%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP340-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 : Fri May  3 02:22:15 EDT 2024

% Result   : Unsatisfiable 88.49s 12.73s
% Output   : CNFRefutation 88.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   53
%            Number of leaves      :   42
% Syntax   : Number of clauses     :  649 ( 152 unt; 204 nHn; 530 RR)
%            Number of literals    : 1517 (1373 equ; 676 neg)
%            Maximal clause size   :   15 (   2 avg)
%            Maximal term depth    :    9 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   6 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-2 aty)
%            Number of variables   :  468 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | multiply(sk_c3,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_50,negated_conjecture,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | inverse(sk_c3) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

cnf(c_51,negated_conjecture,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | multiply(sk_c4,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,negated_conjecture,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | inverse(sk_c4) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | multiply(sk_c5,sk_c8) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_54,negated_conjecture,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_59,negated_conjecture,
    ( multiply(sk_c3,sk_c11) = sk_c10
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( inverse(sk_c3) = sk_c11
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,negated_conjecture,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

cnf(c_62,negated_conjecture,
    ( inverse(sk_c4) = sk_c10
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c11
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( inverse(sk_c5) = sk_c8
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c8,sk_c10) = sk_c11
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c3,sk_c11) = sk_c10
    | multiply(sk_c1,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( multiply(sk_c1,sk_c10) = sk_c11
    | inverse(sk_c3) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_71,negated_conjecture,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | multiply(sk_c1,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

cnf(c_72,negated_conjecture,
    ( multiply(sk_c1,sk_c10) = sk_c11
    | inverse(sk_c4) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c11
    | multiply(sk_c1,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( multiply(sk_c1,sk_c10) = sk_c11
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_79,negated_conjecture,
    ( multiply(sk_c3,sk_c11) = sk_c10
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(c_80,negated_conjecture,
    ( inverse(sk_c3) = sk_c11
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

cnf(c_81,negated_conjecture,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

cnf(c_82,negated_conjecture,
    ( inverse(sk_c4) = sk_c10
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

cnf(c_83,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c11
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

cnf(c_84,negated_conjecture,
    ( inverse(sk_c5) = sk_c8
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

cnf(c_86,negated_conjecture,
    ( inverse(sk_c7) = sk_c6
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).

cnf(c_87,negated_conjecture,
    ( inverse(sk_c6) = sk_c8
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).

cnf(c_89,negated_conjecture,
    ( multiply(sk_c3,sk_c11) = sk_c10
    | multiply(sk_c2,sk_c9) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).

cnf(c_90,negated_conjecture,
    ( multiply(sk_c2,sk_c9) = sk_c10
    | inverse(sk_c3) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).

cnf(c_91,negated_conjecture,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | multiply(sk_c2,sk_c9) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).

cnf(c_92,negated_conjecture,
    ( multiply(sk_c2,sk_c9) = sk_c10
    | inverse(sk_c4) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).

cnf(c_93,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c11
    | multiply(sk_c2,sk_c9) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).

cnf(c_94,negated_conjecture,
    ( multiply(sk_c2,sk_c9) = sk_c10
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).

cnf(c_95,negated_conjecture,
    ( multiply(sk_c8,sk_c10) = sk_c11
    | multiply(sk_c2,sk_c9) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).

cnf(c_99,negated_conjecture,
    ( multiply(X0,X1) != sk_c11
    | multiply(X2,X1) != X3
    | multiply(X1,sk_c10) != sk_c11
    | multiply(X4,sk_c10) != sk_c11
    | multiply(X5,sk_c9) != sk_c10
    | multiply(X6,sk_c11) != sk_c10
    | multiply(X7,sk_c10) != sk_c9
    | multiply(sk_c10,sk_c11) != sk_c9
    | inverse(X0) != X1
    | inverse(X2) != X3
    | inverse(X3) != X1
    | inverse(X4) != sk_c11
    | inverse(X5) != sk_c10
    | inverse(X6) != sk_c11
    | inverse(X7) != sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).

cnf(c_100,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_101,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_102,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_103,negated_conjecture,
    ( inverse(multiply(X0,inverse(X1))) != inverse(X1)
    | multiply(X1,inverse(X1)) != sk_c11
    | multiply(inverse(X1),sk_c10) != sk_c11
    | multiply(X2,sk_c10) != sk_c11
    | multiply(X3,sk_c9) != sk_c10
    | multiply(X4,sk_c11) != sk_c10
    | multiply(X5,sk_c10) != sk_c9
    | multiply(sk_c10,sk_c11) != sk_c9
    | inverse(X0) != multiply(X0,inverse(X1))
    | inverse(X2) != sk_c11
    | inverse(X3) != sk_c10
    | inverse(X4) != sk_c11
    | inverse(X5) != sk_c10 ),
    inference(unflattening,[status(thm)],[c_99]) ).

cnf(c_105,plain,
    multiply(inverse(sk_c10),sk_c10) = identity,
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_568,negated_conjecture,
    ( multiply(X0,sk_c11) != sk_c10
    | inverse(X0) != sk_c11
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_103]) ).

cnf(c_569,negated_conjecture,
    ( multiply(X0,sk_c9) != sk_c10
    | inverse(X0) != sk_c10
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_103]) ).

cnf(c_570,negated_conjecture,
    ( multiply(X0,sk_c10) != sk_c9
    | inverse(X0) != sk_c10
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_103]) ).

cnf(c_571,negated_conjecture,
    ( multiply(X0,sk_c10) != sk_c11
    | inverse(X0) != sk_c11
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_103]) ).

cnf(c_572,negated_conjecture,
    ( multiply(X0,inverse(X0)) != sk_c11
    | multiply(inverse(X0),sk_c10) != sk_c11
    | inverse(X1) != multiply(X1,inverse(X0))
    | inverse(multiply(X1,inverse(X0))) != inverse(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_103]) ).

cnf(c_573,negated_conjecture,
    ( multiply(sk_c10,sk_c11) != sk_c9
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_103]) ).

cnf(c_574,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_575,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_576,plain,
    ( X0 != X1
    | X2 != X3
    | multiply(X0,X2) = multiply(X1,X3) ),
    theory(equality) ).

cnf(c_577,plain,
    ( X0 != X1
    | inverse(X0) = inverse(X1) ),
    theory(equality) ).

cnf(c_580,plain,
    sk_c10 = sk_c10,
    inference(instantiation,[status(thm)],[c_574]) ).

cnf(c_582,plain,
    ( multiply(sk_c10,sk_c9) != sk_c10
    | inverse(sk_c10) != sk_c10
    | ~ sP1_iProver_def ),
    inference(instantiation,[status(thm)],[c_569]) ).

cnf(c_585,plain,
    ( inverse(multiply(sk_c10,inverse(sk_c10))) != inverse(sk_c10)
    | multiply(inverse(sk_c10),sk_c10) != sk_c11
    | multiply(sk_c10,inverse(sk_c10)) != sk_c11
    | inverse(sk_c10) != multiply(sk_c10,inverse(sk_c10))
    | ~ sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_572]) ).

cnf(c_856,plain,
    ( multiply(sk_c10,sk_c11) != X0
    | sk_c9 != X0
    | multiply(sk_c10,sk_c11) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_857,plain,
    ( multiply(sk_c10,sk_c11) != sk_c10
    | sk_c9 != sk_c10
    | multiply(sk_c10,sk_c11) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_856]) ).

cnf(c_860,plain,
    ( multiply(sk_c10,sk_c11) != X0
    | X1 != X0
    | multiply(sk_c10,sk_c11) = X1 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_861,plain,
    ( multiply(sk_c10,sk_c11) != multiply(X0,X1)
    | sk_c9 != multiply(X0,X1)
    | multiply(sk_c10,sk_c11) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_856]) ).

