm)],[c_1092439]) ).
tff(c_1096603,plain,
product(e_6,e_4,e_6),
inference(splitLeft,[status(thm)],[c_1096601]) ).
tff(c_1096751,plain,
! [X_16448] :
( product(X_16448,e_6,e_6)
| ~ product(X_16448,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1096603,c_124]) ).
tff(c_1096653,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_6,W_11,e_6) ),
inference(resolution,[status(thm)],[c_1096603,c_120]) ).
tff(c_1096755,plain,
( equalish(e_6,e_4)
| ~ product(e_6,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1096751,c_1096653]) ).
tff(c_1096784,plain,
equalish(e_6,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_1096603,c_1096755]) ).
tff(c_1096786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_1096784]) ).
tff(c_1096787,plain,
( product(e_4,e_6,e_5)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1096601]) ).
tff(c_1096841,plain,
product(e_4,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1096787]) ).
tff(c_1097059,plain,
! [X_16456] :
( product(X_16456,e_4,e_2)
| ~ product(X_16456,e_6,e_4) ),
inference(resolution,[status(thm)],[c_1096841,c_124]) ).
tff(c_1097063,plain,
product(e_6,e_4,e_2),
inference(resolution,[status(thm)],[c_1092424,c_1097059]) ).
tff(c_1097247,plain,
! [X_16460] :
( product(X_16460,e_6,e_2)
| ~ product(X_16460,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1097063,c_124]) ).
tff(c_1097474,plain,
! [X_16469,X_16470] :
( product(X_16469,X_16470,e_2)
| ~ product(X_16469,e_6,X_16470)
| ~ product(X_16470,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1097247,c_124]) ).
tff(c_1097508,plain,
( product(e_4,e_2,e_2)
| ~ product(e_2,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1096841,c_1097474]) ).
tff(c_1097545,plain,
~ product(e_2,e_4,e_6),
inference(splitLeft,[status(thm)],[c_1097508]) ).
tff(c_1097548,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_1097545]) ).
tff(c_1097551,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_1097548]) ).
tff(c_1097553,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1097551]) ).
tff(c_1097699,plain,
! [X_16475] :
( product(X_16475,e_2,e_1)
| ~ product(X_16475,e_4,e_2) ),
inference(resolution,[status(thm)],[c_1097553,c_124]) ).
tff(c_1097703,plain,
product(e_6,e_2,e_1),
inference(resolution,[status(thm)],[c_1097063,c_1097699]) ).
tff(c_1097705,plain,
( product(e_6,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1097703,c_1884]) ).
tff(c_1097723,plain,
( product(e_6,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1097705]) ).
tff(c_1097724,plain,
product(e_6,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1097723]) ).
tff(c_1098417,plain,
! [X_16484] :
( product(X_16484,e_6,e_3)
| ~ product(X_16484,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1097724,c_124]) ).
tff(c_1099008,plain,
! [X_16503,X_16504] :
( product(X_16503,X_16504,e_3)
| ~ product(X_16503,e_6,X_16504)
| ~ product(X_16504,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1098417,c_124]) ).
tff(c_1099048,plain,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1096841,c_1099008]) ).
tff(c_1099082,plain,
~ product(e_2,e_1,e_6),
inference(splitLeft,[status(thm)],[c_1099048]) ).
tff(c_1099085,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_1099082]) ).
tff(c_1099088,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_1099085]) ).
tff(c_1099089,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1099088]) ).
tff(c_1099119,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1099089]) ).
tff(c_1097809,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1097724,c_122]) ).
tff(c_1099126,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1099119,c_1097809]) ).
tff(c_1099170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1099126]) ).
tff(c_1099172,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_1099089]) ).
tff(c_1099175,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_1099172]) ).
tff(c_1099178,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1099175]) ).
tff(c_1099180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1099178]) ).
tff(c_1099181,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_1097551]) ).
tff(c_1099183,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_1099181]) ).
tff(c_1099213,plain,
! [W_16507] :
( equalish(W_16507,e_4)
| ~ product(e_2,W_16507,e_5) ),
inference(resolution,[status(thm)],[c_1099183,c_120]) ).
tff(c_1099220,plain,
( equalish(e_6,e_4)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1092633,c_1099213]) ).
tff(c_1099253,plain,
( equalish(e_6,e_4)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1099220]) ).
tff(c_1099254,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_1099253]) ).
tff(c_1100045,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1099254]) ).
tff(c_1100357,plain,
! [X_16529] :
( product(X_16529,e_2,e_1)
| ~ product(X_16529,e_6,e_2) ),
inference(resolution,[status(thm)],[c_1100045,c_124]) ).
tff(c_1100365,plain,
product(e_4,e_2,e_1),
inference(resolution,[status(thm)],[c_1096841,c_1100357]) ).
tff(c_1100367,plain,
( product(e_4,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1100365,c_1884]) ).
tff(c_1100385,plain,
( product(e_4,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1100367]) ).
tff(c_1100386,plain,
product(e_4,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1100385]) ).
tff(c_1100474,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1100386,c_124]) ).
tff(c_1101045,plain,
! [X_16538] :
( product(X_16538,e_4,e_3)
| ~ product(X_16538,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1100386,c_124]) ).
tff(c_1101460,plain,
! [X_16554,X_16555] :
( product(X_16554,X_16555,e_3)
| ~ product(X_16554,e_4,X_16555)
| ~ product(X_16555,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1101045,c_124]) ).
tff(c_1101493,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1100474,c_1101460]) ).
tff(c_1101529,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1101493]) ).
tff(c_1101532,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_1101529]) ).
tff(c_1101535,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1101532]) ).
tff(c_1101547,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1101535]) ).
tff(c_1101555,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1101547,c_1790]) ).
tff(c_1101586,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1101555]) ).
tff(c_1101587,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1101586]) ).
tff(c_1101831,plain,
! [W_16558] :
( equalish(W_16558,e_1)
| ~ product(e_3,e_1,W_16558) ),
inference(resolution,[status(thm)],[c_1101547,c_118]) ).
tff(c_1101834,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_1101587,c_1101831]) ).
tff(c_1101941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1101834]) ).
tff(c_1101942,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_1101535]) ).
tff(c_1101980,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1101942]) ).
tff(c_1100477,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1100386,c_122]) ).
tff(c_1101985,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_1101980,c_1100477]) ).
tff(c_1102027,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_1101985]) ).
tff(c_1102028,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1101942]) ).
tff(c_1102746,plain,
! [X_16565] :
( product(X_16565,e_3,e_2)
| ~ product(X_16565,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1102028,c_124]) ).
tff(c_1096868,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_4,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1096841,c_120]) ).
tff(c_1102760,plain,
( equalish(e_3,e_6)
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1102746,c_1096868]) ).
tff(c_1102785,plain,
equalish(e_3,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_1100386,c_1102760]) ).
tff(c_1102787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_1102785]) ).
tff(c_1103095,plain,
! [X_16569] :
( product(X_16569,e_3,e_3)
| ~ product(X_16569,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_1101493]) ).
tff(c_1101095,plain,
! [W_11,X_16538] :
( equalish(W_11,e_4)
| ~ product(X_16538,W_11,e_3)
| ~ product(X_16538,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1101045,c_120]) ).
tff(c_1103097,plain,
! [X_16569] :
( equalish(e_3,e_4)
| ~ product(X_16569,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1103095,c_1101095]) ).
tff(c_1103120,plain,
! [X_16569] : ~ product(X_16569,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_80,c_1103097]) ).
tff(c_1102789,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_1101493]) ).
tff(c_1103144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1103120,c_1102789]) ).
tff(c_1103145,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_1099254]) ).
tff(c_1103147,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_1103145]) ).
tff(c_1092446,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_6,e_4) ),
inference(resolution,[status(thm)],[c_1092424,c_122]) ).
tff(c_1103165,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1103147,c_1092446]) ).
tff(c_1103193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1103165]) ).
tff(c_1103194,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1103145]) ).
tff(c_1103196,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1103194]) ).
tff(c_1096869,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_6,e_2) ),
inference(resolution,[status(thm)],[c_1096841,c_122]) ).
tff(c_1103335,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_1103196,c_1096869]) ).
tff(c_1103362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_1103335]) ).
tff(c_1103363,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_1103194]) ).
tff(c_1103384,plain,
( equalish(e_6,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1103363,c_312]) ).
tff(c_1103410,plain,
( equalish(e_6,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1103384]) ).
tff(c_1103412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_106,c_1103410]) ).
tff(c_1103413,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_1099181]) ).
tff(c_1103464,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_1103413]) ).
tff(c_1097091,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_2) ),
inference(resolution,[status(thm)],[c_1097063,c_122]) ).
tff(c_1103469,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1103464,c_1097091]) ).
tff(c_1103489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1103469]) ).
tff(c_1103490,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_1103413]) ).
tff(c_1103492,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_1103490]) ).
tff(c_1103606,plain,
! [X_16577] :
( product(X_16577,e_2,e_4)
| ~ product(X_16577,e_4,e_2) ),
inference(resolution,[status(thm)],[c_1103492,c_124]) ).
tff(c_1103610,plain,
product(e_6,e_2,e_4),
inference(resolution,[status(thm)],[c_1097063,c_1103606]) ).
tff(c_1103615,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1103610,c_1092445]) ).
tff(c_1103640,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1103615]) ).
tff(c_1103641,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_1103490]) ).
tff(c_1103648,plain,
( equalish(e_4,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1103641,c_312]) ).
tff(c_1103668,plain,
( equalish(e_4,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1103648]) ).
tff(c_1103670,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_86,c_1103668]) ).
tff(c_1103671,plain,
product(e_4,e_2,e_2),
inference(splitRight,[status(thm)],[c_1097508]) ).
tff(c_1103677,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1103671,c_1096868]) ).
tff(c_1103703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1103677]) ).
tff(c_1103704,plain,
( product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5) ),
inference(splitRight,[status(thm)],[c_1096787]) ).
tff(c_1103843,plain,
product(e_4,e_6,e_5),
inference(splitLeft,[status(thm)],[c_1103704]) ).
tff(c_1104060,plain,
! [W_16584,X_16585] :
( equalish(W_16584,e_1)
| ~ product(X_16585,W_16584,e_5)
| ~ next(X_16585,e_5)
| product(X_16585,e_1,e_4)
| product(X_16585,e_1,e_3)
| product(X_16585,e_1,e_2)
| product(X_16585,e_1,e_1)
| ~ group_element(X_16585) ),
inference(resolution,[status(thm)],[c_1888,c_120]) ).
tff(c_1104062,plain,
( equalish(e_6,e_1)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_1103843,c_1104060]) ).
tff(c_1104083,plain,
( equalish(e_6,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_1104062]) ).
tff(c_1104084,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_1104083]) ).
tff(c_1104642,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1104084]) ).
tff(c_1104648,plain,
( product(e_4,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1104642,c_1790]) ).
tff(c_1104676,plain,
( product(e_4,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1104648]) ).
tff(c_1104677,plain,
product(e_4,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1104676]) ).
tff(c_1104869,plain,
! [W_16602] :
( equalish(W_16602,e_1)
| ~ product(e_4,e_1,W_16602) ),
inference(resolution,[status(thm)],[c_1104642,c_118]) ).
tff(c_1104872,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_1104677,c_1104869]) ).
tff(c_1104979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1104872]) ).
tff(c_1104981,plain,
~ product(e_4,e_1,e_1),
inference(splitRight,[status(thm)],[c_1104084]) ).
tff(c_1104980,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_1104084]) ).
tff(c_1105018,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1104980]) ).
tff(c_1105330,plain,
! [X_16606] :
( product(X_16606,e_4,e_4)
| ~ product(X_16606,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1105018,c_124]) ).
tff(c_1105095,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1105018,c_120]) ).
tff(c_1105334,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1105330,c_1105095]) ).
tff(c_1105359,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1105018,c_1105334]) ).
tff(c_1105361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_1105359]) ).
tff(c_1105362,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_1104980]) ).
tff(c_1105371,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_1105362]) ).
tff(c_1106424,plain,
! [X_16628] :
( equalish(e_4,X_16628)
| ~ next(X_16628,e_2)
| product(X_16628,e_1,e_1)
| ~ group_element(X_16628) ),
inference(resolution,[status(thm)],[c_1105371,c_1793]) ).
tff(c_1106438,plain,
( equalish(e_4,e_1)
| ~ next(e_1,e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1106424,c_952984]) ).
tff(c_1106475,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1106438]) ).
tff(c_1106477,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_1106475]) ).
tff(c_1106479,plain,
~ product(e_4,e_1,e_2),
inference(splitRight,[status(thm)],[c_1105362]) ).
tff(c_1105363,plain,
~ product(e_4,e_1,e_4),
inference(splitRight,[status(thm)],[c_1104980]) ).
tff(c_1103867,plain,
! [W_16581] :
( equalish(W_16581,e_6)
| ~ product(e_4,W_16581,e_5) ),
inference(resolution,[status(thm)],[c_1103843,c_120]) ).
tff(c_1103902,plain,
( equalish(e_1,e_6)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_236,c_1103867]) ).
tff(c_1103929,plain,
( equalish(e_1,e_6)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_1103902]) ).
tff(c_1103930,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_1103929]) ).
tff(c_1106535,plain,
product(e_4,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_1104981,c_1106479,c_1105363,c_1103930]) ).
tff(c_1106610,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1106535,c_124]) ).
tff(c_1106919,plain,
! [X_16632] :
( product(X_16632,e_4,e_3)
| ~ product(X_16632,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1106535,c_124]) ).
tff(c_1107100,plain,
! [X_16639,X_16640] :
( product(X_16639,X_16640,e_3)
| ~ product(X_16639,e_4,X_16640)
| ~ product(X_16640,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1106919,c_124]) ).
tff(c_1107129,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1106610,c_1107100]) ).
tff(c_1107162,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1107129]) ).
tff(c_1107165,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_1107162]) ).
tff(c_1107168,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1107165]) ).
tff(c_1107169,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1107168]) ).
tff(c_1107177,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1107169,c_1790]) ).
tff(c_1107205,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1107177]) ).
tff(c_1107206,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1107205]) ).
tff(c_1107402,plain,
! [W_16642] :
( equalish(W_16642,e_1)
| ~ product(e_3,e_1,W_16642) ),
inference(resolution,[status(thm)],[c_1107169,c_118]) ).
tff(c_1107405,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_1107206,c_1107402]) ).
tff(c_1107512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1107405]) ).
tff(c_1107513,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_1107168]) ).
tff(c_1107553,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1107513]) ).
tff(c_1106613,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1106535,c_122]) ).
tff(c_1107558,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_1107553,c_1106613]) ).
tff(c_1107600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_1107558]) ).
tff(c_1107601,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1107513]) ).
tff(c_1107625,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1107601,c_311]) ).
tff(c_1107668,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1107625]) ).
tff(c_1107669,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1107668]) ).
tff(c_1108335,plain,
! [X_16650] :
( product(X_16650,e_3,e_3)
| ~ product(X_16650,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1107669,c_124]) ).
tff(c_1107735,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1107669,c_120]) ).
tff(c_1108339,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1108335,c_1107735]) ).
tff(c_1108364,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1107669,c_1108339]) ).
tff(c_1108366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1108364]) ).
tff(c_1108677,plain,
! [X_16654] :
( product(X_16654,e_3,e_3)
| ~ product(X_16654,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_1107129]) ).
tff(c_1106961,plain,
! [W_11,X_16632] :
( equalish(W_11,e_4)
| ~ product(X_16632,W_11,e_3)
| ~ product(X_16632,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1106919,c_120]) ).
tff(c_1108679,plain,
! [X_16654] :
( equalish(e_3,e_4)
| ~ product(X_16654,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1108677,c_1106961]) ).
tff(c_1108702,plain,
! [X_16654] : ~ product(X_16654,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_80,c_1108679]) ).
tff(c_1108368,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_1107129]) ).
tff(c_1108725,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1108702,c_1108368]) ).
tff(c_1108726,plain,
( product(e_4,e_6,e_4)
| product(e_4,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_1103704]) ).
tff(c_1108796,plain,
product(e_4,e_6,e_3),
inference(splitLeft,[status(thm)],[c_1108726]) ).
tff(c_1108995,plain,
! [X_16661] :
( product(X_16661,e_4,e_3)
| ~ product(X_16661,e_6,e_4) ),
inference(resolution,[status(thm)],[c_1108796,c_124]) ).
tff(c_1108999,plain,
product(e_6,e_4,e_3),
inference(resolution,[status(thm)],[c_1092424,c_1108995]) ).
tff(c_1109198,plain,
! [X_16665] :
( product(X_16665,e_6,e_3)
| ~ product(X_16665,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1108999,c_124]) ).
tff(c_1109432,plain,
! [X_16674,X_16675] :
( product(X_16674,X_16675,e_3)
| ~ product(X_16674,e_6,X_16675)
| ~ product(X_16675,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1109198,c_124]) ).
tff(c_1109466,plain,
( product(e_4,e_3,e_3)
| ~ product(e_3,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1108796,c_1109432]) ).
tff(c_1109495,plain,
~ product(e_3,e_4,e_6),
inference(splitLeft,[status(thm)],[c_1109466]) ).
tff(c_1109506,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_1109495]) ).
tff(c_1109509,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_50,c_1109506]) ).
tff(c_1109519,plain,
product(e_3,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1109509]) ).
tff(c_1109665,plain,
! [X_16681] :
( product(X_16681,e_3,e_1)
| ~ product(X_16681,e_4,e_3) ),
inference(resolution,[status(thm)],[c_1109519,c_124]) ).
tff(c_1109669,plain,
product(e_6,e_3,e_1),
inference(resolution,[status(thm)],[c_1108999,c_1109665]) ).
tff(c_1109944,plain,
! [X_16687] :
( product(X_16687,e_6,e_1)
| ~ product(X_16687,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1109669,c_124]) ).
tff(c_1109256,plain,
! [X_18,X_16665] :
( product(X_18,X_16665,e_3)
| ~ product(X_18,e_6,X_16665)
| ~ product(X_16665,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1109198,c_124]) ).
tff(c_1109990,plain,
! [X_16687] :
( product(X_16687,e_1,e_3)
| ~ product(e_1,e_4,e_6)
| ~ product(X_16687,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1109944,c_1109256]) ).
tff(c_1110241,plain,
~ product(e_1,e_4,e_6),
inference(splitLeft,[status(thm)],[c_1109990]) ).
tff(c_1110244,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_1110241]) ).
tff(c_1110247,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_1110244]) ).
tff(c_1110255,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1110247]) ).
tff(c_1109541,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_1109519,c_122]) ).
tff(c_1110260,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_1110255,c_1109541]) ).
tff(c_1110278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_1110260]) ).
tff(c_1110279,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_1110247]) ).
tff(c_1110281,plain,
product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_1110279]) ).
tff(c_1110532,plain,
! [X_16704] :
( product(X_16704,e_1,e_5)
| ~ product(X_16704,e_4,e_1) ),
inference(resolution,[status(thm)],[c_1110281,c_124]) ).
tff(c_1110536,plain,
product(e_3,e_1,e_5),
inference(resolution,[status(thm)],[c_1109519,c_1110532]) ).
