TSTP Solution File: GRP404-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP404-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:18:51 EDT 2023
% Result : Unsatisfiable 13.08s 13.13s
% Output : CNFRefutation 13.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
multiply: ( $i * $i ) > $i ).
tff(decl_23,type,
inverse: $i > $i ).
tff(decl_24,type,
b2: $i ).
tff(decl_25,type,
a2: $i ).
cnf(single_axiom,axiom,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(X2,multiply(inverse(X2),X2)))))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_0_2,axiom,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(X2,multiply(inverse(X2),X2)))))) = X3,
single_axiom ).
cnf(c_0_3,plain,
multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,multiply(inverse(X3),X3)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X4)),X2)),inverse(multiply(X4,multiply(inverse(X4),X4))))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(X3),inverse(multiply(X2,multiply(inverse(X2),X2))))))) = X3,
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),b2)),multiply(inverse(X1),X2))),inverse(multiply(b2,multiply(inverse(b2),b2))))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_2]),c_0_3]),c_0_2]) ).
cnf(c_0_6,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X3,inverse(multiply(inverse(X4),inverse(multiply(X5,multiply(inverse(X5),X5)))))))) = multiply(inverse(multiply(inverse(multiply(X3,X5)),X2)),X4),
inference(spm,[status(thm)],[c_0_4,c_0_3]) ).
cnf(c_0_7,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,b2)),multiply(X1,X2))),inverse(multiply(b2,multiply(inverse(b2),b2))))) = X2,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_8,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(inverse(multiply(X4,X5)),X2)),multiply(inverse(multiply(X4,X5)),X3)),
inference(spm,[status(thm)],[c_0_6,c_0_2]) ).
cnf(c_0_9,plain,
multiply(inverse(multiply(X1,b2)),inverse(multiply(X2,inverse(multiply(multiply(X1,X2),multiply(inverse(multiply(X1,X2)),multiply(X1,X2))))))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_10,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
inference(spm,[status(thm)],[c_0_8,c_0_8]) ).
cnf(c_0_11,plain,
multiply(inverse(multiply(X1,b2)),inverse(multiply(X2,inverse(multiply(multiply(X1,X2),multiply(inverse(multiply(X3,X2)),multiply(X3,X2))))))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(inverse(X4),inverse(multiply(X5,multiply(inverse(X5),X5)))))) = inverse(multiply(inverse(multiply(multiply(X1,inverse(multiply(inverse(X5),inverse(multiply(X2,multiply(inverse(X2),X2)))))),X4)),inverse(multiply(inverse(multiply(X3,multiply(inverse(X3),X3))),multiply(inverse(inverse(multiply(X3,multiply(inverse(X3),X3)))),inverse(multiply(X3,multiply(inverse(X3),X3)))))))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_13,plain,
multiply(inverse(multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(X2)))),inverse(multiply(b2,multiply(inverse(b2),b2)))) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_9]) ).
cnf(c_0_14,plain,
inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(inverse(inverse(multiply(b2,multiply(inverse(b2),b2)))),inverse(multiply(b2,multiply(inverse(b2),b2)))))))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_2]) ).
cnf(c_0_15,plain,
multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(inverse(inverse(multiply(b2,multiply(inverse(b2),b2)))),inverse(multiply(b2,multiply(inverse(b2),b2))))))) = multiply(b2,multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_13]) ).
cnf(c_0_16,plain,
multiply(inverse(multiply(X1,inverse(multiply(b2,multiply(inverse(b2),b2))))),multiply(X1,inverse(multiply(b2,multiply(inverse(b2),b2))))) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_4,c_0_15]) ).
cnf(c_0_17,plain,
multiply(X1,multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,multiply(inverse(X4),X4))))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X5)),X6)),multiply(inverse(multiply(inverse(multiply(X2,X4)),X5)),X3))),inverse(multiply(X6,multiply(inverse(X6),X6))))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_18,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_16,c_0_16]) ).
cnf(c_0_19,plain,
inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_4]) ).
cnf(c_0_20,plain,
inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(X2,multiply(inverse(X3),X3))))) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_21,plain,
multiply(inverse(multiply(X1,b2)),multiply(X1,X2)) = multiply(inverse(multiply(X3,b2)),multiply(X3,X2)),
inference(spm,[status(thm)],[c_0_4,c_0_7]) ).
cnf(c_0_22,plain,
multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(multiply(inverse(X2),X2)))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(spm,[status(thm)],[c_0_11,c_0_20]) ).
cnf(c_0_23,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(X2)))),b2)),X2)),inverse(multiply(b2,multiply(inverse(b2),b2)))) = multiply(b2,multiply(inverse(b2),b2)),
inference(spm,[status(thm)],[c_0_13,c_0_13]) ).
cnf(c_0_24,plain,
multiply(inverse(multiply(X1,b2)),inverse(multiply(b2,inverse(multiply(multiply(X1,b2),multiply(inverse(multiply(X2,b2)),multiply(X2,b2))))))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(spm,[status(thm)],[c_0_9,c_0_21]) ).
cnf(c_0_25,plain,
multiply(inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),b2)),multiply(inverse(X2),X2)) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
cnf(c_0_26,plain,
multiply(inverse(multiply(X1,b2)),inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),inverse(multiply(multiply(X1,inverse(multiply(b2,multiply(inverse(b2),b2)))),multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,multiply(inverse(b2),b2)))))))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(spm,[status(thm)],[c_0_11,c_0_23]) ).
cnf(c_0_27,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,b2)),b2)),inverse(multiply(b2,multiply(inverse(b2),b2))))),inverse(multiply(b2,multiply(inverse(b2),b2)))) = multiply(b2,inverse(multiply(multiply(X1,b2),multiply(inverse(multiply(X2,b2)),multiply(X2,b2))))),
inference(spm,[status(thm)],[c_0_13,c_0_24]) ).
cnf(c_0_28,plain,
multiply(X1,inverse(multiply(inverse(inverse(multiply(b2,multiply(inverse(b2),b2)))),inverse(multiply(b2,multiply(inverse(b2),b2)))))) = inverse(multiply(b2,inverse(multiply(multiply(X1,b2),multiply(inverse(multiply(X2,b2)),multiply(X2,b2)))))),
inference(spm,[status(thm)],[c_0_2,c_0_24]) ).
