TSTP Solution File: GRP307-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP307-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 00:18:19 EDT 2023
% Result : Unsatisfiable 2.82s 2.89s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 69
% Syntax : Number of formulae : 388 ( 18 unt; 14 typ; 0 def)
% Number of atoms : 886 ( 885 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 676 ( 164 ~; 512 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 114 ( 1 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
identity: $i ).
tff(decl_23,type,
multiply: ( $i * $i ) > $i ).
tff(decl_24,type,
inverse: $i > $i ).
tff(decl_25,type,
sk_c11: $i ).
tff(decl_26,type,
sk_c10: $i ).
tff(decl_27,type,
sk_c9: $i ).
tff(decl_28,type,
sk_c3: $i ).
tff(decl_29,type,
sk_c4: $i ).
tff(decl_30,type,
sk_c5: $i ).
tff(decl_31,type,
sk_c8: $i ).
tff(decl_32,type,
sk_c7: $i ).
tff(decl_33,type,
sk_c6: $i ).
tff(decl_34,type,
sk_c2: $i ).
tff(decl_35,type,
sk_c1: $i ).
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(prove_this_56,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
cnf(prove_this_61,negated_conjecture,
( multiply(sk_c11,sk_c10) != sk_c9
| inverse(sk_c11) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c11
| multiply(sk_c11,X1) != sk_c10
| multiply(X2,sk_c11) != X1
| inverse(X2) != sk_c11
| multiply(X3,sk_c11) != sk_c10
| inverse(X3) != sk_c11
| multiply(X4,sk_c10) != sk_c9
| inverse(X4) != sk_c10
| multiply(X5,X6) != sk_c11
| inverse(X5) != X6
| multiply(X6,sk_c10) != sk_c11
| inverse(X7) != X8
| inverse(X8) != X6
| multiply(X7,X6) != X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
cnf(prove_this_16,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(prove_this_17,negated_conjecture,
( inverse(sk_c11) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(prove_this_27,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(prove_this_7,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(prove_this_48,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
cnf(prove_this_55,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
cnf(prove_this_47,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
cnf(prove_this_57,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
cnf(prove_this_37,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(prove_this_49,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
cnf(prove_this_58,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
cnf(prove_this_15,negated_conjecture,
( inverse(sk_c11) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(prove_this_38,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
cnf(prove_this_59,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
cnf(prove_this_18,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(prove_this_45,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
cnf(prove_this_39,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
cnf(prove_this_19,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(prove_this_28,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(prove_this_3,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(prove_this_46,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
cnf(prove_this_29,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(prove_this_4,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(prove_this_23,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(prove_this_8,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(prove_this_9,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(prove_this_24,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(prove_this_5,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(prove_this_25,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(prove_this_26,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_40,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
cnf(prove_this_32,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(prove_this_31,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(prove_this_41,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
cnf(prove_this_42,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
cnf(prove_this_52,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
cnf(prove_this_1,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(prove_this_12,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(prove_this_51,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
cnf(prove_this_2,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(prove_this_21,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(prove_this_11,negated_conjecture,
( inverse(sk_c11) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(prove_this_22,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(prove_this_10,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
cnf(prove_this_34,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(prove_this_33,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(prove_this_14,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(prove_this_13,negated_conjecture,
( inverse(sk_c11) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(prove_this_54,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
cnf(c_0_55,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_56,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_57,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_58,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_59,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_58,c_0_58]) ).
cnf(c_0_60,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_56]),c_0_59]) ).
cnf(c_0_61,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c8 ),
prove_this_56 ).
cnf(c_0_62,negated_conjecture,
( multiply(sk_c11,sk_c10) != sk_c9
| inverse(sk_c11) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c11
| multiply(sk_c11,X1) != sk_c10
| multiply(X2,sk_c11) != X1
| inverse(X2) != sk_c11
| multiply(X3,sk_c11) != sk_c10
| inverse(X3) != sk_c11
| multiply(X4,sk_c10) != sk_c9
| inverse(X4) != sk_c10
| multiply(X5,X6) != sk_c11
| inverse(X5) != X6
| multiply(X6,sk_c10) != sk_c11
| inverse(X7) != X8
| inverse(X8) != X6
| multiply(X7,X6) != X8 ),
prove_this_61 ).
cnf(c_0_63,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c5) = sk_c8 ),
prove_this_16 ).
cnf(c_0_64,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| inverse(sk_c1) = sk_c11 ),
inference(spm,[status(thm)],[c_0_56,c_0_61]) ).
cnf(c_0_66,negated_conjecture,
( multiply(sk_c11,multiply(X1,sk_c11)) != sk_c10
| inverse(multiply(X2,inverse(X3))) != inverse(X3)
| multiply(inverse(X3),sk_c10) != sk_c11
| multiply(X2,inverse(X3)) != inverse(X2)
| multiply(sk_c11,sk_c10) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c11
| multiply(X3,inverse(X3)) != sk_c11
| multiply(X4,sk_c10) != sk_c9
| multiply(X5,sk_c11) != sk_c10
| inverse(sk_c11) != sk_c9
| inverse(X4) != sk_c10
| inverse(X5) != sk_c11
| inverse(X1) != sk_c11 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_62])])]) ).
cnf(c_0_67,negated_conjecture,
( inverse(sk_c11) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c11 ),
prove_this_17 ).
cnf(c_0_68,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c8,sk_c10) = sk_c11 ),
prove_this_27 ).
cnf(c_0_69,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c11 ),
prove_this_7 ).
cnf(c_0_70,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| inverse(sk_c7) = sk_c6 ),
prove_this_48 ).
cnf(c_0_71,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
prove_this_55 ).
cnf(c_0_72,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| inverse(sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_56,c_0_63]) ).
cnf(c_0_73,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| inverse(sk_c11) = sk_c1 ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_74,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c11,multiply(X1,sk_c11)) != sk_c10
| inverse(multiply(X2,inverse(X3))) != inverse(X3)
| multiply(inverse(X3),sk_c10) != sk_c11
| multiply(X2,inverse(X3)) != inverse(X2)
| multiply(X3,inverse(X3)) != sk_c11
| multiply(X4,sk_c10) != sk_c9
| multiply(X5,sk_c11) != sk_c10
| inverse(X4) != sk_c10
| inverse(X5) != sk_c11
| inverse(X1) != sk_c11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_69]) ).