cnf(c_862,plain,
    ( sk_c10 != X0
    | sk_c11 != X1
    | multiply(sk_c10,sk_c11) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_576]) ).

cnf(c_863,plain,
    ( multiply(sk_c10,sk_c11) != multiply(sk_c10,sk_c10)
    | sk_c9 != multiply(sk_c10,sk_c10)
    | multiply(sk_c10,sk_c11) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_861]) ).

cnf(c_864,plain,
    ( sk_c10 != sk_c10
    | sk_c11 != sk_c10
    | multiply(sk_c10,sk_c11) = multiply(sk_c10,sk_c10) ),
    inference(instantiation,[status(thm)],[c_862]) ).

cnf(c_875,plain,
    ( multiply(X0,X1) != X2
    | sk_c9 != X2
    | sk_c9 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_878,plain,
    sk_c11 = sk_c11,
    inference(instantiation,[status(thm)],[c_574]) ).

cnf(c_879,plain,
    ( X0 != X1
    | sk_c11 != X1
    | sk_c11 = X0 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_882,plain,
    sk_c9 = sk_c9,
    inference(instantiation,[status(thm)],[c_574]) ).

cnf(c_883,plain,
    ( X0 != X1
    | sk_c9 != X1
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_894,plain,
    ( multiply(sk_c10,sk_c11) != multiply(X0,sk_c11)
    | X1 != multiply(X0,sk_c11)
    | multiply(sk_c10,sk_c11) = X1 ),
    inference(instantiation,[status(thm)],[c_860]) ).

cnf(c_900,plain,
    ( X0 != sk_c11
    | sk_c11 != sk_c11
    | sk_c11 = X0 ),
    inference(instantiation,[status(thm)],[c_879]) ).

cnf(c_901,plain,
    ( sk_c10 != sk_c11
    | sk_c11 != sk_c11
    | sk_c11 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_900]) ).

cnf(c_908,plain,
    ( multiply(X0,sk_c11) != X1
    | X2 != X1
    | X2 = multiply(X0,sk_c11) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_910,plain,
    ( X0 != X1
    | X2 != sk_c11
    | multiply(X0,X2) = multiply(X1,sk_c11) ),
    inference(instantiation,[status(thm)],[c_576]) ).

cnf(c_915,plain,
    ( multiply(X0,X1) != sk_c9
    | sk_c9 != sk_c9
    | sk_c9 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_875]) ).

cnf(c_916,plain,
    ( multiply(sk_c10,sk_c10) != sk_c9
    | sk_c9 != sk_c9
    | sk_c9 = multiply(sk_c10,sk_c10) ),
    inference(instantiation,[status(thm)],[c_915]) ).

cnf(c_927,plain,
    ( inverse(sk_c3) != sk_c11
    | sk_c11 != sk_c11
    | sk_c11 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_900]) ).

cnf(c_930,plain,
    ( multiply(identity,sk_c11) != sk_c11
    | sk_c11 != sk_c11
    | sk_c11 = multiply(identity,sk_c11) ),
    inference(instantiation,[status(thm)],[c_900]) ).

cnf(c_931,plain,
    multiply(identity,sk_c11) = sk_c11,
    inference(instantiation,[status(thm)],[c_100]) ).

cnf(c_933,plain,
    ( X0 != X1
    | sk_c11 != X1
    | X0 = sk_c11 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_985,plain,
    ( X0 != inverse(sk_c3)
    | sk_c11 != inverse(sk_c3)
    | sk_c11 = X0 ),
    inference(instantiation,[status(thm)],[c_879]) ).

cnf(c_988,plain,
    ( sk_c10 != inverse(sk_c3)
    | sk_c11 != inverse(sk_c3)
    | sk_c11 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_985]) ).

cnf(c_992,plain,
    ( X0 != multiply(sk_c5,sk_c8)
    | sk_c11 != multiply(sk_c5,sk_c8)
    | sk_c11 = X0 ),
    inference(instantiation,[status(thm)],[c_879]) ).

cnf(c_1132,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_101,c_102]) ).

cnf(c_1220,plain,
    ( multiply(identity,sk_c9) != sk_c9
    | sk_c9 != sk_c9
    | sk_c9 = multiply(identity,sk_c9) ),
    inference(instantiation,[status(thm)],[c_915]) ).

cnf(c_1221,plain,
    multiply(identity,sk_c9) = sk_c9,
    inference(instantiation,[status(thm)],[c_100]) ).

cnf(c_1243,plain,
    ( multiply(inverse(sk_c11),sk_c11) != identity
    | X0 != identity
    | X0 = multiply(inverse(sk_c11),sk_c11) ),
    inference(instantiation,[status(thm)],[c_908]) ).

cnf(c_1244,plain,
    multiply(inverse(sk_c11),sk_c11) = identity,
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_1245,plain,
    ( multiply(inverse(sk_c11),sk_c11) != identity
    | sk_c10 != identity
    | sk_c10 = multiply(inverse(sk_c11),sk_c11) ),
    inference(instantiation,[status(thm)],[c_1243]) ).

cnf(c_1251,plain,
    ( multiply(X0,sk_c11) != X1
    | X2 != X1
    | multiply(X0,sk_c11) = X2 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_1252,plain,
    ( multiply(X0,sk_c11) != multiply(X1,X2)
    | X3 != multiply(X1,X2)
    | X3 = multiply(X0,sk_c11) ),
    inference(instantiation,[status(thm)],[c_908]) ).

cnf(c_1253,plain,
    ( X0 != X1
    | sk_c11 != X2
    | multiply(X0,sk_c11) = multiply(X1,X2) ),
    inference(instantiation,[status(thm)],[c_576]) ).

cnf(c_1280,plain,
    ( X0 != X1
    | sk_c11 != sk_c11
    | multiply(X0,sk_c11) = multiply(X1,sk_c11) ),
    inference(instantiation,[status(thm)],[c_910]) ).

cnf(c_1286,plain,
    ( multiply(sk_c10,sk_c11) != multiply(identity,sk_c11)
    | sk_c11 != multiply(identity,sk_c11)
    | multiply(sk_c10,sk_c11) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_894]) ).

cnf(c_1296,plain,
    ( X0 != X1
    | sk_c9 != X1
    | X0 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_1337,plain,
    ( X0 != multiply(sk_c3,sk_c11)
    | sk_c11 != multiply(sk_c3,sk_c11)
    | X0 = sk_c11 ),
    inference(instantiation,[status(thm)],[c_933]) ).

cnf(c_1342,plain,
    ( sk_c10 != multiply(sk_c3,sk_c11)
    | sk_c11 != multiply(sk_c3,sk_c11)
    | sk_c10 = sk_c11 ),
    inference(instantiation,[status(thm)],[c_1337]) ).

cnf(c_1385,plain,
    ( inverse(sk_c3) != X0
    | X1 != X0
    | X1 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_1436,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1132,c_100]) ).

cnf(c_1447,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_100,c_1436]) ).

cnf(c_1452,plain,
    multiply(inverse(identity),sk_c10) = sk_c10,
    inference(instantiation,[status(thm)],[c_1447]) ).

cnf(c_1465,plain,
    ( multiply(identity,multiply(sk_c5,sk_c8)) != multiply(sk_c5,sk_c8)
    | sk_c11 != multiply(sk_c5,sk_c8)
    | sk_c11 = multiply(identity,multiply(sk_c5,sk_c8)) ),
    inference(instantiation,[status(thm)],[c_992]) ).

cnf(c_1466,plain,
    multiply(identity,multiply(sk_c5,sk_c8)) = multiply(sk_c5,sk_c8),
    inference(instantiation,[status(thm)],[c_100]) ).