cnf(c_0_29,plain,
multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(b2),b2))) = multiply(inverse(X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_25]),c_0_18]) ).
cnf(c_0_30,plain,
multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),inverse(multiply(multiply(X1,inverse(multiply(b2,multiply(inverse(b2),b2)))),multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,multiply(inverse(b2),b2)))))) = multiply(b2,inverse(multiply(multiply(X1,b2),multiply(inverse(multiply(b2,b2)),multiply(b2,b2))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_26]),c_0_27]) ).
cnf(c_0_31,plain,
inverse(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(X1)),multiply(inverse(b2),b2))))) = inverse(multiply(b2,inverse(multiply(multiply(X2,b2),multiply(inverse(b2),b2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_13]),c_0_18]),c_0_28]),c_0_18]) ).
cnf(c_0_32,plain,
multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(X3),X3),
inference(spm,[status(thm)],[c_0_29,c_0_18]) ).
cnf(c_0_33,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),b2)),multiply(b2,inverse(multiply(multiply(X1,b2),multiply(inverse(multiply(b2,b2)),multiply(b2,b2))))))),inverse(multiply(b2,multiply(inverse(b2),b2)))) = multiply(multiply(X1,inverse(multiply(b2,multiply(inverse(b2),b2)))),multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,multiply(inverse(b2),b2)))),
inference(spm,[status(thm)],[c_0_13,c_0_30]) ).
cnf(c_0_34,plain,
multiply(b2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(b2)))),b2),multiply(inverse(multiply(X2,b2)),multiply(X2,b2))))) = multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),inverse(multiply(b2,multiply(inverse(b2),b2)))),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
cnf(c_0_35,plain,
inverse(multiply(inverse(X1),inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2))))) = inverse(multiply(b2,inverse(multiply(multiply(inverse(inverse(X1)),b2),multiply(inverse(b2),b2))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_32]) ).
cnf(c_0_36,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_10]),c_0_2]) ).
cnf(c_0_37,plain,
multiply(b2,multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,multiply(inverse(b2),b2)))) = multiply(b2,multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_13]),c_0_13]) ).
cnf(c_0_38,plain,
multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(b2,multiply(inverse(b2),b2)))),b2)),multiply(inverse(b2),b2))),inverse(multiply(b2,multiply(inverse(b2),b2)))) = multiply(b2,multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_29]),c_0_25]) ).
cnf(c_0_39,plain,
inverse(multiply(b2,inverse(multiply(multiply(inverse(inverse(inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2))))),b2),multiply(inverse(b2),b2))))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_32]) ).
cnf(c_0_40,plain,
multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,multiply(inverse(b2),b2))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_36]) ).
cnf(c_0_41,plain,
multiply(inverse(multiply(X1,b2)),inverse(multiply(b2,inverse(multiply(multiply(X1,b2),multiply(inverse(b2),b2)))))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_38]),c_0_30]),c_0_18]) ).
cnf(c_0_42,plain,
multiply(b2,inverse(multiply(multiply(inverse(inverse(inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2))))),b2),multiply(inverse(b2),b2)))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_39]),c_0_22]),c_0_18]) ).
cnf(c_0_43,plain,
multiply(inverse(multiply(X1,multiply(inverse(b2),b2))),multiply(X1,multiply(inverse(b2),b2))) = multiply(inverse(b2),b2),
inference(spm,[status(thm)],[c_0_10,c_0_40]) ).
cnf(c_0_44,plain,
multiply(inverse(multiply(inverse(inverse(inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2))))),b2)),inverse(multiply(inverse(b2),b2))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,plain,
multiply(inverse(multiply(b2,multiply(X1,b2))),multiply(b2,multiply(X1,b2))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_10]),c_0_10]) ).
cnf(c_0_46,plain,
multiply(inverse(inverse(inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2))))),inverse(multiply(inverse(b2),b2))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_44]),c_0_18]) ).
cnf(c_0_47,plain,
multiply(inverse(multiply(X1,multiply(X2,b2))),multiply(X1,multiply(X2,b2))) = multiply(inverse(b2),b2),
inference(spm,[status(thm)],[c_0_10,c_0_45]) ).
cnf(c_0_48,plain,
inverse(multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(b2),b2)))) = inverse(multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_46]),c_0_10]),c_0_18]),c_0_42]) ).
cnf(c_0_49,plain,
inverse(multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(multiply(X1,b2),multiply(inverse(multiply(X1,b2)),multiply(X1,b2)))))) = multiply(X1,b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_47]),c_0_2]) ).
cnf(c_0_50,plain,
inverse(multiply(inverse(b2),b2)) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_48]),c_0_20]) ).
cnf(c_0_51,plain,
inverse(multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(multiply(X1,b2),multiply(inverse(multiply(X2,b2)),multiply(X2,b2)))))) = multiply(X1,b2),
inference(spm,[status(thm)],[c_0_49,c_0_10]) ).
cnf(c_0_52,plain,
inverse(multiply(inverse(X1),X1)) = multiply(inverse(X1),X1),
inference(spm,[status(thm)],[c_0_50,c_0_18]) ).
cnf(c_0_53,plain,
multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),inverse(multiply(multiply(X1,inverse(multiply(b2,multiply(inverse(b2),b2)))),multiply(inverse(b2),b2)))) = multiply(b2,inverse(multiply(multiply(X1,b2),multiply(inverse(multiply(b2,b2)),multiply(b2,b2))))),
inference(spm,[status(thm)],[c_0_30,c_0_47]) ).
cnf(c_0_54,plain,
inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_50]),c_0_50]),c_0_50]) ).
cnf(c_0_55,plain,
inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2))))) = multiply(inverse(inverse(multiply(b2,multiply(inverse(b2),b2)))),inverse(multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_38]),c_0_18]),c_0_10]),c_0_18]) ).
cnf(c_0_56,plain,
multiply(inverse(b2),inverse(multiply(multiply(X1,b2),inverse(multiply(b2,multiply(inverse(b2),b2)))))) = inverse(multiply(multiply(X1,b2),multiply(inverse(multiply(X2,b2)),multiply(X2,b2)))),
inference(spm,[status(thm)],[c_0_2,c_0_51]) ).