tff(c_1110563,plain,
~ next(e_3,e_4),
inference(resolution,[status(thm)],[c_1110536,c_163]) ).
tff(c_1110619,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1110563]) ).
tff(c_1110620,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_1110279]) ).
tff(c_1110671,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_1110620]) ).
tff(c_1110673,plain,
( equalish(e_4,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1110671,c_1792]) ).
tff(c_1110688,plain,
( equalish(e_4,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1110673]) ).
tff(c_1110690,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_86,c_1110688]) ).
tff(c_1110691,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_1110620]) ).
tff(c_1110693,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_1110691]) ).
tff(c_1110839,plain,
! [X_16712] :
( product(X_16712,e_1,e_4)
| ~ product(X_16712,e_4,e_1) ),
inference(resolution,[status(thm)],[c_1110693,c_124]) ).
tff(c_1110843,plain,
product(e_3,e_1,e_4),
inference(resolution,[status(thm)],[c_1109519,c_1110839]) ).
tff(c_1110920,plain,
! [X_18] :
( product(X_18,e_3,e_4)
| ~ product(X_18,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1110843,c_124]) ).
tff(c_1111155,plain,
! [X_16716] :
( product(X_16716,e_3,e_4)
| ~ product(X_16716,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1110843,c_124]) ).
tff(c_1111336,plain,
! [X_16723,X_16724] :
( product(X_16723,X_16724,e_4)
| ~ product(X_16723,e_3,X_16724)
| ~ product(X_16724,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1111155,c_124]) ).
tff(c_1111365,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_1,e_3)
| ~ product(X_18,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1110920,c_1111336]) ).
tff(c_1111391,plain,
~ product(e_4,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1111365]) ).
tff(c_1096602,plain,
~ product(e_4,e_6,e_1),
inference(splitRight,[status(thm)],[c_1092439]) ).
tff(c_1109997,plain,
~ product(e_4,e_3,e_6),
inference(resolution,[status(thm)],[c_1109944,c_1096602]) ).
tff(c_1110027,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_1109997]) ).
tff(c_1110030,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_48,c_1110027]) ).
tff(c_1111398,plain,
product(e_4,e_3,e_1),
inference(splitLeft,[status(thm)],[c_1110030]) ).
tff(c_1109691,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_1109669,c_122]) ).
tff(c_1111408,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1111398,c_1109691]) ).
tff(c_1111429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1111408]) ).
tff(c_1111430,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_1110030]) ).
tff(c_1111439,plain,
product(e_4,e_3,e_5),
inference(splitLeft,[status(thm)],[c_1111430]) ).
tff(c_1111446,plain,
( equalish(e_3,e_1)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_1111439,c_1940]) ).
tff(c_1111464,plain,
( equalish(e_3,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_1111446]) ).
tff(c_1111465,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1111391,c_76,c_1111464]) ).
tff(c_1111912,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1111465]) ).
tff(c_1111924,plain,
( product(e_4,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1111912,c_1790]) ).
tff(c_1111959,plain,
( product(e_4,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1111924]) ).
tff(c_1111960,plain,
product(e_4,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1111959]) ).
tff(c_1112002,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1111960,c_311]) ).
tff(c_1112047,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1112002]) ).
tff(c_1112048,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1112047]) ).
tff(c_1108829,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_4,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1108796,c_120]) ).
tff(c_1112066,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1112048,c_1108829]) ).
tff(c_1112096,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1112066]) ).
tff(c_1112097,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_1111465]) ).
tff(c_1112135,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1112097]) ).
tff(c_1110923,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1110843,c_122]) ).
tff(c_1112140,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_1112135,c_1110923]) ).
tff(c_1112185,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_1112140]) ).
tff(c_1112186,plain,
product(e_4,e_1,e_2),
inference(splitRight,[status(thm)],[c_1112097]) ).
tff(c_1112274,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1112186,c_311]) ).
tff(c_1112321,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1112274]) ).
tff(c_1112322,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1112321]) ).
tff(c_1112340,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1112322,c_1108829]) ).
tff(c_1112370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1112340]) ).
tff(c_1112371,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_1111430]) ).
tff(c_1112415,plain,
product(e_4,e_3,e_2),
inference(splitLeft,[status(thm)],[c_1112371]) ).
tff(c_1111208,plain,
! [X_18,X_16716] :
( product(X_18,X_16716,e_4)
| ~ product(X_18,e_3,X_16716)
| ~ product(X_16716,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1111155,c_124]) ).
tff(c_1112435,plain,
( product(e_4,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1112415,c_1111208]) ).
tff(c_1112682,plain,
~ product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1112435]) ).
tff(c_1112685,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_1112682]) ).
tff(c_1112688,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1112685]) ).
tff(c_1112690,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1112688]) ).
tff(c_1112691,plain,
product(e_4,e_2,e_4),
inference(splitRight,[status(thm)],[c_1112435]) ).
tff(c_1113575,plain,
! [X_16752] :
( product(X_16752,e_4,e_4)
| ~ product(X_16752,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1112691,c_124]) ).
tff(c_1112912,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1112691,c_120]) ).
tff(c_1113579,plain,
( equalish(e_4,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1113575,c_1112912]) ).
tff(c_1113628,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1112691,c_1113579]) ).
tff(c_1113630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_1113628]) ).
tff(c_1113631,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_1112371]) ).
tff(c_1113633,plain,
product(e_4,e_3,e_4),
inference(splitLeft,[status(thm)],[c_1113631]) ).
tff(c_1113787,plain,
! [X_16758] :
( product(X_16758,e_4,e_4)
| ~ product(X_16758,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1113633,c_124]) ).
tff(c_1113676,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1113633,c_120]) ).
tff(c_1113791,plain,
( equalish(e_4,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1113787,c_1113676]) ).
tff(c_1113837,plain,
equalish(e_4,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_1113633,c_1113791]) ).
tff(c_1113839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_1113837]) ).
tff(c_1113840,plain,
product(e_4,e_3,e_3),
inference(splitRight,[status(thm)],[c_1113631]) ).
tff(c_1113855,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_1113840,c_1108829]) ).
tff(c_1113882,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_1113855]) ).
tff(c_1113884,plain,
product(e_4,e_1,e_3),
inference(splitRight,[status(thm)],[c_1111365]) ).
tff(c_1113891,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1113884,c_1108829]) ).
tff(c_1113938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1113891]) ).
tff(c_1113939,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_1110691]) ).
tff(c_1109033,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_4,e_3) ),
inference(resolution,[status(thm)],[c_1108999,c_122]) ).
tff(c_1113955,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1113939,c_1109033]) ).
tff(c_1113978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1113955]) ).
tff(c_1113980,plain,
product(e_1,e_4,e_6),
inference(splitRight,[status(thm)],[c_1109990]) ).
tff(c_1109219,plain,
! [X_16665] :
( equalish(e_6,e_2)
| ~ next(X_16665,e_2)
| product(X_16665,e_1,e_1)
| ~ group_element(X_16665)
| ~ product(X_16665,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1109198,c_1885]) ).
tff(c_1109245,plain,
! [X_16665] :
( ~ next(X_16665,e_2)
| product(X_16665,e_1,e_1)
| ~ group_element(X_16665)
| ~ product(X_16665,e_4,e_6) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_1109219]) ).
tff(c_1113989,plain,
( ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1113980,c_1109245]) ).
tff(c_1114019,plain,
product(e_1,e_1,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1113989]) ).
tff(c_1114021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_1114019]) ).
tff(c_1114022,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_1109509]) ).
tff(c_1114024,plain,
product(e_3,e_4,e_5),
inference(splitLeft,[status(thm)],[c_1114022]) ).
tff(c_1114087,plain,
! [W_16763] :
( equalish(W_16763,e_4)
| ~ product(e_3,W_16763,e_5) ),
inference(resolution,[status(thm)],[c_1114024,c_120]) ).
tff(c_1114094,plain,
( equalish(e_6,e_4)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1092633,c_1114087]) ).
tff(c_1114127,plain,
( equalish(e_6,e_4)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_1114094]) ).
tff(c_1114128,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_112,c_1114127]) ).
tff(c_1114844,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1114128]) ).
tff(c_1114870,plain,
( product(e_3,e_1,e_3)
| ~ product(e_1,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1114844,c_1109256]) ).
tff(c_1115180,plain,
~ product(e_1,e_4,e_6),
inference(splitLeft,[status(thm)],[c_1114870]) ).
tff(c_1115183,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_1115180]) ).
tff(c_1115186,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_1115183]) ).
tff(c_1115447,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1115186]) ).
tff(c_1115747,plain,
! [X_16802] :
( product(X_16802,e_1,e_1)
| ~ product(X_16802,e_4,e_1) ),
inference(resolution,[status(thm)],[c_1115447,c_124]) ).
tff(c_1115750,plain,
product(e_1,e_1,e_1),
inference(resolution,[status(thm)],[c_1115447,c_1115747]) ).
tff(c_1115757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_1115750]) ).
tff(c_1115758,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_1115186]) ).
tff(c_1115764,plain,
product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_1115758]) ).
tff(c_1114085,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_4,e_5) ),
inference(resolution,[status(thm)],[c_1114024,c_122]) ).
tff(c_1115774,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_1115764,c_1114085]) ).
tff(c_1115797,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_1115774]) ).
tff(c_1115798,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_1115758]) ).
tff(c_1115842,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_1115798]) ).
tff(c_1115971,plain,
( equalish(e_4,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1115842,c_1792]) ).
tff(c_1115989,plain,
( equalish(e_4,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1115971]) ).
tff(c_1115991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_86,c_1115989]) ).
tff(c_1115992,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_1115798]) ).
tff(c_1115994,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_1115992]) ).
tff(c_1116010,plain,
( product(e_1,e_4,e_6)
| product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_1115994,c_219]) ).
tff(c_1116031,plain,
( product(e_1,e_4,e_6)
| product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_1116010]) ).
tff(c_1116032,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1115180,c_1116031]) ).
tff(c_1117385,plain,
product(e_4,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1116032]) ).
tff(c_1115026,plain,
! [X_16783] :
( product(X_16783,e_3,e_1)
| ~ product(X_16783,e_6,e_3) ),
inference(resolution,[status(thm)],[c_1114844,c_124]) ).
tff(c_1115034,plain,
product(e_4,e_3,e_1),
inference(resolution,[status(thm)],[c_1108796,c_1115026]) ).
tff(c_1115055,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_4,W_11,e_1) ),
inference(resolution,[status(thm)],[c_1115034,c_120]) ).
tff(c_1117400,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_1117385,c_1115055]) ).
tff(c_1117423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_1117400]) ).
tff(c_1117424,plain,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_1116032]) ).
tff(c_1117584,plain,
product(e_4,e_4,e_5),
inference(splitLeft,[status(thm)],[c_1117424]) ).
tff(c_1117597,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_1117584,c_1114085]) ).
tff(c_1117623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_1117597]) ).
tff(c_1117624,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_1117424]) ).
tff(c_1117675,plain,
product(e_4,e_4,e_2),
inference(splitLeft,[status(thm)],[c_1117624]) ).
tff(c_1114268,plain,
! [X_16766] :
( product(X_16766,e_3,e_5)
| ~ product(X_16766,e_4,e_3) ),
inference(resolution,[status(thm)],[c_1114024,c_124]) ).
tff(c_1114272,plain,
product(e_6,e_3,e_5),
inference(resolution,[status(thm)],[c_1108999,c_1114268]) ).
tff(c_1114488,plain,
! [X_16770] :
( product(X_16770,e_6,e_5)
| ~ product(X_16770,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1114272,c_124]) ).
tff(c_1114539,plain,
! [X_16770] :
( product(X_16770,e_5,e_3)
| ~ product(e_5,e_4,e_6)
| ~ product(X_16770,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1114488,c_1109256]) ).
tff(c_1114830,plain,
~ product(e_5,e_4,e_6),
inference(splitLeft,[status(thm)],[c_1114539]) ).
tff(c_1114833,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_1114830]) ).
tff(c_1114836,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_50,c_1114833]) ).
tff(c_1116258,plain,
product(e_5,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1114836]) ).
tff(c_1116753,plain,
! [X_16822] :
( product(X_16822,e_5,e_1)
| ~ product(X_16822,e_4,e_5) ),
inference(resolution,[status(thm)],[c_1116258,c_124]) ).
tff(c_1114881,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_1) ),
inference(resolution,[status(thm)],[c_1114844,c_120]) ).
tff(c_1116767,plain,
( equalish(e_5,e_6)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[c_1116753,c_1114881]) ).
tff(c_1116791,plain,
equalish(e_5,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_1114024,c_1116767]) ).
tff(c_1116793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1116791]) ).
tff(c_1116794,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_1114836]) ).
tff(c_1116807,plain,
product(e_5,e_4,e_5),
inference(splitLeft,[status(thm)],[c_1116794]) ).
tff(c_1116817,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_1116807,c_1114085]) ).
tff(c_1116840,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_1116817]) ).
tff(c_1116841,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_1116794]) ).
tff(c_1116885,plain,
product(e_5,e_4,e_2),
inference(splitLeft,[status(thm)],[c_1116841]) ).
tff(c_1116921,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_4,e_2) ),
inference(resolution,[status(thm)],[c_1116885,c_122]) ).
tff(c_1117680,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_1117675,c_1116921]) ).
tff(c_1117705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_1117680]) ).
tff(c_1117706,plain,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_1117624]) ).
tff(c_1117708,plain,
product(e_4,e_4,e_4),
inference(splitLeft,[status(thm)],[c_1117706]) ).
tff(c_1116039,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_4,e_4) ),
inference(resolution,[status(thm)],[c_1115994,c_122]) ).
tff(c_1117711,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_1117708,c_1116039]) ).
tff(c_1117734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_1117711]) ).
tff(c_1117735,plain,
product(e_4,e_4,e_3),
inference(splitRight,[status(thm)],[c_1117706]) ).
tff(c_1117749,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1117735,c_1109033]) ).
tff(c_1117780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1117749]) ).
tff(c_1117781,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_1116841]) ).
tff(c_1117790,plain,
product(e_5,e_4,e_4),
inference(splitLeft,[status(thm)],[c_1117781]) ).
tff(c_1117793,plain,
equalish(e_5,e_1),
inference(resolution,[status(thm)],[c_1117790,c_1116039]) ).
tff(c_1117816,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_1117793]) ).
tff(c_1117817,plain,
product(e_5,e_4,e_3),
inference(splitRight,[status(thm)],[c_1117781]) ).
tff(c_1117831,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_1117817,c_1109033]) ).
tff(c_1117857,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1117831]) ).
tff(c_1117858,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_1115992]) ).
tff(c_1117994,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1117858,c_1109033]) ).
tff(c_1118020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1117994]) ).
tff(c_1118022,plain,
product(e_1,e_4,e_6),
inference(splitRight,[status(thm)],[c_1114870]) ).
tff(c_1118205,plain,
( ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1118022,c_1109245]) ).
tff(c_1118235,plain,
product(e_1,e_1,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1118205]) ).
tff(c_1118237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_1118235]) ).
tff(c_1118238,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_1114128]) ).
tff(c_1118240,plain,
product(e_3,e_6,e_4),
inference(splitLeft,[status(thm)],[c_1118238]) ).
tff(c_1118258,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_1118240,c_1092446]) ).
tff(c_1118286,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_1118258]) ).
tff(c_1118287,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1118238]) ).
tff(c_1118289,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1118287]) ).
tff(c_1118317,plain,
( product(e_3,e_2,e_3)
| ~ product(e_2,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1118289,c_1109256]) ).
tff(c_1118685,plain,
~ product(e_2,e_4,e_6),
inference(splitLeft,[status(thm)],[c_1118317]) ).
tff(c_1118501,plain,
! [X_16850] :
( product(X_16850,e_3,e_2)
| ~ product(X_16850,e_6,e_3) ),
inference(resolution,[status(thm)],[c_1118289,c_124]) ).
tff(c_1118509,plain,
product(e_4,e_3,e_2),
inference(resolution,[status(thm)],[c_1108796,c_1118501]) ).
tff(c_1118692,plain,
! [X_16854] :
( product(X_16854,e_4,e_2)
| ~ product(X_16854,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1118509,c_124]) ).
tff(c_1118906,plain,
! [X_16862,X_16863] :
( product(X_16862,X_16863,e_2)
| ~ product(X_16862,e_4,X_16863)
| ~ product(X_16863,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1118692,c_124]) ).
tff(c_1118938,plain,
( product(e_3,e_5,e_2)
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1114024,c_1118906]) ).
tff(c_1118964,plain,
~ product(e_5,e_3,e_4),
inference(splitLeft,[status(thm)],[c_1118938]) ).
tff(c_1114298,plain,
! [X_18] :
( product(X_18,e_6,e_5)
| ~ product(X_18,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1114272,c_124]) ).
tff(c_1114765,plain,
! [X_16778,X_16779] :
( product(X_16778,X_16779,e_5)
| ~ product(X_16778,e_6,X_16779)
| ~ product(X_16779,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1114488,c_124]) ).
tff(c_1114800,plain,
! [X_18] :
( product(X_18,e_5,e_5)
| ~ product(e_5,e_3,e_6)
| ~ product(X_18,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1114298,c_1114765]) ).
tff(c_1114837,plain,
~ product(e_5,e_3,e_6),
inference(splitLeft,[status(thm)],[c_1114800]) ).
tff(c_1114840,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_1114837]) ).
tff(c_1114843,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_48,c_1114840]) ).
tff(c_1121750,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1118964,c_1114843]) ).
tff(c_1121751,plain,
product(e_5,e_3,e_1),
inference(splitLeft,[status(thm)],[c_1121750]) ).
tff(c_1121772,plain,
! [X_18] :
( product(X_18,e_5,e_1)
| ~ product(X_18,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1121751,c_124]) ).
tff(c_1121898,plain,
! [X_16922] :
( product(X_16922,e_5,e_1)
| ~ product(X_16922,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1121751,c_124]) ).
tff(c_1122205,plain,
! [X_16930,X_16931] :
( product(X_16930,X_16931,e_1)
| ~ product(X_16930,e_5,X_16931)
| ~ product(X_16931,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1121898,c_124]) ).
tff(c_1122234,plain,
! [X_18] :
( product(X_18,e_1,e_1)
| ~ product(e_1,e_3,e_5)
| ~ product(X_18,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1121772,c_1122205]) ).
tff(c_1122298,plain,
~ product(e_1,e_3,e_5),
inference(splitLeft,[status(thm)],[c_1122234]) ).
tff(c_1119259,plain,
product(e_5,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1114836]) ).
tff(c_1118688,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_1118685]) ).
tff(c_1118691,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_1118688]) ).
tff(c_1119091,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1118691]) ).
tff(c_1119123,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_1119091,c_122]) ).
tff(c_1119262,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_1119259,c_1119123]) ).
tff(c_1119283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_1119262]) ).
tff(c_1119284,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_1114836]) ).
tff(c_1119286,plain,
product(e_5,e_4,e_5),
inference(splitLeft,[status(thm)],[c_1119284]) ).
tff(c_1119303,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_1119286,c_1114085]) ).
tff(c_1119326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_1119303]) ).
