%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP318-1 : 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 : n011.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 04:25:32 PM UTC 2026
% Result : Unsatisfiable 202.92s 130.58s
% Output : CNFRefutation 203.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_143)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this_61,negated_conjecture,
( multiply(sk_c11,sk_c12) != sk_c10
| multiply(X1,sk_c11) != sk_c12
| inverse(X1) != sk_c11
| multiply(sk_c12,X2) != sk_c11
| multiply(X3,sk_c12) != X2
| inverse(X3) != sk_c12
| 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_61) ).
cnf(associativity,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(prove_this_50,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
cnf(prove_this_20,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(prove_this_47,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
cnf(prove_this_17,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
cnf(prove_this_45,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
cnf(prove_this_15,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(prove_this_43,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
cnf(prove_this_13,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
cnf(prove_this_41,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
cnf(prove_this_11,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(prove_this_40,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
cnf(prove_this_37,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
cnf(prove_this_35,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
cnf(prove_this_33,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
cnf(prove_this_31,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(prove_this_10,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
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_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_3,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
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(left_inverse,axiom,
multiply(inverse(X1),X1) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(prove_this_60,negated_conjecture,
( inverse(sk_c2) = sk_c12
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).
cnf(prove_this_57,negated_conjecture,
( inverse(sk_c2) = sk_c12
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
cnf(prove_this_55,negated_conjecture,
( inverse(sk_c2) = sk_c12
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
cnf(prove_this_53,negated_conjecture,
( inverse(sk_c2) = sk_c12
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
cnf(prove_this_51,negated_conjecture,
( inverse(sk_c2) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
cnf(prove_this_30,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(prove_this_27,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(prove_this_25,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(prove_this_23,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(prove_this_21,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(prove_this_49,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| 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_c11) = sk_c12
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(prove_this_39,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| 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_48,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| 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_c11) = sk_c12
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
cnf(prove_this_38,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| 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_46,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
cnf(prove_this_16,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(prove_this_36,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
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_44,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
cnf(prove_this_14,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(prove_this_34,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
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_42,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
cnf(prove_this_12,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
cnf(prove_this_32,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
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(left_identity,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(prove_this_59,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
cnf(prove_this_29,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(prove_this_58,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
cnf(prove_this_28,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(prove_this_56,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
cnf(prove_this_26,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(prove_this_54,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
cnf(prove_this_24,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(prove_this_52,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
cnf(prove_this_22,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(i_0_64,negated_conjecture,
( multiply(sk_c11,sk_c12) != sk_c10
| multiply(X1,sk_c11) != sk_c12
| inverse(X1) != sk_c11
| multiply(sk_c12,X2) != sk_c11
| multiply(X3,sk_c12) != X2
| inverse(X3) != sk_c12
| 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_61,
[final] ).
cnf(i_0_65,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
associativity,
[final] ).
cnf(i_0_66,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| multiply(sk_c8,sk_c9) = sk_c7 ),
prove_this_50,
[final] ).
cnf(i_0_67,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c8,sk_c9) = sk_c7 ),
prove_this_20,
[final] ).
cnf(i_0_68,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| multiply(sk_c9,sk_c11) = sk_c12 ),
prove_this_47,
[final] ).
cnf(i_0_69,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c9,sk_c11) = sk_c12 ),
prove_this_17,
[final] ).
cnf(i_0_70,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| multiply(sk_c6,sk_c9) = sk_c12 ),
prove_this_45,
[final] ).
cnf(i_0_71,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c6,sk_c9) = sk_c12 ),
prove_this_15,
[final] ).
cnf(i_0_72,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| multiply(sk_c5,sk_c11) = sk_c10 ),
prove_this_43,
[final] ).
cnf(i_0_73,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c5,sk_c11) = sk_c10 ),
prove_this_13,
[final] ).
cnf(i_0_74,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| multiply(sk_c4,sk_c12) = sk_c11 ),
prove_this_41,
[final] ).
cnf(i_0_75,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
prove_this_11,
[final] ).
cnf(i_0_76,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c7 ),
prove_this_40,
[final] ).
cnf(i_0_77,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
prove_this_37,
[final] ).
cnf(i_0_78,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
prove_this_35,
[final] ).
cnf(i_0_79,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
prove_this_33,
[final] ).
cnf(i_0_80,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
prove_this_31,
[final] ).
cnf(i_0_81,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c7 ),
prove_this_10,
[final] ).
cnf(i_0_82,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c9,sk_c11) = sk_c12 ),
prove_this_7,
[final] ).
cnf(i_0_83,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c12 ),
prove_this_5,
[final] ).
cnf(i_0_84,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10 ),
prove_this_3,
[final] ).
cnf(i_0_85,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c4,sk_c12) = sk_c11 ),
prove_this_1,
[final] ).
cnf(i_0_86,axiom,
multiply(inverse(X1),X1) = identity,
left_inverse,
[final] ).
cnf(i_0_87,negated_conjecture,
( inverse(sk_c2) = sk_c12
| multiply(sk_c8,sk_c9) = sk_c7 ),
prove_this_60,
[final] ).
cnf(i_0_88,negated_conjecture,
( inverse(sk_c2) = sk_c12
| multiply(sk_c9,sk_c11) = sk_c12 ),
prove_this_57,
[final] ).
cnf(i_0_89,negated_conjecture,
( inverse(sk_c2) = sk_c12
| multiply(sk_c6,sk_c9) = sk_c12 ),
prove_this_55,
[final] ).
cnf(i_0_90,negated_conjecture,
( inverse(sk_c2) = sk_c12
| multiply(sk_c5,sk_c11) = sk_c10 ),
prove_this_53,
[final] ).
cnf(i_0_91,negated_conjecture,
( inverse(sk_c2) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
prove_this_51,
[final] ).
cnf(i_0_92,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c7 ),
prove_this_30,
[final] ).
cnf(i_0_93,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
prove_this_27,
[final] ).
cnf(i_0_94,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
prove_this_25,
[final] ).
cnf(i_0_95,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
prove_this_23,
[final] ).
cnf(i_0_96,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
prove_this_21,
[final] ).
cnf(i_0_97,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| inverse(sk_c7) = sk_c9 ),
prove_this_49,
[final] ).
cnf(i_0_98,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c7) = sk_c9 ),
prove_this_19,
[final] ).
cnf(i_0_99,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c7) = sk_c9 ),
prove_this_39,
[final] ).
cnf(i_0_100,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c7) = sk_c9 ),
prove_this_9,
[final] ).
cnf(i_0_101,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| inverse(sk_c8) = sk_c7 ),
prove_this_48,
[final] ).
cnf(i_0_102,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c8) = sk_c7 ),
prove_this_18,
[final] ).
cnf(i_0_103,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c8) = sk_c7 ),
prove_this_38,
[final] ).
cnf(i_0_104,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c8) = sk_c7 ),
prove_this_8,
[final] ).
cnf(i_0_105,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| inverse(sk_c6) = sk_c9 ),
prove_this_46,
[final] ).
cnf(i_0_106,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c6) = sk_c9 ),
prove_this_16,
[final] ).
cnf(i_0_107,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c6) = sk_c9 ),
prove_this_36,
[final] ).
