%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP400-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:25:54 PM UTC 2026
% Result : Unsatisfiable 165.32s 21.37s
% Output : Proof 165.32s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(t6,axiom,
sFlat0 = commutator(a,c),
introduced(definition) ).
cnf(t44,plain,
commutator(a,c) = sFlat0,
inference(orient,[status(thm)],[t6]) ).
cnf(t7,axiom,
sFlat1 = commutator(b,c),
introduced(definition) ).
cnf(t48,plain,
commutator(b,c) = sFlat1,
inference(orient,[status(thm)],[t7]) ).
cnf(t8,axiom,
sFlat2 = multiply(commutator(a,c),commutator(b,c)),
introduced(definition) ).
cnf(t27,plain,
multiply(commutator(a,c),commutator(b,c)) = sFlat2,
inference(orient,[status(thm)],[t8]) ).
cnf(t261645,plain,
multiply(sFlat0,commutator(b,c)) = sFlat2,
inference(step,[status(thm)],[t27,t44]) ).
cnf(t47,plain,
multiply(sFlat0,commutator(b,c)) = sFlat2,
inference(rw,[status(thm)],[t261645]) ).
cnf(t261646,plain,
multiply(sFlat0,sFlat1) = sFlat2,
inference(step,[status(thm)],[t47,t48]) ).
cnf(t51,plain,
multiply(sFlat0,sFlat1) = sFlat2,
inference(orient,[status(thm)],[t261646]) ).
cnf(t9,axiom,
sFlat3 = multiply(a,b),
introduced(definition) ).
cnf(t33,plain,
multiply(a,b) = sFlat3,
inference(orient,[status(thm)],[t9]) ).
cnf(t10,axiom,
sFlat4 = commutator(multiply(a,b),c),
introduced(definition) ).
cnf(t261644,plain,
sFlat4 = commutator(sFlat3,c),
inference(step,[status(thm)],[t10,t33]) ).
cnf(t41,plain,
commutator(sFlat3,c) = sFlat4,
inference(orient,[status(thm)],[t261644]) ).
cnf(f1,axiom,
( A = C
| multiply(A,B) != multiply(C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_cancellation) ).
fof(f1_nnf,plain,
! [A,B,C] :
( A = C
| multiply(A,B) != multiply(C,B) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A,B,C] :
( A = C
| multiply(A,B) != multiply(C,B) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( X0 = X2
| multiply(X0,X1) != multiply(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t3,plain,
ifeq(multiply(X1,X2),multiply(X3,X2),X1,X3) = X3,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t13,plain,
ifeq(multiply(X1,X2),multiply(X3,X2),X1,X3) = X3,
inference(orient,[status(thm)],[t3]) ).
cnf(f0,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_multiply) ).
fof(f0_nnf,plain,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t5,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t19,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t5]) ).
cnf(f3,axiom,
multiply(A,B) = multiply(B,multiply(A,commutator(A,B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutator) ).
fof(f3_nnf,plain,
! [A,B] : multiply(A,B) = multiply(B,multiply(A,commutator(A,B))),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [A,B] : multiply(A,B) = multiply(B,multiply(A,commutator(A,B))),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
multiply(X0,X1) = multiply(X1,multiply(X0,commutator(X0,X1))),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t4,plain,
multiply(X1,multiply(X2,commutator(X2,X1))) = multiply(X2,X1),
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t14,plain,
multiply(X1,multiply(X2,commutator(X2,X1))) = multiply(X2,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(f4,axiom,
commutator(commutator(A,B),C) = commutator(A,commutator(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_commutator) ).
fof(f4_nnf,plain,
! [A,B,C] : commutator(commutator(A,B),C) = commutator(A,commutator(B,C)),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [A,B,C] : commutator(commutator(A,B),C) = commutator(A,commutator(B,C)),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
commutator(commutator(X0,X1),X2) = commutator(X0,commutator(X1,X2)),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t1,plain,
commutator(commutator(X1,X2),X3) = commutator(X1,commutator(X2,X3)),
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t39,plain,
commutator(commutator(X1,X2),X3) = commutator(X1,commutator(X2,X3)),
inference(orient,[status(thm)],[t1]) ).
cnf(t42,plain,
commutator(sFlat3,commutator(c,X1)) = commutator(sFlat4,X1),
inference(cp,[status(thm)],[t39,t41]) ).
cnf(t64,plain,
commutator(sFlat3,commutator(c,X1)) = commutator(sFlat4,X1),
inference(orient,[status(thm)],[t42]) ).
cnf(t21,plain,
multiply(X1,multiply(multiply(X2,commutator(X2,X1)),X3)) = multiply(multiply(X2,X1),X3),
inference(cp,[status(thm)],[t19,t14]) ).
cnf(t261656,plain,
multiply(X1,multiply(X2,multiply(commutator(X2,X1),X3))) = multiply(multiply(X2,X1),X3),
inference(step,[status(thm)],[t21,t19]) ).
cnf(t261657,plain,
multiply(X1,multiply(X2,multiply(commutator(X2,X1),X3))) = multiply(X2,multiply(X1,X3)),
inference(step,[status(thm)],[t261656,t19]) ).
cnf(t252,plain,
multiply(X1,multiply(X2,multiply(commutator(X2,X1),X3))) = multiply(X2,multiply(X1,X3)),
inference(orient,[status(thm)],[t261657]) ).
cnf(f2,axiom,
( B = C
| multiply(A,B) != multiply(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_cancellation) ).
fof(f2_nnf,plain,
! [A,B,C] :
( B = C
| multiply(A,B) != multiply(A,C) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B,C] :
( B = C
| multiply(A,B) != multiply(A,C) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( X1 = X2
| multiply(X0,X1) != multiply(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t2,plain,
ifeq(multiply(X1,X2),multiply(X1,X3),X2,X3) = X3,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t12,plain,
ifeq(multiply(X1,X2),multiply(X1,X3),X2,X3) = X3,
inference(orient,[status(thm)],[t2]) ).
cnf(t15,plain,
X1 = ifeq(multiply(X2,X3),multiply(X3,X1),multiply(X2,commutator(X2,X3)),X1),
inference(cp,[status(thm)],[t12,t14]) ).
cnf(t309,plain,
ifeq(multiply(X1,X2),multiply(X2,X3),multiply(X1,commutator(X1,X2)),X3) = X3,
inference(orient,[status(thm)],[t15]) ).
cnf(t0,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t11,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t0]) ).
cnf(t310,plain,
X1 = multiply(X1,commutator(X1,X1)),
inference(cp,[status(thm)],[t309,t11]) ).
cnf(t375,plain,
multiply(X1,commutator(X1,X1)) = X1,
inference(orient,[status(thm)],[t310]) ).
cnf(t378,plain,
X1 = ifeq(X2,multiply(X2,X1),commutator(X2,X2),X1),
inference(cp,[status(thm)],[t12,t375]) ).
cnf(t679,plain,
ifeq(X1,multiply(X1,X2),commutator(X1,X1),X2) = X2,
inference(orient,[status(thm)],[t378]) ).
cnf(t394,plain,
multiply(X1,multiply(commutator(X1,X1),X2)) = multiply(X1,X2),
inference(cp,[status(thm)],[t19,t375]) ).
cnf(t443,plain,
multiply(X1,multiply(commutator(X1,X1),X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t394]) ).
cnf(t451,plain,
multiply(X1,commutator(commutator(X1,X1),commutator(X1,X1))) = multiply(X1,commutator(X1,X1)),
inference(cp,[status(thm)],[t443,t375]) ).
cnf(t261683,plain,
multiply(X1,commutator(X1,commutator(X1,commutator(X1,X1)))) = multiply(X1,commutator(X1,X1)),
inference(step,[status(thm)],[t451,t39]) ).
cnf(t261684,plain,
multiply(X1,commutator(X1,commutator(X1,commutator(X1,X1)))) = X1,
inference(step,[status(thm)],[t261683,t375]) ).
cnf(t852,plain,
multiply(X1,commutator(X1,commutator(X1,commutator(X1,X1)))) = X1,
inference(orient,[status(thm)],[t261684]) ).
cnf(t867,plain,
commutator(X1,commutator(X1,commutator(X1,X1))) = ifeq(X1,X1,commutator(X1,X1),commutator(X1,commutator(X1,commutator(X1,X1)))),
inference(cp,[status(thm)],[t679,t852]) ).
cnf(t261691,plain,
commutator(X1,commutator(X1,commutator(X1,X1))) = commutator(X1,X1),
inference(step,[status(thm)],[t867,t11]) ).
cnf(t1013,plain,
commutator(X1,commutator(X1,commutator(X1,X1))) = commutator(X1,X1),
inference(orient,[status(thm)],[t261691]) ).
cnf(t1026,plain,
multiply(X1,commutator(X1,commutator(X1,X1))) = multiply(commutator(X1,commutator(X1,X1)),multiply(X1,commutator(X1,X1))),
inference(cp,[status(thm)],[t14,t1013]) ).
cnf(t444,plain,
multiply(X1,commutator(commutator(X1,X1),X1)) = multiply(commutator(X1,X1),X1),
inference(cp,[status(thm)],[t443,t14]) ).
cnf(t261668,plain,
multiply(X1,commutator(X1,commutator(X1,X1))) = multiply(commutator(X1,X1),X1),
inference(step,[status(thm)],[t444,t39]) ).
cnf(t596,plain,
multiply(X1,commutator(X1,commutator(X1,X1))) = multiply(commutator(X1,X1),X1),
inference(orient,[status(thm)],[t261668]) ).
cnf(t261697,plain,
multiply(commutator(X1,X1),X1) = multiply(commutator(X1,commutator(X1,X1)),multiply(X1,commutator(X1,X1))),
inference(step,[status(thm)],[t1026,t596]) ).
cnf(t261698,plain,
multiply(commutator(X1,X1),X1) = multiply(commutator(X1,commutator(X1,X1)),X1),
inference(step,[status(thm)],[t261697,t375]) ).
cnf(t1067,plain,
multiply(commutator(X1,commutator(X1,X1)),X1) = multiply(commutator(X1,X1),X1),
inference(orient,[status(thm)],[t261698]) ).
cnf(t1088,plain,
multiply(X1,multiply(commutator(X1,X1),X1)) = multiply(commutator(X1,X1),multiply(X1,multiply(commutator(X1,X1),X1))),
inference(cp,[status(thm)],[t252,t1067]) ).
cnf(t261699,plain,
multiply(X1,X1) = multiply(commutator(X1,X1),multiply(X1,multiply(commutator(X1,X1),X1))),
inference(step,[status(thm)],[t1088,t443]) ).
cnf(t261700,plain,
multiply(X1,X1) = multiply(commutator(X1,X1),multiply(X1,X1)),
inference(step,[status(thm)],[t261699,t443]) ).
cnf(t1089,plain,
multiply(commutator(X1,X1),multiply(X1,X1)) = multiply(X1,X1),
inference(orient,[status(thm)],[t261700]) ).
cnf(t1097,plain,
multiply(commutator(X1,X1),multiply(multiply(X1,X1),X2)) = multiply(multiply(X1,X1),X2),
inference(cp,[status(thm)],[t19,t1089]) ).
cnf(t261745,plain,
multiply(commutator(X1,X1),multiply(X1,multiply(X1,X2))) = multiply(multiply(X1,X1),X2),
inference(step,[status(thm)],[t1097,t19]) ).
cnf(t261746,plain,
multiply(commutator(X1,X1),multiply(X1,multiply(X1,X2))) = multiply(X1,multiply(X1,X2)),
inference(step,[status(thm)],[t261745,t19]) ).
cnf(t1605,plain,
multiply(commutator(X1,X1),multiply(X1,multiply(X1,X2))) = multiply(X1,multiply(X1,X2)),
inference(orient,[status(thm)],[t261746]) ).
cnf(t619,plain,
multiply(X1,commutator(X1,X1)) = multiply(commutator(X1,X1),multiply(commutator(X1,X1),X1)),
inference(cp,[status(thm)],[t14,t596]) ).
cnf(t261705,plain,
X1 = multiply(commutator(X1,X1),multiply(commutator(X1,X1),X1)),
inference(step,[status(thm)],[t619,t375]) ).
cnf(t1152,plain,
multiply(commutator(X1,X1),multiply(commutator(X1,X1),X1)) = X1,
inference(orient,[status(thm)],[t261705]) ).
cnf(t1611,plain,
multiply(commutator(X1,X1),multiply(commutator(X1,X1),X1)) = multiply(commutator(commutator(X1,X1),commutator(X1,X1)),X1),
inference(cp,[status(thm)],[t1605,t1152]) ).
cnf(t261763,plain,
X1 = multiply(commutator(commutator(X1,X1),commutator(X1,X1)),X1),
inference(step,[status(thm)],[t1611,t1152]) ).
cnf(t261764,plain,
X1 = multiply(commutator(X1,commutator(X1,commutator(X1,X1))),X1),
inference(step,[status(thm)],[t261763,t39]) ).
cnf(t261765,plain,
X1 = multiply(commutator(X1,X1),X1),
inference(step,[status(thm)],[t261764,t1013]) ).
cnf(t1816,plain,
multiply(commutator(X1,X1),X1) = X1,
inference(orient,[status(thm)],[t261765]) ).
cnf(t1833,plain,
X1 = ifeq(X2,multiply(X1,X2),commutator(X2,X2),X1),
inference(cp,[status(thm)],[t13,t1816]) ).
cnf(t2919,plain,
ifeq(X1,multiply(X2,X1),commutator(X1,X1),X2) = X2,
inference(orient,[status(thm)],[t1833]) ).
cnf(t1832,plain,
multiply(commutator(X1,X1),multiply(X1,X2)) = multiply(X1,X2),
inference(cp,[status(thm)],[t19,t1816]) ).
cnf(t1956,plain,
multiply(commutator(X1,X1),multiply(X1,X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t1832]) ).
cnf(t2936,plain,
commutator(X1,X1) = ifeq(multiply(X1,X2),multiply(X1,X2),commutator(multiply(X1,X2),multiply(X1,X2)),commutator(X1,X1)),
inference(cp,[status(thm)],[t2919,t1956]) ).
cnf(t261980,plain,
commutator(X1,X1) = commutator(multiply(X1,X2),multiply(X1,X2)),
inference(step,[status(thm)],[t2936,t11]) ).
cnf(t4020,plain,
commutator(multiply(X1,X2),multiply(X1,X2)) = commutator(X1,X1),
inference(orient,[status(thm)],[t261980]) ).
cnf(t50,plain,
multiply(b,c) = multiply(c,multiply(b,sFlat1)),
inference(cp,[status(thm)],[t14,t48]) ).
cnf(t82,plain,
multiply(c,multiply(b,sFlat1)) = multiply(b,c),
inference(orient,[status(thm)],[t50]) ).
cnf(t34,plain,
X1 = ifeq(sFlat3,multiply(a,X1),b,X1),
inference(cp,[status(thm)],[t12,t33]) ).
cnf(t107,plain,
ifeq(sFlat3,multiply(a,X1),b,X1) = X1,
inference(orient,[status(thm)],[t34]) ).
cnf(t36,plain,
multiply(a,multiply(b,X1)) = multiply(sFlat3,X1),
inference(cp,[status(thm)],[t19,t33]) ).
cnf(t57,plain,
multiply(a,multiply(b,X1)) = multiply(sFlat3,X1),
inference(orient,[status(thm)],[t36]) ).
cnf(t108,plain,
multiply(b,X1) = ifeq(sFlat3,multiply(sFlat3,X1),b,multiply(b,X1)),
inference(cp,[status(thm)],[t107,t57]) ).
cnf(t242,plain,
ifeq(sFlat3,multiply(sFlat3,X1),b,multiply(b,X1)) = multiply(b,X1),
inference(orient,[status(thm)],[t108]) ).
cnf(t382,plain,
multiply(b,commutator(sFlat3,sFlat3)) = ifeq(sFlat3,sFlat3,b,multiply(b,commutator(sFlat3,sFlat3))),
inference(cp,[status(thm)],[t242,t375]) ).
cnf(t261659,plain,
multiply(b,commutator(sFlat3,sFlat3)) = b,
inference(step,[status(thm)],[t382,t11]) ).
cnf(t415,plain,
multiply(b,commutator(sFlat3,sFlat3)) = b,
inference(orient,[status(thm)],[t261659]) ).
cnf(t693,plain,
commutator(sFlat3,sFlat3) = ifeq(b,b,commutator(b,b),commutator(sFlat3,sFlat3)),
inference(cp,[status(thm)],[t679,t415]) ).
cnf(t261676,plain,
commutator(sFlat3,sFlat3) = commutator(b,b),
inference(step,[status(thm)],[t693,t11]) ).
cnf(t733,plain,
commutator(b,b) = commutator(sFlat3,sFlat3),
inference(orient,[status(thm)],[t261676]) ).
cnf(t737,plain,
commutator(b,commutator(b,X1)) = commutator(commutator(sFlat3,sFlat3),X1),
inference(cp,[status(thm)],[t39,t733]) ).
cnf(t261680,plain,
commutator(b,commutator(b,X1)) = commutator(sFlat3,commutator(sFlat3,X1)),
inference(step,[status(thm)],[t737,t39]) ).
cnf(t745,plain,
commutator(b,commutator(b,X1)) = commutator(sFlat3,commutator(sFlat3,X1)),
inference(orient,[status(thm)],[t261680]) ).
cnf(t747,plain,
commutator(sFlat3,commutator(sFlat3,c)) = commutator(b,sFlat1),
inference(cp,[status(thm)],[t745,t48]) ).
cnf(t261681,plain,
commutator(sFlat3,sFlat4) = commutator(b,sFlat1),
inference(step,[status(thm)],[t747,t41]) ).
cnf(t753,plain,
commutator(b,sFlat1) = commutator(sFlat3,sFlat4),
inference(orient,[status(thm)],[t261681]) ).
cnf(t756,plain,
multiply(b,sFlat1) = multiply(sFlat1,multiply(b,commutator(sFlat3,sFlat4))),
inference(cp,[status(thm)],[t14,t753]) ).
cnf(t783,plain,
multiply(sFlat1,multiply(b,commutator(sFlat3,sFlat4))) = multiply(b,sFlat1),
inference(orient,[status(thm)],[t756]) ).
cnf(t379,plain,
commutator(X1,X1) = ifeq(multiply(X1,X2),X1,X2,commutator(X1,X1)),
inference(cp,[status(thm)],[t12,t375]) ).
cnf(t1284,plain,
ifeq(multiply(X1,X2),X1,X2,commutator(X1,X1)) = commutator(X1,X1),
inference(orient,[status(thm)],[t379]) ).
cnf(t59,plain,
multiply(sFlat3,multiply(X1,commutator(X1,b))) = multiply(a,multiply(X1,b)),
inference(cp,[status(thm)],[t57,t14]) ).
cnf(t127,plain,
multiply(sFlat3,multiply(X1,commutator(X1,b))) = multiply(a,multiply(X1,b)),
inference(orient,[status(thm)],[t59]) ).
cnf(t447,plain,
multiply(sFlat3,commutator(commutator(sFlat3,sFlat3),b)) = multiply(a,multiply(commutator(sFlat3,sFlat3),b)),
inference(cp,[status(thm)],[t443,t127]) ).
cnf(t261713,plain,
multiply(sFlat3,commutator(sFlat3,commutator(sFlat3,b))) = multiply(a,multiply(commutator(sFlat3,sFlat3),b)),
inference(step,[status(thm)],[t447,t39]) ).
cnf(t1203,plain,
multiply(a,multiply(commutator(sFlat3,sFlat3),b)) = multiply(sFlat3,commutator(sFlat3,commutator(sFlat3,b))),
inference(orient,[status(thm)],[t261713]) ).
cnf(t746,plain,
commutator(sFlat3,commutator(sFlat3,b)) = commutator(b,commutator(sFlat3,sFlat3)),
inference(cp,[status(thm)],[t745,t733]) ).
cnf(t766,plain,
commutator(b,commutator(sFlat3,sFlat3)) = commutator(sFlat3,commutator(sFlat3,b)),
inference(orient,[status(thm)],[t746]) ).
cnf(t769,plain,
multiply(b,commutator(sFlat3,sFlat3)) = multiply(commutator(sFlat3,sFlat3),multiply(b,commutator(sFlat3,commutator(sFlat3,b)))),
inference(cp,[status(thm)],[t14,t766]) ).
cnf(t261708,plain,
b = multiply(commutator(sFlat3,sFlat3),multiply(b,commutator(sFlat3,commutator(sFlat3,b)))),
inference(step,[status(thm)],[t769,t415]) ).
cnf(t418,plain,
multiply(b,multiply(commutator(sFlat3,sFlat3),X1)) = multiply(b,X1),
inference(cp,[status(thm)],[t19,t415]) ).
cnf(t539,plain,
multiply(b,multiply(commutator(sFlat3,sFlat3),X1)) = multiply(b,X1),
inference(orient,[status(thm)],[t418]) ).
cnf(t540,plain,
multiply(b,commutator(commutator(sFlat3,sFlat3),b)) = multiply(commutator(sFlat3,sFlat3),b),
inference(cp,[status(thm)],[t539,t14]) ).
cnf(t261670,plain,
multiply(b,commutator(sFlat3,commutator(sFlat3,b))) = multiply(commutator(sFlat3,sFlat3),b),
inference(step,[status(thm)],[t540,t39]) ).
cnf(t648,plain,
multiply(b,commutator(sFlat3,commutator(sFlat3,b))) = multiply(commutator(sFlat3,sFlat3),b),
inference(orient,[status(thm)],[t261670]) ).
cnf(t261709,plain,
b = multiply(commutator(sFlat3,sFlat3),multiply(commutator(sFlat3,sFlat3),b)),
inference(step,[status(thm)],[t261708,t648]) ).
cnf(t1180,plain,
multiply(commutator(sFlat3,sFlat3),multiply(commutator(sFlat3,sFlat3),b)) = b,
inference(orient,[status(thm)],[t261709]) ).
cnf(t1609,plain,
multiply(commutator(sFlat3,sFlat3),multiply(commutator(sFlat3,sFlat3),b)) = multiply(commutator(commutator(sFlat3,sFlat3),commutator(sFlat3,sFlat3)),b),
inference(cp,[status(thm)],[t1605,t1180]) ).
cnf(t261747,plain,
b = multiply(commutator(commutator(sFlat3,sFlat3),commutator(sFlat3,sFlat3)),b),
inference(step,[status(thm)],[t1609,t1180]) ).
cnf(t261748,plain,
b = multiply(commutator(sFlat3,commutator(sFlat3,commutator(sFlat3,sFlat3))),b),
inference(step,[status(thm)],[t261747,t39]) ).
cnf(t416,plain,
X1 = ifeq(b,multiply(b,X1),commutator(sFlat3,sFlat3),X1),
inference(cp,[status(thm)],[t12,t415]) ).
cnf(t824,plain,
ifeq(b,multiply(b,X1),commutator(sFlat3,sFlat3),X1) = X1,
inference(orient,[status(thm)],[t416]) ).
cnf(t866,plain,
commutator(b,commutator(b,commutator(b,b))) = ifeq(b,b,commutator(sFlat3,sFlat3),commutator(b,commutator(b,commutator(b,b)))),
inference(cp,[status(thm)],[t824,t852]) ).
cnf(t261688,plain,
commutator(sFlat3,commutator(sFlat3,commutator(b,b))) = ifeq(b,b,commutator(sFlat3,sFlat3),commutator(b,commutator(b,commutator(b,b)))),
inference(step,[status(thm)],[t866,t745]) ).
cnf(t261689,plain,
commutator(sFlat3,commutator(sFlat3,commutator(sFlat3,sFlat3))) = ifeq(b,b,commutator(sFlat3,sFlat3),commutator(b,commutator(b,commutator(b,b)))),
inference(step,[status(thm)],[t261688,t733]) ).
cnf(t261690,plain,
commutator(sFlat3,commutator(sFlat3,commutator(sFlat3,sFlat3))) = commutator(sFlat3,sFlat3),
inference(step,[status(thm)],[t261689,t11]) ).
cnf(t1007,plain,
commutator(sFlat3,commutator(sFlat3,commutator(sFlat3,sFlat3))) = commutator(sFlat3,sFlat3),
inference(orient,[status(thm)],[t261690]) ).
cnf(t261749,plain,
b = multiply(commutator(sFlat3,sFlat3),b),
inference(step,[status(thm)],[t261748,t1007]) ).
cnf(t1670,plain,
multiply(commutator(sFlat3,sFlat3),b) = b,
inference(orient,[status(thm)],[t261749]) ).
cnf(t261754,plain,
multiply(a,b) = multiply(sFlat3,commutator(sFlat3,commutator(sFlat3,b))),
inference(step,[status(thm)],[t1203,t1670]) ).
cnf(t261755,plain,
sFlat3 = multiply(sFlat3,commutator(sFlat3,commutator(sFlat3,b))),
inference(step,[status(thm)],[t261754,t33]) ).
cnf(t1688,plain,
sFlat3 = multiply(sFlat3,commutator(sFlat3,commutator(sFlat3,b))),
inference(rw,[status(thm)],[t261755]) ).
cnf(t1848,plain,
multiply(sFlat3,commutator(sFlat3,commutator(sFlat3,b))) = sFlat3,
inference(orient,[status(thm)],[t1688]) ).
cnf(t1851,plain,
commutator(sFlat3,sFlat3) = ifeq(sFlat3,sFlat3,commutator(sFlat3,commutator(sFlat3,b)),commutator(sFlat3,sFlat3)),
inference(cp,[status(thm)],[t1284,t1848]) ).
cnf(t261774,plain,
commutator(sFlat3,sFlat3) = commutator(sFlat3,commutator(sFlat3,b)),
inference(step,[status(thm)],[t1851,t11]) ).
cnf(t1865,plain,
commutator(sFlat3,commutator(sFlat3,b)) = commutator(sFlat3,sFlat3),
inference(orient,[status(thm)],[t261774]) ).
cnf(t1868,plain,
commutator(sFlat3,commutator(commutator(sFlat3,b),X1)) = commutator(commutator(sFlat3,sFlat3),X1),
inference(cp,[status(thm)],[t39,t1865]) ).
cnf(t261789,plain,
commutator(sFlat3,commutator(sFlat3,commutator(b,X1))) = commutator(commutator(sFlat3,sFlat3),X1),
inference(step,[status(thm)],[t1868,t39]) ).
cnf(t261790,plain,
commutator(sFlat3,commutator(sFlat3,commutator(b,X1))) = commutator(sFlat3,commutator(sFlat3,X1)),
inference(step,[status(thm)],[t261789,t39]) ).
cnf(t2193,plain,
commutator(sFlat3,commutator(sFlat3,commutator(b,X1))) = commutator(sFlat3,commutator(sFlat3,X1)),
inference(orient,[status(thm)],[t261790]) ).
cnf(t754,plain,
commutator(sFlat3,commutator(sFlat3,sFlat1)) = commutator(b,commutator(sFlat3,sFlat4)),
inference(cp,[status(thm)],[t745,t753]) ).
cnf(t777,plain,
commutator(b,commutator(sFlat3,sFlat4)) = commutator(sFlat3,commutator(sFlat3,sFlat1)),
inference(orient,[status(thm)],[t754]) ).
cnf(t2198,plain,
commutator(sFlat3,commutator(sFlat3,commutator(sFlat3,sFlat4))) = commutator(sFlat3,commutator(sFlat3,commutator(sFlat3,commutator(sFlat3,sFlat1)))),
inference(cp,[status(thm)],[t2193,t777]) ).
cnf(t1025,plain,
commutator(X1,commutator(commutator(X1,commutator(X1,X1)),X2)) = commutator(commutator(X1,X1),X2),
inference(cp,[status(thm)],[t39,t1013]) ).
cnf(t261728,plain,
commutator(X1,commutator(X1,commutator(commutator(X1,X1),X2))) = commutator(commutator(X1,X1),X2),
inference(step,[status(thm)],[t1025,t39]) ).
cnf(t261729,plain,
commutator(X1,commutator(X1,commutator(X1,commutator(X1,X2)))) = commutator(commutator(X1,X1),X2),
inference(step,[status(thm)],[t261728,t39]) ).
cnf(t261730,plain,
commutator(X1,commutator(X1,commutator(X1,commutator(X1,X2)))) = commutator(X1,commutator(X1,X2)),
inference(step,[status(thm)],[t261729,t39]) ).
cnf(t1550,plain,
commutator(X1,commutator(X1,commutator(X1,commutator(X1,X2)))) = commutator(X1,commutator(X1,X2)),
inference(orient,[status(thm)],[t261730]) ).
cnf(t1554,plain,
commutator(b,commutator(b,c)) = commutator(b,commutator(b,commutator(b,sFlat1))),
inference(cp,[status(thm)],[t1550,t48]) ).
cnf(t261731,plain,
commutator(sFlat3,commutator(sFlat3,c)) = commutator(b,commutator(b,commutator(b,sFlat1))),
inference(step,[status(thm)],[t1554,t745]) ).
cnf(t261732,plain,
commutator(sFlat3,sFlat4) = commutator(b,commutator(b,commutator(b,sFlat1))),
inference(step,[status(thm)],[t261731,t41]) ).
cnf(t261733,plain,
commutator(sFlat3,sFlat4) = commutator(sFlat3,commutator(sFlat3,commutator(b,sFlat1))),
inference(step,[status(thm)],[t261732,t745]) ).
cnf(t261734,plain,
commutator(sFlat3,sFlat4) = commutator(sFlat3,commutator(sFlat3,commutator(sFlat3,sFlat4))),
inference(step,[status(thm)],[t261733,t753]) ).
cnf(t1576,plain,
commutator(sFlat3,commutator(sFlat3,commutator(sFlat3,sFlat4))) = commutator(sFlat3,sFlat4),
inference(orient,[status(thm)],[t261734]) ).
cnf(t261793,plain,
commutator(sFlat3,sFlat4) = commutator(sFlat3,commutator(sFlat3,commutator(sFlat3,commutator(sFlat3,sFlat1)))),
inference(step,[status(thm)],[t2198,t1576]) ).
cnf(t261794,plain,
commutator(sFlat3,sFlat4) = commutator(sFlat3,commutator(sFlat3,sFlat1)),
inference(step,[status(thm)],[t261793,t1550]) ).
cnf(t2207,plain,
commutator(sFlat3,commutator(sFlat3,sFlat1)) = commutator(sFlat3,sFlat4),
inference(orient,[status(thm)],[t261794]) ).
cnf(t1681,plain,
multiply(commutator(sFlat3,sFlat3),multiply(b,X1)) = multiply(b,X1),
inference(cp,[status(thm)],[t19,t1670]) ).
cnf(t1918,plain,
multiply(commutator(sFlat3,sFlat3),multiply(b,X1)) = multiply(b,X1),
inference(orient,[status(thm)],[t1681]) ).
cnf(t2933,plain,
commutator(sFlat3,sFlat3) = ifeq(multiply(b,X1),multiply(b,X1),commutator(multiply(b,X1),multiply(b,X1)),commutator(sFlat3,sFlat3)),
inference(cp,[status(thm)],[t2919,t1918]) ).
cnf(t261881,plain,
commutator(sFlat3,sFlat3) = commutator(multiply(b,X1),multiply(b,X1)),
inference(step,[status(thm)],[t2933,t11]) ).
cnf(t3283,plain,
commutator(multiply(b,X1),multiply(b,X1)) = commutator(sFlat3,sFlat3),
inference(orient,[status(thm)],[t261881]) ).
cnf(t54,plain,
multiply(sFlat0,multiply(sFlat1,X1)) = multiply(sFlat2,X1),
inference(cp,[status(thm)],[t19,t51]) ).
cnf(t88,plain,
multiply(sFlat0,multiply(sFlat1,X1)) = multiply(sFlat2,X1),
inference(orient,[status(thm)],[t54]) ).
cnf(t1986,plain,
multiply(sFlat0,multiply(sFlat1,X1)) = multiply(commutator(sFlat0,sFlat0),multiply(sFlat2,X1)),
inference(cp,[status(thm)],[t1956,t88]) ).
cnf(t261785,plain,
multiply(sFlat2,X1) = multiply(commutator(sFlat0,sFlat0),multiply(sFlat2,X1)),
inference(step,[status(thm)],[t1986,t88]) ).
cnf(t2126,plain,
multiply(commutator(sFlat0,sFlat0),multiply(sFlat2,X1)) = multiply(sFlat2,X1),
inference(orient,[status(thm)],[t261785]) ).
cnf(t2130,plain,
multiply(sFlat2,multiply(X1,commutator(X1,sFlat2))) = multiply(commutator(sFlat0,sFlat0),multiply(X1,sFlat2)),
inference(cp,[status(thm)],[t2126,t14]) ).
cnf(t261787,plain,
multiply(X1,sFlat2) = multiply(commutator(sFlat0,sFlat0),multiply(X1,sFlat2)),
inference(step,[status(thm)],[t2130,t14]) ).
cnf(t2163,plain,
multiply(commutator(sFlat0,sFlat0),multiply(X1,sFlat2)) = multiply(X1,sFlat2),
inference(orient,[status(thm)],[t261787]) ).
cnf(t2929,plain,
commutator(sFlat0,sFlat0) = ifeq(multiply(X1,sFlat2),multiply(X1,sFlat2),commutator(multiply(X1,sFlat2),multiply(X1,sFlat2)),commutator(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t2919,t2163]) ).
cnf(t261879,plain,
commutator(sFlat0,sFlat0) = commutator(multiply(X1,sFlat2),multiply(X1,sFlat2)),
inference(step,[status(thm)],[t2929,t11]) ).
cnf(t3243,plain,
commutator(multiply(X1,sFlat2),multiply(X1,sFlat2)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t261879]) ).
cnf(t3284,plain,
commutator(sFlat3,sFlat3) = commutator(sFlat0,sFlat0),
inference(cp,[status(thm)],[t3283,t3243]) ).
cnf(t3317,plain,
commutator(sFlat3,sFlat3) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t3284]) ).
cnf(t3338,plain,
commutator(sFlat3,commutator(sFlat3,X1)) = commutator(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t39,t3317]) ).
cnf(t261924,plain,
commutator(sFlat3,commutator(sFlat3,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t3338,t39]) ).
cnf(t3646,plain,
commutator(sFlat3,commutator(sFlat3,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(orient,[status(thm)],[t261924]) ).
cnf(t261934,plain,
commutator(sFlat0,commutator(sFlat0,sFlat1)) = commutator(sFlat3,sFlat4),
inference(step,[status(thm)],[t2207,t3646]) ).
cnf(t261766,plain,
multiply(X1,commutator(X1,commutator(X1,X1))) = X1,
inference(step,[status(thm)],[t596,t1816]) ).
cnf(t1817,plain,
multiply(X1,commutator(X1,commutator(X1,X1))) = X1,
inference(orient,[status(thm)],[t261766]) ).
cnf(t52,plain,
X1 = ifeq(sFlat2,multiply(sFlat0,X1),sFlat1,X1),
inference(cp,[status(thm)],[t12,t51]) ).
cnf(t117,plain,
ifeq(sFlat2,multiply(sFlat0,X1),sFlat1,X1) = X1,
inference(orient,[status(thm)],[t52]) ).
cnf(t118,plain,
multiply(sFlat1,X1) = ifeq(sFlat2,multiply(sFlat2,X1),sFlat1,multiply(sFlat1,X1)),
inference(cp,[status(thm)],[t117,t88]) ).
cnf(t248,plain,
ifeq(sFlat2,multiply(sFlat2,X1),sFlat1,multiply(sFlat1,X1)) = multiply(sFlat1,X1),
inference(orient,[status(thm)],[t118]) ).
cnf(t380,plain,
multiply(sFlat1,commutator(sFlat2,sFlat2)) = ifeq(sFlat2,sFlat2,sFlat1,multiply(sFlat1,commutator(sFlat2,sFlat2))),
inference(cp,[status(thm)],[t248,t375]) ).
cnf(t261658,plain,
multiply(sFlat1,commutator(sFlat2,sFlat2)) = sFlat1,
inference(step,[status(thm)],[t380,t11]) ).
cnf(t406,plain,
multiply(sFlat1,commutator(sFlat2,sFlat2)) = sFlat1,
inference(orient,[status(thm)],[t261658]) ).
cnf(t684,plain,
commutator(sFlat2,sFlat2) = ifeq(sFlat1,sFlat1,commutator(sFlat1,sFlat1),commutator(sFlat2,sFlat2)),
inference(cp,[status(thm)],[t679,t406]) ).
cnf(t261673,plain,
commutator(sFlat2,sFlat2) = commutator(sFlat1,sFlat1),
inference(step,[status(thm)],[t684,t11]) ).
cnf(t727,plain,
commutator(sFlat2,sFlat2) = commutator(sFlat1,sFlat1),
inference(orient,[status(thm)],[t261673]) ).
cnf(t731,plain,
commutator(sFlat2,commutator(sFlat2,X1)) = commutator(commutator(sFlat1,sFlat1),X1),
inference(cp,[status(thm)],[t39,t727]) ).
cnf(t261679,plain,
commutator(sFlat2,commutator(sFlat2,X1)) = commutator(sFlat1,commutator(sFlat1,X1)),
inference(step,[status(thm)],[t731,t39]) ).
cnf(t739,plain,
commutator(sFlat2,commutator(sFlat2,X1)) = commutator(sFlat1,commutator(sFlat1,X1)),
inference(orient,[status(thm)],[t261679]) ).
cnf(t740,plain,
commutator(sFlat1,commutator(sFlat1,sFlat2)) = commutator(sFlat2,commutator(sFlat1,sFlat1)),
inference(cp,[status(thm)],[t739,t727]) ).
cnf(t760,plain,
commutator(sFlat2,commutator(sFlat1,sFlat1)) = commutator(sFlat1,commutator(sFlat1,sFlat2)),
inference(orient,[status(thm)],[t740]) ).
cnf(t763,plain,
multiply(sFlat2,commutator(sFlat1,sFlat1)) = multiply(commutator(sFlat1,sFlat1),multiply(sFlat2,commutator(sFlat1,commutator(sFlat1,sFlat2)))),
inference(cp,[status(thm)],[t14,t760]) ).
cnf(t392,plain,
multiply(sFlat2,commutator(sFlat1,sFlat1)) = multiply(sFlat0,sFlat1),
inference(cp,[status(thm)],[t88,t375]) ).
cnf(t261660,plain,
multiply(sFlat2,commutator(sFlat1,sFlat1)) = sFlat2,
inference(step,[status(thm)],[t392,t51]) ).
cnf(t423,plain,
multiply(sFlat2,commutator(sFlat1,sFlat1)) = sFlat2,
inference(orient,[status(thm)],[t261660]) ).
cnf(t261706,plain,
sFlat2 = multiply(commutator(sFlat1,sFlat1),multiply(sFlat2,commutator(sFlat1,commutator(sFlat1,sFlat2)))),
inference(step,[status(thm)],[t763,t423]) ).
cnf(t426,plain,
multiply(sFlat2,multiply(commutator(sFlat1,sFlat1),X1)) = multiply(sFlat2,X1),
inference(cp,[status(thm)],[t19,t423]) ).
cnf(t552,plain,
multiply(sFlat2,multiply(commutator(sFlat1,sFlat1),X1)) = multiply(sFlat2,X1),
inference(orient,[status(thm)],[t426]) ).
cnf(t554,plain,
multiply(sFlat2,commutator(commutator(sFlat1,sFlat1),sFlat2)) = multiply(commutator(sFlat1,sFlat1),sFlat2),
inference(cp,[status(thm)],[t552,t14]) ).
cnf(t261671,plain,
multiply(sFlat2,commutator(sFlat1,commutator(sFlat1,sFlat2))) = multiply(commutator(sFlat1,sFlat1),sFlat2),
inference(step,[status(thm)],[t554,t39]) ).
cnf(t659,plain,
multiply(sFlat2,commutator(sFlat1,commutator(sFlat1,sFlat2))) = multiply(commutator(sFlat1,sFlat1),sFlat2),
inference(orient,[status(thm)],[t261671]) ).
cnf(t261707,plain,
sFlat2 = multiply(commutator(sFlat1,sFlat1),multiply(commutator(sFlat1,sFlat1),sFlat2)),
inference(step,[status(thm)],[t261706,t659]) ).
cnf(t1169,plain,
multiply(commutator(sFlat1,sFlat1),multiply(commutator(sFlat1,sFlat1),sFlat2)) = sFlat2,
inference(orient,[status(thm)],[t261707]) ).
cnf(t1610,plain,
multiply(commutator(sFlat1,sFlat1),multiply(commutator(sFlat1,sFlat1),sFlat2)) = multiply(commutator(commutator(sFlat1,sFlat1),commutator(sFlat1,sFlat1)),sFlat2),
inference(cp,[status(thm)],[t1605,t1169]) ).
cnf(t261756,plain,
sFlat2 = multiply(commutator(commutator(sFlat1,sFlat1),commutator(sFlat1,sFlat1)),sFlat2),
inference(step,[status(thm)],[t1610,t1169]) ).
