%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP312-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.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 : Tue May 5 04:25:22 PM UTC 2026
% Result : Unsatisfiable 141.86s 109.81s
% Output : CNFRefutation 142.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 61
% Syntax : Number of clauses : 460 ( 29 unt; 393 nHn; 414 RR)
% Number of literals : 1049 (1048 equ; 165 neg)
% Maximal clause size : 17 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 125 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
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_28,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(prove_this_29,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(prove_this_48,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
cnf(prove_this_18,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(prove_this_49,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
cnf(prove_this_19,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(prove_this_38,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
cnf(prove_this_8,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(prove_this_68,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_68) ).
cnf(prove_this_71,negated_conjecture,
( multiply(sk_c11,sk_c12) != sk_c10
| multiply(X1,sk_c12) != sk_c11
| inverse(X1) != sk_c12
| multiply(X2,sk_c11) != sk_c10
| inverse(X2) != sk_c11
| multiply(X3,sk_c11) != sk_c12
| inverse(X3) != sk_c11
| multiply(X4,sk_c12) != sk_c11
| inverse(X4) != sk_c12
| multiply(X5,sk_c11) != sk_c10
| inverse(X5) != sk_c11
| multiply(X6,X7) != sk_c12
| inverse(X6) != X7
| multiply(X7,sk_c11) != sk_c12
| inverse(X8) != X9
| inverse(X9) != X7
| multiply(X8,X7) != X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_71) ).
cnf(prove_this_39,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
cnf(prove_this_9,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(prove_this_69,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_69) ).
cnf(prove_this_58,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
cnf(prove_this_59,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
cnf(prove_this_46,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
cnf(prove_this_66,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_66) ).
cnf(prove_this_65,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_65) ).
cnf(prove_this_45,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
cnf(prove_this_42,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
cnf(prove_this_62,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_62) ).
cnf(prove_this_61,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
cnf(prove_this_41,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
cnf(prove_this_44,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
cnf(prove_this_64,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_64) ).
cnf(prove_this_26,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_16,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(prove_this_63,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_63) ).
cnf(prove_this_43,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
cnf(prove_this_22,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(prove_this_51,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
cnf(prove_this_55,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
cnf(prove_this_56,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
cnf(prove_this_25,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(prove_this_52,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
cnf(prove_this_57,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
cnf(prove_this_6,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(prove_this_32,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
cnf(prove_this_37,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(prove_this_53,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
cnf(prove_this_36,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
cnf(prove_this_7,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
cnf(prove_this_4,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(prove_this_5,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(prove_this_11,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(prove_this_54,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
cnf(prove_this_21,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(prove_this_12,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(prove_this_34,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
cnf(prove_this_33,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(prove_this_27,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(prove_this_17,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(prove_this_1,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(prove_this_2,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(prove_this_47,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
cnf(prove_this_67,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_67) ).
cnf(prove_this_24,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(prove_this_14,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_0_61,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity ).
cnf(c_0_62,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse ).
cnf(c_0_63,axiom,
multiply(identity,X1) = X1,
left_identity ).
cnf(c_0_64,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_65,plain,
multiply(inverse(inverse(X1)),identity) = X1,
inference(spm,[status(thm)],[c_0_64,c_0_62]) ).
cnf(c_0_66,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_64,c_0_64]) ).
cnf(c_0_67,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_68,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_67]) ).
cnf(c_0_69,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c8) = sk_c7 ),
prove_this_28 ).
cnf(c_0_70,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c7) = sk_c9 ),
prove_this_29 ).
cnf(c_0_71,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c8) = sk_c7 ),
prove_this_48 ).
cnf(c_0_73,negated_conjecture,
( inverse(sk_c7) = sk_c9
| inverse(sk_c12) = sk_c1 ),
inference(spm,[status(thm)],[c_0_68,c_0_70]) ).
cnf(c_0_74,negated_conjecture,
( inverse(sk_c7) = sk_c8
| inverse(sk_c12) = sk_c1 ),
inference(spm,[status(thm)],[c_0_68,c_0_71]) ).
cnf(c_0_75,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c8) = sk_c7 ),
prove_this_18 ).
cnf(c_0_76,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c7) = sk_c9 ),
prove_this_49 ).
cnf(c_0_77,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_68,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( inverse(sk_c12) = sk_c1
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c7) = sk_c9 ),
prove_this_19 ).
cnf(c_0_80,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_68,c_0_75]) ).
cnf(c_0_81,negated_conjecture,
( inverse(sk_c7) = sk_c9
| inverse(sk_c11) = sk_c2 ),
inference(spm,[status(thm)],[c_0_68,c_0_76]) ).
cnf(c_0_82,negated_conjecture,
( inverse(sk_c7) = sk_c8
| inverse(sk_c11) = sk_c2 ),
inference(spm,[status(thm)],[c_0_68,c_0_77]) ).
cnf(c_0_83,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c8) = sk_c7 ),
prove_this_38 ).
cnf(c_0_84,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c8) = sk_c7 ),
prove_this_8 ).
cnf(c_0_85,negated_conjecture,
( multiply(sk_c1,sk_c12) = identity
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_62,c_0_78]) ).
cnf(c_0_86,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c8) = sk_c7 ),
prove_this_68 ).
cnf(c_0_88,negated_conjecture,
( multiply(sk_c11,sk_c12) != sk_c10
| multiply(X1,sk_c12) != sk_c11
| inverse(X1) != sk_c12
| multiply(X2,sk_c11) != sk_c10
| inverse(X2) != sk_c11
| multiply(X3,sk_c11) != sk_c12
| inverse(X3) != sk_c11
| multiply(X4,sk_c12) != sk_c11
| inverse(X4) != sk_c12
| multiply(X5,sk_c11) != sk_c10
| inverse(X5) != sk_c11
| multiply(X6,X7) != sk_c12
| inverse(X6) != X7
| multiply(X7,sk_c11) != sk_c12
| inverse(X8) != X9
| inverse(X9) != X7
| multiply(X8,X7) != X9 ),
prove_this_71 ).
cnf(c_0_89,negated_conjecture,
( inverse(sk_c11) = sk_c2
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_90,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c9 ),
prove_this_39 ).
cnf(c_0_91,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_68,c_0_83]) ).
cnf(c_0_92,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c7) = sk_c9 ),
prove_this_9 ).
cnf(c_0_93,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_68,c_0_84]) ).
cnf(c_0_94,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_95,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c7) = sk_c9 ),
prove_this_69 ).
cnf(c_0_96,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_68,c_0_87]) ).
cnf(c_0_97,negated_conjecture,
( inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c11) != sk_c12
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(sk_c11,sk_c12) != sk_c10
| multiply(X2,inverse(X2)) != sk_c12
| multiply(X3,sk_c11) != sk_c10
| multiply(X4,sk_c12) != sk_c11
| multiply(X5,sk_c11) != sk_c12
| multiply(X6,sk_c11) != sk_c10
| multiply(X7,sk_c12) != sk_c11
| inverse(X3) != sk_c11
| inverse(X4) != sk_c12
| inverse(X5) != sk_c11
| inverse(X6) != sk_c11
| inverse(X7) != sk_c12 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_88])]) ).
cnf(c_0_98,plain,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_62,c_0_68]) ).
cnf(c_0_99,negated_conjecture,
( multiply(sk_c2,sk_c11) = identity
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_62,c_0_89]) ).
cnf(c_0_100,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_101,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_102,negated_conjecture,
( multiply(sk_c11,X1) = X1
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_63,c_0_94]) ).
cnf(c_0_103,plain,
multiply(inverse(identity),X1) = X1,
inference(spm,[status(thm)],[c_0_64,c_0_63]) ).
cnf(c_0_104,negated_conjecture,
( inverse(sk_c7) = sk_c9
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_68,c_0_95]) ).