cnf(i_0_108,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c6) = sk_c9 ),
prove_this_6,
[final] ).
cnf(i_0_109,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| inverse(sk_c5) = sk_c11 ),
prove_this_44,
[final] ).
cnf(i_0_110,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c5) = sk_c11 ),
prove_this_14,
[final] ).
cnf(i_0_111,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c5) = sk_c11 ),
prove_this_34,
[final] ).
cnf(i_0_112,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c5) = sk_c11 ),
prove_this_4,
[final] ).
cnf(i_0_113,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| inverse(sk_c4) = sk_c12 ),
prove_this_42,
[final] ).
cnf(i_0_114,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c4) = sk_c12 ),
prove_this_12,
[final] ).
cnf(i_0_115,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c4) = sk_c12 ),
prove_this_32,
[final] ).
cnf(i_0_116,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c4) = sk_c12 ),
prove_this_2,
[final] ).
cnf(i_0_117,axiom,
multiply(identity,X1) = X1,
left_identity,
[final] ).
cnf(i_0_118,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c7) = sk_c9 ),
prove_this_59,
[final] ).
cnf(i_0_119,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c7) = sk_c9 ),
prove_this_29,
[final] ).
cnf(i_0_120,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c8) = sk_c7 ),
prove_this_58,
[final] ).
cnf(i_0_121,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c8) = sk_c7 ),
prove_this_28,
[final] ).
cnf(i_0_122,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c6) = sk_c9 ),
prove_this_56,
[final] ).
cnf(i_0_123,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c9 ),
prove_this_26,
[final] ).
cnf(i_0_124,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c5) = sk_c11 ),
prove_this_54,
[final] ).
cnf(i_0_125,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c11 ),
prove_this_24,
[final] ).
cnf(i_0_126,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c4) = sk_c12 ),
prove_this_52,
[final] ).
cnf(i_0_127,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c4) = sk_c12 ),
prove_this_22,
[final] ).
cnf(i_0_128,axiom,
X1 = X1 ).
cnf(i_0_129,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_130,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_131,axiom,
( X1 != X2
| multiply(X1,X3) = multiply(X2,X3) ) ).
cnf(i_0_132,axiom,
( X1 != X2
| multiply(X3,X1) = multiply(X3,X2) ) ).
cnf(i_0_133,axiom,
( X1 != X2
| inverse(X1) = inverse(X2) ) ).
cnf(i_0_153,plain,
multiply(identity,multiply(identity,identity)) = multiply(inverse(X1),X1),
inference(scs_inference,[],[i_0_117,i_0_143,i_0_130]) ).
cnf(i_0_155,plain,
multiply(inverse(X1),X1) = multiply(identity,multiply(identity,identity)),
inference(scs_inference,[],[i_0_117,i_0_143,i_0_130,i_0_129]) ).
cnf(i_0_172,plain,
multiply(multiply(identity,identity),identity) = multiply(inverse(X1),X1),
inference(scs_inference,[],[i_0_135,i_0_143,i_0_130]) ).
cnf(i_0_174,plain,
multiply(inverse(X1),X1) = multiply(multiply(identity,identity),identity),
inference(scs_inference,[],[i_0_135,i_0_143,i_0_130,i_0_129]) ).
cnf(i_0_183,plain,
multiply(multiply(identity,multiply(identity,identity)),X1) = X1,
inference(scs_inference,[],[i_0_135,i_0_179,i_0_130]) ).
cnf(i_0_184,plain,
multiply(multiply(identity,identity),X1) = X1,
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_186,plain,
X1 = multiply(multiply(identity,multiply(identity,identity)),X1),
inference(scs_inference,[],[i_0_135,i_0_179,i_0_130,i_0_129]) ).
cnf(i_0_187,plain,
multiply(X1,X2) = multiply(multiply(identity,identity),multiply(multiply(identity,X1),X2)),
inference(scs_inference,[],[i_0_138,i_0_182,i_0_130]) ).
cnf(i_0_188,plain,
X1 = multiply(multiply(identity,identity),X1),
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_189,plain,
multiply(multiply(identity,identity),multiply(multiply(identity,X1),X2)) = multiply(X1,X2),
inference(scs_inference,[],[i_0_138,i_0_182,i_0_130,i_0_129]) ).
cnf(i_0_194,plain,
multiply(X1,X2) = multiply(multiply(identity,X1),X2),
inference(rename_variables,[],[i_0_138]) ).
cnf(i_0_197,plain,
multiply(X1,X2) = multiply(multiply(identity,X1),X2),
inference(rename_variables,[],[i_0_138]) ).
cnf(i_0_208,plain,
multiply(multiply(X1,X2),X3) = multiply(multiply(identity,X1),multiply(X2,X3)),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_216,plain,
identity = multiply(multiply(identity,identity),multiply(inverse(X1),X1)),
inference(scs_inference,[],[i_0_141,i_0_182,i_0_130]) ).
cnf(i_0_217,plain,
X1 = multiply(multiply(identity,identity),X1),
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_218,plain,
multiply(multiply(identity,identity),multiply(inverse(X1),X1)) = identity,
inference(scs_inference,[],[i_0_141,i_0_182,i_0_130,i_0_129]) ).
cnf(i_0_219,plain,
X1 = multiply(identity,multiply(multiply(identity,identity),X1)),
inference(scs_inference,[],[i_0_142,i_0_152,i_0_130]) ).
cnf(i_0_220,plain,
multiply(X1,X2) = multiply(identity,multiply(multiply(identity,X1),X2)),
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_221,plain,
multiply(identity,multiply(multiply(identity,identity),X1)) = X1,
inference(scs_inference,[],[i_0_142,i_0_152,i_0_130,i_0_129]) ).
cnf(i_0_228,plain,
multiply(identity,identity) = multiply(multiply(identity,identity),multiply(inverse(X1),X1)),
inference(scs_inference,[],[i_0_143,i_0_182,i_0_130]) ).
cnf(i_0_229,plain,
X1 = multiply(multiply(identity,identity),X1),
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_230,plain,
multiply(multiply(identity,identity),multiply(inverse(X1),X1)) = multiply(identity,identity),
inference(scs_inference,[],[i_0_143,i_0_182,i_0_130,i_0_129]) ).
cnf(i_0_231,plain,
multiply(X1,X2) = multiply(multiply(identity,multiply(identity,X1)),X2),
inference(scs_inference,[],[i_0_152,i_0_134,i_0_130]) ).
cnf(i_0_233,plain,
multiply(multiply(identity,multiply(identity,X1)),X2) = multiply(X1,X2),
inference(scs_inference,[],[i_0_152,i_0_134,i_0_130,i_0_129]) ).
cnf(i_0_265,plain,
multiply(identity,multiply(inverse(X1),X1)) = multiply(multiply(identity,identity),identity),
inference(scs_inference,[],[i_0_156,i_0_182,i_0_130]) ).
cnf(i_0_266,plain,
X1 = multiply(multiply(identity,identity),X1),
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_267,plain,
multiply(multiply(identity,identity),identity) = multiply(identity,multiply(inverse(X1),X1)),
inference(scs_inference,[],[i_0_156,i_0_182,i_0_130,i_0_129]) ).