cnf(t261757,plain,
sFlat2 = multiply(commutator(sFlat1,commutator(sFlat1,commutator(sFlat1,sFlat1))),sFlat2),
inference(step,[status(thm)],[t261756,t39]) ).
cnf(t424,plain,
X1 = ifeq(sFlat2,multiply(sFlat2,X1),commutator(sFlat1,sFlat1),X1),
inference(cp,[status(thm)],[t12,t423]) ).
cnf(t837,plain,
ifeq(sFlat2,multiply(sFlat2,X1),commutator(sFlat1,sFlat1),X1) = X1,
inference(orient,[status(thm)],[t424]) ).
cnf(t865,plain,
commutator(sFlat2,commutator(sFlat2,commutator(sFlat2,sFlat2))) = ifeq(sFlat2,sFlat2,commutator(sFlat1,sFlat1),commutator(sFlat2,commutator(sFlat2,commutator(sFlat2,sFlat2)))),
inference(cp,[status(thm)],[t837,t852]) ).
cnf(t261685,plain,
commutator(sFlat1,commutator(sFlat1,commutator(sFlat2,sFlat2))) = ifeq(sFlat2,sFlat2,commutator(sFlat1,sFlat1),commutator(sFlat2,commutator(sFlat2,commutator(sFlat2,sFlat2)))),
inference(step,[status(thm)],[t865,t739]) ).
cnf(t261686,plain,
commutator(sFlat1,commutator(sFlat1,commutator(sFlat1,sFlat1))) = ifeq(sFlat2,sFlat2,commutator(sFlat1,sFlat1),commutator(sFlat2,commutator(sFlat2,commutator(sFlat2,sFlat2)))),
inference(step,[status(thm)],[t261685,t727]) ).
cnf(t261687,plain,
commutator(sFlat1,commutator(sFlat1,commutator(sFlat1,sFlat1))) = commutator(sFlat1,sFlat1),
inference(step,[status(thm)],[t261686,t11]) ).
cnf(t1000,plain,
commutator(sFlat1,commutator(sFlat1,commutator(sFlat1,sFlat1))) = commutator(sFlat1,sFlat1),
inference(orient,[status(thm)],[t261687]) ).
cnf(t261758,plain,
sFlat2 = multiply(commutator(sFlat1,sFlat1),sFlat2),
inference(step,[status(thm)],[t261757,t1000]) ).
cnf(t1799,plain,
multiply(commutator(sFlat1,sFlat1),sFlat2) = sFlat2,
inference(orient,[status(thm)],[t261758]) ).
cnf(t1809,plain,
X1 = ifeq(sFlat2,multiply(X1,sFlat2),commutator(sFlat1,sFlat1),X1),
inference(cp,[status(thm)],[t13,t1799]) ).
cnf(t2329,plain,
ifeq(sFlat2,multiply(X1,sFlat2),commutator(sFlat1,sFlat1),X1) = X1,
inference(orient,[status(thm)],[t1809]) ).
cnf(t1985,plain,
multiply(sFlat0,sFlat1) = multiply(commutator(sFlat0,sFlat0),sFlat2),
inference(cp,[status(thm)],[t1956,t51]) ).
cnf(t261780,plain,
sFlat2 = multiply(commutator(sFlat0,sFlat0),sFlat2),
inference(step,[status(thm)],[t1985,t51]) ).
cnf(t2005,plain,
multiply(commutator(sFlat0,sFlat0),sFlat2) = sFlat2,
inference(orient,[status(thm)],[t261780]) ).
cnf(t2330,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat2,sFlat2,commutator(sFlat1,sFlat1),commutator(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t2329,t2005]) ).
cnf(t261805,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat1,sFlat1),
inference(step,[status(thm)],[t2330,t11]) ).
cnf(t2334,plain,
commutator(sFlat1,sFlat1) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t261805]) ).
cnf(t2354,plain,
sFlat1 = multiply(sFlat1,commutator(sFlat1,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t1817,t2334]) ).
cnf(t2344,plain,
commutator(sFlat1,commutator(sFlat1,X1)) = commutator(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t39,t2334]) ).
cnf(t261832,plain,
commutator(sFlat1,commutator(sFlat1,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t2344,t39]) ).
cnf(t2442,plain,
commutator(sFlat1,commutator(sFlat1,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(orient,[status(thm)],[t261832]) ).
cnf(t2445,plain,
commutator(sFlat0,commutator(sFlat0,sFlat1)) = commutator(sFlat1,commutator(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t2442,t2334]) ).
cnf(t2473,plain,
commutator(sFlat1,commutator(sFlat0,sFlat0)) = commutator(sFlat0,commutator(sFlat0,sFlat1)),
inference(orient,[status(thm)],[t2445]) ).
cnf(t261842,plain,
sFlat1 = multiply(sFlat1,commutator(sFlat0,commutator(sFlat0,sFlat1))),
inference(step,[status(thm)],[t2354,t2473]) ).
cnf(t2624,plain,
multiply(sFlat1,commutator(sFlat0,commutator(sFlat0,sFlat1))) = sFlat1,
inference(orient,[status(thm)],[t261842]) ).
cnf(t2628,plain,
commutator(sFlat1,sFlat1) = ifeq(sFlat1,sFlat1,commutator(sFlat0,commutator(sFlat0,sFlat1)),commutator(sFlat1,sFlat1)),
inference(cp,[status(thm)],[t1284,t2624]) ).
cnf(t261843,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat1,sFlat1,commutator(sFlat0,commutator(sFlat0,sFlat1)),commutator(sFlat1,sFlat1)),
inference(step,[status(thm)],[t2628,t2334]) ).
cnf(t261844,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat0,commutator(sFlat0,sFlat1)),
inference(step,[status(thm)],[t261843,t11]) ).
cnf(t2644,plain,
commutator(sFlat0,commutator(sFlat0,sFlat1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t261844]) ).
cnf(t261935,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat3,sFlat4),
inference(step,[status(thm)],[t261934,t2644]) ).
cnf(t3670,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat3,sFlat4),
inference(rw,[status(thm)],[t261935]) ).
cnf(t3676,plain,
commutator(sFlat3,sFlat4) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t3670]) ).
cnf(t261950,plain,
multiply(sFlat1,multiply(b,commutator(sFlat0,sFlat0))) = multiply(b,sFlat1),
inference(step,[status(thm)],[t783,t3676]) ).
cnf(t261913,plain,
multiply(b,commutator(sFlat0,sFlat0)) = b,
inference(step,[status(thm)],[t415,t3317]) ).
cnf(t3366,plain,
multiply(b,commutator(sFlat0,sFlat0)) = b,
inference(rw,[status(thm)],[t261913]) ).
cnf(t3595,plain,
multiply(b,commutator(sFlat0,sFlat0)) = b,
inference(orient,[status(thm)],[t3366]) ).
cnf(t261951,plain,
multiply(sFlat1,b) = multiply(b,sFlat1),
inference(step,[status(thm)],[t261950,t3595]) ).
cnf(t3691,plain,
multiply(sFlat1,b) = multiply(b,sFlat1),
inference(rw,[status(thm)],[t261951]) ).
cnf(t3710,plain,
multiply(b,sFlat1) = multiply(sFlat1,b),
inference(orient,[status(thm)],[t3691]) ).
cnf(t261958,plain,
multiply(c,multiply(sFlat1,b)) = multiply(b,c),
inference(step,[status(thm)],[t82,t3710]) ).
cnf(t3725,plain,
multiply(c,multiply(sFlat1,b)) = multiply(b,c),
inference(rw,[status(thm)],[t261958]) ).
cnf(t3794,plain,
multiply(c,multiply(sFlat1,b)) = multiply(b,c),
inference(orient,[status(thm)],[t3725]) ).
cnf(t4047,plain,
commutator(c,c) = commutator(multiply(b,c),multiply(c,multiply(sFlat1,b))),
inference(cp,[status(thm)],[t4020,t3794]) ).
cnf(t261987,plain,
commutator(c,c) = commutator(multiply(b,c),multiply(b,c)),
inference(step,[status(thm)],[t4047,t3794]) ).
cnf(t261890,plain,
commutator(multiply(b,X1),multiply(b,X1)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t3283,t3317]) ).
cnf(t3326,plain,
commutator(multiply(b,X1),multiply(b,X1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t261890]) ).
cnf(t261988,plain,
commutator(c,c) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t261987,t3326]) ).
cnf(t4145,plain,
commutator(c,c) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t261988]) ).
cnf(t4158,plain,
commutator(sFlat4,c) = commutator(sFlat3,commutator(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t64,t4145]) ).
cnf(t261768,plain,
multiply(commutator(X1,commutator(X1,X1)),X1) = X1,
inference(step,[status(thm)],[t1067,t1816]) ).
cnf(t1819,plain,
multiply(commutator(X1,commutator(X1,X1)),X1) = X1,
inference(orient,[status(thm)],[t261768]) ).
cnf(t2935,plain,
commutator(X1,commutator(X1,X1)) = ifeq(X1,X1,commutator(X1,X1),commutator(X1,commutator(X1,X1))),
inference(cp,[status(thm)],[t2919,t1819]) ).
cnf(t261863,plain,
commutator(X1,commutator(X1,X1)) = commutator(X1,X1),
inference(step,[status(thm)],[t2935,t11]) ).
cnf(t3051,plain,
commutator(X1,commutator(X1,X1)) = commutator(X1,X1),
inference(orient,[status(thm)],[t261863]) ).
cnf(t3328,plain,
commutator(sFlat3,sFlat3) = commutator(sFlat3,commutator(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t3051,t3317]) ).
cnf(t261919,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat3,commutator(sFlat0,sFlat0)),
inference(step,[status(thm)],[t3328,t3317]) ).
cnf(t3617,plain,
commutator(sFlat3,commutator(sFlat0,sFlat0)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t261919]) ).
cnf(t262005,plain,
commutator(sFlat4,c) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t4158,t3617]) ).
cnf(t4201,plain,
commutator(sFlat4,c) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262005]) ).
cnf(t4203,plain,
multiply(sFlat4,c) = multiply(c,multiply(sFlat4,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t4201]) ).
cnf(t3683,plain,
multiply(sFlat3,sFlat4) = multiply(sFlat4,multiply(sFlat3,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t3676]) ).
cnf(t3337,plain,
sFlat3 = multiply(sFlat3,commutator(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t375,t3317]) ).
cnf(t3388,plain,
multiply(sFlat3,commutator(sFlat0,sFlat0)) = sFlat3,
inference(orient,[status(thm)],[t3337]) ).
cnf(t261953,plain,
multiply(sFlat3,sFlat4) = multiply(sFlat4,sFlat3),
inference(step,[status(thm)],[t3683,t3388]) ).
cnf(t3693,plain,
multiply(sFlat4,sFlat3) = multiply(sFlat3,sFlat4),
inference(orient,[status(thm)],[t261953]) ).
cnf(t4031,plain,
commutator(sFlat4,sFlat4) = commutator(multiply(sFlat3,sFlat4),multiply(sFlat4,sFlat3)),
inference(cp,[status(thm)],[t4020,t3693]) ).
cnf(t261983,plain,
commutator(sFlat4,sFlat4) = commutator(multiply(sFlat3,sFlat4),multiply(sFlat3,sFlat4)),
inference(step,[status(thm)],[t4031,t3693]) ).
cnf(t261984,plain,
commutator(sFlat4,sFlat4) = commutator(sFlat3,sFlat3),
inference(step,[status(thm)],[t261983,t4020]) ).
cnf(t261985,plain,
commutator(sFlat4,sFlat4) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t261984,t3317]) ).
cnf(t4119,plain,
commutator(sFlat4,sFlat4) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t261985]) ).
cnf(t4129,plain,
sFlat4 = multiply(sFlat4,commutator(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t375,t4119]) ).
cnf(t4258,plain,
multiply(sFlat4,commutator(sFlat0,sFlat0)) = sFlat4,
inference(orient,[status(thm)],[t4129]) ).
cnf(t262098,plain,
multiply(sFlat4,c) = multiply(c,sFlat4),
inference(step,[status(thm)],[t4203,t4258]) ).
cnf(t6671,plain,
multiply(c,sFlat4) = multiply(sFlat4,c),
inference(orient,[status(thm)],[t262098]) ).
cnf(t6675,plain,
multiply(c,multiply(sFlat4,X1)) = multiply(multiply(sFlat4,c),X1),
inference(cp,[status(thm)],[t19,t6671]) ).
cnf(t262099,plain,
multiply(c,multiply(sFlat4,X1)) = multiply(sFlat4,multiply(c,X1)),
inference(step,[status(thm)],[t6675,t19]) ).
cnf(t6690,plain,
multiply(c,multiply(sFlat4,X1)) = multiply(sFlat4,multiply(c,X1)),
inference(orient,[status(thm)],[t262099]) ).
cnf(t6691,plain,
multiply(sFlat4,multiply(c,sFlat3)) = multiply(c,multiply(sFlat3,sFlat4)),
inference(cp,[status(thm)],[t6690,t3693]) ).
cnf(t43,plain,
multiply(sFlat3,c) = multiply(c,multiply(sFlat3,sFlat4)),
inference(cp,[status(thm)],[t14,t41]) ).
cnf(t66,plain,
multiply(c,multiply(sFlat3,sFlat4)) = multiply(sFlat3,c),
inference(orient,[status(thm)],[t43]) ).
cnf(t262100,plain,
multiply(sFlat4,multiply(c,sFlat3)) = multiply(sFlat3,c),
inference(step,[status(thm)],[t6691,t66]) ).
cnf(t6718,plain,
multiply(sFlat4,multiply(c,sFlat3)) = multiply(sFlat3,c),
inference(orient,[status(thm)],[t262100]) ).
cnf(t6727,plain,
sFlat4 = ifeq(multiply(X1,multiply(c,sFlat3)),multiply(sFlat3,c),X1,sFlat4),
inference(cp,[status(thm)],[t13,t6718]) ).
cnf(t125548,plain,
ifeq(multiply(X1,multiply(c,sFlat3)),multiply(sFlat3,c),X1,sFlat4) = sFlat4,
inference(orient,[status(thm)],[t6727]) ).
cnf(t22,plain,
X1 = ifeq(multiply(X2,multiply(X3,Y3)),multiply(multiply(X2,X3),X1),Y3,X1),
inference(cp,[status(thm)],[t12,t19]) ).
cnf(t262009,plain,
X1 = ifeq(multiply(X2,multiply(X3,Y3)),multiply(X2,multiply(X3,X1)),Y3,X1),
inference(step,[status(thm)],[t22,t19]) ).
cnf(t4307,plain,
ifeq(multiply(X1,multiply(X2,X3)),multiply(X1,multiply(X2,Y3)),X3,Y3) = Y3,
inference(orient,[status(thm)],[t262009]) ).
cnf(t4327,plain,
X1 = ifeq(multiply(sFlat3,c),multiply(c,multiply(sFlat3,X1)),sFlat4,X1),
inference(cp,[status(thm)],[t4307,t66]) ).
cnf(t52469,plain,
ifeq(multiply(sFlat3,c),multiply(c,multiply(sFlat3,X1)),sFlat4,X1) = X1,
inference(orient,[status(thm)],[t4327]) ).
cnf(t4021,plain,
commutator(X1,X1) = commutator(multiply(X2,X1),multiply(X1,multiply(X2,commutator(X2,X1)))),
inference(cp,[status(thm)],[t4020,t14]) ).
cnf(t262010,plain,
commutator(X1,X1) = commutator(multiply(X2,X1),multiply(X2,X1)),
inference(step,[status(thm)],[t4021,t14]) ).
cnf(t262011,plain,
commutator(X1,X1) = commutator(X2,X2),
inference(step,[status(thm)],[t262010,t4020]) ).
cnf(t4526,plain,
commutator(X1,X1) = commutator(X2,X2),
inference(orient,[status(thm)],[t262011]) ).
cnf(t4565,plain,
X1 = multiply(commutator(X2,X2),X1),
inference(cp,[status(thm)],[t1816,t4526]) ).
cnf(t4930,plain,
multiply(commutator(X1,X1),X2) = X2,
inference(orient,[status(thm)],[t4565]) ).
cnf(t4945,plain,
multiply(commutator(X1,X1),X2) = multiply(X2,commutator(commutator(X1,X1),X2)),
inference(cp,[status(thm)],[t14,t4930]) ).
cnf(t262036,plain,
X2 = multiply(X2,commutator(commutator(X1,X1),X2)),
inference(step,[status(thm)],[t4945,t4930]) ).
cnf(t262037,plain,
X2 = multiply(X2,commutator(X1,commutator(X1,X2))),
inference(step,[status(thm)],[t262036,t39]) ).
cnf(t5303,plain,
multiply(X1,commutator(X2,commutator(X2,X1))) = X1,
inference(orient,[status(thm)],[t262037]) ).
cnf(t5343,plain,
commutator(X1,X1) = ifeq(X1,X1,commutator(X2,commutator(X2,X1)),commutator(X1,X1)),
inference(cp,[status(thm)],[t1284,t5303]) ).
cnf(t262058,plain,
commutator(X1,X1) = commutator(X2,commutator(X2,X1)),
inference(step,[status(thm)],[t5343,t11]) ).
cnf(t6066,plain,
commutator(X1,X1) = commutator(X2,commutator(X2,X1)),
inference(orient,[status(thm)],[t262058]) ).
cnf(t6127,plain,
multiply(X1,commutator(X1,X2)) = multiply(commutator(X1,X2),multiply(X1,commutator(X2,X2))),
inference(cp,[status(thm)],[t14,t6066]) ).
cnf(t4573,plain,
X1 = multiply(X1,commutator(X2,X2)),
inference(cp,[status(thm)],[t375,t4526]) ).
cnf(t4967,plain,
multiply(X1,commutator(X2,X2)) = X1,
inference(orient,[status(thm)],[t4573]) ).
cnf(t262084,plain,
multiply(X1,commutator(X1,X2)) = multiply(commutator(X1,X2),X1),
inference(step,[status(thm)],[t6127,t4967]) ).
cnf(t6183,plain,
multiply(commutator(X1,X2),X1) = multiply(X1,commutator(X1,X2)),
inference(orient,[status(thm)],[t262084]) ).
cnf(t6198,plain,
multiply(commutator(X1,X2),multiply(X1,X3)) = multiply(multiply(X1,commutator(X1,X2)),X3),
inference(cp,[status(thm)],[t19,t6183]) ).
cnf(t262205,plain,
multiply(commutator(X1,X2),multiply(X1,X3)) = multiply(X1,multiply(commutator(X1,X2),X3)),
inference(step,[status(thm)],[t6198,t19]) ).
cnf(t10164,plain,
multiply(commutator(X1,X2),multiply(X1,X3)) = multiply(X1,multiply(commutator(X1,X2),X3)),
inference(orient,[status(thm)],[t262205]) ).
cnf(t10267,plain,
multiply(sFlat0,multiply(commutator(sFlat0,X1),sFlat1)) = multiply(commutator(sFlat0,X1),sFlat2),
inference(cp,[status(thm)],[t10164,t51]) ).
cnf(t10319,plain,
multiply(sFlat0,multiply(commutator(sFlat0,X1),sFlat1)) = multiply(commutator(sFlat0,X1),sFlat2),
inference(orient,[status(thm)],[t10267]) ).
cnf(t10353,plain,
multiply(sFlat0,multiply(X1,sFlat1)) = multiply(X1,multiply(commutator(sFlat0,X1),sFlat2)),
inference(cp,[status(thm)],[t252,t10319]) ).
cnf(t10473,plain,
multiply(X1,multiply(commutator(sFlat0,X1),sFlat2)) = multiply(sFlat0,multiply(X1,sFlat1)),
inference(orient,[status(thm)],[t10353]) ).
cnf(t10516,plain,
multiply(sFlat3,multiply(commutator(sFlat0,b),sFlat2)) = multiply(a,multiply(sFlat0,multiply(b,sFlat1))),
inference(cp,[status(thm)],[t57,t10473]) ).
cnf(t6185,plain,
multiply(a,commutator(a,c)) = multiply(sFlat0,a),
inference(cp,[status(thm)],[t6183,t44]) ).
cnf(t262085,plain,
multiply(a,sFlat0) = multiply(sFlat0,a),
inference(step,[status(thm)],[t6185,t44]) ).
cnf(t6221,plain,
multiply(a,sFlat0) = multiply(sFlat0,a),
inference(orient,[status(thm)],[t262085]) ).
cnf(t6227,plain,
multiply(a,multiply(sFlat0,X1)) = multiply(multiply(sFlat0,a),X1),
inference(cp,[status(thm)],[t19,t6221]) ).
cnf(t262093,plain,
multiply(a,multiply(sFlat0,X1)) = multiply(sFlat0,multiply(a,X1)),
inference(step,[status(thm)],[t6227,t19]) ).
cnf(t6333,plain,
multiply(a,multiply(sFlat0,X1)) = multiply(sFlat0,multiply(a,X1)),
inference(orient,[status(thm)],[t262093]) ).
cnf(t262224,plain,
multiply(sFlat3,multiply(commutator(sFlat0,b),sFlat2)) = multiply(sFlat0,multiply(a,multiply(b,sFlat1))),
inference(step,[status(thm)],[t10516,t6333]) ).
cnf(t262225,plain,
multiply(sFlat3,multiply(commutator(sFlat0,b),sFlat2)) = multiply(sFlat0,multiply(sFlat3,sFlat1)),
inference(step,[status(thm)],[t262224,t57]) ).
cnf(t10967,plain,
multiply(sFlat3,multiply(commutator(sFlat0,b),sFlat2)) = multiply(sFlat0,multiply(sFlat3,sFlat1)),
inference(orient,[status(thm)],[t262225]) ).
cnf(t52595,plain,
multiply(commutator(sFlat0,b),sFlat2) = ifeq(multiply(sFlat3,c),multiply(c,multiply(sFlat0,multiply(sFlat3,sFlat1))),sFlat4,multiply(commutator(sFlat0,b),sFlat2)),
inference(cp,[status(thm)],[t52469,t10967]) ).
cnf(t45,plain,
commutator(a,commutator(c,X1)) = commutator(sFlat0,X1),
inference(cp,[status(thm)],[t39,t44]) ).
cnf(t72,plain,
commutator(a,commutator(c,X1)) = commutator(sFlat0,X1),
inference(orient,[status(thm)],[t45]) ).
cnf(t4157,plain,
commutator(sFlat0,c) = commutator(a,commutator(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t72,t4145]) ).
cnf(t1988,plain,
multiply(a,b) = multiply(commutator(a,a),sFlat3),
inference(cp,[status(thm)],[t1956,t33]) ).
cnf(t261781,plain,
sFlat3 = multiply(commutator(a,a),sFlat3),
inference(step,[status(thm)],[t1988,t33]) ).
cnf(t2018,plain,
multiply(commutator(a,a),sFlat3) = sFlat3,
inference(orient,[status(thm)],[t261781]) ).
cnf(t2924,plain,
commutator(a,a) = ifeq(sFlat3,sFlat3,commutator(sFlat3,sFlat3),commutator(a,a)),
inference(cp,[status(thm)],[t2919,t2018]) ).
cnf(t261859,plain,
commutator(a,a) = commutator(sFlat3,sFlat3),
inference(step,[status(thm)],[t2924,t11]) ).
cnf(t2988,plain,
commutator(a,a) = commutator(sFlat3,sFlat3),
inference(orient,[status(thm)],[t261859]) ).
cnf(t2998,plain,
commutator(a,commutator(a,X1)) = commutator(commutator(sFlat3,sFlat3),X1),
inference(cp,[status(thm)],[t39,t2988]) ).
cnf(t261871,plain,
commutator(a,commutator(a,X1)) = commutator(sFlat3,commutator(sFlat3,X1)),
inference(step,[status(thm)],[t2998,t39]) ).
cnf(t3107,plain,
commutator(a,commutator(a,X1)) = commutator(sFlat3,commutator(sFlat3,X1)),
inference(orient,[status(thm)],[t261871]) ).
cnf(t3111,plain,
commutator(sFlat3,commutator(sFlat3,commutator(c,X1))) = commutator(a,commutator(sFlat0,X1)),
inference(cp,[status(thm)],[t3107,t72]) ).
cnf(t261875,plain,
commutator(sFlat3,commutator(sFlat4,X1)) = commutator(a,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t3111,t64]) ).
cnf(t3141,plain,
commutator(a,commutator(sFlat0,X1)) = commutator(sFlat3,commutator(sFlat4,X1)),
inference(orient,[status(thm)],[t261875]) ).
cnf(t49,plain,
commutator(b,commutator(c,X1)) = commutator(sFlat1,X1),
inference(cp,[status(thm)],[t39,t48]) ).
cnf(t80,plain,
commutator(b,commutator(c,X1)) = commutator(sFlat1,X1),
inference(orient,[status(thm)],[t49]) ).
cnf(t2201,plain,
commutator(sFlat3,commutator(sFlat3,commutator(c,X1))) = commutator(sFlat3,commutator(sFlat3,commutator(sFlat1,X1))),
inference(cp,[status(thm)],[t2193,t80]) ).
cnf(t261798,plain,
commutator(sFlat3,commutator(sFlat4,X1)) = commutator(sFlat3,commutator(sFlat3,commutator(sFlat1,X1))),
inference(step,[status(thm)],[t2201,t64]) ).
cnf(t2275,plain,
commutator(sFlat3,commutator(sFlat3,commutator(sFlat1,X1))) = commutator(sFlat3,commutator(sFlat4,X1)),
inference(orient,[status(thm)],[t261798]) ).
cnf(t261937,plain,
commutator(sFlat0,commutator(sFlat0,commutator(sFlat1,X1))) = commutator(sFlat3,commutator(sFlat4,X1)),
inference(step,[status(thm)],[t2275,t3646]) ).
cnf(t2647,plain,
commutator(sFlat0,commutator(commutator(sFlat0,sFlat1),X1)) = commutator(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t39,t2644]) ).
cnf(t261853,plain,
commutator(sFlat0,commutator(sFlat0,commutator(sFlat1,X1))) = commutator(commutator(sFlat0,sFlat0),X1),
inference(step,[status(thm)],[t2647,t39]) ).
cnf(t261854,plain,
commutator(sFlat0,commutator(sFlat0,commutator(sFlat1,X1))) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t261853,t39]) ).
cnf(t2848,plain,
commutator(sFlat0,commutator(sFlat0,commutator(sFlat1,X1))) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(orient,[status(thm)],[t261854]) ).
cnf(t261938,plain,
commutator(sFlat0,commutator(sFlat0,X1)) = commutator(sFlat3,commutator(sFlat4,X1)),
inference(step,[status(thm)],[t261937,t2848]) ).
cnf(t3672,plain,
commutator(sFlat0,commutator(sFlat0,X1)) = commutator(sFlat3,commutator(sFlat4,X1)),
inference(rw,[status(thm)],[t261938]) ).
cnf(t3859,plain,
commutator(sFlat3,commutator(sFlat4,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(orient,[status(thm)],[t3672]) ).
cnf(t261968,plain,
commutator(a,commutator(sFlat0,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t3141,t3859]) ).
cnf(t3862,plain,
commutator(a,commutator(sFlat0,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(orient,[status(thm)],[t261968]) ).
cnf(t262003,plain,
commutator(sFlat0,c) = commutator(sFlat0,commutator(sFlat0,sFlat0)),
inference(step,[status(thm)],[t4157,t3862]) ).
cnf(t262004,plain,
commutator(sFlat0,c) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t262003,t3051]) ).
cnf(t4193,plain,
commutator(sFlat0,c) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262004]) ).
cnf(t4198,plain,
multiply(sFlat0,multiply(c,X1)) = multiply(c,multiply(sFlat0,multiply(commutator(sFlat0,sFlat0),X1))),
inference(cp,[status(thm)],[t252,t4193]) ).
cnf(t262028,plain,
multiply(sFlat0,multiply(c,X1)) = multiply(c,multiply(sFlat0,X1)),
inference(step,[status(thm)],[t4198,t443]) ).
cnf(t5155,plain,
multiply(c,multiply(sFlat0,X1)) = multiply(sFlat0,multiply(c,X1)),
inference(orient,[status(thm)],[t262028]) ).
cnf(t263427,plain,
multiply(commutator(sFlat0,b),sFlat2) = ifeq(multiply(sFlat3,c),multiply(sFlat0,multiply(c,multiply(sFlat3,sFlat1))),sFlat4,multiply(commutator(sFlat0,b),sFlat2)),
inference(step,[status(thm)],[t52595,t5155]) ).
cnf(t46,plain,
multiply(a,c) = multiply(c,multiply(a,sFlat0)),
inference(cp,[status(thm)],[t14,t44]) ).
cnf(t74,plain,
multiply(c,multiply(a,sFlat0)) = multiply(a,c),
inference(orient,[status(thm)],[t46]) ).
cnf(t262086,plain,
multiply(c,multiply(sFlat0,a)) = multiply(a,c),
inference(step,[status(thm)],[t74,t6221]) ).
cnf(t262087,plain,
multiply(sFlat0,multiply(c,a)) = multiply(a,c),
inference(step,[status(thm)],[t262086,t5155]) ).
cnf(t6238,plain,
multiply(sFlat0,multiply(c,a)) = multiply(a,c),
inference(rw,[status(thm)],[t262087]) ).
cnf(t6239,plain,
multiply(sFlat0,multiply(c,a)) = multiply(a,c),
inference(orient,[status(thm)],[t6238]) ).
cnf(t6250,plain,
multiply(sFlat0,multiply(multiply(c,a),X1)) = multiply(multiply(a,c),X1),
inference(cp,[status(thm)],[t19,t6239]) ).
cnf(t262109,plain,
multiply(sFlat0,multiply(c,multiply(a,X1))) = multiply(multiply(a,c),X1),
inference(step,[status(thm)],[t6250,t19]) ).
cnf(t262110,plain,
multiply(sFlat0,multiply(c,multiply(a,X1))) = multiply(a,multiply(c,X1)),
inference(step,[status(thm)],[t262109,t19]) ).
cnf(t7372,plain,
multiply(sFlat0,multiply(c,multiply(a,X1))) = multiply(a,multiply(c,X1)),
inference(orient,[status(thm)],[t262110]) ).
cnf(t3718,plain,
multiply(sFlat3,sFlat1) = multiply(a,multiply(sFlat1,b)),
inference(cp,[status(thm)],[t57,t3710]) ).
cnf(t3776,plain,
multiply(a,multiply(sFlat1,b)) = multiply(sFlat3,sFlat1),
inference(orient,[status(thm)],[t3718]) ).
cnf(t7378,plain,
multiply(a,multiply(c,multiply(sFlat1,b))) = multiply(sFlat0,multiply(c,multiply(sFlat3,sFlat1))),
inference(cp,[status(thm)],[t7372,t3776]) ).
cnf(t4156,plain,
commutator(sFlat1,c) = commutator(b,commutator(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t80,t4145]) ).
cnf(t748,plain,
commutator(sFlat3,commutator(sFlat3,commutator(c,X1))) = commutator(b,commutator(sFlat1,X1)),
inference(cp,[status(thm)],[t745,t80]) ).
cnf(t261682,plain,
commutator(sFlat3,commutator(sFlat4,X1)) = commutator(b,commutator(sFlat1,X1)),
inference(step,[status(thm)],[t748,t64]) ).
cnf(t772,plain,
commutator(b,commutator(sFlat1,X1)) = commutator(sFlat3,commutator(sFlat4,X1)),
inference(orient,[status(thm)],[t261682]) ).
cnf(t2341,plain,
commutator(sFlat3,commutator(sFlat4,sFlat1)) = commutator(b,commutator(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t772,t2334]) ).
cnf(t2432,plain,
commutator(b,commutator(sFlat0,sFlat0)) = commutator(sFlat3,commutator(sFlat4,sFlat1)),
inference(orient,[status(thm)],[t2341]) ).
cnf(t261775,plain,
commutator(b,commutator(sFlat3,sFlat3)) = commutator(sFlat3,sFlat3),
inference(step,[status(thm)],[t766,t1865]) ).
cnf(t1866,plain,
commutator(b,commutator(sFlat3,sFlat3)) = commutator(sFlat3,sFlat3),
inference(orient,[status(thm)],[t261775]) ).
cnf(t261910,plain,
commutator(b,commutator(sFlat0,sFlat0)) = commutator(sFlat3,sFlat3),
inference(step,[status(thm)],[t1866,t3317]) ).
cnf(t261911,plain,
commutator(sFlat3,commutator(sFlat4,sFlat1)) = commutator(sFlat3,sFlat3),
inference(step,[status(thm)],[t261910,t2432]) ).
cnf(t261912,plain,
commutator(sFlat3,commutator(sFlat4,sFlat1)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t261911,t3317]) ).
cnf(t3365,plain,
commutator(sFlat3,commutator(sFlat4,sFlat1)) = commutator(sFlat0,sFlat0),
inference(rw,[status(thm)],[t261912]) ).
cnf(t3636,plain,
commutator(sFlat3,commutator(sFlat4,sFlat1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t3365]) ).
cnf(t261922,plain,
commutator(b,commutator(sFlat0,sFlat0)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t2432,t3636]) ).
cnf(t3637,plain,
commutator(b,commutator(sFlat0,sFlat0)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t261922]) ).
cnf(t262000,plain,
commutator(sFlat1,c) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t4156,t3637]) ).
cnf(t4184,plain,
commutator(sFlat1,c) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262000]) ).
cnf(t4189,plain,
multiply(sFlat1,multiply(c,X1)) = multiply(c,multiply(sFlat1,multiply(commutator(sFlat0,sFlat0),X1))),
inference(cp,[status(thm)],[t252,t4184]) ).
cnf(t2355,plain,
multiply(sFlat1,X1) = multiply(sFlat1,multiply(commutator(sFlat0,sFlat0),X1)),
inference(cp,[status(thm)],[t443,t2334]) ).
cnf(t2763,plain,
multiply(sFlat1,multiply(commutator(sFlat0,sFlat0),X1)) = multiply(sFlat1,X1),
inference(orient,[status(thm)],[t2355]) ).
cnf(t262023,plain,
multiply(sFlat1,multiply(c,X1)) = multiply(c,multiply(sFlat1,X1)),
inference(step,[status(thm)],[t4189,t2763]) ).
cnf(t5067,plain,
multiply(c,multiply(sFlat1,X1)) = multiply(sFlat1,multiply(c,X1)),
inference(orient,[status(thm)],[t262023]) ).
cnf(t262111,plain,
multiply(a,multiply(sFlat1,multiply(c,b))) = multiply(sFlat0,multiply(c,multiply(sFlat3,sFlat1))),
inference(step,[status(thm)],[t7378,t5067]) ).
cnf(t262024,plain,
multiply(sFlat1,multiply(c,b)) = multiply(b,c),
inference(step,[status(thm)],[t3794,t5067]) ).
cnf(t5091,plain,
multiply(sFlat1,multiply(c,b)) = multiply(b,c),
inference(rw,[status(thm)],[t262024]) ).
cnf(t5093,plain,
multiply(sFlat1,multiply(c,b)) = multiply(b,c),
inference(orient,[status(thm)],[t5091]) ).
cnf(t262112,plain,
multiply(a,multiply(b,c)) = multiply(sFlat0,multiply(c,multiply(sFlat3,sFlat1))),
inference(step,[status(thm)],[t262111,t5093]) ).
cnf(t262113,plain,
multiply(sFlat3,c) = multiply(sFlat0,multiply(c,multiply(sFlat3,sFlat1))),
inference(step,[status(thm)],[t262112,t57]) ).
cnf(t7447,plain,
multiply(sFlat0,multiply(c,multiply(sFlat3,sFlat1))) = multiply(sFlat3,c),
inference(orient,[status(thm)],[t262113]) ).
cnf(t263428,plain,
multiply(commutator(sFlat0,b),sFlat2) = ifeq(multiply(sFlat3,c),multiply(sFlat3,c),sFlat4,multiply(commutator(sFlat0,b),sFlat2)),
inference(step,[status(thm)],[t263427,t7447]) ).
cnf(t263429,plain,
multiply(commutator(sFlat0,b),sFlat2) = sFlat4,
inference(step,[status(thm)],[t263428,t11]) ).
cnf(t52618,plain,
multiply(commutator(sFlat0,b),sFlat2) = sFlat4,
inference(orient,[status(thm)],[t263429]) ).
cnf(t52633,plain,
X1 = ifeq(sFlat4,multiply(X1,sFlat2),commutator(sFlat0,b),X1),
inference(cp,[status(thm)],[t13,t52618]) ).
cnf(t57171,plain,
ifeq(sFlat4,multiply(X1,sFlat2),commutator(sFlat0,b),X1) = X1,
inference(orient,[status(thm)],[t52633]) ).
cnf(t52611,plain,
multiply(commutator(sFlat0,sFlat3),sFlat2) = ifeq(multiply(sFlat3,c),multiply(c,multiply(sFlat0,multiply(sFlat3,sFlat1))),sFlat4,multiply(commutator(sFlat0,sFlat3),sFlat2)),
inference(cp,[status(thm)],[t52469,t10473]) ).
cnf(t263437,plain,
multiply(commutator(sFlat0,sFlat3),sFlat2) = ifeq(multiply(sFlat3,c),multiply(sFlat0,multiply(c,multiply(sFlat3,sFlat1))),sFlat4,multiply(commutator(sFlat0,sFlat3),sFlat2)),
inference(step,[status(thm)],[t52611,t5155]) ).
cnf(t263438,plain,
multiply(commutator(sFlat0,sFlat3),sFlat2) = ifeq(multiply(sFlat3,c),multiply(sFlat3,c),sFlat4,multiply(commutator(sFlat0,sFlat3),sFlat2)),
inference(step,[status(thm)],[t263437,t7447]) ).
cnf(t263439,plain,
multiply(commutator(sFlat0,sFlat3),sFlat2) = sFlat4,
inference(step,[status(thm)],[t263438,t11]) ).
cnf(t52734,plain,
multiply(commutator(sFlat0,sFlat3),sFlat2) = sFlat4,
inference(orient,[status(thm)],[t263439]) ).
cnf(t57175,plain,
commutator(sFlat0,sFlat3) = ifeq(sFlat4,sFlat4,commutator(sFlat0,b),commutator(sFlat0,sFlat3)),
inference(cp,[status(thm)],[t57171,t52734]) ).
cnf(t263594,plain,
commutator(sFlat0,sFlat3) = commutator(sFlat0,b),
inference(step,[status(thm)],[t57175,t11]) ).
cnf(t57193,plain,
commutator(sFlat0,b) = commutator(sFlat0,sFlat3),
inference(orient,[status(thm)],[t263594]) ).
cnf(t57199,plain,
commutator(sFlat0,commutator(b,X1)) = commutator(commutator(sFlat0,sFlat3),X1),
inference(cp,[status(thm)],[t39,t57193]) ).
cnf(t263604,plain,
commutator(sFlat0,commutator(b,X1)) = commutator(sFlat0,commutator(sFlat3,X1)),
inference(step,[status(thm)],[t57199,t39]) ).
cnf(t57261,plain,
commutator(sFlat0,commutator(b,X1)) = commutator(sFlat0,commutator(sFlat3,X1)),
inference(orient,[status(thm)],[t263604]) ).
cnf(t57281,plain,
commutator(sFlat0,commutator(sFlat3,commutator(c,X1))) = commutator(sFlat0,commutator(sFlat1,X1)),
inference(cp,[status(thm)],[t57261,t80]) ).
cnf(t263757,plain,
commutator(sFlat0,commutator(sFlat4,X1)) = commutator(sFlat0,commutator(sFlat1,X1)),
inference(step,[status(thm)],[t57281,t64]) ).
cnf(t4944,plain,
commutator(X1,X1) = ifeq(multiply(X2,X3),X3,X2,commutator(X1,X1)),
inference(cp,[status(thm)],[t13,t4930]) ).
cnf(t18301,plain,
ifeq(multiply(X1,X2),X2,X1,commutator(X3,X3)) = commutator(X3,X3),
inference(orient,[status(thm)],[t4944]) ).
cnf(t65,plain,
multiply(sFlat3,commutator(c,X1)) = multiply(commutator(c,X1),multiply(sFlat3,commutator(sFlat4,X1))),
inference(cp,[status(thm)],[t14,t64]) ).
cnf(t295,plain,
multiply(commutator(c,X1),multiply(sFlat3,commutator(sFlat4,X1))) = multiply(sFlat3,commutator(c,X1)),
inference(orient,[status(thm)],[t65]) ).
cnf(t4988,plain,
multiply(sFlat3,commutator(c,sFlat4)) = multiply(commutator(c,sFlat4),sFlat3),
inference(cp,[status(thm)],[t295,t4967]) ).
cnf(t5227,plain,
multiply(commutator(c,sFlat4),sFlat3) = multiply(sFlat3,commutator(c,sFlat4)),
inference(orient,[status(thm)],[t4988]) ).
cnf(t5231,plain,
multiply(commutator(c,sFlat4),multiply(sFlat3,X1)) = multiply(multiply(sFlat3,commutator(c,sFlat4)),X1),
inference(cp,[status(thm)],[t19,t5227]) ).