cnf(c_0_105,negated_conjecture,
( inverse(sk_c7) = sk_c8
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_68,c_0_96]) ).
cnf(c_0_106,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c8) = sk_c7 ),
prove_this_58 ).
cnf(c_0_107,negated_conjecture,
( inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c11) != sk_c12
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(sk_c11,sk_c12) != sk_c10
| multiply(X3,sk_c11) != sk_c10
| multiply(X4,sk_c12) != sk_c11
| multiply(X5,sk_c11) != sk_c12
| multiply(X6,sk_c11) != sk_c10
| multiply(X7,sk_c12) != sk_c11
| inverse(X3) != sk_c11
| inverse(X4) != sk_c12
| inverse(X5) != sk_c11
| inverse(X6) != sk_c11
| inverse(X7) != sk_c12
| identity != sk_c12 ),
inference(rw,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_108,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c10 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_109,negated_conjecture,
( sk_c8 = sk_c9
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_110,plain,
multiply(inverse(inverse(identity)),X1) = X1,
inference(spm,[status(thm)],[c_0_64,c_0_103]) ).
cnf(c_0_111,negated_conjecture,
( inverse(sk_c11) = sk_c3
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_112,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c7) = sk_c9 ),
prove_this_59 ).
cnf(c_0_113,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_68,c_0_106]) ).
cnf(c_0_114,negated_conjecture,
( sk_c8 = sk_c9
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c11) != sk_c12
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(X3,sk_c11) != sk_c10
| multiply(X4,sk_c12) != sk_c11
| multiply(X5,sk_c11) != sk_c12
| multiply(X6,sk_c11) != sk_c10
| multiply(X7,sk_c12) != sk_c11
| inverse(X3) != sk_c11
| inverse(X4) != sk_c12
| inverse(X5) != sk_c11
| inverse(X6) != sk_c11
| inverse(X7) != sk_c12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]),c_0_101]) ).
cnf(c_0_115,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_62,c_0_110]) ).
cnf(c_0_116,negated_conjecture,
( multiply(sk_c3,sk_c11) = identity
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_62,c_0_111]) ).
cnf(c_0_117,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_118,negated_conjecture,
( sk_c8 = sk_c9
| multiply(inverse(X1),sk_c11) != sk_c12
| multiply(X2,sk_c11) != sk_c10
| multiply(X3,sk_c12) != sk_c11
| multiply(X4,sk_c11) != sk_c12
| multiply(X5,sk_c11) != sk_c10
| multiply(X6,sk_c12) != sk_c11
| inverse(X1) != identity
| inverse(X2) != sk_c11
| inverse(X3) != sk_c12
| inverse(X4) != sk_c11
| inverse(X5) != sk_c11
| inverse(X6) != sk_c12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_62]),c_0_115]),c_0_68])]) ).
cnf(c_0_119,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c12 ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_120,negated_conjecture,
( multiply(sk_c11,sk_c2) = identity
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_98,c_0_89]) ).
cnf(c_0_121,negated_conjecture,
( sk_c8 = sk_c9
| multiply(X1,sk_c11) != sk_c10
| multiply(X2,sk_c12) != sk_c11
| multiply(X3,sk_c11) != sk_c12
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c12) != sk_c11
| inverse(sk_c11) != identity
| inverse(X1) != sk_c11
| inverse(X2) != sk_c12
| inverse(X3) != sk_c11
| inverse(X4) != sk_c11
| inverse(X5) != sk_c12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_62]),c_0_119]) ).
cnf(c_0_122,negated_conjecture,
( sk_c8 = sk_c9
| identity = sk_c2 ),
inference(spm,[status(thm)],[c_0_120,c_0_102]) ).
cnf(c_0_123,negated_conjecture,
( sk_c8 = sk_c9
| multiply(X1,sk_c11) != sk_c10
| multiply(X2,sk_c12) != sk_c11
| multiply(X3,sk_c11) != sk_c12
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c12) != sk_c11
| inverse(X1) != sk_c11
| inverse(X2) != sk_c12
| inverse(X3) != sk_c11
| inverse(X4) != sk_c11
| inverse(X5) != sk_c12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_89]),c_0_122]) ).
cnf(c_0_124,negated_conjecture,
( sk_c8 = sk_c9
| multiply(X1,sk_c12) != sk_c11
| multiply(X2,sk_c11) != sk_c12
| multiply(X3,sk_c11) != sk_c10
| multiply(X4,sk_c12) != sk_c11
| inverse(X1) != sk_c12
| inverse(X2) != sk_c11
| inverse(X3) != sk_c11
| inverse(X4) != sk_c12 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_62]),c_0_68])]),c_0_108]) ).
cnf(c_0_125,negated_conjecture,
( sk_c8 = sk_c9
| multiply(X1,sk_c11) != sk_c12
| multiply(X2,sk_c11) != sk_c10
| multiply(X3,sk_c12) != sk_c11
| inverse(X1) != sk_c11
| inverse(X2) != sk_c11
| inverse(X3) != sk_c12 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_62]),c_0_68])]),c_0_94]) ).
cnf(c_0_126,negated_conjecture,
( inverse(sk_c3) = sk_c11
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_68,c_0_111]) ).
cnf(c_0_127,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c6) = sk_c9 ),
prove_this_46 ).
cnf(c_0_128,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c6) = sk_c9 ),
prove_this_66 ).
cnf(c_0_129,negated_conjecture,
( sk_c8 = sk_c9
| multiply(X1,sk_c11) != sk_c10
| multiply(X2,sk_c12) != sk_c11
| inverse(X1) != sk_c11
| inverse(X2) != sk_c12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_117]),c_0_126]) ).
cnf(c_0_130,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c9) = sk_c6 ),
inference(spm,[status(thm)],[c_0_68,c_0_127]) ).
cnf(c_0_131,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c9) = sk_c6 ),
inference(spm,[status(thm)],[c_0_68,c_0_128]) ).
cnf(c_0_132,negated_conjecture,
( sk_c8 = sk_c9
| multiply(X1,sk_c12) != sk_c11
| inverse(X1) != sk_c12 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_62]),c_0_68])]),c_0_108]) ).
cnf(c_0_133,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
prove_this_65 ).
cnf(c_0_134,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
prove_this_45 ).
cnf(c_0_135,negated_conjecture,
( inverse(sk_c11) = sk_c2
| inverse(sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_68,c_0_81]) ).
cnf(c_0_136,negated_conjecture,
( inverse(sk_c9) = sk_c6
| inverse(sk_c11) = sk_c2 ),
inference(spm,[status(thm)],[c_0_68,c_0_130]) ).
cnf(c_0_137,negated_conjecture,
( inverse(sk_c11) = sk_c3
| inverse(sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_68,c_0_104]) ).
cnf(c_0_138,negated_conjecture,
( inverse(sk_c9) = sk_c6
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_68,c_0_131]) ).
cnf(c_0_139,negated_conjecture,
( multiply(sk_c7,sk_c8) = identity
| inverse(sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_62,c_0_87]) ).
cnf(c_0_140,negated_conjecture,
sk_c8 = sk_c9,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_68])]),c_0_62]),c_0_94]) ).
cnf(c_0_141,negated_conjecture,
( multiply(sk_c7,sk_c8) = identity
| inverse(sk_c2) = sk_c11 ),
inference(spm,[status(thm)],[c_0_62,c_0_72]) ).
cnf(c_0_142,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_68,c_0_133]) ).
cnf(c_0_143,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| inverse(sk_c11) = sk_c2 ),
inference(spm,[status(thm)],[c_0_68,c_0_134]) ).