cnf(c_0_75,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| multiply(sk_c8,sk_c10) = sk_c11 ),
prove_this_47 ).
cnf(c_0_76,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c8,sk_c10) = sk_c11 ),
prove_this_57 ).
cnf(c_0_77,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
prove_this_37 ).
cnf(c_0_78,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| inverse(sk_c6) = sk_c8 ),
prove_this_49 ).
cnf(c_0_79,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| inverse(sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_64,c_0_70]) ).
cnf(c_0_80,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c7) = sk_c6 ),
prove_this_58 ).
cnf(c_0_81,negated_conjecture,
( inverse(sk_c11) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
prove_this_15 ).
cnf(c_0_82,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c11) = sk_c1 ),
inference(spm,[status(thm)],[c_0_64,c_0_71]) ).
cnf(c_0_83,negated_conjecture,
( multiply(sk_c8,sk_c5) = identity
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_84,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c7) = sk_c6 ),
prove_this_38 ).
cnf(c_0_85,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c10) != sk_c11
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(X2,inverse(X2)) != sk_c11
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c11) != sk_c10
| inverse(X3) != sk_c10
| inverse(X4) != sk_c11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77]) ).
cnf(c_0_86,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_87,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c8 ),
prove_this_59 ).
cnf(c_0_88,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_64,c_0_80]) ).
cnf(c_0_89,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c7) = sk_c6 ),
prove_this_18 ).
cnf(c_0_90,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c11 ),
prove_this_45 ).
cnf(c_0_91,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,negated_conjecture,
( inverse(sk_c8) = sk_c5
| sk_c1 = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_83]),c_0_60]) ).
cnf(c_0_93,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c6) = sk_c8 ),
prove_this_39 ).
cnf(c_0_94,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_64,c_0_84]) ).
cnf(c_0_95,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(X1,multiply(X2,inverse(X3))) != inverse(multiply(X1,X2))
| inverse(multiply(X1,multiply(X2,inverse(X3)))) != inverse(X3)
| multiply(inverse(X3),sk_c10) != sk_c11
| multiply(X3,inverse(X3)) != sk_c11
| multiply(X4,sk_c10) != sk_c9
| multiply(X5,sk_c11) != sk_c10
| inverse(X4) != sk_c10
| inverse(X5) != sk_c11 ),
inference(spm,[status(thm)],[c_0_85,c_0_55]) ).
cnf(c_0_96,negated_conjecture,
( multiply(sk_c11,multiply(sk_c1,X1)) = X1
| multiply(sk_c8,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_58,c_0_76]) ).
cnf(c_0_97,negated_conjecture,
( multiply(inverse(sk_c1),sk_c2) = sk_c11
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_58,c_0_86]) ).
cnf(c_0_98,negated_conjecture,
( inverse(sk_c1) = sk_c11
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_99,negated_conjecture,
( multiply(sk_c9,multiply(sk_c11,X1)) = X1
| multiply(sk_c8,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_58,c_0_67]) ).
cnf(c_0_100,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c6) = sk_c8 ),
prove_this_19 ).
cnf(c_0_101,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_64,c_0_89]) ).
cnf(c_0_102,negated_conjecture,
( multiply(inverse(sk_c5),sk_c11) = sk_c8
| multiply(sk_c1,sk_c11) = sk_c2 ),
inference(spm,[status(thm)],[c_0_58,c_0_90]) ).
cnf(c_0_103,negated_conjecture,
( multiply(inverse(sk_c5),sk_c11) = sk_c8
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_58,c_0_91]) ).
cnf(c_0_104,negated_conjecture,
( inverse(sk_c5) = sk_c8
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_64,c_0_92]) ).
cnf(c_0_105,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c7) = sk_c6 ),
prove_this_28 ).
cnf(c_0_106,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_107,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(X1) != inverse(multiply(sk_c11,sk_c1))
| multiply(inverse(X1),sk_c10) != sk_c11
| multiply(X1,inverse(X1)) != sk_c11
| multiply(X2,sk_c10) != sk_c9
| multiply(X3,sk_c11) != sk_c10
| inverse(X2) != sk_c10
| inverse(X3) != sk_c11
| inverse(X1) != X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_64]) ).
cnf(c_0_108,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c11
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_109,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
prove_this_3 ).
cnf(c_0_110,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(X1) != inverse(multiply(sk_c9,sk_c11))
| multiply(inverse(X1),sk_c10) != sk_c11
| multiply(X1,inverse(X1)) != sk_c11
| multiply(X2,sk_c10) != sk_c9
| multiply(X3,sk_c11) != sk_c10
| inverse(X2) != sk_c10
| inverse(X3) != sk_c11
| inverse(X1) != X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_99]),c_0_64]) ).
cnf(c_0_111,negated_conjecture,
( inverse(sk_c11) = sk_c9
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_112,negated_conjecture,
( multiply(inverse(inverse(sk_c5)),sk_c8) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c2 ),
inference(spm,[status(thm)],[c_0_58,c_0_102]) ).
cnf(c_0_113,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| inverse(sk_c5) = sk_c8 ),
prove_this_46 ).
cnf(c_0_114,negated_conjecture,
( multiply(sk_c8,sk_c11) = sk_c8
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_115,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c8 ),
prove_this_29 ).
cnf(c_0_116,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_64,c_0_105]) ).
cnf(c_0_117,negated_conjecture,
( multiply(inverse(sk_c11),sk_c10) = sk_c2
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_58,c_0_106]) ).
cnf(c_0_118,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c11,multiply(sk_c1,inverse(multiply(sk_c11,sk_c1)))) != sk_c11
| multiply(inverse(multiply(sk_c11,sk_c1)),sk_c10) != sk_c11
| inverse(multiply(sk_c11,sk_c1)) != multiply(sk_c11,sk_c1)
| multiply(X1,sk_c10) != sk_c9
| multiply(X2,sk_c11) != sk_c10
| inverse(X1) != sk_c10
| inverse(X2) != sk_c11 ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_107]),c_0_55]) ).
cnf(c_0_119,negated_conjecture,
( multiply(sk_c11,sk_c1) = identity
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_56,c_0_98]) ).
cnf(c_0_120,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_56,c_0_60]) ).