cnf(t262200,plain,
multiply(commutator(c,sFlat4),multiply(sFlat3,X1)) = multiply(sFlat3,multiply(commutator(c,sFlat4),X1)),
inference(step,[status(thm)],[t5231,t19]) ).
cnf(t10051,plain,
multiply(commutator(c,sFlat4),multiply(sFlat3,X1)) = multiply(sFlat3,multiply(commutator(c,sFlat4),X1)),
inference(orient,[status(thm)],[t262200]) ).
cnf(t3784,plain,
multiply(a,multiply(multiply(sFlat1,b),X1)) = multiply(multiply(sFlat3,sFlat1),X1),
inference(cp,[status(thm)],[t19,t3776]) ).
cnf(t262104,plain,
multiply(a,multiply(sFlat1,multiply(b,X1))) = multiply(multiply(sFlat3,sFlat1),X1),
inference(step,[status(thm)],[t3784,t19]) ).
cnf(t262105,plain,
multiply(a,multiply(sFlat1,multiply(b,X1))) = multiply(sFlat3,multiply(sFlat1,X1)),
inference(step,[status(thm)],[t262104,t19]) ).
cnf(t6922,plain,
multiply(a,multiply(sFlat1,multiply(b,X1))) = multiply(sFlat3,multiply(sFlat1,X1)),
inference(orient,[status(thm)],[t262105]) ).
cnf(t7377,plain,
multiply(a,multiply(c,multiply(sFlat1,multiply(b,X1)))) = multiply(sFlat0,multiply(c,multiply(sFlat3,multiply(sFlat1,X1)))),
inference(cp,[status(thm)],[t7372,t6922]) ).
cnf(t262519,plain,
multiply(a,multiply(sFlat1,multiply(c,multiply(b,X1)))) = multiply(sFlat0,multiply(c,multiply(sFlat3,multiply(sFlat1,X1)))),
inference(step,[status(thm)],[t7377,t5067]) ).
cnf(t85,plain,
multiply(c,multiply(multiply(b,sFlat1),X1)) = multiply(multiply(b,c),X1),
inference(cp,[status(thm)],[t19,t82]) ).
cnf(t261651,plain,
multiply(c,multiply(b,multiply(sFlat1,X1))) = multiply(multiply(b,c),X1),
inference(step,[status(thm)],[t85,t19]) ).
cnf(t261652,plain,
multiply(c,multiply(b,multiply(sFlat1,X1))) = multiply(b,multiply(c,X1)),
inference(step,[status(thm)],[t261651,t19]) ).
cnf(t160,plain,
multiply(c,multiply(b,multiply(sFlat1,X1))) = multiply(b,multiply(c,X1)),
inference(orient,[status(thm)],[t261652]) ).
cnf(t3719,plain,
multiply(b,multiply(sFlat1,X1)) = multiply(multiply(sFlat1,b),X1),
inference(cp,[status(thm)],[t19,t3710]) ).
cnf(t261973,plain,
multiply(b,multiply(sFlat1,X1)) = multiply(sFlat1,multiply(b,X1)),
inference(step,[status(thm)],[t3719,t19]) ).
cnf(t3911,plain,
multiply(b,multiply(sFlat1,X1)) = multiply(sFlat1,multiply(b,X1)),
inference(orient,[status(thm)],[t261973]) ).
cnf(t261974,plain,
multiply(c,multiply(sFlat1,multiply(b,X1))) = multiply(b,multiply(c,X1)),
inference(step,[status(thm)],[t160,t3911]) ).
cnf(t3940,plain,
multiply(c,multiply(sFlat1,multiply(b,X1))) = multiply(b,multiply(c,X1)),
inference(rw,[status(thm)],[t261974]) ).
cnf(t262106,plain,
multiply(sFlat1,multiply(c,multiply(b,X1))) = multiply(b,multiply(c,X1)),
inference(step,[status(thm)],[t3940,t5067]) ).
cnf(t6985,plain,
multiply(sFlat1,multiply(c,multiply(b,X1))) = multiply(b,multiply(c,X1)),
inference(orient,[status(thm)],[t262106]) ).
cnf(t262520,plain,
multiply(a,multiply(b,multiply(c,X1))) = multiply(sFlat0,multiply(c,multiply(sFlat3,multiply(sFlat1,X1)))),
inference(step,[status(thm)],[t262519,t6985]) ).
cnf(t262521,plain,
multiply(sFlat3,multiply(c,X1)) = multiply(sFlat0,multiply(c,multiply(sFlat3,multiply(sFlat1,X1)))),
inference(step,[status(thm)],[t262520,t57]) ).
cnf(t23804,plain,
multiply(sFlat0,multiply(c,multiply(sFlat3,multiply(sFlat1,X1)))) = multiply(sFlat3,multiply(c,X1)),
inference(orient,[status(thm)],[t262521]) ).
cnf(t20,plain,
multiply(X1,multiply(X2,multiply(X3,commutator(X3,multiply(X1,X2))))) = multiply(X3,multiply(X1,X2)),
inference(cp,[status(thm)],[t19,t14]) ).
cnf(t3424,plain,
multiply(X1,multiply(X2,multiply(X3,commutator(X3,multiply(X1,X2))))) = multiply(X3,multiply(X1,X2)),
inference(orient,[status(thm)],[t20]) ).
cnf(t23805,plain,
multiply(sFlat3,multiply(c,commutator(sFlat1,multiply(c,sFlat3)))) = multiply(sFlat0,multiply(sFlat1,multiply(c,sFlat3))),
inference(cp,[status(thm)],[t23804,t3424]) ).
cnf(t262798,plain,
multiply(sFlat3,multiply(c,commutator(sFlat1,multiply(c,sFlat3)))) = multiply(sFlat2,multiply(c,sFlat3)),
inference(step,[status(thm)],[t23805,t88]) ).
cnf(t32900,plain,
multiply(sFlat3,multiply(c,commutator(sFlat1,multiply(c,sFlat3)))) = multiply(sFlat2,multiply(c,sFlat3)),
inference(orient,[status(thm)],[t262798]) ).
cnf(t32918,plain,
multiply(sFlat3,multiply(commutator(c,sFlat4),multiply(c,commutator(sFlat1,multiply(c,sFlat3))))) = multiply(commutator(c,sFlat4),multiply(sFlat2,multiply(c,sFlat3))),
inference(cp,[status(thm)],[t10051,t32900]) ).
cnf(t40,plain,
multiply(commutator(X1,X2),X3) = multiply(X3,multiply(commutator(X1,X2),commutator(X1,commutator(X2,X3)))),
inference(cp,[status(thm)],[t14,t39]) ).
cnf(t9628,plain,
multiply(X1,multiply(commutator(X2,X3),commutator(X2,commutator(X3,X1)))) = multiply(commutator(X2,X3),X1),
inference(orient,[status(thm)],[t40]) ).
cnf(t4545,plain,
commutator(X1,X1) = commutator(X1,commutator(X2,X2)),
inference(cp,[status(thm)],[t3051,t4526]) ).
cnf(t5915,plain,
commutator(X1,X1) = commutator(X1,commutator(X2,X2)),
inference(orient,[status(thm)],[t4545]) ).
cnf(t5917,plain,
commutator(X1,commutator(X2,X2)) = commutator(X3,X3),
inference(cp,[status(thm)],[t5915,t4526]) ).
cnf(t6460,plain,
commutator(X1,commutator(X2,X2)) = commutator(X3,X3),
inference(orient,[status(thm)],[t5917]) ).
cnf(t9657,plain,
multiply(commutator(X1,X2),X2) = multiply(X2,multiply(commutator(X1,X2),commutator(X3,X3))),
inference(cp,[status(thm)],[t9628,t6460]) ).
cnf(t262197,plain,
multiply(commutator(X1,X2),X2) = multiply(X2,commutator(X1,X2)),
inference(step,[status(thm)],[t9657,t4967]) ).
cnf(t9906,plain,
multiply(commutator(X1,X2),X2) = multiply(X2,commutator(X1,X2)),
inference(orient,[status(thm)],[t262197]) ).
cnf(t9911,plain,
multiply(X1,commutator(commutator(X2,X3),X1)) = multiply(commutator(X2,commutator(X3,X1)),X1),
inference(cp,[status(thm)],[t9906,t39]) ).
cnf(t262281,plain,
multiply(X1,commutator(X2,commutator(X3,X1))) = multiply(commutator(X2,commutator(X3,X1)),X1),
inference(step,[status(thm)],[t9911,t39]) ).
cnf(t13454,plain,
multiply(commutator(X1,commutator(X2,X3)),X3) = multiply(X3,commutator(X1,commutator(X2,X3))),
inference(orient,[status(thm)],[t262281]) ).
cnf(t13498,plain,
multiply(c,commutator(X1,commutator(sFlat3,c))) = multiply(commutator(X1,sFlat4),c),
inference(cp,[status(thm)],[t13454,t41]) ).
cnf(t262284,plain,
multiply(c,commutator(X1,sFlat4)) = multiply(commutator(X1,sFlat4),c),
inference(step,[status(thm)],[t13498,t41]) ).
cnf(t13597,plain,
multiply(commutator(X1,sFlat4),c) = multiply(c,commutator(X1,sFlat4)),
inference(orient,[status(thm)],[t262284]) ).
cnf(t13603,plain,
multiply(commutator(X1,sFlat4),multiply(c,X2)) = multiply(multiply(c,commutator(X1,sFlat4)),X2),
inference(cp,[status(thm)],[t19,t13597]) ).
cnf(t262359,plain,
multiply(commutator(X1,sFlat4),multiply(c,X2)) = multiply(c,multiply(commutator(X1,sFlat4),X2)),
inference(step,[status(thm)],[t13603,t19]) ).
cnf(t16532,plain,
multiply(commutator(X1,sFlat4),multiply(c,X2)) = multiply(c,multiply(commutator(X1,sFlat4),X2)),
inference(orient,[status(thm)],[t262359]) ).
cnf(t262938,plain,
multiply(sFlat3,multiply(c,multiply(commutator(c,sFlat4),commutator(sFlat1,multiply(c,sFlat3))))) = multiply(commutator(c,sFlat4),multiply(sFlat2,multiply(c,sFlat3))),
inference(step,[status(thm)],[t32918,t16532]) ).
cnf(t10085,plain,
multiply(c,multiply(sFlat4,multiply(sFlat3,X1))) = multiply(sFlat4,multiply(c,multiply(sFlat3,multiply(commutator(c,sFlat4),X1)))),
inference(cp,[status(thm)],[t252,t10051]) ).
cnf(t262561,plain,
multiply(sFlat4,multiply(c,multiply(sFlat3,X1))) = multiply(sFlat4,multiply(c,multiply(sFlat3,multiply(commutator(c,sFlat4),X1)))),
inference(step,[status(thm)],[t10085,t6690]) ).
cnf(t3699,plain,
multiply(sFlat4,multiply(sFlat3,X1)) = multiply(multiply(sFlat3,sFlat4),X1),
inference(cp,[status(thm)],[t19,t3693]) ).
cnf(t261972,plain,
multiply(sFlat4,multiply(sFlat3,X1)) = multiply(sFlat3,multiply(sFlat4,X1)),
inference(step,[status(thm)],[t3699,t19]) ).
cnf(t3875,plain,
multiply(sFlat4,multiply(sFlat3,X1)) = multiply(sFlat3,multiply(sFlat4,X1)),
inference(orient,[status(thm)],[t261972]) ).
cnf(t6692,plain,
multiply(sFlat4,multiply(c,multiply(sFlat3,X1))) = multiply(c,multiply(sFlat3,multiply(sFlat4,X1))),
inference(cp,[status(thm)],[t6690,t3875]) ).
cnf(t69,plain,
multiply(c,multiply(multiply(sFlat3,sFlat4),X1)) = multiply(multiply(sFlat3,c),X1),
inference(cp,[status(thm)],[t19,t66]) ).
cnf(t261647,plain,
multiply(c,multiply(sFlat3,multiply(sFlat4,X1))) = multiply(multiply(sFlat3,c),X1),
inference(step,[status(thm)],[t69,t19]) ).
cnf(t261648,plain,
multiply(c,multiply(sFlat3,multiply(sFlat4,X1))) = multiply(sFlat3,multiply(c,X1)),
inference(step,[status(thm)],[t261647,t19]) ).
cnf(t135,plain,
multiply(c,multiply(sFlat3,multiply(sFlat4,X1))) = multiply(sFlat3,multiply(c,X1)),
inference(orient,[status(thm)],[t261648]) ).
cnf(t262118,plain,
multiply(sFlat4,multiply(c,multiply(sFlat3,X1))) = multiply(sFlat3,multiply(c,X1)),
inference(step,[status(thm)],[t6692,t135]) ).
cnf(t7708,plain,
multiply(sFlat4,multiply(c,multiply(sFlat3,X1))) = multiply(sFlat3,multiply(c,X1)),
inference(orient,[status(thm)],[t262118]) ).
cnf(t262562,plain,
multiply(sFlat3,multiply(c,X1)) = multiply(sFlat4,multiply(c,multiply(sFlat3,multiply(commutator(c,sFlat4),X1)))),
inference(step,[status(thm)],[t262561,t7708]) ).
cnf(t262563,plain,
multiply(sFlat3,multiply(c,X1)) = multiply(sFlat3,multiply(c,multiply(commutator(c,sFlat4),X1))),
inference(step,[status(thm)],[t262562,t7708]) ).
cnf(t26071,plain,
multiply(sFlat3,multiply(c,multiply(commutator(c,sFlat4),X1))) = multiply(sFlat3,multiply(c,X1)),
inference(orient,[status(thm)],[t262563]) ).
cnf(t262939,plain,
multiply(sFlat3,multiply(c,commutator(sFlat1,multiply(c,sFlat3)))) = multiply(commutator(c,sFlat4),multiply(sFlat2,multiply(c,sFlat3))),
inference(step,[status(thm)],[t262938,t26071]) ).
cnf(t262940,plain,
multiply(sFlat2,multiply(c,sFlat3)) = multiply(commutator(c,sFlat4),multiply(sFlat2,multiply(c,sFlat3))),
inference(step,[status(thm)],[t262939,t32900]) ).
cnf(t36527,plain,
multiply(commutator(c,sFlat4),multiply(sFlat2,multiply(c,sFlat3))) = multiply(sFlat2,multiply(c,sFlat3)),
inference(orient,[status(thm)],[t262940]) ).
cnf(t36530,plain,
commutator(X1,X1) = ifeq(multiply(sFlat2,multiply(c,sFlat3)),multiply(sFlat2,multiply(c,sFlat3)),commutator(c,sFlat4),commutator(X1,X1)),
inference(cp,[status(thm)],[t18301,t36527]) ).
cnf(t262941,plain,
commutator(X1,X1) = commutator(c,sFlat4),
inference(step,[status(thm)],[t36530,t11]) ).
cnf(t36559,plain,
commutator(X1,X1) = commutator(c,sFlat4),
inference(orient,[status(thm)],[t262941]) ).
cnf(t36618,plain,
commutator(sFlat0,c) = commutator(a,commutator(c,sFlat4)),
inference(cp,[status(thm)],[t72,t36559]) ).
cnf(t262946,plain,
commutator(sFlat0,sFlat0) = commutator(a,commutator(c,sFlat4)),
inference(step,[status(thm)],[t36618,t4193]) ).
cnf(t262947,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat0,sFlat4),
inference(step,[status(thm)],[t262946,t72]) ).
cnf(t36778,plain,
commutator(sFlat0,sFlat4) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262947]) ).
cnf(t36779,plain,
commutator(sFlat0,commutator(sFlat4,X1)) = commutator(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t39,t36778]) ).
cnf(t262967,plain,
commutator(sFlat0,commutator(sFlat4,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t36779,t39]) ).
cnf(t6069,plain,
commutator(X1,commutator(X1,X2)) = commutator(X3,X3),
inference(cp,[status(thm)],[t6066,t4526]) ).
cnf(t6552,plain,
commutator(X1,commutator(X1,X2)) = commutator(X3,X3),
inference(orient,[status(thm)],[t6069]) ).
cnf(t262968,plain,
commutator(sFlat0,commutator(sFlat4,X1)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t262967,t6552]) ).
cnf(t37232,plain,
commutator(sFlat0,commutator(sFlat4,X1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262968]) ).
cnf(t263758,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat0,commutator(sFlat1,X1)),
inference(step,[status(thm)],[t263757,t37232]) ).
cnf(t57591,plain,
commutator(sFlat0,commutator(sFlat1,X1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263758]) ).
cnf(t57615,plain,
multiply(sFlat0,commutator(sFlat1,X1)) = multiply(commutator(sFlat1,X1),multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t57591]) ).
cnf(t263793,plain,
multiply(sFlat0,commutator(sFlat1,X1)) = multiply(commutator(sFlat1,X1),sFlat0),
inference(step,[status(thm)],[t57615,t4967]) ).
cnf(t58579,plain,
multiply(commutator(sFlat1,X1),sFlat0) = multiply(sFlat0,commutator(sFlat1,X1)),
inference(orient,[status(thm)],[t263793]) ).
cnf(t58612,plain,
multiply(sFlat1,multiply(X1,sFlat0)) = multiply(X1,multiply(sFlat1,multiply(sFlat0,commutator(sFlat1,X1)))),
inference(cp,[status(thm)],[t252,t58579]) ).
cnf(t57280,plain,
commutator(sFlat0,commutator(sFlat3,c)) = commutator(sFlat0,sFlat1),
inference(cp,[status(thm)],[t57261,t48]) ).
cnf(t263605,plain,
commutator(sFlat0,sFlat4) = commutator(sFlat0,sFlat1),
inference(step,[status(thm)],[t57280,t41]) ).
cnf(t263606,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat0,sFlat1),
inference(step,[status(thm)],[t263605,t36778]) ).
cnf(t57320,plain,
commutator(sFlat0,sFlat1) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263606]) ).
cnf(t57333,plain,
multiply(sFlat0,multiply(sFlat1,X1)) = multiply(sFlat1,multiply(sFlat0,multiply(commutator(sFlat0,sFlat0),X1))),
inference(cp,[status(thm)],[t252,t57320]) ).
cnf(t263760,plain,
multiply(sFlat2,X1) = multiply(sFlat1,multiply(sFlat0,multiply(commutator(sFlat0,sFlat0),X1))),
inference(step,[status(thm)],[t57333,t88]) ).
cnf(t263761,plain,
multiply(sFlat2,X1) = multiply(sFlat1,multiply(sFlat0,X1)),
inference(step,[status(thm)],[t263760,t443]) ).
cnf(t57653,plain,
multiply(sFlat1,multiply(sFlat0,X1)) = multiply(sFlat2,X1),
inference(orient,[status(thm)],[t263761]) ).
cnf(t263868,plain,
multiply(sFlat1,multiply(X1,sFlat0)) = multiply(X1,multiply(sFlat2,commutator(sFlat1,X1))),
inference(step,[status(thm)],[t58612,t57653]) ).
cnf(t60482,plain,
multiply(X1,multiply(sFlat2,commutator(sFlat1,X1))) = multiply(sFlat1,multiply(X1,sFlat0)),
inference(orient,[status(thm)],[t263868]) ).
cnf(t4566,plain,
commutator(X1,X1) = ifeq(multiply(X1,X2),X1,X2,commutator(X3,X3)),
inference(cp,[status(thm)],[t1284,t4526]) ).
cnf(t18015,plain,
ifeq(multiply(X1,X2),X1,X2,commutator(X3,X3)) = commutator(X1,X1),
inference(orient,[status(thm)],[t4566]) ).
cnf(t10284,plain,
multiply(a,multiply(commutator(a,X1),b)) = multiply(commutator(a,X1),sFlat3),
inference(cp,[status(thm)],[t10164,t33]) ).
cnf(t10407,plain,
multiply(a,multiply(commutator(a,X1),b)) = multiply(commutator(a,X1),sFlat3),
inference(orient,[status(thm)],[t10284]) ).
cnf(t10408,plain,
multiply(commutator(a,b),sFlat3) = multiply(a,multiply(b,commutator(a,b))),
inference(cp,[status(thm)],[t10407,t9906]) ).
cnf(t262208,plain,
multiply(commutator(a,b),sFlat3) = multiply(sFlat3,commutator(a,b)),
inference(step,[status(thm)],[t10408,t57]) ).
cnf(t10448,plain,
multiply(commutator(a,b),sFlat3) = multiply(sFlat3,commutator(a,b)),
inference(orient,[status(thm)],[t262208]) ).
cnf(t10453,plain,
multiply(commutator(a,b),multiply(sFlat3,X1)) = multiply(multiply(sFlat3,commutator(a,b)),X1),
inference(cp,[status(thm)],[t19,t10448]) ).
cnf(t262320,plain,
multiply(commutator(a,b),multiply(sFlat3,X1)) = multiply(sFlat3,multiply(commutator(a,b),X1)),
inference(step,[status(thm)],[t10453,t19]) ).
cnf(t15268,plain,
multiply(commutator(a,b),multiply(sFlat3,X1)) = multiply(sFlat3,multiply(commutator(a,b),X1)),
inference(orient,[status(thm)],[t262320]) ).
cnf(t58,plain,
multiply(sFlat3,commutator(b,a)) = multiply(b,a),
inference(cp,[status(thm)],[t57,t14]) ).
cnf(t95,plain,
multiply(sFlat3,commutator(b,a)) = multiply(b,a),
inference(orient,[status(thm)],[t58]) ).
cnf(t15279,plain,
multiply(sFlat3,multiply(commutator(a,b),commutator(b,a))) = multiply(commutator(a,b),multiply(b,a)),
inference(cp,[status(thm)],[t15268,t95]) ).
cnf(t9924,plain,
multiply(commutator(X1,X2),multiply(X2,X3)) = multiply(multiply(X2,commutator(X1,X2)),X3),
inference(cp,[status(thm)],[t19,t9906]) ).
cnf(t262286,plain,
multiply(commutator(X1,X2),multiply(X2,X3)) = multiply(X2,multiply(commutator(X1,X2),X3)),
inference(step,[status(thm)],[t9924,t19]) ).
cnf(t13712,plain,
multiply(commutator(X1,X2),multiply(X2,X3)) = multiply(X2,multiply(commutator(X1,X2),X3)),
inference(orient,[status(thm)],[t262286]) ).
cnf(t262321,plain,
multiply(sFlat3,multiply(commutator(a,b),commutator(b,a))) = multiply(b,multiply(commutator(a,b),a)),
inference(step,[status(thm)],[t15279,t13712]) ).
cnf(t4955,plain,
multiply(a,multiply(commutator(X1,X1),b)) = multiply(sFlat3,commutator(commutator(X1,X1),b)),
inference(cp,[status(thm)],[t127,t4930]) ).
cnf(t261906,plain,
multiply(commutator(sFlat0,sFlat0),b) = b,
inference(step,[status(thm)],[t1670,t3317]) ).
cnf(t3362,plain,
multiply(commutator(sFlat0,sFlat0),b) = b,
inference(rw,[status(thm)],[t261906]) ).
cnf(t3576,plain,
multiply(commutator(sFlat0,sFlat0),b) = b,
inference(orient,[status(thm)],[t3362]) ).
cnf(t4538,plain,
b = multiply(commutator(X1,X1),b),
inference(cp,[status(thm)],[t3576,t4526]) ).
cnf(t4728,plain,
multiply(commutator(X1,X1),b) = b,
inference(orient,[status(thm)],[t4538]) ).
cnf(t262044,plain,
multiply(a,b) = multiply(sFlat3,commutator(commutator(X1,X1),b)),
inference(step,[status(thm)],[t4955,t4728]) ).
cnf(t262045,plain,
sFlat3 = multiply(sFlat3,commutator(commutator(X1,X1),b)),
inference(step,[status(thm)],[t262044,t33]) ).
cnf(t262046,plain,
sFlat3 = multiply(sFlat3,commutator(X1,commutator(X1,b))),
inference(step,[status(thm)],[t262045,t39]) ).
cnf(t5647,plain,
multiply(sFlat3,commutator(X1,commutator(X1,b))) = sFlat3,
inference(orient,[status(thm)],[t262046]) ).
cnf(t5654,plain,
commutator(sFlat3,sFlat3) = ifeq(sFlat3,sFlat3,commutator(X1,commutator(X1,b)),commutator(sFlat3,sFlat3)),
inference(cp,[status(thm)],[t1284,t5647]) ).
cnf(t262047,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat3,sFlat3,commutator(X1,commutator(X1,b)),commutator(sFlat3,sFlat3)),
inference(step,[status(thm)],[t5654,t4526]) ).
cnf(t262048,plain,
commutator(sFlat0,sFlat0) = commutator(X1,commutator(X1,b)),
inference(step,[status(thm)],[t262047,t11]) ).
cnf(t5676,plain,
commutator(X1,commutator(X1,b)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262048]) ).
cnf(t5684,plain,
multiply(X1,commutator(X1,b)) = multiply(commutator(X1,b),multiply(X1,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t5676]) ).
cnf(t262049,plain,
multiply(X1,commutator(X1,b)) = multiply(commutator(X1,b),X1),
inference(step,[status(thm)],[t5684,t4967]) ).
cnf(t5696,plain,
multiply(commutator(X1,b),X1) = multiply(X1,commutator(X1,b)),
inference(orient,[status(thm)],[t262049]) ).
cnf(t262322,plain,
multiply(sFlat3,multiply(commutator(a,b),commutator(b,a))) = multiply(b,multiply(a,commutator(a,b))),
inference(step,[status(thm)],[t262321,t5696]) ).
cnf(t262323,plain,
multiply(sFlat3,multiply(commutator(a,b),commutator(b,a))) = multiply(a,b),
inference(step,[status(thm)],[t262322,t14]) ).
cnf(t262324,plain,
multiply(sFlat3,multiply(commutator(a,b),commutator(b,a))) = sFlat3,
inference(step,[status(thm)],[t262323,t33]) ).
cnf(t15319,plain,
multiply(sFlat3,multiply(commutator(a,b),commutator(b,a))) = sFlat3,
inference(orient,[status(thm)],[t262324]) ).
cnf(t15334,plain,
commutator(sFlat3,sFlat3) = ifeq(sFlat3,sFlat3,multiply(commutator(a,b),commutator(b,a)),commutator(sFlat3,sFlat3)),
inference(cp,[status(thm)],[t1284,t15319]) ).
cnf(t262325,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat3,sFlat3,multiply(commutator(a,b),commutator(b,a)),commutator(sFlat3,sFlat3)),
inference(step,[status(thm)],[t15334,t4526]) ).
cnf(t262326,plain,
commutator(sFlat0,sFlat0) = multiply(commutator(a,b),commutator(b,a)),
inference(step,[status(thm)],[t262325,t11]) ).
cnf(t15361,plain,
multiply(commutator(a,b),commutator(b,a)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262326]) ).
cnf(t15369,plain,
multiply(commutator(a,b),multiply(commutator(b,a),X1)) = multiply(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t19,t15361]) ).
cnf(t262327,plain,
multiply(commutator(a,b),multiply(commutator(b,a),X1)) = X1,
inference(step,[status(thm)],[t15369,t4930]) ).
cnf(t15388,plain,
multiply(commutator(a,b),multiply(commutator(b,a),X1)) = X1,
inference(orient,[status(thm)],[t262327]) ).
cnf(t15389,plain,
commutator(b,commutator(a,commutator(a,b))) = multiply(commutator(b,a),commutator(a,b)),
inference(cp,[status(thm)],[t15388,t9628]) ).
cnf(t262382,plain,
commutator(b,commutator(sFlat0,sFlat0)) = multiply(commutator(b,a),commutator(a,b)),
inference(step,[status(thm)],[t15389,t6552]) ).
cnf(t262383,plain,
commutator(sFlat0,sFlat0) = multiply(commutator(b,a),commutator(a,b)),
inference(step,[status(thm)],[t262382,t3637]) ).
cnf(t17345,plain,
multiply(commutator(b,a),commutator(a,b)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262383]) ).
cnf(t17353,plain,
multiply(commutator(b,a),multiply(commutator(a,b),X1)) = multiply(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t19,t17345]) ).
cnf(t262384,plain,
multiply(commutator(b,a),multiply(commutator(a,b),X1)) = X1,
inference(step,[status(thm)],[t17353,t4930]) ).
cnf(t17372,plain,
multiply(commutator(b,a),multiply(commutator(a,b),X1)) = X1,
inference(orient,[status(thm)],[t262384]) ).
cnf(t60546,plain,
multiply(sFlat2,commutator(sFlat1,commutator(a,b))) = multiply(commutator(b,a),multiply(sFlat1,multiply(commutator(a,b),sFlat0))),
inference(cp,[status(thm)],[t17372,t60482]) ).
cnf(t9775,plain,
multiply(X1,multiply(X2,commutator(X1,commutator(X2,X1)))) = multiply(X2,multiply(commutator(X1,X2),X1)),
inference(cp,[status(thm)],[t252,t9628]) ).
cnf(t262416,plain,
multiply(X1,multiply(X2,commutator(X1,commutator(X2,X1)))) = multiply(X2,multiply(X1,commutator(X1,X2))),
inference(step,[status(thm)],[t9775,t6183]) ).
cnf(t262417,plain,
multiply(X1,multiply(X2,commutator(X1,commutator(X2,X1)))) = multiply(X1,X2),
inference(step,[status(thm)],[t262416,t14]) ).
cnf(t18876,plain,
multiply(X1,multiply(X2,commutator(X1,commutator(X2,X1)))) = multiply(X1,X2),
inference(orient,[status(thm)],[t262417]) ).
cnf(t96,plain,
X1 = ifeq(multiply(b,a),multiply(sFlat3,X1),commutator(b,a),X1),
inference(cp,[status(thm)],[t12,t95]) ).
cnf(t41677,plain,
ifeq(multiply(b,a),multiply(sFlat3,X1),commutator(b,a),X1) = X1,
inference(orient,[status(thm)],[t96]) ).
cnf(t3443,plain,
multiply(b,multiply(X1,a)) = multiply(X1,multiply(sFlat3,commutator(b,multiply(X1,a)))),
inference(cp,[status(thm)],[t3424,t57]) ).
cnf(t20363,plain,
multiply(X1,multiply(sFlat3,commutator(b,multiply(X1,a)))) = multiply(b,multiply(X1,a)),
inference(orient,[status(thm)],[t3443]) ).
cnf(t20481,plain,
multiply(sFlat3,commutator(b,multiply(commutator(a,b),a))) = multiply(commutator(b,a),multiply(b,multiply(commutator(a,b),a))),
inference(cp,[status(thm)],[t17372,t20363]) ).
cnf(t262454,plain,
multiply(sFlat3,commutator(b,multiply(a,commutator(a,b)))) = multiply(commutator(b,a),multiply(b,multiply(commutator(a,b),a))),
inference(step,[status(thm)],[t20481,t5696]) ).
cnf(t262455,plain,
multiply(sFlat3,commutator(b,multiply(a,commutator(a,b)))) = multiply(b,multiply(commutator(b,a),multiply(commutator(a,b),a))),
inference(step,[status(thm)],[t262454,t10164]) ).
cnf(t262456,plain,
multiply(sFlat3,commutator(b,multiply(a,commutator(a,b)))) = multiply(b,a),
inference(step,[status(thm)],[t262455,t17372]) ).
cnf(t20523,plain,
multiply(sFlat3,commutator(b,multiply(a,commutator(a,b)))) = multiply(b,a),
inference(orient,[status(thm)],[t262456]) ).
cnf(t41772,plain,
commutator(b,multiply(a,commutator(a,b))) = ifeq(multiply(b,a),multiply(b,a),commutator(b,a),commutator(b,multiply(a,commutator(a,b)))),
inference(cp,[status(thm)],[t41677,t20523]) ).
cnf(t263118,plain,
commutator(b,multiply(a,commutator(a,b))) = commutator(b,a),
inference(step,[status(thm)],[t41772,t11]) ).
cnf(t41813,plain,
commutator(b,multiply(a,commutator(a,b))) = commutator(b,a),
inference(orient,[status(thm)],[t263118]) ).
cnf(t41814,plain,
commutator(b,commutator(multiply(a,commutator(a,b)),X1)) = commutator(commutator(b,a),X1),
inference(cp,[status(thm)],[t39,t41813]) ).
cnf(t263187,plain,
commutator(b,commutator(multiply(a,commutator(a,b)),X1)) = commutator(b,commutator(a,X1)),
inference(step,[status(thm)],[t41814,t39]) ).
cnf(t44244,plain,
commutator(b,commutator(multiply(a,commutator(a,b)),X1)) = commutator(b,commutator(a,X1)),
inference(orient,[status(thm)],[t263187]) ).
cnf(t44279,plain,
multiply(b,multiply(a,commutator(a,b))) = multiply(b,multiply(multiply(a,commutator(a,b)),commutator(b,commutator(a,b)))),
inference(cp,[status(thm)],[t18876,t44244]) ).
cnf(t263188,plain,
multiply(a,b) = multiply(b,multiply(multiply(a,commutator(a,b)),commutator(b,commutator(a,b)))),
inference(step,[status(thm)],[t44279,t14]) ).
cnf(t263189,plain,
sFlat3 = multiply(b,multiply(multiply(a,commutator(a,b)),commutator(b,commutator(a,b)))),
inference(step,[status(thm)],[t263188,t33]) ).
cnf(t263190,plain,
sFlat3 = multiply(b,multiply(a,multiply(commutator(a,b),commutator(b,commutator(a,b))))),
inference(step,[status(thm)],[t263189,t19]) ).
cnf(t263191,plain,
sFlat3 = multiply(a,multiply(b,commutator(b,commutator(a,b)))),
inference(step,[status(thm)],[t263190,t252]) ).
cnf(t263192,plain,
sFlat3 = multiply(sFlat3,commutator(b,commutator(a,b))),
inference(step,[status(thm)],[t263191,t57]) ).
cnf(t44286,plain,
multiply(sFlat3,commutator(b,commutator(a,b))) = sFlat3,
inference(orient,[status(thm)],[t263192]) ).
cnf(t44291,plain,
commutator(sFlat3,sFlat3) = ifeq(sFlat3,sFlat3,commutator(b,commutator(a,b)),commutator(X1,X1)),
inference(cp,[status(thm)],[t18015,t44286]) ).
cnf(t263193,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat3,sFlat3,commutator(b,commutator(a,b)),commutator(X1,X1)),
inference(step,[status(thm)],[t44291,t4526]) ).
cnf(t263194,plain,
commutator(sFlat0,sFlat0) = commutator(b,commutator(a,b)),
inference(step,[status(thm)],[t263193,t11]) ).
cnf(t44329,plain,
commutator(b,commutator(a,b)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263194]) ).
cnf(t44330,plain,
commutator(b,commutator(commutator(a,b),X1)) = commutator(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t39,t44329]) ).
cnf(t263195,plain,
commutator(b,commutator(a,commutator(b,X1))) = commutator(commutator(sFlat0,sFlat0),X1),
inference(step,[status(thm)],[t44330,t39]) ).
cnf(t263196,plain,
commutator(b,commutator(a,commutator(b,X1))) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t263195,t39]) ).
cnf(t263197,plain,
commutator(b,commutator(a,commutator(b,X1))) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t263196,t6552]) ).
cnf(t44351,plain,
commutator(b,commutator(a,commutator(b,X1))) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263197]) ).
cnf(t44362,plain,
commutator(sFlat0,sFlat0) = commutator(b,commutator(a,sFlat1)),
inference(cp,[status(thm)],[t44351,t48]) ).
cnf(t44402,plain,
commutator(b,commutator(a,sFlat1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t44362]) ).
cnf(t44426,plain,
multiply(commutator(b,a),sFlat1) = multiply(sFlat1,multiply(commutator(b,a),commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t9628,t44402]) ).
cnf(t263199,plain,
multiply(commutator(b,a),sFlat1) = multiply(sFlat1,commutator(b,a)),
inference(step,[status(thm)],[t44426,t4967]) ).
cnf(t44581,plain,
multiply(commutator(b,a),sFlat1) = multiply(sFlat1,commutator(b,a)),
inference(orient,[status(thm)],[t263199]) ).
cnf(t44590,plain,
multiply(commutator(b,a),multiply(sFlat1,X1)) = multiply(multiply(sFlat1,commutator(b,a)),X1),
inference(cp,[status(thm)],[t19,t44581]) ).
cnf(t263211,plain,
multiply(commutator(b,a),multiply(sFlat1,X1)) = multiply(sFlat1,multiply(commutator(b,a),X1)),
inference(step,[status(thm)],[t44590,t19]) ).
cnf(t44995,plain,
multiply(commutator(b,a),multiply(sFlat1,X1)) = multiply(sFlat1,multiply(commutator(b,a),X1)),
inference(orient,[status(thm)],[t263211]) ).
cnf(t263869,plain,
multiply(sFlat2,commutator(sFlat1,commutator(a,b))) = multiply(sFlat1,multiply(commutator(b,a),multiply(commutator(a,b),sFlat0))),
inference(step,[status(thm)],[t60546,t44995]) ).
cnf(t263870,plain,
multiply(sFlat2,commutator(sFlat1,commutator(a,b))) = multiply(sFlat1,sFlat0),
inference(step,[status(thm)],[t263869,t17372]) ).
cnf(t57322,plain,
multiply(sFlat0,sFlat1) = multiply(sFlat1,multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t57320]) ).
cnf(t263651,plain,
sFlat2 = multiply(sFlat1,multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(step,[status(thm)],[t57322,t51]) ).
cnf(t263652,plain,
sFlat2 = multiply(sFlat1,sFlat0),
inference(step,[status(thm)],[t263651,t4967]) ).
cnf(t57372,plain,
multiply(sFlat1,sFlat0) = sFlat2,
inference(orient,[status(thm)],[t263652]) ).
cnf(t263871,plain,
multiply(sFlat2,commutator(sFlat1,commutator(a,b))) = sFlat2,
inference(step,[status(thm)],[t263870,t57372]) ).
cnf(t61042,plain,
multiply(sFlat2,commutator(sFlat1,commutator(a,b))) = sFlat2,
inference(orient,[status(thm)],[t263871]) ).
cnf(t61051,plain,
commutator(sFlat2,sFlat2) = ifeq(sFlat2,sFlat2,commutator(sFlat1,commutator(a,b)),commutator(X1,X1)),
inference(cp,[status(thm)],[t18015,t61042]) ).
cnf(t4933,plain,
X1 = multiply(commutator(X2,commutator(X3,commutator(X2,X3))),X1),
inference(cp,[status(thm)],[t4930,t39]) ).
cnf(t8145,plain,
multiply(commutator(X1,commutator(X2,commutator(X1,X2))),X3) = X3,
inference(orient,[status(thm)],[t4933]) ).
cnf(t8163,plain,
X1 = multiply(commutator(c,commutator(sFlat0,a)),X1),
inference(cp,[status(thm)],[t8145,t72]) ).
cnf(t8263,plain,
multiply(commutator(c,commutator(sFlat0,a)),X1) = X1,
inference(orient,[status(thm)],[t8163]) ).
cnf(t8267,plain,
c = multiply(c,commutator(c,commutator(sFlat0,a))),
inference(cp,[status(thm)],[t8263,t6183]) ).
cnf(t8662,plain,
multiply(c,commutator(c,commutator(sFlat0,a))) = c,
inference(orient,[status(thm)],[t8267]) ).
cnf(t8671,plain,
commutator(c,c) = ifeq(c,c,commutator(c,commutator(sFlat0,a)),commutator(c,c)),
inference(cp,[status(thm)],[t1284,t8662]) ).
cnf(t262147,plain,
commutator(sFlat0,sFlat0) = ifeq(c,c,commutator(c,commutator(sFlat0,a)),commutator(c,c)),
inference(step,[status(thm)],[t8671,t4526]) ).
cnf(t262148,plain,
commutator(sFlat0,sFlat0) = commutator(c,commutator(sFlat0,a)),
inference(step,[status(thm)],[t262147,t11]) ).
cnf(t8691,plain,
commutator(c,commutator(sFlat0,a)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262148]) ).
cnf(t8695,plain,
commutator(sFlat1,commutator(sFlat0,a)) = commutator(b,commutator(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t80,t8691]) ).
cnf(t262149,plain,
commutator(sFlat1,commutator(sFlat0,a)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t8695,t3637]) ).
cnf(t8710,plain,
commutator(sFlat1,commutator(sFlat0,a)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262149]) ).
cnf(t8713,plain,
multiply(sFlat1,commutator(sFlat0,a)) = multiply(commutator(sFlat0,a),multiply(sFlat1,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t8710]) ).
cnf(t2343,plain,
sFlat1 = multiply(sFlat1,commutator(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t375,t2334]) ).
cnf(t2395,plain,
multiply(sFlat1,commutator(sFlat0,sFlat0)) = sFlat1,
inference(orient,[status(thm)],[t2343]) ).
cnf(t262152,plain,
multiply(sFlat1,commutator(sFlat0,a)) = multiply(commutator(sFlat0,a),sFlat1),
inference(step,[status(thm)],[t8713,t2395]) ).
cnf(t8751,plain,
multiply(commutator(sFlat0,a),sFlat1) = multiply(sFlat1,commutator(sFlat0,a)),
inference(orient,[status(thm)],[t262152]) ).