cnf(c_0_144,negated_conjecture,
( inverse(sk_c11) = sk_c2
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_145,negated_conjecture,
( inverse(sk_c11) = sk_c3
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_146,negated_conjecture,
( multiply(sk_c7,sk_c9) = identity
| inverse(sk_c3) = sk_c11 ),
inference(rw,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_147,negated_conjecture,
( multiply(sk_c7,sk_c9) = identity
| inverse(sk_c2) = sk_c11 ),
inference(rw,[status(thm)],[c_0_141,c_0_140]) ).
cnf(c_0_148,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_149,negated_conjecture,
( sk_c6 = sk_c7
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_150,negated_conjecture,
( multiply(sk_c7,sk_c9) = identity
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_68,c_0_146]) ).
cnf(c_0_151,negated_conjecture,
( multiply(sk_c7,sk_c9) = identity
| inverse(sk_c11) = sk_c2 ),
inference(spm,[status(thm)],[c_0_68,c_0_147]) ).
cnf(c_0_152,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c4) = sk_c12 ),
prove_this_42 ).
cnf(c_0_153,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c12
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_154,negated_conjecture,
( multiply(sk_c7,sk_c9) = identity
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_155,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c4) = sk_c12 ),
prove_this_62 ).
cnf(c_0_156,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c12) = sk_c4 ),
inference(spm,[status(thm)],[c_0_68,c_0_152]) ).
cnf(c_0_157,negated_conjecture,
( sk_c3 = sk_c2
| identity = sk_c12 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_158,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c12) = sk_c4 ),
inference(spm,[status(thm)],[c_0_68,c_0_155]) ).
cnf(c_0_159,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
prove_this_61 ).
cnf(c_0_160,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
prove_this_41 ).
cnf(c_0_161,negated_conjecture,
( inverse(sk_c12) = sk_c4
| inverse(sk_c11) = sk_c2 ),
inference(spm,[status(thm)],[c_0_68,c_0_156]) ).
cnf(c_0_162,negated_conjecture,
( inverse(sk_c12) = sk_c12
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_115,c_0_157]) ).
cnf(c_0_163,negated_conjecture,
( inverse(sk_c12) = sk_c4
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_68,c_0_158]) ).
cnf(c_0_164,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_68,c_0_159]) ).
cnf(c_0_165,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c11) = sk_c2 ),
inference(spm,[status(thm)],[c_0_68,c_0_160]) ).
cnf(c_0_166,negated_conjecture,
( inverse(sk_c11) = sk_c2
| sk_c3 = sk_c2
| sk_c4 = sk_c12 ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_167,negated_conjecture,
( inverse(sk_c11) = sk_c3
| sk_c3 = sk_c2
| sk_c4 = sk_c12 ),
inference(spm,[status(thm)],[c_0_163,c_0_162]) ).
cnf(c_0_168,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_169,negated_conjecture,
( sk_c4 = sk_c12
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_170,negated_conjecture,
( multiply(sk_c12,sk_c12) = sk_c11
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_171,negated_conjecture,
( multiply(sk_c12,sk_c12) = identity
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_62,c_0_162]) ).
cnf(c_0_172,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c5) = sk_c11 ),
prove_this_44 ).
cnf(c_0_173,negated_conjecture,
( sk_c3 = sk_c2
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_174,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c5) = sk_c11 ),
prove_this_64 ).
cnf(c_0_175,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c11) = sk_c5 ),
inference(spm,[status(thm)],[c_0_68,c_0_172]) ).
cnf(c_0_176,negated_conjecture,
( multiply(sk_c11,X1) = X1
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_63,c_0_173]) ).
cnf(c_0_177,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c6) = sk_c9 ),
prove_this_26 ).
cnf(c_0_178,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c11) = sk_c5 ),
inference(spm,[status(thm)],[c_0_68,c_0_174]) ).
cnf(c_0_179,negated_conjecture,
( inverse(sk_c11) = sk_c5
| inverse(sk_c11) = sk_c2 ),
inference(spm,[status(thm)],[c_0_68,c_0_175]) ).
cnf(c_0_180,negated_conjecture,
( inverse(sk_c11) = identity
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_98,c_0_176]) ).
cnf(c_0_181,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c9) = sk_c6 ),
inference(spm,[status(thm)],[c_0_68,c_0_177]) ).
cnf(c_0_182,negated_conjecture,
( inverse(sk_c11) = sk_c5
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_68,c_0_178]) ).
cnf(c_0_183,negated_conjecture,
( sk_c3 = sk_c2
| identity = sk_c2
| identity = sk_c5 ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_184,negated_conjecture,
( inverse(sk_c12) = sk_c1
| inverse(sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_68,c_0_73]) ).
cnf(c_0_185,negated_conjecture,
( inverse(sk_c9) = sk_c6
| inverse(sk_c12) = sk_c1 ),
inference(spm,[status(thm)],[c_0_68,c_0_181]) ).
cnf(c_0_186,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c6) = sk_c9 ),
prove_this_16 ).
cnf(c_0_187,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
prove_this_63 ).
cnf(c_0_188,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
prove_this_43 ).
cnf(c_0_189,negated_conjecture,
( sk_c3 = sk_c2
| identity = sk_c3
| identity = sk_c5 ),
inference(spm,[status(thm)],[c_0_182,c_0_180]) ).
cnf(c_0_190,negated_conjecture,
( identity = sk_c2
| sk_c5 = sk_c12
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_157,c_0_183]) ).
cnf(c_0_191,negated_conjecture,
( inverse(sk_c12) = sk_c1
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_192,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_68,c_0_79]) ).
cnf(c_0_193,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c9) = sk_c6 ),
inference(spm,[status(thm)],[c_0_68,c_0_186]) ).
cnf(c_0_194,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_68,c_0_187]) ).
cnf(c_0_195,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| inverse(sk_c11) = sk_c2 ),
inference(spm,[status(thm)],[c_0_68,c_0_188]) ).
cnf(c_0_196,negated_conjecture,
( sk_c5 = sk_c12
| sk_c5 = sk_c2
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_197,negated_conjecture,
( sk_c5 = sk_c12
| sk_c2 = sk_c12
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_157,c_0_190]) ).
cnf(c_0_198,negated_conjecture,
( multiply(sk_c1,sk_c12) = identity
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_62,c_0_191]) ).
cnf(c_0_199,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_200,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_201,negated_conjecture,
( sk_c3 = sk_c2
| sk_c5 = sk_c12 ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_196]),c_0_197]) ).
cnf(c_0_202,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c4) = sk_c12 ),
prove_this_22 ).
cnf(c_0_203,negated_conjecture,
( sk_c6 = sk_c7
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_204,negated_conjecture,
( multiply(sk_c12,sk_c11) = sk_c10
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_205,negated_conjecture,
( multiply(X1,sk_c11) = X1
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_67,c_0_173]) ).
cnf(c_0_206,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
prove_this_51 ).
cnf(c_0_207,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c6,sk_c9) = sk_c12 ),
prove_this_55 ).
cnf(c_0_208,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c6) = sk_c9 ),
prove_this_56 ).
cnf(c_0_209,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c12) = sk_c4 ),
inference(spm,[status(thm)],[c_0_68,c_0_202]) ).
cnf(c_0_210,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c6,sk_c9) = sk_c12 ),
prove_this_25 ).
cnf(c_0_211,negated_conjecture,
( inverse(sk_c11) = sk_c11
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_115,c_0_203]) ).
cnf(c_0_212,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c4) = sk_c12 ),
prove_this_52 ).
cnf(c_0_213,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c9,sk_c11) = sk_c12 ),
prove_this_57 ).
cnf(c_0_214,negated_conjecture,
( sk_c3 = sk_c2
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_215,negated_conjecture,
( multiply(sk_c4,multiply(sk_c12,X1)) = multiply(sk_c11,X1)
| multiply(sk_c3,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_61,c_0_206]) ).