cnf(c_0_121,negated_conjecture,
( sk_c7 = sk_c8
| sk_c10 = sk_c11 ),
inference(spm,[status(thm)],[c_0_106,c_0_108]) ).
cnf(c_0_122,negated_conjecture,
( multiply(inverse(sk_c4),sk_c9) = sk_c10
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_58,c_0_109]) ).
cnf(c_0_123,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
prove_this_4 ).
cnf(c_0_124,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c9,multiply(sk_c11,inverse(multiply(sk_c9,sk_c11)))) != sk_c11
| multiply(inverse(multiply(sk_c9,sk_c11)),sk_c10) != sk_c11
| inverse(multiply(sk_c9,sk_c11)) != multiply(sk_c9,sk_c11)
| multiply(X1,sk_c10) != sk_c9
| multiply(X2,sk_c11) != sk_c10
| inverse(X1) != sk_c10
| inverse(X2) != sk_c11 ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_110]),c_0_55]) ).
cnf(c_0_125,negated_conjecture,
( multiply(sk_c9,sk_c11) = identity
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_56,c_0_111]) ).
cnf(c_0_126,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| sk_c11 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_56]) ).
cnf(c_0_127,negated_conjecture,
( sk_c1 = sk_c9
| sk_c11 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_114]),c_0_56]) ).
cnf(c_0_128,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_129,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c2
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_117,c_0_111]) ).
cnf(c_0_130,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c7 = sk_c8
| multiply(sk_c11,sk_c1) != sk_c11
| multiply(X1,sk_c10) != sk_c9
| multiply(X2,sk_c11) != sk_c10
| inverse(X1) != sk_c10
| inverse(X2) != sk_c11 ),
inference(csr,[status(thm)],[inference(cn,[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_118,c_0_119]),c_0_120]),c_0_60]),c_0_120]),c_0_57]),c_0_120])]),c_0_121]) ).
cnf(c_0_131,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c10,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_132,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
prove_this_23 ).
cnf(c_0_133,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c7 = sk_c8
| multiply(sk_c9,sk_c11) != sk_c11
| multiply(X1,sk_c10) != sk_c9
| multiply(X2,sk_c11) != sk_c10
| inverse(X1) != sk_c10
| inverse(X2) != sk_c11 ),
inference(csr,[status(thm)],[inference(cn,[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_124,c_0_125]),c_0_120]),c_0_60]),c_0_120]),c_0_57]),c_0_120])]),c_0_121]) ).
cnf(c_0_134,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c2
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_135,negated_conjecture,
( sk_c7 = sk_c8
| sk_c2 = sk_c11 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_136,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c7 = sk_c8
| multiply(X1,sk_c10) != sk_c9
| multiply(X2,sk_c11) != sk_c10
| inverse(X1) != sk_c10
| inverse(X2) != sk_c11
| sk_c11 != identity ),
inference(spm,[status(thm)],[c_0_130,c_0_119]) ).
cnf(c_0_137,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c7) = sk_c6 ),
prove_this_8 ).
cnf(c_0_138,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c9 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_131]),c_0_56]) ).
cnf(c_0_139,negated_conjecture,
( multiply(inverse(sk_c4),sk_c9) = sk_c10
| multiply(sk_c9,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_58,c_0_132]) ).
cnf(c_0_140,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c7 = sk_c8
| multiply(X1,sk_c10) != sk_c9
| multiply(X2,sk_c11) != sk_c10
| inverse(X1) != sk_c10
| inverse(X2) != sk_c11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]),c_0_136]) ).
cnf(c_0_141,negated_conjecture,
( multiply(inverse(sk_c1),sk_c2) = sk_c11
| multiply(sk_c8,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_58,c_0_75]) ).
cnf(c_0_142,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c8 ),
prove_this_9 ).
cnf(c_0_143,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c7 ),
inference(spm,[status(thm)],[c_0_64,c_0_137]) ).
cnf(c_0_144,negated_conjecture,
( inverse(sk_c11) = sk_c1
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_64,c_0_98]) ).
cnf(c_0_145,negated_conjecture,
( multiply(inverse(sk_c11),sk_c9) = sk_c10
| sk_c9 = identity ),
inference(spm,[status(thm)],[c_0_58,c_0_138]) ).
cnf(c_0_146,negated_conjecture,
( multiply(inverse(inverse(sk_c4)),sk_c10) = sk_c9
| multiply(sk_c9,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_58,c_0_139]) ).
cnf(c_0_147,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
prove_this_24 ).
cnf(c_0_148,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
prove_this_5 ).
cnf(c_0_149,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c7 = sk_c8
| multiply(X1,multiply(X2,sk_c10)) != sk_c9
| inverse(multiply(X1,X2)) != sk_c10
| multiply(X3,sk_c11) != sk_c10
| inverse(X3) != sk_c11 ),
inference(spm,[status(thm)],[c_0_140,c_0_55]) ).
cnf(c_0_150,negated_conjecture,
( multiply(inverse(sk_c1),multiply(sk_c2,X1)) = multiply(sk_c11,X1)
| multiply(sk_c8,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_55,c_0_141]) ).
cnf(c_0_151,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_152,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_117,c_0_144]) ).
cnf(c_0_153,negated_conjecture,
( multiply(inverse(sk_c11),multiply(sk_c9,X1)) = multiply(sk_c10,X1)
| sk_c9 = identity ),
inference(spm,[status(thm)],[c_0_55,c_0_145]) ).
cnf(c_0_154,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| sk_c9 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_56]) ).
cnf(c_0_155,negated_conjecture,
( multiply(inverse(sk_c5),sk_c11) = sk_c8
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_58,c_0_148]) ).
cnf(c_0_156,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c5) = sk_c8 ),
prove_this_6 ).
cnf(c_0_157,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c7 = sk_c8
| inverse(multiply(inverse(sk_c1),sk_c2)) != sk_c10
| multiply(X1,sk_c11) != sk_c10
| inverse(X1) != sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).
cnf(c_0_158,negated_conjecture,
( multiply(inverse(sk_c1),sk_c2) = sk_c10
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_58,c_0_152]) ).
cnf(c_0_159,negated_conjecture,
( multiply(sk_c10,sk_c10) = identity
| sk_c9 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_56]) ).
cnf(c_0_160,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c8,sk_c11) = sk_c8 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_161,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
prove_this_25 ).