cnf(t10320,plain,
multiply(commutator(sFlat0,a),sFlat2) = multiply(sFlat0,multiply(sFlat1,commutator(sFlat0,a))),
inference(cp,[status(thm)],[t10319,t8751]) ).
cnf(t262206,plain,
multiply(commutator(sFlat0,a),sFlat2) = multiply(sFlat2,commutator(sFlat0,a)),
inference(step,[status(thm)],[t10320,t88]) ).
cnf(t10358,plain,
multiply(commutator(sFlat0,a),sFlat2) = multiply(sFlat2,commutator(sFlat0,a)),
inference(orient,[status(thm)],[t262206]) ).
cnf(t10363,plain,
multiply(commutator(sFlat0,a),multiply(sFlat2,X1)) = multiply(multiply(sFlat2,commutator(sFlat0,a)),X1),
inference(cp,[status(thm)],[t19,t10358]) ).
cnf(t262298,plain,
multiply(commutator(sFlat0,a),multiply(sFlat2,X1)) = multiply(sFlat2,multiply(commutator(sFlat0,a),X1)),
inference(step,[status(thm)],[t10363,t19]) ).
cnf(t14577,plain,
multiply(commutator(sFlat0,a),multiply(sFlat2,X1)) = multiply(sFlat2,multiply(commutator(sFlat0,a),X1)),
inference(orient,[status(thm)],[t262298]) ).
cnf(t36785,plain,
multiply(sFlat0,multiply(sFlat4,sFlat1)) = multiply(sFlat4,multiply(commutator(sFlat0,sFlat0),sFlat2)),
inference(cp,[status(thm)],[t10473,t36778]) ).
cnf(t36617,plain,
commutator(sFlat1,c) = commutator(b,commutator(c,sFlat4)),
inference(cp,[status(thm)],[t80,t36559]) ).
cnf(t262942,plain,
commutator(sFlat0,sFlat0) = commutator(b,commutator(c,sFlat4)),
inference(step,[status(thm)],[t36617,t4184]) ).
cnf(t262943,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat1,sFlat4),
inference(step,[status(thm)],[t262942,t80]) ).
cnf(t36746,plain,
commutator(sFlat1,sFlat4) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262943]) ).
cnf(t36749,plain,
multiply(sFlat1,sFlat4) = multiply(sFlat4,multiply(sFlat1,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t36746]) ).
cnf(t262950,plain,
multiply(sFlat1,sFlat4) = multiply(sFlat4,sFlat1),
inference(step,[status(thm)],[t36749,t2395]) ).
cnf(t36802,plain,
multiply(sFlat4,sFlat1) = multiply(sFlat1,sFlat4),
inference(orient,[status(thm)],[t262950]) ).
cnf(t262956,plain,
multiply(sFlat0,multiply(sFlat1,sFlat4)) = multiply(sFlat4,multiply(commutator(sFlat0,sFlat0),sFlat2)),
inference(step,[status(thm)],[t36785,t36802]) ).
cnf(t262957,plain,
multiply(sFlat2,sFlat4) = multiply(sFlat4,multiply(commutator(sFlat0,sFlat0),sFlat2)),
inference(step,[status(thm)],[t262956,t88]) ).
cnf(t262958,plain,
multiply(sFlat2,sFlat4) = multiply(sFlat4,sFlat2),
inference(step,[status(thm)],[t262957,t2005]) ).
cnf(t36869,plain,
multiply(sFlat4,sFlat2) = multiply(sFlat2,sFlat4),
inference(orient,[status(thm)],[t262958]) ).
cnf(t36881,plain,
multiply(sFlat4,multiply(sFlat2,X1)) = multiply(multiply(sFlat2,sFlat4),X1),
inference(cp,[status(thm)],[t19,t36869]) ).
cnf(t262978,plain,
multiply(sFlat4,multiply(sFlat2,X1)) = multiply(sFlat2,multiply(sFlat4,X1)),
inference(step,[status(thm)],[t36881,t19]) ).
cnf(t37420,plain,
multiply(sFlat4,multiply(sFlat2,X1)) = multiply(sFlat2,multiply(sFlat4,X1)),
inference(orient,[status(thm)],[t262978]) ).
cnf(t37507,plain,
multiply(sFlat2,multiply(sFlat4,multiply(X1,commutator(X1,sFlat2)))) = multiply(sFlat4,multiply(X1,sFlat2)),
inference(cp,[status(thm)],[t37420,t14]) ).
cnf(t42291,plain,
multiply(sFlat2,multiply(sFlat4,multiply(X1,commutator(X1,sFlat2)))) = multiply(sFlat4,multiply(X1,sFlat2)),
inference(orient,[status(thm)],[t37507]) ).
cnf(t42295,plain,
multiply(sFlat4,multiply(sFlat3,sFlat2)) = multiply(sFlat2,multiply(sFlat3,multiply(sFlat4,commutator(sFlat3,sFlat2)))),
inference(cp,[status(thm)],[t42291,t3875]) ).
cnf(t263229,plain,
multiply(sFlat3,multiply(sFlat4,sFlat2)) = multiply(sFlat2,multiply(sFlat3,multiply(sFlat4,commutator(sFlat3,sFlat2)))),
inference(step,[status(thm)],[t42295,t3875]) ).
cnf(t263230,plain,
multiply(sFlat3,multiply(sFlat2,sFlat4)) = multiply(sFlat2,multiply(sFlat3,multiply(sFlat4,commutator(sFlat3,sFlat2)))),
inference(step,[status(thm)],[t263229,t36869]) ).
cnf(t45692,plain,
multiply(sFlat2,multiply(sFlat3,multiply(sFlat4,commutator(sFlat3,sFlat2)))) = multiply(sFlat3,multiply(sFlat2,sFlat4)),
inference(orient,[status(thm)],[t263230]) ).
cnf(t45705,plain,
multiply(sFlat2,multiply(commutator(sFlat0,a),multiply(sFlat3,multiply(sFlat4,commutator(sFlat3,sFlat2))))) = multiply(commutator(sFlat0,a),multiply(sFlat3,multiply(sFlat2,sFlat4))),
inference(cp,[status(thm)],[t14577,t45692]) ).
cnf(t6335,plain,
multiply(sFlat0,multiply(a,multiply(commutator(sFlat0,a),X1))) = multiply(sFlat0,multiply(a,X1)),
inference(cp,[status(thm)],[t6333,t252]) ).
cnf(t22624,plain,
multiply(sFlat0,multiply(a,multiply(commutator(sFlat0,a),X1))) = multiply(sFlat0,multiply(a,X1)),
inference(orient,[status(thm)],[t6335]) ).
cnf(t10409,plain,
multiply(commutator(a,commutator(c,X1)),sFlat3) = multiply(a,multiply(commutator(sFlat0,X1),b)),
inference(cp,[status(thm)],[t10407,t72]) ).
cnf(t262216,plain,
multiply(commutator(sFlat0,X1),sFlat3) = multiply(a,multiply(commutator(sFlat0,X1),b)),
inference(step,[status(thm)],[t10409,t72]) ).
cnf(t10637,plain,
multiply(a,multiply(commutator(sFlat0,X1),b)) = multiply(commutator(sFlat0,X1),sFlat3),
inference(orient,[status(thm)],[t262216]) ).
cnf(t22627,plain,
multiply(sFlat0,multiply(a,b)) = multiply(sFlat0,multiply(commutator(sFlat0,a),sFlat3)),
inference(cp,[status(thm)],[t22624,t10637]) ).
cnf(t262495,plain,
multiply(sFlat0,sFlat3) = multiply(sFlat0,multiply(commutator(sFlat0,a),sFlat3)),
inference(step,[status(thm)],[t22627,t33]) ).
cnf(t22696,plain,
multiply(sFlat0,multiply(commutator(sFlat0,a),sFlat3)) = multiply(sFlat0,sFlat3),
inference(orient,[status(thm)],[t262495]) ).
cnf(t22711,plain,
multiply(sFlat0,multiply(multiply(commutator(sFlat0,a),sFlat3),X1)) = multiply(multiply(sFlat0,sFlat3),X1),
inference(cp,[status(thm)],[t19,t22696]) ).
cnf(t262779,plain,
multiply(sFlat0,multiply(commutator(sFlat0,a),multiply(sFlat3,X1))) = multiply(multiply(sFlat0,sFlat3),X1),
inference(step,[status(thm)],[t22711,t19]) ).
cnf(t262780,plain,
multiply(sFlat0,multiply(commutator(sFlat0,a),multiply(sFlat3,X1))) = multiply(sFlat0,multiply(sFlat3,X1)),
inference(step,[status(thm)],[t262779,t19]) ).
cnf(t32039,plain,
multiply(sFlat0,multiply(commutator(sFlat0,a),multiply(sFlat3,X1))) = multiply(sFlat0,multiply(sFlat3,X1)),
inference(orient,[status(thm)],[t262780]) ).
cnf(t6184,plain,
multiply(b,commutator(b,commutator(c,X1))) = multiply(commutator(sFlat1,X1),b),
inference(cp,[status(thm)],[t6183,t80]) ).
cnf(t262090,plain,
multiply(b,commutator(sFlat1,X1)) = multiply(commutator(sFlat1,X1),b),
inference(step,[status(thm)],[t6184,t80]) ).
cnf(t6269,plain,
multiply(commutator(sFlat1,X1),b) = multiply(b,commutator(sFlat1,X1)),
inference(orient,[status(thm)],[t262090]) ).
cnf(t6288,plain,
multiply(sFlat1,multiply(X1,b)) = multiply(X1,multiply(sFlat1,multiply(b,commutator(sFlat1,X1)))),
inference(cp,[status(thm)],[t252,t6269]) ).
cnf(t21561,plain,
multiply(X1,multiply(sFlat1,multiply(b,commutator(sFlat1,X1)))) = multiply(sFlat1,multiply(X1,b)),
inference(orient,[status(thm)],[t6288]) ).
cnf(t21566,plain,
multiply(sFlat1,multiply(a,b)) = multiply(sFlat3,multiply(sFlat1,commutator(sFlat1,a))),
inference(cp,[status(thm)],[t21561,t6922]) ).
cnf(t262473,plain,
multiply(sFlat1,sFlat3) = multiply(sFlat3,multiply(sFlat1,commutator(sFlat1,a))),
inference(step,[status(thm)],[t21566,t33]) ).
cnf(t21691,plain,
multiply(sFlat3,multiply(sFlat1,commutator(sFlat1,a))) = multiply(sFlat1,sFlat3),
inference(orient,[status(thm)],[t262473]) ).
cnf(t21715,plain,
multiply(sFlat3,multiply(multiply(sFlat1,commutator(sFlat1,a)),X1)) = multiply(multiply(sFlat1,sFlat3),X1),
inference(cp,[status(thm)],[t19,t21691]) ).
cnf(t262738,plain,
multiply(sFlat3,multiply(sFlat1,multiply(commutator(sFlat1,a),X1))) = multiply(multiply(sFlat1,sFlat3),X1),
inference(step,[status(thm)],[t21715,t19]) ).
cnf(t262739,plain,
multiply(sFlat3,multiply(sFlat1,multiply(commutator(sFlat1,a),X1))) = multiply(sFlat1,multiply(sFlat3,X1)),
inference(step,[status(thm)],[t262738,t19]) ).
cnf(t31399,plain,
multiply(sFlat3,multiply(sFlat1,multiply(commutator(sFlat1,a),X1))) = multiply(sFlat1,multiply(sFlat3,X1)),
inference(orient,[status(thm)],[t262739]) ).
cnf(t32057,plain,
multiply(sFlat0,multiply(sFlat3,multiply(sFlat1,multiply(commutator(sFlat1,a),X1)))) = multiply(sFlat0,multiply(commutator(sFlat0,a),multiply(sFlat1,multiply(sFlat3,X1)))),
inference(cp,[status(thm)],[t32039,t31399]) ).
cnf(t262922,plain,
multiply(sFlat0,multiply(sFlat1,multiply(sFlat3,X1))) = multiply(sFlat0,multiply(commutator(sFlat0,a),multiply(sFlat1,multiply(sFlat3,X1)))),
inference(step,[status(thm)],[t32057,t31399]) ).
cnf(t262923,plain,
multiply(sFlat2,multiply(sFlat3,X1)) = multiply(sFlat0,multiply(commutator(sFlat0,a),multiply(sFlat1,multiply(sFlat3,X1)))),
inference(step,[status(thm)],[t262922,t88]) ).
cnf(t8716,plain,
multiply(sFlat1,multiply(commutator(sFlat0,a),X1)) = multiply(commutator(sFlat0,a),multiply(sFlat1,multiply(commutator(sFlat0,sFlat0),X1))),
inference(cp,[status(thm)],[t252,t8710]) ).
cnf(t262244,plain,
multiply(sFlat1,multiply(commutator(sFlat0,a),X1)) = multiply(commutator(sFlat0,a),multiply(sFlat1,X1)),
inference(step,[status(thm)],[t8716,t2763]) ).
cnf(t11951,plain,
multiply(commutator(sFlat0,a),multiply(sFlat1,X1)) = multiply(sFlat1,multiply(commutator(sFlat0,a),X1)),
inference(orient,[status(thm)],[t262244]) ).
cnf(t262924,plain,
multiply(sFlat2,multiply(sFlat3,X1)) = multiply(sFlat0,multiply(sFlat1,multiply(commutator(sFlat0,a),multiply(sFlat3,X1)))),
inference(step,[status(thm)],[t262923,t11951]) ).
cnf(t262925,plain,
multiply(sFlat2,multiply(sFlat3,X1)) = multiply(sFlat2,multiply(commutator(sFlat0,a),multiply(sFlat3,X1))),
inference(step,[status(thm)],[t262924,t88]) ).
cnf(t36097,plain,
multiply(sFlat2,multiply(commutator(sFlat0,a),multiply(sFlat3,X1))) = multiply(sFlat2,multiply(sFlat3,X1)),
inference(orient,[status(thm)],[t262925]) ).
cnf(t263338,plain,
multiply(sFlat2,multiply(sFlat3,multiply(sFlat4,commutator(sFlat3,sFlat2)))) = multiply(commutator(sFlat0,a),multiply(sFlat3,multiply(sFlat2,sFlat4))),
inference(step,[status(thm)],[t45705,t36097]) ).
cnf(t263339,plain,
multiply(sFlat3,multiply(sFlat2,sFlat4)) = multiply(commutator(sFlat0,a),multiply(sFlat3,multiply(sFlat2,sFlat4))),
inference(step,[status(thm)],[t263338,t45692]) ).
cnf(t47405,plain,
multiply(commutator(sFlat0,a),multiply(sFlat3,multiply(sFlat2,sFlat4))) = multiply(sFlat3,multiply(sFlat2,sFlat4)),
inference(orient,[status(thm)],[t263339]) ).
cnf(t47408,plain,
commutator(X1,X1) = ifeq(multiply(sFlat3,multiply(sFlat2,sFlat4)),multiply(sFlat3,multiply(sFlat2,sFlat4)),commutator(sFlat0,a),commutator(X1,X1)),
inference(cp,[status(thm)],[t18301,t47405]) ).
cnf(t263340,plain,
commutator(X1,X1) = commutator(sFlat0,a),
inference(step,[status(thm)],[t47408,t11]) ).
cnf(t47437,plain,
commutator(X1,X1) = commutator(sFlat0,a),
inference(orient,[status(thm)],[t263340]) ).
cnf(t263872,plain,
commutator(sFlat0,a) = ifeq(sFlat2,sFlat2,commutator(sFlat1,commutator(a,b)),commutator(X1,X1)),
inference(step,[status(thm)],[t61051,t47437]) ).
cnf(t263873,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat2,sFlat2,commutator(sFlat1,commutator(a,b)),commutator(X1,X1)),
inference(step,[status(thm)],[t263872,t47437]) ).
cnf(t263874,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat1,commutator(a,b)),
inference(step,[status(thm)],[t263873,t11]) ).
cnf(t61085,plain,
commutator(sFlat1,commutator(a,b)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263874]) ).
cnf(t61090,plain,
multiply(sFlat1,multiply(commutator(a,b),sFlat0)) = multiply(commutator(a,b),multiply(sFlat2,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t60482,t61085]) ).
cnf(t47676,plain,
multiply(commutator(sFlat0,a),X1) = multiply(X1,multiply(commutator(X2,X2),commutator(sFlat0,commutator(a,X1)))),
inference(cp,[status(thm)],[t9628,t47437]) ).
cnf(t263341,plain,
multiply(commutator(sFlat0,sFlat0),X1) = multiply(X1,multiply(commutator(X2,X2),commutator(sFlat0,commutator(a,X1)))),
inference(step,[status(thm)],[t47676,t47437]) ).
cnf(t263342,plain,
X1 = multiply(X1,multiply(commutator(X2,X2),commutator(sFlat0,commutator(a,X1)))),
inference(step,[status(thm)],[t263341,t4930]) ).
cnf(t263343,plain,
X1 = multiply(X1,commutator(sFlat0,commutator(a,X1))),
inference(step,[status(thm)],[t263342,t4930]) ).
cnf(t47729,plain,
multiply(X1,commutator(sFlat0,commutator(a,X1))) = X1,
inference(orient,[status(thm)],[t263343]) ).
cnf(t47836,plain,
multiply(sFlat3,commutator(sFlat0,commutator(a,b))) = multiply(a,b),
inference(cp,[status(thm)],[t57,t47729]) ).
cnf(t263358,plain,
multiply(sFlat3,commutator(sFlat0,commutator(a,b))) = sFlat3,
inference(step,[status(thm)],[t47836,t33]) ).
cnf(t48140,plain,
multiply(sFlat3,commutator(sFlat0,commutator(a,b))) = sFlat3,
inference(orient,[status(thm)],[t263358]) ).
cnf(t48147,plain,
commutator(sFlat3,sFlat3) = ifeq(sFlat3,sFlat3,commutator(sFlat0,commutator(a,b)),commutator(X1,X1)),
inference(cp,[status(thm)],[t18015,t48140]) ).
cnf(t263359,plain,
commutator(sFlat0,a) = ifeq(sFlat3,sFlat3,commutator(sFlat0,commutator(a,b)),commutator(X1,X1)),
inference(step,[status(thm)],[t48147,t47437]) ).
cnf(t263360,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat3,sFlat3,commutator(sFlat0,commutator(a,b)),commutator(X1,X1)),
inference(step,[status(thm)],[t263359,t47437]) ).
cnf(t263361,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat0,commutator(a,b)),
inference(step,[status(thm)],[t263360,t11]) ).
cnf(t48181,plain,
commutator(sFlat0,commutator(a,b)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263361]) ).
cnf(t48183,plain,
multiply(sFlat0,commutator(a,b)) = multiply(commutator(a,b),multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t48181]) ).
cnf(t263362,plain,
multiply(sFlat0,commutator(a,b)) = multiply(commutator(a,b),sFlat0),
inference(step,[status(thm)],[t48183,t4967]) ).
cnf(t48205,plain,
multiply(commutator(a,b),sFlat0) = multiply(sFlat0,commutator(a,b)),
inference(orient,[status(thm)],[t263362]) ).
cnf(t263876,plain,
multiply(sFlat1,multiply(sFlat0,commutator(a,b))) = multiply(commutator(a,b),multiply(sFlat2,commutator(sFlat0,sFlat0))),
inference(step,[status(thm)],[t61090,t48205]) ).
cnf(t263877,plain,
multiply(sFlat2,commutator(a,b)) = multiply(commutator(a,b),multiply(sFlat2,commutator(sFlat0,sFlat0))),
inference(step,[status(thm)],[t263876,t57653]) ).
cnf(t261818,plain,
multiply(sFlat2,commutator(sFlat0,sFlat0)) = sFlat2,
inference(step,[status(thm)],[t423,t2334]) ).
cnf(t2368,plain,
multiply(sFlat2,commutator(sFlat0,sFlat0)) = sFlat2,
inference(rw,[status(thm)],[t261818]) ).
cnf(t2413,plain,
multiply(sFlat2,commutator(sFlat0,sFlat0)) = sFlat2,
inference(orient,[status(thm)],[t2368]) ).
cnf(t263878,plain,
multiply(sFlat2,commutator(a,b)) = multiply(commutator(a,b),sFlat2),
inference(step,[status(thm)],[t263877,t2413]) ).
cnf(t61145,plain,
multiply(commutator(a,b),sFlat2) = multiply(sFlat2,commutator(a,b)),
inference(orient,[status(thm)],[t263878]) ).
cnf(t61153,plain,
multiply(commutator(a,b),multiply(sFlat2,X1)) = multiply(multiply(sFlat2,commutator(a,b)),X1),
inference(cp,[status(thm)],[t19,t61145]) ).
cnf(t264087,plain,
multiply(commutator(a,b),multiply(sFlat2,X1)) = multiply(sFlat2,multiply(commutator(a,b),X1)),
inference(step,[status(thm)],[t61153,t19]) ).
cnf(t71116,plain,
multiply(commutator(a,b),multiply(sFlat2,X1)) = multiply(sFlat2,multiply(commutator(a,b),X1)),
inference(orient,[status(thm)],[t264087]) ).
cnf(t261944,plain,
commutator(b,sFlat1) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t753,t3676]) ).
cnf(t3677,plain,
commutator(b,sFlat1) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t261944]) ).
cnf(t57279,plain,
commutator(sFlat0,commutator(sFlat3,sFlat1)) = commutator(sFlat0,commutator(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t57261,t3677]) ).
cnf(t263769,plain,
commutator(sFlat0,commutator(sFlat3,sFlat1)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t57279,t6460]) ).
cnf(t57798,plain,
commutator(sFlat0,commutator(sFlat3,sFlat1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263769]) ).
cnf(t57814,plain,
multiply(commutator(sFlat0,sFlat3),sFlat1) = multiply(sFlat1,multiply(commutator(sFlat0,sFlat3),commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t9628,t57798]) ).
cnf(t263814,plain,
multiply(commutator(sFlat0,sFlat3),sFlat1) = multiply(sFlat1,commutator(sFlat0,sFlat3)),
inference(step,[status(thm)],[t57814,t4967]) ).
cnf(t58857,plain,
multiply(commutator(sFlat0,sFlat3),sFlat1) = multiply(sFlat1,commutator(sFlat0,sFlat3)),
inference(orient,[status(thm)],[t263814]) ).
cnf(t58877,plain,
multiply(commutator(sFlat0,sFlat3),sFlat2) = multiply(sFlat0,multiply(sFlat1,commutator(sFlat0,sFlat3))),
inference(cp,[status(thm)],[t10319,t58857]) ).
cnf(t263819,plain,
sFlat4 = multiply(sFlat0,multiply(sFlat1,commutator(sFlat0,sFlat3))),
inference(step,[status(thm)],[t58877,t52734]) ).
cnf(t263820,plain,
sFlat4 = multiply(sFlat2,commutator(sFlat0,sFlat3)),
inference(step,[status(thm)],[t263819,t88]) ).
cnf(t58891,plain,
multiply(sFlat2,commutator(sFlat0,sFlat3)) = sFlat4,
inference(orient,[status(thm)],[t263820]) ).
cnf(t71145,plain,
multiply(sFlat2,multiply(commutator(a,b),commutator(sFlat0,sFlat3))) = multiply(commutator(a,b),sFlat4),
inference(cp,[status(thm)],[t71116,t58891]) ).
cnf(t10321,plain,
multiply(commutator(sFlat0,sFlat1),sFlat2) = multiply(sFlat0,multiply(sFlat1,commutator(sFlat0,sFlat1))),
inference(cp,[status(thm)],[t10319,t9906]) ).
cnf(t262207,plain,
multiply(commutator(sFlat0,sFlat1),sFlat2) = multiply(sFlat2,commutator(sFlat0,sFlat1)),
inference(step,[status(thm)],[t10321,t88]) ).
cnf(t10382,plain,
multiply(commutator(sFlat0,sFlat1),sFlat2) = multiply(sFlat2,commutator(sFlat0,sFlat1)),
inference(orient,[status(thm)],[t262207]) ).
cnf(t10387,plain,
multiply(commutator(sFlat0,sFlat1),multiply(sFlat2,X1)) = multiply(multiply(sFlat2,commutator(sFlat0,sFlat1)),X1),
inference(cp,[status(thm)],[t19,t10382]) ).
cnf(t262299,plain,
multiply(commutator(sFlat0,sFlat1),multiply(sFlat2,X1)) = multiply(sFlat2,multiply(commutator(sFlat0,sFlat1),X1)),
inference(step,[status(thm)],[t10387,t19]) ).
cnf(t14636,plain,
multiply(commutator(sFlat0,sFlat1),multiply(sFlat2,X1)) = multiply(sFlat2,multiply(commutator(sFlat0,sFlat1),X1)),
inference(orient,[status(thm)],[t262299]) ).
cnf(t89,plain,
multiply(sFlat2,commutator(sFlat1,sFlat0)) = multiply(sFlat1,sFlat0),
inference(cp,[status(thm)],[t88,t14]) ).
cnf(t101,plain,
multiply(sFlat2,commutator(sFlat1,sFlat0)) = multiply(sFlat1,sFlat0),
inference(orient,[status(thm)],[t89]) ).
cnf(t14654,plain,
multiply(sFlat2,multiply(commutator(sFlat0,sFlat1),commutator(sFlat1,sFlat0))) = multiply(commutator(sFlat0,sFlat1),multiply(sFlat1,sFlat0)),
inference(cp,[status(thm)],[t14636,t101]) ).
cnf(t262300,plain,
multiply(sFlat2,multiply(commutator(sFlat0,sFlat1),commutator(sFlat1,sFlat0))) = multiply(sFlat1,multiply(commutator(sFlat0,sFlat1),sFlat0)),
inference(step,[status(thm)],[t14654,t13712]) ).
cnf(t2648,plain,
multiply(sFlat0,commutator(sFlat0,sFlat1)) = multiply(commutator(sFlat0,sFlat1),multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t2644]) ).
cnf(t261847,plain,
multiply(sFlat0,commutator(sFlat0,sFlat1)) = multiply(commutator(sFlat0,sFlat1),sFlat0),
inference(step,[status(thm)],[t2648,t375]) ).
cnf(t2655,plain,
multiply(commutator(sFlat0,sFlat1),sFlat0) = multiply(sFlat0,commutator(sFlat0,sFlat1)),
inference(orient,[status(thm)],[t261847]) ).
cnf(t262301,plain,
multiply(sFlat2,multiply(commutator(sFlat0,sFlat1),commutator(sFlat1,sFlat0))) = multiply(sFlat1,multiply(sFlat0,commutator(sFlat0,sFlat1))),
inference(step,[status(thm)],[t262300,t2655]) ).
cnf(t262302,plain,
multiply(sFlat2,multiply(commutator(sFlat0,sFlat1),commutator(sFlat1,sFlat0))) = multiply(sFlat0,sFlat1),
inference(step,[status(thm)],[t262301,t14]) ).
cnf(t262303,plain,
multiply(sFlat2,multiply(commutator(sFlat0,sFlat1),commutator(sFlat1,sFlat0))) = sFlat2,
inference(step,[status(thm)],[t262302,t51]) ).
cnf(t14694,plain,
multiply(sFlat2,multiply(commutator(sFlat0,sFlat1),commutator(sFlat1,sFlat0))) = sFlat2,
inference(orient,[status(thm)],[t262303]) ).
cnf(t14704,plain,
commutator(sFlat2,sFlat2) = ifeq(sFlat2,sFlat2,multiply(commutator(sFlat0,sFlat1),commutator(sFlat1,sFlat0)),commutator(sFlat2,sFlat2)),
inference(cp,[status(thm)],[t1284,t14694]) ).
cnf(t262304,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat2,sFlat2,multiply(commutator(sFlat0,sFlat1),commutator(sFlat1,sFlat0)),commutator(sFlat2,sFlat2)),
inference(step,[status(thm)],[t14704,t4526]) ).
cnf(t262305,plain,
commutator(sFlat0,sFlat0) = multiply(commutator(sFlat0,sFlat1),commutator(sFlat1,sFlat0)),
inference(step,[status(thm)],[t262304,t11]) ).
cnf(t14730,plain,
multiply(commutator(sFlat0,sFlat1),commutator(sFlat1,sFlat0)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262305]) ).
cnf(t263607,plain,
multiply(commutator(sFlat0,sFlat0),commutator(sFlat1,sFlat0)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t14730,t57320]) ).
cnf(t263608,plain,
commutator(sFlat1,sFlat0) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t263607,t4930]) ).
cnf(t57347,plain,
commutator(sFlat1,sFlat0) = commutator(sFlat0,sFlat0),
inference(rw,[status(thm)],[t263608]) ).
cnf(t57537,plain,
commutator(sFlat1,sFlat0) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t57347]) ).
cnf(t57547,plain,
commutator(sFlat1,commutator(sFlat0,X1)) = commutator(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t39,t57537]) ).
cnf(t263787,plain,
commutator(sFlat1,commutator(sFlat0,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t57547,t39]) ).
cnf(t263788,plain,
commutator(sFlat1,commutator(sFlat0,X1)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t263787,t6552]) ).
cnf(t58484,plain,
commutator(sFlat1,commutator(sFlat0,X1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263788]) ).
cnf(t58493,plain,
multiply(sFlat1,commutator(sFlat0,X1)) = multiply(commutator(sFlat0,X1),multiply(sFlat1,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t58484]) ).
cnf(t263823,plain,
multiply(sFlat1,commutator(sFlat0,X1)) = multiply(commutator(sFlat0,X1),sFlat1),
inference(step,[status(thm)],[t58493,t2395]) ).
cnf(t58935,plain,
multiply(commutator(sFlat0,X1),sFlat1) = multiply(sFlat1,commutator(sFlat0,X1)),
inference(orient,[status(thm)],[t263823]) ).
cnf(t58968,plain,
multiply(sFlat0,multiply(X1,sFlat1)) = multiply(X1,multiply(sFlat0,multiply(sFlat1,commutator(sFlat0,X1)))),
inference(cp,[status(thm)],[t252,t58935]) ).
cnf(t263880,plain,
multiply(sFlat0,multiply(X1,sFlat1)) = multiply(X1,multiply(sFlat2,commutator(sFlat0,X1))),
inference(step,[status(thm)],[t58968,t88]) ).
cnf(t61232,plain,
multiply(X1,multiply(sFlat2,commutator(sFlat0,X1))) = multiply(sFlat0,multiply(X1,sFlat1)),
inference(orient,[status(thm)],[t263880]) ).
cnf(t61319,plain,
multiply(sFlat2,commutator(sFlat0,commutator(b,a))) = multiply(commutator(a,b),multiply(sFlat0,multiply(commutator(b,a),sFlat1))),
inference(cp,[status(thm)],[t15388,t61232]) ).
cnf(t263881,plain,
multiply(sFlat2,commutator(sFlat0,commutator(sFlat3,a))) = multiply(commutator(a,b),multiply(sFlat0,multiply(commutator(b,a),sFlat1))),
inference(step,[status(thm)],[t61319,t57261]) ).
cnf(t47777,plain,
commutator(X1,X1) = ifeq(X1,X1,commutator(sFlat0,commutator(a,X1)),commutator(X2,X2)),
inference(cp,[status(thm)],[t18015,t47729]) ).
cnf(t263363,plain,
commutator(X1,X1) = commutator(sFlat0,commutator(a,X1)),
inference(step,[status(thm)],[t47777,t11]) ).
cnf(t48235,plain,
commutator(X1,X1) = commutator(sFlat0,commutator(a,X1)),
inference(orient,[status(thm)],[t263363]) ).
cnf(t48237,plain,
commutator(sFlat0,commutator(a,X1)) = commutator(sFlat0,a),
inference(cp,[status(thm)],[t48235,t47437]) ).
cnf(t263364,plain,
commutator(sFlat0,commutator(a,X1)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t48237,t47437]) ).
cnf(t48354,plain,
commutator(sFlat0,commutator(a,X1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263364]) ).
cnf(t48380,plain,
multiply(sFlat0,multiply(commutator(a,X1),X2)) = multiply(commutator(a,X1),multiply(sFlat0,multiply(commutator(sFlat0,sFlat0),X2))),
inference(cp,[status(thm)],[t252,t48354]) ).
cnf(t263374,plain,
multiply(sFlat0,multiply(commutator(a,X1),X2)) = multiply(commutator(a,X1),multiply(sFlat0,X2)),
inference(step,[status(thm)],[t48380,t443]) ).
cnf(t48557,plain,
multiply(commutator(a,X1),multiply(sFlat0,X2)) = multiply(sFlat0,multiply(commutator(a,X1),X2)),
inference(orient,[status(thm)],[t263374]) ).
cnf(t263882,plain,
multiply(sFlat2,commutator(sFlat0,commutator(sFlat3,a))) = multiply(sFlat0,multiply(commutator(a,b),multiply(commutator(b,a),sFlat1))),
inference(step,[status(thm)],[t263881,t48557]) ).
cnf(t263883,plain,
multiply(sFlat2,commutator(sFlat0,commutator(sFlat3,a))) = multiply(sFlat0,sFlat1),
inference(step,[status(thm)],[t263882,t15388]) ).
cnf(t263884,plain,
multiply(sFlat2,commutator(sFlat0,commutator(sFlat3,a))) = sFlat2,
inference(step,[status(thm)],[t263883,t51]) ).
cnf(t61350,plain,
multiply(sFlat2,commutator(sFlat0,commutator(sFlat3,a))) = sFlat2,
inference(orient,[status(thm)],[t263884]) ).
cnf(t61359,plain,
commutator(sFlat2,sFlat2) = ifeq(sFlat2,sFlat2,commutator(sFlat0,commutator(sFlat3,a)),commutator(X1,X1)),
inference(cp,[status(thm)],[t18015,t61350]) ).
cnf(t263885,plain,
commutator(sFlat0,a) = ifeq(sFlat2,sFlat2,commutator(sFlat0,commutator(sFlat3,a)),commutator(X1,X1)),
inference(step,[status(thm)],[t61359,t47437]) ).
cnf(t263886,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat2,sFlat2,commutator(sFlat0,commutator(sFlat3,a)),commutator(X1,X1)),
inference(step,[status(thm)],[t263885,t47437]) ).
cnf(t263887,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat0,commutator(sFlat3,a)),
inference(step,[status(thm)],[t263886,t11]) ).
cnf(t61393,plain,
commutator(sFlat0,commutator(sFlat3,a)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263887]) ).
cnf(t61394,plain,
commutator(sFlat0,commutator(commutator(sFlat3,a),X1)) = commutator(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t39,t61393]) ).
cnf(t263904,plain,
commutator(sFlat0,commutator(sFlat3,commutator(a,X1))) = commutator(commutator(sFlat0,sFlat0),X1),
inference(step,[status(thm)],[t61394,t39]) ).
cnf(t263905,plain,
commutator(sFlat0,commutator(sFlat3,commutator(a,X1))) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t263904,t39]) ).
cnf(t263906,plain,
commutator(sFlat0,commutator(sFlat3,commutator(a,X1))) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t263905,t6552]) ).
cnf(t61895,plain,
commutator(sFlat0,commutator(sFlat3,commutator(a,X1))) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263906]) ).
cnf(t61917,plain,
multiply(commutator(sFlat0,sFlat3),commutator(a,X1)) = multiply(commutator(a,X1),multiply(commutator(sFlat0,sFlat3),commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t9628,t61895]) ).
cnf(t264134,plain,
multiply(commutator(sFlat0,sFlat3),commutator(a,X1)) = multiply(commutator(a,X1),commutator(sFlat0,sFlat3)),
inference(step,[status(thm)],[t61917,t4967]) ).
cnf(t72711,plain,
multiply(commutator(a,X1),commutator(sFlat0,sFlat3)) = multiply(commutator(sFlat0,sFlat3),commutator(a,X1)),
inference(orient,[status(thm)],[t264134]) ).
cnf(t265004,plain,
multiply(sFlat2,multiply(commutator(sFlat0,sFlat3),commutator(a,b))) = multiply(commutator(a,b),sFlat4),
inference(step,[status(thm)],[t71145,t72711]) ).
cnf(t58912,plain,
multiply(sFlat2,multiply(commutator(sFlat0,sFlat3),X1)) = multiply(sFlat4,X1),
inference(cp,[status(thm)],[t19,t58891]) ).
cnf(t59481,plain,
multiply(sFlat2,multiply(commutator(sFlat0,sFlat3),X1)) = multiply(sFlat4,X1),
inference(orient,[status(thm)],[t58912]) ).
cnf(t265005,plain,
multiply(sFlat4,commutator(a,b)) = multiply(commutator(a,b),sFlat4),
inference(step,[status(thm)],[t265004,t59481]) ).
cnf(t103922,plain,
multiply(commutator(a,b),sFlat4) = multiply(sFlat4,commutator(a,b)),
inference(orient,[status(thm)],[t265005]) ).
cnf(t103931,plain,
multiply(commutator(a,b),multiply(sFlat4,X1)) = multiply(multiply(sFlat4,commutator(a,b)),X1),
inference(cp,[status(thm)],[t19,t103922]) ).
cnf(t265006,plain,
multiply(commutator(a,b),multiply(sFlat4,X1)) = multiply(sFlat4,multiply(commutator(a,b),X1)),
inference(step,[status(thm)],[t103931,t19]) ).
cnf(t103955,plain,
multiply(commutator(a,b),multiply(sFlat4,X1)) = multiply(sFlat4,multiply(commutator(a,b),X1)),
inference(orient,[status(thm)],[t265006]) ).
cnf(t263430,plain,
multiply(sFlat3,sFlat4) = multiply(sFlat0,multiply(sFlat3,sFlat1)),
inference(step,[status(thm)],[t10967,t52618]) ).
cnf(t52655,plain,
multiply(sFlat3,sFlat4) = multiply(sFlat0,multiply(sFlat3,sFlat1)),
inference(rw,[status(thm)],[t263430]) ).
cnf(t52773,plain,
multiply(sFlat0,multiply(sFlat3,sFlat1)) = multiply(sFlat3,sFlat4),
inference(orient,[status(thm)],[t52655]) ).
cnf(t52795,plain,
multiply(sFlat0,multiply(multiply(sFlat3,sFlat1),X1)) = multiply(multiply(sFlat3,sFlat4),X1),
inference(cp,[status(thm)],[t19,t52773]) ).
cnf(t263518,plain,
multiply(sFlat0,multiply(sFlat3,multiply(sFlat1,X1))) = multiply(multiply(sFlat3,sFlat4),X1),
inference(step,[status(thm)],[t52795,t19]) ).
cnf(t263519,plain,
multiply(sFlat0,multiply(sFlat3,multiply(sFlat1,X1))) = multiply(sFlat3,multiply(sFlat4,X1)),
inference(step,[status(thm)],[t263518,t19]) ).
cnf(t54440,plain,
multiply(sFlat0,multiply(sFlat3,multiply(sFlat1,X1))) = multiply(sFlat3,multiply(sFlat4,X1)),
inference(orient,[status(thm)],[t263519]) ).
cnf(t98,plain,
multiply(sFlat3,multiply(commutator(b,a),X1)) = multiply(multiply(b,a),X1),
inference(cp,[status(thm)],[t19,t95]) ).
cnf(t261653,plain,
multiply(sFlat3,multiply(commutator(b,a),X1)) = multiply(b,multiply(a,X1)),
inference(step,[status(thm)],[t98,t19]) ).
cnf(t175,plain,
multiply(sFlat3,multiply(commutator(b,a),X1)) = multiply(b,multiply(a,X1)),
inference(orient,[status(thm)],[t261653]) ).
cnf(t44604,plain,
multiply(b,multiply(a,sFlat1)) = multiply(sFlat3,multiply(sFlat1,commutator(b,a))),
inference(cp,[status(thm)],[t175,t44581]) ).
cnf(t44739,plain,
multiply(sFlat3,multiply(sFlat1,commutator(b,a))) = multiply(b,multiply(a,sFlat1)),
inference(orient,[status(thm)],[t44604]) ).
cnf(t54461,plain,
multiply(sFlat3,multiply(sFlat4,commutator(b,a))) = multiply(sFlat0,multiply(b,multiply(a,sFlat1))),
inference(cp,[status(thm)],[t54440,t44739]) ).
cnf(t3882,plain,
multiply(sFlat3,multiply(sFlat4,commutator(b,a))) = multiply(sFlat4,multiply(b,a)),
inference(cp,[status(thm)],[t3875,t95]) ).
cnf(t6957,plain,
multiply(sFlat3,multiply(sFlat4,commutator(b,a))) = multiply(sFlat4,multiply(b,a)),
inference(orient,[status(thm)],[t3882]) ).
cnf(t263577,plain,
multiply(sFlat4,multiply(b,a)) = multiply(sFlat0,multiply(b,multiply(a,sFlat1))),
inference(step,[status(thm)],[t54461,t6957]) ).
cnf(t56521,plain,
multiply(sFlat0,multiply(b,multiply(a,sFlat1))) = multiply(sFlat4,multiply(b,a)),
inference(orient,[status(thm)],[t263577]) ).