cnf(i_0_269,plain,
multiply(X1,X2) = multiply(multiply(identity,X1),X2),
inference(rename_variables,[],[i_0_138]) ).
cnf(i_0_335,plain,
multiply(multiply(identity,identity),X1) = multiply(multiply(inverse(X2),X2),X1),
inference(scs_inference,[],[i_0_142,i_0_143,i_0_132,i_0_133,i_0_131]) ).
cnf(i_0_336,plain,
multiply(X1,multiply(X2,X3)) = multiply(X1,multiply(X2,multiply(identity,X3))),
inference(scs_inference,[],[i_0_333,i_0_132]) ).
cnf(i_0_337,plain,
inverse(multiply(X1,X2)) = inverse(multiply(X1,multiply(identity,X2))),
inference(scs_inference,[],[i_0_333,i_0_132,i_0_133]) ).
cnf(i_0_338,plain,
multiply(multiply(X1,X2),X3) = multiply(multiply(X1,multiply(identity,X2)),X3),
inference(scs_inference,[],[i_0_333,i_0_132,i_0_133,i_0_131]) ).
cnf(i_0_339,plain,
multiply(X1,inverse(X2)) = multiply(X1,inverse(multiply(identity,X2))),
inference(scs_inference,[],[i_0_334,i_0_132]) ).
cnf(i_0_340,plain,
inverse(inverse(X1)) = inverse(inverse(multiply(identity,X1))),
inference(scs_inference,[],[i_0_334,i_0_132,i_0_133]) ).
cnf(i_0_341,plain,
multiply(inverse(X1),X2) = multiply(inverse(multiply(identity,X1)),X2),
inference(scs_inference,[],[i_0_334,i_0_132,i_0_133,i_0_131]) ).
cnf(i_0_356,plain,
multiply(X1,X2) = multiply(X1,multiply(multiply(identity,identity),X2)),
inference(scs_inference,[],[i_0_182,i_0_132]) ).
cnf(i_0_357,plain,
inverse(X1) = inverse(multiply(multiply(identity,identity),X1)),
inference(scs_inference,[],[i_0_182,i_0_132,i_0_133]) ).
cnf(c_0_171,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
i_0_65 ).
cnf(c_0_172,axiom,
multiply(inverse(X1),X1) = identity,
i_0_86 ).
cnf(c_0_173,axiom,
multiply(identity,X1) = X1,
i_0_117 ).
cnf(c_0_174,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]) ).
cnf(c_0_175,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c4,sk_c12) = sk_c11 ),
i_0_85 ).
cnf(c_0_176,plain,
multiply(inverse(inverse(X1)),identity) = X1,
inference(spm,[status(thm)],[c_0_174,c_0_172]) ).
cnf(c_0_177,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_174,c_0_174]) ).
cnf(c_0_178,negated_conjecture,
( multiply(inverse(sk_c4),sk_c11) = sk_c12
| multiply(sk_c11,sk_c12) = sk_c10 ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_179,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| multiply(sk_c4,sk_c12) = sk_c11 ),
i_0_74 ).
cnf(c_0_180,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
i_0_80 ).
cnf(c_0_181,plain,
multiply(X1,identity) = X1,
inference(rw,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_182,negated_conjecture,
( multiply(sk_c11,sk_c12) != sk_c10
| multiply(X1,sk_c11) != sk_c12
| inverse(X1) != sk_c11
| multiply(sk_c12,X2) != sk_c11
| multiply(X3,sk_c12) != X2
| inverse(X3) != sk_c12
| 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 ),
i_0_64 ).
cnf(c_0_183,negated_conjecture,
( multiply(inverse(inverse(sk_c4)),sk_c12) = sk_c11
| multiply(sk_c11,sk_c12) = sk_c10 ),
inference(spm,[status(thm)],[c_0_174,c_0_178]) ).
cnf(c_0_184,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c4) = sk_c12 ),
i_0_116 ).
cnf(c_0_185,negated_conjecture,
( multiply(inverse(sk_c4),sk_c11) = sk_c12
| multiply(sk_c2,sk_c12) = sk_c3 ),
inference(spm,[status(thm)],[c_0_174,c_0_179]) ).
cnf(c_0_186,negated_conjecture,
( multiply(inverse(sk_c4),sk_c11) = sk_c12
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_180]) ).
cnf(c_0_187,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_181]),c_0_181]) ).
cnf(c_0_188,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c8) = sk_c7 ),
i_0_102 ).
cnf(c_0_189,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| inverse(sk_c8) = sk_c7 ),
i_0_101 ).
cnf(c_0_190,negated_conjecture,
( multiply(sk_c12,multiply(X1,sk_c12)) != sk_c11
| inverse(multiply(X2,inverse(X3))) != inverse(X3)
| multiply(inverse(X3),sk_c11) != sk_c12
| multiply(X2,inverse(X3)) != inverse(X2)
| multiply(sk_c11,sk_c12) != sk_c10
| multiply(X3,inverse(X3)) != sk_c12
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c12) != sk_c11
| multiply(X6,sk_c11) != sk_c12
| inverse(X4) != sk_c11
| inverse(X5) != sk_c12
| inverse(X1) != sk_c12
| inverse(X6) != sk_c11 ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_182])])]) ).
cnf(c_0_191,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c11 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_172]) ).
cnf(c_0_192,negated_conjecture,
( multiply(inverse(inverse(sk_c4)),sk_c12) = sk_c11
| multiply(sk_c2,sk_c12) = sk_c3 ),
inference(spm,[status(thm)],[c_0_174,c_0_185]) ).
cnf(c_0_193,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| inverse(sk_c4) = sk_c12 ),
i_0_113 ).
cnf(c_0_194,negated_conjecture,
( multiply(inverse(inverse(sk_c4)),sk_c12) = sk_c11
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_186]) ).
cnf(c_0_195,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c4) = sk_c12 ),
i_0_115 ).
cnf(c_0_196,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c8) = sk_c7 ),
i_0_120 ).
cnf(c_0_197,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c7) = sk_c9 ),
i_0_98 ).
cnf(c_0_198,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_199,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c8) = sk_c7 ),
i_0_121 ).
cnf(c_0_200,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| inverse(sk_c7) = sk_c9 ),
i_0_97 ).
cnf(c_0_201,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| inverse(sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_187,c_0_189]) ).
cnf(c_0_202,negated_conjecture,
( sk_c11 = identity
| multiply(sk_c12,multiply(X1,sk_c12)) != sk_c11
| inverse(multiply(X2,inverse(X3))) != inverse(X3)
| multiply(inverse(X3),sk_c11) != sk_c12
| multiply(X2,inverse(X3)) != inverse(X2)
| multiply(X3,inverse(X3)) != sk_c12
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c12) != sk_c11
| multiply(X6,sk_c11) != sk_c12
| inverse(X4) != sk_c11
| inverse(X5) != sk_c12
| inverse(X1) != sk_c12
| inverse(X6) != sk_c11 ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_203,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| sk_c11 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_172]) ).
cnf(c_0_204,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| sk_c11 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_172]) ).
cnf(c_0_205,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c7) = sk_c9 ),
i_0_118 ).
cnf(c_0_206,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_187,c_0_196]) ).
cnf(c_0_207,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_208,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c7) = sk_c9 ),
i_0_119 ).