cnf(c_0_162,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c7 = sk_c8
| multiply(X1,sk_c11) != sk_c10
| inverse(sk_c10) != sk_c10
| inverse(X1) != sk_c11 ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_163,negated_conjecture,
( inverse(sk_c10) = sk_c10
| sk_c9 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_159]),c_0_60]) ).
cnf(c_0_164,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c7 = sk_c8
| multiply(X1,sk_c11) != sk_c10
| inverse(X1) != sk_c11
| sk_c9 != identity ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_56]),c_0_64])]) ).
cnf(c_0_165,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c11 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_160]),c_0_56]) ).
cnf(c_0_166,negated_conjecture,
( multiply(inverse(sk_c5),sk_c11) = sk_c8
| multiply(sk_c9,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_58,c_0_161]) ).
cnf(c_0_167,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
prove_this_26 ).
cnf(c_0_168,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c7 = sk_c8
| multiply(X1,sk_c11) != sk_c10
| inverse(X1) != sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]) ).
cnf(c_0_169,negated_conjecture,
( multiply(inverse(sk_c9),sk_c11) = sk_c10
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_58,c_0_128]) ).
cnf(c_0_170,negated_conjecture,
( inverse(sk_c9) = sk_c11
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_64,c_0_111]) ).
cnf(c_0_171,negated_conjecture,
( multiply(inverse(sk_c11),sk_c9) = sk_c10
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_58,c_0_165]) ).
cnf(c_0_172,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c8,sk_c11) = sk_c8 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_173,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c7 = sk_c8
| multiply(X1,multiply(X2,sk_c11)) != sk_c10
| inverse(multiply(X1,X2)) != sk_c11 ),
inference(spm,[status(thm)],[c_0_168,c_0_55]) ).
cnf(c_0_174,negated_conjecture,
( multiply(sk_c11,sk_c11) = sk_c10
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_175,negated_conjecture,
( multiply(inverse(sk_c11),multiply(sk_c9,X1)) = multiply(sk_c10,X1)
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_55,c_0_171]) ).
cnf(c_0_176,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| sk_c11 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_172]),c_0_56]) ).
cnf(c_0_177,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c7 = sk_c8
| inverse(multiply(inverse(sk_c1),sk_c2)) != sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_150]),c_0_174]) ).
cnf(c_0_178,negated_conjecture,
( multiply(sk_c10,sk_c10) = identity
| sk_c11 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_56]) ).
cnf(c_0_179,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c7 = sk_c8
| inverse(sk_c10) != sk_c11 ),
inference(spm,[status(thm)],[c_0_177,c_0_158]) ).
cnf(c_0_180,negated_conjecture,
( inverse(sk_c10) = sk_c10
| sk_c11 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_178]),c_0_60]) ).
cnf(c_0_181,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c7 = sk_c8
| sk_c11 != identity ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_57]),c_0_120]),c_0_121]) ).
cnf(c_0_182,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c7 = sk_c8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_121]),c_0_181]) ).
cnf(c_0_183,negated_conjecture,
( multiply(inverse(sk_c8),sk_c11) = sk_c10
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_58,c_0_182]) ).
cnf(c_0_184,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c6 ),
prove_this_40 ).
cnf(c_0_185,negated_conjecture,
( multiply(inverse(sk_c8),multiply(sk_c11,X1)) = multiply(sk_c10,X1)
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_55,c_0_183]) ).
cnf(c_0_186,negated_conjecture,
( multiply(inverse(sk_c7),sk_c6) = sk_c8
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_58,c_0_184]) ).
cnf(c_0_187,negated_conjecture,
( inverse(sk_c8) = multiply(sk_c10,sk_c1)
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_119]),c_0_60]) ).
cnf(c_0_188,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c6,sk_c6) = sk_c8 ),
inference(spm,[status(thm)],[c_0_186,c_0_84]) ).
cnf(c_0_189,negated_conjecture,
( multiply(inverse(sk_c8),sk_c11) = sk_c10
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_58,c_0_77]) ).
cnf(c_0_190,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c3) = sk_c11 ),
prove_this_32 ).
cnf(c_0_191,negated_conjecture,
( multiply(inverse(sk_c8),sk_c10) = multiply(sk_c10,sk_c2)
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_185,c_0_106]) ).
cnf(c_0_192,negated_conjecture,
( multiply(sk_c10,multiply(sk_c1,sk_c11)) = sk_c10
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_187]),c_0_55]) ).
cnf(c_0_193,negated_conjecture,
( multiply(inverse(sk_c6),sk_c8) = sk_c6
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_58,c_0_188]) ).
cnf(c_0_194,negated_conjecture,
( multiply(inverse(sk_c8),multiply(sk_c11,X1)) = multiply(sk_c10,X1)
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_55,c_0_189]) ).
cnf(c_0_195,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c11,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_56,c_0_190]) ).
cnf(c_0_196,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_31 ).
cnf(c_0_197,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_41 ).
cnf(c_0_198,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| inverse(sk_c3) = sk_c11 ),
prove_this_42 ).
cnf(c_0_199,negated_conjecture,
( multiply(sk_c8,multiply(sk_c10,sk_c2)) = sk_c10
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_191]),c_0_64]) ).
cnf(c_0_200,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c10
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_192,c_0_86]) ).
cnf(c_0_201,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c8,sk_c8) = sk_c6 ),
inference(spm,[status(thm)],[c_0_193,c_0_93]) ).
cnf(c_0_202,negated_conjecture,
( inverse(sk_c8) = multiply(sk_c10,sk_c3)
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_60]) ).
cnf(c_0_203,negated_conjecture,
( multiply(sk_c3,multiply(sk_c11,X1)) = multiply(sk_c10,X1)
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_55,c_0_196]) ).
cnf(c_0_204,negated_conjecture,
( multiply(inverse(sk_c3),sk_c10) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c2 ),
inference(spm,[status(thm)],[c_0_58,c_0_197]) ).
cnf(c_0_205,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| multiply(sk_c11,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_56,c_0_198]) ).
cnf(c_0_206,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
prove_this_52 ).
cnf(c_0_207,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c10
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_208,negated_conjecture,
( multiply(inverse(sk_c8),sk_c6) = sk_c8
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_58,c_0_201]) ).