cnf(t56539,plain,
multiply(sFlat0,multiply(multiply(b,multiply(a,sFlat1)),X1)) = multiply(multiply(sFlat4,multiply(b,a)),X1),
inference(cp,[status(thm)],[t19,t56521]) ).
cnf(t268362,plain,
multiply(sFlat0,multiply(b,multiply(multiply(a,sFlat1),X1))) = multiply(multiply(sFlat4,multiply(b,a)),X1),
inference(step,[status(thm)],[t56539,t19]) ).
cnf(t268363,plain,
multiply(sFlat0,multiply(b,multiply(a,multiply(sFlat1,X1)))) = multiply(multiply(sFlat4,multiply(b,a)),X1),
inference(step,[status(thm)],[t268362,t19]) ).
cnf(t268364,plain,
multiply(sFlat0,multiply(b,multiply(a,multiply(sFlat1,X1)))) = multiply(sFlat4,multiply(multiply(b,a),X1)),
inference(step,[status(thm)],[t268363,t19]) ).
cnf(t268365,plain,
multiply(sFlat0,multiply(b,multiply(a,multiply(sFlat1,X1)))) = multiply(sFlat4,multiply(b,multiply(a,X1))),
inference(step,[status(thm)],[t268364,t19]) ).
cnf(t257144,plain,
multiply(sFlat0,multiply(b,multiply(a,multiply(sFlat1,X1)))) = multiply(sFlat4,multiply(b,multiply(a,X1))),
inference(orient,[status(thm)],[t268365]) ).
cnf(t77,plain,
multiply(c,multiply(multiply(a,sFlat0),X1)) = multiply(multiply(a,c),X1),
inference(cp,[status(thm)],[t19,t74]) ).
cnf(t261649,plain,
multiply(c,multiply(a,multiply(sFlat0,X1))) = multiply(multiply(a,c),X1),
inference(step,[status(thm)],[t77,t19]) ).
cnf(t261650,plain,
multiply(c,multiply(a,multiply(sFlat0,X1))) = multiply(a,multiply(c,X1)),
inference(step,[status(thm)],[t261649,t19]) ).
cnf(t143,plain,
multiply(c,multiply(a,multiply(sFlat0,X1))) = multiply(a,multiply(c,X1)),
inference(orient,[status(thm)],[t261650]) ).
cnf(t146,plain,
multiply(a,multiply(c,multiply(sFlat1,X1))) = multiply(c,multiply(a,multiply(sFlat2,X1))),
inference(cp,[status(thm)],[t143,t88]) ).
cnf(t228,plain,
multiply(a,multiply(c,multiply(sFlat1,X1))) = multiply(c,multiply(a,multiply(sFlat2,X1))),
inference(orient,[status(thm)],[t146]) ).
cnf(t229,plain,
multiply(c,multiply(a,multiply(sFlat2,commutator(sFlat1,c)))) = multiply(a,multiply(sFlat1,c)),
inference(cp,[status(thm)],[t228,t14]) ).
cnf(t1423,plain,
multiply(c,multiply(a,multiply(sFlat2,commutator(sFlat1,c)))) = multiply(a,multiply(sFlat1,c)),
inference(orient,[status(thm)],[t229]) ).
cnf(t262001,plain,
multiply(c,multiply(a,multiply(sFlat2,commutator(sFlat0,sFlat0)))) = multiply(a,multiply(sFlat1,c)),
inference(step,[status(thm)],[t1423,t4184]) ).
cnf(t262002,plain,
multiply(c,multiply(a,sFlat2)) = multiply(a,multiply(sFlat1,c)),
inference(step,[status(thm)],[t262001,t2413]) ).
cnf(t4192,plain,
multiply(c,multiply(a,sFlat2)) = multiply(a,multiply(sFlat1,c)),
inference(rw,[status(thm)],[t262002]) ).
cnf(t5118,plain,
multiply(a,multiply(sFlat1,c)) = multiply(c,multiply(a,sFlat2)),
inference(orient,[status(thm)],[t4192]) ).
cnf(t9696,plain,
multiply(commutator(X1,sFlat3),c) = multiply(c,multiply(commutator(X1,sFlat3),commutator(X1,sFlat4))),
inference(cp,[status(thm)],[t9628,t41]) ).
cnf(t25586,plain,
multiply(c,multiply(commutator(X1,sFlat3),commutator(X1,sFlat4))) = multiply(commutator(X1,sFlat3),c),
inference(orient,[status(thm)],[t9696]) ).
cnf(t3442,plain,
multiply(sFlat1,multiply(X1,sFlat0)) = multiply(X1,multiply(sFlat2,commutator(sFlat1,multiply(X1,sFlat0)))),
inference(cp,[status(thm)],[t3424,t88]) ).
cnf(t20168,plain,
multiply(X1,multiply(sFlat2,commutator(sFlat1,multiply(X1,sFlat0)))) = multiply(sFlat1,multiply(X1,sFlat0)),
inference(orient,[status(thm)],[t3442]) ).
cnf(t16,plain,
multiply(X1,commutator(X1,X2)) = ifeq(multiply(X2,X3),multiply(X1,X2),X3,multiply(X1,commutator(X1,X2))),
inference(cp,[status(thm)],[t12,t14]) ).
cnf(t894,plain,
ifeq(multiply(X1,X2),multiply(X3,X1),X2,multiply(X3,commutator(X3,X1))) = multiply(X3,commutator(X3,X1)),
inference(orient,[status(thm)],[t16]) ).
cnf(t36873,plain,
sFlat2 = ifeq(multiply(sFlat4,X1),multiply(sFlat2,sFlat4),X1,sFlat2),
inference(cp,[status(thm)],[t12,t36869]) ).
cnf(t38824,plain,
ifeq(multiply(sFlat4,X1),multiply(sFlat2,sFlat4),X1,sFlat2) = sFlat2,
inference(orient,[status(thm)],[t36873]) ).
cnf(t57749,plain,
multiply(sFlat0,multiply(X1,sFlat1)) = multiply(X1,multiply(sFlat2,commutator(sFlat0,multiply(X1,sFlat1)))),
inference(cp,[status(thm)],[t3424,t57653]) ).
cnf(t91343,plain,
multiply(X1,multiply(sFlat2,commutator(sFlat0,multiply(X1,sFlat1)))) = multiply(sFlat0,multiply(X1,sFlat1)),
inference(orient,[status(thm)],[t57749]) ).
cnf(t91424,plain,
sFlat2 = ifeq(multiply(sFlat0,multiply(sFlat4,sFlat1)),multiply(sFlat2,sFlat4),multiply(sFlat2,commutator(sFlat0,multiply(sFlat4,sFlat1))),sFlat2),
inference(cp,[status(thm)],[t38824,t91343]) ).
cnf(t264670,plain,
sFlat2 = ifeq(multiply(sFlat0,multiply(sFlat1,sFlat4)),multiply(sFlat2,sFlat4),multiply(sFlat2,commutator(sFlat0,multiply(sFlat4,sFlat1))),sFlat2),
inference(step,[status(thm)],[t91424,t36802]) ).
cnf(t264671,plain,
sFlat2 = ifeq(multiply(sFlat2,sFlat4),multiply(sFlat2,sFlat4),multiply(sFlat2,commutator(sFlat0,multiply(sFlat4,sFlat1))),sFlat2),
inference(step,[status(thm)],[t264670,t88]) ).
cnf(t264672,plain,
sFlat2 = multiply(sFlat2,commutator(sFlat0,multiply(sFlat4,sFlat1))),
inference(step,[status(thm)],[t264671,t11]) ).
cnf(t264673,plain,
sFlat2 = multiply(sFlat2,commutator(sFlat0,multiply(sFlat1,sFlat4))),
inference(step,[status(thm)],[t264672,t36802]) ).
cnf(t91601,plain,
multiply(sFlat2,commutator(sFlat0,multiply(sFlat1,sFlat4))) = sFlat2,
inference(orient,[status(thm)],[t264673]) ).
cnf(t91624,plain,
commutator(sFlat2,sFlat2) = ifeq(sFlat2,sFlat2,commutator(sFlat0,multiply(sFlat1,sFlat4)),commutator(X1,X1)),
inference(cp,[status(thm)],[t18015,t91601]) ).
cnf(t264674,plain,
commutator(sFlat0,a) = ifeq(sFlat2,sFlat2,commutator(sFlat0,multiply(sFlat1,sFlat4)),commutator(X1,X1)),
inference(step,[status(thm)],[t91624,t47437]) ).
cnf(t264675,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat2,sFlat2,commutator(sFlat0,multiply(sFlat1,sFlat4)),commutator(X1,X1)),
inference(step,[status(thm)],[t264674,t47437]) ).
cnf(t264676,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat0,multiply(sFlat1,sFlat4)),
inference(step,[status(thm)],[t264675,t11]) ).
cnf(t91663,plain,
commutator(sFlat0,multiply(sFlat1,sFlat4)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t264676]) ).
cnf(t91667,plain,
multiply(sFlat0,commutator(sFlat0,multiply(sFlat1,sFlat4))) = ifeq(multiply(multiply(sFlat1,sFlat4),X1),multiply(sFlat0,multiply(sFlat1,sFlat4)),X1,multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t894,t91663]) ).
cnf(t265776,plain,
multiply(sFlat0,commutator(sFlat0,sFlat0)) = ifeq(multiply(multiply(sFlat1,sFlat4),X1),multiply(sFlat0,multiply(sFlat1,sFlat4)),X1,multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(step,[status(thm)],[t91667,t91663]) ).
cnf(t265777,plain,
sFlat0 = ifeq(multiply(multiply(sFlat1,sFlat4),X1),multiply(sFlat0,multiply(sFlat1,sFlat4)),X1,multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(step,[status(thm)],[t265776,t4967]) ).
cnf(t265778,plain,
sFlat0 = ifeq(multiply(sFlat1,multiply(sFlat4,X1)),multiply(sFlat0,multiply(sFlat1,sFlat4)),X1,multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(step,[status(thm)],[t265777,t19]) ).
cnf(t265779,plain,
sFlat0 = ifeq(multiply(sFlat1,multiply(sFlat4,X1)),multiply(sFlat2,sFlat4),X1,multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(step,[status(thm)],[t265778,t88]) ).
cnf(t265780,plain,
sFlat0 = ifeq(multiply(sFlat1,multiply(sFlat4,X1)),multiply(sFlat2,sFlat4),X1,sFlat0),
inference(step,[status(thm)],[t265779,t4967]) ).
cnf(t137109,plain,
ifeq(multiply(sFlat1,multiply(sFlat4,X1)),multiply(sFlat2,sFlat4),X1,sFlat0) = sFlat0,
inference(orient,[status(thm)],[t265780]) ).
cnf(t73,plain,
multiply(a,commutator(c,X1)) = multiply(commutator(c,X1),multiply(a,commutator(sFlat0,X1))),
inference(cp,[status(thm)],[t14,t72]) ).
cnf(t302,plain,
multiply(commutator(c,X1),multiply(a,commutator(sFlat0,X1))) = multiply(a,commutator(c,X1)),
inference(orient,[status(thm)],[t73]) ).
cnf(t2997,plain,
a = multiply(a,commutator(sFlat3,sFlat3)),
inference(cp,[status(thm)],[t375,t2988]) ).
cnf(t3032,plain,
multiply(a,commutator(sFlat3,sFlat3)) = a,
inference(orient,[status(thm)],[t2997]) ).
cnf(t261896,plain,
multiply(a,commutator(sFlat0,sFlat0)) = a,
inference(step,[status(thm)],[t3032,t3317]) ).
cnf(t3354,plain,
multiply(a,commutator(sFlat0,sFlat0)) = a,
inference(rw,[status(thm)],[t261896]) ).
cnf(t3405,plain,
multiply(a,commutator(sFlat0,sFlat0)) = a,
inference(orient,[status(thm)],[t3354]) ).
cnf(t3421,plain,
multiply(a,commutator(c,sFlat0)) = multiply(commutator(c,sFlat0),a),
inference(cp,[status(thm)],[t302,t3405]) ).
cnf(t3814,plain,
multiply(commutator(c,sFlat0),a) = multiply(a,commutator(c,sFlat0)),
inference(orient,[status(thm)],[t3421]) ).
cnf(t3818,plain,
multiply(commutator(c,sFlat0),multiply(a,X1)) = multiply(multiply(a,commutator(c,sFlat0)),X1),
inference(cp,[status(thm)],[t19,t3814]) ).
cnf(t262189,plain,
multiply(commutator(c,sFlat0),multiply(a,X1)) = multiply(a,multiply(commutator(c,sFlat0),X1)),
inference(step,[status(thm)],[t3818,t19]) ).
cnf(t9451,plain,
multiply(commutator(c,sFlat0),multiply(a,X1)) = multiply(a,multiply(commutator(c,sFlat0),X1)),
inference(orient,[status(thm)],[t262189]) ).
cnf(t9463,plain,
multiply(a,multiply(commutator(c,sFlat0),b)) = multiply(commutator(c,sFlat0),sFlat3),
inference(cp,[status(thm)],[t9451,t33]) ).
cnf(t9498,plain,
multiply(a,multiply(commutator(c,sFlat0),b)) = multiply(commutator(c,sFlat0),sFlat3),
inference(orient,[status(thm)],[t9463]) ).
cnf(t81,plain,
multiply(b,commutator(c,X1)) = multiply(commutator(c,X1),multiply(b,commutator(sFlat1,X1))),
inference(cp,[status(thm)],[t14,t80]) ).
cnf(t1362,plain,
multiply(commutator(c,X1),multiply(b,commutator(sFlat1,X1))) = multiply(b,commutator(c,X1)),
inference(orient,[status(thm)],[t81]) ).
cnf(t57554,plain,
multiply(b,commutator(c,sFlat0)) = multiply(commutator(c,sFlat0),multiply(b,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t1362,t57537]) ).
cnf(t263790,plain,
multiply(b,commutator(c,sFlat0)) = multiply(commutator(c,sFlat0),b),
inference(step,[status(thm)],[t57554,t3595]) ).
cnf(t58544,plain,
multiply(commutator(c,sFlat0),b) = multiply(b,commutator(c,sFlat0)),
inference(orient,[status(thm)],[t263790]) ).
cnf(t263791,plain,
multiply(a,multiply(b,commutator(c,sFlat0))) = multiply(commutator(c,sFlat0),sFlat3),
inference(step,[status(thm)],[t9498,t58544]) ).
cnf(t263792,plain,
multiply(sFlat3,commutator(c,sFlat0)) = multiply(commutator(c,sFlat0),sFlat3),
inference(step,[status(thm)],[t263791,t57]) ).
cnf(t58578,plain,
multiply(sFlat3,commutator(c,sFlat0)) = multiply(commutator(c,sFlat0),sFlat3),
inference(rw,[status(thm)],[t263792]) ).
cnf(t58974,plain,
multiply(commutator(c,sFlat0),sFlat3) = multiply(sFlat3,commutator(c,sFlat0)),
inference(orient,[status(thm)],[t58578]) ).
cnf(t58982,plain,
multiply(commutator(c,sFlat0),multiply(sFlat3,X1)) = multiply(multiply(sFlat3,commutator(c,sFlat0)),X1),
inference(cp,[status(thm)],[t19,t58974]) ).
cnf(t264061,plain,
multiply(commutator(c,sFlat0),multiply(sFlat3,X1)) = multiply(sFlat3,multiply(commutator(c,sFlat0),X1)),
inference(step,[status(thm)],[t58982,t19]) ).
cnf(t70021,plain,
multiply(commutator(c,sFlat0),multiply(sFlat3,X1)) = multiply(sFlat3,multiply(commutator(c,sFlat0),X1)),
inference(orient,[status(thm)],[t264061]) ).
cnf(t6188,plain,
multiply(sFlat3,commutator(sFlat3,commutator(c,X1))) = multiply(commutator(sFlat4,X1),sFlat3),
inference(cp,[status(thm)],[t6183,t64]) ).
cnf(t262092,plain,
multiply(sFlat3,commutator(sFlat4,X1)) = multiply(commutator(sFlat4,X1),sFlat3),
inference(step,[status(thm)],[t6188,t64]) ).
cnf(t6312,plain,
multiply(commutator(sFlat4,X1),sFlat3) = multiply(sFlat3,commutator(sFlat4,X1)),
inference(orient,[status(thm)],[t262092]) ).
cnf(t6329,plain,
multiply(sFlat4,multiply(X1,sFlat3)) = multiply(X1,multiply(sFlat4,multiply(sFlat3,commutator(sFlat4,X1)))),
inference(cp,[status(thm)],[t252,t6312]) ).
cnf(t262489,plain,
multiply(sFlat4,multiply(X1,sFlat3)) = multiply(X1,multiply(sFlat3,multiply(sFlat4,commutator(sFlat4,X1)))),
inference(step,[status(thm)],[t6329,t3875]) ).
cnf(t22262,plain,
multiply(X1,multiply(sFlat3,multiply(sFlat4,commutator(sFlat4,X1)))) = multiply(sFlat4,multiply(X1,sFlat3)),
inference(orient,[status(thm)],[t262489]) ).
cnf(t4202,plain,
commutator(sFlat4,commutator(c,X1)) = commutator(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t39,t4201]) ).
cnf(t262033,plain,
commutator(sFlat4,commutator(c,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t4202,t39]) ).
cnf(t5198,plain,
commutator(sFlat4,commutator(c,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(orient,[status(thm)],[t262033]) ).
cnf(t6119,plain,
commutator(sFlat0,commutator(sFlat0,commutator(sFlat1,X1))) = commutator(sFlat1,commutator(X1,X1)),
inference(cp,[status(thm)],[t2442,t6066]) ).
cnf(t262059,plain,
commutator(sFlat0,commutator(sFlat0,X1)) = commutator(sFlat1,commutator(X1,X1)),
inference(step,[status(thm)],[t6119,t2848]) ).
cnf(t262060,plain,
commutator(sFlat0,commutator(sFlat0,X1)) = commutator(sFlat1,sFlat1),
inference(step,[status(thm)],[t262059,t5915]) ).
cnf(t262061,plain,
commutator(sFlat0,commutator(sFlat0,X1)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t262060,t4526]) ).
cnf(t6150,plain,
commutator(sFlat0,commutator(sFlat0,X1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262061]) ).
cnf(t262082,plain,
commutator(sFlat4,commutator(c,X1)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t5198,t6150]) ).
cnf(t6171,plain,
commutator(sFlat4,commutator(c,X1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262082]) ).
cnf(t22272,plain,
multiply(sFlat4,multiply(commutator(c,X1),sFlat3)) = multiply(commutator(c,X1),multiply(sFlat3,multiply(sFlat4,commutator(sFlat0,sFlat0)))),
inference(cp,[status(thm)],[t22262,t6171]) ).
cnf(t262490,plain,
multiply(sFlat4,multiply(commutator(c,X1),sFlat3)) = multiply(commutator(c,X1),multiply(sFlat3,sFlat4)),
inference(step,[status(thm)],[t22272,t4258]) ).
cnf(t22442,plain,
multiply(commutator(c,X1),multiply(sFlat3,sFlat4)) = multiply(sFlat4,multiply(commutator(c,X1),sFlat3)),
inference(orient,[status(thm)],[t262490]) ).
cnf(t70023,plain,
multiply(sFlat3,multiply(commutator(c,sFlat0),sFlat4)) = multiply(sFlat4,multiply(commutator(c,sFlat0),sFlat3)),
inference(cp,[status(thm)],[t70021,t22442]) ).
cnf(t264240,plain,
multiply(sFlat3,multiply(commutator(c,sFlat0),sFlat4)) = multiply(sFlat4,multiply(sFlat3,commutator(c,sFlat0))),
inference(step,[status(thm)],[t70023,t58974]) ).
cnf(t264241,plain,
multiply(sFlat3,multiply(commutator(c,sFlat0),sFlat4)) = multiply(sFlat3,multiply(sFlat4,commutator(c,sFlat0))),
inference(step,[status(thm)],[t264240,t3875]) ).
cnf(t76684,plain,
multiply(sFlat3,multiply(commutator(c,sFlat0),sFlat4)) = multiply(sFlat3,multiply(sFlat4,commutator(c,sFlat0))),
inference(orient,[status(thm)],[t264241]) ).
cnf(t76715,plain,
multiply(commutator(c,sFlat0),sFlat4) = ifeq(multiply(sFlat3,c),multiply(c,multiply(sFlat3,multiply(sFlat4,commutator(c,sFlat0)))),sFlat4,multiply(commutator(c,sFlat0),sFlat4)),
inference(cp,[status(thm)],[t52469,t76684]) ).
cnf(t264242,plain,
multiply(commutator(c,sFlat0),sFlat4) = ifeq(multiply(sFlat3,c),multiply(sFlat3,multiply(c,commutator(c,sFlat0))),sFlat4,multiply(commutator(c,sFlat0),sFlat4)),
inference(step,[status(thm)],[t76715,t135]) ).
cnf(t18958,plain,
multiply(c,a) = multiply(c,multiply(a,commutator(c,sFlat0))),
inference(cp,[status(thm)],[t18876,t44]) ).
cnf(t19168,plain,
multiply(c,multiply(a,commutator(c,sFlat0))) = multiply(c,a),
inference(orient,[status(thm)],[t18958]) ).
cnf(t19191,plain,
multiply(c,multiply(multiply(a,commutator(c,sFlat0)),X1)) = multiply(multiply(c,a),X1),
inference(cp,[status(thm)],[t19,t19168]) ).
cnf(t262696,plain,
multiply(c,multiply(a,multiply(commutator(c,sFlat0),X1))) = multiply(multiply(c,a),X1),
inference(step,[status(thm)],[t19191,t19]) ).
cnf(t262697,plain,
multiply(c,multiply(a,multiply(commutator(c,sFlat0),X1))) = multiply(c,multiply(a,X1)),
inference(step,[status(thm)],[t262696,t19]) ).
cnf(t30057,plain,
multiply(c,multiply(a,multiply(commutator(c,sFlat0),X1))) = multiply(c,multiply(a,X1)),
inference(orient,[status(thm)],[t262697]) ).
cnf(t30070,plain,
multiply(c,multiply(a,multiply(b,commutator(sFlat1,sFlat0)))) = multiply(c,multiply(a,multiply(b,commutator(c,sFlat0)))),
inference(cp,[status(thm)],[t30057,t1362]) ).
cnf(t262699,plain,
multiply(c,multiply(sFlat3,commutator(sFlat1,sFlat0))) = multiply(c,multiply(a,multiply(b,commutator(c,sFlat0)))),
inference(step,[status(thm)],[t30070,t57]) ).
cnf(t262700,plain,
multiply(c,multiply(sFlat3,commutator(sFlat1,sFlat0))) = multiply(c,multiply(sFlat3,commutator(c,sFlat0))),
inference(step,[status(thm)],[t262699,t57]) ).
cnf(t30182,plain,
multiply(c,multiply(sFlat3,commutator(c,sFlat0))) = multiply(c,multiply(sFlat3,commutator(sFlat1,sFlat0))),
inference(orient,[status(thm)],[t262700]) ).
cnf(t30211,plain,
multiply(sFlat3,multiply(c,commutator(c,sFlat0))) = multiply(sFlat4,multiply(c,multiply(sFlat3,commutator(sFlat1,sFlat0)))),
inference(cp,[status(thm)],[t7708,t30182]) ).
cnf(t262701,plain,
multiply(sFlat3,multiply(c,commutator(c,sFlat0))) = multiply(sFlat3,multiply(c,commutator(sFlat1,sFlat0))),
inference(step,[status(thm)],[t30211,t7708]) ).
cnf(t30232,plain,
multiply(sFlat3,multiply(c,commutator(c,sFlat0))) = multiply(sFlat3,multiply(c,commutator(sFlat1,sFlat0))),
inference(orient,[status(thm)],[t262701]) ).
cnf(t263711,plain,
multiply(sFlat3,multiply(c,commutator(c,sFlat0))) = multiply(sFlat3,multiply(c,commutator(sFlat0,sFlat0))),
inference(step,[status(thm)],[t30232,t57537]) ).
cnf(t4155,plain,
c = multiply(c,commutator(sFlat0,sFlat0)),
inference(cp,[status(thm)],[t375,t4145]) ).
cnf(t4291,plain,
multiply(c,commutator(sFlat0,sFlat0)) = c,
inference(orient,[status(thm)],[t4155]) ).
cnf(t263712,plain,
multiply(sFlat3,multiply(c,commutator(c,sFlat0))) = multiply(sFlat3,c),
inference(step,[status(thm)],[t263711,t4291]) ).
cnf(t57540,plain,
multiply(sFlat3,multiply(c,commutator(c,sFlat0))) = multiply(sFlat3,c),
inference(orient,[status(thm)],[t263712]) ).
cnf(t264243,plain,
multiply(commutator(c,sFlat0),sFlat4) = ifeq(multiply(sFlat3,c),multiply(sFlat3,c),sFlat4,multiply(commutator(c,sFlat0),sFlat4)),
inference(step,[status(thm)],[t264242,t57540]) ).
cnf(t264244,plain,
multiply(commutator(c,sFlat0),sFlat4) = sFlat4,
inference(step,[status(thm)],[t264243,t11]) ).
cnf(t76742,plain,
multiply(commutator(c,sFlat0),sFlat4) = sFlat4,
inference(orient,[status(thm)],[t264244]) ).
cnf(t76747,plain,
commutator(X1,X1) = ifeq(sFlat4,sFlat4,commutator(c,sFlat0),commutator(X1,X1)),
inference(cp,[status(thm)],[t18301,t76742]) ).
cnf(t264250,plain,
commutator(X1,X1) = commutator(c,sFlat0),
inference(step,[status(thm)],[t76747,t11]) ).
cnf(t76784,plain,
commutator(X1,X1) = commutator(c,sFlat0),
inference(orient,[status(thm)],[t264250]) ).
cnf(t76851,plain,
commutator(sFlat4,c) = commutator(sFlat3,commutator(c,sFlat0)),
inference(cp,[status(thm)],[t64,t76784]) ).
cnf(t264251,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat3,commutator(c,sFlat0)),
inference(step,[status(thm)],[t76851,t4201]) ).
cnf(t264252,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat4,sFlat0),
inference(step,[status(thm)],[t264251,t64]) ).
cnf(t77016,plain,
commutator(sFlat4,sFlat0) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t264252]) ).
cnf(t77020,plain,
commutator(sFlat4,commutator(sFlat0,X1)) = commutator(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t39,t77016]) ).
cnf(t264253,plain,
commutator(sFlat4,commutator(sFlat0,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t77020,t39]) ).
cnf(t264254,plain,
commutator(sFlat4,commutator(sFlat0,X1)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t264253,t6552]) ).
cnf(t77034,plain,
commutator(sFlat4,commutator(sFlat0,X1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t264254]) ).
cnf(t77044,plain,
multiply(sFlat4,commutator(sFlat0,X1)) = multiply(commutator(sFlat0,X1),multiply(sFlat4,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t77034]) ).
cnf(t264255,plain,
multiply(sFlat4,commutator(sFlat0,X1)) = multiply(commutator(sFlat0,X1),sFlat4),
inference(step,[status(thm)],[t77044,t4258]) ).
cnf(t77067,plain,
multiply(commutator(sFlat0,X1),sFlat4) = multiply(sFlat4,commutator(sFlat0,X1)),
inference(orient,[status(thm)],[t264255]) ).
cnf(t77096,plain,
multiply(sFlat0,multiply(X1,sFlat4)) = multiply(X1,multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,X1)))),
inference(cp,[status(thm)],[t252,t77067]) ).
cnf(t106086,plain,
multiply(X1,multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,X1)))) = multiply(sFlat0,multiply(X1,sFlat4)),
inference(orient,[status(thm)],[t77096]) ).
cnf(t90,plain,
multiply(sFlat2,multiply(X1,commutator(X1,sFlat1))) = multiply(sFlat0,multiply(X1,sFlat1)),
inference(cp,[status(thm)],[t88,t14]) ).
cnf(t167,plain,
multiply(sFlat2,multiply(X1,commutator(X1,sFlat1))) = multiply(sFlat0,multiply(X1,sFlat1)),
inference(orient,[status(thm)],[t90]) ).
cnf(t57332,plain,
multiply(sFlat0,multiply(sFlat0,sFlat1)) = multiply(sFlat2,multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t167,t57320]) ).
cnf(t263695,plain,
multiply(sFlat0,sFlat2) = multiply(sFlat2,multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(step,[status(thm)],[t57332,t51]) ).
cnf(t263696,plain,
multiply(sFlat0,sFlat2) = multiply(sFlat2,sFlat0),
inference(step,[status(thm)],[t263695,t4967]) ).
cnf(t57492,plain,
multiply(sFlat2,sFlat0) = multiply(sFlat0,sFlat2),
inference(orient,[status(thm)],[t263696]) ).
cnf(t57513,plain,
multiply(sFlat2,multiply(sFlat0,X1)) = multiply(multiply(sFlat0,sFlat2),X1),
inference(cp,[status(thm)],[t19,t57492]) ).
cnf(t263785,plain,
multiply(sFlat2,multiply(sFlat0,X1)) = multiply(sFlat0,multiply(sFlat2,X1)),
inference(step,[status(thm)],[t57513,t19]) ).
cnf(t58378,plain,
multiply(sFlat2,multiply(sFlat0,X1)) = multiply(sFlat0,multiply(sFlat2,X1)),
inference(orient,[status(thm)],[t263785]) ).
cnf(t58384,plain,
multiply(sFlat0,multiply(sFlat2,multiply(commutator(sFlat0,sFlat2),X1))) = multiply(sFlat0,multiply(sFlat2,X1)),
inference(cp,[status(thm)],[t58378,t252]) ).
cnf(t94927,plain,
multiply(sFlat0,multiply(sFlat2,multiply(commutator(sFlat0,sFlat2),X1))) = multiply(sFlat0,multiply(sFlat2,X1)),
inference(orient,[status(thm)],[t58384]) ).
cnf(t58905,plain,
multiply(sFlat2,multiply(commutator(X1,sFlat2),commutator(sFlat0,sFlat3))) = multiply(commutator(X1,sFlat2),sFlat4),
inference(cp,[status(thm)],[t13712,t58891]) ).
cnf(t95799,plain,
multiply(sFlat2,multiply(commutator(X1,sFlat2),commutator(sFlat0,sFlat3))) = multiply(commutator(X1,sFlat2),sFlat4),
inference(orient,[status(thm)],[t58905]) ).
cnf(t95866,plain,
multiply(sFlat0,multiply(sFlat2,commutator(sFlat0,sFlat3))) = multiply(sFlat0,multiply(commutator(sFlat0,sFlat2),sFlat4)),
inference(cp,[status(thm)],[t94927,t95799]) ).
cnf(t264800,plain,
multiply(sFlat0,sFlat4) = multiply(sFlat0,multiply(commutator(sFlat0,sFlat2),sFlat4)),
inference(step,[status(thm)],[t95866,t58891]) ).
cnf(t264801,plain,
multiply(sFlat0,sFlat4) = multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,sFlat2))),
inference(step,[status(thm)],[t264800,t77067]) ).
cnf(t95906,plain,
multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,sFlat2))) = multiply(sFlat0,sFlat4),
inference(orient,[status(thm)],[t264801]) ).
cnf(t95928,plain,
multiply(sFlat0,multiply(multiply(sFlat4,commutator(sFlat0,sFlat2)),X1)) = multiply(multiply(sFlat0,sFlat4),X1),
inference(cp,[status(thm)],[t19,t95906]) ).
cnf(t265253,plain,
multiply(sFlat0,multiply(sFlat4,multiply(commutator(sFlat0,sFlat2),X1))) = multiply(multiply(sFlat0,sFlat4),X1),
inference(step,[status(thm)],[t95928,t19]) ).
cnf(t265254,plain,
multiply(sFlat0,multiply(sFlat4,multiply(commutator(sFlat0,sFlat2),X1))) = multiply(sFlat0,multiply(sFlat4,X1)),
inference(step,[status(thm)],[t265253,t19]) ).
cnf(t112589,plain,
multiply(sFlat0,multiply(sFlat4,multiply(commutator(sFlat0,sFlat2),X1))) = multiply(sFlat0,multiply(sFlat4,X1)),
inference(orient,[status(thm)],[t265254]) ).
cnf(t112594,plain,
multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,commutator(sFlat2,sFlat4)))) = multiply(sFlat0,multiply(commutator(sFlat0,sFlat2),sFlat4)),
inference(cp,[status(thm)],[t112589,t9628]) ).
cnf(t265259,plain,
multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,commutator(sFlat2,sFlat4)))) = multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,sFlat2))),
inference(step,[status(thm)],[t112594,t77067]) ).
cnf(t265260,plain,
multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,commutator(sFlat2,sFlat4)))) = multiply(sFlat0,sFlat4),
inference(step,[status(thm)],[t265259,t95906]) ).
cnf(t112738,plain,
multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,commutator(sFlat2,sFlat4)))) = multiply(sFlat0,sFlat4),
inference(orient,[status(thm)],[t265260]) ).
cnf(t112786,plain,
multiply(sFlat0,multiply(commutator(sFlat2,sFlat4),sFlat4)) = multiply(commutator(sFlat2,sFlat4),multiply(sFlat0,sFlat4)),
inference(cp,[status(thm)],[t106086,t112738]) ).
cnf(t58906,plain,
multiply(sFlat2,multiply(commutator(sFlat2,X1),commutator(sFlat0,sFlat3))) = multiply(commutator(sFlat2,X1),sFlat4),
inference(cp,[status(thm)],[t10164,t58891]) ).
cnf(t59483,plain,
multiply(sFlat4,commutator(sFlat0,commutator(sFlat3,sFlat2))) = multiply(commutator(sFlat0,sFlat3),sFlat2),
inference(cp,[status(thm)],[t59481,t9628]) ).
cnf(t263844,plain,
multiply(sFlat4,commutator(sFlat0,commutator(sFlat3,sFlat2))) = sFlat4,
inference(step,[status(thm)],[t59483,t52734]) ).
cnf(t59553,plain,
multiply(sFlat4,commutator(sFlat0,commutator(sFlat3,sFlat2))) = sFlat4,
inference(orient,[status(thm)],[t263844]) ).
cnf(t59564,plain,
commutator(sFlat4,sFlat4) = ifeq(sFlat4,sFlat4,commutator(sFlat0,commutator(sFlat3,sFlat2)),commutator(X1,X1)),
inference(cp,[status(thm)],[t18015,t59553]) ).
cnf(t263845,plain,
commutator(sFlat0,a) = ifeq(sFlat4,sFlat4,commutator(sFlat0,commutator(sFlat3,sFlat2)),commutator(X1,X1)),
inference(step,[status(thm)],[t59564,t47437]) ).
cnf(t263846,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat4,sFlat4,commutator(sFlat0,commutator(sFlat3,sFlat2)),commutator(X1,X1)),
inference(step,[status(thm)],[t263845,t47437]) ).
cnf(t263847,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat0,commutator(sFlat3,sFlat2)),
inference(step,[status(thm)],[t263846,t11]) ).
cnf(t59594,plain,
commutator(sFlat0,commutator(sFlat3,sFlat2)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263847]) ).
cnf(t59595,plain,
commutator(sFlat0,commutator(commutator(sFlat3,sFlat2),X1)) = commutator(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t39,t59594]) ).
cnf(t263889,plain,
commutator(sFlat0,commutator(sFlat3,commutator(sFlat2,X1))) = commutator(commutator(sFlat0,sFlat0),X1),
inference(step,[status(thm)],[t59595,t39]) ).
cnf(t263890,plain,
commutator(sFlat0,commutator(sFlat3,commutator(sFlat2,X1))) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t263889,t39]) ).
cnf(t263891,plain,
commutator(sFlat0,commutator(sFlat3,commutator(sFlat2,X1))) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t263890,t6552]) ).
cnf(t61447,plain,
commutator(sFlat0,commutator(sFlat3,commutator(sFlat2,X1))) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263891]) ).
cnf(t61476,plain,
multiply(commutator(sFlat0,sFlat3),commutator(sFlat2,X1)) = multiply(commutator(sFlat2,X1),multiply(commutator(sFlat0,sFlat3),commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t9628,t61447]) ).
cnf(t264112,plain,
multiply(commutator(sFlat0,sFlat3),commutator(sFlat2,X1)) = multiply(commutator(sFlat2,X1),commutator(sFlat0,sFlat3)),
inference(step,[status(thm)],[t61476,t4967]) ).
cnf(t71645,plain,
multiply(commutator(sFlat2,X1),commutator(sFlat0,sFlat3)) = multiply(commutator(sFlat0,sFlat3),commutator(sFlat2,X1)),
inference(orient,[status(thm)],[t264112]) ).
cnf(t264804,plain,
multiply(sFlat2,multiply(commutator(sFlat0,sFlat3),commutator(sFlat2,X1))) = multiply(commutator(sFlat2,X1),sFlat4),
inference(step,[status(thm)],[t58906,t71645]) ).
cnf(t264805,plain,
multiply(sFlat4,commutator(sFlat2,X1)) = multiply(commutator(sFlat2,X1),sFlat4),
inference(step,[status(thm)],[t264804,t59481]) ).
cnf(t96138,plain,
multiply(commutator(sFlat2,X1),sFlat4) = multiply(sFlat4,commutator(sFlat2,X1)),
inference(orient,[status(thm)],[t264805]) ).
cnf(t265261,plain,
multiply(sFlat0,multiply(sFlat4,commutator(sFlat2,sFlat4))) = multiply(commutator(sFlat2,sFlat4),multiply(sFlat0,sFlat4)),
inference(step,[status(thm)],[t112786,t96138]) ).
cnf(t96150,plain,
multiply(commutator(sFlat2,X1),multiply(sFlat4,X2)) = multiply(multiply(sFlat4,commutator(sFlat2,X1)),X2),
inference(cp,[status(thm)],[t19,t96138]) ).
cnf(t264806,plain,
multiply(commutator(sFlat2,X1),multiply(sFlat4,X2)) = multiply(sFlat4,multiply(commutator(sFlat2,X1),X2)),
inference(step,[status(thm)],[t96150,t19]) ).
cnf(t96175,plain,
multiply(commutator(sFlat2,X1),multiply(sFlat4,X2)) = multiply(sFlat4,multiply(commutator(sFlat2,X1),X2)),
inference(orient,[status(thm)],[t264806]) ).
cnf(t36780,plain,
multiply(sFlat0,sFlat4) = multiply(sFlat4,multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t36778]) ).
cnf(t262953,plain,
multiply(sFlat0,sFlat4) = multiply(sFlat4,sFlat0),
inference(step,[status(thm)],[t36780,t4967]) ).
cnf(t36836,plain,
multiply(sFlat4,sFlat0) = multiply(sFlat0,sFlat4),
inference(orient,[status(thm)],[t262953]) ).
cnf(t96214,plain,
multiply(sFlat4,multiply(commutator(sFlat2,X1),sFlat0)) = multiply(commutator(sFlat2,X1),multiply(sFlat0,sFlat4)),
inference(cp,[status(thm)],[t96175,t36836]) ).
cnf(t96284,plain,
multiply(commutator(sFlat2,X1),multiply(sFlat0,sFlat4)) = multiply(sFlat4,multiply(commutator(sFlat2,X1),sFlat0)),
inference(orient,[status(thm)],[t96214]) ).
cnf(t265262,plain,
multiply(sFlat0,multiply(sFlat4,commutator(sFlat2,sFlat4))) = multiply(sFlat4,multiply(commutator(sFlat2,sFlat4),sFlat0)),
inference(step,[status(thm)],[t265261,t96284]) ).
cnf(t112794,plain,
multiply(sFlat4,multiply(commutator(sFlat2,sFlat4),sFlat0)) = multiply(sFlat0,multiply(sFlat4,commutator(sFlat2,sFlat4))),
inference(orient,[status(thm)],[t265262]) ).
cnf(t137139,plain,
sFlat0 = ifeq(multiply(sFlat1,multiply(sFlat0,multiply(sFlat4,commutator(sFlat2,sFlat4)))),multiply(sFlat2,sFlat4),multiply(commutator(sFlat2,sFlat4),sFlat0),sFlat0),
inference(cp,[status(thm)],[t137109,t112794]) ).
cnf(t13891,plain,
multiply(sFlat0,multiply(commutator(X1,sFlat0),sFlat1)) = multiply(commutator(X1,sFlat0),sFlat2),
inference(cp,[status(thm)],[t13712,t51]) ).
cnf(t13956,plain,
multiply(sFlat0,multiply(commutator(X1,sFlat0),sFlat1)) = multiply(commutator(X1,sFlat0),sFlat2),
inference(orient,[status(thm)],[t13891]) ).
cnf(t13957,plain,
multiply(commutator(sFlat1,sFlat0),sFlat2) = multiply(sFlat0,multiply(sFlat1,commutator(sFlat1,sFlat0))),
inference(cp,[status(thm)],[t13956,t6183]) ).
cnf(t262287,plain,
multiply(commutator(sFlat1,sFlat0),sFlat2) = multiply(sFlat2,commutator(sFlat1,sFlat0)),
inference(step,[status(thm)],[t13957,t88]) ).