tff(c_1119327,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_1119284]) ).
tff(c_1119371,plain,
product(e_5,e_4,e_2),
inference(splitLeft,[status(thm)],[c_1119327]) ).
tff(c_1120368,plain,
! [X_16887] :
( product(X_16887,e_5,e_2)
| ~ product(X_16887,e_4,e_5) ),
inference(resolution,[status(thm)],[c_1119371,c_124]) ).
tff(c_1118332,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1118289,c_120]) ).
tff(c_1120382,plain,
( equalish(e_5,e_6)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[c_1120368,c_1118332]) ).
tff(c_1120407,plain,
equalish(e_5,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_1114024,c_1120382]) ).
tff(c_1120409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1120407]) ).
tff(c_1120410,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_1119327]) ).
tff(c_1120416,plain,
product(e_5,e_4,e_4),
inference(splitLeft,[status(thm)],[c_1120410]) ).
tff(c_1120551,plain,
! [X_16893] :
( product(X_16893,e_5,e_4)
| ~ product(X_16893,e_4,e_5) ),
inference(resolution,[status(thm)],[c_1120416,c_124]) ).
tff(c_1120589,plain,
! [X_18,X_16893] :
( product(X_18,X_16893,e_4)
| ~ product(X_18,e_5,X_16893)
| ~ product(X_16893,e_4,e_5) ),
inference(resolution,[status(thm)],[c_1120551,c_124]) ).
tff(c_1121927,plain,
! [X_16922] :
( product(X_16922,e_1,e_4)
| ~ product(e_1,e_4,e_5)
| ~ product(X_16922,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1121898,c_1120589]) ).
tff(c_1122261,plain,
~ product(e_1,e_4,e_5),
inference(splitLeft,[status(thm)],[c_1121927]) ).
tff(c_1122130,plain,
! [W_16928,X_16929] :
( equalish(W_16928,e_1)
| ~ product(X_16929,e_5,W_16928)
| ~ product(X_16929,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1121898,c_118]) ).
tff(c_1122148,plain,
( equalish(e_5,e_1)
| ~ product(e_6,e_3,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_1005560,c_1122130]) ).
tff(c_1122183,plain,
( equalish(e_5,e_1)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1114272,c_1122148]) ).
tff(c_1122184,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_1122183]) ).
tff(c_1122384,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1122184]) ).
tff(c_1122587,plain,
! [X_16935] :
( product(X_16935,e_6,e_1)
| ~ product(X_16935,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1122384,c_124]) ).
tff(c_1122665,plain,
! [X_16935] :
( product(X_16935,e_1,e_3)
| ~ product(e_1,e_4,e_6)
| ~ product(X_16935,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1122587,c_1109256]) ).
tff(c_1123031,plain,
~ product(e_1,e_4,e_6),
inference(splitLeft,[status(thm)],[c_1122665]) ).
tff(c_1123034,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_1123031]) ).
tff(c_1123037,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_50,c_1123034]) ).
tff(c_1123038,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1122261,c_1123037]) ).
tff(c_1125118,plain,
product(e_1,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1123038]) ).
tff(c_1125127,plain,
equalish(e_1,e_2),
inference(resolution,[status(thm)],[c_1125118,c_1119123]) ).
tff(c_1125154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_1125127]) ).
tff(c_1125155,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_1123038]) ).
tff(c_1125158,plain,
product(e_1,e_4,e_4),
inference(splitLeft,[status(thm)],[c_1125155]) ).
tff(c_1120461,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_4,e_4) ),
inference(resolution,[status(thm)],[c_1120416,c_122]) ).
tff(c_1125163,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_1125158,c_1120461]) ).
tff(c_1125188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_1125163]) ).
tff(c_1125189,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_1125155]) ).
tff(c_1125198,plain,
product(e_1,e_4,e_2),
inference(splitLeft,[status(thm)],[c_1125189]) ).
tff(c_1125212,plain,
( equalish(e_4,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1125198,c_1792]) ).
tff(c_1125234,plain,
( equalish(e_4,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1125212]) ).
tff(c_1125236,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_86,c_1125234]) ).
tff(c_1125237,plain,
product(e_1,e_4,e_3),
inference(splitRight,[status(thm)],[c_1125189]) ).
tff(c_1114083,plain,
! [X_18] :
( product(X_18,e_3,e_5)
| ~ product(X_18,e_4,e_3) ),
inference(resolution,[status(thm)],[c_1114024,c_124]) ).
tff(c_1125250,plain,
product(e_1,e_3,e_5),
inference(resolution,[status(thm)],[c_1125237,c_1114083]) ).
tff(c_1125278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1122298,c_1125250]) ).
tff(c_1125280,plain,
product(e_1,e_4,e_6),
inference(splitRight,[status(thm)],[c_1122665]) ).
tff(c_1125303,plain,
( ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1125280,c_1109245]) ).
tff(c_1125346,plain,
product(e_1,e_1,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1125303]) ).
tff(c_1125348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_1125346]) ).
tff(c_1125350,plain,
product(e_1,e_3,e_5),
inference(splitRight,[status(thm)],[c_1122234]) ).
tff(c_1114300,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1114272,c_122]) ).
tff(c_1125355,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1125350,c_1114300]) ).
tff(c_1125376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1125355]) ).
tff(c_1125378,plain,
product(e_1,e_4,e_5),
inference(splitRight,[status(thm)],[c_1121927]) ).
tff(c_1125391,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_1125378,c_1114085]) ).
tff(c_1125416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_1125391]) ).
tff(c_1125417,plain,
product(e_5,e_4,e_3),
inference(splitRight,[status(thm)],[c_1120410]) ).
tff(c_1125438,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_1125417,c_1109033]) ).
tff(c_1125464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1125438]) ).
tff(c_1125465,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_1118691]) ).
tff(c_1125467,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_1125465]) ).
tff(c_1125477,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_1125467,c_1114085]) ).
tff(c_1125500,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_1125477]) ).
tff(c_1125501,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_1125465]) ).
tff(c_1125545,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_1125501]) ).
tff(c_1125755,plain,
! [X_16994] :
( product(X_16994,e_2,e_2)
| ~ product(X_16994,e_4,e_2) ),
inference(resolution,[status(thm)],[c_1125545,c_124]) ).
tff(c_1125762,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_1125545,c_1125755]) ).
tff(c_1125588,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1125545,c_120]) ).
tff(c_1125766,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_1125762,c_1125588]) ).
tff(c_1125791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_1125766]) ).
tff(c_1125792,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_1125501]) ).
tff(c_1125798,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_1125792]) ).
tff(c_1125807,plain,
( product(e_2,e_4,e_6)
| product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_1125798,c_219]) ).
tff(c_1125828,plain,
( product(e_2,e_4,e_6)
| product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_1125807]) ).
tff(c_1125829,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1118685,c_1125828]) ).
tff(c_1126518,plain,
product(e_4,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1125829]) ).
tff(c_1125933,plain,
product(e_5,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1114836]) ).
tff(c_1125963,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_4,e_1) ),
inference(resolution,[status(thm)],[c_1125933,c_122]) ).
tff(c_1126523,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_1126518,c_1125963]) ).
tff(c_1126547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_1126523]) ).
tff(c_1126548,plain,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_1125829]) ).
tff(c_1126550,plain,
product(e_4,e_4,e_5),
inference(splitLeft,[status(thm)],[c_1126548]) ).
tff(c_1126644,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_1126550,c_1114085]) ).
tff(c_1126667,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_1126644]) ).
tff(c_1126668,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_1126548]) ).
tff(c_1126719,plain,
product(e_4,e_4,e_2),
inference(splitLeft,[status(thm)],[c_1126668]) ).
tff(c_1118536,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_4,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1118509,c_120]) ).
tff(c_1126734,plain,
equalish(e_4,e_3),
inference(resolution,[status(thm)],[c_1126719,c_1118536]) ).
tff(c_1126759,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90,c_1126734]) ).
tff(c_1126760,plain,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_1126668]) ).
tff(c_1126766,plain,
product(e_4,e_4,e_4),
inference(splitLeft,[status(thm)],[c_1126760]) ).
tff(c_1125836,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_4,e_4) ),
inference(resolution,[status(thm)],[c_1125798,c_122]) ).
tff(c_1126769,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_1126766,c_1125836]) ).
tff(c_1126792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_1126769]) ).
tff(c_1126793,plain,
product(e_4,e_4,e_3),
inference(splitRight,[status(thm)],[c_1126760]) ).
tff(c_1126807,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1126793,c_1109033]) ).
tff(c_1126838,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1126807]) ).
tff(c_1126839,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_1114836]) ).
tff(c_1126848,plain,
product(e_5,e_4,e_5),
inference(splitLeft,[status(thm)],[c_1126839]) ).
tff(c_1126858,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_1126848,c_1114085]) ).
tff(c_1126881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_1126858]) ).
tff(c_1126882,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_1126839]) ).
tff(c_1126926,plain,
product(e_5,e_4,e_2),
inference(splitLeft,[status(thm)],[c_1126882]) ).
tff(c_1127489,plain,
! [X_17026] :
( product(X_17026,e_5,e_2)
| ~ product(X_17026,e_4,e_5) ),
inference(resolution,[status(thm)],[c_1126926,c_124]) ).
tff(c_1127503,plain,
( equalish(e_5,e_6)
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[c_1127489,c_1118332]) ).
tff(c_1127528,plain,
equalish(e_5,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_1114024,c_1127503]) ).
tff(c_1127530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1127528]) ).
tff(c_1127531,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_1126882]) ).
tff(c_1127537,plain,
product(e_5,e_4,e_4),
inference(splitLeft,[status(thm)],[c_1127531]) ).
tff(c_1127540,plain,
equalish(e_5,e_2),
inference(resolution,[status(thm)],[c_1127537,c_1125836]) ).
tff(c_1127563,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98,c_1127540]) ).
tff(c_1127564,plain,
product(e_5,e_4,e_3),
inference(splitRight,[status(thm)],[c_1127531]) ).
tff(c_1127578,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_1127564,c_1109033]) ).
tff(c_1127604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1127578]) ).
tff(c_1127605,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_1125792]) ).
tff(c_1127619,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1127605,c_1109033]) ).
tff(c_1127645,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1127619]) ).
tff(c_1127647,plain,
product(e_2,e_4,e_6),
inference(splitRight,[status(thm)],[c_1118317]) ).
tff(c_1109223,plain,
! [X_16665] :
( equalish(e_6,e_1)
| ~ next(X_16665,e_3)
| product(X_16665,e_1,e_2)
| product(X_16665,e_1,e_1)
| ~ group_element(X_16665)
| ~ product(X_16665,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1109198,c_312]) ).
tff(c_1109251,plain,
! [X_16665] :
( ~ next(X_16665,e_3)
| product(X_16665,e_1,e_2)
| product(X_16665,e_1,e_1)
| ~ group_element(X_16665)
| ~ product(X_16665,e_4,e_6) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_1109223]) ).
tff(c_1127706,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1127647,c_1109251]) ).
tff(c_1127735,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1127706]) ).
tff(c_1127737,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1127735]) ).
tff(c_1127738,plain,
product(e_3,e_6,e_3),
inference(splitRight,[status(thm)],[c_1118287]) ).
tff(c_1108830,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_6,e_3) ),
inference(resolution,[status(thm)],[c_1108796,c_122]) ).
tff(c_1127757,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_1127738,c_1108830]) ).
tff(c_1127786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_1127757]) ).
tff(c_1127788,plain,
product(e_5,e_4,e_6),
inference(splitRight,[status(thm)],[c_1114539]) ).
tff(c_1109354,plain,
! [W_16669,X_16670] :
( equalish(W_16669,X_16670)
| ~ product(W_16669,e_6,e_3)
| ~ product(X_16670,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1109198,c_122]) ).
tff(c_1109360,plain,
! [X_16670] :
( equalish(e_4,X_16670)
| ~ product(X_16670,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1108796,c_1109354]) ).
tff(c_1127800,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_1127788,c_1109360]) ).
tff(c_1127830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_1127800]) ).
tff(c_1127831,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_1114022]) ).
tff(c_1127875,plain,
product(e_3,e_4,e_2),
inference(splitLeft,[status(thm)],[c_1127831]) ).
tff(c_1128084,plain,
! [X_17032] :
( product(X_17032,e_3,e_2)
| ~ product(X_17032,e_4,e_3) ),
inference(resolution,[status(thm)],[c_1127875,c_124]) ).
tff(c_1128088,plain,
product(e_6,e_3,e_2),
inference(resolution,[status(thm)],[c_1108999,c_1128084]) ).
tff(c_1128272,plain,
! [X_17036] :
( product(X_17036,e_6,e_2)
| ~ product(X_17036,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1128088,c_124]) ).
tff(c_1128320,plain,
! [X_17036] :
( product(X_17036,e_2,e_3)
| ~ product(e_2,e_4,e_6)
| ~ product(X_17036,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1128272,c_1109256]) ).
tff(c_1128524,plain,
~ product(e_2,e_4,e_6),
inference(splitLeft,[status(thm)],[c_1128320]) ).
tff(c_1128592,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_1128524]) ).
tff(c_1128595,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_50,c_1128592]) ).
tff(c_1128611,plain,
product(e_2,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1128595]) ).
tff(c_1128757,plain,
! [X_17050] :
( product(X_17050,e_2,e_1)
| ~ product(X_17050,e_4,e_2) ),
inference(resolution,[status(thm)],[c_1128611,c_124]) ).
tff(c_1128761,plain,
product(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c_1127875,c_1128757]) ).
tff(c_1128763,plain,
( product(e_3,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1128761,c_1884]) ).
tff(c_1128781,plain,
( product(e_3,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1128763]) ).
tff(c_1128782,plain,
product(e_3,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1128781]) ).
tff(c_1129589,plain,
! [X_17058] :
( product(X_17058,e_3,e_3)
| ~ product(X_17058,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1128782,c_124]) ).
tff(c_1128876,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1128782,c_120]) ).
tff(c_1129593,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1129589,c_1128876]) ).
tff(c_1129626,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1128782,c_1129593]) ).
tff(c_1129628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1129626]) ).
tff(c_1129629,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(splitRight,[status(thm)],[c_1128595]) ).
tff(c_1129638,plain,
product(e_2,e_4,e_5),
inference(splitLeft,[status(thm)],[c_1129629]) ).
tff(c_1129849,plain,
! [X_17064] :
( product(X_17064,e_2,e_5)
| ~ product(X_17064,e_4,e_2) ),
inference(resolution,[status(thm)],[c_1129638,c_124]) ).
tff(c_1129853,plain,
product(e_3,e_2,e_5),
inference(resolution,[status(thm)],[c_1127875,c_1129849]) ).
tff(c_1130143,plain,
! [X_17068] :
( product(X_17068,e_3,e_5)
| ~ product(X_17068,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1129853,c_124]) ).
tff(c_1128117,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_6,e_3,W_8) ),
inference(resolution,[status(thm)],[c_1128088,c_118]) ).
tff(c_1130155,plain,
( equalish(e_5,e_2)
| ~ product(e_6,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1130143,c_1128117]) ).
tff(c_1130178,plain,
~ product(e_6,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_98,c_1130155]) ).
tff(c_1130087,plain,
! [W_17067] :
( equalish(W_17067,e_3)
| ~ product(W_17067,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1129853,c_122]) ).
tff(c_1130102,plain,
( equalish(e_6,e_3)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1005560,c_1130087]) ).
tff(c_1130129,plain,
( equalish(e_6,e_3)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1130102]) ).
tff(c_1130130,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_110,c_1130129]) ).
tff(c_1130950,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1130178,c_1130130]) ).
tff(c_1130951,plain,
product(e_6,e_2,e_1),
inference(splitLeft,[status(thm)],[c_1130950]) ).
tff(c_1130953,plain,
( product(e_6,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1130951,c_1884]) ).
tff(c_1130971,plain,
( product(e_6,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1130953]) ).
tff(c_1130972,plain,
product(e_6,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1130971]) ).
tff(c_1109032,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_6,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1108999,c_120]) ).
tff(c_1130994,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_1130972,c_1109032]) ).
tff(c_1131040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_1130994]) ).
tff(c_1131041,plain,
( product(e_6,e_2,e_2)
| product(e_6,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_1130950]) ).
tff(c_1131051,plain,
product(e_6,e_2,e_4),
inference(splitLeft,[status(thm)],[c_1131041]) ).
tff(c_1131056,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1131051,c_1092445]) ).
tff(c_1131081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1131056]) ).
tff(c_1131082,plain,
product(e_6,e_2,e_2),
inference(splitRight,[status(thm)],[c_1131041]) ).
tff(c_1128115,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_6,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1128088,c_120]) ).
tff(c_1131088,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_1131082,c_1128115]) ).
tff(c_1131113,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_1131088]) ).
tff(c_1131114,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_1129629]) ).
tff(c_1131165,plain,
product(e_2,e_4,e_2),
inference(splitLeft,[status(thm)],[c_1131114]) ).
tff(c_1127936,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_4,e_2) ),
inference(resolution,[status(thm)],[c_1127875,c_122]) ).
tff(c_1131170,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_1131165,c_1127936]) ).
tff(c_1131190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_1131170]) ).
tff(c_1131191,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_1131114]) ).
tff(c_1131193,plain,
product(e_2,e_4,e_4),
inference(splitLeft,[status(thm)],[c_1131191]) ).
tff(c_1131428,plain,
! [X_17091] :
( product(X_17091,e_2,e_4)
| ~ product(X_17091,e_4,e_2) ),
inference(resolution,[status(thm)],[c_1131193,c_124]) ).
tff(c_1131432,plain,
product(e_3,e_2,e_4),
inference(resolution,[status(thm)],[c_1127875,c_1131428]) ).
tff(c_1131434,plain,
( equalish(e_2,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1131432,c_954056]) ).
tff(c_1131454,plain,
( equalish(e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1131434]) ).
tff(c_1131455,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_1131454]) ).
tff(c_1131950,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1131455]) ).
tff(c_1131960,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1131950,c_1790]) ).
tff(c_1131993,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1131960]) ).
tff(c_1131994,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1131993]) ).
tff(c_1127935,plain,
! [W_11] :
( equalish(W_11,e_4)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1127875,c_120]) ).
tff(c_1132073,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_1131994,c_1127935]) ).
tff(c_1132114,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_1132073]) ).
tff(c_1132115,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_1131455]) ).
tff(c_1132153,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1132115]) ).
tff(c_1132555,plain,
! [X_17106] :
( product(X_17106,e_3,e_3)
| ~ product(X_17106,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1132153,c_124]) ).
tff(c_1132242,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1132153,c_120]) ).
tff(c_1132559,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1132555,c_1132242]) ).
tff(c_1132595,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1132153,c_1132559]) ).
tff(c_1132597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1132595]) ).
tff(c_1132598,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1132115]) ).
tff(c_1132613,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_1132598,c_1127935]) ).
tff(c_1132654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_1132613]) ).
tff(c_1132655,plain,
product(e_2,e_4,e_3),
inference(splitRight,[status(thm)],[c_1131191]) ).
tff(c_1132664,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1132655,c_1109033]) ).
tff(c_1132687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1132664]) ).