cnf(c_0_209,negated_conjecture,
( inverse(multiply(sk_c10,sk_c3)) = sk_c8
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_64,c_0_202]) ).
cnf(c_0_210,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c10,sk_c3) = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_195]),c_0_60]) ).
cnf(c_0_211,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_204,c_0_198]) ).
cnf(c_0_212,negated_conjecture,
( multiply(inverse(sk_c1),sk_c2) = sk_c11
| multiply(sk_c11,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_58,c_0_205]) ).
cnf(c_0_213,negated_conjecture,
( multiply(sk_c11,sk_c3) = identity
| inverse(sk_c1) = sk_c11 ),
inference(spm,[status(thm)],[c_0_56,c_0_206]) ).
cnf(c_0_214,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_1 ).
cnf(c_0_215,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c3) = sk_c11 ),
prove_this_12 ).
cnf(c_0_216,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
inference(spm,[status(thm)],[c_0_58,c_0_55]) ).
cnf(c_0_217,negated_conjecture,
( multiply(inverse(sk_c8),sk_c10) = sk_c10
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_58,c_0_207]) ).
cnf(c_0_218,negated_conjecture,
( multiply(inverse(sk_c11),sk_c10) = sk_c11
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_58,c_0_174]) ).
cnf(c_0_219,negated_conjecture,
( multiply(inverse(sk_c7),multiply(sk_c6,X1)) = multiply(sk_c8,X1)
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_55,c_0_186]) ).
cnf(c_0_220,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c6,sk_c7) = identity ),
inference(spm,[status(thm)],[c_0_56,c_0_84]) ).
cnf(c_0_221,negated_conjecture,
( multiply(inverse(sk_c8),multiply(sk_c6,X1)) = multiply(sk_c8,X1)
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_55,c_0_208]) ).
cnf(c_0_222,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_223,negated_conjecture,
( multiply(inverse(sk_c1),sk_c2) = sk_c11
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_58,c_0_211]) ).
cnf(c_0_224,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_51 ).
cnf(c_0_225,negated_conjecture,
( multiply(sk_c11,sk_c3) = identity
| multiply(sk_c11,sk_c2) = sk_c11 ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_226,negated_conjecture,
( multiply(inverse(sk_c3),sk_c10) = sk_c11
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_58,c_0_214]) ).
cnf(c_0_227,negated_conjecture,
( multiply(sk_c11,sk_c3) = identity
| inverse(sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_56,c_0_215]) ).
cnf(c_0_228,negated_conjecture,
( multiply(sk_c11,sk_c3) = identity
| inverse(sk_c11) = sk_c1 ),
inference(spm,[status(thm)],[c_0_64,c_0_213]) ).
cnf(c_0_229,negated_conjecture,
( multiply(sk_c1,multiply(sk_c11,X1)) = X1
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_192]),c_0_55]),c_0_58]) ).
cnf(c_0_230,negated_conjecture,
( multiply(sk_c10,multiply(sk_c1,sk_c10)) = sk_c10
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_187]),c_0_55]) ).
cnf(c_0_231,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_218,c_0_144]) ).
cnf(c_0_232,negated_conjecture,
( inverse(sk_c7) = multiply(sk_c8,sk_c7)
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_60]) ).
cnf(c_0_233,negated_conjecture,
( inverse(sk_c8) = multiply(sk_c8,sk_c7)
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_220]),c_0_60]) ).
cnf(c_0_234,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c8) = sk_c3 ),
inference(spm,[status(thm)],[c_0_64,c_0_222]) ).
cnf(c_0_235,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c11,sk_c10) = sk_c11
| multiply(sk_c11,sk_c2) = sk_c11 ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_236,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c11
| inverse(sk_c11) = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_225]),c_0_60]) ).
cnf(c_0_237,negated_conjecture,
( multiply(inverse(sk_c3),sk_c10) = sk_c11
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_58,c_0_196]) ).
cnf(c_0_238,negated_conjecture,
( multiply(inverse(inverse(sk_c3)),sk_c11) = sk_c10
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_58,c_0_226]) ).
cnf(c_0_239,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c11 ),
prove_this_2 ).
cnf(c_0_240,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_21 ).
cnf(c_0_241,negated_conjecture,
( inverse(sk_c11) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
prove_this_11 ).
cnf(c_0_242,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c11) = sk_c1 ),
inference(spm,[status(thm)],[c_0_64,c_0_224]) ).
cnf(c_0_243,negated_conjecture,
( multiply(sk_c11,sk_c3) = identity
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_244,negated_conjecture,
( multiply(inverse(sk_c1),X1) = multiply(sk_c11,X1)
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_58,c_0_229]) ).
cnf(c_0_245,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c10
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_246,negated_conjecture,
( inverse(multiply(sk_c8,sk_c7)) = sk_c7
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_64,c_0_232]) ).
cnf(c_0_247,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c8,sk_c7) = sk_c3 ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_248,negated_conjecture,
( multiply(inverse(sk_c3),sk_c10) = sk_c11
| multiply(sk_c11,sk_c2) = sk_c11
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_58,c_0_235]) ).
cnf(c_0_249,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c11
| inverse(sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_64,c_0_236]) ).
cnf(c_0_250,negated_conjecture,
( multiply(inverse(inverse(sk_c3)),sk_c11) = sk_c10
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_58,c_0_237]) ).
cnf(c_0_251,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c10 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_56]) ).
cnf(c_0_252,negated_conjecture,
( multiply(inverse(sk_c3),sk_c10) = sk_c11
| multiply(sk_c9,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_58,c_0_240]) ).
cnf(c_0_253,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_254,negated_conjecture,
( inverse(sk_c11) = sk_c3
| sk_c1 = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_243]),c_0_60]) ).
cnf(c_0_255,negated_conjecture,
( multiply(sk_c11,multiply(sk_c1,X1)) = X1
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_58,c_0_244]) ).
cnf(c_0_256,negated_conjecture,
( multiply(sk_c11,X1) = X1
| sk_c7 = sk_c8 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_245]),c_0_58]) ).
cnf(c_0_257,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c3) = sk_c7 ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_258,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_237,c_0_190]) ).
cnf(c_0_259,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c11
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_260,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| sk_c10 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_190]),c_0_56]) ).