cnf(t262288,plain,
multiply(commutator(sFlat1,sFlat0),sFlat2) = multiply(sFlat1,sFlat0),
inference(step,[status(thm)],[t262287,t101]) ).
cnf(t13995,plain,
multiply(commutator(sFlat1,sFlat0),sFlat2) = multiply(sFlat1,sFlat0),
inference(orient,[status(thm)],[t262288]) ).
cnf(t14007,plain,
multiply(commutator(sFlat1,sFlat0),multiply(sFlat2,X1)) = multiply(multiply(sFlat1,sFlat0),X1),
inference(cp,[status(thm)],[t19,t13995]) ).
cnf(t262296,plain,
multiply(commutator(sFlat1,sFlat0),multiply(sFlat2,X1)) = multiply(sFlat1,multiply(sFlat0,X1)),
inference(step,[status(thm)],[t14007,t19]) ).
cnf(t14213,plain,
multiply(commutator(sFlat1,sFlat0),multiply(sFlat2,X1)) = multiply(sFlat1,multiply(sFlat0,X1)),
inference(orient,[status(thm)],[t262296]) ).
cnf(t37425,plain,
multiply(sFlat2,multiply(sFlat4,commutator(sFlat2,sFlat4))) = multiply(sFlat2,sFlat4),
inference(cp,[status(thm)],[t37420,t14]) ).
cnf(t37637,plain,
multiply(sFlat2,multiply(sFlat4,commutator(sFlat2,sFlat4))) = multiply(sFlat2,sFlat4),
inference(orient,[status(thm)],[t37425]) ).
cnf(t37651,plain,
multiply(sFlat1,multiply(sFlat0,multiply(sFlat4,commutator(sFlat2,sFlat4)))) = multiply(commutator(sFlat1,sFlat0),multiply(sFlat2,sFlat4)),
inference(cp,[status(thm)],[t14213,t37637]) ).
cnf(t263144,plain,
multiply(sFlat1,multiply(sFlat0,multiply(sFlat4,commutator(sFlat2,sFlat4)))) = multiply(sFlat1,multiply(sFlat0,sFlat4)),
inference(step,[status(thm)],[t37651,t14213]) ).
cnf(t43023,plain,
multiply(sFlat1,multiply(sFlat0,multiply(sFlat4,commutator(sFlat2,sFlat4)))) = multiply(sFlat1,multiply(sFlat0,sFlat4)),
inference(orient,[status(thm)],[t263144]) ).
cnf(t52632,plain,
multiply(commutator(sFlat0,b),multiply(sFlat2,X1)) = multiply(sFlat4,X1),
inference(cp,[status(thm)],[t19,t52618]) ).
cnf(t53269,plain,
multiply(commutator(sFlat0,b),multiply(sFlat2,X1)) = multiply(sFlat4,X1),
inference(orient,[status(thm)],[t52632]) ).
cnf(t10515,plain,
multiply(sFlat2,multiply(commutator(sFlat0,sFlat1),sFlat2)) = multiply(sFlat0,multiply(sFlat0,multiply(sFlat1,sFlat1))),
inference(cp,[status(thm)],[t88,t10473]) ).
cnf(t262222,plain,
multiply(sFlat2,multiply(sFlat2,commutator(sFlat0,sFlat1))) = multiply(sFlat0,multiply(sFlat0,multiply(sFlat1,sFlat1))),
inference(step,[status(thm)],[t10515,t10382]) ).
cnf(t262223,plain,
multiply(sFlat2,multiply(sFlat2,commutator(sFlat0,sFlat1))) = multiply(sFlat0,multiply(sFlat2,sFlat1)),
inference(step,[status(thm)],[t262222,t88]) ).
cnf(t10936,plain,
multiply(sFlat2,multiply(sFlat2,commutator(sFlat0,sFlat1))) = multiply(sFlat0,multiply(sFlat2,sFlat1)),
inference(orient,[status(thm)],[t262223]) ).
cnf(t53360,plain,
multiply(sFlat4,multiply(sFlat2,commutator(sFlat0,sFlat1))) = multiply(commutator(sFlat0,b),multiply(sFlat0,multiply(sFlat2,sFlat1))),
inference(cp,[status(thm)],[t53269,t10936]) ).
cnf(t263483,plain,
multiply(sFlat2,multiply(sFlat4,commutator(sFlat0,sFlat1))) = multiply(commutator(sFlat0,b),multiply(sFlat0,multiply(sFlat2,sFlat1))),
inference(step,[status(thm)],[t53360,t37420]) ).
cnf(t263484,plain,
multiply(sFlat2,multiply(sFlat4,commutator(sFlat0,sFlat1))) = multiply(sFlat0,multiply(commutator(sFlat0,b),multiply(sFlat2,sFlat1))),
inference(step,[status(thm)],[t263483,t10164]) ).
cnf(t263485,plain,
multiply(sFlat2,multiply(sFlat4,commutator(sFlat0,sFlat1))) = multiply(sFlat0,multiply(sFlat4,sFlat1)),
inference(step,[status(thm)],[t263484,t53269]) ).
cnf(t263486,plain,
multiply(sFlat2,multiply(sFlat4,commutator(sFlat0,sFlat1))) = multiply(sFlat0,multiply(sFlat1,sFlat4)),
inference(step,[status(thm)],[t263485,t36802]) ).
cnf(t263487,plain,
multiply(sFlat2,multiply(sFlat4,commutator(sFlat0,sFlat1))) = multiply(sFlat2,sFlat4),
inference(step,[status(thm)],[t263486,t88]) ).
cnf(t53846,plain,
multiply(sFlat2,multiply(sFlat4,commutator(sFlat0,sFlat1))) = multiply(sFlat2,sFlat4),
inference(orient,[status(thm)],[t263487]) ).
cnf(t53863,plain,
multiply(sFlat1,multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,sFlat1)))) = multiply(commutator(sFlat1,sFlat0),multiply(sFlat2,sFlat4)),
inference(cp,[status(thm)],[t14213,t53846]) ).
cnf(t36760,plain,
multiply(sFlat1,multiply(sFlat4,X1)) = multiply(sFlat4,multiply(sFlat1,multiply(commutator(sFlat0,sFlat0),X1))),
inference(cp,[status(thm)],[t252,t36746]) ).
cnf(t262964,plain,
multiply(sFlat1,multiply(sFlat4,X1)) = multiply(sFlat4,multiply(sFlat1,X1)),
inference(step,[status(thm)],[t36760,t2763]) ).
cnf(t37138,plain,
multiply(sFlat4,multiply(sFlat1,X1)) = multiply(sFlat1,multiply(sFlat4,X1)),
inference(orient,[status(thm)],[t262964]) ).
cnf(t37193,plain,
multiply(sFlat1,multiply(sFlat4,multiply(X1,commutator(X1,sFlat1)))) = multiply(sFlat4,multiply(X1,sFlat1)),
inference(cp,[status(thm)],[t37138,t14]) ).
cnf(t41474,plain,
multiply(sFlat1,multiply(sFlat4,multiply(X1,commutator(X1,sFlat1)))) = multiply(sFlat4,multiply(X1,sFlat1)),
inference(orient,[status(thm)],[t37193]) ).
cnf(t36789,plain,
multiply(sFlat0,multiply(sFlat4,X1)) = multiply(sFlat4,multiply(sFlat0,multiply(commutator(sFlat0,sFlat0),X1))),
inference(cp,[status(thm)],[t252,t36778]) ).
cnf(t262970,plain,
multiply(sFlat0,multiply(sFlat4,X1)) = multiply(sFlat4,multiply(sFlat0,X1)),
inference(step,[status(thm)],[t36789,t443]) ).
cnf(t37295,plain,
multiply(sFlat4,multiply(sFlat0,X1)) = multiply(sFlat0,multiply(sFlat4,X1)),
inference(orient,[status(thm)],[t262970]) ).
cnf(t41477,plain,
multiply(sFlat4,multiply(sFlat0,sFlat1)) = multiply(sFlat1,multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,sFlat1)))),
inference(cp,[status(thm)],[t41474,t37295]) ).
cnf(t263112,plain,
multiply(sFlat0,multiply(sFlat4,sFlat1)) = multiply(sFlat1,multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,sFlat1)))),
inference(step,[status(thm)],[t41477,t37295]) ).
cnf(t263113,plain,
multiply(sFlat0,multiply(sFlat1,sFlat4)) = multiply(sFlat1,multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,sFlat1)))),
inference(step,[status(thm)],[t263112,t36802]) ).
cnf(t263114,plain,
multiply(sFlat2,sFlat4) = multiply(sFlat1,multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,sFlat1)))),
inference(step,[status(thm)],[t263113,t88]) ).
cnf(t41528,plain,
multiply(sFlat1,multiply(sFlat0,multiply(sFlat4,commutator(sFlat0,sFlat1)))) = multiply(sFlat2,sFlat4),
inference(orient,[status(thm)],[t263114]) ).
cnf(t263489,plain,
multiply(sFlat2,sFlat4) = multiply(commutator(sFlat1,sFlat0),multiply(sFlat2,sFlat4)),
inference(step,[status(thm)],[t53863,t41528]) ).
cnf(t263490,plain,
multiply(sFlat2,sFlat4) = multiply(sFlat1,multiply(sFlat0,sFlat4)),
inference(step,[status(thm)],[t263489,t14213]) ).
cnf(t53899,plain,
multiply(sFlat1,multiply(sFlat0,sFlat4)) = multiply(sFlat2,sFlat4),
inference(orient,[status(thm)],[t263490]) ).
cnf(t263495,plain,
multiply(sFlat1,multiply(sFlat0,multiply(sFlat4,commutator(sFlat2,sFlat4)))) = multiply(sFlat2,sFlat4),
inference(step,[status(thm)],[t43023,t53899]) ).
cnf(t53904,plain,
multiply(sFlat1,multiply(sFlat0,multiply(sFlat4,commutator(sFlat2,sFlat4)))) = multiply(sFlat2,sFlat4),
inference(orient,[status(thm)],[t263495]) ).
cnf(t265781,plain,
sFlat0 = ifeq(multiply(sFlat2,sFlat4),multiply(sFlat2,sFlat4),multiply(commutator(sFlat2,sFlat4),sFlat0),sFlat0),
inference(step,[status(thm)],[t137139,t53904]) ).
cnf(t265782,plain,
sFlat0 = multiply(commutator(sFlat2,sFlat4),sFlat0),
inference(step,[status(thm)],[t265781,t11]) ).
cnf(t137239,plain,
multiply(commutator(sFlat2,sFlat4),sFlat0) = sFlat0,
inference(orient,[status(thm)],[t265782]) ).
cnf(t137286,plain,
multiply(sFlat1,multiply(commutator(sFlat2,sFlat4),sFlat0)) = multiply(commutator(sFlat2,sFlat4),multiply(sFlat2,commutator(sFlat1,sFlat0))),
inference(cp,[status(thm)],[t20168,t137239]) ).
cnf(t265785,plain,
multiply(sFlat1,sFlat0) = multiply(commutator(sFlat2,sFlat4),multiply(sFlat2,commutator(sFlat1,sFlat0))),
inference(step,[status(thm)],[t137286,t137239]) ).
cnf(t265786,plain,
sFlat2 = multiply(commutator(sFlat2,sFlat4),multiply(sFlat2,commutator(sFlat1,sFlat0))),
inference(step,[status(thm)],[t265785,t57372]) ).
cnf(t265787,plain,
sFlat2 = multiply(sFlat2,multiply(commutator(sFlat2,sFlat4),commutator(sFlat1,sFlat0))),
inference(step,[status(thm)],[t265786,t10164]) ).
cnf(t265788,plain,
sFlat2 = multiply(sFlat2,multiply(commutator(sFlat2,sFlat4),commutator(sFlat0,sFlat0))),
inference(step,[status(thm)],[t265787,t57537]) ).
cnf(t265789,plain,
sFlat2 = multiply(sFlat2,commutator(sFlat2,sFlat4)),
inference(step,[status(thm)],[t265788,t4967]) ).
cnf(t137294,plain,
multiply(sFlat2,commutator(sFlat2,sFlat4)) = sFlat2,
inference(orient,[status(thm)],[t265789]) ).
cnf(t137320,plain,
commutator(sFlat2,sFlat2) = ifeq(sFlat2,sFlat2,commutator(sFlat2,sFlat4),commutator(X1,X1)),
inference(cp,[status(thm)],[t18015,t137294]) ).
cnf(t265790,plain,
commutator(sFlat0,a) = ifeq(sFlat2,sFlat2,commutator(sFlat2,sFlat4),commutator(X1,X1)),
inference(step,[status(thm)],[t137320,t47437]) ).
cnf(t265791,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat2,sFlat2,commutator(sFlat2,sFlat4),commutator(X1,X1)),
inference(step,[status(thm)],[t265790,t47437]) ).
cnf(t265792,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat2,sFlat4),
inference(step,[status(thm)],[t265791,t11]) ).
cnf(t137371,plain,
commutator(sFlat2,sFlat4) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t265792]) ).
cnf(t137375,plain,
multiply(commutator(sFlat2,sFlat3),c) = multiply(c,multiply(commutator(sFlat2,sFlat3),commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t25586,t137371]) ).
cnf(t265798,plain,
multiply(commutator(sFlat2,sFlat3),c) = multiply(c,commutator(sFlat2,sFlat3)),
inference(step,[status(thm)],[t137375,t4967]) ).
cnf(t137618,plain,
multiply(commutator(sFlat2,sFlat3),c) = multiply(c,commutator(sFlat2,sFlat3)),
inference(orient,[status(thm)],[t265798]) ).
cnf(t137625,plain,
multiply(commutator(sFlat2,sFlat3),multiply(c,X1)) = multiply(multiply(c,commutator(sFlat2,sFlat3)),X1),
inference(cp,[status(thm)],[t19,t137618]) ).
cnf(t265799,plain,
multiply(commutator(sFlat2,sFlat3),multiply(c,X1)) = multiply(c,multiply(commutator(sFlat2,sFlat3),X1)),
inference(step,[status(thm)],[t137625,t19]) ).
cnf(t137648,plain,
multiply(commutator(sFlat2,sFlat3),multiply(c,X1)) = multiply(c,multiply(commutator(sFlat2,sFlat3),X1)),
inference(orient,[status(thm)],[t265799]) ).
cnf(t4194,plain,
commutator(sFlat0,commutator(c,X1)) = commutator(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t39,t4193]) ).
cnf(t262026,plain,
commutator(sFlat0,commutator(c,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t4194,t39]) ).
cnf(t5140,plain,
commutator(sFlat0,commutator(c,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(orient,[status(thm)],[t262026]) ).
cnf(t262080,plain,
commutator(sFlat0,commutator(c,X1)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t5140,t6150]) ).
cnf(t6169,plain,
commutator(sFlat0,commutator(c,X1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262080]) ).
cnf(t10482,plain,
multiply(sFlat0,multiply(commutator(c,X1),sFlat1)) = multiply(commutator(c,X1),multiply(commutator(sFlat0,sFlat0),sFlat2)),
inference(cp,[status(thm)],[t10473,t6169]) ).
cnf(t262220,plain,
multiply(sFlat0,multiply(commutator(c,X1),sFlat1)) = multiply(commutator(c,X1),sFlat2),
inference(step,[status(thm)],[t10482,t2005]) ).
cnf(t10875,plain,
multiply(sFlat0,multiply(commutator(c,X1),sFlat1)) = multiply(commutator(c,X1),sFlat2),
inference(orient,[status(thm)],[t262220]) ).
cnf(t10885,plain,
multiply(sFlat0,multiply(c,multiply(commutator(c,X1),sFlat1))) = multiply(c,multiply(commutator(c,X1),sFlat2)),
inference(cp,[status(thm)],[t5155,t10875]) ).
cnf(t4983,plain,
multiply(b,commutator(c,sFlat1)) = multiply(commutator(c,sFlat1),b),
inference(cp,[status(thm)],[t1362,t4967]) ).
cnf(t5208,plain,
multiply(commutator(c,sFlat1),b) = multiply(b,commutator(c,sFlat1)),
inference(orient,[status(thm)],[t4983]) ).
cnf(t5214,plain,
multiply(commutator(c,sFlat1),multiply(b,X1)) = multiply(multiply(b,commutator(c,sFlat1)),X1),
inference(cp,[status(thm)],[t19,t5208]) ).
cnf(t262190,plain,
multiply(commutator(c,sFlat1),multiply(b,X1)) = multiply(b,multiply(commutator(c,sFlat1),X1)),
inference(step,[status(thm)],[t5214,t19]) ).
cnf(t9590,plain,
multiply(commutator(c,sFlat1),multiply(b,X1)) = multiply(b,multiply(commutator(c,sFlat1),X1)),
inference(orient,[status(thm)],[t262190]) ).
cnf(t52637,plain,
multiply(sFlat0,multiply(b,sFlat1)) = multiply(b,sFlat4),
inference(cp,[status(thm)],[t10473,t52618]) ).
cnf(t263431,plain,
multiply(sFlat0,multiply(sFlat1,b)) = multiply(b,sFlat4),
inference(step,[status(thm)],[t52637,t3710]) ).
cnf(t263432,plain,
multiply(sFlat2,b) = multiply(b,sFlat4),
inference(step,[status(thm)],[t263431,t88]) ).
cnf(t52656,plain,
multiply(b,sFlat4) = multiply(sFlat2,b),
inference(orient,[status(thm)],[t263432]) ).
cnf(t52673,plain,
multiply(b,multiply(commutator(c,sFlat1),sFlat4)) = multiply(commutator(c,sFlat1),multiply(sFlat2,b)),
inference(cp,[status(thm)],[t9590,t52656]) ).
cnf(t10876,plain,
multiply(commutator(c,sFlat1),sFlat2) = multiply(sFlat0,multiply(sFlat1,commutator(c,sFlat1))),
inference(cp,[status(thm)],[t10875,t9906]) ).
cnf(t262221,plain,
multiply(commutator(c,sFlat1),sFlat2) = multiply(sFlat2,commutator(c,sFlat1)),
inference(step,[status(thm)],[t10876,t88]) ).
cnf(t10912,plain,
multiply(commutator(c,sFlat1),sFlat2) = multiply(sFlat2,commutator(c,sFlat1)),
inference(orient,[status(thm)],[t262221]) ).
cnf(t10917,plain,
multiply(commutator(c,sFlat1),multiply(sFlat2,X1)) = multiply(multiply(sFlat2,commutator(c,sFlat1)),X1),
inference(cp,[status(thm)],[t19,t10912]) ).
cnf(t262339,plain,
multiply(commutator(c,sFlat1),multiply(sFlat2,X1)) = multiply(sFlat2,multiply(commutator(c,sFlat1),X1)),
inference(step,[status(thm)],[t10917,t19]) ).
cnf(t15788,plain,
multiply(commutator(c,sFlat1),multiply(sFlat2,X1)) = multiply(sFlat2,multiply(commutator(c,sFlat1),X1)),
inference(orient,[status(thm)],[t262339]) ).
cnf(t263938,plain,
multiply(b,multiply(commutator(c,sFlat1),sFlat4)) = multiply(sFlat2,multiply(commutator(c,sFlat1),b)),
inference(step,[status(thm)],[t52673,t15788]) ).
cnf(t263939,plain,
multiply(b,multiply(commutator(c,sFlat1),sFlat4)) = multiply(sFlat2,multiply(b,commutator(c,sFlat1))),
inference(step,[status(thm)],[t263938,t5208]) ).
cnf(t64096,plain,
multiply(b,multiply(commutator(c,sFlat1),sFlat4)) = multiply(sFlat2,multiply(b,commutator(c,sFlat1))),
inference(orient,[status(thm)],[t263939]) ).
cnf(t64117,plain,
multiply(sFlat3,multiply(commutator(c,sFlat1),sFlat4)) = multiply(a,multiply(sFlat2,multiply(b,commutator(c,sFlat1)))),
inference(cp,[status(thm)],[t57,t64096]) ).
cnf(t6337,plain,
multiply(sFlat0,multiply(a,multiply(sFlat1,X1))) = multiply(a,multiply(sFlat2,X1)),
inference(cp,[status(thm)],[t6333,t88]) ).
cnf(t7510,plain,
multiply(sFlat0,multiply(a,multiply(sFlat1,X1))) = multiply(a,multiply(sFlat2,X1)),
inference(orient,[status(thm)],[t6337]) ).
cnf(t7512,plain,
multiply(a,multiply(sFlat2,multiply(b,X1))) = multiply(sFlat0,multiply(sFlat3,multiply(sFlat1,X1))),
inference(cp,[status(thm)],[t7510,t6922]) ).
cnf(t11544,plain,
multiply(a,multiply(sFlat2,multiply(b,X1))) = multiply(sFlat0,multiply(sFlat3,multiply(sFlat1,X1))),
inference(orient,[status(thm)],[t7512]) ).
cnf(t263520,plain,
multiply(a,multiply(sFlat2,multiply(b,X1))) = multiply(sFlat3,multiply(sFlat4,X1)),
inference(step,[status(thm)],[t11544,t54440]) ).
cnf(t54441,plain,
multiply(a,multiply(sFlat2,multiply(b,X1))) = multiply(sFlat3,multiply(sFlat4,X1)),
inference(orient,[status(thm)],[t263520]) ).
cnf(t264141,plain,
multiply(sFlat3,multiply(commutator(c,sFlat1),sFlat4)) = multiply(sFlat3,multiply(sFlat4,commutator(c,sFlat1))),
inference(step,[status(thm)],[t64117,t54441]) ).
cnf(t73173,plain,
multiply(sFlat3,multiply(commutator(c,sFlat1),sFlat4)) = multiply(sFlat3,multiply(sFlat4,commutator(c,sFlat1))),
inference(orient,[status(thm)],[t264141]) ).
cnf(t73202,plain,
multiply(commutator(c,sFlat1),sFlat4) = ifeq(multiply(sFlat3,c),multiply(c,multiply(sFlat3,multiply(sFlat4,commutator(c,sFlat1)))),sFlat4,multiply(commutator(c,sFlat1),sFlat4)),
inference(cp,[status(thm)],[t52469,t73173]) ).
cnf(t264142,plain,
multiply(commutator(c,sFlat1),sFlat4) = ifeq(multiply(sFlat3,c),multiply(sFlat3,multiply(c,commutator(c,sFlat1))),sFlat4,multiply(commutator(c,sFlat1),sFlat4)),
inference(step,[status(thm)],[t73202,t135]) ).
cnf(t5223,plain,
multiply(c,multiply(sFlat1,b)) = multiply(sFlat1,multiply(c,multiply(b,commutator(c,sFlat1)))),
inference(cp,[status(thm)],[t252,t5208]) ).
cnf(t262402,plain,
multiply(sFlat1,multiply(c,b)) = multiply(sFlat1,multiply(c,multiply(b,commutator(c,sFlat1)))),
inference(step,[status(thm)],[t5223,t5067]) ).
cnf(t262403,plain,
multiply(b,c) = multiply(sFlat1,multiply(c,multiply(b,commutator(c,sFlat1)))),
inference(step,[status(thm)],[t262402,t5093]) ).
cnf(t262404,plain,
multiply(b,c) = multiply(b,multiply(c,commutator(c,sFlat1))),
inference(step,[status(thm)],[t262403,t6985]) ).
cnf(t18587,plain,
multiply(b,multiply(c,commutator(c,sFlat1))) = multiply(b,c),
inference(orient,[status(thm)],[t262404]) ).
cnf(t18606,plain,
multiply(sFlat3,multiply(c,commutator(c,sFlat1))) = multiply(a,multiply(b,c)),
inference(cp,[status(thm)],[t57,t18587]) ).
cnf(t262405,plain,
multiply(sFlat3,multiply(c,commutator(c,sFlat1))) = multiply(sFlat3,c),
inference(step,[status(thm)],[t18606,t57]) ).
cnf(t18635,plain,
multiply(sFlat3,multiply(c,commutator(c,sFlat1))) = multiply(sFlat3,c),
inference(orient,[status(thm)],[t262405]) ).
cnf(t264143,plain,
multiply(commutator(c,sFlat1),sFlat4) = ifeq(multiply(sFlat3,c),multiply(sFlat3,c),sFlat4,multiply(commutator(c,sFlat1),sFlat4)),
inference(step,[status(thm)],[t264142,t18635]) ).
cnf(t264144,plain,
multiply(commutator(c,sFlat1),sFlat4) = sFlat4,
inference(step,[status(thm)],[t264143,t11]) ).
cnf(t73229,plain,
multiply(commutator(c,sFlat1),sFlat4) = sFlat4,
inference(orient,[status(thm)],[t264144]) ).
cnf(t73234,plain,
commutator(X1,X1) = ifeq(sFlat4,sFlat4,commutator(c,sFlat1),commutator(X1,X1)),
inference(cp,[status(thm)],[t18301,t73229]) ).
cnf(t264151,plain,
commutator(X1,X1) = commutator(c,sFlat1),
inference(step,[status(thm)],[t73234,t11]) ).
cnf(t73272,plain,
commutator(X1,X1) = commutator(c,sFlat1),
inference(orient,[status(thm)],[t264151]) ).
cnf(t73482,plain,
multiply(commutator(c,sFlat1),X1) = multiply(X1,multiply(commutator(X2,X2),commutator(c,commutator(sFlat1,X1)))),
inference(cp,[status(thm)],[t9628,t73272]) ).
cnf(t264161,plain,
multiply(commutator(sFlat0,sFlat0),X1) = multiply(X1,multiply(commutator(X2,X2),commutator(c,commutator(sFlat1,X1)))),
inference(step,[status(thm)],[t73482,t73272]) ).
cnf(t264162,plain,
X1 = multiply(X1,multiply(commutator(X2,X2),commutator(c,commutator(sFlat1,X1)))),
inference(step,[status(thm)],[t264161,t4930]) ).
cnf(t264163,plain,
X1 = multiply(X1,commutator(c,commutator(sFlat1,X1))),
inference(step,[status(thm)],[t264162,t4930]) ).
cnf(t73623,plain,
multiply(X1,commutator(c,commutator(sFlat1,X1))) = X1,
inference(orient,[status(thm)],[t264163]) ).
cnf(t73724,plain,
commutator(X1,X1) = ifeq(X1,X1,commutator(c,commutator(sFlat1,X1)),commutator(X2,X2)),
inference(cp,[status(thm)],[t18015,t73623]) ).
cnf(t264171,plain,
commutator(X1,X1) = commutator(c,commutator(sFlat1,X1)),
inference(step,[status(thm)],[t73724,t11]) ).
cnf(t74045,plain,
commutator(X1,X1) = commutator(c,commutator(sFlat1,X1)),
inference(orient,[status(thm)],[t264171]) ).
cnf(t74047,plain,
commutator(c,commutator(sFlat1,X1)) = commutator(c,sFlat1),
inference(cp,[status(thm)],[t74045,t73272]) ).
cnf(t264172,plain,
commutator(c,commutator(sFlat1,X1)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t74047,t73272]) ).
cnf(t74188,plain,
commutator(c,commutator(sFlat1,X1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t264172]) ).
cnf(t74222,plain,
multiply(c,commutator(sFlat1,X1)) = multiply(commutator(sFlat1,X1),multiply(c,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t74188]) ).
cnf(t264174,plain,
multiply(c,commutator(sFlat1,X1)) = multiply(commutator(sFlat1,X1),c),
inference(step,[status(thm)],[t74222,t4291]) ).
cnf(t74242,plain,
multiply(commutator(sFlat1,X1),c) = multiply(c,commutator(sFlat1,X1)),
inference(orient,[status(thm)],[t264174]) ).
cnf(t74269,plain,
multiply(sFlat1,multiply(X1,c)) = multiply(X1,multiply(sFlat1,multiply(c,commutator(sFlat1,X1)))),
inference(cp,[status(thm)],[t252,t74242]) ).
cnf(t104439,plain,
multiply(X1,multiply(sFlat1,multiply(c,commutator(sFlat1,X1)))) = multiply(sFlat1,multiply(X1,c)),
inference(orient,[status(thm)],[t74269]) ).
cnf(t4185,plain,
commutator(sFlat1,commutator(c,X1)) = commutator(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t39,t4184]) ).
cnf(t262020,plain,
commutator(sFlat1,commutator(c,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t4185,t39]) ).
cnf(t5053,plain,
commutator(sFlat1,commutator(c,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(orient,[status(thm)],[t262020]) ).
cnf(t262078,plain,
commutator(sFlat1,commutator(c,X1)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t5053,t6150]) ).
cnf(t6167,plain,
commutator(sFlat1,commutator(c,X1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262078]) ).
cnf(t104450,plain,
multiply(sFlat1,multiply(commutator(c,X1),c)) = multiply(commutator(c,X1),multiply(sFlat1,multiply(c,commutator(sFlat0,sFlat0)))),
inference(cp,[status(thm)],[t104439,t6167]) ).
cnf(t265018,plain,
multiply(sFlat1,multiply(c,commutator(c,X1))) = multiply(commutator(c,X1),multiply(sFlat1,multiply(c,commutator(sFlat0,sFlat0)))),
inference(step,[status(thm)],[t104450,t6183]) ).
cnf(t265019,plain,
multiply(sFlat1,multiply(c,commutator(c,X1))) = multiply(commutator(c,X1),multiply(sFlat1,c)),
inference(step,[status(thm)],[t265018,t4291]) ).
cnf(t4186,plain,
multiply(sFlat1,c) = multiply(c,multiply(sFlat1,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t4184]) ).
cnf(t262006,plain,
multiply(sFlat1,c) = multiply(c,sFlat1),
inference(step,[status(thm)],[t4186,t2395]) ).
cnf(t4210,plain,
multiply(c,sFlat1) = multiply(sFlat1,c),
inference(orient,[status(thm)],[t262006]) ).
cnf(t10256,plain,
multiply(c,multiply(commutator(c,X1),sFlat1)) = multiply(commutator(c,X1),multiply(sFlat1,c)),
inference(cp,[status(thm)],[t10164,t4210]) ).
cnf(t14503,plain,
multiply(commutator(c,X1),multiply(sFlat1,c)) = multiply(c,multiply(commutator(c,X1),sFlat1)),
inference(orient,[status(thm)],[t10256]) ).
cnf(t265020,plain,
multiply(sFlat1,multiply(c,commutator(c,X1))) = multiply(c,multiply(commutator(c,X1),sFlat1)),
inference(step,[status(thm)],[t265019,t14503]) ).
cnf(t104645,plain,
multiply(c,multiply(commutator(c,X1),sFlat1)) = multiply(sFlat1,multiply(c,commutator(c,X1))),
inference(orient,[status(thm)],[t265020]) ).
cnf(t266721,plain,
multiply(sFlat0,multiply(sFlat1,multiply(c,commutator(c,X1)))) = multiply(c,multiply(commutator(c,X1),sFlat2)),
inference(step,[status(thm)],[t10885,t104645]) ).
cnf(t266722,plain,
multiply(sFlat2,multiply(c,commutator(c,X1))) = multiply(c,multiply(commutator(c,X1),sFlat2)),
inference(step,[status(thm)],[t266721,t88]) ).
cnf(t170246,plain,
multiply(c,multiply(commutator(c,X1),sFlat2)) = multiply(sFlat2,multiply(c,commutator(c,X1))),
inference(orient,[status(thm)],[t266722]) ).
cnf(t170322,plain,
multiply(c,multiply(X1,sFlat2)) = multiply(X1,multiply(sFlat2,multiply(c,commutator(c,X1)))),
inference(cp,[status(thm)],[t252,t170246]) ).
cnf(t170333,plain,
multiply(X1,multiply(sFlat2,multiply(c,commutator(c,X1)))) = multiply(c,multiply(X1,sFlat2)),
inference(orient,[status(thm)],[t170322]) ).
cnf(t36896,plain,
multiply(sFlat3,multiply(c,sFlat2)) = multiply(c,multiply(sFlat3,multiply(sFlat2,sFlat4))),
inference(cp,[status(thm)],[t135,t36869]) ).
cnf(t5158,plain,
multiply(sFlat0,multiply(c,sFlat1)) = multiply(c,sFlat2),
inference(cp,[status(thm)],[t5155,t51]) ).
cnf(t262031,plain,
multiply(sFlat0,multiply(sFlat1,c)) = multiply(c,sFlat2),
inference(step,[status(thm)],[t5158,t4210]) ).
cnf(t262032,plain,
multiply(sFlat2,c) = multiply(c,sFlat2),
inference(step,[status(thm)],[t262031,t88]) ).
cnf(t5182,plain,
multiply(c,sFlat2) = multiply(sFlat2,c),
inference(orient,[status(thm)],[t262032]) ).
cnf(t263003,plain,
multiply(sFlat3,multiply(sFlat2,c)) = multiply(c,multiply(sFlat3,multiply(sFlat2,sFlat4))),
inference(step,[status(thm)],[t36896,t5182]) ).
cnf(t38397,plain,
multiply(c,multiply(sFlat3,multiply(sFlat2,sFlat4))) = multiply(sFlat3,multiply(sFlat2,c)),
inference(orient,[status(thm)],[t263003]) ).
cnf(t52750,plain,
multiply(commutator(sFlat0,sFlat3),multiply(sFlat2,X1)) = multiply(sFlat4,X1),
inference(cp,[status(thm)],[t19,t52734]) ).
cnf(t53481,plain,
multiply(commutator(sFlat0,sFlat3),multiply(sFlat2,X1)) = multiply(sFlat4,X1),
inference(orient,[status(thm)],[t52750]) ).
cnf(t52683,plain,
multiply(b,multiply(sFlat4,X1)) = multiply(multiply(sFlat2,b),X1),
inference(cp,[status(thm)],[t19,t52656]) ).
cnf(t263448,plain,
multiply(b,multiply(sFlat4,X1)) = multiply(sFlat2,multiply(b,X1)),
inference(step,[status(thm)],[t52683,t19]) ).
cnf(t52881,plain,
multiply(b,multiply(sFlat4,X1)) = multiply(sFlat2,multiply(b,X1)),
inference(orient,[status(thm)],[t263448]) ).
cnf(t52898,plain,
multiply(sFlat2,multiply(b,sFlat0)) = multiply(b,multiply(sFlat0,sFlat4)),
inference(cp,[status(thm)],[t52881,t36836]) ).
cnf(t52650,plain,
multiply(sFlat0,multiply(b,sFlat2)) = multiply(b,multiply(sFlat0,sFlat4)),
inference(cp,[status(thm)],[t252,t52618]) ).
cnf(t52824,plain,
multiply(b,multiply(sFlat0,sFlat4)) = multiply(sFlat0,multiply(b,sFlat2)),
inference(orient,[status(thm)],[t52650]) ).
cnf(t263460,plain,
multiply(sFlat2,multiply(b,sFlat0)) = multiply(sFlat0,multiply(b,sFlat2)),
inference(step,[status(thm)],[t52898,t52824]) ).
cnf(t53098,plain,
multiply(sFlat2,multiply(b,sFlat0)) = multiply(sFlat0,multiply(b,sFlat2)),
inference(orient,[status(thm)],[t263460]) ).
cnf(t53279,plain,
multiply(sFlat4,multiply(b,sFlat0)) = multiply(commutator(sFlat0,b),multiply(sFlat0,multiply(b,sFlat2))),
inference(cp,[status(thm)],[t53269,t53098]) ).
cnf(t263469,plain,
multiply(sFlat4,multiply(b,sFlat0)) = multiply(sFlat0,multiply(commutator(sFlat0,b),multiply(b,sFlat2))),
inference(step,[status(thm)],[t53279,t10164]) ).
cnf(t263470,plain,
multiply(sFlat4,multiply(b,sFlat0)) = multiply(sFlat0,multiply(b,multiply(commutator(sFlat0,b),sFlat2))),
inference(step,[status(thm)],[t263469,t13712]) ).
cnf(t263471,plain,
multiply(sFlat4,multiply(b,sFlat0)) = multiply(sFlat0,multiply(sFlat0,multiply(b,sFlat1))),
inference(step,[status(thm)],[t263470,t10473]) ).
cnf(t263472,plain,
multiply(sFlat4,multiply(b,sFlat0)) = multiply(sFlat0,multiply(sFlat0,multiply(sFlat1,b))),
inference(step,[status(thm)],[t263471,t3710]) ).
cnf(t263473,plain,
multiply(sFlat4,multiply(b,sFlat0)) = multiply(sFlat0,multiply(sFlat2,b)),
inference(step,[status(thm)],[t263472,t88]) ).
cnf(t53433,plain,
multiply(sFlat4,multiply(b,sFlat0)) = multiply(sFlat0,multiply(sFlat2,b)),
inference(orient,[status(thm)],[t263473]) ).
cnf(t53453,plain,
multiply(sFlat4,multiply(multiply(b,sFlat0),X1)) = multiply(multiply(sFlat0,multiply(sFlat2,b)),X1),
inference(cp,[status(thm)],[t19,t53433]) ).
cnf(t263955,plain,
multiply(sFlat4,multiply(b,multiply(sFlat0,X1))) = multiply(multiply(sFlat0,multiply(sFlat2,b)),X1),
inference(step,[status(thm)],[t53453,t19]) ).
cnf(t263956,plain,
multiply(sFlat4,multiply(b,multiply(sFlat0,X1))) = multiply(sFlat0,multiply(multiply(sFlat2,b),X1)),
inference(step,[status(thm)],[t263955,t19]) ).
cnf(t263957,plain,
multiply(sFlat4,multiply(b,multiply(sFlat0,X1))) = multiply(sFlat0,multiply(sFlat2,multiply(b,X1))),
inference(step,[status(thm)],[t263956,t19]) ).
cnf(t64971,plain,
multiply(sFlat4,multiply(b,multiply(sFlat0,X1))) = multiply(sFlat0,multiply(sFlat2,multiply(b,X1))),
inference(orient,[status(thm)],[t263957]) ).
cnf(t48374,plain,
multiply(sFlat0,commutator(a,X1)) = multiply(commutator(a,X1),multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t48354]) ).
cnf(t263367,plain,
multiply(sFlat0,commutator(a,X1)) = multiply(commutator(a,X1),sFlat0),
inference(step,[status(thm)],[t48374,t4967]) ).
cnf(t48394,plain,
multiply(commutator(a,X1),sFlat0) = multiply(sFlat0,commutator(a,X1)),
inference(orient,[status(thm)],[t263367]) ).
cnf(t48425,plain,
multiply(a,multiply(X1,sFlat0)) = multiply(X1,multiply(a,multiply(sFlat0,commutator(a,X1)))),
inference(cp,[status(thm)],[t252,t48394]) ).
cnf(t263392,plain,
multiply(a,multiply(X1,sFlat0)) = multiply(X1,multiply(sFlat0,multiply(a,commutator(a,X1)))),
inference(step,[status(thm)],[t48425,t6333]) ).
cnf(t49321,plain,
multiply(X1,multiply(sFlat0,multiply(a,commutator(a,X1)))) = multiply(a,multiply(X1,sFlat0)),
inference(orient,[status(thm)],[t263392]) ).
cnf(t64978,plain,
multiply(sFlat0,multiply(sFlat2,multiply(b,multiply(a,commutator(a,b))))) = multiply(sFlat4,multiply(a,multiply(b,sFlat0))),
inference(cp,[status(thm)],[t64971,t49321]) ).
cnf(t263958,plain,
multiply(sFlat0,multiply(sFlat2,multiply(a,b))) = multiply(sFlat4,multiply(a,multiply(b,sFlat0))),
inference(step,[status(thm)],[t64978,t14]) ).
cnf(t263959,plain,
multiply(sFlat0,multiply(sFlat2,sFlat3)) = multiply(sFlat4,multiply(a,multiply(b,sFlat0))),
inference(step,[status(thm)],[t263958,t33]) ).
cnf(t263960,plain,
multiply(sFlat0,multiply(sFlat2,sFlat3)) = multiply(sFlat4,multiply(sFlat3,sFlat0)),
inference(step,[status(thm)],[t263959,t57]) ).
cnf(t263961,plain,
multiply(sFlat0,multiply(sFlat2,sFlat3)) = multiply(sFlat3,multiply(sFlat4,sFlat0)),
inference(step,[status(thm)],[t263960,t3875]) ).
cnf(t263962,plain,
multiply(sFlat0,multiply(sFlat2,sFlat3)) = multiply(sFlat3,multiply(sFlat0,sFlat4)),
inference(step,[status(thm)],[t263961,t36836]) ).
cnf(t52768,plain,
multiply(sFlat0,multiply(sFlat3,sFlat2)) = multiply(sFlat3,multiply(sFlat0,sFlat4)),
inference(cp,[status(thm)],[t252,t52734]) ).
cnf(t52983,plain,
multiply(sFlat3,multiply(sFlat0,sFlat4)) = multiply(sFlat0,multiply(sFlat3,sFlat2)),
inference(orient,[status(thm)],[t52768]) ).
cnf(t263963,plain,
multiply(sFlat0,multiply(sFlat2,sFlat3)) = multiply(sFlat0,multiply(sFlat3,sFlat2)),
inference(step,[status(thm)],[t263962,t52983]) ).