cnf(c_0_57,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(b2,multiply(inverse(b2),b2)))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_52]),c_0_43]),c_0_53]),c_0_18]),c_0_54]) ).
cnf(c_0_58,plain,
multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2)) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_50]),c_0_50]),c_0_54]),c_0_52]),c_0_52]) ).
cnf(c_0_59,plain,
inverse(multiply(b2,inverse(multiply(multiply(inverse(inverse(multiply(b2,multiply(inverse(b2),b2)))),b2),multiply(inverse(b2),b2))))) = multiply(inverse(inverse(multiply(b2,multiply(inverse(b2),b2)))),inverse(multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[c_0_55,c_0_35]) ).
cnf(c_0_60,plain,
multiply(inverse(b2),inverse(inverse(multiply(b2,multiply(inverse(b2),b2))))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_18]),c_0_58]),c_0_52]) ).
cnf(c_0_61,plain,
inverse(multiply(b2,inverse(multiply(multiply(inverse(inverse(multiply(b2,multiply(inverse(b2),b2)))),b2),multiply(inverse(b2),b2))))) = multiply(inverse(inverse(multiply(b2,multiply(inverse(b2),b2)))),multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[c_0_59,c_0_50]) ).
cnf(c_0_62,plain,
inverse(inverse(multiply(b2,multiply(inverse(b2),b2)))) = b2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_60]),c_0_36]) ).
cnf(c_0_63,plain,
inverse(multiply(b2,inverse(multiply(multiply(b2,b2),multiply(inverse(b2),b2))))) = multiply(b2,multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_62]) ).
cnf(c_0_64,plain,
multiply(inverse(multiply(inverse(multiply(X1,b2)),X2)),inverse(multiply(b2,multiply(inverse(b2),b2)))) = multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(X3,multiply(inverse(X3),X3)))),
inference(spm,[status(thm)],[c_0_13,c_0_2]) ).
cnf(c_0_65,plain,
multiply(inverse(multiply(b2,b2)),multiply(b2,multiply(inverse(b2),b2))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(spm,[status(thm)],[c_0_41,c_0_63]) ).
cnf(c_0_66,plain,
inverse(inverse(multiply(b2,multiply(inverse(X1),X1)))) = b2,
inference(spm,[status(thm)],[c_0_62,c_0_18]) ).
cnf(c_0_67,plain,
multiply(b2,inverse(multiply(b2,multiply(inverse(b2),b2)))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_65]),c_0_66]),c_0_18]) ).
cnf(c_0_68,plain,
multiply(b2,inverse(multiply(b2,multiply(inverse(X1),X1)))) = multiply(inverse(X1),X1),
inference(spm,[status(thm)],[c_0_67,c_0_18]) ).
cnf(c_0_69,plain,
multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(inverse(b2),b2)) = multiply(b2,inverse(multiply(multiply(b2,b2),multiply(inverse(b2),b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_68]),c_0_43]),c_0_58]),c_0_52]),c_0_18]) ).
cnf(c_0_70,plain,
multiply(multiply(inverse(X1),X1),multiply(inverse(X1),X1)) = multiply(inverse(X1),X1),
inference(spm,[status(thm)],[c_0_58,c_0_18]) ).
cnf(c_0_71,plain,
multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(X2)))),b2)),X2)),inverse(multiply(inverse(X3),multiply(b2,multiply(inverse(b2),b2)))))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_23]),c_0_18]),c_0_69]),c_0_63]) ).
cnf(c_0_72,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(X2)))),b2)),X2)),inverse(multiply(inverse(X3),multiply(b2,multiply(inverse(b2),b2))))) = multiply(b2,inverse(multiply(inverse(X3),multiply(inverse(b2),b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_23]),c_0_18]),c_0_69]),c_0_63]),c_0_3]),c_0_10]),c_0_18]),c_0_70]),c_0_52]) ).
cnf(c_0_73,plain,
multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,inverse(multiply(inverse(X1),multiply(inverse(b2),b2))))) = X1,
inference(rw,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_74,plain,
multiply(inverse(multiply(multiply(inverse(b2),b2),b2)),multiply(inverse(b2),b2)) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_50]),c_0_58]),c_0_52]),c_0_52]),c_0_52]) ).
cnf(c_0_75,plain,
multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,b2)) = multiply(multiply(inverse(b2),b2),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_66]) ).
cnf(c_0_76,plain,
multiply(inverse(multiply(X1,multiply(inverse(b2),b2))),multiply(X1,b2)) = multiply(multiply(inverse(b2),b2),b2),
inference(spm,[status(thm)],[c_0_10,c_0_75]) ).
cnf(c_0_77,plain,
multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),b2)) = multiply(multiply(inverse(b2),b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_52]),c_0_10]),c_0_18]),c_0_52]) ).
cnf(c_0_78,plain,
multiply(inverse(multiply(X1,b2)),inverse(multiply(multiply(X2,b2),inverse(multiply(multiply(X1,multiply(X2,b2)),multiply(inverse(b2),b2)))))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(spm,[status(thm)],[c_0_11,c_0_47]) ).
cnf(c_0_79,plain,
multiply(b2,multiply(inverse(multiply(multiply(inverse(b2),b2),b2)),b2)) = multiply(multiply(inverse(b2),b2),b2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_74]),c_0_66]) ).
cnf(c_0_80,plain,
multiply(multiply(inverse(b2),b2),b2) = b2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_77]),c_0_36]) ).
cnf(c_0_81,plain,
multiply(multiply(X1,b2),inverse(multiply(multiply(X2,multiply(X1,b2)),multiply(inverse(b2),b2)))) = multiply(b2,inverse(multiply(multiply(X2,b2),multiply(inverse(multiply(b2,b2)),multiply(b2,b2))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_78]),c_0_27]) ).
cnf(c_0_82,plain,
multiply(b2,multiply(inverse(b2),b2)) = b2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80]),c_0_80]) ).
cnf(c_0_83,plain,
multiply(b2,inverse(multiply(multiply(multiply(inverse(b2),b2),b2),multiply(inverse(b2),b2)))) = multiply(inverse(b2),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_58]),c_0_58]),c_0_52]),c_0_58]),c_0_18]) ).
cnf(c_0_84,plain,
multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(inverse(b2),b2)))) = multiply(b2,multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_52]),c_0_18]) ).