cnf(c_0_209,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_187,c_0_199]) ).
cnf(c_0_210,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c8) = sk_c7 ),
i_0_103 ).
cnf(c_0_211,negated_conjecture,
( multiply(sk_c2,sk_c12) = sk_c3
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_212,negated_conjecture,
( sk_c11 = identity
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c11) != sk_c12
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(X2,inverse(X2)) != sk_c12
| multiply(X3,sk_c11) != sk_c10
| multiply(X4,sk_c12) != sk_c11
| multiply(X5,sk_c11) != sk_c12
| inverse(sk_c2) != sk_c12
| inverse(X3) != sk_c11
| inverse(X4) != sk_c12
| inverse(X5) != sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]) ).
cnf(c_0_213,negated_conjecture,
( inverse(sk_c2) = sk_c12
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_214,negated_conjecture,
( multiply(inverse(sk_c1),sk_c12) = sk_c11
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_174,c_0_207]) ).
cnf(c_0_215,negated_conjecture,
( inverse(sk_c1) = sk_c11
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_216,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c7) = sk_c9 ),
i_0_99 ).
cnf(c_0_217,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_187,c_0_210]) ).
cnf(c_0_218,negated_conjecture,
( multiply(inverse(sk_c2),sk_c3) = sk_c12
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_174,c_0_211]) ).
cnf(c_0_219,negated_conjecture,
( sk_c8 = sk_c9
| sk_c11 = identity
| inverse(multiply(X1,inverse(X2))) != inverse(X2)
| multiply(inverse(X2),sk_c11) != sk_c12
| multiply(X1,inverse(X2)) != inverse(X1)
| multiply(X2,inverse(X2)) != sk_c12
| multiply(X3,sk_c11) != sk_c10
| multiply(X4,sk_c12) != sk_c11
| multiply(X5,sk_c11) != sk_c12
| inverse(X3) != sk_c11
| inverse(X4) != sk_c12
| inverse(X5) != sk_c11 ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_220,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
inference(spm,[status(thm)],[c_0_174,c_0_171]) ).
cnf(c_0_221,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c11
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_222,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_223,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c12
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_218,c_0_213]) ).
cnf(c_0_224,negated_conjecture,
( sk_c11 = identity
| sk_c8 = sk_c9
| inverse(multiply(X1,sk_c12)) != sk_c12
| multiply(sk_c12,sk_c11) != sk_c12
| inverse(X1) != multiply(X1,sk_c12)
| multiply(sk_c2,sk_c12) != sk_c12
| multiply(X2,sk_c11) != sk_c10
| multiply(X3,sk_c12) != sk_c11
| multiply(X4,sk_c11) != sk_c12
| inverse(X2) != sk_c11
| inverse(X3) != sk_c12
| inverse(X4) != sk_c11 ),
inference(spm,[status(thm)],[c_0_219,c_0_213]) ).
cnf(c_0_225,negated_conjecture,
( multiply(sk_c12,X1) = X1
| sk_c8 = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_174]) ).
cnf(c_0_226,negated_conjecture,
( sk_c8 = sk_c9
| sk_c11 = sk_c12 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_227,plain,
multiply(inverse(identity),X1) = X1,
inference(spm,[status(thm)],[c_0_174,c_0_173]) ).
cnf(c_0_228,negated_conjecture,
( sk_c8 = sk_c9
| sk_c11 = identity
| inverse(multiply(X1,sk_c12)) != sk_c12
| inverse(X1) != multiply(X1,sk_c12)
| multiply(sk_c2,sk_c12) != sk_c12
| multiply(X2,sk_c11) != sk_c10
| multiply(X3,sk_c12) != sk_c11
| multiply(X4,sk_c11) != sk_c12
| inverse(X2) != sk_c11
| inverse(X3) != sk_c12
| inverse(X4) != sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]) ).
cnf(c_0_229,negated_conjecture,
( sk_c8 = sk_c9
| sk_c3 = sk_c12 ),
inference(spm,[status(thm)],[c_0_223,c_0_225]) ).
cnf(c_0_230,plain,
multiply(inverse(inverse(identity)),X1) = X1,
inference(spm,[status(thm)],[c_0_174,c_0_227]) ).
cnf(c_0_231,negated_conjecture,
( sk_c11 = identity
| sk_c8 = sk_c9
| inverse(multiply(X1,sk_c12)) != sk_c12
| inverse(X1) != multiply(X1,sk_c12)
| multiply(X2,sk_c11) != sk_c10
| multiply(X3,sk_c12) != sk_c11
| multiply(X4,sk_c11) != sk_c12
| inverse(X2) != sk_c11
| inverse(X3) != sk_c12
| inverse(X4) != sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_203]),c_0_229]) ).
cnf(c_0_232,plain,
inverse(identity) = identity,
inference(spm,[status(thm)],[c_0_172,c_0_230]) ).
cnf(c_0_233,negated_conjecture,
( sk_c8 = sk_c9
| sk_c12 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_221]),c_0_172]) ).
cnf(c_0_234,negated_conjecture,
( sk_c8 = sk_c9
| sk_c11 = identity
| multiply(X1,sk_c11) != sk_c10
| multiply(X2,sk_c12) != sk_c11
| multiply(X3,sk_c11) != sk_c12
| inverse(X1) != sk_c11
| inverse(X2) != sk_c12
| inverse(X3) != sk_c11 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_172]),c_0_232]),c_0_187])]),c_0_233]) ).
cnf(c_0_235,negated_conjecture,
( multiply(inverse(sk_c12),sk_c11) = sk_c3
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_174,c_0_222]) ).
cnf(c_0_236,negated_conjecture,
( inverse(sk_c12) = sk_c2
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_187,c_0_213]) ).
cnf(c_0_237,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
i_0_78 ).
cnf(c_0_238,negated_conjecture,
( sk_c11 = identity
| sk_c8 = sk_c9
| multiply(X1,multiply(X2,sk_c11)) != sk_c10
| inverse(multiply(X1,X2)) != sk_c11
| multiply(X3,sk_c12) != sk_c11
| multiply(X4,sk_c11) != sk_c12
| inverse(X3) != sk_c12
| inverse(X4) != sk_c11 ),
inference(spm,[status(thm)],[c_0_234,c_0_171]) ).
cnf(c_0_239,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c3
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_240,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c8) = sk_c7 ),
i_0_104 ).
cnf(c_0_241,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c7 ),
i_0_76 ).
cnf(c_0_242,negated_conjecture,
( multiply(inverse(sk_c6),sk_c12) = sk_c9
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_237]) ).
cnf(c_0_243,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c6) = sk_c9 ),
i_0_107 ).
cnf(c_0_244,negated_conjecture,
( sk_c8 = sk_c9
| sk_c11 = identity
| inverse(multiply(X1,sk_c2)) != sk_c11
| multiply(X1,sk_c3) != sk_c10
| multiply(X2,sk_c12) != sk_c11
| multiply(X3,sk_c11) != sk_c12
| inverse(X2) != sk_c12
| inverse(X3) != sk_c11 ),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_245,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c7) = sk_c9 ),
i_0_100 ).
cnf(c_0_246,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_187,c_0_240]) ).