cnf(t65097,plain,
multiply(sFlat0,multiply(sFlat3,sFlat2)) = multiply(sFlat0,multiply(sFlat2,sFlat3)),
inference(orient,[status(thm)],[t263963]) ).
cnf(t65106,plain,
multiply(sFlat2,multiply(sFlat3,sFlat2)) = multiply(sFlat1,multiply(sFlat0,multiply(sFlat2,sFlat3))),
inference(cp,[status(thm)],[t57653,t65097]) ).
cnf(t263968,plain,
multiply(sFlat2,multiply(sFlat3,sFlat2)) = multiply(sFlat2,multiply(sFlat2,sFlat3)),
inference(step,[status(thm)],[t65106,t57653]) ).
cnf(t65153,plain,
multiply(sFlat2,multiply(sFlat3,sFlat2)) = multiply(sFlat2,multiply(sFlat2,sFlat3)),
inference(orient,[status(thm)],[t263968]) ).
cnf(t65162,plain,
multiply(sFlat4,multiply(sFlat3,sFlat2)) = multiply(commutator(sFlat0,sFlat3),multiply(sFlat2,multiply(sFlat2,sFlat3))),
inference(cp,[status(thm)],[t53481,t65153]) ).
cnf(t263969,plain,
multiply(sFlat3,multiply(sFlat4,sFlat2)) = multiply(commutator(sFlat0,sFlat3),multiply(sFlat2,multiply(sFlat2,sFlat3))),
inference(step,[status(thm)],[t65162,t3875]) ).
cnf(t263970,plain,
multiply(sFlat3,multiply(sFlat2,sFlat4)) = multiply(commutator(sFlat0,sFlat3),multiply(sFlat2,multiply(sFlat2,sFlat3))),
inference(step,[status(thm)],[t263969,t36869]) ).
cnf(t263971,plain,
multiply(sFlat3,multiply(sFlat2,sFlat4)) = multiply(sFlat4,multiply(sFlat2,sFlat3)),
inference(step,[status(thm)],[t263970,t53481]) ).
cnf(t263972,plain,
multiply(sFlat3,multiply(sFlat2,sFlat4)) = multiply(sFlat2,multiply(sFlat4,sFlat3)),
inference(step,[status(thm)],[t263971,t37420]) ).
cnf(t263973,plain,
multiply(sFlat3,multiply(sFlat2,sFlat4)) = multiply(sFlat2,multiply(sFlat3,sFlat4)),
inference(step,[status(thm)],[t263972,t3693]) ).
cnf(t65208,plain,
multiply(sFlat3,multiply(sFlat2,sFlat4)) = multiply(sFlat2,multiply(sFlat3,sFlat4)),
inference(orient,[status(thm)],[t263973]) ).
cnf(t263976,plain,
multiply(c,multiply(sFlat2,multiply(sFlat3,sFlat4))) = multiply(sFlat3,multiply(sFlat2,c)),
inference(step,[status(thm)],[t38397,t65208]) ).
cnf(t5159,plain,
multiply(sFlat0,multiply(c,multiply(sFlat1,X1))) = multiply(c,multiply(sFlat2,X1)),
inference(cp,[status(thm)],[t5155,t88]) ).
cnf(t262034,plain,
multiply(sFlat0,multiply(sFlat1,multiply(c,X1))) = multiply(c,multiply(sFlat2,X1)),
inference(step,[status(thm)],[t5159,t5067]) ).
cnf(t262035,plain,
multiply(sFlat2,multiply(c,X1)) = multiply(c,multiply(sFlat2,X1)),
inference(step,[status(thm)],[t262034,t88]) ).
cnf(t5264,plain,
multiply(c,multiply(sFlat2,X1)) = multiply(sFlat2,multiply(c,X1)),
inference(orient,[status(thm)],[t262035]) ).
cnf(t263977,plain,
multiply(sFlat2,multiply(c,multiply(sFlat3,sFlat4))) = multiply(sFlat3,multiply(sFlat2,c)),
inference(step,[status(thm)],[t263976,t5264]) ).
cnf(t263978,plain,
multiply(sFlat2,multiply(sFlat3,c)) = multiply(sFlat3,multiply(sFlat2,c)),
inference(step,[status(thm)],[t263977,t66]) ).
cnf(t65265,plain,
multiply(sFlat2,multiply(sFlat3,c)) = multiply(sFlat3,multiply(sFlat2,c)),
inference(rw,[status(thm)],[t263978]) ).
cnf(t65351,plain,
multiply(sFlat3,multiply(sFlat2,c)) = multiply(sFlat2,multiply(sFlat3,c)),
inference(orient,[status(thm)],[t65265]) ).
cnf(t65376,plain,
multiply(sFlat3,multiply(multiply(sFlat2,c),X1)) = multiply(multiply(sFlat2,multiply(sFlat3,c)),X1),
inference(cp,[status(thm)],[t19,t65351]) ).
cnf(t264214,plain,
multiply(sFlat3,multiply(sFlat2,multiply(c,X1))) = multiply(multiply(sFlat2,multiply(sFlat3,c)),X1),
inference(step,[status(thm)],[t65376,t19]) ).
cnf(t264215,plain,
multiply(sFlat3,multiply(sFlat2,multiply(c,X1))) = multiply(sFlat2,multiply(multiply(sFlat3,c),X1)),
inference(step,[status(thm)],[t264214,t19]) ).
cnf(t264216,plain,
multiply(sFlat3,multiply(sFlat2,multiply(c,X1))) = multiply(sFlat2,multiply(sFlat3,multiply(c,X1))),
inference(step,[status(thm)],[t264215,t19]) ).
cnf(t75909,plain,
multiply(sFlat3,multiply(sFlat2,multiply(c,X1))) = multiply(sFlat2,multiply(sFlat3,multiply(c,X1))),
inference(orient,[status(thm)],[t264216]) ).
cnf(t170338,plain,
multiply(c,multiply(sFlat3,sFlat2)) = multiply(sFlat2,multiply(sFlat3,multiply(c,commutator(c,sFlat3)))),
inference(cp,[status(thm)],[t170333,t75909]) ).
cnf(t266725,plain,
multiply(c,multiply(sFlat3,sFlat2)) = multiply(sFlat2,multiply(c,sFlat3)),
inference(step,[status(thm)],[t170338,t14]) ).
cnf(t170659,plain,
multiply(c,multiply(sFlat3,sFlat2)) = multiply(sFlat2,multiply(c,sFlat3)),
inference(orient,[status(thm)],[t266725]) ).
cnf(t170693,plain,
multiply(c,multiply(multiply(sFlat3,sFlat2),X1)) = multiply(multiply(sFlat2,multiply(c,sFlat3)),X1),
inference(cp,[status(thm)],[t19,t170659]) ).
cnf(t266732,plain,
multiply(c,multiply(sFlat3,multiply(sFlat2,X1))) = multiply(multiply(sFlat2,multiply(c,sFlat3)),X1),
inference(step,[status(thm)],[t170693,t19]) ).
cnf(t266733,plain,
multiply(c,multiply(sFlat3,multiply(sFlat2,X1))) = multiply(sFlat2,multiply(multiply(c,sFlat3),X1)),
inference(step,[status(thm)],[t266732,t19]) ).
cnf(t266734,plain,
multiply(c,multiply(sFlat3,multiply(sFlat2,X1))) = multiply(sFlat2,multiply(c,multiply(sFlat3,X1))),
inference(step,[status(thm)],[t266733,t19]) ).
cnf(t170747,plain,
multiply(c,multiply(sFlat3,multiply(sFlat2,X1))) = multiply(sFlat2,multiply(c,multiply(sFlat3,X1))),
inference(orient,[status(thm)],[t266734]) ).
cnf(t57328,plain,
multiply(sFlat0,multiply(sFlat1,sFlat1)) = multiply(sFlat1,multiply(commutator(sFlat0,sFlat0),sFlat2)),
inference(cp,[status(thm)],[t10473,t57320]) ).
cnf(t263677,plain,
multiply(sFlat2,sFlat1) = multiply(sFlat1,multiply(commutator(sFlat0,sFlat0),sFlat2)),
inference(step,[status(thm)],[t57328,t88]) ).
cnf(t263678,plain,
multiply(sFlat2,sFlat1) = multiply(sFlat1,sFlat2),
inference(step,[status(thm)],[t263677,t2763]) ).
cnf(t57440,plain,
multiply(sFlat2,sFlat1) = multiply(sFlat1,sFlat2),
inference(orient,[status(thm)],[t263678]) ).
cnf(t170945,plain,
multiply(sFlat2,multiply(c,multiply(sFlat3,sFlat1))) = multiply(c,multiply(sFlat3,multiply(sFlat1,sFlat2))),
inference(cp,[status(thm)],[t170747,t57440]) ).
cnf(t31419,plain,
multiply(sFlat1,multiply(sFlat3,sFlat1)) = multiply(sFlat3,multiply(sFlat1,multiply(sFlat1,commutator(sFlat1,a)))),
inference(cp,[status(thm)],[t31399,t6183]) ).
cnf(t35917,plain,
multiply(sFlat3,multiply(sFlat1,multiply(sFlat1,commutator(sFlat1,a)))) = multiply(sFlat1,multiply(sFlat3,sFlat1)),
inference(orient,[status(thm)],[t31419]) ).
cnf(t54452,plain,
multiply(sFlat3,multiply(sFlat4,multiply(sFlat1,commutator(sFlat1,a)))) = multiply(sFlat0,multiply(sFlat1,multiply(sFlat3,sFlat1))),
inference(cp,[status(thm)],[t54440,t35917]) ).
cnf(t21712,plain,
multiply(sFlat3,multiply(sFlat4,multiply(sFlat1,commutator(sFlat1,a)))) = multiply(sFlat4,multiply(sFlat1,sFlat3)),
inference(cp,[status(thm)],[t3875,t21691]) ).
cnf(t31347,plain,
multiply(sFlat3,multiply(sFlat4,multiply(sFlat1,commutator(sFlat1,a)))) = multiply(sFlat4,multiply(sFlat1,sFlat3)),
inference(orient,[status(thm)],[t21712]) ).
cnf(t263523,plain,
multiply(sFlat4,multiply(sFlat1,sFlat3)) = multiply(sFlat0,multiply(sFlat1,multiply(sFlat3,sFlat1))),
inference(step,[status(thm)],[t54452,t31347]) ).
cnf(t263524,plain,
multiply(sFlat1,multiply(sFlat4,sFlat3)) = multiply(sFlat0,multiply(sFlat1,multiply(sFlat3,sFlat1))),
inference(step,[status(thm)],[t263523,t37138]) ).
cnf(t263525,plain,
multiply(sFlat1,multiply(sFlat3,sFlat4)) = multiply(sFlat0,multiply(sFlat1,multiply(sFlat3,sFlat1))),
inference(step,[status(thm)],[t263524,t3693]) ).
cnf(t263526,plain,
multiply(sFlat1,multiply(sFlat3,sFlat4)) = multiply(sFlat2,multiply(sFlat3,sFlat1)),
inference(step,[status(thm)],[t263525,t88]) ).
cnf(t54593,plain,
multiply(sFlat2,multiply(sFlat3,sFlat1)) = multiply(sFlat1,multiply(sFlat3,sFlat4)),
inference(orient,[status(thm)],[t263526]) ).
cnf(t54615,plain,
multiply(sFlat2,multiply(c,multiply(sFlat3,sFlat1))) = multiply(c,multiply(sFlat1,multiply(sFlat3,sFlat4))),
inference(cp,[status(thm)],[t5264,t54593]) ).
cnf(t263580,plain,
multiply(sFlat2,multiply(c,multiply(sFlat3,sFlat1))) = multiply(sFlat1,multiply(c,multiply(sFlat3,sFlat4))),
inference(step,[status(thm)],[t54615,t5067]) ).
cnf(t263581,plain,
multiply(sFlat2,multiply(c,multiply(sFlat3,sFlat1))) = multiply(sFlat1,multiply(sFlat3,c)),
inference(step,[status(thm)],[t263580,t66]) ).
cnf(t56612,plain,
multiply(sFlat2,multiply(c,multiply(sFlat3,sFlat1))) = multiply(sFlat1,multiply(sFlat3,c)),
inference(orient,[status(thm)],[t263581]) ).
cnf(t266735,plain,
multiply(sFlat1,multiply(sFlat3,c)) = multiply(c,multiply(sFlat3,multiply(sFlat1,sFlat2))),
inference(step,[status(thm)],[t170945,t56612]) ).
cnf(t171106,plain,
multiply(c,multiply(sFlat3,multiply(sFlat1,sFlat2))) = multiply(sFlat1,multiply(sFlat3,c)),
inference(orient,[status(thm)],[t266735]) ).
cnf(t171109,plain,
multiply(c,multiply(commutator(sFlat2,sFlat3),multiply(sFlat3,multiply(sFlat1,sFlat2)))) = multiply(commutator(sFlat2,sFlat3),multiply(sFlat1,multiply(sFlat3,c))),
inference(cp,[status(thm)],[t137648,t171106]) ).
cnf(t266748,plain,
multiply(c,multiply(sFlat3,multiply(commutator(sFlat2,sFlat3),multiply(sFlat1,sFlat2)))) = multiply(commutator(sFlat2,sFlat3),multiply(sFlat1,multiply(sFlat3,c))),
inference(step,[status(thm)],[t171109,t13712]) ).
cnf(t57460,plain,
multiply(sFlat2,multiply(commutator(sFlat2,X1),sFlat1)) = multiply(commutator(sFlat2,X1),multiply(sFlat1,sFlat2)),
inference(cp,[status(thm)],[t10164,t57440]) ).
cnf(t67046,plain,
multiply(commutator(sFlat2,X1),multiply(sFlat1,sFlat2)) = multiply(sFlat2,multiply(commutator(sFlat2,X1),sFlat1)),
inference(orient,[status(thm)],[t57460]) ).
cnf(t266749,plain,
multiply(c,multiply(sFlat3,multiply(sFlat2,multiply(commutator(sFlat2,sFlat3),sFlat1)))) = multiply(commutator(sFlat2,sFlat3),multiply(sFlat1,multiply(sFlat3,c))),
inference(step,[status(thm)],[t266748,t67046]) ).
cnf(t266750,plain,
multiply(c,multiply(sFlat2,multiply(sFlat3,sFlat1))) = multiply(commutator(sFlat2,sFlat3),multiply(sFlat1,multiply(sFlat3,c))),
inference(step,[status(thm)],[t266749,t252]) ).
cnf(t266751,plain,
multiply(c,multiply(sFlat1,multiply(sFlat3,sFlat4))) = multiply(commutator(sFlat2,sFlat3),multiply(sFlat1,multiply(sFlat3,c))),
inference(step,[status(thm)],[t266750,t54593]) ).
cnf(t266752,plain,
multiply(sFlat1,multiply(c,multiply(sFlat3,sFlat4))) = multiply(commutator(sFlat2,sFlat3),multiply(sFlat1,multiply(sFlat3,c))),
inference(step,[status(thm)],[t266751,t5067]) ).
cnf(t266753,plain,
multiply(sFlat1,multiply(sFlat3,c)) = multiply(commutator(sFlat2,sFlat3),multiply(sFlat1,multiply(sFlat3,c))),
inference(step,[status(thm)],[t266752,t66]) ).
cnf(t171549,plain,
multiply(commutator(sFlat2,sFlat3),multiply(sFlat1,multiply(sFlat3,c))) = multiply(sFlat1,multiply(sFlat3,c)),
inference(orient,[status(thm)],[t266753]) ).
cnf(t171552,plain,
commutator(X1,X1) = ifeq(multiply(sFlat1,multiply(sFlat3,c)),multiply(sFlat1,multiply(sFlat3,c)),commutator(sFlat2,sFlat3),commutator(X1,X1)),
inference(cp,[status(thm)],[t18301,t171549]) ).
cnf(t266754,plain,
commutator(X1,X1) = commutator(sFlat2,sFlat3),
inference(step,[status(thm)],[t171552,t11]) ).
cnf(t171593,plain,
commutator(X1,X1) = commutator(sFlat2,sFlat3),
inference(orient,[status(thm)],[t266754]) ).
cnf(t171942,plain,
X1 = ifeq(multiply(sFlat2,sFlat3),multiply(sFlat3,X1),multiply(sFlat2,commutator(X2,X2)),X1),
inference(cp,[status(thm)],[t309,t171593]) ).
cnf(t4557,plain,
sFlat2 = multiply(sFlat2,commutator(X1,X1)),
inference(cp,[status(thm)],[t2413,t4526]) ).
cnf(t4839,plain,
multiply(sFlat2,commutator(X1,X1)) = sFlat2,
inference(orient,[status(thm)],[t4557]) ).
cnf(t266845,plain,
X1 = ifeq(multiply(sFlat2,sFlat3),multiply(sFlat3,X1),sFlat2,X1),
inference(step,[status(thm)],[t171942,t4839]) ).
cnf(t173910,plain,
ifeq(multiply(sFlat2,sFlat3),multiply(sFlat3,X1),sFlat2,X1) = X1,
inference(orient,[status(thm)],[t266845]) ).
cnf(t91549,plain,
multiply(sFlat2,commutator(sFlat0,multiply(commutator(b,a),sFlat1))) = multiply(commutator(a,b),multiply(sFlat0,multiply(commutator(b,a),sFlat1))),
inference(cp,[status(thm)],[t15388,t91343]) ).
cnf(t264709,plain,
multiply(sFlat2,commutator(sFlat0,multiply(sFlat1,commutator(b,a)))) = multiply(commutator(a,b),multiply(sFlat0,multiply(commutator(b,a),sFlat1))),
inference(step,[status(thm)],[t91549,t44581]) ).
cnf(t264710,plain,
multiply(sFlat2,commutator(sFlat0,multiply(sFlat1,commutator(b,a)))) = multiply(sFlat0,multiply(commutator(a,b),multiply(commutator(b,a),sFlat1))),
inference(step,[status(thm)],[t264709,t48557]) ).
cnf(t264711,plain,
multiply(sFlat2,commutator(sFlat0,multiply(sFlat1,commutator(b,a)))) = multiply(sFlat0,sFlat1),
inference(step,[status(thm)],[t264710,t15388]) ).
cnf(t264712,plain,
multiply(sFlat2,commutator(sFlat0,multiply(sFlat1,commutator(b,a)))) = sFlat2,
inference(step,[status(thm)],[t264711,t51]) ).
cnf(t92117,plain,
multiply(sFlat2,commutator(sFlat0,multiply(sFlat1,commutator(b,a)))) = sFlat2,
inference(orient,[status(thm)],[t264712]) ).
cnf(t92140,plain,
commutator(sFlat2,sFlat2) = ifeq(sFlat2,sFlat2,commutator(sFlat0,multiply(sFlat1,commutator(b,a))),commutator(X1,X1)),
inference(cp,[status(thm)],[t18015,t92117]) ).
cnf(t264713,plain,
commutator(sFlat0,a) = ifeq(sFlat2,sFlat2,commutator(sFlat0,multiply(sFlat1,commutator(b,a))),commutator(X1,X1)),
inference(step,[status(thm)],[t92140,t47437]) ).
cnf(t264714,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat2,sFlat2,commutator(sFlat0,multiply(sFlat1,commutator(b,a))),commutator(X1,X1)),
inference(step,[status(thm)],[t264713,t47437]) ).
cnf(t264715,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat0,multiply(sFlat1,commutator(b,a))),
inference(step,[status(thm)],[t264714,t11]) ).
cnf(t92180,plain,
commutator(sFlat0,multiply(sFlat1,commutator(b,a))) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t264715]) ).
cnf(t92182,plain,
multiply(sFlat0,multiply(sFlat1,commutator(b,a))) = multiply(multiply(sFlat1,commutator(b,a)),multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t92180]) ).
cnf(t264716,plain,
multiply(sFlat2,commutator(b,a)) = multiply(multiply(sFlat1,commutator(b,a)),multiply(sFlat0,commutator(sFlat0,sFlat0))),
inference(step,[status(thm)],[t92182,t88]) ).
cnf(t264717,plain,
multiply(sFlat2,commutator(b,a)) = multiply(sFlat1,multiply(commutator(b,a),multiply(sFlat0,commutator(sFlat0,sFlat0)))),
inference(step,[status(thm)],[t264716,t19]) ).
cnf(t264718,plain,
multiply(sFlat2,commutator(b,a)) = multiply(sFlat1,multiply(commutator(b,a),sFlat0)),
inference(step,[status(thm)],[t264717,t4967]) ).
cnf(t57390,plain,
multiply(sFlat1,multiply(commutator(b,a),sFlat0)) = multiply(commutator(b,a),sFlat2),
inference(cp,[status(thm)],[t44995,t57372]) ).
cnf(t60003,plain,
multiply(sFlat1,multiply(commutator(b,a),sFlat0)) = multiply(commutator(b,a),sFlat2),
inference(orient,[status(thm)],[t57390]) ).
cnf(t264719,plain,
multiply(sFlat2,commutator(b,a)) = multiply(commutator(b,a),sFlat2),
inference(step,[status(thm)],[t264718,t60003]) ).
cnf(t92201,plain,
multiply(commutator(b,a),sFlat2) = multiply(sFlat2,commutator(b,a)),
inference(orient,[status(thm)],[t264719]) ).
cnf(t92210,plain,
multiply(commutator(b,a),multiply(sFlat2,X1)) = multiply(multiply(sFlat2,commutator(b,a)),X1),
inference(cp,[status(thm)],[t19,t92201]) ).
cnf(t264725,plain,
multiply(commutator(b,a),multiply(sFlat2,X1)) = multiply(sFlat2,multiply(commutator(b,a),X1)),
inference(step,[status(thm)],[t92210,t19]) ).
cnf(t92504,plain,
multiply(commutator(b,a),multiply(sFlat2,X1)) = multiply(sFlat2,multiply(commutator(b,a),X1)),
inference(orient,[status(thm)],[t264725]) ).
cnf(t92569,plain,
multiply(sFlat2,multiply(commutator(b,a),commutator(sFlat0,sFlat3))) = multiply(commutator(b,a),sFlat4),
inference(cp,[status(thm)],[t92504,t58891]) ).
cnf(t57291,plain,
commutator(sFlat0,commutator(sFlat3,b)) = commutator(sFlat0,commutator(c,sFlat4)),
inference(cp,[status(thm)],[t57261,t36559]) ).
cnf(t263759,plain,
commutator(sFlat0,commutator(sFlat3,b)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t57291,t6169]) ).
cnf(t57633,plain,
commutator(sFlat0,commutator(sFlat3,b)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263759]) ).
cnf(t57634,plain,
commutator(sFlat0,commutator(commutator(sFlat3,b),X1)) = commutator(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t39,t57633]) ).
cnf(t263858,plain,
commutator(sFlat0,commutator(sFlat3,commutator(b,X1))) = commutator(commutator(sFlat0,sFlat0),X1),
inference(step,[status(thm)],[t57634,t39]) ).
cnf(t263859,plain,
commutator(sFlat0,commutator(sFlat3,commutator(b,X1))) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t263858,t39]) ).
cnf(t263860,plain,
commutator(sFlat0,commutator(sFlat3,commutator(b,X1))) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t263859,t6552]) ).
cnf(t60113,plain,
commutator(sFlat0,commutator(sFlat3,commutator(b,X1))) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263860]) ).
cnf(t60152,plain,
multiply(commutator(sFlat0,sFlat3),commutator(b,X1)) = multiply(commutator(b,X1),multiply(commutator(sFlat0,sFlat3),commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t9628,t60113]) ).
cnf(t264078,plain,
multiply(commutator(sFlat0,sFlat3),commutator(b,X1)) = multiply(commutator(b,X1),commutator(sFlat0,sFlat3)),
inference(step,[status(thm)],[t60152,t4967]) ).
cnf(t70786,plain,
multiply(commutator(b,X1),commutator(sFlat0,sFlat3)) = multiply(commutator(sFlat0,sFlat3),commutator(b,X1)),
inference(orient,[status(thm)],[t264078]) ).
cnf(t264726,plain,
multiply(sFlat2,multiply(commutator(sFlat0,sFlat3),commutator(b,a))) = multiply(commutator(b,a),sFlat4),
inference(step,[status(thm)],[t92569,t70786]) ).
cnf(t264727,plain,
multiply(sFlat4,commutator(b,a)) = multiply(commutator(b,a),sFlat4),
inference(step,[status(thm)],[t264726,t59481]) ).
cnf(t92687,plain,
multiply(commutator(b,a),sFlat4) = multiply(sFlat4,commutator(b,a)),
inference(orient,[status(thm)],[t264727]) ).
cnf(t92715,plain,
multiply(b,multiply(a,sFlat4)) = multiply(sFlat3,multiply(sFlat4,commutator(b,a))),
inference(cp,[status(thm)],[t175,t92687]) ).
cnf(t264728,plain,
multiply(b,multiply(a,sFlat4)) = multiply(sFlat4,multiply(b,a)),
inference(step,[status(thm)],[t92715,t6957]) ).
cnf(t92722,plain,
multiply(b,multiply(a,sFlat4)) = multiply(sFlat4,multiply(b,a)),
inference(orient,[status(thm)],[t264728]) ).
cnf(t92743,plain,
multiply(b,multiply(multiply(a,sFlat4),X1)) = multiply(multiply(sFlat4,multiply(b,a)),X1),
inference(cp,[status(thm)],[t19,t92722]) ).
cnf(t264750,plain,
multiply(b,multiply(a,multiply(sFlat4,X1))) = multiply(multiply(sFlat4,multiply(b,a)),X1),
inference(step,[status(thm)],[t92743,t19]) ).
cnf(t264751,plain,
multiply(b,multiply(a,multiply(sFlat4,X1))) = multiply(sFlat4,multiply(multiply(b,a),X1)),
inference(step,[status(thm)],[t264750,t19]) ).
cnf(t264752,plain,
multiply(b,multiply(a,multiply(sFlat4,X1))) = multiply(sFlat4,multiply(b,multiply(a,X1))),
inference(step,[status(thm)],[t264751,t19]) ).
cnf(t93518,plain,
multiply(b,multiply(a,multiply(sFlat4,X1))) = multiply(sFlat4,multiply(b,multiply(a,X1))),
inference(orient,[status(thm)],[t264752]) ).
cnf(t93528,plain,
multiply(sFlat4,multiply(b,multiply(a,commutator(sFlat4,a)))) = multiply(b,multiply(sFlat4,a)),
inference(cp,[status(thm)],[t93518,t14]) ).
cnf(t265183,plain,
multiply(sFlat4,multiply(b,multiply(a,commutator(sFlat4,a)))) = multiply(sFlat2,multiply(b,a)),
inference(step,[status(thm)],[t93528,t52881]) ).
cnf(t110728,plain,
multiply(sFlat4,multiply(b,multiply(a,commutator(sFlat4,a)))) = multiply(sFlat2,multiply(b,a)),
inference(orient,[status(thm)],[t265183]) ).
cnf(t110731,plain,
multiply(sFlat4,multiply(commutator(a,b),multiply(b,multiply(a,commutator(sFlat4,a))))) = multiply(commutator(a,b),multiply(sFlat2,multiply(b,a))),
inference(cp,[status(thm)],[t103955,t110728]) ).
cnf(t265184,plain,
multiply(sFlat4,multiply(b,multiply(commutator(a,b),multiply(a,commutator(sFlat4,a))))) = multiply(commutator(a,b),multiply(sFlat2,multiply(b,a))),
inference(step,[status(thm)],[t110731,t13712]) ).
cnf(t265185,plain,
multiply(sFlat4,multiply(b,multiply(a,multiply(commutator(a,b),commutator(sFlat4,a))))) = multiply(commutator(a,b),multiply(sFlat2,multiply(b,a))),
inference(step,[status(thm)],[t265184,t10164]) ).
cnf(t265186,plain,
multiply(sFlat4,multiply(a,multiply(b,commutator(sFlat4,a)))) = multiply(commutator(a,b),multiply(sFlat2,multiply(b,a))),
inference(step,[status(thm)],[t265185,t252]) ).
cnf(t265187,plain,
multiply(sFlat4,multiply(sFlat3,commutator(sFlat4,a))) = multiply(commutator(a,b),multiply(sFlat2,multiply(b,a))),
inference(step,[status(thm)],[t265186,t57]) ).
cnf(t265188,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat4,a))) = multiply(commutator(a,b),multiply(sFlat2,multiply(b,a))),
inference(step,[status(thm)],[t265187,t3875]) ).
cnf(t265189,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat4,a))) = multiply(sFlat2,multiply(commutator(a,b),multiply(b,a))),
inference(step,[status(thm)],[t265188,t71116]) ).
cnf(t265190,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat4,a))) = multiply(sFlat2,multiply(b,multiply(commutator(a,b),a))),
inference(step,[status(thm)],[t265189,t13712]) ).
cnf(t265191,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat4,a))) = multiply(sFlat2,multiply(b,multiply(a,commutator(a,b)))),
inference(step,[status(thm)],[t265190,t5696]) ).
cnf(t265192,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat4,a))) = multiply(sFlat2,multiply(a,b)),
inference(step,[status(thm)],[t265191,t14]) ).
cnf(t265193,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat4,a))) = multiply(sFlat2,sFlat3),
inference(step,[status(thm)],[t265192,t33]) ).
cnf(t110799,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat4,a))) = multiply(sFlat2,sFlat3),
inference(orient,[status(thm)],[t265193]) ).
cnf(t173965,plain,
multiply(sFlat4,commutator(sFlat4,a)) = ifeq(multiply(sFlat2,sFlat3),multiply(sFlat2,sFlat3),sFlat2,multiply(sFlat4,commutator(sFlat4,a))),
inference(cp,[status(thm)],[t173910,t110799]) ).
cnf(t266846,plain,
multiply(sFlat4,commutator(sFlat4,a)) = sFlat2,
inference(step,[status(thm)],[t173965,t11]) ).
cnf(t174129,plain,
multiply(sFlat4,commutator(sFlat4,a)) = sFlat2,
inference(orient,[status(thm)],[t266846]) ).
cnf(t174169,plain,
multiply(sFlat4,a) = multiply(a,sFlat2),
inference(cp,[status(thm)],[t14,t174129]) ).
cnf(t174219,plain,
multiply(a,sFlat2) = multiply(sFlat4,a),
inference(orient,[status(thm)],[t174169]) ).
cnf(t266847,plain,
multiply(a,multiply(sFlat1,c)) = multiply(c,multiply(sFlat4,a)),
inference(step,[status(thm)],[t5118,t174219]) ).
cnf(t266848,plain,
multiply(a,multiply(sFlat1,c)) = multiply(sFlat4,multiply(c,a)),
inference(step,[status(thm)],[t266847,t6690]) ).
cnf(t174220,plain,
multiply(a,multiply(sFlat1,c)) = multiply(sFlat4,multiply(c,a)),
inference(orient,[status(thm)],[t266848]) ).
cnf(t257160,plain,
multiply(sFlat4,multiply(b,multiply(a,c))) = multiply(sFlat0,multiply(b,multiply(sFlat4,multiply(c,a)))),
inference(cp,[status(thm)],[t257144,t174220]) ).
cnf(t268366,plain,
multiply(sFlat4,multiply(b,multiply(a,c))) = multiply(sFlat0,multiply(sFlat2,multiply(b,multiply(c,a)))),
inference(step,[status(thm)],[t257160,t52881]) ).
cnf(t23813,plain,
multiply(sFlat3,multiply(c,multiply(commutator(sFlat1,sFlat3),X1))) = multiply(sFlat0,multiply(c,multiply(sFlat1,multiply(sFlat3,X1)))),
inference(cp,[status(thm)],[t23804,t252]) ).
cnf(t268244,plain,
multiply(sFlat3,multiply(c,multiply(commutator(sFlat1,sFlat3),X1))) = multiply(sFlat0,multiply(sFlat1,multiply(c,multiply(sFlat3,X1)))),
inference(step,[status(thm)],[t23813,t5067]) ).
cnf(t268245,plain,
multiply(sFlat3,multiply(c,multiply(commutator(sFlat1,sFlat3),X1))) = multiply(sFlat2,multiply(c,multiply(sFlat3,X1))),
inference(step,[status(thm)],[t268244,t88]) ).
cnf(t247633,plain,
multiply(sFlat3,multiply(c,multiply(commutator(sFlat1,sFlat3),X1))) = multiply(sFlat2,multiply(c,multiply(sFlat3,X1))),
inference(orient,[status(thm)],[t268245]) ).
cnf(t9691,plain,
multiply(commutator(X1,a),c) = multiply(c,multiply(commutator(X1,a),commutator(X1,sFlat0))),
inference(cp,[status(thm)],[t9628,t44]) ).
cnf(t25535,plain,
multiply(c,multiply(commutator(X1,a),commutator(X1,sFlat0))) = multiply(commutator(X1,a),c),
inference(orient,[status(thm)],[t9691]) ).
cnf(t14738,plain,
multiply(commutator(sFlat0,sFlat1),multiply(commutator(sFlat1,sFlat0),X1)) = multiply(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t19,t14730]) ).
cnf(t262306,plain,
multiply(commutator(sFlat0,sFlat1),multiply(commutator(sFlat1,sFlat0),X1)) = X1,
inference(step,[status(thm)],[t14738,t4930]) ).
cnf(t14757,plain,
multiply(commutator(sFlat0,sFlat1),multiply(commutator(sFlat1,sFlat0),X1)) = X1,
inference(orient,[status(thm)],[t262306]) ).
cnf(t4969,plain,
X1 = multiply(X1,commutator(X2,commutator(X3,commutator(X2,X3)))),
inference(cp,[status(thm)],[t4967,t39]) ).
cnf(t9156,plain,
multiply(X1,commutator(X2,commutator(X3,commutator(X2,X3)))) = X1,
inference(orient,[status(thm)],[t4969]) ).
cnf(t14769,plain,
commutator(X1,commutator(X2,commutator(X1,X2))) = multiply(commutator(sFlat0,sFlat1),commutator(sFlat1,sFlat0)),
inference(cp,[status(thm)],[t14757,t9156]) ).
cnf(t262316,plain,
commutator(X1,commutator(X2,commutator(X1,X2))) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t14769,t14730]) ).
cnf(t15034,plain,
commutator(X1,commutator(X2,commutator(X1,X2))) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262316]) ).
cnf(t15069,plain,
commutator(X1,commutator(commutator(X2,commutator(X1,X2)),X3)) = commutator(commutator(sFlat0,sFlat0),X3),
inference(cp,[status(thm)],[t39,t15034]) ).
cnf(t262641,plain,
commutator(X1,commutator(X2,commutator(commutator(X1,X2),X3))) = commutator(commutator(sFlat0,sFlat0),X3),
inference(step,[status(thm)],[t15069,t39]) ).
cnf(t262642,plain,
commutator(X1,commutator(X2,commutator(X1,commutator(X2,X3)))) = commutator(commutator(sFlat0,sFlat0),X3),
inference(step,[status(thm)],[t262641,t39]) ).
cnf(t262643,plain,
commutator(X1,commutator(X2,commutator(X1,commutator(X2,X3)))) = commutator(sFlat0,commutator(sFlat0,X3)),
inference(step,[status(thm)],[t262642,t39]) ).
cnf(t262644,plain,
commutator(X1,commutator(X2,commutator(X1,commutator(X2,X3)))) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t262643,t6552]) ).
cnf(t27952,plain,
commutator(X1,commutator(X2,commutator(X1,commutator(X2,X3)))) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262644]) ).
cnf(t28032,plain,
commutator(sFlat0,sFlat0) = commutator(X1,commutator(a,commutator(X1,sFlat0))),
inference(cp,[status(thm)],[t27952,t44]) ).
cnf(t28194,plain,
commutator(X1,commutator(a,commutator(X1,sFlat0))) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t28032]) ).
cnf(t28260,plain,
multiply(commutator(X1,a),commutator(X1,sFlat0)) = multiply(commutator(X1,sFlat0),multiply(commutator(X1,a),commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t9628,t28194]) ).
cnf(t262655,plain,
multiply(commutator(X1,a),commutator(X1,sFlat0)) = multiply(commutator(X1,sFlat0),commutator(X1,a)),
inference(step,[status(thm)],[t28260,t4967]) ).
cnf(t28513,plain,
multiply(commutator(X1,a),commutator(X1,sFlat0)) = multiply(commutator(X1,sFlat0),commutator(X1,a)),
inference(orient,[status(thm)],[t262655]) ).
cnf(t262656,plain,
multiply(c,multiply(commutator(X1,sFlat0),commutator(X1,a))) = multiply(commutator(X1,a),c),
inference(step,[status(thm)],[t25535,t28513]) ).
cnf(t28542,plain,
multiply(c,multiply(commutator(X1,sFlat0),commutator(X1,a))) = multiply(commutator(X1,a),c),
inference(rw,[status(thm)],[t262656]) ).
cnf(t34818,plain,
multiply(c,multiply(commutator(X1,sFlat0),commutator(X1,a))) = multiply(commutator(X1,a),c),
inference(orient,[status(thm)],[t28542]) ).
cnf(t6340,plain,
multiply(sFlat0,multiply(a,multiply(X1,commutator(X1,sFlat0)))) = multiply(a,multiply(X1,sFlat0)),
inference(cp,[status(thm)],[t6333,t14]) ).
cnf(t22735,plain,
multiply(sFlat0,multiply(a,multiply(X1,commutator(X1,sFlat0)))) = multiply(a,multiply(X1,sFlat0)),
inference(orient,[status(thm)],[t6340]) ).
cnf(t22736,plain,
multiply(a,multiply(b,sFlat0)) = multiply(sFlat0,multiply(sFlat3,commutator(b,sFlat0))),
inference(cp,[status(thm)],[t22735,t57]) ).
cnf(t262496,plain,
multiply(sFlat3,sFlat0) = multiply(sFlat0,multiply(sFlat3,commutator(b,sFlat0))),
inference(step,[status(thm)],[t22736,t57]) ).
cnf(t22779,plain,
multiply(sFlat0,multiply(sFlat3,commutator(b,sFlat0))) = multiply(sFlat3,sFlat0),
inference(orient,[status(thm)],[t262496]) ).
cnf(t22795,plain,
multiply(sFlat0,multiply(multiply(sFlat3,commutator(b,sFlat0)),X1)) = multiply(multiply(sFlat3,sFlat0),X1),
inference(cp,[status(thm)],[t19,t22779]) ).
cnf(t262785,plain,
multiply(sFlat0,multiply(sFlat3,multiply(commutator(b,sFlat0),X1))) = multiply(multiply(sFlat3,sFlat0),X1),
inference(step,[status(thm)],[t22795,t19]) ).
cnf(t262786,plain,
multiply(sFlat0,multiply(sFlat3,multiply(commutator(b,sFlat0),X1))) = multiply(sFlat3,multiply(sFlat0,X1)),
inference(step,[status(thm)],[t262785,t19]) ).
cnf(t32248,plain,
multiply(sFlat0,multiply(sFlat3,multiply(commutator(b,sFlat0),X1))) = multiply(sFlat3,multiply(sFlat0,X1)),
inference(orient,[status(thm)],[t262786]) ).
cnf(t54463,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat1,b))) = multiply(sFlat0,multiply(a,multiply(sFlat1,b))),
inference(cp,[status(thm)],[t54440,t127]) ).
cnf(t263528,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat1,b))) = multiply(a,multiply(sFlat2,b)),
inference(step,[status(thm)],[t54463,t7510]) ).
cnf(t7513,plain,
multiply(a,multiply(sFlat2,b)) = multiply(sFlat0,multiply(sFlat3,sFlat1)),
inference(cp,[status(thm)],[t7510,t3776]) ).
cnf(t7553,plain,
multiply(a,multiply(sFlat2,b)) = multiply(sFlat0,multiply(sFlat3,sFlat1)),
inference(orient,[status(thm)],[t7513]) ).
cnf(t263444,plain,
multiply(a,multiply(sFlat2,b)) = multiply(sFlat3,sFlat4),
inference(step,[status(thm)],[t7553,t52773]) ).
cnf(t52774,plain,
multiply(a,multiply(sFlat2,b)) = multiply(sFlat3,sFlat4),
inference(orient,[status(thm)],[t263444]) ).
cnf(t263529,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat1,b))) = multiply(sFlat3,sFlat4),
inference(step,[status(thm)],[t263528,t52774]) ).
cnf(t54699,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat1,b))) = multiply(sFlat3,sFlat4),
inference(orient,[status(thm)],[t263529]) ).
cnf(t54726,plain,
multiply(sFlat4,commutator(sFlat1,b)) = ifeq(multiply(sFlat3,c),multiply(c,multiply(sFlat3,sFlat4)),sFlat4,multiply(sFlat4,commutator(sFlat1,b))),
inference(cp,[status(thm)],[t52469,t54699]) ).
cnf(t263530,plain,
multiply(sFlat4,commutator(sFlat1,b)) = ifeq(multiply(sFlat3,c),multiply(sFlat3,c),sFlat4,multiply(sFlat4,commutator(sFlat1,b))),
inference(step,[status(thm)],[t54726,t66]) ).