cnf(c_0_85,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(X2)))),b2)),inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),inverse(multiply(X2,multiply(inverse(X2),X2)))))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(spm,[status(thm)],[c_0_2,c_0_23]) ).
cnf(c_0_86,plain,
multiply(inverse(multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(X2)))),multiply(inverse(b2),b2)) = inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),inverse(multiply(X2,multiply(inverse(X2),X2))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_23]),c_0_52]),c_0_18]) ).
cnf(c_0_87,plain,
inverse(inverse(b2)) = b2,
inference(spm,[status(thm)],[c_0_66,c_0_82]) ).
cnf(c_0_88,plain,
inverse(multiply(multiply(inverse(b2),b2),inverse(multiply(X1,multiply(inverse(X1),X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_52]),c_0_18]) ).
cnf(c_0_89,plain,
inverse(multiply(inverse(multiply(multiply(multiply(inverse(b2),b2),b2),multiply(inverse(b2),b2))),multiply(inverse(b2),b2))) = multiply(b2,multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_83]),c_0_58]),c_0_52]),c_0_63]) ).
cnf(c_0_90,plain,
multiply(multiply(inverse(X1),X1),multiply(b2,multiply(inverse(b2),b2))) = multiply(b2,multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_69]),c_0_63]) ).
cnf(c_0_91,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(multiply(X1,inverse(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X2)))))),inverse(multiply(X4,multiply(inverse(X4),X4)))))) = inverse(multiply(X3,multiply(inverse(X3),X3))),
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_92,plain,
multiply(inverse(multiply(X1,X2)),inverse(multiply(inverse(inverse(multiply(X3,multiply(inverse(X3),X3)))),inverse(multiply(X3,multiply(inverse(X3),X3)))))) = inverse(multiply(multiply(X1,inverse(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X2)))))),inverse(multiply(X4,multiply(inverse(X4),X4))))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_93,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(X2)))),b2)),multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(X2)))),multiply(inverse(b2),b2))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_94,plain,
multiply(inverse(X1),X1) = multiply(b2,inverse(b2)),
inference(spm,[status(thm)],[c_0_18,c_0_87]) ).
cnf(c_0_95,plain,
multiply(inverse(b2),b2) = multiply(b2,inverse(b2)),
inference(spm,[status(thm)],[c_0_68,c_0_82]) ).
cnf(c_0_96,plain,
multiply(b2,inverse(multiply(inverse(multiply(b2,inverse(multiply(multiply(X1,b2),multiply(inverse(multiply(b2,b2)),multiply(b2,b2)))))),inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(multiply(b2,b2)),multiply(b2,b2))))))) = inverse(multiply(multiply(X1,inverse(multiply(b2,multiply(inverse(b2),b2)))),multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_53]),c_0_10]) ).
cnf(c_0_97,plain,
inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(X1),X1))) = multiply(inverse(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_52]),c_0_70]),c_0_70]),c_0_52]) ).
cnf(c_0_98,plain,
inverse(multiply(multiply(multiply(inverse(b2),b2),b2),multiply(inverse(b2),b2))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_89]),c_0_52]),c_0_90]) ).
cnf(c_0_99,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(b2,inverse(multiply(multiply(inverse(multiply(X1,X2)),b2),multiply(inverse(multiply(b2,b2)),multiply(b2,b2))))))) = inverse(multiply(X3,multiply(inverse(X3),X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92]),c_0_28]) ).
cnf(c_0_100,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(X2)))),b2)),multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(X2)))),multiply(b2,inverse(b2)))) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_82]),c_0_94]) ).
cnf(c_0_101,plain,
inverse(multiply(b2,inverse(multiply(multiply(b2,b2),multiply(b2,inverse(b2)))))) = b2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_82]),c_0_95]) ).
cnf(c_0_102,plain,
inverse(multiply(multiply(inverse(b2),inverse(multiply(b2,multiply(inverse(b2),b2)))),multiply(inverse(b2),b2))) = multiply(b2,multiply(b2,multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_18]),c_0_18]),c_0_70]),c_0_52]),c_0_69]),c_0_63]) ).
cnf(c_0_103,plain,
multiply(multiply(multiply(inverse(b2),b2),b2),multiply(inverse(b2),b2)) = multiply(b2,multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_98]),c_0_13]) ).
cnf(c_0_104,plain,
inverse(multiply(b2,inverse(multiply(multiply(inverse(multiply(X1,X2)),b2),multiply(inverse(b2),b2))))) = multiply(inverse(multiply(X1,X2)),multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_52]),c_0_18]),c_0_92]),c_0_28]),c_0_18]) ).
cnf(c_0_105,plain,
inverse(multiply(X1,multiply(b2,inverse(b2)))) = multiply(inverse(multiply(b2,X1)),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_87]),c_0_87]),c_0_18]),c_0_94]),c_0_101]),c_0_94]) ).
cnf(c_0_106,plain,
inverse(multiply(multiply(inverse(b2),inverse(b2)),multiply(b2,inverse(b2)))) = multiply(b2,b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_82]),c_0_82]),c_0_95]) ).
cnf(c_0_107,plain,
multiply(inverse(multiply(multiply(multiply(inverse(b2),b2),b2),b2)),multiply(b2,multiply(inverse(b2),b2))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_103]),c_0_47]),c_0_81]),c_0_18]),c_0_63]) ).
cnf(c_0_108,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),inverse(multiply(b2,multiply(inverse(b2),b2))))),inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(multiply(b2,b2)),multiply(b2,b2))))))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_34]),c_0_13]) ).
cnf(c_0_109,plain,
inverse(multiply(b2,multiply(inverse(multiply(b2,multiply(inverse(multiply(X1,X2)),b2))),b2))) = multiply(inverse(multiply(X1,X2)),multiply(b2,inverse(b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_95]),c_0_95]),c_0_105]) ).
cnf(c_0_110,plain,
multiply(inverse(multiply(b2,multiply(inverse(b2),inverse(b2)))),b2) = multiply(b2,b2),
inference(rw,[status(thm)],[c_0_106,c_0_105]) ).
cnf(c_0_111,plain,
multiply(inverse(multiply(b2,b2)),b2) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_80]),c_0_82]),c_0_82]) ).