cnf(c_0_261,negated_conjecture,
( multiply(inverse(sk_c11),sk_c9) = sk_c10
| sk_c10 = identity ),
inference(spm,[status(thm)],[c_0_58,c_0_251]) ).
cnf(c_0_262,negated_conjecture,
( multiply(inverse(inverse(sk_c3)),sk_c11) = sk_c10
| multiply(sk_c9,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_58,c_0_252]) ).
cnf(c_0_263,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
prove_this_22 ).
cnf(c_0_264,negated_conjecture,
( multiply(inverse(inverse(sk_c3)),sk_c11) = sk_c10
| multiply(sk_c1,sk_c11) = sk_c2 ),
inference(spm,[status(thm)],[c_0_58,c_0_204]) ).
cnf(c_0_265,negated_conjecture,
( multiply(inverse(sk_c3),sk_c10) = sk_c11
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_58,c_0_253]) ).
cnf(c_0_266,negated_conjecture,
( inverse(sk_c3) = sk_c11
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_64,c_0_254]) ).
cnf(c_0_267,negated_conjecture,
( multiply(sk_c1,X1) = X1
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_268,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| sk_c7 = sk_c11 ),
inference(spm,[status(thm)],[c_0_190,c_0_257]) ).
cnf(c_0_269,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c11
| sk_c10 = sk_c11 ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_270,negated_conjecture,
( multiply(inverse(sk_c11),sk_c10) = sk_c2
| sk_c10 = identity ),
inference(spm,[status(thm)],[c_0_58,c_0_260]) ).
cnf(c_0_271,negated_conjecture,
( multiply(inverse(sk_c11),multiply(sk_c9,X1)) = multiply(sk_c10,X1)
| sk_c10 = identity ),
inference(spm,[status(thm)],[c_0_55,c_0_261]) ).
cnf(c_0_272,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c11
| sk_c10 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_56]) ).
cnf(c_0_273,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c2
| sk_c10 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_198]),c_0_56]) ).
cnf(c_0_274,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c11
| sk_c1 = sk_c9 ),
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_275,negated_conjecture,
( multiply(sk_c10,sk_c10) = sk_c10
| sk_c7 = sk_c8 ),
inference(spm,[status(thm)],[c_0_230,c_0_267]) ).
cnf(c_0_276,negated_conjecture,
( multiply(inverse(sk_c11),sk_c10) = sk_c2
| sk_c7 = sk_c11 ),
inference(spm,[status(thm)],[c_0_58,c_0_268]) ).
cnf(c_0_277,negated_conjecture,
( sk_c10 = sk_c11
| sk_c10 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_269]),c_0_56]) ).
cnf(c_0_278,negated_conjecture,
( multiply(inverse(sk_c11),multiply(sk_c10,X1)) = multiply(sk_c2,X1)
| sk_c10 = identity ),
inference(spm,[status(thm)],[c_0_55,c_0_270]) ).
cnf(c_0_279,negated_conjecture,
( multiply(sk_c10,sk_c10) = identity
| sk_c10 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_56]) ).
cnf(c_0_280,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c6 ),
prove_this_10 ).
cnf(c_0_281,negated_conjecture,
( multiply(inverse(sk_c1),sk_c2) = sk_c11
| sk_c10 = identity ),
inference(spm,[status(thm)],[c_0_58,c_0_273]) ).
cnf(c_0_282,negated_conjecture,
( sk_c1 = sk_c9
| sk_c10 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_274]),c_0_56]) ).
cnf(c_0_283,negated_conjecture,
( sk_c7 = sk_c8
| sk_c10 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_275]),c_0_56]) ).
cnf(c_0_284,negated_conjecture,
( sk_c10 = identity
| sk_c7 = sk_c11
| sk_c2 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_56]) ).
cnf(c_0_285,negated_conjecture,
( inverse(sk_c11) = multiply(sk_c2,sk_c10)
| sk_c10 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_60]) ).
cnf(c_0_286,negated_conjecture,
( multiply(sk_c7,multiply(sk_c8,X1)) = multiply(sk_c6,X1)
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_55,c_0_280]) ).
cnf(c_0_287,negated_conjecture,
( multiply(inverse(sk_c9),sk_c2) = sk_c11
| sk_c10 = identity ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_288,negated_conjecture,
( sk_c2 = identity
| sk_c10 = identity
| sk_c8 = sk_c11 ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_289,negated_conjecture,
( inverse(multiply(sk_c2,sk_c10)) = sk_c11
| sk_c10 = identity ),
inference(spm,[status(thm)],[c_0_64,c_0_285]) ).
cnf(c_0_290,negated_conjecture,
( multiply(inverse(sk_c8),sk_c11) = sk_c10
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_58,c_0_69]) ).
cnf(c_0_291,negated_conjecture,
( multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c11)
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_286,c_0_160]) ).
cnf(c_0_292,negated_conjecture,
( multiply(inverse(inverse(sk_c1)),sk_c11) = sk_c2
| multiply(sk_c8,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_58,c_0_141]) ).
cnf(c_0_293,negated_conjecture,
( inverse(sk_c9) = sk_c11
| sk_c8 = sk_c11
| sk_c10 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_60]) ).
cnf(c_0_294,negated_conjecture,
( inverse(sk_c10) = sk_c11
| sk_c8 = sk_c11
| sk_c10 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_288]),c_0_57]) ).
cnf(c_0_295,negated_conjecture,
( multiply(inverse(sk_c8),multiply(sk_c11,X1)) = multiply(sk_c10,X1)
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_55,c_0_290]) ).
cnf(c_0_296,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c11,sk_c3) = identity ),
inference(spm,[status(thm)],[c_0_56,c_0_239]) ).
cnf(c_0_297,negated_conjecture,
( multiply(sk_c8,multiply(sk_c6,X1)) = X1
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_58,c_0_142]) ).
cnf(c_0_298,negated_conjecture,
( multiply(sk_c6,sk_c11) = sk_c6
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_280,c_0_291]) ).
cnf(c_0_299,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| sk_c2 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_76]),c_0_56]) ).
cnf(c_0_300,negated_conjecture,
( inverse(sk_c11) = sk_c9
| sk_c10 = identity
| sk_c8 = sk_c11 ),
inference(spm,[status(thm)],[c_0_64,c_0_293]) ).