cnf(c_0_247,negated_conjecture,
( multiply(sk_c8,multiply(sk_c9,X1)) = multiply(sk_c7,X1)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_171,c_0_241]) ).
cnf(c_0_248,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c9,sk_c12) = sk_c9 ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_249,negated_conjecture,
( sk_c11 = identity
| sk_c8 = sk_c9
| multiply(sk_c12,sk_c3) != sk_c10
| multiply(X1,sk_c12) != sk_c11
| multiply(X2,sk_c11) != sk_c12
| inverse(sk_c2) != sk_c11
| inverse(X1) != sk_c12
| inverse(X2) != sk_c11 ),
inference(spm,[status(thm)],[c_0_244,c_0_225]) ).
cnf(c_0_250,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_251,negated_conjecture,
( multiply(sk_c8,sk_c9) = multiply(sk_c7,sk_c12)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_252,negated_conjecture,
( multiply(inverse(sk_c8),sk_c7) = sk_c9
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_241]) ).
cnf(c_0_253,negated_conjecture,
( sk_c8 = sk_c9
| sk_c11 = identity
| multiply(sk_c12,sk_c3) != sk_c10
| multiply(X1,sk_c12) != sk_c11
| multiply(X2,sk_c11) != sk_c12
| inverse(X1) != sk_c12
| inverse(X2) != sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_213]),c_0_226]) ).
cnf(c_0_254,negated_conjecture,
( sk_c8 = sk_c9
| sk_c10 = sk_c11 ),
inference(spm,[status(thm)],[c_0_250,c_0_221]) ).
cnf(c_0_255,negated_conjecture,
( multiply(sk_c9,multiply(sk_c7,X1)) = X1
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_216]) ).
cnf(c_0_256,negated_conjecture,
( multiply(sk_c7,sk_c12) = sk_c7
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_241,c_0_251]) ).
cnf(c_0_257,negated_conjecture,
( multiply(inverse(sk_c8),multiply(sk_c7,X1)) = multiply(sk_c9,X1)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_171,c_0_252]) ).
cnf(c_0_258,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c7,sk_c8) = identity ),
inference(spm,[status(thm)],[c_0_172,c_0_210]) ).
cnf(c_0_259,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c7,sk_c7) = sk_c9 ),
inference(spm,[status(thm)],[c_0_252,c_0_210]) ).
cnf(c_0_260,negated_conjecture,
( sk_c11 = identity
| sk_c8 = sk_c9
| multiply(X1,sk_c12) != sk_c11
| multiply(X2,sk_c11) != sk_c12
| inverse(X1) != sk_c12
| inverse(X2) != sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_204]),c_0_254]) ).
cnf(c_0_261,negated_conjecture,
( multiply(sk_c3,X1) = X1
| sk_c8 = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_223]),c_0_174]) ).
cnf(c_0_262,plain,
multiply(X1,inverse(X1)) = identity,
inference(spm,[status(thm)],[c_0_172,c_0_187]) ).
cnf(c_0_263,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
i_0_77 ).
cnf(c_0_264,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c9,sk_c7) = sk_c12 ),
inference(spm,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_265,negated_conjecture,
( inverse(sk_c8) = multiply(sk_c9,sk_c8)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_181]) ).
cnf(c_0_266,negated_conjecture,
( multiply(inverse(sk_c7),sk_c9) = sk_c7
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_259]) ).
cnf(c_0_267,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c5) = sk_c11 ),
i_0_111 ).
cnf(c_0_268,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c7 ),
i_0_92 ).
cnf(c_0_269,negated_conjecture,
( sk_c8 = sk_c9
| sk_c11 = identity
| multiply(X1,sk_c11) != sk_c12
| inverse(sk_c3) != sk_c12
| inverse(X1) != sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_226]) ).
cnf(c_0_270,negated_conjecture,
( inverse(sk_c3) = identity
| sk_c8 = sk_c9 ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_271,negated_conjecture,
( multiply(sk_c8,sk_c12) = multiply(sk_c7,sk_c11)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_247,c_0_263]) ).
cnf(c_0_272,negated_conjecture,
( multiply(sk_c8,sk_c12) = multiply(sk_c7,sk_c7)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_247,c_0_264]) ).
cnf(c_0_273,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_210,c_0_265]) ).
cnf(c_0_274,negated_conjecture,
( multiply(inverse(sk_c9),sk_c12) = sk_c11
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_263]) ).
cnf(c_0_275,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c9) = sk_c6 ),
inference(spm,[status(thm)],[c_0_187,c_0_243]) ).
cnf(c_0_276,negated_conjecture,
( multiply(sk_c6,multiply(sk_c9,X1)) = multiply(sk_c12,X1)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_171,c_0_237]) ).
cnf(c_0_277,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c9,sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_266,c_0_216]) ).
cnf(c_0_278,negated_conjecture,
( multiply(inverse(sk_c4),multiply(sk_c11,X1)) = multiply(sk_c12,X1)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_171,c_0_186]) ).
cnf(c_0_279,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c11,sk_c5) = identity ),
inference(spm,[status(thm)],[c_0_172,c_0_267]) ).
cnf(c_0_280,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c11,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_172,c_0_268]) ).
cnf(c_0_281,negated_conjecture,
( sk_c11 = identity
| sk_c8 = sk_c9
| multiply(X1,sk_c11) != sk_c12
| inverse(X1) != sk_c11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_233]) ).
cnf(c_0_282,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c9 ),
i_0_123 ).
cnf(c_0_283,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
i_0_94 ).
cnf(c_0_284,negated_conjecture,
( multiply(inverse(sk_c6),multiply(sk_c12,X1)) = multiply(sk_c9,X1)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_171,c_0_242]) ).
cnf(c_0_285,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c12,sk_c4) = identity ),
inference(spm,[status(thm)],[c_0_172,c_0_195]) ).
cnf(c_0_286,negated_conjecture,
( multiply(sk_c7,sk_c7) = multiply(sk_c7,sk_c11)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_287,negated_conjecture,
( multiply(inverse(sk_c9),sk_c7) = sk_c8
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_273]) ).
cnf(c_0_288,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c9) = sk_c7 ),
inference(spm,[status(thm)],[c_0_187,c_0_216]) ).
cnf(c_0_289,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c6,sk_c12) = sk_c11 ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_290,negated_conjecture,
( multiply(sk_c6,sk_c12) = multiply(sk_c12,sk_c7)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_276,c_0_264]) ).
cnf(c_0_291,negated_conjecture,
( multiply(inverse(sk_c9),sk_c7) = sk_c9
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_277]) ).
cnf(c_0_292,negated_conjecture,
( inverse(sk_c4) = multiply(sk_c12,sk_c5)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_181]) ).
cnf(c_0_293,negated_conjecture,
( multiply(sk_c9,multiply(sk_c11,X1)) = multiply(sk_c12,X1)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_171,c_0_263]) ).
cnf(c_0_294,negated_conjecture,
( multiply(inverse(sk_c8),sk_c7) = sk_c9
| multiply(sk_c11,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_174,c_0_280]) ).
cnf(c_0_295,negated_conjecture,
( sk_c8 = sk_c9
| sk_c11 = identity ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_172]),c_0_187])]),c_0_233]) ).
cnf(c_0_296,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c9) = sk_c6 ),
inference(spm,[status(thm)],[c_0_187,c_0_282]) ).