cnf(c_0_112,plain,
inverse(multiply(b2,inverse(b2))) = multiply(b2,inverse(b2)),
inference(spm,[status(thm)],[c_0_52,c_0_87]) ).
cnf(c_0_113,plain,
multiply(multiply(b2,inverse(b2)),b2) = b2,
inference(rw,[status(thm)],[c_0_80,c_0_95]) ).
cnf(c_0_114,plain,
multiply(inverse(multiply(X1,b2)),inverse(multiply(b2,inverse(multiply(multiply(X1,b2),multiply(b2,inverse(b2))))))) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_82]),c_0_94]) ).
cnf(c_0_115,plain,
multiply(inverse(b2),multiply(b2,inverse(b2))) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_80]),c_0_82]),c_0_95]) ).
cnf(c_0_116,plain,
multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),inverse(multiply(b2,multiply(inverse(b2),b2))))),inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(multiply(X1,b2)),multiply(X1,b2))))))) = inverse(multiply(b2,multiply(inverse(b2),b2))),
inference(spm,[status(thm)],[c_0_108,c_0_10]) ).
cnf(c_0_117,plain,
multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(b2))) = inverse(multiply(b2,b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_112]),c_0_113]) ).
cnf(c_0_118,plain,
multiply(b2,inverse(multiply(b2,b2))) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_111]),c_0_87]),c_0_115]),c_0_87]) ).
cnf(c_0_119,plain,
multiply(inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),inverse(multiply(b2,multiply(inverse(b2),b2))))),inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(multiply(b2,b2)),multiply(b2,b2))))) = multiply(inverse(multiply(inverse(multiply(b2,b2)),inverse(multiply(b2,multiply(inverse(b2),b2))))),inverse(multiply(b2,multiply(inverse(b2),b2)))),
inference(spm,[status(thm)],[c_0_13,c_0_108]) ).
cnf(c_0_120,plain,
multiply(b2,inverse(multiply(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(b2)))),multiply(b2,inverse(b2))),multiply(b2,inverse(b2))))) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_86]),c_0_97]),c_0_18]),c_0_82]),c_0_94]),c_0_94]) ).
cnf(c_0_121,plain,
inverse(inverse(multiply(b2,b2))) = multiply(b2,b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_117]),c_0_118]),c_0_87]) ).
cnf(c_0_122,plain,
multiply(inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),inverse(multiply(b2,multiply(inverse(b2),b2))))),inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(multiply(X1,b2)),multiply(X1,b2))))) = multiply(inverse(multiply(inverse(multiply(b2,b2)),inverse(multiply(b2,multiply(inverse(b2),b2))))),inverse(multiply(b2,multiply(inverse(b2),b2)))),
inference(spm,[status(thm)],[c_0_119,c_0_10]) ).
cnf(c_0_123,plain,
multiply(b2,multiply(inverse(multiply(b2,multiply(multiply(b2,b2),multiply(b2,inverse(b2))))),b2)) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_105]),c_0_105]),c_0_118]),c_0_87]) ).
cnf(c_0_124,plain,
multiply(inverse(multiply(X1,b2)),inverse(multiply(X2,inverse(multiply(multiply(X1,X2),multiply(b2,inverse(b2))))))) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_18]),c_0_82]),c_0_94]) ).
cnf(c_0_125,plain,
multiply(multiply(b2,b2),inverse(multiply(b2,b2))) = multiply(b2,inverse(b2)),
inference(spm,[status(thm)],[c_0_94,c_0_121]) ).
cnf(c_0_126,plain,
multiply(b2,multiply(b2,inverse(b2))) = b2,
inference(rw,[status(thm)],[c_0_82,c_0_95]) ).
cnf(c_0_127,plain,
multiply(inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),inverse(multiply(b2,multiply(inverse(b2),b2))))),multiply(inverse(b2),b2)) = multiply(inverse(multiply(inverse(multiply(b2,b2)),inverse(multiply(b2,multiply(inverse(b2),b2))))),inverse(multiply(b2,multiply(inverse(b2),b2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_97]),c_0_18]) ).
cnf(c_0_128,plain,
multiply(b2,multiply(b2,inverse(multiply(inverse(X1),multiply(b2,b2))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_123]),c_0_87]),c_0_94]),c_0_105]),c_0_123]),c_0_87]) ).
cnf(c_0_129,plain,
multiply(inverse(multiply(multiply(b2,b2),b2)),multiply(b2,b2)) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_105]),c_0_126]),c_0_94]),c_0_117]),c_0_121]) ).
cnf(c_0_130,plain,
multiply(b2,inverse(multiply(inverse(multiply(b2,X1)),multiply(b2,b2)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_123]),c_0_87]),c_0_94]),c_0_105]),c_0_123]),c_0_87]) ).
cnf(c_0_131,plain,
multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,multiply(b2,multiply(inverse(b2),b2)))) = multiply(b2,multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_102]),c_0_18]),c_0_70]),c_0_52]) ).
cnf(c_0_132,plain,
multiply(inverse(multiply(inverse(multiply(b2,b2)),inverse(multiply(b2,multiply(inverse(b2),b2))))),inverse(multiply(b2,multiply(inverse(b2),b2)))) = multiply(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,inverse(b2)))),multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),
inference(rw,[status(thm)],[c_0_127,c_0_86]) ).
cnf(c_0_133,plain,
multiply(inverse(multiply(X1,multiply(inverse(b2),b2))),multiply(X1,b2)) = b2,
inference(rw,[status(thm)],[c_0_76,c_0_80]) ).
cnf(c_0_134,plain,
multiply(multiply(b2,b2),b2) = multiply(b2,multiply(b2,b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_87]) ).
cnf(c_0_135,plain,
multiply(multiply(b2,b2),multiply(b2,inverse(b2))) = multiply(b2,b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_129]),c_0_87]),c_0_94]),c_0_126]),c_0_112]) ).
cnf(c_0_136,plain,
multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(b2))) = inverse(multiply(b2,b2)),
inference(spm,[status(thm)],[c_0_10,c_0_117]) ).
cnf(c_0_137,plain,
multiply(b2,inverse(multiply(b2,multiply(b2,b2)))) = inverse(multiply(b2,b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_118]),c_0_87]) ).