cnf(c_0_301,negated_conjecture,
( inverse(sk_c11) = sk_c10
| sk_c10 = identity
| sk_c8 = sk_c11 ),
inference(spm,[status(thm)],[c_0_64,c_0_294]) ).
cnf(c_0_302,negated_conjecture,
( inverse(sk_c8) = multiply(sk_c10,sk_c3)
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_60]) ).
cnf(c_0_303,negated_conjecture,
( multiply(sk_c3,multiply(sk_c11,X1)) = multiply(sk_c10,X1)
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_55,c_0_214]) ).
cnf(c_0_304,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c8,sk_c6) = sk_c11 ),
inference(spm,[status(thm)],[c_0_297,c_0_298]) ).
cnf(c_0_305,negated_conjecture,
( multiply(inverse(sk_c8),sk_c11) = sk_c10
| sk_c2 = identity ),
inference(spm,[status(thm)],[c_0_58,c_0_299]) ).
cnf(c_0_306,negated_conjecture,
( sk_c8 = sk_c11
| sk_c10 = identity
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_300,c_0_301]) ).
cnf(c_0_307,negated_conjecture,
( multiply(sk_c8,multiply(sk_c10,X1)) = multiply(sk_c11,X1)
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_55,c_0_69]) ).
cnf(c_0_308,negated_conjecture,
( inverse(multiply(sk_c10,sk_c3)) = sk_c8
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_64,c_0_302]) ).
cnf(c_0_309,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c10,sk_c3) = sk_c3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_296]),c_0_60]) ).
cnf(c_0_310,negated_conjecture,
( multiply(sk_c5,multiply(sk_c8,X1)) = multiply(sk_c11,X1)
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_55,c_0_148]) ).
cnf(c_0_311,negated_conjecture,
( multiply(inverse(sk_c8),sk_c11) = sk_c6
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_58,c_0_304]) ).
cnf(c_0_312,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c8) = sk_c5 ),
inference(spm,[status(thm)],[c_0_64,c_0_156]) ).
cnf(c_0_313,negated_conjecture,
( sk_c9 = sk_c10
| sk_c2 = identity
| sk_c10 = identity ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_56])]) ).
cnf(c_0_314,negated_conjecture,
( multiply(sk_c8,sk_c10) = multiply(sk_c11,sk_c9)
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_307,c_0_131]) ).
cnf(c_0_315,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c8 ),
inference(spm,[status(thm)],[c_0_308,c_0_309]) ).
cnf(c_0_316,negated_conjecture,
( multiply(sk_c5,sk_c11) = multiply(sk_c11,sk_c10)
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_310,c_0_69]) ).
cnf(c_0_317,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c5,sk_c11) = sk_c6 ),
inference(spm,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_318,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| inverse(sk_c4) = sk_c10 ),
prove_this_34 ).
cnf(c_0_319,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_226,c_0_239]) ).
cnf(c_0_320,negated_conjecture,
( inverse(sk_c9) = sk_c11
| sk_c9 = sk_c10
| sk_c10 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_313]),c_0_60]) ).
cnf(c_0_321,negated_conjecture,
( inverse(sk_c10) = sk_c11
| sk_c9 = sk_c10
| sk_c10 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_313]),c_0_57]) ).
cnf(c_0_322,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c11
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_69,c_0_314]) ).
cnf(c_0_323,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| inverse(sk_c8) = sk_c3 ),
inference(spm,[status(thm)],[c_0_64,c_0_315]) ).
cnf(c_0_324,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c11,sk_c10) = sk_c6 ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_325,negated_conjecture,
( multiply(inverse(sk_c3),multiply(sk_c10,X1)) = multiply(sk_c11,X1)
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_55,c_0_237]) ).
cnf(c_0_326,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c10,sk_c4) = identity ),
inference(spm,[status(thm)],[c_0_56,c_0_318]) ).
cnf(c_0_327,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
prove_this_33 ).
cnf(c_0_328,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c4) = sk_c10 ),
prove_this_14 ).
cnf(c_0_329,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c5,sk_c11) = sk_c10 ),
inference(spm,[status(thm)],[c_0_290,c_0_312]) ).
cnf(c_0_330,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c11
| sk_c9 != sk_c11 ),
inference(ef,[status(thm)],[c_0_319]) ).
cnf(c_0_331,negated_conjecture,
( inverse(sk_c11) = sk_c9
| sk_c10 = identity
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_64,c_0_320]) ).
cnf(c_0_332,negated_conjecture,
( inverse(sk_c11) = sk_c10
| sk_c10 = identity
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_64,c_0_321]) ).
cnf(c_0_333,negated_conjecture,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c9)
| multiply(sk_c11,sk_c10) = sk_c9 ),
inference(spm,[status(thm)],[c_0_303,c_0_322]) ).
cnf(c_0_334,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c6 ),
inference(spm,[status(thm)],[c_0_311,c_0_323]) ).
cnf(c_0_335,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| sk_c6 != sk_c9 ),
inference(ef,[status(thm)],[c_0_324]) ).
cnf(c_0_336,negated_conjecture,
( sk_c10 = identity
| sk_c11 != identity ),
inference(ef,[status(thm)],[c_0_277]) ).
cnf(c_0_337,negated_conjecture,
( inverse(sk_c3) = multiply(sk_c11,sk_c4)
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_60]) ).
cnf(c_0_338,negated_conjecture,
( multiply(inverse(sk_c4),sk_c9) = sk_c10
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_58,c_0_327]) ).
cnf(c_0_339,negated_conjecture,
( inverse(sk_c11) = sk_c9
| inverse(sk_c10) = sk_c4 ),
inference(spm,[status(thm)],[c_0_64,c_0_328]) ).
cnf(c_0_340,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c11,sk_c10) = sk_c10 ),
inference(spm,[status(thm)],[c_0_316,c_0_329]) ).
cnf(c_0_341,negated_conjecture,
( sk_c10 = identity
| sk_c9 != sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_330]),c_0_56]) ).
cnf(c_0_342,negated_conjecture,
( sk_c10 = identity
| sk_c9 = sk_c10 ),
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_343,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c9
| multiply(sk_c10,sk_c9) = sk_c6 ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_344,negated_conjecture,
( sk_c9 = sk_c11
| sk_c6 != sk_c9
| sk_c11 != identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_60]) ).