cnf(c_0_216,plain,
multiply(X1,multiply(X2,inverse(multiply(X1,X2)))) = identity,
inference(spm,[status(thm)],[c_0_61,c_0_98]) ).
cnf(c_0_217,negated_conjecture,
( multiply(sk_c6,multiply(sk_c9,X1)) = multiply(sk_c12,X1)
| multiply(sk_c3,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_61,c_0_207]) ).
cnf(c_0_218,negated_conjecture,
( multiply(sk_c9,multiply(sk_c6,X1)) = X1
| multiply(sk_c3,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_64,c_0_208]) ).
cnf(c_0_219,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c6) = sk_c9 ),
prove_this_6 ).
cnf(c_0_220,negated_conjecture,
( inverse(sk_c12) = sk_c4
| inverse(sk_c12) = sk_c1 ),
inference(spm,[status(thm)],[c_0_68,c_0_209]) ).
cnf(c_0_221,negated_conjecture,
( multiply(sk_c12,sk_c4) = identity
| inverse(sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_62,c_0_155]) ).
cnf(c_0_222,negated_conjecture,
( multiply(sk_c12,sk_c1) = identity
| inverse(sk_c7) = sk_c9 ),
inference(spm,[status(thm)],[c_0_62,c_0_70]) ).
cnf(c_0_223,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| multiply(sk_c12,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_62,c_0_210]) ).
cnf(c_0_224,negated_conjecture,
( sk_c6 = sk_c7
| sk_c3 = sk_c11 ),
inference(spm,[status(thm)],[c_0_145,c_0_211]) ).
cnf(c_0_225,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c4) = sk_c12 ),
prove_this_32 ).
cnf(c_0_226,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c12,sk_c4) = identity ),
inference(spm,[status(thm)],[c_0_62,c_0_212]) ).
cnf(c_0_227,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c9,sk_c11) = sk_c12 ),
prove_this_37 ).
cnf(c_0_228,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c12
| multiply(sk_c9,sk_c11) = sk_c12
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_229,negated_conjecture,
( multiply(sk_c11,multiply(X1,inverse(multiply(sk_c12,X1)))) = sk_c4
| multiply(sk_c3,sk_c11) = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_67]) ).
cnf(c_0_230,negated_conjecture,
( multiply(sk_c12,multiply(sk_c6,X1)) = multiply(sk_c6,X1)
| multiply(sk_c3,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_231,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c5,sk_c11) = sk_c10 ),
prove_this_53 ).
cnf(c_0_232,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c6) = sk_c9 ),
prove_this_36 ).
cnf(c_0_233,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c9,sk_c6) = identity ),
inference(spm,[status(thm)],[c_0_62,c_0_208]) ).
cnf(c_0_234,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c9,sk_c11) = sk_c12 ),
prove_this_7 ).
cnf(c_0_235,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c5) = sk_c11 ),
prove_this_4 ).
cnf(c_0_236,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c12 ),
prove_this_5 ).
cnf(c_0_237,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c9) = sk_c6 ),
inference(spm,[status(thm)],[c_0_68,c_0_219]) ).
cnf(c_0_238,negated_conjecture,
( inverse(sk_c12) = sk_c1
| sk_c4 != sk_c1 ),
inference(ef,[status(thm)],[c_0_220]) ).
cnf(c_0_239,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
prove_this_11 ).
cnf(c_0_240,negated_conjecture,
( multiply(sk_c12,sk_c4) = identity
| multiply(sk_c3,sk_c11) = identity ),
inference(spm,[status(thm)],[c_0_98,c_0_221]) ).
cnf(c_0_241,negated_conjecture,
( multiply(sk_c12,sk_c1) = identity
| multiply(sk_c7,sk_c9) = identity ),
inference(spm,[status(thm)],[c_0_98,c_0_222]) ).
cnf(c_0_242,negated_conjecture,
( multiply(sk_c12,sk_c1) = identity
| multiply(sk_c7,sk_c9) = sk_c12
| sk_c3 = sk_c11 ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_243,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c5) = sk_c11 ),
prove_this_54 ).
cnf(c_0_244,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c12,sk_c4) = identity ),
inference(spm,[status(thm)],[c_0_62,c_0_225]) ).
cnf(c_0_245,negated_conjecture,
( multiply(sk_c12,sk_c4) = identity
| multiply(sk_c2,sk_c11) = sk_c12
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_226,c_0_214]) ).
cnf(c_0_246,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_247,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| sk_c4 = sk_c11 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_61]),c_0_216]),c_0_67]) ).
cnf(c_0_248,negated_conjecture,
( multiply(sk_c5,multiply(sk_c11,X1)) = multiply(sk_c10,X1)
| multiply(sk_c3,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_61,c_0_231]) ).
cnf(c_0_249,negated_conjecture,
( multiply(sk_c12,multiply(sk_c4,X1)) = X1
| multiply(sk_c3,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_64,c_0_212]) ).
cnf(c_0_250,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c9,sk_c6) = identity ),
inference(spm,[status(thm)],[c_0_62,c_0_232]) ).
cnf(c_0_251,negated_conjecture,
( multiply(sk_c9,sk_c6) = identity
| multiply(sk_c2,sk_c11) = sk_c12
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_233,c_0_214]) ).
cnf(c_0_252,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_68,c_0_90]) ).
cnf(c_0_253,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c9) = sk_c6 ),
inference(spm,[status(thm)],[c_0_68,c_0_232]) ).
cnf(c_0_254,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_68,c_0_112]) ).
cnf(c_0_255,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c9) = sk_c6 ),
inference(spm,[status(thm)],[c_0_68,c_0_208]) ).
cnf(c_0_256,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
prove_this_21 ).
cnf(c_0_257,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c4) = sk_c12 ),
prove_this_12 ).
cnf(c_0_258,negated_conjecture,
( multiply(sk_c9,multiply(sk_c11,X1)) = multiply(sk_c12,X1)
| multiply(sk_c11,sk_c12) = sk_c10 ),
inference(spm,[status(thm)],[c_0_61,c_0_234]) ).
cnf(c_0_259,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c11,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_62,c_0_235]) ).
cnf(c_0_260,negated_conjecture,
( multiply(sk_c6,multiply(sk_c9,X1)) = multiply(sk_c12,X1)
| multiply(sk_c11,sk_c12) = sk_c10 ),
inference(spm,[status(thm)],[c_0_61,c_0_236]) ).
cnf(c_0_261,negated_conjecture,
( multiply(sk_c6,multiply(sk_c9,X1)) = X1
| multiply(sk_c11,sk_c12) = sk_c10 ),
inference(spm,[status(thm)],[c_0_64,c_0_237]) ).
cnf(c_0_262,negated_conjecture,
( inverse(sk_c1) = sk_c12
| sk_c4 != sk_c1 ),
inference(spm,[status(thm)],[c_0_68,c_0_238]) ).
cnf(c_0_263,negated_conjecture,
( multiply(inverse(sk_c4),sk_c11) = sk_c12
| multiply(sk_c1,sk_c12) = sk_c11 ),
inference(spm,[status(thm)],[c_0_64,c_0_239]) ).
cnf(c_0_264,negated_conjecture,
( multiply(sk_c12,sk_c4) = identity
| identity = sk_c12 ),
inference(spm,[status(thm)],[c_0_226,c_0_240]) ).
cnf(c_0_265,negated_conjecture,
( multiply(sk_c12,sk_c1) = identity
| sk_c3 = sk_c11
| identity = sk_c12 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_266,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c11 ),
prove_this_34 ).
cnf(c_0_267,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c11,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_62,c_0_243]) ).
cnf(c_0_268,negated_conjecture,
( multiply(sk_c12,sk_c4) = identity
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_269,plain,
multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_216]),c_0_67]) ).