cnf(c_0_297,negated_conjecture,
( multiply(sk_c6,sk_c9) = sk_c12
| multiply(sk_c11,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_172,c_0_283]) ).
cnf(c_0_298,negated_conjecture,
( inverse(sk_c6) = multiply(sk_c9,sk_c4)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_181]) ).
cnf(c_0_299,negated_conjecture,
( multiply(sk_c7,sk_c11) = sk_c9
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_259,c_0_286]) ).
cnf(c_0_300,negated_conjecture,
( multiply(inverse(sk_c9),multiply(sk_c12,X1)) = multiply(sk_c11,X1)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_171,c_0_274]) ).
cnf(c_0_301,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c7,sk_c7) = sk_c8 ),
inference(spm,[status(thm)],[c_0_287,c_0_288]) ).
cnf(c_0_302,negated_conjecture,
( multiply(sk_c12,sk_c7) = sk_c11
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_303,negated_conjecture,
( multiply(inverse(sk_c9),multiply(sk_c7,X1)) = multiply(sk_c9,X1)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_171,c_0_291]) ).
cnf(c_0_304,negated_conjecture,
( inverse(multiply(sk_c12,sk_c5)) = sk_c4
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_187,c_0_292]) ).
cnf(c_0_305,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c12,sk_c5) = sk_c9 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_279]),c_0_181]) ).
cnf(c_0_306,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
i_0_75 ).
cnf(c_0_307,negated_conjecture,
( multiply(inverse(sk_c9),sk_c7) = sk_c9
| multiply(sk_c11,sk_c1) = identity
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_308,negated_conjecture,
( multiply(sk_c11,sk_c1) = identity
| inverse(sk_c9) = sk_c6 ),
inference(spm,[status(thm)],[c_0_172,c_0_296]) ).
cnf(c_0_309,negated_conjecture,
( multiply(sk_c6,multiply(sk_c9,X1)) = multiply(sk_c12,X1)
| multiply(sk_c11,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_171,c_0_297]) ).
cnf(c_0_310,negated_conjecture,
( multiply(sk_c11,sk_c1) = identity
| multiply(sk_c9,sk_c9) = sk_c7
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_280,c_0_295]) ).
cnf(c_0_311,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
i_0_79 ).
cnf(c_0_312,negated_conjecture,
( multiply(sk_c9,sk_c4) = sk_c9
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_243,c_0_298]) ).
cnf(c_0_313,negated_conjecture,
( multiply(inverse(sk_c7),sk_c9) = sk_c11
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_299]) ).
cnf(c_0_314,negated_conjecture,
( inverse(sk_c9) = multiply(sk_c11,sk_c4)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_285]),c_0_181]) ).
cnf(c_0_315,negated_conjecture,
( multiply(sk_c7,sk_c11) = sk_c8
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_301,c_0_286]) ).
cnf(c_0_316,negated_conjecture,
( multiply(inverse(sk_c12),sk_c11) = sk_c7
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_302]) ).
cnf(c_0_317,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c12) = sk_c4 ),
inference(spm,[status(thm)],[c_0_187,c_0_195]) ).
cnf(c_0_318,negated_conjecture,
( inverse(sk_c9) = multiply(sk_c9,sk_c8)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_258]),c_0_181]) ).
cnf(c_0_319,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c9) = sk_c4 ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_320,negated_conjecture,
( multiply(inverse(sk_c4),sk_c11) = sk_c12
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_174,c_0_306]) ).
cnf(c_0_321,negated_conjecture,
( multiply(sk_c11,sk_c1) = identity
| multiply(sk_c6,sk_c7) = sk_c9
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
cnf(c_0_322,negated_conjecture,
( multiply(sk_c6,sk_c7) = multiply(sk_c12,sk_c9)
| multiply(sk_c11,sk_c1) = identity
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_323,negated_conjecture,
( multiply(inverse(sk_c5),sk_c10) = sk_c11
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_311]) ).
cnf(c_0_324,negated_conjecture,
( multiply(sk_c8,sk_c9) = multiply(sk_c7,sk_c4)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_247,c_0_312]) ).
cnf(c_0_325,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c11 ),
inference(spm,[status(thm)],[c_0_313,c_0_217]) ).
cnf(c_0_326,negated_conjecture,
( multiply(sk_c11,sk_c4) = sk_c6
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_275,c_0_314]) ).
cnf(c_0_327,negated_conjecture,
( inverse(multiply(sk_c9,sk_c8)) = sk_c8
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_187,c_0_265]) ).
cnf(c_0_328,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c9,sk_c8) = sk_c11 ),
inference(spm,[status(thm)],[c_0_255,c_0_315]) ).
cnf(c_0_329,negated_conjecture,
( multiply(inverse(sk_c7),multiply(sk_c9,X1)) = multiply(sk_c7,X1)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_171,c_0_266]) ).
cnf(c_0_330,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c9,sk_c7) = identity ),
inference(spm,[status(thm)],[c_0_172,c_0_216]) ).
cnf(c_0_331,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c4,sk_c11) = sk_c7 ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_332,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c9,sk_c8) = sk_c4 ),
inference(spm,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_333,negated_conjecture,
( multiply(inverse(inverse(sk_c4)),sk_c12) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_174,c_0_320]) ).
cnf(c_0_334,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c4) = sk_c12 ),
i_0_114 ).
cnf(c_0_335,negated_conjecture,
( multiply(sk_c12,sk_c9) = sk_c9
| multiply(sk_c11,sk_c1) = identity
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_336,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_323,c_0_267]) ).
cnf(c_0_337,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c7,sk_c4) = sk_c11 ),
inference(spm,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_338,negated_conjecture,
( multiply(inverse(sk_c11),sk_c6) = sk_c4
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_326]) ).
cnf(c_0_339,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c11) = sk_c8 ),
inference(spm,[status(thm)],[c_0_327,c_0_328]) ).
cnf(c_0_340,negated_conjecture,
( inverse(sk_c7) = multiply(sk_c7,sk_c7)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_181]) ).
cnf(c_0_341,negated_conjecture,
( multiply(inverse(sk_c4),sk_c7) = sk_c11
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_331]) ).
cnf(c_0_342,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c4) = sk_c8 ),
inference(spm,[status(thm)],[c_0_327,c_0_332]) ).
cnf(c_0_343,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| sk_c11 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_172]) ).
cnf(c_0_344,negated_conjecture,
( multiply(sk_c12,sk_c9) = sk_c9
| inverse(sk_c11) = sk_c1
| sk_c11 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_335]),c_0_181]) ).
cnf(c_0_345,negated_conjecture,
( multiply(sk_c9,sk_c11) = multiply(sk_c12,sk_c10)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_293,c_0_336]) ).
cnf(c_0_346,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c4 ),
inference(spm,[status(thm)],[c_0_255,c_0_337]) ).
cnf(c_0_347,negated_conjecture,
( multiply(sk_c7,multiply(sk_c8,X1)) = X1
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_210]) ).
cnf(c_0_348,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c8,sk_c6) = sk_c4 ),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_349,negated_conjecture,
( inverse(multiply(sk_c7,sk_c7)) = sk_c7
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_187,c_0_340]) ).