cnf(c_1468,plain,
    ( multiply(sk_c5,sk_c8) != X0
    | X1 != X0
    | X1 = multiply(sk_c5,sk_c8) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_1476,plain,
    ( multiply(sk_c10,sk_c11) != multiply(X0,multiply(sk_c5,sk_c8))
    | X1 != multiply(X0,multiply(sk_c5,sk_c8))
    | multiply(sk_c10,sk_c11) = X1 ),
    inference(instantiation,[status(thm)],[c_860]) ).

cnf(c_1714,plain,
    ( inverse(sk_c4) = sk_c10
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(resolution,[status(thm)],[c_573,c_52]) ).

cnf(c_1715,plain,
    ( inverse(sk_c5) = sk_c8
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(resolution,[status(thm)],[c_573,c_54]) ).

cnf(c_1837,plain,
    ( X0 != sk_c11
    | inverse(sk_c4) = sk_c10
    | inverse(sk_c1) = X0 ),
    inference(resolution,[status(thm)],[c_575,c_62]) ).

cnf(c_1844,plain,
    ( sk_c10 != sk_c11
    | inverse(sk_c4) = sk_c10
    | inverse(sk_c1) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_1837]) ).

cnf(c_1881,plain,
    ( X0 != X1
    | multiply(identity,X1) = X0 ),
    inference(resolution,[status(thm)],[c_575,c_100]) ).

cnf(c_1886,plain,
    ( X0 != X1
    | X1 = X0 ),
    inference(resolution,[status(thm)],[c_575,c_574]) ).

cnf(c_1887,plain,
    ( X0 != X1
    | X2 != inverse(X1)
    | inverse(X0) = X2 ),
    inference(resolution,[status(thm)],[c_575,c_577]) ).

cnf(c_1910,plain,
    ( multiply(sk_c10,sk_c11) != sk_c11
    | X0 != sk_c11
    | multiply(sk_c10,sk_c11) = X0 ),
    inference(instantiation,[status(thm)],[c_860]) ).

cnf(c_1911,plain,
    ( multiply(sk_c10,sk_c11) != sk_c11
    | sk_c9 != sk_c11
    | multiply(sk_c10,sk_c11) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_856]) ).

cnf(c_1912,plain,
    ( multiply(sk_c10,sk_c11) != sk_c11
    | sk_c10 != sk_c11
    | multiply(sk_c10,sk_c11) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_1910]) ).

cnf(c_2034,plain,
    ( multiply(X0,X1) != multiply(sk_c10,sk_c11)
    | sk_c9 != multiply(sk_c10,sk_c11)
    | sk_c9 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_875]) ).

cnf(c_2035,plain,
    ( multiply(sk_c10,sk_c10) != multiply(sk_c10,sk_c11)
    | sk_c9 != multiply(sk_c10,sk_c11)
    | sk_c9 = multiply(sk_c10,sk_c10) ),
    inference(instantiation,[status(thm)],[c_2034]) ).

cnf(c_2068,plain,
    identity = identity,
    inference(instantiation,[status(thm)],[c_574]) ).

cnf(c_2070,plain,
    ( X0 != X1
    | identity != X1
    | X0 = identity ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_2092,plain,
    ( X0 != identity
    | sk_c11 != sk_c11
    | multiply(X0,sk_c11) = multiply(identity,sk_c11) ),
    inference(instantiation,[status(thm)],[c_1280]) ).

cnf(c_2094,plain,
    ( sk_c10 != identity
    | sk_c11 != sk_c11
    | multiply(sk_c10,sk_c11) = multiply(identity,sk_c11) ),
    inference(instantiation,[status(thm)],[c_2092]) ).

cnf(c_2106,plain,
    ( multiply(X0,X1) != multiply(identity,sk_c9)
    | sk_c9 != multiply(identity,sk_c9)
    | sk_c9 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_875]) ).

cnf(c_2152,plain,
    ( multiply(inverse(X0),X0) != identity
    | multiply(inverse(sk_c11),sk_c11) != identity
    | multiply(inverse(X0),X0) = multiply(inverse(sk_c11),sk_c11) ),
    inference(instantiation,[status(thm)],[c_1243]) ).

cnf(c_2153,plain,
    ( multiply(inverse(sk_c10),sk_c10) != identity
    | multiply(inverse(sk_c11),sk_c11) != identity
    | multiply(inverse(sk_c10),sk_c10) = multiply(inverse(sk_c11),sk_c11) ),
    inference(instantiation,[status(thm)],[c_2152]) ).

cnf(c_2266,plain,
    ( X0 != multiply(identity,sk_c9)
    | sk_c9 != multiply(identity,sk_c9)
    | X0 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1296]) ).

cnf(c_2267,plain,
    ( sk_c10 != multiply(identity,sk_c9)
    | sk_c9 != multiply(identity,sk_c9)
    | sk_c10 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_2266]) ).

cnf(c_2309,plain,
    ( multiply(sk_c3,sk_c11) != sk_c10
    | X0 != sk_c10
    | multiply(sk_c3,sk_c11) = X0 ),
    inference(instantiation,[status(thm)],[c_1251]) ).

cnf(c_2376,plain,
    ( X0 != X1
    | sk_c11 != multiply(sk_c5,sk_c8)
    | multiply(X0,sk_c11) = multiply(X1,multiply(sk_c5,sk_c8)) ),
    inference(instantiation,[status(thm)],[c_1253]) ).

cnf(c_2521,plain,
    ( inverse(sk_c3) != sk_c11
    | ~ sP0_iProver_def
    | multiply(sk_c2,sk_c9) = sk_c10 ),
    inference(superposition,[status(thm)],[c_89,c_568]) ).

cnf(c_2522,plain,
    ( inverse(sk_c3) != sk_c11
    | ~ sP0_iProver_def
    | multiply(sk_c1,sk_c10) = sk_c11 ),
    inference(superposition,[status(thm)],[c_69,c_568]) ).

cnf(c_2524,plain,
    ( inverse(sk_c3) != sk_c11
    | ~ sP0_iProver_def
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_79,c_568]) ).

cnf(c_2525,plain,
    ( inverse(sk_c3) != sk_c11
    | ~ sP0_iProver_def
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_59,c_568]) ).

cnf(c_2575,plain,
    ( multiply(sk_c3,sk_c11) != X0
    | X1 != X0
    | X1 = multiply(sk_c3,sk_c11) ),
    inference(instantiation,[status(thm)],[c_908]) ).

cnf(c_2594,plain,
    ( multiply(inverse(sk_c11),sk_c11) != identity
    | multiply(sk_c3,sk_c11) != identity
    | multiply(sk_c3,sk_c11) = multiply(inverse(sk_c11),sk_c11) ),
    inference(instantiation,[status(thm)],[c_1243]) ).

cnf(c_2602,plain,
    ( multiply(X0,X1) != sk_c10
    | multiply(sk_c3,sk_c11) != sk_c10
    | multiply(sk_c3,sk_c11) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_2309]) ).

cnf(c_2603,plain,
    ( multiply(sk_c3,sk_c11) != multiply(X0,X1)
    | X2 != multiply(X0,X1)
    | X2 = multiply(sk_c3,sk_c11) ),
    inference(instantiation,[status(thm)],[c_1252]) ).

cnf(c_2604,plain,
    ( multiply(sk_c10,sk_c10) != sk_c10
    | multiply(sk_c3,sk_c11) != sk_c10
    | multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10) ),
    inference(instantiation,[status(thm)],[c_2602]) ).

cnf(c_2613,plain,
    ( inverse(sk_c2) != sk_c10
    | ~ sP1_iProver_def
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_94,c_569]) ).

cnf(c_2614,plain,
    ( inverse(sk_c2) != sk_c10
    | ~ sP1_iProver_def
    | inverse(sk_c4) = sk_c10 ),
    inference(superposition,[status(thm)],[c_92,c_569]) ).