tff(c_1132689,plain,
product(e_2,e_4,e_6),
inference(splitRight,[status(thm)],[c_1128320]) ).
tff(c_1132695,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1132689,c_1109251]) ).
tff(c_1132724,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1132695]) ).
tff(c_1132726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1132724]) ).
tff(c_1132727,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_1127831]) ).
tff(c_1132762,plain,
product(e_3,e_4,e_4),
inference(splitLeft,[status(thm)],[c_1132727]) ).
tff(c_1132875,plain,
! [X_17112] :
( product(X_17112,e_3,e_4)
| ~ product(X_17112,e_4,e_3) ),
inference(resolution,[status(thm)],[c_1132762,c_124]) ).
tff(c_1132879,plain,
product(e_6,e_3,e_4),
inference(resolution,[status(thm)],[c_1108999,c_1132875]) ).
tff(c_1132884,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_1132879,c_1092445]) ).
tff(c_1132904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_1132884]) ).
tff(c_1132905,plain,
product(e_3,e_4,e_3),
inference(splitRight,[status(thm)],[c_1132727]) ).
tff(c_1133032,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_1132905,c_1109033]) ).
tff(c_1133054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_1133032]) ).
tff(c_1133055,plain,
product(e_4,e_3,e_3),
inference(splitRight,[status(thm)],[c_1109466]) ).
tff(c_1133061,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_1133055,c_1108829]) ).
tff(c_1133084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_1133061]) ).
tff(c_1133085,plain,
product(e_4,e_6,e_4),
inference(splitRight,[status(thm)],[c_1108726]) ).
tff(c_1133091,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1133085,c_1092446]) ).
tff(c_1133111,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1133091]) ).
tff(c_1133112,plain,
product(e_6,e_6,e_3),
inference(splitRight,[status(thm)],[c_1092422]) ).
tff(c_1133183,plain,
( product(e_6,e_3,e_6)
| product(e_3,e_6,e_5)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1133112,c_219]) ).
tff(c_1133202,plain,
( product(e_6,e_3,e_6)
| product(e_3,e_6,e_5)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_54,c_1133183]) ).
tff(c_1135123,plain,
product(e_3,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1133202]) ).
tff(c_1135277,plain,
! [X_17153] :
( product(X_17153,e_3,e_1)
| ~ product(X_17153,e_6,e_3) ),
inference(resolution,[status(thm)],[c_1135123,c_124]) ).
tff(c_1135281,plain,
product(e_6,e_3,e_1),
inference(resolution,[status(thm)],[c_1133112,c_1135277]) ).
tff(c_1135481,plain,
! [X_17159] :
( product(X_17159,e_6,e_1)
| ~ product(X_17159,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1135281,c_124]) ).
tff(c_1135817,plain,
! [X_17170,X_17171] :
( product(X_17170,X_17171,e_1)
| ~ product(X_17170,e_6,X_17171)
| ~ product(X_17171,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1135481,c_124]) ).
tff(c_1135851,plain,
( product(e_3,e_1,e_1)
| ~ product(e_1,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1135123,c_1135817]) ).
tff(c_1135887,plain,
~ product(e_1,e_3,e_6),
inference(splitLeft,[status(thm)],[c_1135851]) ).
tff(c_1135890,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_1135887]) ).
tff(c_1135893,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_48,c_1135890]) ).
tff(c_1135894,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_1135893]) ).
tff(c_1135303,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_1135281,c_122]) ).
tff(c_1135899,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1135894,c_1135303]) ).
tff(c_1135917,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1135899]) ).
tff(c_1135919,plain,
~ product(e_1,e_3,e_1),
inference(splitRight,[status(thm)],[c_1135893]) ).
tff(c_1133409,plain,
! [X_17122] :
( product(X_17122,e_6,e_3)
| ~ product(X_17122,e_6,e_6) ),
inference(resolution,[status(thm)],[c_1133112,c_124]) ).
tff(c_1133413,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(e_6)
| ~ group_element(X_4) ),
inference(resolution,[status(thm)],[c_116,c_1133409]) ).
tff(c_1133416,plain,
! [X_4] :
( product(X_4,e_6,e_5)
| product(X_4,e_6,e_4)
| product(X_4,e_6,e_3)
| product(X_4,e_6,e_2)
| product(X_4,e_6,e_1)
| ~ group_element(X_4) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_1133413]) ).
tff(c_1135918,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_1135893]) ).
tff(c_1135920,plain,
product(e_1,e_3,e_5),
inference(splitLeft,[status(thm)],[c_1135918]) ).
tff(c_1135944,plain,
! [W_17174] :
( equalish(W_17174,e_3)
| ~ product(e_1,W_17174,e_5) ),
inference(resolution,[status(thm)],[c_1135920,c_120]) ).
tff(c_1135951,plain,
( equalish(e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1133416,c_1135944]) ).
tff(c_1135984,plain,
( equalish(e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_1135951]) ).
tff(c_1135985,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_110,c_1135984]) ).
tff(c_1136936,plain,
product(e_1,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1135985]) ).
tff(c_1135145,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_6,e_1) ),
inference(resolution,[status(thm)],[c_1135123,c_122]) ).
tff(c_1136953,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_1136936,c_1135145]) ).
tff(c_1136979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_1136953]) ).
tff(c_1136980,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_1135985]) ).
tff(c_1136986,plain,
product(e_1,e_6,e_4),
inference(splitLeft,[status(thm)],[c_1136980]) ).
tff(c_1137141,plain,
! [X_17198] :
( product(X_17198,e_1,e_4)
| ~ product(X_17198,e_6,e_1) ),
inference(resolution,[status(thm)],[c_1136986,c_124]) ).
tff(c_1137149,plain,
product(e_3,e_1,e_4),
inference(resolution,[status(thm)],[c_1135123,c_1137141]) ).
tff(c_1137469,plain,
! [X_17203] :
( product(X_17203,e_3,e_4)
| ~ product(X_17203,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1137149,c_124]) ).
tff(c_1137036,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_1,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1136986,c_120]) ).
tff(c_1137477,plain,
( equalish(e_3,e_6)
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1137469,c_1137036]) ).
tff(c_1137505,plain,
~ product(e_1,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_84,c_1137477]) ).
tff(c_1136125,plain,
! [X_17177] :
( product(X_17177,e_1,e_5)
| ~ product(X_17177,e_3,e_1) ),
inference(resolution,[status(thm)],[c_1135920,c_124]) ).
tff(c_1136129,plain,
product(e_6,e_1,e_5),
inference(resolution,[status(thm)],[c_1135281,c_1136125]) ).
tff(c_1136581,plain,
! [X_17183] :
( product(X_17183,e_6,e_5)
| ~ product(X_17183,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1136129,c_124]) ).
tff(c_1135941,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_1,W_11,e_5) ),
inference(resolution,[status(thm)],[c_1135920,c_120]) ).
tff(c_1136591,plain,
( equalish(e_6,e_3)
| ~ product(e_1,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1136581,c_1135941]) ).
tff(c_1136627,plain,
~ product(e_1,e_1,e_6),
inference(negUnitSimplification,[status(thm)],[c_110,c_1136591]) ).
tff(c_1136658,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_1136627]) ).
tff(c_1136661,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_1136658]) ).
tff(c_1136662,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1136661]) ).
tff(c_1137739,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_1137505,c_1136662]) ).
tff(c_1137740,plain,
product(e_1,e_1,e_2),
inference(splitLeft,[status(thm)],[c_1137739]) ).
tff(c_1137754,plain,
( product(e_1,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1137740,c_219]) ).
tff(c_1137795,plain,
( product(e_1,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_1137754]) ).
tff(c_1137796,plain,
( product(e_1,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1137795]) ).
tff(c_1139444,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1137796]) ).
tff(c_1137219,plain,
! [X_18] :
( product(X_18,e_3,e_4)
| ~ product(X_18,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1137149,c_124]) ).
tff(c_1135535,plain,
! [X_18,X_17159] :
( product(X_18,X_17159,e_1)
| ~ product(X_18,e_6,X_17159)
| ~ product(X_17159,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1135481,c_124]) ).
tff(c_1137021,plain,
( product(e_1,e_4,e_1)
| ~ product(e_4,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1136986,c_1135535]) ).
tff(c_1137454,plain,
~ product(e_4,e_3,e_6),
inference(splitLeft,[status(thm)],[c_1137021]) ).
tff(c_1137457,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_1137454]) ).
tff(c_1137460,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_48,c_1137457]) ).
tff(c_1144480,plain,
product(e_4,e_3,e_1),
inference(splitLeft,[status(thm)],[c_1137460]) ).
tff(c_1144700,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1144480,c_1135303]) ).
tff(c_1144722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1144700]) ).
tff(c_1144723,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_1137460]) ).
tff(c_1144725,plain,
product(e_4,e_3,e_5),
inference(splitLeft,[status(thm)],[c_1144723]) ).
tff(c_1135942,plain,
! [W_14] :
( equalish(W_14,e_1)
| ~ product(W_14,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1135920,c_122]) ).
tff(c_1144737,plain,
equalish(e_4,e_1),
inference(resolution,[status(thm)],[c_1144725,c_1135942]) ).
tff(c_1144762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_1144737]) ).
tff(c_1144763,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_1144723]) ).
tff(c_1144808,plain,
product(e_4,e_3,e_2),
inference(splitLeft,[status(thm)],[c_1144763]) ).
tff(c_1137522,plain,
! [X_18,X_17203] :
( product(X_18,X_17203,e_4)
| ~ product(X_18,e_3,X_17203)
| ~ product(X_17203,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1137469,c_124]) ).
tff(c_1144816,plain,
( product(e_4,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1144808,c_1137522]) ).
tff(c_1144846,plain,
product(e_4,e_2,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_1139444,c_1144816]) ).
tff(c_1145406,plain,
! [X_17347] :
( product(X_17347,e_4,e_4)
| ~ product(X_17347,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1144846,c_124]) ).
tff(c_1144942,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1144846,c_120]) ).
tff(c_1145410,plain,
( equalish(e_4,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1145406,c_1144942]) ).
tff(c_1145454,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1144846,c_1145410]) ).
tff(c_1145456,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_1145454]) ).
tff(c_1145457,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_1144763]) ).
tff(c_1145459,plain,
product(e_4,e_3,e_4),
inference(splitLeft,[status(thm)],[c_1145457]) ).
tff(c_1145603,plain,
! [W_17350] :
( equalish(W_17350,e_4)
| ~ product(W_17350,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1145459,c_122]) ).
tff(c_1145613,plain,
! [X_17351] :
( equalish(X_17351,e_4)
| ~ product(X_17351,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1137219,c_1145603]) ).
tff(c_1145616,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_1139444,c_1145613]) ).
tff(c_1145623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_1145616]) ).
tff(c_1145624,plain,
product(e_4,e_3,e_3),
inference(splitRight,[status(thm)],[c_1145457]) ).
tff(c_1145883,plain,
! [X_17355] :
( product(X_17355,e_4,e_3)
| ~ product(X_17355,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1145624,c_124]) ).
tff(c_1139541,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_2,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1139444,c_120]) ).
tff(c_1145908,plain,
( equalish(e_4,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1145883,c_1139541]) ).
tff(c_1145955,plain,
~ product(e_2,e_3,e_4),
inference(negUnitSimplification,[status(thm)],[c_86,c_1145908]) ).
tff(c_1145992,plain,
~ product(e_2,e_1,e_3),
inference(resolution,[status(thm)],[c_1137219,c_1145955]) ).
tff(c_1145996,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1139444,c_1145992]) ).
tff(c_1145998,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_1137796]) ).
tff(c_1146001,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_1145998]) ).
tff(c_1146004,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1146001]) ).
tff(c_1146006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1146004]) ).
tff(c_1146008,plain,
product(e_4,e_3,e_6),
inference(splitRight,[status(thm)],[c_1137021]) ).
tff(c_1135638,plain,
! [W_17163,X_17164] :
( equalish(W_17163,X_17164)
| ~ product(W_17163,e_6,e_1)
| ~ product(X_17164,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1135481,c_122]) ).
tff(c_1135644,plain,
! [X_17164] :
( equalish(e_3,X_17164)
| ~ product(X_17164,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1135123,c_1135638]) ).
tff(c_1146046,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_1146008,c_1135644]) ).
tff(c_1146076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_1146046]) ).
tff(c_1146077,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1136980]) ).
tff(c_1146079,plain,
product(e_1,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1146077]) ).
tff(c_1146098,plain,
( equalish(e_6,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1146079,c_1792]) ).
tff(c_1146119,plain,
( equalish(e_6,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1146098]) ).
tff(c_1146121,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_106,c_1146119]) ).
tff(c_1146122,plain,
product(e_1,e_6,e_3),
inference(splitRight,[status(thm)],[c_1146077]) ).
tff(c_1135143,plain,
! [X_18] :
( product(X_18,e_3,e_1)
| ~ product(X_18,e_6,e_3) ),
inference(resolution,[status(thm)],[c_1135123,c_124]) ).
tff(c_1146136,plain,
product(e_1,e_3,e_1),
inference(resolution,[status(thm)],[c_1146122,c_1135143]) ).
tff(c_1146168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1135919,c_1146136]) ).
tff(c_1146169,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_1135918]) ).
tff(c_1146213,plain,
product(e_1,e_3,e_2),
inference(splitLeft,[status(thm)],[c_1146169]) ).
tff(c_1146215,plain,
( equalish(e_3,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1146213,c_1792]) ).
tff(c_1146230,plain,
( equalish(e_3,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1146215]) ).
tff(c_1146232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_76,c_1146230]) ).
tff(c_1146233,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_1146169]) ).
tff(c_1146235,plain,
product(e_1,e_3,e_4),
inference(splitLeft,[status(thm)],[c_1146233]) ).
tff(c_1146354,plain,
! [X_17363] :
( product(X_17363,e_1,e_4)
| ~ product(X_17363,e_3,e_1) ),
inference(resolution,[status(thm)],[c_1146235,c_124]) ).
tff(c_1146358,plain,
product(e_6,e_1,e_4),
inference(resolution,[status(thm)],[c_1135281,c_1146354]) ).
tff(c_1146704,plain,
! [X_17369] :
( product(X_17369,e_6,e_4)
| ~ product(X_17369,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1146358,c_124]) ).
tff(c_1146269,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_1,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1146235,c_120]) ).
tff(c_1146712,plain,
( equalish(e_6,e_3)
| ~ product(e_1,e_1,e_6) ),
inference(resolution,[status(thm)],[c_1146704,c_1146269]) ).
tff(c_1146748,plain,
~ product(e_1,e_1,e_6),
inference(negUnitSimplification,[status(thm)],[c_110,c_1146712]) ).
tff(c_1146781,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_1146748]) ).
tff(c_1146784,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_1146781]) ).
tff(c_1146785,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1146784]) ).
tff(c_1147001,plain,
product(e_1,e_1,e_2),
inference(splitLeft,[status(thm)],[c_1146785]) ).
tff(c_1147017,plain,
( product(e_1,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1147001,c_311]) ).
tff(c_1147060,plain,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1147017]) ).
tff(c_1147061,plain,
product(e_1,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1147060]) ).
tff(c_1147682,plain,
! [X_17387] :
( product(X_17387,e_1,e_2)
| ~ product(X_17387,e_1,e_1) ),
inference(resolution,[status(thm)],[c_1147001,c_124]) ).
tff(c_1147716,plain,
! [X_17387] :
( product(X_17387,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2)
| ~ product(X_17387,e_1,e_1) ),
inference(resolution,[status(thm)],[c_1147682,c_311]) ).
tff(c_1147760,plain,
! [X_17387] :
( product(X_17387,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ product(X_17387,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1147716]) ).
tff(c_1147860,plain,
! [X_17391] :
( product(X_17391,e_2,e_3)
| ~ product(X_17391,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1147760]) ).
tff(c_1148535,plain,
! [X_17407,X_17408] :
( product(X_17407,X_17408,e_3)
| ~ product(X_17407,e_2,X_17408)
| ~ product(X_17408,e_1,e_1) ),
inference(resolution,[status(thm)],[c_1147860,c_124]) ).
tff(c_1148583,plain,
( product(e_1,e_3,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[c_1147061,c_1148535]) ).
tff(c_1148617,plain,
~ product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1148583]) ).
tff(c_954057,plain,
! [W_14,X_13992] :
( equalish(W_14,X_13992)
| ~ product(W_14,e_1,e_4)
| ~ next(X_13992,e_4)
| product(X_13992,e_1,e_3)
| product(X_13992,e_1,e_2)
| product(X_13992,e_1,e_1)
| ~ group_element(X_13992) ),
inference(resolution,[status(thm)],[c_954007,c_122]) ).
tff(c_1153989,plain,
! [X_17503] :
( equalish(e_6,X_17503)
| ~ next(X_17503,e_4)
| product(X_17503,e_1,e_3)
| product(X_17503,e_1,e_2)
| product(X_17503,e_1,e_1)
| ~ group_element(X_17503) ),
inference(resolution,[status(thm)],[c_1146358,c_954057]) ).
tff(c_1147015,plain,
( product(e_1,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1147001,c_219]) ).
tff(c_1147056,plain,
( product(e_1,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_44,c_1147015]) ).
tff(c_1147057,plain,
( product(e_1,e_2,e_6)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1147056]) ).
tff(c_1148661,plain,
product(e_2,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1147057]) ).
tff(c_1148753,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1148661,c_122]) ).
tff(c_1154158,plain,
! [X_17504] :
( equalish(X_17504,e_2)
| equalish(e_6,X_17504)
| ~ next(X_17504,e_4)
| product(X_17504,e_1,e_2)
| product(X_17504,e_1,e_1)
| ~ group_element(X_17504) ),
inference(resolution,[status(thm)],[c_1153989,c_1148753]) ).
tff(c_1149070,plain,
! [X_17414] :
( product(X_17414,e_2,e_3)
| ~ product(X_17414,e_1,e_2) ),
inference(resolution,[status(thm)],[c_1148661,c_124]) ).
tff(c_1149529,plain,
! [X_17424,X_17425] :
( product(X_17424,X_17425,e_3)
| ~ product(X_17424,e_2,X_17425)
| ~ product(X_17425,e_1,e_2) ),
inference(resolution,[status(thm)],[c_1149070,c_124]) ).
tff(c_1149580,plain,
( product(e_1,e_3,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[c_1147061,c_1149529]) ).
tff(c_1149614,plain,
~ product(e_3,e_1,e_2),
inference(splitLeft,[status(thm)],[c_1149580]) ).
tff(c_1154187,plain,
( equalish(e_3,e_2)
| equalish(e_6,e_3)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1154158,c_1149614]) ).
tff(c_1154284,plain,
( equalish(e_3,e_2)
| equalish(e_6,e_3)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1154187]) ).
tff(c_1154286,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1148617,c_110,c_78,c_1154284]) ).
tff(c_1154288,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1149580]) ).
tff(c_1149412,plain,
! [W_17419,X_17420] :
( equalish(W_17419,X_17420)
| ~ product(W_17419,e_2,e_3)
| ~ product(X_17420,e_1,e_2) ),
inference(resolution,[status(thm)],[c_1149070,c_122]) ).