cnf(c_0_350,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c8,sk_c7) = sk_c11 ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_351,negated_conjecture,
( multiply(inverse(sk_c1),sk_c12) = sk_c11
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_174,c_0_343]) ).
cnf(c_0_352,negated_conjecture,
( multiply(sk_c12,sk_c9) = sk_c9
| inverse(sk_c1) = sk_c11
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_187,c_0_344]) ).
cnf(c_0_353,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c12,sk_c10) = sk_c4 ),
inference(spm,[status(thm)],[c_0_345,c_0_346]) ).
cnf(c_0_354,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c9,sk_c6) = identity ),
inference(spm,[status(thm)],[c_0_172,c_0_243]) ).
cnf(c_0_355,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c7,sk_c4) = sk_c6 ),
inference(spm,[status(thm)],[c_0_347,c_0_348]) ).
cnf(c_0_356,negated_conjecture,
( inverse(multiply(sk_c7,sk_c11)) = sk_c7
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_349,c_0_286]) ).
cnf(c_0_357,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c7,sk_c11) = sk_c7 ),
inference(spm,[status(thm)],[c_0_347,c_0_350]) ).
cnf(c_0_358,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c11 ),
i_0_125 ).
cnf(c_0_359,negated_conjecture,
( multiply(sk_c12,sk_c9) = sk_c9
| multiply(sk_c11,sk_c12) = sk_c11
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_351,c_0_352]) ).
cnf(c_0_360,negated_conjecture,
( multiply(inverse(sk_c12),sk_c4) = sk_c10
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_353]) ).
cnf(c_0_361,negated_conjecture,
( inverse(sk_c7) = multiply(sk_c7,sk_c6)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_354]),c_0_181]) ).
cnf(c_0_362,negated_conjecture,
( multiply(inverse(sk_c7),sk_c6) = sk_c4
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_355]) ).
cnf(c_0_363,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c7) = sk_c7 ),
inference(spm,[status(thm)],[c_0_356,c_0_357]) ).
cnf(c_0_364,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c11) = sk_c5 ),
inference(spm,[status(thm)],[c_0_187,c_0_358]) ).
cnf(c_0_365,negated_conjecture,
( multiply(sk_c12,sk_c9) = sk_c9
| multiply(sk_c12,X1) = X1
| sk_c11 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_359]),c_0_174]) ).
cnf(c_0_366,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c4,sk_c4) = sk_c10 ),
inference(spm,[status(thm)],[c_0_360,c_0_317]) ).
cnf(c_0_367,negated_conjecture,
( inverse(multiply(sk_c7,sk_c6)) = sk_c7
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_187,c_0_361]) ).
cnf(c_0_368,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c7,sk_c6) = sk_c4 ),
inference(spm,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_369,negated_conjecture,
( inverse(sk_c11) = sk_c5
| inverse(sk_c11) = sk_c1 ),
inference(spm,[status(thm)],[c_0_187,c_0_364]) ).
cnf(c_0_370,negated_conjecture,
( multiply(sk_c12,sk_c9) = sk_c9
| sk_c11 = identity ),
inference(ef,[status(thm)],[c_0_365]) ).
cnf(c_0_371,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c12 ),
i_0_83 ).
cnf(c_0_372,negated_conjecture,
( multiply(inverse(sk_c4),sk_c10) = sk_c4
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_366]) ).
cnf(c_0_373,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c4) = sk_c7 ),
inference(spm,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_374,negated_conjecture,
( inverse(sk_c11) = sk_c1
| sk_c5 != sk_c1 ),
inference(ef,[status(thm)],[c_0_369]) ).
cnf(c_0_375,negated_conjecture,
( multiply(sk_c12,multiply(sk_c9,X1)) = multiply(sk_c9,X1)
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_171,c_0_370]) ).
cnf(c_0_376,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
i_0_95 ).
cnf(c_0_377,negated_conjecture,
( multiply(inverse(sk_c6),sk_c12) = sk_c9
| multiply(sk_c11,sk_c12) = sk_c10 ),
inference(spm,[status(thm)],[c_0_174,c_0_371]) ).
cnf(c_0_378,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c6) = sk_c9 ),
i_0_108 ).
cnf(c_0_379,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c5,sk_c11) = sk_c10 ),
i_0_73 ).
cnf(c_0_380,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c7,sk_c10) = sk_c4 ),
inference(spm,[status(thm)],[c_0_372,c_0_373]) ).
cnf(c_0_381,negated_conjecture,
( multiply(sk_c1,sk_c11) = identity
| sk_c5 != sk_c1 ),
inference(spm,[status(thm)],[c_0_172,c_0_374]) ).
cnf(c_0_382,negated_conjecture,
( sk_c11 = identity
| sk_c12 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_262]),c_0_181]) ).
cnf(c_0_383,negated_conjecture,
( multiply(sk_c5,sk_c11) = sk_c10
| multiply(sk_c11,sk_c1) = identity ),
inference(spm,[status(thm)],[c_0_172,c_0_376]) ).
cnf(c_0_384,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c9,sk_c12) = sk_c9 ),
inference(spm,[status(thm)],[c_0_377,c_0_378]) ).
cnf(c_0_385,negated_conjecture,
( multiply(inverse(sk_c5),sk_c10) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_174,c_0_379]) ).
cnf(c_0_386,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c5) = sk_c11 ),
i_0_110 ).
cnf(c_0_387,negated_conjecture,
( inverse(multiply(sk_c9,sk_c4)) = sk_c6
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_187,c_0_298]) ).
cnf(c_0_388,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c9,sk_c4) = sk_c10 ),
inference(spm,[status(thm)],[c_0_255,c_0_380]) ).
cnf(c_0_389,negated_conjecture,
( sk_c12 = identity
| sk_c1 = identity
| sk_c5 != sk_c1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_382]),c_0_181]) ).
cnf(c_0_390,negated_conjecture,
( sk_c12 = identity
| sk_c1 = identity
| sk_c5 = sk_c10 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_382]),c_0_181]),c_0_173]) ).
cnf(c_0_391,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c12 = identity ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_384]),c_0_172]) ).
cnf(c_0_392,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_385,c_0_386]) ).
cnf(c_0_393,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c10) = sk_c6 ),
inference(spm,[status(thm)],[c_0_387,c_0_388]) ).
cnf(c_0_394,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10 ),
i_0_84 ).
cnf(c_0_395,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c4) = sk_c12 ),
i_0_126 ).
cnf(c_0_396,negated_conjecture,
( sk_c1 = identity
| sk_c12 = identity
| sk_c10 != sk_c1 ),
inference(spm,[status(thm)],[c_0_389,c_0_390]) ).
cnf(c_0_397,negated_conjecture,
( sk_c12 = identity
| sk_c10 = sk_c12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_382]),c_0_173]) ).
cnf(c_0_398,negated_conjecture,
( sk_c12 = identity
| sk_c10 = identity
| sk_c1 = sk_c12 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_382]),c_0_181]),c_0_173]) ).
cnf(c_0_399,negated_conjecture,
( inverse(sk_c2) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
i_0_91 ).
cnf(c_0_400,negated_conjecture,
( multiply(sk_c12,sk_c10) = sk_c12
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_263,c_0_345]) ).