cnf(t263531,plain,
multiply(sFlat4,commutator(sFlat1,b)) = sFlat4,
inference(step,[status(thm)],[t263530,t11]) ).
cnf(t54751,plain,
multiply(sFlat4,commutator(sFlat1,b)) = sFlat4,
inference(orient,[status(thm)],[t263531]) ).
cnf(t54763,plain,
commutator(sFlat4,sFlat4) = ifeq(sFlat4,sFlat4,commutator(sFlat1,b),commutator(X1,X1)),
inference(cp,[status(thm)],[t18015,t54751]) ).
cnf(t263534,plain,
commutator(sFlat0,a) = ifeq(sFlat4,sFlat4,commutator(sFlat1,b),commutator(X1,X1)),
inference(step,[status(thm)],[t54763,t47437]) ).
cnf(t263535,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat4,sFlat4,commutator(sFlat1,b),commutator(X1,X1)),
inference(step,[status(thm)],[t263534,t47437]) ).
cnf(t263536,plain,
commutator(sFlat0,sFlat0) = commutator(sFlat1,b),
inference(step,[status(thm)],[t263535,t11]) ).
cnf(t54791,plain,
commutator(sFlat1,b) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263536]) ).
cnf(t54794,plain,
commutator(sFlat1,commutator(b,X1)) = commutator(commutator(sFlat0,sFlat0),X1),
inference(cp,[status(thm)],[t39,t54791]) ).
cnf(t263539,plain,
commutator(sFlat1,commutator(b,X1)) = commutator(sFlat0,commutator(sFlat0,X1)),
inference(step,[status(thm)],[t54794,t39]) ).
cnf(t263540,plain,
commutator(sFlat1,commutator(b,X1)) = commutator(sFlat0,sFlat0),
inference(step,[status(thm)],[t263539,t6552]) ).
cnf(t54814,plain,
commutator(sFlat1,commutator(b,X1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t263540]) ).
cnf(t54841,plain,
multiply(sFlat1,commutator(b,X1)) = multiply(commutator(b,X1),multiply(sFlat1,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t54814]) ).
cnf(t263543,plain,
multiply(sFlat1,commutator(b,X1)) = multiply(commutator(b,X1),sFlat1),
inference(step,[status(thm)],[t54841,t2395]) ).
cnf(t54870,plain,
multiply(commutator(b,X1),sFlat1) = multiply(sFlat1,commutator(b,X1)),
inference(orient,[status(thm)],[t263543]) ).
cnf(t54905,plain,
multiply(sFlat3,multiply(sFlat0,sFlat1)) = multiply(sFlat0,multiply(sFlat3,multiply(sFlat1,commutator(b,sFlat0)))),
inference(cp,[status(thm)],[t32248,t54870]) ).
cnf(t263550,plain,
multiply(sFlat3,sFlat2) = multiply(sFlat0,multiply(sFlat3,multiply(sFlat1,commutator(b,sFlat0)))),
inference(step,[status(thm)],[t54905,t51]) ).
cnf(t263551,plain,
multiply(sFlat3,sFlat2) = multiply(sFlat3,multiply(sFlat4,commutator(b,sFlat0))),
inference(step,[status(thm)],[t263550,t54440]) ).
cnf(t55044,plain,
multiply(sFlat3,multiply(sFlat4,commutator(b,sFlat0))) = multiply(sFlat3,sFlat2),
inference(orient,[status(thm)],[t263551]) ).
cnf(t171934,plain,
multiply(sFlat2,sFlat3) = multiply(sFlat3,multiply(sFlat2,commutator(X1,X1))),
inference(cp,[status(thm)],[t14,t171593]) ).
cnf(t266755,plain,
multiply(sFlat2,sFlat3) = multiply(sFlat3,sFlat2),
inference(step,[status(thm)],[t171934,t4839]) ).
cnf(t171993,plain,
multiply(sFlat3,sFlat2) = multiply(sFlat2,sFlat3),
inference(orient,[status(thm)],[t266755]) ).
cnf(t266760,plain,
multiply(sFlat3,multiply(sFlat4,commutator(b,sFlat0))) = multiply(sFlat2,sFlat3),
inference(step,[status(thm)],[t55044,t171993]) ).
cnf(t171998,plain,
multiply(sFlat3,multiply(sFlat4,commutator(b,sFlat0))) = multiply(sFlat2,sFlat3),
inference(orient,[status(thm)],[t266760]) ).
cnf(t174028,plain,
multiply(sFlat4,commutator(b,sFlat0)) = ifeq(multiply(sFlat2,sFlat3),multiply(sFlat2,sFlat3),sFlat2,multiply(sFlat4,commutator(b,sFlat0))),
inference(cp,[status(thm)],[t173910,t171998]) ).
cnf(t266930,plain,
multiply(sFlat4,commutator(b,sFlat0)) = sFlat2,
inference(step,[status(thm)],[t174028,t11]) ).
cnf(t174380,plain,
multiply(sFlat4,commutator(b,sFlat0)) = sFlat2,
inference(orient,[status(thm)],[t266930]) ).
cnf(t174383,plain,
X1 = ifeq(sFlat2,multiply(sFlat4,X1),commutator(b,sFlat0),X1),
inference(cp,[status(thm)],[t12,t174380]) ).
cnf(t182685,plain,
ifeq(sFlat2,multiply(sFlat4,X1),commutator(b,sFlat0),X1) = X1,
inference(orient,[status(thm)],[t174383]) ).
cnf(t174246,plain,
X1 = ifeq(multiply(sFlat4,a),multiply(a,X1),sFlat2,X1),
inference(cp,[status(thm)],[t12,t174219]) ).
cnf(t181385,plain,
ifeq(multiply(sFlat4,a),multiply(a,X1),sFlat2,X1) = X1,
inference(orient,[status(thm)],[t174246]) ).
cnf(t4546,plain,
X1 = ifeq(X2,multiply(X1,X2),commutator(X3,X3),X1),
inference(cp,[status(thm)],[t2919,t4526]) ).
cnf(t7985,plain,
ifeq(X1,multiply(X2,X1),commutator(X3,X3),X2) = X2,
inference(orient,[status(thm)],[t4546]) ).
cnf(t10443,plain,
multiply(a,multiply(X1,b)) = multiply(X1,multiply(commutator(a,X1),sFlat3)),
inference(cp,[status(thm)],[t252,t10407]) ).
cnf(t10727,plain,
multiply(X1,multiply(commutator(a,X1),sFlat3)) = multiply(a,multiply(X1,b)),
inference(orient,[status(thm)],[t10443]) ).
cnf(t14765,plain,
multiply(commutator(a,commutator(sFlat1,sFlat0)),sFlat3) = multiply(commutator(sFlat0,sFlat1),multiply(a,multiply(commutator(sFlat1,sFlat0),b))),
inference(cp,[status(thm)],[t14757,t10727]) ).
cnf(t6186,plain,
multiply(a,commutator(a,commutator(c,X1))) = multiply(commutator(sFlat0,X1),a),
inference(cp,[status(thm)],[t6183,t72]) ).
cnf(t262091,plain,
multiply(a,commutator(sFlat0,X1)) = multiply(commutator(sFlat0,X1),a),
inference(step,[status(thm)],[t6186,t72]) ).
cnf(t6292,plain,
multiply(commutator(sFlat0,X1),a) = multiply(a,commutator(sFlat0,X1)),
inference(orient,[status(thm)],[t262091]) ).
cnf(t6296,plain,
multiply(commutator(sFlat0,X1),multiply(a,X2)) = multiply(multiply(a,commutator(sFlat0,X1)),X2),
inference(cp,[status(thm)],[t19,t6292]) ).
cnf(t262231,plain,
multiply(commutator(sFlat0,X1),multiply(a,X2)) = multiply(a,multiply(commutator(sFlat0,X1),X2)),
inference(step,[status(thm)],[t6296,t19]) ).
cnf(t11146,plain,
multiply(commutator(sFlat0,X1),multiply(a,X2)) = multiply(a,multiply(commutator(sFlat0,X1),X2)),
inference(orient,[status(thm)],[t262231]) ).
cnf(t262307,plain,
multiply(commutator(a,commutator(sFlat1,sFlat0)),sFlat3) = multiply(a,multiply(commutator(sFlat0,sFlat1),multiply(commutator(sFlat1,sFlat0),b))),
inference(step,[status(thm)],[t14765,t11146]) ).
cnf(t262308,plain,
multiply(commutator(a,commutator(sFlat1,sFlat0)),sFlat3) = multiply(a,b),
inference(step,[status(thm)],[t262307,t14757]) ).
cnf(t262309,plain,
multiply(commutator(a,commutator(sFlat1,sFlat0)),sFlat3) = sFlat3,
inference(step,[status(thm)],[t262308,t33]) ).
cnf(t14800,plain,
multiply(commutator(a,commutator(sFlat1,sFlat0)),sFlat3) = sFlat3,
inference(orient,[status(thm)],[t262309]) ).
cnf(t14806,plain,
commutator(a,commutator(sFlat1,sFlat0)) = ifeq(sFlat3,sFlat3,commutator(X1,X1),commutator(a,commutator(sFlat1,sFlat0))),
inference(cp,[status(thm)],[t7985,t14800]) ).
cnf(t262313,plain,
commutator(a,commutator(sFlat1,sFlat0)) = commutator(X1,X1),
inference(step,[status(thm)],[t14806,t11]) ).
cnf(t14858,plain,
commutator(a,commutator(sFlat1,sFlat0)) = commutator(X1,X1),
inference(orient,[status(thm)],[t262313]) ).
cnf(t14881,plain,
multiply(commutator(a,sFlat1),sFlat0) = multiply(sFlat0,multiply(commutator(a,sFlat1),commutator(X1,X1))),
inference(cp,[status(thm)],[t9628,t14858]) ).
cnf(t262314,plain,
multiply(commutator(a,sFlat1),sFlat0) = multiply(sFlat0,commutator(a,sFlat1)),
inference(step,[status(thm)],[t14881,t4967]) ).
cnf(t14933,plain,
multiply(commutator(a,sFlat1),sFlat0) = multiply(sFlat0,commutator(a,sFlat1)),
inference(orient,[status(thm)],[t262314]) ).
cnf(t14939,plain,
multiply(commutator(a,sFlat1),multiply(sFlat0,X1)) = multiply(multiply(sFlat0,commutator(a,sFlat1)),X1),
inference(cp,[status(thm)],[t19,t14933]) ).
cnf(t262375,plain,
multiply(commutator(a,sFlat1),multiply(sFlat0,X1)) = multiply(sFlat0,multiply(commutator(a,sFlat1),X1)),
inference(step,[status(thm)],[t14939,t19]) ).
cnf(t17132,plain,
multiply(commutator(a,sFlat1),multiply(sFlat0,X1)) = multiply(sFlat0,multiply(commutator(a,sFlat1),X1)),
inference(orient,[status(thm)],[t262375]) ).
cnf(t17146,plain,
multiply(sFlat0,multiply(commutator(a,sFlat1),multiply(sFlat1,X1))) = multiply(commutator(a,sFlat1),multiply(sFlat2,X1)),
inference(cp,[status(thm)],[t17132,t88]) ).
cnf(t262386,plain,
multiply(sFlat0,multiply(sFlat1,multiply(commutator(a,sFlat1),X1))) = multiply(commutator(a,sFlat1),multiply(sFlat2,X1)),
inference(step,[status(thm)],[t17146,t13712]) ).
cnf(t262387,plain,
multiply(sFlat2,multiply(commutator(a,sFlat1),X1)) = multiply(commutator(a,sFlat1),multiply(sFlat2,X1)),
inference(step,[status(thm)],[t262386,t88]) ).
cnf(t17809,plain,
multiply(commutator(a,sFlat1),multiply(sFlat2,X1)) = multiply(sFlat2,multiply(commutator(a,sFlat1),X1)),
inference(orient,[status(thm)],[t262387]) ).
cnf(t58903,plain,
multiply(sFlat2,multiply(commutator(a,sFlat1),commutator(sFlat0,sFlat3))) = multiply(commutator(a,sFlat1),sFlat4),
inference(cp,[status(thm)],[t17809,t58891]) ).
cnf(t264796,plain,
multiply(sFlat2,multiply(commutator(sFlat0,sFlat3),commutator(a,sFlat1))) = multiply(commutator(a,sFlat1),sFlat4),
inference(step,[status(thm)],[t58903,t72711]) ).
cnf(t264797,plain,
multiply(sFlat4,commutator(a,sFlat1)) = multiply(commutator(a,sFlat1),sFlat4),
inference(step,[status(thm)],[t264796,t59481]) ).
cnf(t95683,plain,
multiply(commutator(a,sFlat1),sFlat4) = multiply(sFlat4,commutator(a,sFlat1)),
inference(orient,[status(thm)],[t264797]) ).
cnf(t95692,plain,
multiply(commutator(a,sFlat1),multiply(sFlat4,X1)) = multiply(multiply(sFlat4,commutator(a,sFlat1)),X1),
inference(cp,[status(thm)],[t19,t95683]) ).
cnf(t264798,plain,
multiply(commutator(a,sFlat1),multiply(sFlat4,X1)) = multiply(sFlat4,multiply(commutator(a,sFlat1),X1)),
inference(step,[status(thm)],[t95692,t19]) ).
cnf(t95711,plain,
multiply(commutator(a,sFlat1),multiply(sFlat4,X1)) = multiply(sFlat4,multiply(commutator(a,sFlat1),X1)),
inference(orient,[status(thm)],[t264798]) ).
cnf(t174292,plain,
multiply(a,multiply(sFlat2,X1)) = multiply(multiply(sFlat4,a),X1),
inference(cp,[status(thm)],[t19,t174219]) ).
cnf(t266979,plain,
multiply(a,multiply(sFlat2,X1)) = multiply(sFlat4,multiply(a,X1)),
inference(step,[status(thm)],[t174292,t19]) ).
cnf(t177036,plain,
multiply(a,multiply(sFlat2,X1)) = multiply(sFlat4,multiply(a,X1)),
inference(orient,[status(thm)],[t266979]) ).
cnf(t177052,plain,
multiply(sFlat4,multiply(a,commutator(sFlat2,a))) = multiply(sFlat2,a),
inference(cp,[status(thm)],[t177036,t14]) ).
cnf(t179427,plain,
multiply(sFlat4,multiply(a,commutator(sFlat2,a))) = multiply(sFlat2,a),
inference(orient,[status(thm)],[t177052]) ).
cnf(t179441,plain,
multiply(sFlat4,multiply(commutator(a,sFlat1),multiply(a,commutator(sFlat2,a)))) = multiply(commutator(a,sFlat1),multiply(sFlat2,a)),
inference(cp,[status(thm)],[t95711,t179427]) ).
cnf(t267047,plain,
multiply(sFlat4,multiply(a,multiply(commutator(a,sFlat1),commutator(sFlat2,a)))) = multiply(commutator(a,sFlat1),multiply(sFlat2,a)),
inference(step,[status(thm)],[t179441,t10164]) ).
cnf(t172,plain,
multiply(sFlat2,multiply(multiply(X1,commutator(X1,sFlat1)),X2)) = multiply(multiply(sFlat0,multiply(X1,sFlat1)),X2),
inference(cp,[status(thm)],[t19,t167]) ).
cnf(t265345,plain,
multiply(sFlat2,multiply(X1,multiply(commutator(X1,sFlat1),X2))) = multiply(multiply(sFlat0,multiply(X1,sFlat1)),X2),
inference(step,[status(thm)],[t172,t19]) ).
cnf(t265346,plain,
multiply(sFlat2,multiply(X1,multiply(commutator(X1,sFlat1),X2))) = multiply(sFlat0,multiply(multiply(X1,sFlat1),X2)),
inference(step,[status(thm)],[t265345,t19]) ).
cnf(t265347,plain,
multiply(sFlat2,multiply(X1,multiply(commutator(X1,sFlat1),X2))) = multiply(sFlat0,multiply(X1,multiply(sFlat1,X2))),
inference(step,[status(thm)],[t265346,t19]) ).
cnf(t115962,plain,
multiply(sFlat2,multiply(X1,multiply(commutator(X1,sFlat1),X2))) = multiply(sFlat0,multiply(X1,multiply(sFlat1,X2))),
inference(orient,[status(thm)],[t265347]) ).
cnf(t116017,plain,
multiply(sFlat0,multiply(a,multiply(sFlat1,commutator(sFlat0,sFlat3)))) = multiply(sFlat2,multiply(a,multiply(commutator(sFlat0,sFlat3),commutator(a,sFlat1)))),
inference(cp,[status(thm)],[t115962,t72711]) ).
cnf(t265352,plain,
multiply(a,multiply(sFlat2,commutator(sFlat0,sFlat3))) = multiply(sFlat2,multiply(a,multiply(commutator(sFlat0,sFlat3),commutator(a,sFlat1)))),
inference(step,[status(thm)],[t116017,t7510]) ).
cnf(t265353,plain,
multiply(a,sFlat4) = multiply(sFlat2,multiply(a,multiply(commutator(sFlat0,sFlat3),commutator(a,sFlat1)))),
inference(step,[status(thm)],[t265352,t58891]) ).
cnf(t59494,plain,
multiply(sFlat4,multiply(a,X1)) = multiply(sFlat2,multiply(a,multiply(commutator(sFlat0,sFlat3),X1))),
inference(cp,[status(thm)],[t59481,t11146]) ).
cnf(t97511,plain,
multiply(sFlat2,multiply(a,multiply(commutator(sFlat0,sFlat3),X1))) = multiply(sFlat4,multiply(a,X1)),
inference(orient,[status(thm)],[t59494]) ).
cnf(t265354,plain,
multiply(a,sFlat4) = multiply(sFlat4,multiply(a,commutator(a,sFlat1))),
inference(step,[status(thm)],[t265353,t97511]) ).
cnf(t116213,plain,
multiply(sFlat4,multiply(a,commutator(a,sFlat1))) = multiply(a,sFlat4),
inference(orient,[status(thm)],[t265354]) ).
cnf(t116242,plain,
multiply(sFlat4,multiply(multiply(a,commutator(a,sFlat1)),X1)) = multiply(multiply(a,sFlat4),X1),
inference(cp,[status(thm)],[t19,t116213]) ).
cnf(t265497,plain,
multiply(sFlat4,multiply(a,multiply(commutator(a,sFlat1),X1))) = multiply(multiply(a,sFlat4),X1),
inference(step,[status(thm)],[t116242,t19]) ).
cnf(t265498,plain,
multiply(sFlat4,multiply(a,multiply(commutator(a,sFlat1),X1))) = multiply(a,multiply(sFlat4,X1)),
inference(step,[status(thm)],[t265497,t19]) ).
cnf(t119946,plain,
multiply(sFlat4,multiply(a,multiply(commutator(a,sFlat1),X1))) = multiply(a,multiply(sFlat4,X1)),
inference(orient,[status(thm)],[t265498]) ).
cnf(t267048,plain,
multiply(a,multiply(sFlat4,commutator(sFlat2,a))) = multiply(commutator(a,sFlat1),multiply(sFlat2,a)),
inference(step,[status(thm)],[t267047,t119946]) ).
cnf(t267049,plain,
multiply(a,multiply(sFlat4,commutator(sFlat2,a))) = multiply(sFlat2,multiply(commutator(a,sFlat1),a)),
inference(step,[status(thm)],[t267048,t17809]) ).
cnf(t4954,plain,
multiply(sFlat0,multiply(commutator(X1,X1),sFlat1)) = multiply(sFlat2,commutator(commutator(X1,X1),sFlat1)),
inference(cp,[status(thm)],[t167,t4930]) ).
cnf(t2339,plain,
sFlat1 = multiply(commutator(sFlat0,sFlat0),sFlat1),
inference(cp,[status(thm)],[t1816,t2334]) ).
cnf(t2380,plain,
multiply(commutator(sFlat0,sFlat0),sFlat1) = sFlat1,
inference(orient,[status(thm)],[t2339]) ).
cnf(t4559,plain,
sFlat1 = multiply(commutator(X1,X1),sFlat1),
inference(cp,[status(thm)],[t2380,t4526]) ).
cnf(t4886,plain,
multiply(commutator(X1,X1),sFlat1) = sFlat1,
inference(orient,[status(thm)],[t4559]) ).
cnf(t262038,plain,
multiply(sFlat0,sFlat1) = multiply(sFlat2,commutator(commutator(X1,X1),sFlat1)),
inference(step,[status(thm)],[t4954,t4886]) ).
cnf(t262039,plain,
sFlat2 = multiply(sFlat2,commutator(commutator(X1,X1),sFlat1)),
inference(step,[status(thm)],[t262038,t51]) ).
cnf(t262040,plain,
sFlat2 = multiply(sFlat2,commutator(X1,commutator(X1,sFlat1))),
inference(step,[status(thm)],[t262039,t39]) ).
cnf(t5380,plain,
multiply(sFlat2,commutator(X1,commutator(X1,sFlat1))) = sFlat2,
inference(orient,[status(thm)],[t262040]) ).
cnf(t5387,plain,
commutator(sFlat2,sFlat2) = ifeq(sFlat2,sFlat2,commutator(X1,commutator(X1,sFlat1)),commutator(sFlat2,sFlat2)),
inference(cp,[status(thm)],[t1284,t5380]) ).
cnf(t262041,plain,
commutator(sFlat0,sFlat0) = ifeq(sFlat2,sFlat2,commutator(X1,commutator(X1,sFlat1)),commutator(sFlat2,sFlat2)),
inference(step,[status(thm)],[t5387,t4526]) ).
cnf(t262042,plain,
commutator(sFlat0,sFlat0) = commutator(X1,commutator(X1,sFlat1)),
inference(step,[status(thm)],[t262041,t11]) ).
cnf(t5599,plain,
commutator(X1,commutator(X1,sFlat1)) = commutator(sFlat0,sFlat0),
inference(orient,[status(thm)],[t262042]) ).
cnf(t5607,plain,
multiply(X1,commutator(X1,sFlat1)) = multiply(commutator(X1,sFlat1),multiply(X1,commutator(sFlat0,sFlat0))),
inference(cp,[status(thm)],[t14,t5599]) ).
cnf(t262043,plain,
multiply(X1,commutator(X1,sFlat1)) = multiply(commutator(X1,sFlat1),X1),
inference(step,[status(thm)],[t5607,t4967]) ).
cnf(t5619,plain,
multiply(commutator(X1,sFlat1),X1) = multiply(X1,commutator(X1,sFlat1)),
inference(orient,[status(thm)],[t262043]) ).
cnf(t267050,plain,
multiply(a,multiply(sFlat4,commutator(sFlat2,a))) = multiply(sFlat2,multiply(a,commutator(a,sFlat1))),
inference(step,[status(thm)],[t267049,t5619]) ).
cnf(t267051,plain,
multiply(a,multiply(sFlat4,commutator(sFlat2,a))) = multiply(sFlat0,multiply(a,sFlat1)),
inference(step,[status(thm)],[t267050,t167]) ).
cnf(t6336,plain,
multiply(sFlat0,multiply(a,sFlat1)) = multiply(a,sFlat2),
inference(cp,[status(thm)],[t6333,t51]) ).
cnf(t6368,plain,
multiply(sFlat0,multiply(a,sFlat1)) = multiply(a,sFlat2),
inference(orient,[status(thm)],[t6336]) ).
cnf(t266851,plain,
multiply(sFlat0,multiply(a,sFlat1)) = multiply(sFlat4,a),
inference(step,[status(thm)],[t6368,t174219]) ).
cnf(t174222,plain,
multiply(sFlat0,multiply(a,sFlat1)) = multiply(sFlat4,a),
inference(orient,[status(thm)],[t266851]) ).
cnf(t267052,plain,
multiply(a,multiply(sFlat4,commutator(sFlat2,a))) = multiply(sFlat4,a),
inference(step,[status(thm)],[t267051,t174222]) ).
cnf(t180128,plain,
multiply(a,multiply(sFlat4,commutator(sFlat2,a))) = multiply(sFlat4,a),
inference(orient,[status(thm)],[t267052]) ).
cnf(t181405,plain,
multiply(sFlat4,commutator(sFlat2,a)) = ifeq(multiply(sFlat4,a),multiply(sFlat4,a),sFlat2,multiply(sFlat4,commutator(sFlat2,a))),
inference(cp,[status(thm)],[t181385,t180128]) ).
cnf(t267085,plain,
multiply(sFlat4,commutator(sFlat2,a)) = sFlat2,
inference(step,[status(thm)],[t181405,t11]) ).
cnf(t181474,plain,
multiply(sFlat4,commutator(sFlat2,a)) = sFlat2,
inference(orient,[status(thm)],[t267085]) ).
cnf(t182687,plain,
commutator(sFlat2,a) = ifeq(sFlat2,sFlat2,commutator(b,sFlat0),commutator(sFlat2,a)),
inference(cp,[status(thm)],[t182685,t181474]) ).
cnf(t267107,plain,
commutator(sFlat2,a) = commutator(b,sFlat0),
inference(step,[status(thm)],[t182687,t11]) ).
cnf(t182831,plain,
commutator(b,sFlat0) = commutator(sFlat2,a),
inference(orient,[status(thm)],[t267107]) ).
cnf(t182872,plain,
multiply(commutator(b,a),c) = multiply(c,multiply(commutator(sFlat2,a),commutator(b,a))),
inference(cp,[status(thm)],[t34818,t182831]) ).
cnf(t54459,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat1,a))) = multiply(sFlat0,multiply(sFlat1,sFlat3)),
inference(cp,[status(thm)],[t54440,t21691]) ).
cnf(t263527,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat1,a))) = multiply(sFlat2,sFlat3),
inference(step,[status(thm)],[t54459,t88]) ).
cnf(t54646,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat1,a))) = multiply(sFlat2,sFlat3),
inference(orient,[status(thm)],[t263527]) ).
cnf(t174030,plain,
multiply(sFlat4,commutator(sFlat1,a)) = ifeq(multiply(sFlat2,sFlat3),multiply(sFlat2,sFlat3),sFlat2,multiply(sFlat4,commutator(sFlat1,a))),
inference(cp,[status(thm)],[t173910,t54646]) ).
cnf(t266937,plain,
multiply(sFlat4,commutator(sFlat1,a)) = sFlat2,
inference(step,[status(thm)],[t174030,t11]) ).
cnf(t176560,plain,
multiply(sFlat4,commutator(sFlat1,a)) = sFlat2,
inference(orient,[status(thm)],[t266937]) ).
cnf(t176561,plain,
X1 = ifeq(sFlat2,multiply(sFlat4,X1),commutator(sFlat1,a),X1),
inference(cp,[status(thm)],[t12,t176560]) ).
cnf(t185155,plain,
ifeq(sFlat2,multiply(sFlat4,X1),commutator(sFlat1,a),X1) = X1,
inference(orient,[status(thm)],[t176561]) ).
cnf(t185158,plain,
commutator(sFlat2,a) = ifeq(sFlat2,sFlat2,commutator(sFlat1,a),commutator(sFlat2,a)),
inference(cp,[status(thm)],[t185155,t181474]) ).
cnf(t267194,plain,
commutator(sFlat2,a) = commutator(sFlat1,a),
inference(step,[status(thm)],[t185158,t11]) ).
cnf(t185288,plain,
commutator(sFlat2,a) = commutator(sFlat1,a),
inference(orient,[status(thm)],[t267194]) ).
cnf(t54467,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat1,sFlat3))) = multiply(sFlat0,multiply(sFlat1,sFlat3)),
inference(cp,[status(thm)],[t54440,t14]) ).
cnf(t263549,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat1,sFlat3))) = multiply(sFlat2,sFlat3),
inference(step,[status(thm)],[t54467,t88]) ).
cnf(t54941,plain,
multiply(sFlat3,multiply(sFlat4,commutator(sFlat1,sFlat3))) = multiply(sFlat2,sFlat3),
inference(orient,[status(thm)],[t263549]) ).
cnf(t174031,plain,
multiply(sFlat4,commutator(sFlat1,sFlat3)) = ifeq(multiply(sFlat2,sFlat3),multiply(sFlat2,sFlat3),sFlat2,multiply(sFlat4,commutator(sFlat1,sFlat3))),
inference(cp,[status(thm)],[t173910,t54941]) ).
cnf(t266942,plain,
multiply(sFlat4,commutator(sFlat1,sFlat3)) = sFlat2,
inference(step,[status(thm)],[t174031,t11]) ).
cnf(t176643,plain,
multiply(sFlat4,commutator(sFlat1,sFlat3)) = sFlat2,
inference(orient,[status(thm)],[t266942]) ).
cnf(t185168,plain,
commutator(sFlat1,sFlat3) = ifeq(sFlat2,sFlat2,commutator(sFlat1,a),commutator(sFlat1,sFlat3)),
inference(cp,[status(thm)],[t185155,t176643]) ).
cnf(t267203,plain,
commutator(sFlat1,sFlat3) = commutator(sFlat1,a),
inference(step,[status(thm)],[t185168,t11]) ).
cnf(t185313,plain,
commutator(sFlat1,a) = commutator(sFlat1,sFlat3),
inference(orient,[status(thm)],[t267203]) ).
cnf(t267210,plain,
commutator(sFlat2,a) = commutator(sFlat1,sFlat3),
inference(step,[status(thm)],[t185288,t185313]) ).
cnf(t185320,plain,
commutator(sFlat2,a) = commutator(sFlat1,sFlat3),
inference(orient,[status(thm)],[t267210]) ).
cnf(t267659,plain,
multiply(commutator(b,a),c) = multiply(c,multiply(commutator(sFlat1,sFlat3),commutator(b,a))),
inference(step,[status(thm)],[t182872,t185320]) ).
cnf(t211149,plain,
multiply(c,multiply(commutator(sFlat1,sFlat3),commutator(b,a))) = multiply(commutator(b,a),c),
inference(orient,[status(thm)],[t267659]) ).
cnf(t247640,plain,
multiply(sFlat2,multiply(c,multiply(sFlat3,commutator(b,a)))) = multiply(sFlat3,multiply(commutator(b,a),c)),
inference(cp,[status(thm)],[t247633,t211149]) ).
cnf(t268246,plain,
multiply(sFlat2,multiply(c,multiply(b,a))) = multiply(sFlat3,multiply(commutator(b,a),c)),
inference(step,[status(thm)],[t247640,t95]) ).
cnf(t5103,plain,
multiply(sFlat2,multiply(c,b)) = multiply(sFlat0,multiply(b,c)),
inference(cp,[status(thm)],[t88,t5093]) ).
cnf(t5244,plain,
multiply(sFlat2,multiply(c,b)) = multiply(sFlat0,multiply(b,c)),
inference(orient,[status(thm)],[t5103]) ).
cnf(t5250,plain,
multiply(sFlat2,multiply(multiply(c,b),X1)) = multiply(multiply(sFlat0,multiply(b,c)),X1),
inference(cp,[status(thm)],[t19,t5244]) ).
cnf(t262201,plain,
multiply(sFlat2,multiply(c,multiply(b,X1))) = multiply(multiply(sFlat0,multiply(b,c)),X1),
inference(step,[status(thm)],[t5250,t19]) ).
cnf(t262202,plain,
multiply(sFlat2,multiply(c,multiply(b,X1))) = multiply(sFlat0,multiply(multiply(b,c),X1)),
inference(step,[status(thm)],[t262201,t19]) ).
cnf(t262203,plain,
multiply(sFlat2,multiply(c,multiply(b,X1))) = multiply(sFlat0,multiply(b,multiply(c,X1))),
inference(step,[status(thm)],[t262202,t19]) ).
cnf(t10093,plain,
multiply(sFlat2,multiply(c,multiply(b,X1))) = multiply(sFlat0,multiply(b,multiply(c,X1))),
inference(orient,[status(thm)],[t262203]) ).
cnf(t268247,plain,
multiply(sFlat0,multiply(b,multiply(c,a))) = multiply(sFlat3,multiply(commutator(b,a),c)),
inference(step,[status(thm)],[t268246,t10093]) ).
cnf(t268248,plain,
multiply(sFlat0,multiply(b,multiply(c,a))) = multiply(b,multiply(a,c)),
inference(step,[status(thm)],[t268247,t175]) ).
cnf(t247773,plain,
multiply(sFlat0,multiply(b,multiply(c,a))) = multiply(b,multiply(a,c)),
inference(orient,[status(thm)],[t268248]) ).
cnf(t247795,plain,
multiply(sFlat2,multiply(b,multiply(c,a))) = multiply(sFlat1,multiply(b,multiply(a,c))),
inference(cp,[status(thm)],[t57653,t247773]) ).
cnf(t247963,plain,
multiply(sFlat2,multiply(b,multiply(c,a))) = multiply(sFlat1,multiply(b,multiply(a,c))),
inference(orient,[status(thm)],[t247795]) ).
cnf(t268367,plain,
multiply(sFlat4,multiply(b,multiply(a,c))) = multiply(sFlat0,multiply(sFlat1,multiply(b,multiply(a,c)))),
inference(step,[status(thm)],[t268366,t247963]) ).
cnf(t268368,plain,
multiply(sFlat4,multiply(b,multiply(a,c))) = multiply(sFlat2,multiply(b,multiply(a,c))),
inference(step,[status(thm)],[t268367,t88]) ).
cnf(t257376,plain,
multiply(sFlat4,multiply(b,multiply(a,c))) = multiply(sFlat2,multiply(b,multiply(a,c))),
inference(orient,[status(thm)],[t268368]) ).
cnf(t257392,plain,
multiply(sFlat4,multiply(commutator(a,b),multiply(b,multiply(a,c)))) = multiply(commutator(a,b),multiply(sFlat2,multiply(b,multiply(a,c)))),
inference(cp,[status(thm)],[t103955,t257376]) ).
cnf(t268369,plain,
multiply(sFlat4,multiply(b,multiply(commutator(a,b),multiply(a,c)))) = multiply(commutator(a,b),multiply(sFlat2,multiply(b,multiply(a,c)))),
inference(step,[status(thm)],[t257392,t13712]) ).
cnf(t268370,plain,
multiply(sFlat4,multiply(b,multiply(a,multiply(commutator(a,b),c)))) = multiply(commutator(a,b),multiply(sFlat2,multiply(b,multiply(a,c)))),
inference(step,[status(thm)],[t268369,t10164]) ).
cnf(t268371,plain,
multiply(sFlat4,multiply(a,multiply(b,c))) = multiply(commutator(a,b),multiply(sFlat2,multiply(b,multiply(a,c)))),
inference(step,[status(thm)],[t268370,t252]) ).
cnf(t268372,plain,
multiply(sFlat4,multiply(sFlat3,c)) = multiply(commutator(a,b),multiply(sFlat2,multiply(b,multiply(a,c)))),
inference(step,[status(thm)],[t268371,t57]) ).
cnf(t268373,plain,
multiply(sFlat3,multiply(sFlat4,c)) = multiply(commutator(a,b),multiply(sFlat2,multiply(b,multiply(a,c)))),
inference(step,[status(thm)],[t268372,t3875]) ).
cnf(t268374,plain,
multiply(sFlat3,multiply(sFlat4,c)) = multiply(sFlat2,multiply(commutator(a,b),multiply(b,multiply(a,c)))),
inference(step,[status(thm)],[t268373,t71116]) ).
cnf(t268375,plain,
multiply(sFlat3,multiply(sFlat4,c)) = multiply(sFlat2,multiply(b,multiply(commutator(a,b),multiply(a,c)))),
inference(step,[status(thm)],[t268374,t13712]) ).
cnf(t268376,plain,
multiply(sFlat3,multiply(sFlat4,c)) = multiply(sFlat2,multiply(b,multiply(a,multiply(commutator(a,b),c)))),
inference(step,[status(thm)],[t268375,t10164]) ).
cnf(t268377,plain,
multiply(sFlat3,multiply(sFlat4,c)) = multiply(sFlat2,multiply(a,multiply(b,c))),
inference(step,[status(thm)],[t268376,t252]) ).
cnf(t268378,plain,
multiply(sFlat3,multiply(sFlat4,c)) = multiply(sFlat2,multiply(sFlat3,c)),
inference(step,[status(thm)],[t268377,t57]) ).
cnf(t257482,plain,
multiply(sFlat3,multiply(sFlat4,c)) = multiply(sFlat2,multiply(sFlat3,c)),
inference(orient,[status(thm)],[t268378]) ).
cnf(t257528,plain,
multiply(sFlat3,multiply(multiply(sFlat4,c),X1)) = multiply(multiply(sFlat2,multiply(sFlat3,c)),X1),
inference(cp,[status(thm)],[t19,t257482]) ).
cnf(t268405,plain,
multiply(sFlat3,multiply(sFlat4,multiply(c,X1))) = multiply(multiply(sFlat2,multiply(sFlat3,c)),X1),
inference(step,[status(thm)],[t257528,t19]) ).
cnf(t268406,plain,
multiply(sFlat3,multiply(sFlat4,multiply(c,X1))) = multiply(sFlat2,multiply(multiply(sFlat3,c),X1)),
inference(step,[status(thm)],[t268405,t19]) ).
cnf(t268407,plain,
multiply(sFlat3,multiply(sFlat4,multiply(c,X1))) = multiply(sFlat2,multiply(sFlat3,multiply(c,X1))),
inference(step,[status(thm)],[t268406,t19]) ).
cnf(t257803,plain,
multiply(sFlat3,multiply(sFlat4,multiply(c,X1))) = multiply(sFlat2,multiply(sFlat3,multiply(c,X1))),
inference(orient,[status(thm)],[t268407]) ).
cnf(t3888,plain,
multiply(sFlat3,multiply(sFlat4,multiply(X1,commutator(X1,sFlat3)))) = multiply(sFlat4,multiply(X1,sFlat3)),
inference(cp,[status(thm)],[t3875,t14]) ).
cnf(t20715,plain,
multiply(sFlat3,multiply(sFlat4,multiply(X1,commutator(X1,sFlat3)))) = multiply(sFlat4,multiply(X1,sFlat3)),
inference(orient,[status(thm)],[t3888]) ).
cnf(t257805,plain,
multiply(sFlat2,multiply(sFlat3,multiply(c,commutator(c,sFlat3)))) = multiply(sFlat4,multiply(c,sFlat3)),
inference(cp,[status(thm)],[t257803,t20715]) ).
cnf(t268411,plain,
multiply(sFlat2,multiply(c,sFlat3)) = multiply(sFlat4,multiply(c,sFlat3)),
inference(step,[status(thm)],[t257805,t14]) ).
cnf(t268412,plain,
multiply(sFlat2,multiply(c,sFlat3)) = multiply(sFlat3,c),
inference(step,[status(thm)],[t268411,t6718]) ).
cnf(t257981,plain,
multiply(sFlat2,multiply(c,sFlat3)) = multiply(sFlat3,c),
inference(orient,[status(thm)],[t268412]) ).
cnf(t258053,plain,
sFlat4 = ifeq(multiply(sFlat3,c),multiply(sFlat3,c),sFlat2,sFlat4),
inference(cp,[status(thm)],[t125548,t257981]) ).
cnf(t268421,plain,
sFlat4 = sFlat2,
inference(step,[status(thm)],[t258053,t11]) ).
cnf(t260953,plain,
sFlat4 = sFlat2,
inference(orient,[status(thm)],[t268421]) ).
cnf(t268422,plain,
commutator(sFlat3,c) = sFlat2,
inference(step,[status(thm)],[t41,t260953]) ).
cnf(t260954,plain,
commutator(sFlat3,c) = sFlat2,
inference(orient,[status(thm)],[t268422]) ).
cnf(f5,negated_conjecture,
commutator(multiply(a,b),c) != multiply(commutator(a,c),commutator(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutator_distributes_over_product) ).
fof(f5_nnf,plain,
commutator(multiply(a,b),c) != multiply(commutator(a,c),commutator(b,c)),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
commutator(multiply(a,b),c) != multiply(commutator(a,c),commutator(b,c)),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
commutator(multiply(a,b),c) != multiply(commutator(a,c),commutator(b,c)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(goal_0,negated_conjecture,
multiply(commutator(a,c),commutator(b,c)) != commutator(multiply(a,b),c),
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(g0_0,plain,
multiply(sFlat0,commutator(b,c)) != commutator(multiply(a,b),c),
inference(rw,[status(thm)],[goal_0,t44]) ).
cnf(g0_1,plain,
multiply(sFlat0,sFlat1) != commutator(multiply(a,b),c),
inference(rw,[status(thm)],[g0_0,t48]) ).
cnf(g0_2,plain,
sFlat2 != commutator(multiply(a,b),c),
inference(rw,[status(thm)],[g0_1,t51]) ).
cnf(g0_3,plain,
sFlat2 != commutator(sFlat3,c),
inference(rw,[status(thm)],[g0_2,t33]) ).
cnf(g0_4,plain,
sFlat2 != sFlat2,
inference(rw,[status(thm)],[g0_3,t260954]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP400-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/0.36 % Computer : n016.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8046.5625MB
% 0.13/0.36 % OS : Linux 6.8.0-71-generic
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Sep 23 14:45:11 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 165.32/21.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 165.32/21.37 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------