cnf(c_2615,plain,
    ( inverse(sk_c2) != sk_c10
    | ~ sP1_iProver_def
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_90,c_569]) ).

cnf(c_2621,plain,
    ( inverse(sk_c4) != sk_c10
    | ~ sP2_iProver_def
    | multiply(sk_c2,sk_c9) = sk_c10 ),
    inference(superposition,[status(thm)],[c_91,c_570]) ).

cnf(c_2622,plain,
    ( inverse(sk_c4) != sk_c10
    | ~ sP2_iProver_def
    | multiply(sk_c1,sk_c10) = sk_c11 ),
    inference(superposition,[status(thm)],[c_71,c_570]) ).

cnf(c_2624,plain,
    ( inverse(sk_c4) != sk_c10
    | ~ sP2_iProver_def
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_81,c_570]) ).

cnf(c_2625,plain,
    ( inverse(sk_c4) != sk_c10
    | ~ sP2_iProver_def
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_61,c_570]) ).

cnf(c_2633,plain,
    ( inverse(sk_c1) != sk_c10
    | sk_c11 != sk_c9
    | ~ sP2_iProver_def
    | inverse(sk_c4) = sk_c10 ),
    inference(superposition,[status(thm)],[c_72,c_570]) ).

cnf(c_2871,plain,
    ( inverse(sk_c5) = sk_c8
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_54,c_573]) ).

cnf(c_2872,plain,
    ( inverse(sk_c4) = sk_c10
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_52,c_573]) ).

cnf(c_2886,plain,
    ( inverse(sk_c3) != sk_c11
    | ~ sP0_iProver_def
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_59,c_568]) ).

cnf(c_2887,plain,
    ( inverse(identity) != sk_c11
    | sk_c10 != sk_c11
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_100,c_568]) ).

cnf(c_2901,plain,
    ( inverse(identity) != sk_c10
    | sk_c10 != sk_c9
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_100,c_569]) ).

cnf(c_2936,plain,
    ( inverse(sk_c1) != sk_c11
    | ~ sP3_iProver_def
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_74,c_571]) ).

cnf(c_2937,plain,
    ( inverse(sk_c1) != sk_c11
    | ~ sP3_iProver_def
    | inverse(sk_c4) = sk_c10 ),
    inference(superposition,[status(thm)],[c_72,c_571]) ).

cnf(c_2938,plain,
    ( inverse(sk_c1) != sk_c11
    | ~ sP3_iProver_def
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_70,c_571]) ).

cnf(c_3058,plain,
    ( sP2_iProver_def
    | inverse(sk_c5) = sk_c8
    | sP0_iProver_def
    | sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_2871,c_84,c_64,c_1715,c_2613,c_2936]) ).

cnf(c_3059,plain,
    ( inverse(sk_c5) = sk_c8
    | sP0_iProver_def
    | sP2_iProver_def
    | sP4_iProver_def ),
    inference(renaming,[status(thm)],[c_3058]) ).

cnf(c_3064,plain,
    ( sP2_iProver_def
    | inverse(sk_c4) = sk_c10
    | sP0_iProver_def
    | sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_2872,c_82,c_62,c_1714,c_2614,c_2937]) ).

cnf(c_3065,plain,
    ( inverse(sk_c4) = sk_c10
    | sP0_iProver_def
    | sP2_iProver_def
    | sP4_iProver_def ),
    inference(renaming,[status(thm)],[c_3064]) ).

cnf(c_3080,plain,
    ( ~ sP0_iProver_def
    | inverse(sk_c1) = sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_2886,c_60,c_2525]) ).

cnf(c_3114,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1132,c_100]) ).

cnf(c_3138,plain,
    ( multiply(inverse(sk_c4),sk_c9) = sk_c10
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_81,c_3114]) ).

cnf(c_3139,plain,
    ( multiply(inverse(sk_c4),sk_c9) = sk_c10
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_61,c_3114]) ).

cnf(c_3184,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_3114,c_3114]) ).

cnf(c_3290,plain,
    ( multiply(inverse(sk_c11),sk_c11) != identity
    | identity != identity
    | identity = multiply(inverse(sk_c11),sk_c11) ),
    inference(instantiation,[status(thm)],[c_1243]) ).

cnf(c_3343,plain,
    ( X0 != X1
    | X2 != X3
    | X4 != multiply(X1,X3)
    | multiply(X0,X2) = X4 ),
    inference(resolution,[status(thm)],[c_576,c_575]) ).

cnf(c_3357,plain,
    ( inverse(sk_c4) = sk_c10
    | sk_c9 = multiply(sk_c10,sk_c11) ),
    inference(resolution,[status(thm)],[c_1886,c_52]) ).

cnf(c_3363,plain,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    inference(resolution,[status(thm)],[c_1886,c_49]) ).

cnf(c_3367,plain,
    ( inverse(sk_c1) = sk_c11
    | sk_c11 = multiply(sk_c5,sk_c8) ),
    inference(resolution,[status(thm)],[c_1886,c_63]) ).

cnf(c_3382,plain,
    ( inverse(sk_c4) = sk_c10
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    inference(resolution,[status(thm)],[c_1886,c_72]) ).

cnf(c_3386,plain,
    ( multiply(sk_c3,sk_c11) = sk_c10
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    inference(resolution,[status(thm)],[c_1886,c_69]) ).

cnf(c_3388,plain,
    ( multiply(sk_c5,sk_c8) = sk_c11
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    inference(resolution,[status(thm)],[c_1886,c_73]) ).

cnf(c_3401,plain,
    ( multiply(sk_c3,sk_c11) = sk_c10
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    inference(resolution,[status(thm)],[c_1886,c_89]) ).

cnf(c_3406,plain,
    X0 = multiply(identity,X0),
    inference(resolution,[status(thm)],[c_1886,c_100]) ).

cnf(c_3414,plain,
    ( X0 != X1
    | inverse(X1) = inverse(X0) ),
    inference(resolution,[status(thm)],[c_1886,c_577]) ).

cnf(c_3468,plain,
    ( inverse(sk_c3) != multiply(sk_c3,sk_c11)
    | X0 != multiply(sk_c3,sk_c11)
    | X0 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_1385]) ).

cnf(c_3470,plain,
    ( inverse(sk_c3) != multiply(sk_c3,sk_c11)
    | sk_c10 != multiply(sk_c3,sk_c11)
    | sk_c10 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_3468]) ).

cnf(c_3503,plain,
    ( multiply(sk_c5,sk_c8) != sk_c11
    | X0 != sk_c11
    | X0 = multiply(sk_c5,sk_c8) ),
    inference(instantiation,[status(thm)],[c_1468]) ).

cnf(c_3600,plain,
    ( multiply(sk_c10,sk_c11) != multiply(identity,multiply(sk_c5,sk_c8))
    | sk_c11 != multiply(identity,multiply(sk_c5,sk_c8))
    | multiply(sk_c10,sk_c11) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_1476]) ).

cnf(c_3638,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_3184,c_101]) ).

cnf(c_3646,plain,
    multiply(sk_c10,inverse(sk_c10)) = identity,
    inference(instantiation,[status(thm)],[c_3638]) ).

cnf(c_3978,plain,
    ( multiply(sk_c10,sk_c9) = sk_c10
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_82,c_3138]) ).

cnf(c_4012,plain,
    ( multiply(sk_c10,sk_c9) = sk_c10
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_62,c_3139]) ).

cnf(c_4037,plain,
    ( X0 != multiply(sk_c1,sk_c10)
    | sk_c11 != multiply(sk_c1,sk_c10)
    | sk_c11 = X0 ),
    inference(instantiation,[status(thm)],[c_879]) ).