cnf(c_0_401,negated_conjecture,
( multiply(inverse(sk_c6),sk_c11) = sk_c12
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_174,c_0_289]) ).
cnf(c_0_402,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| inverse(sk_c6) = sk_c10 ),
inference(spm,[status(thm)],[c_0_187,c_0_393]) ).
cnf(c_0_403,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c9,sk_c11) = sk_c12 ),
i_0_82 ).
cnf(c_0_404,negated_conjecture,
( multiply(inverse(sk_c5),sk_c10) = sk_c11
| multiply(sk_c11,sk_c12) = sk_c10 ),
inference(spm,[status(thm)],[c_0_174,c_0_394]) ).
cnf(c_0_405,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c5) = sk_c11 ),
i_0_112 ).
cnf(c_0_406,negated_conjecture,
( inverse(sk_c2) = sk_c12
| inverse(sk_c12) = sk_c4 ),
inference(spm,[status(thm)],[c_0_187,c_0_395]) ).
cnf(c_0_407,negated_conjecture,
( sk_c12 = identity
| sk_c1 = identity
| sk_c1 != sk_c12 ),
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_408,negated_conjecture,
( sk_c1 = sk_c12
| sk_c12 = identity ),
inference(spm,[status(thm)],[c_0_397,c_0_398]) ).
cnf(c_0_409,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| inverse(sk_c12) = sk_c2 ),
inference(spm,[status(thm)],[c_0_187,c_0_399]) ).
cnf(c_0_410,negated_conjecture,
( multiply(sk_c12,multiply(sk_c10,X1)) = multiply(sk_c12,X1)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_171,c_0_400]) ).
cnf(c_0_411,negated_conjecture,
( multiply(sk_c12,sk_c3) = sk_c11
| multiply(sk_c10,sk_c11) = sk_c12 ),
inference(spm,[status(thm)],[c_0_401,c_0_402]) ).
cnf(c_0_412,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_171,c_0_403]) ).
cnf(c_0_413,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c11,sk_c10) = sk_c11 ),
inference(spm,[status(thm)],[c_0_404,c_0_405]) ).
cnf(c_0_414,negated_conjecture,
( multiply(sk_c2,sk_c12) = identity
| inverse(sk_c12) = sk_c4 ),
inference(spm,[status(thm)],[c_0_262,c_0_406]) ).
cnf(c_0_415,negated_conjecture,
sk_c12 = identity,
inference(spm,[status(thm)],[c_0_407,c_0_408]) ).
cnf(c_0_416,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c11
| multiply(sk_c2,sk_c12) = identity ),
inference(spm,[status(thm)],[c_0_172,c_0_409]) ).
cnf(c_0_417,negated_conjecture,
( multiply(sk_c12,sk_c11) = multiply(sk_c12,sk_c12)
| multiply(sk_c12,sk_c3) = sk_c11 ),
inference(spm,[status(thm)],[c_0_410,c_0_411]) ).
cnf(c_0_418,negated_conjecture,
( multiply(sk_c9,sk_c11) = multiply(sk_c12,sk_c10)
| multiply(sk_c11,sk_c12) = sk_c10 ),
inference(spm,[status(thm)],[c_0_412,c_0_413]) ).
cnf(c_0_419,negated_conjecture,
( sk_c4 = identity
| sk_c2 = identity ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_414,c_0_415]),c_0_181]),c_0_415]),c_0_232]) ).
cnf(c_0_420,negated_conjecture,
( sk_c2 = identity
| sk_c4 = sk_c11 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_416,c_0_415]),c_0_181]),c_0_415]),c_0_181]) ).
cnf(c_0_421,negated_conjecture,
( sk_c3 = sk_c11
| sk_c11 = identity ),
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_417,c_0_415]),c_0_173]),c_0_415]),c_0_415]),c_0_173]),c_0_415]),c_0_173]) ).
cnf(c_0_422,negated_conjecture,
( sk_c11 = identity
| sk_c3 = sk_c2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_415]),c_0_181]) ).
cnf(c_0_423,negated_conjecture,
( multiply(sk_c12,sk_c10) = sk_c12
| multiply(sk_c11,sk_c12) = sk_c10 ),
inference(spm,[status(thm)],[c_0_403,c_0_418]) ).
cnf(c_0_424,negated_conjecture,
( sk_c2 = identity
| sk_c11 = identity ),
inference(spm,[status(thm)],[c_0_419,c_0_420]) ).
cnf(c_0_425,negated_conjecture,
( sk_c11 = identity
| sk_c2 = sk_c11 ),
inference(spm,[status(thm)],[c_0_421,c_0_422]) ).
cnf(c_0_426,negated_conjecture,
( sk_c10 = sk_c11
| sk_c10 = identity ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_423,c_0_415]),c_0_173]),c_0_415]),c_0_415]),c_0_181]) ).
cnf(c_0_427,negated_conjecture,
sk_c11 = identity,
inference(spm,[status(thm)],[c_0_424,c_0_425]) ).
cnf(c_0_428,negated_conjecture,
( multiply(sk_c12,multiply(X1,sk_c12)) != sk_c11
| inverse(multiply(X2,inverse(X3))) != inverse(X3)
| multiply(inverse(X3),sk_c11) != sk_c12
| multiply(X2,inverse(X3)) != inverse(X2)
| multiply(sk_c11,sk_c12) != sk_c10
| multiply(X4,sk_c11) != sk_c10
| multiply(X5,sk_c12) != sk_c11
| multiply(X6,sk_c11) != sk_c12
| inverse(X4) != sk_c11
| inverse(X5) != sk_c12
| inverse(X1) != sk_c12
| inverse(X6) != sk_c11
| sk_c12 != identity ),
inference(rw,[status(thm)],[c_0_190,c_0_262]) ).
cnf(c_0_429,negated_conjecture,
sk_c10 = identity,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_426,c_0_427])]) ).
cnf(c_0_430,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(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)],[c_0_428,c_0_415]),c_0_415]),c_0_181]),c_0_173]),c_0_415]),c_0_415]),c_0_181]),c_0_415]),c_0_181]),c_0_415]),c_0_415]),c_0_415]),c_0_415])])])]),c_0_427]),c_0_181]),c_0_429]),c_0_427]),c_0_427]),c_0_181]),c_0_429]),c_0_427]),c_0_181]),c_0_427]),c_0_427]),c_0_232]),c_0_427])])])]),c_0_232])]) ).
cnf(c_0_431,negated_conjecture,
( inverse(sk_c4) = identity
| inverse(sk_c2) = identity ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_395,c_0_415]),c_0_415]) ).
cnf(c_0_432,negated_conjecture,
inverse(X1) != identity,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_172]),c_0_232]),c_0_187])]) ).
cnf(c_0_433,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_431,c_0_432]),c_0_432]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP318-1 : 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
% 0.15/0.33 % Computer : n011.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:31:32 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 202.92/130.58 % Version : CSE_E---1.7
% 202.92/130.58 % Problem : theBenchmark.p
% 202.92/130.58 % SZS status Unsatisfiable for theBenchmark.p
% 202.92/130.58 % SZS output start CNFRefutation
% See solution above
% 203.21/130.83 % Total time : 128.240s
%------------------------------------------------------------------------------