tff(c_1149439,plain,
! [X_17420] :
( equalish(e_1,X_17420)
| ~ product(X_17420,e_1,e_2) ),
inference(resolution,[status(thm)],[c_1147061,c_1149412]) ).
tff(c_1154293,plain,
equalish(e_1,e_3),
inference(resolution,[status(thm)],[c_1154288,c_1149439]) ).
tff(c_1154340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_1154293]) ).
tff(c_1154342,plain,
~ product(e_2,e_1,e_3),
inference(splitRight,[status(thm)],[c_1147057]) ).
tff(c_1154345,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_291,c_1154342]) ).
tff(c_1154348,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1154345]) ).
tff(c_1154350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1154348]) ).
tff(c_1154351,plain,
product(e_1,e_3,e_3),
inference(splitRight,[status(thm)],[c_1148583]) ).
tff(c_1147193,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_1,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1147061,c_120]) ).
tff(c_1154357,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_1154351,c_1147193]) ).
tff(c_1154382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1154357]) ).
tff(c_1154384,plain,
~ product(e_1,e_1,e_2),
inference(splitRight,[status(thm)],[c_1146785]) ).
tff(c_1154411,plain,
( ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1730,c_1154384]) ).
tff(c_1154438,plain,
product(e_1,e_1,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1154411]) ).
tff(c_1154440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_1154438]) ).
tff(c_1154441,plain,
product(e_1,e_3,e_3),
inference(splitRight,[status(thm)],[c_1146233]) ).
tff(c_1154451,plain,
( equalish(e_3,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1154441,c_1885]) ).
tff(c_1154468,plain,
( equalish(e_3,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1154451]) ).
tff(c_1154470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_78,c_1154468]) ).
tff(c_1154471,plain,
product(e_3,e_1,e_1),
inference(splitRight,[status(thm)],[c_1135851]) ).
tff(c_1135144,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_1) ),
inference(resolution,[status(thm)],[c_1135123,c_120]) ).
tff(c_1154479,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1154471,c_1135144]) ).
tff(c_1154512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1154479]) ).
tff(c_1154513,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_5)
| product(e_6,e_3,e_6) ),
inference(splitRight,[status(thm)],[c_1133202]) ).
tff(c_1154515,plain,
product(e_6,e_3,e_6),
inference(splitLeft,[status(thm)],[c_1154513]) ).
tff(c_1154644,plain,
! [X_17510] :
( product(X_17510,e_6,e_6)
| ~ product(X_17510,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1154515,c_124]) ).
tff(c_1154546,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_6,W_11,e_6) ),
inference(resolution,[status(thm)],[c_1154515,c_120]) ).
tff(c_1154648,plain,
( equalish(e_6,e_3)
| ~ product(e_6,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1154644,c_1154546]) ).
tff(c_1154677,plain,
equalish(e_6,e_3),
inference(demodulation,[status(thm),theory(equality)],[c_1154515,c_1154648]) ).
tff(c_1154679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_1154677]) ).
tff(c_1154680,plain,
( product(e_3,e_6,e_5)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1154513]) ).
tff(c_1154688,plain,
product(e_3,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1154680]) ).
tff(c_1154872,plain,
! [X_17514] :
( product(X_17514,e_3,e_2)
| ~ product(X_17514,e_6,e_3) ),
inference(resolution,[status(thm)],[c_1154688,c_124]) ).
tff(c_1154876,plain,
product(e_6,e_3,e_2),
inference(resolution,[status(thm)],[c_1133112,c_1154872]) ).
tff(c_1155079,plain,
! [X_17521] :
( product(X_17521,e_6,e_2)
| ~ product(X_17521,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1154876,c_124]) ).
tff(c_1155306,plain,
! [X_17530,X_17531] :
( product(X_17530,X_17531,e_2)
| ~ product(X_17530,e_6,X_17531)
| ~ product(X_17531,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1155079,c_124]) ).
tff(c_1155340,plain,
( product(e_3,e_2,e_2)
| ~ product(e_2,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1154688,c_1155306]) ).
tff(c_1155369,plain,
~ product(e_2,e_3,e_6),
inference(splitLeft,[status(thm)],[c_1155340]) ).
tff(c_1155372,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_1155369]) ).
tff(c_1155375,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48,c_1155372]) ).
tff(c_1155392,plain,
product(e_2,e_3,e_1),
inference(splitLeft,[status(thm)],[c_1155375]) ).
tff(c_1155538,plain,
! [X_17538] :
( product(X_17538,e_2,e_1)
| ~ product(X_17538,e_3,e_2) ),
inference(resolution,[status(thm)],[c_1155392,c_124]) ).
tff(c_1155542,plain,
product(e_6,e_2,e_1),
inference(resolution,[status(thm)],[c_1154876,c_1155538]) ).
tff(c_1155544,plain,
( product(e_6,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1155542,c_1884]) ).
tff(c_1155562,plain,
( product(e_6,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1155544]) ).
tff(c_1155563,plain,
product(e_6,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1155562]) ).
tff(c_1133212,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_6,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1133112,c_120]) ).
tff(c_1155581,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1155563,c_1133212]) ).
tff(c_1155619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1155581]) ).
tff(c_1155620,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_1155375]) ).
tff(c_1155629,plain,
product(e_2,e_3,e_5),
inference(splitLeft,[status(thm)],[c_1155620]) ).
tff(c_1155653,plain,
! [W_17541] :
( equalish(W_17541,e_3)
| ~ product(e_2,W_17541,e_5) ),
inference(resolution,[status(thm)],[c_1155629,c_120]) ).
tff(c_1155660,plain,
( equalish(e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1133416,c_1155653]) ).
tff(c_1155693,plain,
( equalish(e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1155660]) ).
tff(c_1155694,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_110,c_1155693]) ).
tff(c_1156699,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1155694]) ).
tff(c_1156889,plain,
! [X_17567] :
( product(X_17567,e_2,e_1)
| ~ product(X_17567,e_6,e_2) ),
inference(resolution,[status(thm)],[c_1156699,c_124]) ).
tff(c_1156897,plain,
product(e_3,e_2,e_1),
inference(resolution,[status(thm)],[c_1154688,c_1156889]) ).
tff(c_1156899,plain,
( product(e_3,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1156897,c_1884]) ).
tff(c_1156917,plain,
( product(e_3,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1156899]) ).
tff(c_1156918,plain,
product(e_3,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1156917]) ).
tff(c_1157740,plain,
! [X_17576] :
( product(X_17576,e_3,e_3)
| ~ product(X_17576,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1156918,c_124]) ).
tff(c_1157007,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1156918,c_120]) ).
tff(c_1157744,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1157740,c_1157007]) ).
tff(c_1157775,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1156918,c_1157744]) ).
tff(c_1157777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1157775]) ).
tff(c_1157778,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_1155694]) ).
tff(c_1157780,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_1157778]) ).
tff(c_1157929,plain,
! [X_17580] :
( product(X_17580,e_2,e_4)
| ~ product(X_17580,e_6,e_2) ),
inference(resolution,[status(thm)],[c_1157780,c_124]) ).
tff(c_1157937,plain,
product(e_3,e_2,e_4),
inference(resolution,[status(thm)],[c_1154688,c_1157929]) ).
tff(c_1157939,plain,
( equalish(e_2,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1157937,c_954056]) ).
tff(c_1157959,plain,
( equalish(e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1157939]) ).
tff(c_1157960,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_66,c_1157959]) ).
tff(c_1158478,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1157960]) ).
tff(c_1158486,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1158478,c_1790]) ).
tff(c_1158516,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1158486]) ).
tff(c_1158517,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1158516]) ).
tff(c_1154715,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1154688,c_120]) ).
tff(c_1158548,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1158517,c_1154715]) ).
tff(c_1158588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1158548]) ).
tff(c_1158590,plain,
~ product(e_3,e_1,e_1),
inference(splitRight,[status(thm)],[c_1157960]) ).
tff(c_1157979,plain,
! [W_17581] :
( equalish(W_17581,e_2)
| ~ product(e_3,W_17581,e_4) ),
inference(resolution,[status(thm)],[c_1157937,c_120]) ).
tff(c_1157986,plain,
( equalish(e_1,e_2)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_1157979]) ).
tff(c_1157991,plain,
( equalish(e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1157986]) ).
tff(c_1157992,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_56,c_1157991]) ).
tff(c_1158627,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(negUnitSimplification,[status(thm)],[c_1158590,c_1157992]) ).
tff(c_1158628,plain,
product(e_3,e_1,e_2),
inference(splitLeft,[status(thm)],[c_1158627]) ).
tff(c_1158635,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1158628,c_1154715]) ).
tff(c_1158675,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1158635]) ).
tff(c_1158676,plain,
product(e_3,e_1,e_3),
inference(splitRight,[status(thm)],[c_1158627]) ).
tff(c_1159121,plain,
! [X_17595] :
( product(X_17595,e_3,e_3)
| ~ product(X_17595,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1158676,c_124]) ).
tff(c_1158811,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1158676,c_120]) ).
tff(c_1159125,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1159121,c_1158811]) ).
tff(c_1159159,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1158676,c_1159125]) ).
tff(c_1159161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1159159]) ).
tff(c_1159162,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1157778]) ).
tff(c_1159164,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1159162]) ).
tff(c_1154716,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_6,e_2) ),
inference(resolution,[status(thm)],[c_1154688,c_122]) ).
tff(c_1159181,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_1159164,c_1154716]) ).
tff(c_1159208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_1159181]) ).
tff(c_1159209,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_1159162]) ).
tff(c_1133213,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_6,e_3) ),
inference(resolution,[status(thm)],[c_1133112,c_122]) ).
tff(c_1159230,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1159209,c_1133213]) ).
tff(c_1159258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1159230]) ).
tff(c_1159259,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_1155620]) ).
tff(c_1159310,plain,
product(e_2,e_3,e_2),
inference(splitLeft,[status(thm)],[c_1159259]) ).
tff(c_1154923,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_3,e_2) ),
inference(resolution,[status(thm)],[c_1154876,c_122]) ).
tff(c_1159315,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1159310,c_1154923]) ).
tff(c_1159335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1159315]) ).
tff(c_1159336,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_1159259]) ).
tff(c_1159338,plain,
product(e_2,e_3,e_4),
inference(splitLeft,[status(thm)],[c_1159336]) ).
tff(c_1159451,plain,
! [X_17601] :
( product(X_17601,e_2,e_4)
| ~ product(X_17601,e_3,e_2) ),
inference(resolution,[status(thm)],[c_1159338,c_124]) ).
tff(c_1159455,plain,
product(e_6,e_2,e_4),
inference(resolution,[status(thm)],[c_1154876,c_1159451]) ).
tff(c_1159705,plain,
! [X_17607] :
( product(X_17607,e_6,e_4)
| ~ product(X_17607,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1159455,c_124]) ).
tff(c_1155136,plain,
! [X_18,X_17521] :
( product(X_18,X_17521,e_2)
| ~ product(X_18,e_6,X_17521)
| ~ product(X_17521,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1155079,c_124]) ).
tff(c_1159750,plain,
! [X_17607] :
( product(X_17607,e_4,e_2)
| ~ product(e_4,e_3,e_6)
| ~ product(X_17607,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1159705,c_1155136]) ).
tff(c_1160100,plain,
~ product(e_4,e_3,e_6),
inference(splitLeft,[status(thm)],[c_1159750]) ).
tff(c_1160103,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_1160100]) ).
tff(c_1160106,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_48,c_1160103]) ).
tff(c_1160114,plain,
product(e_4,e_3,e_1),
inference(splitLeft,[status(thm)],[c_1160106]) ).
tff(c_1154717,plain,
! [W_8] :
( equalish(W_8,e_2)
| ~ product(e_3,e_6,W_8) ),
inference(resolution,[status(thm)],[c_1154688,c_118]) ).
tff(c_1159722,plain,
( equalish(e_4,e_2)
| ~ product(e_3,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1159705,c_1154717]) ).
tff(c_1159756,plain,
~ product(e_3,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_88,c_1159722]) ).
tff(c_1159789,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_1159756]) ).
tff(c_1159792,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_46,c_1159789]) ).
tff(c_1161621,plain,
product(e_3,e_2,e_1),
inference(splitLeft,[status(thm)],[c_1159792]) ).
tff(c_1161625,plain,
( product(e_3,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1161621,c_1884]) ).
tff(c_1161646,plain,
( product(e_3,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1161625]) ).
tff(c_1161647,plain,
product(e_3,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1161646]) ).
tff(c_1162512,plain,
! [X_17659] :
( product(X_17659,e_3,e_3)
| ~ product(X_17659,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1161647,c_124]) ).
tff(c_1161736,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1161647,c_120]) ).
tff(c_1162516,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1162512,c_1161736]) ).
tff(c_1162551,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1161647,c_1162516]) ).
tff(c_1162553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1162551]) ).
tff(c_1162554,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_1159792]) ).
tff(c_1162556,plain,
product(e_3,e_2,e_5),
inference(splitLeft,[status(thm)],[c_1162554]) ).
tff(c_1162845,plain,
! [X_17663] :
( product(X_17663,e_3,e_5)
| ~ product(X_17663,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1162556,c_124]) ).
tff(c_1163283,plain,
! [X_17670,X_17671] :
( product(X_17670,X_17671,e_5)
| ~ product(X_17670,e_3,X_17671)
| ~ product(X_17671,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1162845,c_124]) ).
tff(c_1163317,plain,
( product(e_4,e_1,e_5)
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1160114,c_1163283]) ).
tff(c_1163344,plain,
~ product(e_1,e_2,e_3),
inference(splitLeft,[status(thm)],[c_1163317]) ).
tff(c_1163371,plain,
( ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1774,c_1163344]) ).
tff(c_1163398,plain,
product(e_1,e_1,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1163371]) ).
tff(c_1163400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_1163398]) ).
tff(c_1163401,plain,
product(e_4,e_1,e_5),
inference(splitRight,[status(thm)],[c_1163317]) ).
tff(c_1164158,plain,
! [X_17681] :
( product(X_17681,e_4,e_5)
| ~ product(X_17681,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1163401,c_124]) ).
tff(c_1162589,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_5) ),
inference(resolution,[status(thm)],[c_1162556,c_120]) ).
tff(c_1164170,plain,
( equalish(e_4,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1164158,c_1162589]) ).
tff(c_1164199,plain,
~ product(e_3,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_88,c_1164170]) ).
tff(c_1164223,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_1164199]) ).
tff(c_1164226,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1164223]) ).
tff(c_1164722,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1164226]) ).
tff(c_1164734,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1164722,c_1790]) ).
tff(c_1164771,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1164734]) ).
tff(c_1164772,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1164771]) ).
tff(c_1164805,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1164772,c_1154715]) ).
tff(c_1164849,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1164805]) ).
tff(c_1164850,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_1164226]) ).
tff(c_1164888,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1164850]) ).
tff(c_1165280,plain,
! [X_17697] :
( product(X_17697,e_3,e_3)
| ~ product(X_17697,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1164888,c_124]) ).
tff(c_1164973,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1164888,c_120]) ).
tff(c_1165284,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1165280,c_1164973]) ).
tff(c_1165328,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1164888,c_1165284]) ).
tff(c_1165330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1165328]) ).
tff(c_1165331,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1164850]) ).
tff(c_1165348,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1165331,c_1154715]) ).
tff(c_1165392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1165348]) ).
tff(c_1165393,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_1162554]) ).
tff(c_1165437,plain,
product(e_3,e_2,e_2),
inference(splitLeft,[status(thm)],[c_1165393]) ).
tff(c_1159337,plain,
~ product(e_2,e_3,e_2),
inference(splitRight,[status(thm)],[c_1159259]) ).
tff(c_1159365,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_2,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1159338,c_120]) ).
tff(c_1159713,plain,
( equalish(e_6,e_3)
| ~ product(e_2,e_2,e_6) ),
inference(resolution,[status(thm)],[c_1159705,c_1159365]) ).
tff(c_1159749,plain,
~ product(e_2,e_2,e_6),
inference(negUnitSimplification,[status(thm)],[c_110,c_1159713]) ).
tff(c_1159783,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_1159749]) ).
tff(c_1159786,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1159783]) ).
tff(c_1160457,plain,
product(e_2,e_2,e_1),
inference(splitLeft,[status(thm)],[c_1159786]) ).
tff(c_1160260,plain,
! [X_17622] :
( product(X_17622,e_4,e_1)
| ~ product(X_17622,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1160114,c_124]) ).
tff(c_1160288,plain,
! [W_11,X_17622] :
( equalish(W_11,e_4)
| ~ product(X_17622,W_11,e_1)
| ~ product(X_17622,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1160260,c_120]) ).
tff(c_1160459,plain,
( equalish(e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1160457,c_1160288]) ).
tff(c_1160479,plain,
equalish(e_2,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_1159338,c_1160459]) ).
tff(c_1160481,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_1160479]) ).
tff(c_1160482,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(splitRight,[status(thm)],[c_1159786]) ).
tff(c_1160484,plain,
product(e_2,e_2,e_5),
inference(splitLeft,[status(thm)],[c_1160482]) ).
tff(c_1160520,plain,
! [W_17631] :
( equalish(W_17631,e_2)
| ~ product(e_2,W_17631,e_5) ),
inference(resolution,[status(thm)],[c_1160484,c_120]) ).
tff(c_1160527,plain,
( equalish(e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1133416,c_1160520]) ).
tff(c_1160560,plain,
( equalish(e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1160527]) ).
tff(c_1160561,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_108,c_1160560]) ).
tff(c_1161122,plain,
product(e_2,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1160561]) ).
tff(c_1161124,plain,
( equalish(e_6,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1161122,c_1160288]) ).
tff(c_1161149,plain,
equalish(e_6,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_1159338,c_1161124]) ).
tff(c_1161151,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_1161149]) ).
tff(c_1161152,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4) ),
inference(splitRight,[status(thm)],[c_1160561]) ).
tff(c_1161154,plain,
product(e_2,e_6,e_4),
inference(splitLeft,[status(thm)],[c_1161152]) ).
tff(c_1161166,plain,
equalish(e_6,e_3),
inference(resolution,[status(thm)],[c_1161154,c_1159365]) ).
tff(c_1161195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110,c_1161166]) ).
tff(c_1161196,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_2) ),
inference(splitRight,[status(thm)],[c_1161152]) ).
tff(c_1161209,plain,
product(e_2,e_6,e_2),
inference(splitLeft,[status(thm)],[c_1161196]) ).
tff(c_1161226,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_1161209,c_1154716]) ).
tff(c_1161253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_1161226]) ).
tff(c_1161254,plain,
product(e_2,e_6,e_3),
inference(splitRight,[status(thm)],[c_1161196]) ).
tff(c_1154714,plain,
! [X_18] :
( product(X_18,e_3,e_2)
| ~ product(X_18,e_6,e_3) ),
inference(resolution,[status(thm)],[c_1154688,c_124]) ).
tff(c_1161272,plain,
product(e_2,e_3,e_2),
inference(resolution,[status(thm)],[c_1161254,c_1154714]) ).
tff(c_1161304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1159337,c_1161272]) ).
tff(c_1161305,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_1160482]) ).