cnf(c_0_270,negated_conjecture,
( multiply(inverse(sk_c9),sk_c12) = sk_c11
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_64,c_0_246]) ).
cnf(c_0_271,negated_conjecture,
( multiply(inverse(sk_c3),sk_c12) = sk_c11
| sk_c4 = sk_c11 ),
inference(spm,[status(thm)],[c_0_64,c_0_247]) ).
cnf(c_0_272,negated_conjecture,
( multiply(sk_c10,multiply(X1,inverse(multiply(sk_c11,X1)))) = sk_c5
| multiply(sk_c3,sk_c11) = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_216]),c_0_67]) ).
cnf(c_0_273,negated_conjecture,
( multiply(sk_c11,multiply(sk_c4,X1)) = multiply(sk_c4,X1)
| multiply(sk_c3,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_215,c_0_249]) ).
cnf(c_0_274,negated_conjecture,
( multiply(sk_c9,sk_c6) = identity
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_275,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_276,negated_conjecture,
( multiply(sk_c2,sk_c11) = identity
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_62,c_0_144]) ).
cnf(c_0_277,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_278,negated_conjecture,
( multiply(sk_c3,sk_c11) = identity
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_62,c_0_145]) ).
cnf(c_0_279,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c12) = sk_c1 ),
inference(spm,[status(thm)],[c_0_68,c_0_256]) ).
cnf(c_0_280,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c4,sk_c12) = identity ),
inference(spm,[status(thm)],[c_0_98,c_0_257]) ).
cnf(c_0_281,negated_conjecture,
( inverse(sk_c11) = sk_c3
| sk_c5 != sk_c3 ),
inference(ef,[status(thm)],[c_0_182]) ).
cnf(c_0_282,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c6,sk_c9) = identity ),
inference(spm,[status(thm)],[c_0_98,c_0_208]) ).
cnf(c_0_283,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c12,sk_c5) = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_67]) ).
cnf(c_0_284,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c12,X1) = X1 ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_285,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
inference(spm,[status(thm)],[c_0_64,c_0_61]) ).
cnf(c_0_286,negated_conjecture,
( multiply(sk_c12,multiply(sk_c1,X1)) = X1
| sk_c4 != sk_c1 ),
inference(spm,[status(thm)],[c_0_64,c_0_262]) ).
cnf(c_0_287,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c12,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_263,c_0_257]) ).
cnf(c_0_288,negated_conjecture,
( inverse(sk_c12) = sk_c4
| identity = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_264]),c_0_67]) ).
cnf(c_0_289,negated_conjecture,
( inverse(sk_c12) = sk_c1
| identity = sk_c12
| sk_c3 = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_265]),c_0_67]) ).
cnf(c_0_290,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c11,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_62,c_0_266]) ).
cnf(c_0_291,negated_conjecture,
( multiply(sk_c11,sk_c5) = identity
| multiply(sk_c2,sk_c11) = sk_c12
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_267,c_0_214]) ).
cnf(c_0_292,negated_conjecture,
( inverse(sk_c12) = sk_c4
| sk_c10 = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_268]),c_0_67]) ).
cnf(c_0_293,negated_conjecture,
( multiply(sk_c12,inverse(sk_c11)) = sk_c9
| sk_c10 = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_68]) ).
cnf(c_0_294,negated_conjecture,
( multiply(sk_c12,inverse(sk_c11)) = sk_c3
| sk_c4 = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_271]),c_0_68]) ).
cnf(c_0_295,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| sk_c5 = sk_c10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_61]),c_0_216]),c_0_67]) ).
cnf(c_0_296,negated_conjecture,
( inverse(sk_c9) = sk_c6
| sk_c10 = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_274]),c_0_67]) ).
cnf(c_0_297,negated_conjecture,
( sk_c6 = sk_c7
| identity = sk_c10 ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_298,negated_conjecture,
( sk_c6 = sk_c7
| identity = sk_c12 ),
inference(spm,[status(thm)],[c_0_277,c_0_278]) ).
cnf(c_0_299,negated_conjecture,
( multiply(sk_c1,multiply(sk_c12,X1)) = X1
| multiply(sk_c4,sk_c12) = sk_c11 ),
inference(spm,[status(thm)],[c_0_64,c_0_279]) ).
cnf(c_0_300,negated_conjecture,
( multiply(sk_c1,sk_c12) = identity
| sk_c4 != sk_c1 ),
inference(spm,[status(thm)],[c_0_62,c_0_238]) ).
cnf(c_0_301,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_239,c_0_280]) ).
cnf(c_0_302,negated_conjecture,
( multiply(sk_c3,sk_c11) = identity
| sk_c5 != sk_c3 ),
inference(spm,[status(thm)],[c_0_62,c_0_281]) ).
cnf(c_0_303,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| identity = sk_c12 ),
inference(spm,[status(thm)],[c_0_207,c_0_282]) ).
cnf(c_0_304,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c5 = sk_c9 ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_305,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_98]),c_0_67]) ).
cnf(c_0_306,negated_conjecture,
( multiply(sk_c12,sk_c11) = sk_c12
| sk_c4 != sk_c1 ),
inference(spm,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_307,negated_conjecture,
( sk_c3 = sk_c11
| identity = sk_c12
| sk_c4 = sk_c1 ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_308,negated_conjecture,
( multiply(sk_c11,sk_c5) = identity
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_309,negated_conjecture,
( inverse(sk_c4) = sk_c12
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_68,c_0_292]) ).
cnf(c_0_310,negated_conjecture,
( sk_c4 = sk_c11
| sk_c10 = sk_c12
| sk_c3 = sk_c9 ),
inference(spm,[status(thm)],[c_0_293,c_0_294]) ).
cnf(c_0_311,negated_conjecture,
( multiply(inverse(sk_c3),sk_c12) = sk_c11
| sk_c5 = sk_c10 ),
inference(spm,[status(thm)],[c_0_64,c_0_295]) ).
cnf(c_0_312,negated_conjecture,
( inverse(sk_c6) = sk_c9
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_68,c_0_296]) ).
cnf(c_0_313,negated_conjecture,
( sk_c10 = sk_c12
| sk_c6 = sk_c7 ),
inference(spm,[status(thm)],[c_0_297,c_0_298]) ).
cnf(c_0_314,negated_conjecture,
( multiply(sk_c4,sk_c12) = identity
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_62,c_0_292]) ).
cnf(c_0_315,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| sk_c10 = sk_c12
| sk_c4 = sk_c1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_268]),c_0_67]) ).
cnf(c_0_316,negated_conjecture,
( identity = sk_c11
| sk_c4 != sk_c1 ),
inference(spm,[status(thm)],[c_0_300,c_0_301]) ).
cnf(c_0_317,negated_conjecture,
( identity = sk_c12
| sk_c5 != sk_c3 ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_318,negated_conjecture,
( multiply(inverse(sk_c11),sk_c10) = sk_c12
| sk_c5 = sk_c9 ),
inference(spm,[status(thm)],[c_0_64,c_0_304]) ).
cnf(c_0_319,negated_conjecture,
( inverse(sk_c11) = identity
| sk_c4 != sk_c1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_62]) ).
cnf(c_0_320,negated_conjecture,
( inverse(sk_c12) = sk_c12
| sk_c4 = sk_c1
| sk_c3 = sk_c11 ),
inference(spm,[status(thm)],[c_0_115,c_0_307]) ).
cnf(c_0_321,negated_conjecture,
( inverse(sk_c11) = sk_c5
| sk_c10 = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_308]),c_0_67]) ).
cnf(c_0_322,negated_conjecture,
( inverse(sk_c11) = sk_c12
| sk_c3 = sk_c9
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_323,negated_conjecture,
( multiply(sk_c12,inverse(sk_c11)) = sk_c3
| sk_c5 = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_311]),c_0_68]) ).