cnf(c_4040,plain,
    ( sk_c10 != multiply(sk_c1,sk_c10)
    | sk_c11 != multiply(sk_c1,sk_c10)
    | sk_c11 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_4037]) ).

cnf(c_4049,plain,
    ( multiply(sk_c3,sk_c11) = identity
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_80,c_3638]) ).

cnf(c_4050,plain,
    ( multiply(sk_c3,sk_c11) = identity
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_60,c_3638]) ).

cnf(c_4051,plain,
    ( multiply(sk_c4,sk_c10) = identity
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_82,c_3638]) ).

cnf(c_4052,plain,
    ( multiply(sk_c4,sk_c10) = identity
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_62,c_3638]) ).

cnf(c_4053,plain,
    ( multiply(sk_c5,sk_c8) = identity
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_84,c_3638]) ).

cnf(c_4054,plain,
    ( multiply(sk_c5,sk_c8) = identity
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_64,c_3638]) ).

cnf(c_4061,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_3638,c_100]) ).

cnf(c_4165,plain,
    ( X0 != X1
    | X0 = multiply(identity,X1) ),
    inference(resolution,[status(thm)],[c_1881,c_1886]) ).

cnf(c_4224,plain,
    ( multiply(identity,sk_c9) != X0
    | X1 != X0
    | X1 = multiply(identity,sk_c9) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_4289,plain,
    ( sk_c10 != sk_c9
    | sk_c10 != identity
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_2901,c_4061]) ).

cnf(c_4290,plain,
    ( sk_c10 != sk_c11
    | sk_c11 != identity
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_2887,c_4061]) ).

cnf(c_4379,plain,
    ( inverse(sk_c2) = sk_c10
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_4049,c_79]) ).

cnf(c_4386,plain,
    ( X0 != X1
    | identity != X1
    | identity = X0 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_4387,plain,
    ( X0 != multiply(sk_c3,sk_c11)
    | identity != multiply(sk_c3,sk_c11)
    | X0 = identity ),
    inference(instantiation,[status(thm)],[c_2070]) ).

cnf(c_4389,plain,
    ( sk_c10 != multiply(sk_c3,sk_c11)
    | identity != multiply(sk_c3,sk_c11)
    | sk_c10 = identity ),
    inference(instantiation,[status(thm)],[c_4387]) ).

cnf(c_4569,plain,
    ( inverse(sk_c1) = sk_c11
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_4050,c_59]) ).

cnf(c_4646,plain,
    ( inverse(sk_c2) = sk_c10
    | sk_c9 = identity ),
    inference(superposition,[status(thm)],[c_4051,c_81]) ).

cnf(c_4699,plain,
    ( multiply(X0,inverse(X1)) != X1
    | multiply(X1,inverse(X1)) != sk_c11
    | multiply(inverse(X1),sk_c10) != sk_c11
    | inverse(X0) != multiply(X0,inverse(X1))
    | ~ sP4_iProver_def ),
    inference(resolution,[status(thm)],[c_572,c_577]) ).

cnf(c_4700,plain,
    ( multiply(inverse(sk_c10),sk_c10) != sk_c11
    | multiply(sk_c10,inverse(sk_c10)) != sk_c10
    | multiply(sk_c10,inverse(sk_c10)) != sk_c11
    | inverse(sk_c10) != multiply(sk_c10,inverse(sk_c10))
    | ~ sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_4699]) ).

cnf(c_4707,plain,
    ( inverse(sk_c8) != sk_c11
    | ~ sP3_iProver_def
    | inverse(sk_c1) = sk_c11 ),
    inference(resolution,[status(thm)],[c_571,c_65]) ).

cnf(c_4710,plain,
    ( inverse(sk_c1) != sk_c11
    | ~ sP3_iProver_def
    | inverse(sk_c3) = sk_c11 ),
    inference(resolution,[status(thm)],[c_571,c_70]) ).

cnf(c_4715,plain,
    ( inverse(sk_c1) != sk_c11
    | ~ sP3_iProver_def
    | multiply(sk_c3,sk_c11) = sk_c10 ),
    inference(resolution,[status(thm)],[c_571,c_69]) ).

cnf(c_4717,plain,
    ( inverse(sk_c1) != sk_c11
    | ~ sP3_iProver_def
    | multiply(sk_c5,sk_c8) = sk_c11 ),
    inference(resolution,[status(thm)],[c_571,c_73]) ).

cnf(c_4764,plain,
    ( inverse(sk_c1) = sk_c11
    | sk_c9 = identity ),
    inference(superposition,[status(thm)],[c_4052,c_61]) ).

cnf(c_4845,plain,
    ( inverse(sk_c2) = sk_c10
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_4053,c_83]) ).

cnf(c_5143,plain,
    ( inverse(sk_c1) = sk_c11
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_4054,c_63]) ).

cnf(c_5476,plain,
    ( multiply(X0,sk_c9) != X1
    | X2 != X1
    | multiply(X0,sk_c9) = X2 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_5478,plain,
    ( X0 != X1
    | sk_c9 != X2
    | multiply(X0,sk_c9) = multiply(X1,X2) ),
    inference(instantiation,[status(thm)],[c_576]) ).

cnf(c_5672,plain,
    ( inverse(sk_c4) != sk_c10
    | ~ sP2_iProver_def
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_61,c_570]) ).

cnf(c_5700,plain,
    ( inverse(sk_c1) != sk_c11
    | ~ sP3_iProver_def
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_70,c_571]) ).

cnf(c_5853,plain,
    ( ~ sP2_iProver_def
    | inverse(sk_c1) = sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_5672,c_62,c_2625]) ).

cnf(c_5857,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1132,c_100]) ).

cnf(c_5876,plain,
    ( multiply(inverse(sk_c3),sk_c10) = sk_c11
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_79,c_5857]) ).

cnf(c_5877,plain,
    ( multiply(inverse(sk_c3),sk_c10) = sk_c11
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_59,c_5857]) ).

cnf(c_5908,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_100,c_5857]) ).

cnf(c_5909,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_101,c_5857]) ).

cnf(c_5910,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[status(thm)],[c_102,c_5857]) ).

cnf(c_5930,plain,
    multiply(inverse(inverse(identity)),X0) = X0,
    inference(superposition,[status(thm)],[c_5908,c_5857]) ).

cnf(c_5947,plain,
    multiply(inverse(inverse(inverse(X0))),X0) = identity,
    inference(superposition,[status(thm)],[c_5909,c_5857]) ).

cnf(c_5956,plain,
    ( inverse(inverse(inverse(identity))) != sk_c11
    | sk_c10 != sk_c11
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_5930,c_571]) ).

cnf(c_5957,plain,
    ( inverse(inverse(inverse(identity))) != sk_c10
    | sk_c10 != sk_c9
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_5930,c_570]) ).

cnf(c_5960,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_5930,c_101]) ).

cnf(c_5969,plain,
    ( sk_c10 != sk_c9
    | sk_c10 != identity
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5957,c_5960]) ).

cnf(c_5970,plain,
    ( sk_c10 != sk_c11
    | sk_c11 != identity
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5956,c_5960]) ).

cnf(c_6030,plain,
    ( multiply(sk_c11,sk_c10) = sk_c11
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_80,c_5876]) ).

cnf(c_6038,plain,
    ( inverse(sk_c11) != sk_c11
    | ~ sP3_iProver_def
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_6030,c_571]) ).

cnf(c_6045,plain,
    ( multiply(sk_c11,sk_c10) = sk_c11
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_60,c_5877]) ).

cnf(c_6052,plain,
    ( inverse(sk_c11) != sk_c11
    | ~ sP3_iProver_def
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_6045,c_571]) ).