tff(c_1161349,plain,
product(e_2,e_2,e_2),
inference(splitLeft,[status(thm)],[c_1161305]) ).
tff(c_1161395,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_2,e_2) ),
inference(resolution,[status(thm)],[c_1161349,c_122]) ).
tff(c_1165440,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_1165437,c_1161395]) ).
tff(c_1165468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1165440]) ).
tff(c_1165469,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_1165393]) ).
tff(c_1165478,plain,
product(e_3,e_2,e_4),
inference(splitLeft,[status(thm)],[c_1165469]) ).
tff(c_1159495,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1159455,c_122]) ).
tff(c_1165483,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_1165478,c_1159495]) ).
tff(c_1165508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_1165483]) ).
tff(c_1165509,plain,
product(e_3,e_2,e_3),
inference(splitRight,[status(thm)],[c_1165469]) ).
tff(c_1165804,plain,
! [X_17703] :
( product(X_17703,e_3,e_3)
| ~ product(X_17703,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1165509,c_124]) ).
tff(c_1165557,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1165509,c_120]) ).
tff(c_1165808,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1165804,c_1165557]) ).
tff(c_1165843,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1165509,c_1165808]) ).
tff(c_1165845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1165843]) ).
tff(c_1165846,plain,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_1161305]) ).
tff(c_1165848,plain,
product(e_2,e_2,e_4),
inference(splitLeft,[status(thm)],[c_1165846]) ).
tff(c_1165853,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1165848,c_1159495]) ).
tff(c_1165881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1165853]) ).
tff(c_1165882,plain,
product(e_2,e_2,e_3),
inference(splitRight,[status(thm)],[c_1165846]) ).
tff(c_1165896,plain,
( equalish(e_2,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1165882,c_312]) ).
tff(c_1165925,plain,
( equalish(e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1165896]) ).
tff(c_1165927,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_66,c_1165925]) ).
tff(c_1165928,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_1160106]) ).
tff(c_1165930,plain,
product(e_4,e_3,e_5),
inference(splitLeft,[status(thm)],[c_1165928]) ).
tff(c_1166166,plain,
! [W_17708,X_17709] :
( equalish(W_17708,e_1)
| ~ product(X_17709,W_17708,e_5)
| ~ next(X_17709,e_5)
| product(X_17709,e_1,e_4)
| product(X_17709,e_1,e_3)
| product(X_17709,e_1,e_2)
| product(X_17709,e_1,e_1)
| ~ group_element(X_17709) ),
inference(resolution,[status(thm)],[c_1888,c_120]) ).
tff(c_1166170,plain,
( equalish(e_3,e_1)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_1165930,c_1166166]) ).
tff(c_1166194,plain,
( equalish(e_3,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_1166170]) ).
tff(c_1166195,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_76,c_1166194]) ).
tff(c_1166412,plain,
product(e_4,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1166195]) ).
tff(c_1166420,plain,
( product(e_4,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1166412,c_1790]) ).
tff(c_1166450,plain,
( product(e_4,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1166420]) ).
tff(c_1166451,plain,
product(e_4,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1166450]) ).
tff(c_1166648,plain,
! [W_17719] :
( equalish(W_17719,e_1)
| ~ product(e_4,e_1,W_17719) ),
inference(resolution,[status(thm)],[c_1166412,c_118]) ).
tff(c_1166651,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_1166451,c_1166648]) ).
tff(c_1166758,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1166651]) ).
tff(c_1166760,plain,
~ product(e_4,e_1,e_1),
inference(splitRight,[status(thm)],[c_1166195]) ).
tff(c_1166759,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_1166195]) ).
tff(c_1166797,plain,
product(e_4,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1166759]) ).
tff(c_1167119,plain,
! [X_17723] :
( product(X_17723,e_4,e_4)
| ~ product(X_17723,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1166797,c_124]) ).
tff(c_1166878,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_4,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1166797,c_120]) ).
tff(c_1167123,plain,
( equalish(e_4,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1167119,c_1166878]) ).
tff(c_1167155,plain,
equalish(e_4,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1166797,c_1167123]) ).
tff(c_1167157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86,c_1167155]) ).
tff(c_1167158,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_1166759]) ).
tff(c_1167167,plain,
product(e_4,e_1,e_2),
inference(splitLeft,[status(thm)],[c_1167158]) ).
tff(c_1167185,plain,
( product(e_4,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1167167,c_311]) ).
tff(c_1167230,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1167185]) ).
tff(c_1167231,plain,
product(e_4,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1167230]) ).
tff(c_1167934,plain,
! [X_17731] :
( product(X_17731,e_4,e_3)
| ~ product(X_17731,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1167231,c_124]) ).
tff(c_1167947,plain,
( equalish(e_4,e_6)
| ~ product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1167934,c_1133212]) ).
tff(c_1167973,plain,
equalish(e_4,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_1159455,c_1167947]) ).
tff(c_1167975,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1167973]) ).
tff(c_1167977,plain,
~ product(e_4,e_1,e_2),
inference(splitRight,[status(thm)],[c_1167158]) ).
tff(c_1167159,plain,
~ product(e_4,e_1,e_4),
inference(splitRight,[status(thm)],[c_1166759]) ).
tff(c_1165954,plain,
! [W_17704] :
( equalish(W_17704,e_3)
| ~ product(e_4,W_17704,e_5) ),
inference(resolution,[status(thm)],[c_1165930,c_120]) ).
tff(c_1165989,plain,
( equalish(e_1,e_3)
| ~ next(e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_236,c_1165954]) ).
tff(c_1166016,plain,
( equalish(e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_8,c_1165989]) ).
tff(c_1166017,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_58,c_1166016]) ).
tff(c_1168033,plain,
product(e_4,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_1166760,c_1167977,c_1167159,c_1166017]) ).
tff(c_1168109,plain,
! [X_18] :
( product(X_18,e_4,e_3)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1168033,c_124]) ).
tff(c_1168418,plain,
! [X_17735] :
( product(X_17735,e_4,e_3)
| ~ product(X_17735,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1168033,c_124]) ).
tff(c_1168624,plain,
! [X_17743,X_17744] :
( product(X_17743,X_17744,e_3)
| ~ product(X_17743,e_4,X_17744)
| ~ product(X_17744,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1168418,c_124]) ).
tff(c_1168653,plain,
! [X_18] :
( product(X_18,e_3,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(X_18,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1168109,c_1168624]) ).
tff(c_1169132,plain,
~ product(e_3,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1168653]) ).
tff(c_1169135,plain,
( ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1328,c_1169132]) ).
tff(c_1169138,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1169135]) ).
tff(c_1169149,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1169138]) ).
tff(c_1169166,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1169149,c_1790]) ).
tff(c_1169198,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1169166]) ).
tff(c_1169199,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1169198]) ).
tff(c_1169230,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1169199,c_1154715]) ).
tff(c_1169270,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1169230]) ).
tff(c_1169271,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_1169138]) ).
tff(c_1169309,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1169271]) ).
tff(c_1168112,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1168033,c_122]) ).
tff(c_1169314,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_1169309,c_1168112]) ).
tff(c_1169356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_1169314]) ).
tff(c_1169357,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1169271]) ).
tff(c_1169372,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1169357,c_1154715]) ).
tff(c_1169412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1169372]) ).
tff(c_1169733,plain,
! [X_17765] :
( product(X_17765,e_3,e_3)
| ~ product(X_17765,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_1168653]) ).
tff(c_1168469,plain,
! [W_11,X_17735] :
( equalish(W_11,e_4)
| ~ product(X_17735,W_11,e_3)
| ~ product(X_17735,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1168418,c_120]) ).
tff(c_1169735,plain,
! [X_17765] :
( equalish(e_3,e_4)
| ~ product(X_17765,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1169733,c_1168469]) ).
tff(c_1169774,plain,
! [X_17765] : ~ product(X_17765,e_1,e_4),
inference(negUnitSimplification,[status(thm)],[c_80,c_1169735]) ).
tff(c_1169414,plain,
product(e_3,e_1,e_4),
inference(splitRight,[status(thm)],[c_1168653]) ).
tff(c_1169807,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1169774,c_1169414]) ).
tff(c_1169808,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_1165928]) ).
tff(c_1169852,plain,
product(e_4,e_3,e_2),
inference(splitLeft,[status(thm)],[c_1169808]) ).
tff(c_1169860,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1169852,c_1154923]) ).
tff(c_1169881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1169860]) ).
tff(c_1169882,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_1169808]) ).
tff(c_1169884,plain,
product(e_4,e_3,e_4),
inference(splitLeft,[status(thm)],[c_1169882]) ).
tff(c_1159366,plain,
! [W_14] :
( equalish(W_14,e_2)
| ~ product(W_14,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1159338,c_122]) ).
tff(c_1169922,plain,
equalish(e_4,e_2),
inference(resolution,[status(thm)],[c_1169884,c_1159366]) ).
tff(c_1169942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_1169922]) ).
tff(c_1169943,plain,
product(e_4,e_3,e_3),
inference(splitRight,[status(thm)],[c_1169882]) ).
tff(c_1170135,plain,
! [X_17771] :
( product(X_17771,e_4,e_3)
| ~ product(X_17771,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1169943,c_124]) ).
tff(c_1170149,plain,
! [X_17771] :
( equalish(e_4,e_1)
| ~ next(X_17771,e_3)
| product(X_17771,e_1,e_2)
| product(X_17771,e_1,e_1)
| ~ group_element(X_17771)
| ~ product(X_17771,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1170135,c_312]) ).
tff(c_1170381,plain,
! [X_17781] :
( ~ next(X_17781,e_3)
| product(X_17781,e_1,e_2)
| product(X_17781,e_1,e_1)
| ~ group_element(X_17781)
| ~ product(X_17781,e_3,e_4) ),
inference(negUnitSimplification,[status(thm)],[c_86,c_1170149]) ).
tff(c_1170384,plain,
( ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1159338,c_1170381]) ).
tff(c_1170387,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1170384]) ).
tff(c_1170389,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1170387]) ).
tff(c_1170391,plain,
product(e_4,e_3,e_6),
inference(splitRight,[status(thm)],[c_1159750]) ).
tff(c_1155233,plain,
! [W_17525,X_17526] :
( equalish(W_17525,X_17526)
| ~ product(W_17525,e_6,e_2)
| ~ product(X_17526,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1155079,c_122]) ).
tff(c_1155239,plain,
! [X_17526] :
( equalish(e_3,X_17526)
| ~ product(X_17526,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1154688,c_1155233]) ).
tff(c_1170406,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_1170391,c_1155239]) ).
tff(c_1170442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_1170406]) ).
tff(c_1170443,plain,
product(e_2,e_3,e_3),
inference(splitRight,[status(thm)],[c_1159336]) ).
tff(c_1170450,plain,
( equalish(e_3,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1170443,c_312]) ).
tff(c_1170471,plain,
( equalish(e_3,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1170450]) ).
tff(c_1170473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_76,c_1170471]) ).
tff(c_1170474,plain,
product(e_3,e_2,e_2),
inference(splitRight,[status(thm)],[c_1155340]) ).
tff(c_1170480,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1170474,c_1154715]) ).
tff(c_1170506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1170480]) ).
tff(c_1170507,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_5) ),
inference(splitRight,[status(thm)],[c_1154680]) ).
tff(c_1170509,plain,
product(e_3,e_6,e_5),
inference(splitLeft,[status(thm)],[c_1170507]) ).
tff(c_1170726,plain,
! [X_17785] :
( product(X_17785,e_3,e_5)
| ~ product(X_17785,e_6,e_3) ),
inference(resolution,[status(thm)],[c_1170509,c_124]) ).
tff(c_1170730,plain,
product(e_6,e_3,e_5),
inference(resolution,[status(thm)],[c_1133112,c_1170726]) ).
tff(c_1170940,plain,
! [X_17789] :
( product(X_17789,e_6,e_5)
| ~ product(X_17789,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1170730,c_124]) ).
tff(c_1171188,plain,
! [X_17798,X_17799] :
( product(X_17798,X_17799,e_5)
| ~ product(X_17798,e_6,X_17799)
| ~ product(X_17799,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1170940,c_124]) ).
tff(c_1171222,plain,
( product(e_3,e_5,e_5)
| ~ product(e_5,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1170509,c_1171188]) ).
tff(c_1171301,plain,
~ product(e_5,e_3,e_6),
inference(splitLeft,[status(thm)],[c_1171222]) ).
tff(c_1171304,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_1171301]) ).
tff(c_1171307,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_48,c_1171304]) ).
tff(c_1171311,plain,
product(e_5,e_3,e_1),
inference(splitLeft,[status(thm)],[c_1171307]) ).
tff(c_1171331,plain,
! [X_18] :
( product(X_18,e_5,e_1)
| ~ product(X_18,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1171311,c_124]) ).
tff(c_1171457,plain,
! [X_17805] :
( product(X_17805,e_5,e_1)
| ~ product(X_17805,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1171311,c_124]) ).
tff(c_1171637,plain,
! [X_17812,X_17813] :
( product(X_17812,X_17813,e_1)
| ~ product(X_17812,e_5,X_17813)
| ~ product(X_17813,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1171457,c_124]) ).
tff(c_1171664,plain,
! [X_18] :
( product(X_18,e_1,e_1)
| ~ product(e_1,e_3,e_5)
| ~ product(X_18,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1171331,c_1171637]) ).
tff(c_1171690,plain,
~ product(e_1,e_3,e_5),
inference(splitLeft,[status(thm)],[c_1171664]) ).
tff(c_1171567,plain,
! [W_17810,X_17811] :
( equalish(W_17810,e_1)
| ~ product(X_17811,e_5,W_17810)
| ~ product(X_17811,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1171457,c_118]) ).
tff(c_1171582,plain,
( equalish(e_5,e_1)
| ~ product(e_6,e_3,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_1005560,c_1171567]) ).
tff(c_1171615,plain,
( equalish(e_5,e_1)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1170730,c_1171582]) ).
tff(c_1171616,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_1171615]) ).
tff(c_1171727,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1171616]) ).
tff(c_1171971,plain,
! [X_17818] :
( product(X_17818,e_6,e_1)
| ~ product(X_17818,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1171727,c_124]) ).
tff(c_1170992,plain,
! [X_18,X_17789] :
( product(X_18,X_17789,e_5)
| ~ product(X_18,e_6,X_17789)
| ~ product(X_17789,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1170940,c_124]) ).
tff(c_1172022,plain,
! [X_17818] :
( product(X_17818,e_1,e_5)
| ~ product(e_1,e_3,e_6)
| ~ product(X_17818,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1171971,c_1170992]) ).
tff(c_1172285,plain,
~ product(e_1,e_3,e_6),
inference(splitLeft,[status(thm)],[c_1172022]) ).
tff(c_1172288,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_1172285]) ).
tff(c_1172291,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_48,c_1172288]) ).
tff(c_1172292,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1171690,c_1172291]) ).
tff(c_1172300,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_1172292]) ).
tff(c_1171333,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_1171311,c_122]) ).
tff(c_1172307,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_1172300,c_1171333]) ).
tff(c_1172327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_1172307]) ).
tff(c_1172328,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_1172292]) ).
tff(c_1172330,plain,
product(e_1,e_3,e_4),
inference(splitLeft,[status(thm)],[c_1172328]) ).
tff(c_1172490,plain,
! [X_17834] :
( product(X_17834,e_1,e_4)
| ~ product(X_17834,e_3,e_1) ),
inference(resolution,[status(thm)],[c_1172330,c_124]) ).
tff(c_1172494,plain,
product(e_5,e_1,e_4),
inference(resolution,[status(thm)],[c_1171311,c_1172490]) ).
tff(c_1172839,plain,
! [X_17840] :
( product(X_17840,e_5,e_4)
| ~ product(X_17840,e_1,e_5) ),
inference(resolution,[status(thm)],[c_1172494,c_124]) ).
tff(c_1171767,plain,
! [W_8] :
( equalish(W_8,e_1)
| ~ product(e_6,e_5,W_8) ),
inference(resolution,[status(thm)],[c_1171727,c_118]) ).
tff(c_1172851,plain,
( equalish(e_4,e_1)
| ~ product(e_6,e_1,e_5) ),
inference(resolution,[status(thm)],[c_1172839,c_1171767]) ).
tff(c_1172879,plain,
~ product(e_6,e_1,e_5),
inference(negUnitSimplification,[status(thm)],[c_86,c_1172851]) ).
tff(c_1172996,plain,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1005560,c_1172879]) ).
tff(c_1173020,plain,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_1172996]) ).
tff(c_1173382,plain,
product(e_6,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1173020]) ).
tff(c_1171765,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_1) ),
inference(resolution,[status(thm)],[c_1171727,c_120]) ).
tff(c_1173387,plain,
equalish(e_1,e_5),
inference(resolution,[status(thm)],[c_1173382,c_1171765]) ).
tff(c_1173417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_1173387]) ).
tff(c_1173418,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4) ),
inference(splitRight,[status(thm)],[c_1173020]) ).
tff(c_1173456,plain,
product(e_6,e_1,e_4),
inference(splitLeft,[status(thm)],[c_1173418]) ).
tff(c_1172607,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_1,e_4) ),
inference(resolution,[status(thm)],[c_1172494,c_122]) ).
tff(c_1173461,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_1173456,c_1172607]) ).
tff(c_1173502,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_1173461]) ).
tff(c_1173503,plain,
( product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(splitRight,[status(thm)],[c_1173418]) ).
tff(c_1173512,plain,
product(e_6,e_1,e_2),
inference(splitLeft,[status(thm)],[c_1173503]) ).
tff(c_1173526,plain,
( product(e_6,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1173512,c_311]) ).
tff(c_1173565,plain,
( product(e_6,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1173526]) ).
tff(c_1173566,plain,
product(e_6,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1173565]) ).
tff(c_1173652,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1173566,c_1133212]) ).
tff(c_1173679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1173652]) ).
tff(c_1173680,plain,
product(e_6,e_1,e_3),
inference(splitRight,[status(thm)],[c_1173503]) ).
tff(c_1173739,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1173680,c_1133212]) ).
tff(c_1173777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1173739]) ).
tff(c_1173778,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_1172328]) ).
tff(c_1173780,plain,
product(e_1,e_3,e_2),
inference(splitLeft,[status(thm)],[c_1173778]) ).
tff(c_1173782,plain,
( equalish(e_3,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1173780,c_1792]) ).
tff(c_1173797,plain,
( equalish(e_3,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1173782]) ).
tff(c_1173799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_76,c_1173797]) ).
tff(c_1173800,plain,
product(e_1,e_3,e_3),
inference(splitRight,[status(thm)],[c_1173778]) ).
tff(c_1173803,plain,
( equalish(e_3,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1173800,c_1885]) ).
tff(c_1173820,plain,
( equalish(e_3,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1173803]) ).
tff(c_1173822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_78,c_1173820]) ).
tff(c_1173824,plain,
product(e_1,e_3,e_6),
inference(splitRight,[status(thm)],[c_1172022]) ).
tff(c_1171127,plain,
! [W_17795,X_17796] :
( equalish(W_17795,X_17796)
| ~ product(W_17795,e_6,e_5)
| ~ product(X_17796,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1170940,c_122]) ).