cnf(c_0_138,plain,
multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,multiply(inverse(X4),X4)))))),inverse(multiply(X5,multiply(inverse(X5),X5)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X5)),X6)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X4)),X7)),X3)),inverse(multiply(X7,multiply(inverse(X7),X7)))))),inverse(multiply(X6,multiply(inverse(X6),X6))))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_139,plain,
multiply(inverse(b2),multiply(b2,b2)) = b2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_82]),c_0_82]),c_0_82]) ).
cnf(c_0_140,plain,
multiply(inverse(multiply(inverse(multiply(b2,b2)),inverse(b2))),inverse(b2)) = multiply(multiply(multiply(b2,b2),multiply(b2,inverse(b2))),multiply(b2,inverse(b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_95]),c_0_95]),c_0_95]),c_0_95]),c_0_126]),c_0_126]),c_0_105]),c_0_118]),c_0_87]) ).
cnf(c_0_141,plain,
multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,multiply(inverse(X4),X4)))))))),multiply(X1,X5)) = multiply(inverse(X3),multiply(inverse(multiply(X2,X4)),X5)),
inference(spm,[status(thm)],[c_0_10,c_0_4]) ).
cnf(c_0_142,plain,
multiply(b2,inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,b2)))) = X2,
inference(spm,[status(thm)],[c_0_130,c_0_10]) ).
cnf(c_0_143,plain,
multiply(inverse(multiply(b2,b2)),multiply(b2,multiply(b2,b2))) = b2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_94]),c_0_135]) ).
cnf(c_0_144,plain,
multiply(b2,multiply(inverse(multiply(b2,b2)),inverse(b2))) = inverse(multiply(b2,b2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_111]),c_0_87]) ).
cnf(c_0_145,plain,
multiply(b2,inverse(multiply(multiply(b2,b2),multiply(b2,b2)))) = inverse(multiply(b2,multiply(b2,b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_137]),c_0_121]) ).
cnf(c_0_146,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X6)),X7)),X8)),multiply(inverse(multiply(b2,X7)),b2)))),multiply(inverse(multiply(b2,X4)),b2)))),X9)),inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X6)),X7)),X8)),multiply(inverse(multiply(b2,X7)),b2)))),multiply(inverse(multiply(b2,X4)),b2)),multiply(multiply(X2,inverse(multiply(multiply(X5,inverse(multiply(inverse(X8),multiply(inverse(multiply(b2,X6)),b2)))),multiply(inverse(multiply(b2,X3)),b2)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X4)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,X6)),X7)),X8)),multiply(inverse(multiply(b2,X7)),b2)))),multiply(inverse(multiply(b2,X4)),b2)))))))) = X9,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_138]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]) ).
cnf(c_0_147,plain,
multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X7)),X8)),X9)),multiply(inverse(multiply(b2,X8)),b2)))),multiply(inverse(multiply(b2,X5)),b2)),multiply(multiply(X3,inverse(multiply(multiply(X6,inverse(multiply(inverse(X9),multiply(inverse(multiply(b2,X7)),b2)))),multiply(inverse(multiply(b2,X4)),b2)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X7)),X8)),X9)),multiply(inverse(multiply(b2,X8)),b2)))),multiply(inverse(multiply(b2,X5)),b2)))))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X7)),X8)),X9)),multiply(inverse(multiply(b2,X8)),b2)))),multiply(inverse(multiply(b2,X5)),b2)))),X10)),X2)),multiply(inverse(multiply(b2,X10)),b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_138]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]) ).
cnf(c_0_148,plain,
multiply(multiply(b2,b2),inverse(b2)) = b2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_139]),c_0_82]),c_0_18]),c_0_70]),c_0_52]),c_0_82]) ).
cnf(c_0_149,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
prove_these_axioms_2 ).
cnf(c_0_150,plain,
multiply(X1,inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4)),inverse(multiply(X3,multiply(inverse(X3),X3)))))),X5)),inverse(multiply(inverse(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(inverse(b2),b2)))))) = X5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_3]),c_0_18]) ).
cnf(c_0_151,plain,
multiply(inverse(multiply(inverse(multiply(b2,b2)),inverse(b2))),inverse(b2)) = multiply(b2,b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_135]),c_0_135]) ).
cnf(c_0_152,plain,
multiply(multiply(b2,inverse(b2)),multiply(b2,inverse(b2))) = multiply(b2,inverse(b2)),
inference(spm,[status(thm)],[c_0_94,c_0_112]) ).
cnf(c_0_153,plain,
multiply(inverse(multiply(X1,multiply(X2,inverse(multiply(X3,inverse(multiply(X4,multiply(inverse(X4),X4)))))))),multiply(X1,X5)) = multiply(X3,multiply(inverse(multiply(X2,X4)),X5)),
inference(spm,[status(thm)],[c_0_141,c_0_36]) ).
cnf(c_0_154,plain,
multiply(multiply(inverse(multiply(b2,X1)),b2),multiply(X1,b2)) = b2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_94]),c_0_105]) ).
cnf(c_0_155,plain,
multiply(inverse(multiply(b2,X1)),b2) = multiply(b2,inverse(multiply(X1,b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_20]),c_0_94]),c_0_112]),c_0_113]),c_0_94]),c_0_105]) ).
cnf(c_0_156,plain,
multiply(inverse(multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(b2,X4)),b2)))),multiply(inverse(multiply(b2,X5)),b2))))),multiply(X1,inverse(multiply(inverse(X6),inverse(multiply(inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(b2,X4)),b2)))),multiply(inverse(multiply(b2,X5)),b2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(b2,X4)),b2)))),multiply(inverse(multiply(b2,X5)),b2)))),X5)),X7)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X4)),X8)),X3)),multiply(inverse(multiply(b2,X8)),b2)))),multiply(inverse(multiply(b2,X7)),b2))))))))) = X6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_138]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]) ).
cnf(c_0_157,plain,
multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(multiply(multiply(X3,inverse(multiply(inverse(X4),multiply(inverse(multiply(b2,X5)),b2)))),multiply(inverse(multiply(b2,X6)),b2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(multiply(X3,inverse(multiply(inverse(X4),multiply(inverse(multiply(b2,X5)),b2)))),multiply(inverse(multiply(b2,X6)),b2)))),X6)),X7)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X5)),X8)),X4)),multiply(inverse(multiply(b2,X8)),b2)))),multiply(inverse(multiply(b2,X7)),b2)))))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(multiply(X3,inverse(multiply(inverse(X4),multiply(inverse(multiply(b2,X5)),b2)))),multiply(inverse(multiply(b2,X6)),b2))))),X9)),X2)),multiply(inverse(multiply(b2,X9)),b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_138]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]),c_0_94]),c_0_105]) ).