cnf(c_6230,plain,
    ( ~ sP3_iProver_def
    | inverse(sk_c3) = sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_5700,c_60,c_2938]) ).

cnf(c_7048,plain,
    ( multiply(sk_c5,sk_c8) != sk_c11
    | inverse(sk_c3) != sk_c11
    | inverse(sk_c3) = multiply(sk_c5,sk_c8) ),
    inference(instantiation,[status(thm)],[c_3503]) ).

cnf(c_7477,plain,
    multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,identity)) = X1,
    inference(superposition,[status(thm)],[c_101,c_5910]) ).

cnf(c_7561,plain,
    multiply(inverse(multiply(X0,inverse(inverse(inverse(X1))))),multiply(X0,identity)) = X1,
    inference(superposition,[status(thm)],[c_5947,c_5910]) ).

cnf(c_7578,plain,
    inverse(inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[c_7561,c_7477]) ).

cnf(c_8062,plain,
    ( multiply(inverse(sk_c11),sk_c11) != identity
    | sk_c9 != identity
    | sk_c9 = multiply(inverse(sk_c11),sk_c11) ),
    inference(instantiation,[status(thm)],[c_1243]) ).

cnf(c_8069,plain,
    ( multiply(inverse(sk_c11),sk_c11) != identity
    | sk_c11 != identity
    | sk_c11 = multiply(inverse(sk_c11),sk_c11) ),
    inference(instantiation,[status(thm)],[c_1243]) ).

cnf(c_8070,plain,
    ( X0 != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 != multiply(inverse(sk_c11),sk_c11)
    | X0 = sk_c11 ),
    inference(instantiation,[status(thm)],[c_933]) ).

cnf(c_8071,plain,
    ( X0 != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 = X0 ),
    inference(instantiation,[status(thm)],[c_879]) ).

cnf(c_8074,plain,
    ( sk_c10 != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_8071]) ).

cnf(c_8075,plain,
    ( sk_c10 != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 != multiply(inverse(sk_c11),sk_c11)
    | sk_c10 = sk_c11 ),
    inference(instantiation,[status(thm)],[c_8070]) ).

cnf(c_8793,plain,
    ( multiply(sk_c3,sk_c11) != X0
    | sk_c11 != X0
    | sk_c11 = multiply(sk_c3,sk_c11) ),
    inference(instantiation,[status(thm)],[c_2575]) ).

cnf(c_8808,plain,
    ( multiply(sk_c3,sk_c11) != X0
    | identity != X0
    | identity = multiply(sk_c3,sk_c11) ),
    inference(instantiation,[status(thm)],[c_2575]) ).

cnf(c_9656,plain,
    ( X0 != multiply(X1,X2)
    | sk_c9 != multiply(X1,X2)
    | X0 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1296]) ).

cnf(c_9657,plain,
    ( X0 != multiply(X1,X2)
    | sk_c9 != multiply(X1,X2)
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_883]) ).

cnf(c_9658,plain,
    ( sk_c10 != multiply(sk_c10,sk_c10)
    | sk_c9 != multiply(sk_c10,sk_c10)
    | sk_c9 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_9657]) ).

cnf(c_9659,plain,
    ( sk_c10 != multiply(sk_c10,sk_c10)
    | sk_c9 != multiply(sk_c10,sk_c10)
    | sk_c10 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_9656]) ).

cnf(c_9773,plain,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    inference(resolution,[status(thm)],[c_3386,c_1886]) ).

cnf(c_9789,plain,
    ( sk_c11 = multiply(sk_c5,sk_c8)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    inference(resolution,[status(thm)],[c_3388,c_1886]) ).

cnf(c_9923,plain,
    ( multiply(sk_c1,sk_c10) != X0
    | X1 != X0
    | X1 = multiply(sk_c1,sk_c10) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_9944,plain,
    ( sk_c10 = multiply(sk_c3,sk_c11)
    | sk_c10 = multiply(sk_c2,sk_c9) ),
    inference(resolution,[status(thm)],[c_3401,c_1886]) ).

cnf(c_10967,plain,
    ( ~ sP3_iProver_def
    | inverse(sk_c2) = sk_c10 ),
    inference(global_subsumption_just,[status(thm)],[c_6038,c_1245,c_1244,c_4379,c_4845,c_5970,c_8069,c_8075]) ).

cnf(c_10985,plain,
    ( ~ sP3_iProver_def
    | inverse(sk_c1) = sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_6052,c_1245,c_1244,c_4569,c_5143,c_5970,c_8069,c_8075]) ).

cnf(c_11756,plain,
    ( ~ sP3_iProver_def
    | inverse(sk_c1) = sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_4707,c_1245,c_1244,c_4569,c_5143,c_5970,c_8069,c_8075]) ).

cnf(c_11771,plain,
    ( ~ sP3_iProver_def
    | multiply(sk_c3,sk_c11) = sk_c10 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_4715,c_11756]) ).

cnf(c_11775,plain,
    ( ~ sP3_iProver_def
    | inverse(sk_c3) = sk_c11 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_4710,c_11756]) ).

cnf(c_12242,plain,
    ( X0 != X1
    | inverse(X0) = multiply(identity,inverse(X1)) ),
    inference(resolution,[status(thm)],[c_1887,c_100]) ).

cnf(c_12701,plain,
    ( X0 != identity
    | identity != identity
    | identity = X0 ),
    inference(instantiation,[status(thm)],[c_4386]) ).

cnf(c_12702,plain,
    ( sk_c10 != identity
    | identity != identity
    | identity = sk_c10 ),
    inference(instantiation,[status(thm)],[c_12701]) ).

cnf(c_12815,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_7578,c_101]) ).

cnf(c_13091,plain,
    multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
    inference(superposition,[status(thm)],[c_12815,c_102]) ).

cnf(c_13227,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1132,c_100]) ).

cnf(c_13907,plain,
    multiply(X0,inverse(multiply(X1,X0))) = multiply(inverse(X1),identity),
    inference(superposition,[status(thm)],[c_13091,c_13227]) ).

cnf(c_16806,plain,
    ( multiply(X0,sk_c9) != multiply(identity,sk_c9)
    | sk_c9 != multiply(identity,sk_c9)
    | sk_c9 = multiply(X0,sk_c9) ),
    inference(instantiation,[status(thm)],[c_2106]) ).

cnf(c_16808,plain,
    ( multiply(sk_c10,sk_c9) != multiply(identity,sk_c9)
    | sk_c9 != multiply(identity,sk_c9)
    | sk_c9 = multiply(sk_c10,sk_c9) ),
    inference(instantiation,[status(thm)],[c_16806]) ).

cnf(c_17106,plain,
    ( X0 != X1
    | sk_c9 != sk_c9
    | multiply(X0,sk_c9) = multiply(X1,sk_c9) ),
    inference(instantiation,[status(thm)],[c_5478]) ).

cnf(c_17119,plain,
    ( multiply(X0,sk_c9) != X1
    | sk_c10 != X1
    | sk_c10 = multiply(X0,sk_c9) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_17120,plain,
    ( multiply(sk_c10,sk_c9) != sk_c10
    | sk_c10 != sk_c10
    | sk_c10 = multiply(sk_c10,sk_c9) ),
    inference(instantiation,[status(thm)],[c_17119]) ).

cnf(c_17185,plain,
    ( multiply(X0,X1) != X2
    | sk_c10 != X2
    | sk_c10 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_17186,plain,
    ( multiply(sk_c10,sk_c10) != sk_c10
    | sk_c10 != sk_c10
    | sk_c10 = multiply(sk_c10,sk_c10) ),
    inference(instantiation,[status(thm)],[c_17185]) ).

cnf(c_19712,plain,
    ( sk_c11 != X0
    | sk_c9 != X0
    | sk_c11 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_879]) ).