tff(c_1171156,plain,
! [X_17796] :
( equalish(e_3,X_17796)
| ~ product(X_17796,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1170509,c_1171127]) ).
tff(c_1173875,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_1173824,c_1171156]) ).
tff(c_1173898,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1173875]) ).
tff(c_1173900,plain,
~ product(e_6,e_5,e_1),
inference(splitRight,[status(thm)],[c_1171616]) ).
tff(c_1173903,plain,
~ product(e_6,e_3,e_5),
inference(resolution,[status(thm)],[c_1171331,c_1173900]) ).
tff(c_1173907,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1170730,c_1173903]) ).
tff(c_1173909,plain,
product(e_1,e_3,e_5),
inference(splitRight,[status(thm)],[c_1171664]) ).
tff(c_1170752,plain,
! [W_14] :
( equalish(W_14,e_6)
| ~ product(W_14,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1170730,c_122]) ).
tff(c_1173916,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1173909,c_1170752]) ).
tff(c_1173939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1173916]) ).
tff(c_1173940,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_1171307]) ).
tff(c_1173942,plain,
product(e_5,e_3,e_5),
inference(splitLeft,[status(thm)],[c_1173940]) ).
tff(c_1173995,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_1173942,c_1170752]) ).
tff(c_1174017,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1173995]) ).
tff(c_1174018,plain,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_1173940]) ).
tff(c_1174062,plain,
product(e_5,e_3,e_2),
inference(splitLeft,[status(thm)],[c_1174018]) ).
tff(c_1174113,plain,
! [X_18] :
( product(X_18,e_5,e_2)
| ~ product(X_18,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1174062,c_124]) ).
tff(c_1174264,plain,
! [X_17863] :
( product(X_17863,e_5,e_2)
| ~ product(X_17863,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1174062,c_124]) ).
tff(c_1174427,plain,
! [X_17870,X_17871] :
( product(X_17870,X_17871,e_2)
| ~ product(X_17870,e_5,X_17871)
| ~ product(X_17871,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1174264,c_124]) ).
tff(c_1174454,plain,
! [X_18] :
( product(X_18,e_2,e_2)
| ~ product(e_2,e_3,e_5)
| ~ product(X_18,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1174113,c_1174427]) ).
tff(c_1174479,plain,
~ product(e_2,e_3,e_5),
inference(splitLeft,[status(thm)],[c_1174454]) ).
tff(c_1174357,plain,
! [W_17868,X_17869] :
( equalish(W_17868,e_2)
| ~ product(X_17869,e_5,W_17868)
| ~ product(X_17869,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1174264,c_118]) ).
tff(c_1174372,plain,
( equalish(e_5,e_2)
| ~ product(e_6,e_3,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_1005560,c_1174357]) ).
tff(c_1174405,plain,
( equalish(e_5,e_2)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1170730,c_1174372]) ).
tff(c_1174406,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_98,c_1174405]) ).
tff(c_1174694,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1174406]) ).
tff(c_1174298,plain,
! [W_8,X_17863] :
( equalish(W_8,e_2)
| ~ product(X_17863,e_5,W_8)
| ~ product(X_17863,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1174264,c_118]) ).
tff(c_1174699,plain,
( equalish(e_1,e_2)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1174694,c_1174298]) ).
tff(c_1174717,plain,
equalish(e_1,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1170730,c_1174699]) ).
tff(c_1174719,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56,c_1174717]) ).
tff(c_1174720,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_1174406]) ).
tff(c_1174770,plain,
product(e_6,e_5,e_4),
inference(splitLeft,[status(thm)],[c_1174720]) ).
tff(c_1174775,plain,
( equalish(e_4,e_2)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1174770,c_1174298]) ).
tff(c_1174793,plain,
equalish(e_4,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1170730,c_1174775]) ).
tff(c_1174795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_1174793]) ).
tff(c_1174796,plain,
( product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(splitRight,[status(thm)],[c_1174720]) ).
tff(c_1174798,plain,
product(e_6,e_5,e_2),
inference(splitLeft,[status(thm)],[c_1174796]) ).
tff(c_1175072,plain,
! [X_17881] :
( product(X_17881,e_6,e_2)
| ~ product(X_17881,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1174798,c_124]) ).
tff(c_1175125,plain,
! [X_17881] :
( product(X_17881,e_2,e_5)
| ~ product(e_2,e_3,e_6)
| ~ product(X_17881,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1175072,c_1170992]) ).
tff(c_1175407,plain,
~ product(e_2,e_3,e_6),
inference(splitLeft,[status(thm)],[c_1175125]) ).
tff(c_1175410,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_1175407]) ).
tff(c_1175413,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48,c_1175410]) ).
tff(c_1175414,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1174479,c_1175413]) ).
tff(c_1175430,plain,
product(e_2,e_3,e_1),
inference(splitLeft,[status(thm)],[c_1175414]) ).
tff(c_1175582,plain,
! [X_17896] :
( product(X_17896,e_2,e_1)
| ~ product(X_17896,e_3,e_2) ),
inference(resolution,[status(thm)],[c_1175430,c_124]) ).
tff(c_1175586,plain,
product(e_5,e_2,e_1),
inference(resolution,[status(thm)],[c_1174062,c_1175582]) ).
tff(c_1175638,plain,
( product(e_5,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1175586,c_1884]) ).
tff(c_1175660,plain,
( product(e_5,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1175638]) ).
tff(c_1175661,plain,
product(e_5,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1175660]) ).
tff(c_1177572,plain,
! [X_17932] :
( equalish(e_5,X_17932)
| ~ next(X_17932,e_3)
| product(X_17932,e_1,e_2)
| product(X_17932,e_1,e_1)
| ~ group_element(X_17932) ),
inference(resolution,[status(thm)],[c_1175661,c_314]) ).
tff(c_1177603,plain,
( equalish(e_5,e_2)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1177572,c_1484]) ).
tff(c_1177656,plain,
( equalish(e_5,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1177603]) ).
tff(c_1177658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_98,c_1177656]) ).
tff(c_1177659,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_1175414]) ).
tff(c_1177709,plain,
product(e_2,e_3,e_4),
inference(splitLeft,[status(thm)],[c_1177659]) ).
tff(c_1177868,plain,
! [X_17940] :
( product(X_17940,e_2,e_4)
| ~ product(X_17940,e_3,e_2) ),
inference(resolution,[status(thm)],[c_1177709,c_124]) ).
tff(c_1177872,plain,
product(e_5,e_2,e_4),
inference(resolution,[status(thm)],[c_1174062,c_1177868]) ).
tff(c_1178068,plain,
! [X_17944] :
( product(X_17944,e_5,e_4)
| ~ product(X_17944,e_2,e_5) ),
inference(resolution,[status(thm)],[c_1177872,c_124]) ).
tff(c_1174797,plain,
~ product(e_6,e_5,e_4),
inference(splitRight,[status(thm)],[c_1174720]) ).
tff(c_1178112,plain,
~ product(e_6,e_2,e_5),
inference(resolution,[status(thm)],[c_1178068,c_1174797]) ).
tff(c_1178211,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1005560,c_1178112]) ).
tff(c_1178232,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1178211]) ).
tff(c_1178536,plain,
product(e_6,e_2,e_1),
inference(splitLeft,[status(thm)],[c_1178232]) ).
tff(c_1178540,plain,
( product(e_6,e_1,e_3)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1178536,c_1884]) ).
tff(c_1178562,plain,
( product(e_6,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1178540]) ).
tff(c_1178563,plain,
product(e_6,e_1,e_3),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1178562]) ).
tff(c_1178583,plain,
equalish(e_1,e_6),
inference(resolution,[status(thm)],[c_1178563,c_1133212]) ).
tff(c_1178625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_1178583]) ).
tff(c_1178626,plain,
( product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4) ),
inference(splitRight,[status(thm)],[c_1178232]) ).
tff(c_1178676,plain,
product(e_6,e_2,e_4),
inference(splitLeft,[status(thm)],[c_1178626]) ).
tff(c_1177912,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_2,e_4) ),
inference(resolution,[status(thm)],[c_1177872,c_122]) ).
tff(c_1178681,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_1178676,c_1177912]) ).
tff(c_1178706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_1178681]) ).
tff(c_1178707,plain,
( product(e_6,e_2,e_3)
| product(e_6,e_2,e_2) ),
inference(splitRight,[status(thm)],[c_1178626]) ).
tff(c_1178709,plain,
product(e_6,e_2,e_2),
inference(splitLeft,[status(thm)],[c_1178707]) ).
tff(c_1174842,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1174798,c_120]) ).
tff(c_1178714,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_1178709,c_1174842]) ).
tff(c_1178741,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_1178714]) ).
tff(c_1178742,plain,
product(e_6,e_2,e_3),
inference(splitRight,[status(thm)],[c_1178707]) ).
tff(c_1178746,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1178742,c_1133212]) ).
tff(c_1178773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1178746]) ).
tff(c_1178774,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_1177659]) ).
tff(c_1178824,plain,
product(e_2,e_3,e_2),
inference(splitLeft,[status(thm)],[c_1178774]) ).
tff(c_1174115,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_3,e_2) ),
inference(resolution,[status(thm)],[c_1174062,c_122]) ).
tff(c_1178831,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_1178824,c_1174115]) ).
tff(c_1178853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_1178831]) ).
tff(c_1178854,plain,
product(e_2,e_3,e_3),
inference(splitRight,[status(thm)],[c_1178774]) ).
tff(c_1178861,plain,
( equalish(e_3,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1178854,c_312]) ).
tff(c_1178882,plain,
( equalish(e_3,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1178861]) ).
tff(c_1178884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_76,c_1178882]) ).
tff(c_1178886,plain,
product(e_2,e_3,e_6),
inference(splitRight,[status(thm)],[c_1175125]) ).
tff(c_1178935,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_1178886,c_1171156]) ).
tff(c_1178958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1178935]) ).
tff(c_1178959,plain,
product(e_6,e_5,e_3),
inference(splitRight,[status(thm)],[c_1174796]) ).
tff(c_1178965,plain,
( equalish(e_3,e_2)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1178959,c_1174298]) ).
tff(c_1178988,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1170730,c_1178965]) ).
tff(c_1178990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1178988]) ).
tff(c_1178992,plain,
product(e_2,e_3,e_5),
inference(splitRight,[status(thm)],[c_1174454]) ).
tff(c_1178999,plain,
equalish(e_2,e_6),
inference(resolution,[status(thm)],[c_1178992,c_1170752]) ).
tff(c_1179022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74,c_1178999]) ).
tff(c_1179023,plain,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_1174018]) ).
tff(c_1179050,plain,
product(e_5,e_3,e_4),
inference(splitLeft,[status(thm)],[c_1179023]) ).
tff(c_1179076,plain,
! [X_18] :
( product(X_18,e_5,e_4)
| ~ product(X_18,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1179050,c_124]) ).
tff(c_1179162,plain,
! [X_17966] :
( product(X_17966,e_5,e_4)
| ~ product(X_17966,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1179050,c_124]) ).
tff(c_1179215,plain,
! [W_17971,X_17972] :
( equalish(W_17971,e_4)
| ~ product(X_17972,e_5,W_17971)
| ~ product(X_17972,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1179162,c_118]) ).
tff(c_1179230,plain,
( equalish(e_5,e_4)
| ~ product(e_6,e_3,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_1005560,c_1179215]) ).
tff(c_1179263,plain,
( equalish(e_5,e_4)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1170730,c_1179230]) ).
tff(c_1179264,plain,
( product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_102,c_1179263]) ).
tff(c_1179497,plain,
product(e_6,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1179264]) ).
tff(c_1179196,plain,
! [W_8,X_17966] :
( equalish(W_8,e_4)
| ~ product(X_17966,e_5,W_8)
| ~ product(X_17966,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1179162,c_118]) ).
tff(c_1179558,plain,
( equalish(e_1,e_4)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1179497,c_1179196]) ).
tff(c_1179576,plain,
equalish(e_1,e_4),
inference(demodulation,[status(thm),theory(equality)],[c_1170730,c_1179558]) ).
tff(c_1179578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_1179576]) ).
tff(c_1179579,plain,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4) ),
inference(splitRight,[status(thm)],[c_1179264]) ).
tff(c_1179581,plain,
product(e_6,e_5,e_4),
inference(splitLeft,[status(thm)],[c_1179579]) ).
tff(c_1179837,plain,
! [X_17984] :
( product(X_17984,e_6,e_4)
| ~ product(X_17984,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1179581,c_124]) ).
tff(c_1170532,plain,
! [W_8] :
( equalish(W_8,e_5)
| ~ product(e_3,e_6,W_8) ),
inference(resolution,[status(thm)],[c_1170509,c_118]) ).
tff(c_1179856,plain,
( equalish(e_4,e_5)
| ~ product(e_3,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1179837,c_1170532]) ).
tff(c_1179893,plain,
~ product(e_3,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_92,c_1179856]) ).
tff(c_1179927,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ group_element(e_5)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_116,c_1179893]) ).
tff(c_1179930,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_52,c_1179927]) ).
tff(c_1184111,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1179930]) ).
tff(c_1179193,plain,
! [X_18,X_17966] :
( product(X_18,X_17966,e_4)
| ~ product(X_18,e_5,X_17966)
| ~ product(X_17966,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1179162,c_124]) ).
tff(c_1184131,plain,
( product(e_3,e_1,e_4)
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1184111,c_1179193]) ).
tff(c_1184321,plain,
~ product(e_1,e_3,e_5),
inference(splitLeft,[status(thm)],[c_1184131]) ).
tff(c_1179077,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_5,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1179050,c_120]) ).
tff(c_1179847,plain,
( equalish(e_6,e_3)
| ~ product(e_5,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1179837,c_1179077]) ).
tff(c_1179886,plain,
~ product(e_5,e_5,e_6),
inference(negUnitSimplification,[status(thm)],[c_110,c_1179847]) ).
tff(c_1179921,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_116,c_1179886]) ).
tff(c_1179924,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1179921]) ).
tff(c_1184358,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1179924]) ).
tff(c_1184148,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_1184111,c_122]) ).
tff(c_1184361,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_1184358,c_1184148]) ).
tff(c_1184384,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_1184361]) ).
tff(c_1184385,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_1179924]) ).
tff(c_1184387,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_1184385]) ).
tff(c_1184430,plain,
! [W_18088] :
( equalish(W_18088,e_5)
| ~ product(e_5,W_18088,e_5) ),
inference(resolution,[status(thm)],[c_1184387,c_120]) ).
tff(c_1184441,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_1133416,c_1184430]) ).
tff(c_1184476,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1184441]) ).
tff(c_1184477,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_1184476]) ).
tff(c_1184624,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1184477]) ).
tff(c_1184656,plain,
( product(e_5,e_1,e_5)
| ~ product(e_1,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1184624,c_1170992]) ).
tff(c_1184876,plain,
~ product(e_1,e_3,e_6),
inference(splitLeft,[status(thm)],[c_1184656]) ).
tff(c_1184880,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_1184876]) ).
tff(c_1184883,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_48,c_1184880]) ).
tff(c_1184884,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1184321,c_1184883]) ).
tff(c_1185340,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_1184884]) ).
tff(c_1185503,plain,
! [X_18110] :
( product(X_18110,e_1,e_1)
| ~ product(X_18110,e_3,e_1) ),
inference(resolution,[status(thm)],[c_1185340,c_124]) ).
tff(c_1185506,plain,
product(e_1,e_1,e_1),
inference(resolution,[status(thm)],[c_1185340,c_1185503]) ).
tff(c_1185510,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_1185506]) ).
tff(c_1185511,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_1184884]) ).
tff(c_1185513,plain,
product(e_1,e_3,e_4),
inference(splitLeft,[status(thm)],[c_1185511]) ).
tff(c_1182278,plain,
product(e_3,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1179930]) ).
tff(c_1182298,plain,
( product(e_3,e_1,e_4)
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1182278,c_1179193]) ).
tff(c_1182482,plain,
~ product(e_1,e_3,e_5),
inference(splitLeft,[status(thm)],[c_1182298]) ).
tff(c_1182519,plain,
product(e_5,e_5,e_1),
inference(splitLeft,[status(thm)],[c_1179924]) ).
tff(c_1182315,plain,
! [W_14] :
( equalish(W_14,e_3)
| ~ product(W_14,e_5,e_1) ),
inference(resolution,[status(thm)],[c_1182278,c_122]) ).
tff(c_1182522,plain,
equalish(e_5,e_3),
inference(resolution,[status(thm)],[c_1182519,c_1182315]) ).
tff(c_1182545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_1182522]) ).
tff(c_1182546,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(splitRight,[status(thm)],[c_1179924]) ).
tff(c_1182548,plain,
product(e_5,e_5,e_5),
inference(splitLeft,[status(thm)],[c_1182546]) ).
tff(c_1182591,plain,
! [W_18049] :
( equalish(W_18049,e_5)
| ~ product(e_5,W_18049,e_5) ),
inference(resolution,[status(thm)],[c_1182548,c_120]) ).
tff(c_1182602,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[c_1133416,c_1182591]) ).
tff(c_1182637,plain,
( equalish(e_6,e_5)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1182602]) ).
tff(c_1182638,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_114,c_1182637]) ).
tff(c_1182785,plain,
product(e_5,e_6,e_1),
inference(splitLeft,[status(thm)],[c_1182638]) ).
tff(c_1182817,plain,
( product(e_5,e_1,e_5)
| ~ product(e_1,e_3,e_6) ),
inference(resolution,[status(thm)],[c_1182785,c_1170992]) ).
tff(c_1183037,plain,
~ product(e_1,e_3,e_6),
inference(splitLeft,[status(thm)],[c_1182817]) ).
tff(c_1183040,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_116,c_1183037]) ).
tff(c_1183043,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_48,c_1183040]) ).
tff(c_1183044,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1182482,c_1183043]) ).
tff(c_1183346,plain,
product(e_1,e_3,e_1),
inference(splitLeft,[status(thm)],[c_1183044]) ).
tff(c_1183509,plain,
! [X_18069] :
( product(X_18069,e_1,e_1)
| ~ product(X_18069,e_3,e_1) ),
inference(resolution,[status(thm)],[c_1183346,c_124]) ).
tff(c_1183512,plain,
product(e_1,e_1,e_1),
inference(resolution,[status(thm)],[c_1183346,c_1183509]) ).
tff(c_1183516,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_1183512]) ).
tff(c_1183517,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_1183044]) ).
tff(c_1183520,plain,
product(e_1,e_3,e_4),
inference(splitLeft,[status(thm)],[c_1183517]) ).
tff(c_1179580,plain,
~ product(e_6,e_5,e_1),
inference(splitRight,[status(thm)],[c_1179264]) ).
tff(c_1179285,plain,
! [X_17973,X_17974] :
( product(X_17973,X_17974,e_4)
| ~ product(X_17973,e_5,X_17974)
| ~ product(X_17974,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1179162,c_124]) ).
tff(c_1179312,plain,
! [X_18] :
( product(X_18,e_4,e_4)
| ~ product(e_4,e_3,e_5)
| ~ product(X_18,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1179076,c_1179285]) ).