cnf(c_0_158,plain,
multiply(inverse(multiply(X1,b2)),multiply(X1,multiply(b2,b2))) = b2,
inference(spm,[status(thm)],[c_0_10,c_0_143]) ).
cnf(c_0_159,plain,
multiply(inverse(multiply(b2,b2)),inverse(b2)) = inverse(multiply(b2,multiply(b2,b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_144]),c_0_121]),c_0_145]) ).
cnf(c_0_160,plain,
inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,X1))),inverse(b2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147]),c_0_10]),c_0_111]) ).
cnf(c_0_161,plain,
multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(multiply(b2,multiply(inverse(b2),b2))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,b2)),multiply(X2,inverse(X3)))),b2)),X3),
inference(spm,[status(thm)],[c_0_4,c_0_23]) ).
cnf(c_0_162,plain,
multiply(inverse(multiply(b2,multiply(b2,b2))),b2) = multiply(inverse(b2),inverse(b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_110]),c_0_94]),c_0_126]),c_0_148]),c_0_18]),c_0_94]),c_0_105]) ).
cnf(c_0_163,negated_conjecture,
multiply(multiply(inverse(X1),X1),a2) != a2,
inference(spm,[status(thm)],[c_0_149,c_0_18]) ).
cnf(c_0_164,plain,
multiply(b2,multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),X1)))),b2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_87]),c_0_115]),c_0_87]),c_0_111]),c_0_87]),c_0_87]),c_0_94]),c_0_126]),c_0_112]),c_0_94]),c_0_152]),c_0_112]),c_0_105]) ).
cnf(c_0_165,plain,
multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4)),inverse(multiply(X3,multiply(inverse(X3),X3)))))),multiply(X1,inverse(multiply(inverse(X5),inverse(multiply(inverse(multiply(inverse(X4),inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(inverse(b2),b2))))))) = X5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_3]),c_0_18]) ).
cnf(c_0_166,plain,
multiply(b2,multiply(inverse(multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,b2)),multiply(X2,inverse(b2)))),b2))),X3)) = multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(inverse(multiply(X1,b2)),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_34]),c_0_153]) ).
cnf(c_0_167,plain,
multiply(multiply(b2,inverse(multiply(X1,b2))),multiply(X1,b2)) = b2,
inference(rw,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_168,plain,
multiply(inverse(multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(b2,X4)),b2)))),multiply(inverse(multiply(b2,X5)),b2))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(multiply(b2,X4)),b2)))),multiply(inverse(multiply(b2,X5)),b2))))),b2)),X6)),inverse(b2)))) = X6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_157]),c_0_111]) ).
cnf(c_0_169,plain,
multiply(inverse(multiply(inverse(b2),X1)),inverse(b2)) = multiply(inverse(multiply(b2,X1)),b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_158]),c_0_94]),c_0_18]),c_0_94]),c_0_152]),c_0_112]),c_0_126]),c_0_94]),c_0_105]) ).
cnf(c_0_170,plain,
multiply(b2,inverse(multiply(multiply(b2,multiply(b2,b2)),inverse(b2)))) = inverse(b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_143]),c_0_111]),c_0_87]),c_0_126]) ).
cnf(c_0_171,plain,
inverse(multiply(inverse(b2),multiply(b2,multiply(b2,b2)))) = inverse(multiply(b2,b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_159]),c_0_94]),c_0_105]),c_0_137]),c_0_121]),c_0_134]),c_0_104]),c_0_94]),c_0_136]) ).
cnf(c_0_172,plain,
multiply(multiply(b2,b2),inverse(multiply(X1,b2))) = multiply(b2,multiply(inverse(multiply(b2,X1)),b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_160]),c_0_161]),c_0_68]),c_0_94]),c_0_117]),c_0_121]),c_0_94]),c_0_126]),c_0_94]),c_0_105]) ).
cnf(c_0_173,plain,
multiply(inverse(b2),inverse(b2)) = inverse(multiply(b2,b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_121]),c_0_70]),c_0_94]),c_0_112]),c_0_105]),c_0_162]),c_0_104]),c_0_94]),c_0_117]) ).
cnf(c_0_174,negated_conjecture,
multiply(multiply(X1,multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(X1,multiply(inverse(X1),X1))))),a2) != a2,
inference(spm,[status(thm)],[c_0_163,c_0_19]) ).
cnf(c_0_175,plain,
inverse(multiply(inverse(multiply(b2,multiply(b2,X1))),multiply(b2,b2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_123]),c_0_87]),c_0_94]),c_0_105]),c_0_123]),c_0_87]) ).
cnf(c_0_176,plain,
multiply(b2,multiply(b2,inverse(multiply(inverse(multiply(inverse(b2),X1)),b2)))) = X1,
inference(rw,[status(thm)],[c_0_164,c_0_155]) ).
cnf(c_0_177,plain,
multiply(inverse(b2),multiply(b2,multiply(inverse(multiply(b2,inverse(X1))),b2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_151]),c_0_87]),c_0_115]),c_0_87]),c_0_111]),c_0_87]),c_0_87]),c_0_94]),c_0_126]),c_0_112]),c_0_94]),c_0_152]),c_0_112]),c_0_105]) ).
cnf(c_0_178,plain,
multiply(inverse(b2),multiply(b2,X1)) = multiply(b2,multiply(inverse(b2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_94]),c_0_126]),c_0_136]),c_0_121]),c_0_134]),c_0_137]),c_0_155]),c_0_118]),c_0_87]) ).
cnf(c_0_179,plain,
multiply(multiply(b2,inverse(b2)),inverse(multiply(inverse(multiply(b2,X1)),b2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_94]),c_0_112]),c_0_112]),c_0_113]),c_0_169]) ).
cnf(c_0_180,plain,
multiply(multiply(b2,multiply(b2,b2)),inverse(b2)) = multiply(b2,b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_170]),c_0_94]),c_0_126]),c_0_140]),c_0_135]),c_0_135]) ).