cnf(c_0_345,negated_conjecture,
( multiply(sk_c11,sk_c4) = sk_c11
| multiply(sk_c11,sk_c2) = sk_c10 ),
inference(spm,[status(thm)],[c_0_190,c_0_337]) ).
cnf(c_0_346,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| multiply(sk_c10,sk_c9) = sk_c10 ),
inference(spm,[status(thm)],[c_0_338,c_0_318]) ).
cnf(c_0_347,negated_conjecture,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c11) = sk_c9 ),
inference(spm,[status(thm)],[c_0_56,c_0_339]) ).
cnf(c_0_348,negated_conjecture,
( sk_c10 = sk_c11
| sk_c9 = sk_c11 ),
inference(spm,[status(thm)],[c_0_340,c_0_269]) ).
cnf(c_0_349,negated_conjecture,
sk_c10 = identity,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_277]) ).
cnf(c_0_350,negated_conjecture,
( sk_c9 = sk_c11
| sk_c11 != identity ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_336]),c_0_60]),c_0_57]),c_0_344]) ).
cnf(c_0_351,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| sk_c4 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_345]),c_0_56]) ).
cnf(c_0_352,negated_conjecture,
( multiply(sk_c11,sk_c2) = sk_c10
| sk_c9 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_346]),c_0_56]) ).
cnf(c_0_353,negated_conjecture,
( multiply(sk_c4,sk_c10) = identity
| inverse(sk_c9) = sk_c11 ),
inference(spm,[status(thm)],[c_0_64,c_0_347]) ).
cnf(c_0_354,negated_conjecture,
sk_c9 = sk_c11,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_348,c_0_349]),c_0_350]) ).
cnf(c_0_355,negated_conjecture,
( multiply(inverse(sk_c11),sk_c10) = sk_c2
| sk_c4 = identity ),
inference(spm,[status(thm)],[c_0_58,c_0_351]) ).
cnf(c_0_356,negated_conjecture,
( multiply(inverse(sk_c11),sk_c10) = sk_c2
| sk_c9 = identity ),
inference(spm,[status(thm)],[c_0_58,c_0_352]) ).
cnf(c_0_357,negated_conjecture,
( inverse(sk_c11) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
prove_this_13 ).
cnf(c_0_358,negated_conjecture,
( inverse(sk_c11) = sk_c11
| sk_c4 = identity ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_349]),c_0_60]),c_0_354]) ).
cnf(c_0_359,negated_conjecture,
( inverse(sk_c11) = sk_c2
| sk_c4 = identity ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_349]),c_0_60]) ).
cnf(c_0_360,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c9,sk_c10) = sk_c2
| sk_c9 = identity ),
inference(spm,[status(thm)],[c_0_356,c_0_357]) ).
cnf(c_0_361,negated_conjecture,
( multiply(inverse(sk_c1),sk_c2) = sk_c11
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_58,c_0_126]) ).
cnf(c_0_362,negated_conjecture,
( sk_c4 = identity
| sk_c2 = sk_c11 ),
inference(spm,[status(thm)],[c_0_358,c_0_359]) ).
cnf(c_0_363,negated_conjecture,
( sk_c11 = identity
| sk_c2 = sk_c11
| sk_c4 = sk_c11 ),
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_360,c_0_349]),c_0_60]),c_0_349]),c_0_60]),c_0_354]),c_0_354]),c_0_354]) ).
cnf(c_0_364,plain,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_56,c_0_64]) ).
cnf(c_0_365,negated_conjecture,
( multiply(inverse(sk_c9),sk_c2) = sk_c11
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_361,c_0_127]) ).
cnf(c_0_366,negated_conjecture,
( sk_c2 = sk_c11
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_367,negated_conjecture,
( multiply(sk_c11,multiply(X1,sk_c11)) != sk_c10
| inverse(multiply(X2,inverse(X3))) != inverse(X3)
| multiply(inverse(X3),sk_c10) != sk_c11
| multiply(X2,inverse(X3)) != inverse(X2)
| multiply(sk_c11,sk_c10) != sk_c9
| multiply(sk_c9,sk_c10) != sk_c11
| multiply(X4,sk_c10) != sk_c9
| multiply(X5,sk_c11) != sk_c10
| inverse(sk_c11) != sk_c9
| inverse(X4) != sk_c10
| inverse(X5) != sk_c11
| inverse(X1) != sk_c11
| sk_c11 != identity ),
inference(rw,[status(thm)],[c_0_66,c_0_364]) ).
cnf(c_0_368,negated_conjecture,
sk_c11 = identity,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_354]),c_0_56])]) ).
cnf(c_0_369,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c4) = sk_c10 ),
prove_this_54 ).
cnf(c_0_370,negated_conjecture,
( inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(X1,inverse(X2)) != inverse(X1)
| inverse(X2) != identity ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[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)],[c_0_367,c_0_349]),c_0_349]),c_0_60]),c_0_349]),c_0_60]),c_0_349]),c_0_60]),c_0_349]),c_0_60]),c_0_349]),c_0_349])])]),c_0_368]),c_0_368]),c_0_60]),c_0_57]),c_0_368]),c_0_354]),c_0_368]),c_0_368]),c_0_368]),c_0_60]),c_0_368]),c_0_120]),c_0_354]),c_0_368]),c_0_354]),c_0_368]),c_0_120]),c_0_368]),c_0_368]),c_0_368])])])]),c_0_120])]) ).
cnf(c_0_371,negated_conjecture,
( inverse(sk_c1) = identity
| inverse(sk_c4) = identity ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_369,c_0_349]),c_0_368]) ).
cnf(c_0_372,negated_conjecture,
inverse(X1) != identity,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_56]),c_0_120]),c_0_64])]) ).
cnf(c_0_373,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_371,c_0_372]),c_0_372]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP307-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 01:46:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.51/0.57 start to proof: theBenchmark
% 2.82/2.89 % Version : CSE_E---1.5
% 2.82/2.89 % Problem : theBenchmark.p
% 2.82/2.89 % Proof found
% 2.82/2.89 % SZS status Theorem for theBenchmark.p
% 2.82/2.89 % SZS output start Proof
% See solution above
% 2.87/2.91 % Total time : 2.314000 s
% 2.87/2.91 % SZS output end Proof
% 2.87/2.91 % Total time : 2.318000 s
%------------------------------------------------------------------------------