tff(c_1179337,plain,
~ product(e_4,e_3,e_5),
inference(splitLeft,[status(thm)],[c_1179312]) ).
tff(c_1179887,plain,
! [X_17984] :
( product(X_17984,e_4,e_5)
| ~ product(e_4,e_3,e_6)
| ~ product(X_17984,e_5,e_6) ),
inference(resolution,[status(thm)],[c_1179837,c_1170992]) ).
tff(c_1180128,plain,
~ product(e_4,e_3,e_6),
inference(splitLeft,[status(thm)],[c_1179887]) ).
tff(c_1180131,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_116,c_1180128]) ).
tff(c_1180134,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_48,c_1180131]) ).
tff(c_1180135,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1179337,c_1180134]) ).
tff(c_1180143,plain,
product(e_4,e_3,e_1),
inference(splitLeft,[status(thm)],[c_1180135]) ).
tff(c_1180295,plain,
! [X_17998] :
( product(X_17998,e_4,e_1)
| ~ product(X_17998,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1180143,c_124]) ).
tff(c_1180444,plain,
! [X_18005,X_18006] :
( product(X_18005,X_18006,e_1)
| ~ product(X_18005,e_4,X_18006)
| ~ product(X_18006,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1180295,c_124]) ).
tff(c_1180455,plain,
( product(e_6,e_5,e_1)
| ~ product(e_5,e_3,e_4)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[c_1005560,c_1180444]) ).
tff(c_1180480,plain,
( product(e_6,e_5,e_1)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_50,c_1179050,c_1180455]) ).
tff(c_1180481,plain,
( product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1179580,c_1180480]) ).
tff(c_1180499,plain,
product(e_6,e_4,e_1),
inference(splitLeft,[status(thm)],[c_1180481]) ).
tff(c_1180329,plain,
! [W_14,X_17998] :
( equalish(W_14,X_17998)
| ~ product(W_14,e_4,e_1)
| ~ product(X_17998,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1180295,c_122]) ).
tff(c_1180690,plain,
! [X_18010] :
( equalish(e_6,X_18010)
| ~ product(X_18010,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1180499,c_1180329]) ).
tff(c_1180693,plain,
equalish(e_6,e_5),
inference(resolution,[status(thm)],[c_1179050,c_1180690]) ).
tff(c_1180697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114,c_1180693]) ).
tff(c_1180698,plain,
( product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4) ),
inference(splitRight,[status(thm)],[c_1180481]) ).
tff(c_1180761,plain,
product(e_6,e_4,e_4),
inference(splitLeft,[status(thm)],[c_1180698]) ).
tff(c_1179625,plain,
! [W_11] :
( equalish(W_11,e_5)
| ~ product(e_6,W_11,e_4) ),
inference(resolution,[status(thm)],[c_1179581,c_120]) ).
tff(c_1180771,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_1180761,c_1179625]) ).
tff(c_1180797,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_1180771]) ).
tff(c_1180798,plain,
( product(e_6,e_4,e_3)
| product(e_6,e_4,e_2) ),
inference(splitRight,[status(thm)],[c_1180698]) ).
tff(c_1180800,plain,
product(e_6,e_4,e_2),
inference(splitLeft,[status(thm)],[c_1180798]) ).
tff(c_1180327,plain,
! [X_18,X_17998] :
( product(X_18,X_17998,e_1)
| ~ product(X_18,e_4,X_17998)
| ~ product(X_17998,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1180295,c_124]) ).
tff(c_1180820,plain,
( product(e_6,e_2,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1180800,c_1180327]) ).
tff(c_1181087,plain,
~ product(e_2,e_3,e_4),
inference(splitLeft,[status(thm)],[c_1180820]) ).
tff(c_1180998,plain,
! [X_18015] :
( product(X_18015,e_6,e_2)
| ~ product(X_18015,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1180800,c_124]) ).
tff(c_1181048,plain,
! [X_18015] :
( product(X_18015,e_2,e_5)
| ~ product(e_2,e_3,e_6)
| ~ product(X_18015,e_4,e_6) ),
inference(resolution,[status(thm)],[c_1180998,c_1170992]) ).
tff(c_1181347,plain,
~ product(e_2,e_3,e_6),
inference(splitLeft,[status(thm)],[c_1181048]) ).
tff(c_1181350,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_116,c_1181347]) ).
tff(c_1181353,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_48,c_1181350]) ).
tff(c_1181354,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_1181087,c_1181353]) ).
tff(c_1181369,plain,
product(e_2,e_3,e_1),
inference(splitLeft,[status(thm)],[c_1181354]) ).
tff(c_1180171,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_3,e_1) ),
inference(resolution,[status(thm)],[c_1180143,c_122]) ).
tff(c_1181374,plain,
equalish(e_2,e_4),
inference(resolution,[status(thm)],[c_1181369,c_1180171]) ).
tff(c_1181394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_1181374]) ).
tff(c_1181395,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_5) ),
inference(splitRight,[status(thm)],[c_1181354]) ).
tff(c_1181397,plain,
product(e_2,e_3,e_5),
inference(splitLeft,[status(thm)],[c_1181395]) ).
tff(c_1179195,plain,
! [W_14,X_17966] :
( equalish(W_14,X_17966)
| ~ product(W_14,e_5,e_4)
| ~ product(X_17966,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1179162,c_122]) ).
tff(c_1179609,plain,
! [X_17966] :
( equalish(e_6,X_17966)
| ~ product(X_17966,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1179581,c_1179195]) ).
tff(c_1181403,plain,
equalish(e_6,e_2),
inference(resolution,[status(thm)],[c_1181397,c_1179609]) ).
tff(c_1181430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_1181403]) ).
tff(c_1181431,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_1181395]) ).
tff(c_1181475,plain,
product(e_2,e_3,e_2),
inference(splitLeft,[status(thm)],[c_1181431]) ).
tff(c_1181662,plain,
! [X_18030] :
( product(X_18030,e_2,e_2)
| ~ product(X_18030,e_3,e_2) ),
inference(resolution,[status(thm)],[c_1181475,c_124]) ).
tff(c_1181666,plain,
product(e_2,e_2,e_2),
inference(resolution,[status(thm)],[c_1181475,c_1181662]) ).
tff(c_1181507,plain,
! [W_11] :
( equalish(W_11,e_3)
| ~ product(e_2,W_11,e_2) ),
inference(resolution,[status(thm)],[c_1181475,c_120]) ).
tff(c_1181669,plain,
equalish(e_2,e_3),
inference(resolution,[status(thm)],[c_1181666,c_1181507]) ).
tff(c_1181694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68,c_1181669]) ).
tff(c_1181695,plain,
product(e_2,e_3,e_3),
inference(splitRight,[status(thm)],[c_1181431]) ).
tff(c_1181702,plain,
( equalish(e_3,e_1)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1181695,c_312]) ).
tff(c_1181723,plain,
( equalish(e_3,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1181702]) ).
tff(c_1181725,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_76,c_1181723]) ).
tff(c_1181727,plain,
product(e_2,e_3,e_6),
inference(splitRight,[status(thm)],[c_1181048]) ).
tff(c_1181730,plain,
equalish(e_3,e_2),
inference(resolution,[status(thm)],[c_1181727,c_1171156]) ).
tff(c_1181753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1181730]) ).
tff(c_1181755,plain,
product(e_2,e_3,e_4),
inference(splitRight,[status(thm)],[c_1180820]) ).
tff(c_1179078,plain,
! [W_14] :
( equalish(W_14,e_5)
| ~ product(W_14,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1179050,c_122]) ).
tff(c_1181762,plain,
equalish(e_2,e_5),
inference(resolution,[status(thm)],[c_1181755,c_1179078]) ).
tff(c_1181786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_1181762]) ).
tff(c_1181787,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(splitRight,[status(thm)],[c_1180135]) ).
tff(c_1181845,plain,
product(e_4,e_3,e_4),
inference(splitLeft,[status(thm)],[c_1181787]) ).
tff(c_1181852,plain,
equalish(e_4,e_5),
inference(resolution,[status(thm)],[c_1181845,c_1179078]) ).
tff(c_1181874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_1181852]) ).
tff(c_1181875,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_1181787]) ).
tff(c_1181877,plain,
product(e_4,e_3,e_2),
inference(splitLeft,[status(thm)],[c_1181875]) ).
tff(c_1182054,plain,
! [X_18035] :
( product(X_18035,e_4,e_2)
| ~ product(X_18035,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1181877,c_124]) ).
tff(c_1182060,plain,
! [X_18035] :
( equalish(e_4,e_1)
| ~ next(X_18035,e_2)
| product(X_18035,e_1,e_1)
| ~ group_element(X_18035)
| ~ product(X_18035,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1182054,c_1792]) ).
tff(c_1182077,plain,
! [X_18035] :
( ~ next(X_18035,e_2)
| product(X_18035,e_1,e_1)
| ~ group_element(X_18035)
| ~ product(X_18035,e_3,e_4) ),
inference(negUnitSimplification,[status(thm)],[c_86,c_1182060]) ).
tff(c_1183523,plain,
( ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1183520,c_1182077]) ).
tff(c_1183547,plain,
product(e_1,e_1,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1183523]) ).
tff(c_1183549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_1183547]) ).
tff(c_1183550,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_1183517]) ).
tff(c_1183552,plain,
product(e_1,e_3,e_2),
inference(splitLeft,[status(thm)],[c_1183550]) ).
tff(c_1181905,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_3,e_2) ),
inference(resolution,[status(thm)],[c_1181877,c_122]) ).
tff(c_1183557,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_1183552,c_1181905]) ).
tff(c_1183577,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_1183557]) ).
tff(c_1183578,plain,
product(e_1,e_3,e_3),
inference(splitRight,[status(thm)],[c_1183550]) ).
tff(c_1183581,plain,
( equalish(e_3,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1183578,c_1885]) ).
tff(c_1183598,plain,
( equalish(e_3,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1183581]) ).
tff(c_1183600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_78,c_1183598]) ).
tff(c_1183602,plain,
product(e_1,e_3,e_6),
inference(splitRight,[status(thm)],[c_1182817]) ).
tff(c_1183605,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_1183602,c_1171156]) ).
tff(c_1183628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1183605]) ).
tff(c_1183630,plain,
product(e_1,e_3,e_5),
inference(splitRight,[status(thm)],[c_1182298]) ).
tff(c_1183636,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_1183630,c_1179609]) ).
tff(c_1183663,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_1183636]) ).
tff(c_1183664,plain,
product(e_4,e_3,e_3),
inference(splitRight,[status(thm)],[c_1181875]) ).
tff(c_1183857,plain,
! [X_18073] :
( product(X_18073,e_4,e_3)
| ~ product(X_18073,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1183664,c_124]) ).
tff(c_1183867,plain,
! [X_18073] :
( equalish(e_4,e_2)
| ~ next(X_18073,e_2)
| product(X_18073,e_1,e_1)
| ~ group_element(X_18073)
| ~ product(X_18073,e_3,e_4) ),
inference(resolution,[status(thm)],[c_1183857,c_1885]) ).
tff(c_1183889,plain,
! [X_18073] :
( ~ next(X_18073,e_2)
| product(X_18073,e_1,e_1)
| ~ group_element(X_18073)
| ~ product(X_18073,e_3,e_4) ),
inference(negUnitSimplification,[status(thm)],[c_88,c_1183867]) ).
tff(c_1185519,plain,
( ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1185513,c_1183889]) ).
tff(c_1185547,plain,
product(e_1,e_1,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1185519]) ).
tff(c_1185549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_1185547]) ).
tff(c_1185550,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(splitRight,[status(thm)],[c_1185511]) ).
tff(c_1185552,plain,
product(e_1,e_3,e_2),
inference(splitLeft,[status(thm)],[c_1185550]) ).
tff(c_1185554,plain,
( equalish(e_3,e_1)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1185552,c_1792]) ).
tff(c_1185569,plain,
( equalish(e_3,e_1)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1185554]) ).
tff(c_1185571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_952984,c_76,c_1185569]) ).
tff(c_1185572,plain,
product(e_1,e_3,e_3),
inference(splitRight,[status(thm)],[c_1185550]) ).
tff(c_1183700,plain,
! [W_14] :
( equalish(W_14,e_4)
| ~ product(W_14,e_3,e_3) ),
inference(resolution,[status(thm)],[c_1183664,c_122]) ).
tff(c_1185578,plain,
equalish(e_1,e_4),
inference(resolution,[status(thm)],[c_1185572,c_1183700]) ).
tff(c_1185600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60,c_1185578]) ).
tff(c_1185602,plain,
product(e_1,e_3,e_6),
inference(splitRight,[status(thm)],[c_1184656]) ).
tff(c_1185605,plain,
equalish(e_3,e_1),
inference(resolution,[status(thm)],[c_1185602,c_1171156]) ).
tff(c_1185628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1185605]) ).
tff(c_1185630,plain,
product(e_1,e_3,e_5),
inference(splitRight,[status(thm)],[c_1184131]) ).
tff(c_1185636,plain,
equalish(e_6,e_1),
inference(resolution,[status(thm)],[c_1185630,c_1179609]) ).
tff(c_1185663,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106,c_1185636]) ).
tff(c_1185665,plain,
product(e_4,e_3,e_6),
inference(splitRight,[status(thm)],[c_1179887]) ).
tff(c_1185668,plain,
equalish(e_3,e_4),
inference(resolution,[status(thm)],[c_1185665,c_1171156]) ).
tff(c_1185691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_1185668]) ).
tff(c_1185693,plain,
~ product(e_6,e_5,e_4),
inference(splitRight,[status(thm)],[c_1179579]) ).
tff(c_1185696,plain,
~ product(e_6,e_3,e_5),
inference(resolution,[status(thm)],[c_1179076,c_1185693]) ).
tff(c_1185700,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1170730,c_1185696]) ).
tff(c_1185702,plain,
product(e_4,e_3,e_5),
inference(splitRight,[status(thm)],[c_1179312]) ).
tff(c_1185709,plain,
equalish(e_4,e_6),
inference(resolution,[status(thm)],[c_1185702,c_1170752]) ).
tff(c_1185732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94,c_1185709]) ).
tff(c_1185733,plain,
product(e_5,e_3,e_3),
inference(splitRight,[status(thm)],[c_1179023]) ).
tff(c_1185926,plain,
! [X_18114] :
( product(X_18114,e_5,e_3)
| ~ product(X_18114,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1185733,c_124]) ).
tff(c_1185934,plain,
( equalish(e_5,e_6)
| ~ product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[c_1185926,c_1133212]) ).
tff(c_1185955,plain,
equalish(e_5,e_6),
inference(demodulation,[status(thm),theory(equality)],[c_1170730,c_1185934]) ).
tff(c_1185957,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1185955]) ).
tff(c_1185958,plain,
product(e_3,e_5,e_5),
inference(splitRight,[status(thm)],[c_1171222]) ).
tff(c_1170530,plain,
! [W_11] :
( equalish(W_11,e_6)
| ~ product(e_3,W_11,e_5) ),
inference(resolution,[status(thm)],[c_1170509,c_120]) ).
tff(c_1185966,plain,
equalish(e_5,e_6),
inference(resolution,[status(thm)],[c_1185958,c_1170530]) ).
tff(c_1185989,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104,c_1185966]) ).
tff(c_1185990,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_3) ),
inference(splitRight,[status(thm)],[c_1170507]) ).
tff(c_1186041,plain,
product(e_3,e_6,e_3),
inference(splitLeft,[status(thm)],[c_1185990]) ).
tff(c_1186044,plain,
equalish(e_3,e_6),
inference(resolution,[status(thm)],[c_1186041,c_1133213]) ).
tff(c_1186064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84,c_1186044]) ).
tff(c_1186065,plain,
product(e_3,e_6,e_4),
inference(splitRight,[status(thm)],[c_1185990]) ).
tff(c_1186068,plain,
( equalish(e_6,e_1)
| ~ next(e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[c_1186065,c_954056]) ).
tff(c_1186083,plain,
( equalish(e_6,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_6,c_1186068]) ).
tff(c_1186084,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(negUnitSimplification,[status(thm)],[c_106,c_1186083]) ).
tff(c_1186532,plain,
product(e_3,e_1,e_1),
inference(splitLeft,[status(thm)],[c_1186084]) ).
tff(c_1186536,plain,
( product(e_3,e_1,e_2)
| ~ next(e_1,e_2)
| product(e_1,e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[c_1186532,c_1790]) ).
tff(c_1186561,plain,
( product(e_3,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_2,c_1186536]) ).
tff(c_1186562,plain,
product(e_3,e_1,e_2),
inference(negUnitSimplification,[status(thm)],[c_952984,c_1186561]) ).
tff(c_1186748,plain,
! [W_18134] :
( equalish(W_18134,e_1)
| ~ product(e_3,e_1,W_18134) ),
inference(resolution,[status(thm)],[c_1186532,c_118]) ).
tff(c_1186751,plain,
equalish(e_2,e_1),
inference(resolution,[status(thm)],[c_1186562,c_1186748]) ).
tff(c_1186858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_1186751]) ).
tff(c_1186859,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(splitRight,[status(thm)],[c_1186084]) ).
tff(c_1186943,plain,
product(e_3,e_1,e_3),
inference(splitLeft,[status(thm)],[c_1186859]) ).
tff(c_1187323,plain,
! [X_18140] :
( product(X_18140,e_3,e_3)
| ~ product(X_18140,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1186943,c_124]) ).
tff(c_1187016,plain,
! [W_11] :
( equalish(W_11,e_1)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1186943,c_120]) ).
tff(c_1187327,plain,
( equalish(e_3,e_1)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[c_1187323,c_1187016]) ).
tff(c_1187354,plain,
equalish(e_3,e_1),
inference(demodulation,[status(thm),theory(equality)],[c_1186943,c_1187327]) ).
tff(c_1187356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76,c_1187354]) ).
tff(c_1187357,plain,
product(e_3,e_1,e_2),
inference(splitRight,[status(thm)],[c_1186859]) ).
tff(c_1187372,plain,
( product(e_3,e_2,e_3)
| ~ next(e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[c_1187357,c_311]) ).
tff(c_1187411,plain,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_4,c_1187372]) ).
tff(c_1187412,plain,
product(e_3,e_2,e_3),
inference(negUnitSimplification,[status(thm)],[c_1276,c_1484,c_1187411]) ).
tff(c_1188087,plain,
! [X_18148] :
( product(X_18148,e_3,e_3)
| ~ product(X_18148,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1187412,c_124]) ).
tff(c_1187481,plain,
! [W_11] :
( equalish(W_11,e_2)
| ~ product(e_3,W_11,e_3) ),
inference(resolution,[status(thm)],[c_1187412,c_120]) ).
tff(c_1188091,plain,
( equalish(e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[c_1188087,c_1187481]) ).
tff(c_1188118,plain,
equalish(e_3,e_2),
inference(demodulation,[status(thm),theory(equality)],[c_1187412,c_1188091]) ).
tff(c_1188120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78,c_1188118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP128-2.006 : TPTP v9.0.0. Released v1.2.0.
% 0.06/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 7 21:24:08 EDT 2025
% 0.14/0.34 % CPUTime :
% 228.77/208.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 243.43/222.06
% 243.43/222.06 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------