cnf(c_19716,plain,
    ( sk_c11 != sk_c10
    | sk_c9 != sk_c10
    | sk_c11 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_19712]) ).

cnf(c_19783,plain,
    ( sk_c11 != multiply(X0,X1)
    | sk_c9 != multiply(X0,X1)
    | sk_c9 = sk_c11 ),
    inference(instantiation,[status(thm)],[c_9657]) ).

cnf(c_19902,plain,
    ( X0 != X1
    | X2 != identity
    | multiply(X2,X0) = X1 ),
    inference(resolution,[status(thm)],[c_3406,c_3343]) ).

cnf(c_19903,plain,
    ( sk_c10 != sk_c10
    | sk_c10 != identity
    | multiply(sk_c10,sk_c10) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_19902]) ).

cnf(c_20374,plain,
    ( ~ sP3_iProver_def
    | sk_c11 = inverse(sk_c3) ),
    inference(resolution,[status(thm)],[c_11775,c_1886]) ).

cnf(c_20948,plain,
    ( multiply(inverse(identity),sk_c10) != sk_c11
    | multiply(identity,inverse(identity)) != sk_c11
    | multiply(identity,inverse(identity)) != identity
    | ~ sP4_iProver_def ),
    inference(resolution,[status(thm)],[c_4699,c_3406]) ).

cnf(c_21528,plain,
    ( X0 != identity
    | sk_c11 != multiply(sk_c5,sk_c8)
    | multiply(X0,sk_c11) = multiply(identity,multiply(sk_c5,sk_c8)) ),
    inference(instantiation,[status(thm)],[c_2376]) ).

cnf(c_21531,plain,
    ( sk_c10 != identity
    | sk_c11 != multiply(sk_c5,sk_c8)
    | multiply(sk_c10,sk_c11) = multiply(identity,multiply(sk_c5,sk_c8)) ),
    inference(instantiation,[status(thm)],[c_21528]) ).

cnf(c_21677,plain,
    ( ~ sP3_iProver_def
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    inference(resolution,[status(thm)],[c_11771,c_1886]) ).

cnf(c_22012,plain,
    ( multiply(sk_c3,sk_c11) != multiply(X0,X1)
    | inverse(sk_c3) != multiply(X0,X1)
    | inverse(sk_c3) = multiply(sk_c3,sk_c11) ),
    inference(instantiation,[status(thm)],[c_2603]) ).

cnf(c_22013,plain,
    ( multiply(sk_c3,sk_c11) != multiply(sk_c10,sk_c10)
    | inverse(sk_c3) != multiply(sk_c10,sk_c10)
    | inverse(sk_c3) = multiply(sk_c3,sk_c11) ),
    inference(instantiation,[status(thm)],[c_22012]) ).

cnf(c_22412,plain,
    ( multiply(X0,inverse(X0)) != sk_c11
    | multiply(inverse(X0),sk_c10) != sk_c11
    | inverse(X1) != multiply(X1,inverse(X0))
    | X0 != multiply(X1,inverse(X0))
    | ~ sP4_iProver_def ),
    inference(resolution,[status(thm)],[c_3414,c_572]) ).

cnf(c_22564,plain,
    ( multiply(X0,inverse(X0)) != sk_c11
    | multiply(inverse(X0),sk_c10) != sk_c11
    | multiply(identity,inverse(X0)) != X0
    | inverse(identity) != inverse(X0)
    | ~ sP4_iProver_def ),
    inference(resolution,[status(thm)],[c_4165,c_4699]) ).

cnf(c_22565,plain,
    ( multiply(inverse(sk_c10),sk_c10) != sk_c11
    | multiply(sk_c10,inverse(sk_c10)) != sk_c11
    | multiply(identity,inverse(sk_c10)) != sk_c10
    | inverse(identity) != inverse(sk_c10)
    | ~ sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_22564]) ).

cnf(c_23291,plain,
    ( multiply(X0,inverse(X0)) != sk_c11
    | multiply(inverse(X0),sk_c10) != sk_c11
    | inverse(identity) != inverse(X0)
    | X0 != multiply(identity,inverse(X0))
    | ~ sP4_iProver_def ),
    inference(resolution,[status(thm)],[c_22412,c_4165]) ).

cnf(c_23292,plain,
    ( multiply(inverse(sk_c10),sk_c10) != sk_c11
    | multiply(sk_c10,inverse(sk_c10)) != sk_c11
    | inverse(identity) != inverse(sk_c10)
    | sk_c10 != multiply(identity,inverse(sk_c10))
    | ~ sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_23291]) ).

cnf(c_24460,plain,
    ( multiply(X0,inverse(X0)) != sk_c11
    | multiply(inverse(X0),sk_c10) != sk_c11
    | multiply(identity,inverse(X0)) != X0
    | identity != X0
    | ~ sP4_iProver_def ),
    inference(resolution,[status(thm)],[c_12242,c_4699]) ).

cnf(c_24461,plain,
    ( multiply(inverse(sk_c10),sk_c10) != sk_c11
    | multiply(sk_c10,inverse(sk_c10)) != sk_c11
    | multiply(identity,inverse(sk_c10)) != sk_c10
    | identity != sk_c10
    | ~ sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_24460]) ).

cnf(c_24462,plain,
    ( X0 != X1
    | multiply(identity,inverse(X1)) = inverse(X0) ),
    inference(resolution,[status(thm)],[c_12242,c_1886]) ).

cnf(c_24463,plain,
    ( sk_c10 != sk_c10
    | multiply(identity,inverse(sk_c10)) = inverse(sk_c10) ),
    inference(instantiation,[status(thm)],[c_24462]) ).

cnf(c_24650,plain,
    ( multiply(sk_c3,sk_c11) != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 = multiply(sk_c3,sk_c11) ),
    inference(instantiation,[status(thm)],[c_8793]) ).

cnf(c_24725,plain,
    ( multiply(sk_c3,sk_c11) != identity
    | identity != identity
    | identity = multiply(sk_c3,sk_c11) ),
    inference(instantiation,[status(thm)],[c_8808]) ).

cnf(c_27974,plain,
    ( sk_c10 != multiply(X0,sk_c9)
    | sk_c9 != multiply(X0,sk_c9)
    | sk_c9 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_9657]) ).

cnf(c_27975,plain,
    ( sk_c10 != multiply(sk_c10,sk_c9)
    | sk_c9 != multiply(sk_c10,sk_c9)
    | sk_c9 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_27974]) ).

cnf(c_28088,plain,
    ( multiply(sk_c1,sk_c10) != sk_c11
    | X0 != sk_c11
    | X0 = multiply(sk_c1,sk_c10) ),
    inference(instantiation,[status(thm)],[c_9923]) ).

cnf(c_28089,plain,
    ( multiply(sk_c1,sk_c10) != sk_c11
    | sk_c10 != sk_c11
    | sk_c10 = multiply(sk_c1,sk_c10) ),
    inference(instantiation,[status(thm)],[c_28088]) ).

cnf(c_28764,plain,
    ( multiply(sk_c2,sk_c9) != sk_c10
    | X0 != sk_c10
    | multiply(sk_c2,sk_c9) = X0 ),
    inference(instantiation,[status(thm)],[c_5476]) ).

cnf(c_29217,plain,
    ( multiply(sk_c1,sk_c10) = sk_c11
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    inference(resolution,[status(thm)],[c_9773,c_1886]) ).

cnf(c_30475,plain,
    ( sk_c9 != sk_c9
    | identity != X0
    | multiply(identity,sk_c9) = multiply(X0,sk_c9) ),
    inference(instantiation,[status(thm)],[c_17106]) ).