cnf(c_0_324,negated_conjecture,
( inverse(sk_c7) = sk_c9
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
cnf(c_0_325,negated_conjecture,
( multiply(sk_c6,sk_c12) = sk_c11
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_270,c_0_296]) ).
cnf(c_0_326,negated_conjecture,
( sk_c10 = sk_c12
| identity = sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_316]) ).
cnf(c_0_327,negated_conjecture,
( inverse(sk_c12) = sk_c12
| sk_c5 != sk_c3 ),
inference(spm,[status(thm)],[c_0_115,c_0_317]) ).
cnf(c_0_328,negated_conjecture,
( sk_c5 = sk_c9
| sk_c10 = sk_c12
| sk_c4 != sk_c1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_63]) ).
cnf(c_0_329,negated_conjecture,
( sk_c3 = sk_c11
| sk_c4 = sk_c1
| sk_c10 = sk_c12
| sk_c4 = sk_c12 ),
inference(spm,[status(thm)],[c_0_292,c_0_320]) ).
cnf(c_0_330,negated_conjecture,
( sk_c3 = sk_c9
| sk_c10 = sk_c12
| sk_c5 = sk_c12 ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_331,negated_conjecture,
( sk_c5 = sk_c10
| sk_c10 = sk_c12
| sk_c3 = sk_c9 ),
inference(spm,[status(thm)],[c_0_293,c_0_323]) ).
cnf(c_0_332,negated_conjecture,
( inverse(sk_c11) = sk_c2
| sk_c5 != sk_c2 ),
inference(ef,[status(thm)],[c_0_179]) ).
cnf(c_0_333,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10 ),
prove_this_33 ).
cnf(c_0_334,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c5,sk_c11) = identity ),
inference(spm,[status(thm)],[c_0_98,c_0_266]) ).
cnf(c_0_335,negated_conjecture,
( inverse(sk_c9) = sk_c7
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_68,c_0_324]) ).
cnf(c_0_336,negated_conjecture,
( multiply(inverse(sk_c6),sk_c11) = sk_c12
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_64,c_0_325]) ).
cnf(c_0_337,negated_conjecture,
( inverse(sk_c11) = sk_c11
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_115,c_0_326]) ).
cnf(c_0_338,negated_conjecture,
( sk_c10 = sk_c12
| sk_c4 = sk_c12
| sk_c5 != sk_c3 ),
inference(spm,[status(thm)],[c_0_327,c_0_292]) ).
cnf(c_0_339,negated_conjecture,
( sk_c4 = sk_c12
| sk_c3 = sk_c11
| sk_c10 = sk_c12
| sk_c5 = sk_c9 ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_340,negated_conjecture,
( sk_c10 = sk_c12
| sk_c3 = sk_c9 ),
inference(spm,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_341,negated_conjecture,
( multiply(sk_c2,sk_c11) = identity
| sk_c5 != sk_c2 ),
inference(spm,[status(thm)],[c_0_62,c_0_332]) ).
cnf(c_0_342,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| identity = sk_c10 ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_343,negated_conjecture,
( multiply(sk_c7,sk_c12) = sk_c11
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_270,c_0_335]) ).
cnf(c_0_344,negated_conjecture,
( multiply(sk_c11,inverse(sk_c12)) = sk_c6
| sk_c10 = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_336]),c_0_68]) ).
cnf(c_0_345,negated_conjecture,
( sk_c10 = sk_c12
| sk_c5 = sk_c11 ),
inference(spm,[status(thm)],[c_0_321,c_0_337]) ).
cnf(c_0_346,negated_conjecture,
( sk_c3 = sk_c11
| sk_c4 = sk_c12
| sk_c10 = sk_c12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_340]) ).
cnf(c_0_347,negated_conjecture,
( identity = sk_c10
| sk_c5 != sk_c2 ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_348,negated_conjecture,
( multiply(inverse(sk_c7),sk_c11) = sk_c12
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_64,c_0_343]) ).
cnf(c_0_349,negated_conjecture,
( multiply(sk_c11,sk_c4) = sk_c6
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_344,c_0_292]) ).
cnf(c_0_350,negated_conjecture,
( sk_c4 = sk_c12
| sk_c10 = sk_c12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_345]),c_0_346]) ).
cnf(c_0_351,negated_conjecture,
( sk_c10 = sk_c12
| sk_c5 != sk_c3
| sk_c5 != sk_c2 ),
inference(spm,[status(thm)],[c_0_317,c_0_347]) ).
cnf(c_0_352,negated_conjecture,
( multiply(sk_c11,inverse(sk_c12)) = sk_c7
| sk_c10 = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_348]),c_0_68]) ).
cnf(c_0_353,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c6
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_349,c_0_350]) ).
cnf(c_0_354,negated_conjecture,
( sk_c10 = sk_c12
| sk_c3 != sk_c11
| sk_c2 != sk_c11 ),
inference(spm,[status(thm)],[c_0_351,c_0_345]) ).
cnf(c_0_355,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c9,sk_c11) = sk_c12 ),
prove_this_27 ).
cnf(c_0_356,negated_conjecture,
( multiply(sk_c11,sk_c4) = sk_c7
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_352,c_0_292]) ).
cnf(c_0_357,negated_conjecture,
( sk_c10 = sk_c12
| sk_c5 = sk_c9
| sk_c6 = sk_c10 ),
inference(spm,[status(thm)],[c_0_304,c_0_353]) ).
cnf(c_0_358,negated_conjecture,
( sk_c10 = sk_c12
| sk_c2 != sk_c11 ),
inference(spm,[status(thm)],[c_0_354,c_0_214]) ).
cnf(c_0_359,negated_conjecture,
( sk_c10 = sk_c12
| sk_c2 = sk_c9 ),
inference(spm,[status(thm)],[c_0_214,c_0_340]) ).
cnf(c_0_360,negated_conjecture,
( multiply(inverse(sk_c2),sk_c10) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_64,c_0_227]) ).
cnf(c_0_361,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
prove_this_17 ).
cnf(c_0_362,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| inverse(sk_c12) = sk_c1 ),
inference(spm,[status(thm)],[c_0_68,c_0_355]) ).
cnf(c_0_363,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c4,sk_c12) = sk_c11 ),
prove_this_1 ).
cnf(c_0_364,negated_conjecture,
( multiply(inverse(sk_c11),sk_c7) = sk_c4
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_64,c_0_356]) ).
cnf(c_0_365,negated_conjecture,
( sk_c5 = sk_c9
| sk_c7 = sk_c10
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_313,c_0_357]) ).
cnf(c_0_366,negated_conjecture,
( sk_c10 = sk_c12
| sk_c9 != sk_c11 ),
inference(spm,[status(thm)],[c_0_358,c_0_359]) ).
cnf(c_0_367,negated_conjecture,
( multiply(inverse(sk_c2),multiply(sk_c10,X1)) = multiply(sk_c11,X1)
| multiply(sk_c9,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_61,c_0_360]) ).
cnf(c_0_368,negated_conjecture,
( multiply(sk_c1,multiply(sk_c12,X1)) = multiply(sk_c11,X1)
| multiply(sk_c9,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_61,c_0_361]) ).
cnf(c_0_369,negated_conjecture,
( multiply(sk_c1,multiply(sk_c12,X1)) = X1
| multiply(sk_c9,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_64,c_0_362]) ).
cnf(c_0_370,negated_conjecture,
( multiply(inverse(sk_c4),sk_c11) = sk_c12
| multiply(sk_c11,sk_c12) = sk_c10 ),
inference(spm,[status(thm)],[c_0_64,c_0_363]) ).
cnf(c_0_371,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c4) = sk_c12 ),
prove_this_2 ).
cnf(c_0_372,negated_conjecture,
( multiply(sk_c11,sk_c7) = sk_c4
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_364,c_0_337]) ).