cnf(c_0_181,plain,
multiply(inverse(b2),multiply(b2,multiply(b2,b2))) = multiply(b2,b2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_171]),c_0_18]),c_0_94]),c_0_112]),c_0_126]) ).
cnf(c_0_182,plain,
multiply(multiply(b2,b2),inverse(multiply(X1,b2))) = multiply(b2,multiply(b2,inverse(multiply(X1,b2)))),
inference(rw,[status(thm)],[c_0_172,c_0_155]) ).
cnf(c_0_183,plain,
inverse(multiply(inverse(multiply(multiply(b2,b2),multiply(inverse(b2),X1))),b2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_173]),c_0_121]),c_0_87]),c_0_115]),c_0_87]) ).
cnf(c_0_184,negated_conjecture,
multiply(multiply(X1,multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(X1,multiply(inverse(X3),X3))))),a2) != a2,
inference(spm,[status(thm)],[c_0_174,c_0_18]) ).
cnf(c_0_185,plain,
inverse(multiply(inverse(multiply(X1,multiply(b2,X2))),multiply(X1,b2))) = X2,
inference(spm,[status(thm)],[c_0_175,c_0_10]) ).
cnf(c_0_186,plain,
inverse(multiply(inverse(multiply(inverse(b2),X1)),b2)) = inverse(multiply(inverse(X1),multiply(b2,b2))),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_187,plain,
multiply(b2,multiply(b2,multiply(inverse(b2),inverse(multiply(inverse(X1),b2))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178]),c_0_155]),c_0_178]) ).
cnf(c_0_188,plain,
inverse(multiply(b2,inverse(multiply(X1,b2)))) = multiply(b2,inverse(multiply(inverse(X1),b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_179]),c_0_113]),c_0_155]) ).
cnf(c_0_189,plain,
multiply(inverse(multiply(multiply(b2,multiply(b2,b2)),b2)),multiply(b2,b2)) = inverse(multiply(b2,b2)),
inference(spm,[status(thm)],[c_0_136,c_0_180]) ).
cnf(c_0_190,plain,
multiply(inverse(multiply(b2,multiply(b2,multiply(b2,b2)))),b2) = inverse(multiply(b2,multiply(b2,b2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_181]),c_0_159]) ).
cnf(c_0_191,plain,
multiply(multiply(b2,b2),X1) = multiply(b2,multiply(b2,X1)),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_192,negated_conjecture,
multiply(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X3),X3)))),a2) != a2,
inference(spm,[status(thm)],[c_0_184,c_0_18]) ).
cnf(c_0_193,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),X6)),inverse(multiply(X5,multiply(inverse(X5),X5))))))) = multiply(inverse(multiply(inverse(multiply(X3,X4)),X2)),X6),
inference(spm,[status(thm)],[c_0_6,c_0_3]) ).
cnf(c_0_194,plain,
inverse(multiply(multiply(b2,inverse(b2)),X1)) = inverse(multiply(b2,multiply(inverse(b2),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_185]),c_0_94]),c_0_112]),c_0_178]) ).
cnf(c_0_195,plain,
inverse(multiply(X1,multiply(b2,inverse(b2)))) = multiply(b2,inverse(multiply(X1,b2))),
inference(rw,[status(thm)],[c_0_105,c_0_155]) ).
cnf(c_0_196,plain,
multiply(inverse(multiply(inverse(b2),X1)),b2) = multiply(inverse(X1),multiply(b2,b2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_186]),c_0_94]),c_0_126]),c_0_94]),c_0_105]),c_0_155]),c_0_178]),c_0_178]),c_0_187]) ).
cnf(c_0_197,plain,
multiply(multiply(b2,inverse(b2)),multiply(b2,inverse(multiply(inverse(X1),b2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_155]),c_0_188]) ).
cnf(c_0_198,plain,
multiply(inverse(multiply(b2,multiply(b2,X1))),multiply(b2,b2)) = multiply(b2,inverse(multiply(X1,b2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_189]),c_0_121]),c_0_121]),c_0_134]),c_0_18]),c_0_94]),c_0_105]),c_0_190]),c_0_137]),c_0_121]),c_0_94]),c_0_105]),c_0_191]),c_0_155]) ).
cnf(c_0_199,negated_conjecture,
multiply(multiply(multiply(b2,inverse(b2)),multiply(multiply(b2,inverse(b2)),multiply(b2,inverse(b2)))),a2) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_52]),c_0_2]),c_0_52]),c_0_52]),c_0_94]),c_0_94]),c_0_94]) ).
cnf(c_0_200,plain,
multiply(multiply(b2,inverse(b2)),X1) = multiply(b2,multiply(inverse(b2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_194]),c_0_94]),c_0_126]),c_0_94]),c_0_195]),c_0_155]),c_0_188]),c_0_196]),c_0_128]),c_0_178]) ).
cnf(c_0_201,plain,
multiply(multiply(b2,inverse(b2)),multiply(b2,X1)) = multiply(b2,multiply(b2,multiply(inverse(b2),X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_183]),c_0_191]) ).
cnf(c_0_202,plain,
multiply(b2,inverse(multiply(inverse(multiply(multiply(b2,inverse(b2)),X1)),b2))) = X1,
inference(spm,[status(thm)],[c_0_142,c_0_113]) ).
cnf(c_0_203,plain,
multiply(b2,inverse(multiply(inverse(X1),b2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_198]),c_0_188]) ).
cnf(c_0_204,negated_conjecture,
multiply(b2,multiply(inverse(b2),a2)) != a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_200]),c_0_201]),c_0_173]),c_0_118]),c_0_178]),c_0_173]),c_0_118]),c_0_200]) ).
cnf(c_0_205,plain,
multiply(b2,multiply(inverse(b2),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_203]),c_0_200]) ).
cnf(c_0_206,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_205])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP404-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 23:58:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 13.08/13.13 % Version : CSE_E---1.5
% 13.08/13.13 % Problem : theBenchmark.p
% 13.08/13.13 % Proof found
% 13.08/13.13 % SZS status Theorem for theBenchmark.p
% 13.08/13.13 % SZS output start Proof
% See solution above
% 13.10/13.15 % Total time : 12.563000 s
% 13.10/13.15 % SZS output end Proof
% 13.10/13.15 % Total time : 12.567000 s
%------------------------------------------------------------------------------