cnf(c_0_373,negated_conjecture,
( sk_c7 = sk_c10
| sk_c10 = sk_c12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_365]),c_0_366]) ).
cnf(c_0_374,negated_conjecture,
( multiply(sk_c11,inverse(sk_c10)) = inverse(sk_c2)
| multiply(sk_c9,sk_c11) = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_98]),c_0_67]) ).
cnf(c_0_375,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| multiply(sk_c11,X1) = X1 ),
inference(spm,[status(thm)],[c_0_368,c_0_369]) ).
cnf(c_0_376,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c12,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_370,c_0_371]) ).
cnf(c_0_377,negated_conjecture,
( multiply(sk_c11,sk_c10) = sk_c4
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_372,c_0_373]) ).
cnf(c_0_378,negated_conjecture,
( multiply(sk_c11,X1) = X1
| sk_c10 = sk_c12 ),
inference(spm,[status(thm)],[c_0_63,c_0_326]) ).
cnf(c_0_379,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
prove_this_47 ).
cnf(c_0_380,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| inverse(sk_c2) = inverse(sk_c10) ),
inference(spm,[status(thm)],[c_0_374,c_0_375]) ).
cnf(c_0_381,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c11) = sk_c5 ),
inference(spm,[status(thm)],[c_0_68,c_0_235]) ).
cnf(c_0_382,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c11) = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_376]),c_0_62]) ).
cnf(c_0_383,negated_conjecture,
( sk_c10 = sk_c12
| sk_c4 = sk_c10 ),
inference(spm,[status(thm)],[c_0_377,c_0_378]) ).
cnf(c_0_384,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
prove_this_67 ).
cnf(c_0_385,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| inverse(sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_379,c_0_380]) ).
cnf(c_0_386,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c12 = sk_c11 ),
inference(spm,[status(thm)],[c_0_376,c_0_284]) ).
cnf(c_0_387,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c5) = sk_c11 ),
prove_this_24 ).
cnf(c_0_388,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| identity = sk_c5 ),
inference(spm,[status(thm)],[c_0_381,c_0_382]) ).
cnf(c_0_389,negated_conjecture,
sk_c10 = sk_c12,
inference(spm,[status(thm)],[c_0_350,c_0_383]) ).
cnf(c_0_390,negated_conjecture,
( multiply(inverse(sk_c3),sk_c12) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_64,c_0_213]) ).
cnf(c_0_391,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| inverse(sk_c11) = sk_c3 ),
inference(spm,[status(thm)],[c_0_68,c_0_384]) ).
cnf(c_0_392,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| inverse(sk_c11) = sk_c10 ),
inference(spm,[status(thm)],[c_0_68,c_0_385]) ).
cnf(c_0_393,negated_conjecture,
( multiply(sk_c11,sk_c5) = identity
| inverse(sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_62,c_0_174]) ).
cnf(c_0_394,negated_conjecture,
( multiply(inverse(sk_c11),sk_c10) = sk_c12
| sk_c12 = sk_c11 ),
inference(spm,[status(thm)],[c_0_64,c_0_386]) ).
cnf(c_0_395,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c5) = sk_c11 ),
prove_this_14 ).
cnf(c_0_396,negated_conjecture,
( multiply(sk_c11,sk_c5) = identity
| inverse(sk_c1) = sk_c12 ),
inference(spm,[status(thm)],[c_0_62,c_0_387]) ).
cnf(c_0_397,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c12
| identity = sk_c5 ),
inference(rw,[status(thm)],[c_0_388,c_0_389]) ).
cnf(c_0_398,negated_conjecture,
( multiply(inverse(sk_c3),multiply(sk_c12,X1)) = multiply(sk_c11,X1)
| multiply(sk_c9,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_61,c_0_390]) ).
cnf(c_0_399,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| sk_c3 = sk_c10 ),
inference(spm,[status(thm)],[c_0_391,c_0_392]) ).
cnf(c_0_400,negated_conjecture,
( multiply(sk_c11,sk_c5) = identity
| multiply(sk_c3,sk_c11) = identity ),
inference(spm,[status(thm)],[c_0_98,c_0_393]) ).
cnf(c_0_401,negated_conjecture,
( multiply(sk_c10,inverse(sk_c12)) = sk_c11
| sk_c12 = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_394]),c_0_68]) ).
cnf(c_0_402,negated_conjecture,
( sk_c6 = sk_c7
| sk_c2 = sk_c11 ),
inference(spm,[status(thm)],[c_0_144,c_0_211]) ).
cnf(c_0_403,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c11,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_62,c_0_395]) ).
cnf(c_0_404,negated_conjecture,
( multiply(sk_c11,sk_c5) = identity
| multiply(sk_c1,sk_c12) = identity ),
inference(spm,[status(thm)],[c_0_98,c_0_396]) ).
cnf(c_0_405,negated_conjecture,
( inverse(sk_c11) = identity
| identity = sk_c5 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_397]),c_0_98]) ).
cnf(c_0_406,negated_conjecture,
( multiply(sk_c11,inverse(sk_c12)) = sk_c1
| multiply(sk_c9,sk_c11) = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_98]),c_0_67]) ).
cnf(c_0_407,negated_conjecture,
( multiply(sk_c11,inverse(sk_c12)) = inverse(sk_c3)
| multiply(sk_c9,sk_c11) = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_98]),c_0_67]) ).
cnf(c_0_408,negated_conjecture,
( multiply(inverse(sk_c9),sk_c12) = sk_c11
| sk_c3 = sk_c10 ),
inference(spm,[status(thm)],[c_0_64,c_0_399]) ).
cnf(c_0_409,negated_conjecture,
( multiply(sk_c11,sk_c5) = identity
| identity = sk_c12 ),
inference(spm,[status(thm)],[c_0_267,c_0_400]) ).
cnf(c_0_410,negated_conjecture,
( sk_c12 = sk_c11
| identity = sk_c11 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_401,c_0_389]),c_0_98]) ).
cnf(c_0_411,negated_conjecture,
( multiply(sk_c12,sk_c1) = identity
| multiply(sk_c7,sk_c9) = sk_c12
| sk_c2 = sk_c11 ),
inference(spm,[status(thm)],[c_0_223,c_0_402]) ).
cnf(c_0_412,negated_conjecture,
( multiply(sk_c11,sk_c5) = identity
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_413,negated_conjecture,
( identity = sk_c5
| identity = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_405]),c_0_63]) ).
cnf(c_0_414,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| inverse(sk_c3) = sk_c1 ),
inference(spm,[status(thm)],[c_0_406,c_0_407]) ).
cnf(c_0_415,negated_conjecture,
( multiply(sk_c12,inverse(sk_c11)) = sk_c9
| sk_c3 = sk_c10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_408]),c_0_68]) ).
cnf(c_0_416,negated_conjecture,
( inverse(sk_c11) = sk_c5
| identity = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_409]),c_0_67]) ).
cnf(c_0_417,negated_conjecture,
( inverse(sk_c11) = sk_c11
| sk_c12 = sk_c11 ),
inference(spm,[status(thm)],[c_0_115,c_0_410]) ).
cnf(c_0_418,negated_conjecture,
( multiply(sk_c12,sk_c1) = identity
| sk_c2 = sk_c11
| identity = sk_c12 ),
inference(spm,[status(thm)],[c_0_241,c_0_411]) ).
cnf(c_0_419,negated_conjecture,
( inverse(sk_c5) = sk_c11
| identity = sk_c11 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_412]),c_0_115]),c_0_63]) ).
cnf(c_0_420,negated_conjecture,
( inverse(sk_c5) = sk_c5
| identity = sk_c11 ),
inference(spm,[status(thm)],[c_0_115,c_0_413]) ).
cnf(c_0_421,negated_conjecture,
( identity = sk_c11
| sk_c5 != sk_c11 ),
inference(ef,[status(thm)],[c_0_413]) ).
cnf(c_0_422,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| inverse(sk_c1) = sk_c3 ),
inference(spm,[status(thm)],[c_0_68,c_0_414]) ).
cnf(c_0_423,negated_conjecture,
( sk_c3 = sk_c10
| sk_c5 = sk_c10
| sk_c3 = sk_c9 ),
inference(spm,[status(thm)],[c_0_323,c_0_415]) ).
cnf(c_0_424,negated_conjecture,
( sk_c12 = sk_c11
| identity = sk_c12
| sk_c5 = sk_c11 ),
inference(spm,[status(thm)],[c_0_416,c_0_417]) ).
cnf(c_0_425,negated_conjecture,
( identity = sk_c2
| identity = sk_c5 ),
inference(spm,[status(thm)],[c_0_179,c_0_405]) ).
cnf(c_0_426,negated_conjecture,
( inverse(sk_c12) = sk_c1
| identity = sk_c12
| sk_c2 = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_418]),c_0_67]) ).
cnf(c_0_427,negated_conjecture,
identity = sk_c11,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_421]) ).
cnf(c_0_428,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c12
| sk_c3 = sk_c12 ),
inference(spm,[status(thm)],[c_0_355,c_0_422]) ).
cnf(c_0_429,negated_conjecture,
( sk_c3 = sk_c9
| sk_c5 = sk_c12
| sk_c3 = sk_c12 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_423,c_0_389]),c_0_389]) ).
cnf(c_0_430,negated_conjecture,
( sk_c5 = sk_c11
| sk_c12 = sk_c11 ),
inference(spm,[status(thm)],[c_0_410,c_0_424]) ).
cnf(c_0_431,negated_conjecture,
( identity = sk_c2
| sk_c5 != sk_c2 ),
inference(ef,[status(thm)],[c_0_425]) ).
cnf(c_0_432,negated_conjecture,
( inverse(sk_c11) = sk_c11
| sk_c4 != sk_c1 ),
inference(spm,[status(thm)],[c_0_115,c_0_316]) ).
cnf(c_0_433,negated_conjecture,
( sk_c2 = sk_c11
| identity = sk_c12
| sk_c4 = sk_c1 ),
inference(spm,[status(thm)],[c_0_288,c_0_426]) ).
cnf(c_0_434,negated_conjecture,
( identity = sk_c5
| sk_c2 = sk_c11 ),
inference(rw,[status(thm)],[c_0_425,c_0_427]) ).
cnf(c_0_435,negated_conjecture,
( multiply(inverse(sk_c9),sk_c12) = sk_c11
| sk_c3 = sk_c12 ),
inference(spm,[status(thm)],[c_0_64,c_0_428]) ).
cnf(c_0_436,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c12
| sk_c12 = sk_c11 ),
inference(rw,[status(thm)],[c_0_386,c_0_389]) ).
cnf(c_0_437,negated_conjecture,
( sk_c3 = sk_c12
| sk_c12 = sk_c11
| sk_c3 = sk_c9 ),
inference(spm,[status(thm)],[c_0_429,c_0_430]) ).
cnf(c_0_438,negated_conjecture,
( inverse(sk_c2) = sk_c11
| sk_c5 != sk_c2 ),
inference(spm,[status(thm)],[c_0_68,c_0_332]) ).
cnf(c_0_439,negated_conjecture,
( inverse(sk_c2) = sk_c2
| sk_c5 != sk_c2 ),
inference(spm,[status(thm)],[c_0_115,c_0_431]) ).
cnf(c_0_440,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c2 = sk_c11
| sk_c4 != sk_c1 ),
inference(spm,[status(thm)],[c_0_195,c_0_432]) ).
cnf(c_0_441,plain,
multiply(X1,sk_c11) = X1,
inference(rw,[status(thm)],[c_0_67,c_0_427]) ).
cnf(c_0_442,negated_conjecture,
( sk_c4 = sk_c1
| sk_c5 = sk_c12
| sk_c2 = sk_c11 ),
inference(spm,[status(thm)],[c_0_433,c_0_434]) ).
cnf(c_0_443,negated_conjecture,
( multiply(sk_c12,X1) = X1
| sk_c3 = sk_c2 ),
inference(spm,[status(thm)],[c_0_63,c_0_157]) ).
cnf(c_0_444,negated_conjecture,
( multiply(sk_c12,inverse(sk_c11)) = sk_c9
| sk_c3 = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_435]),c_0_68]) ).
cnf(c_0_445,negated_conjecture,
( inverse(sk_c11) = identity
| sk_c12 = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_436]),c_0_98]) ).
cnf(c_0_446,negated_conjecture,
( sk_c12 = sk_c11
| sk_c3 = sk_c12
| sk_c9 != sk_c12 ),
inference(ef,[status(thm)],[c_0_437]) ).
cnf(c_0_447,negated_conjecture,
( sk_c2 = sk_c11
| sk_c5 != sk_c2 ),
inference(spm,[status(thm)],[c_0_438,c_0_439]) ).
cnf(c_0_448,negated_conjecture,
( sk_c2 = sk_c11
| sk_c5 = sk_c12 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_440,c_0_389]),c_0_441]),c_0_442]) ).
cnf(c_0_449,negated_conjecture,
( sk_c3 = sk_c2
| sk_c12 = sk_c11 ),
inference(spm,[status(thm)],[c_0_443,c_0_170]) ).
cnf(c_0_450,negated_conjecture,
( sk_c12 = sk_c11
| sk_c3 = sk_c12 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_445]),c_0_67]),c_0_446]) ).
cnf(c_0_451,negated_conjecture,
( sk_c2 = sk_c11
| sk_c2 != sk_c12 ),
inference(spm,[status(thm)],[c_0_447,c_0_448]) ).
cnf(c_0_452,negated_conjecture,
( sk_c12 = sk_c11
| sk_c2 = sk_c12 ),
inference(spm,[status(thm)],[c_0_449,c_0_450]) ).
cnf(c_0_453,negated_conjecture,
sk_c12 = sk_c11,
inference(spm,[status(thm)],[c_0_451,c_0_452]) ).
cnf(c_0_454,plain,
multiply(sk_c11,X1) = X1,
inference(rw,[status(thm)],[c_0_63,c_0_427]) ).
cnf(c_0_455,plain,
inverse(sk_c11) = sk_c11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_427]),c_0_427]) ).
cnf(c_0_456,negated_conjecture,
( inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(X1,inverse(X2)) != inverse(X1)
| inverse(X2) != sk_c11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[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(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_389]),c_0_389]),c_0_389]),c_0_441]),c_0_453]),c_0_454]),c_0_453]),c_0_453]),c_0_441]),c_0_453]),c_0_453]),c_0_441]),c_0_441]),c_0_453]),c_0_441]),c_0_453]),c_0_453]),c_0_441]),c_0_453]),c_0_453]),c_0_427]),c_0_453])])])])])])]),c_0_455])]) ).
cnf(c_0_457,plain,
multiply(inverse(X1),X1) = sk_c11,
inference(rw,[status(thm)],[c_0_62,c_0_427]) ).
cnf(c_0_458,negated_conjecture,
inverse(X1) != sk_c11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_457]),c_0_455]),c_0_68])]) ).
cnf(c_0_459,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_172,c_0_458]),c_0_458]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP312-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n014.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 18:31:36 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 141.86/109.81 % Version : CSE_E---1.7
% 141.86/109.81 % Problem : theBenchmark.p
% 141.86/109.81 % SZS status Unsatisfiable for theBenchmark.p
% 141.86/109.81 % SZS output start CNFRefutation
% See solution above
% 142.66/110.65 % Total time : 81.038s
%------------------------------------------------------------------------------