cnf(c_30478,plain,
    ( multiply(identity,sk_c9) != multiply(X0,sk_c9)
    | X1 != multiply(X0,sk_c9)
    | X1 = multiply(identity,sk_c9) ),
    inference(instantiation,[status(thm)],[c_4224]) ).

cnf(c_30479,plain,
    ( sk_c9 != sk_c9
    | identity != sk_c10
    | multiply(identity,sk_c9) = multiply(sk_c10,sk_c9) ),
    inference(instantiation,[status(thm)],[c_30475]) ).

cnf(c_30480,plain,
    ( multiply(identity,sk_c9) != multiply(sk_c10,sk_c9)
    | sk_c10 != multiply(sk_c10,sk_c9)
    | sk_c10 = multiply(identity,sk_c9) ),
    inference(instantiation,[status(thm)],[c_30478]) ).

cnf(c_30903,plain,
    ( multiply(inverse(sk_c3),identity) = multiply(sk_c11,inverse(sk_c10))
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_59,c_13907]) ).

cnf(c_30933,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_7578,c_101]) ).

cnf(c_30936,plain,
    ( multiply(sk_c3,sk_c11) = identity
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_80,c_30933]) ).

cnf(c_30940,plain,
    ( multiply(sk_c5,sk_c8) = identity
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_84,c_30933]) ).

cnf(c_31049,plain,
    ( multiply(sk_c11,inverse(sk_c10)) = multiply(sk_c11,identity)
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_60,c_30903]) ).

cnf(c_31434,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1132,c_100]) ).

cnf(c_31460,plain,
    multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[status(thm)],[c_7578,c_31434]) ).

cnf(c_31464,plain,
    ( multiply(inverse(sk_c10),sk_c9) = sk_c11
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_54,c_31434]) ).

cnf(c_31465,plain,
    ( multiply(inverse(sk_c10),sk_c9) = sk_c11
    | inverse(sk_c4) = sk_c10 ),
    inference(superposition,[status(thm)],[c_52,c_31434]) ).

cnf(c_31466,plain,
    ( multiply(inverse(sk_c10),sk_c9) = sk_c11
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_50,c_31434]) ).

cnf(c_31471,plain,
    ( multiply(inverse(sk_c3),sk_c10) = sk_c11
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_59,c_31434]) ).

cnf(c_31475,plain,
    ( multiply(inverse(sk_c4),sk_c9) = sk_c10
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_81,c_31434]) ).

cnf(c_31476,plain,
    ( multiply(inverse(sk_c4),sk_c9) = sk_c10
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_61,c_31434]) ).

cnf(c_31504,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[status(thm)],[c_102,c_31434]) ).

cnf(c_31505,plain,
    multiply(inverse(X0),identity) = inverse(X0),
    inference(superposition,[status(thm)],[c_30933,c_31434]) ).

cnf(c_31521,plain,
    ( multiply(inverse(sk_c11),multiply(sk_c11,identity)) = inverse(sk_c10)
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_31049,c_31434]) ).

cnf(c_31540,plain,
    ( inverse(sk_c10) = identity
    | inverse(sk_c1) = sk_c11 ),
    inference(demodulation,[status(thm)],[c_31521,c_31434]) ).

cnf(c_31588,plain,
    multiply(X0,identity) = X0,
    inference(superposition,[status(thm)],[c_7578,c_31505]) ).

cnf(c_31709,plain,
    ( inverse(sk_c2) = sk_c10
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_30936,c_79]) ).

cnf(c_31719,plain,
    ( inverse(sk_c10) = sk_c2
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_31709,c_7578]) ).

cnf(c_31908,plain,
    ( inverse(sk_c2) = sk_c10
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_30940,c_83]) ).

cnf(c_31918,plain,
    ( inverse(sk_c10) = sk_c2
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_31908,c_7578]) ).

cnf(c_32052,plain,
    ( multiply(sk_c2,sk_c9) = sk_c11
    | inverse(sk_c5) = sk_c8
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_31918,c_31464]) ).

cnf(c_32054,plain,
    ( multiply(sk_c2,sk_c9) = sk_c11
    | inverse(sk_c5) = sk_c8
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_31719,c_31464]) ).

cnf(c_32064,plain,
    ( multiply(sk_c2,sk_c9) = sk_c11
    | inverse(sk_c4) = sk_c10
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_31918,c_31465]) ).

cnf(c_32066,plain,
    ( multiply(sk_c2,sk_c9) = sk_c11
    | inverse(sk_c4) = sk_c10
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_31719,c_31465]) ).

cnf(c_32152,plain,
    ( multiply(sk_c2,sk_c9) = sk_c11
    | inverse(sk_c3) = sk_c11
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_31918,c_31466]) ).

cnf(c_32154,plain,
    ( multiply(sk_c2,sk_c9) = sk_c11
    | inverse(sk_c3) = sk_c11
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_31719,c_31466]) ).

cnf(c_32182,plain,
    ( multiply(sk_c11,sk_c10) = sk_c11
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_60,c_31471]) ).

cnf(c_32193,plain,
    ( multiply(inverse(sk_c11),sk_c11) = sk_c10
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_32182,c_31434]) ).

cnf(c_32198,plain,
    ( multiply(sk_c10,sk_c9) = sk_c10
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_82,c_31475]) ).

cnf(c_32209,plain,
    ( inverse(sk_c10) != sk_c10
    | ~ sP1_iProver_def
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_32198,c_569]) ).

cnf(c_32214,plain,
    ( multiply(sk_c10,sk_c9) = sk_c10
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_62,c_31476]) ).

cnf(c_32293,plain,
    ( inverse(sk_c10) != sk_c10
    | ~ sP1_iProver_def
    | inverse(sk_c1) = sk_c11 ),
    inference(superposition,[status(thm)],[c_32214,c_569]) ).

cnf(c_33645,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
    inference(superposition,[status(thm)],[c_30933,c_31504]) ).

cnf(c_34006,plain,
    multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
    inference(light_normalisation,[status(thm)],[c_33645,c_31588]) ).

cnf(c_34060,plain,
    multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)) = inverse(X2),
    inference(superposition,[status(thm)],[c_102,c_34006]) ).

cnf(c_38207,plain,
    ( X0 != identity
    | sk_c9 != sk_c9
    | multiply(X0,sk_c9) = multiply(identity,sk_c9) ),
    inference(instantiation,[status(thm)],[c_17106]) ).

cnf(c_38209,plain,
    ( sk_c10 != identity
    | sk_c9 != sk_c9
    | multiply(sk_c10,sk_c9) = multiply(identity,sk_c9) ),
    inference(instantiation,[status(thm)],[c_38207]) ).

cnf(c_40137,plain,
    ( sk_c11 != multiply(inverse(sk_c11),sk_c11)
    | sk_c9 != multiply(inverse(sk_c11),sk_c11)
    | sk_c9 = sk_c11 ),
    inference(instantiation,[status(thm)],[c_19783]) ).

cnf(c_40406,plain,
    ( multiply(inverse(X0),X0) != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 != multiply(inverse(sk_c11),sk_c11)
    | multiply(inverse(X0),X0) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_8070]) ).

cnf(c_40407,plain,
    ( multiply(inverse(sk_c10),sk_c10) != multiply(inverse(sk_c11),sk_c11)
    | sk_c11 != multiply(inverse(sk_c11),sk_c11)
    | multiply(inverse(sk_c10),sk_c10) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_40406]) ).

cnf(c_40408,plain,
    ( sk_c11 != multiply(inverse(sk_c11),sk_c11)
    | identity != multiply(inverse(sk_c11),sk_c11)
    | identity = sk_c11 ),
    inference(instantiation,[status(thm)],[c_8070]) ).

cnf(c_42031,plain,
    ( ~ sP1_iProver_def
    | inverse(sk_c2) = sk_c10 ),
    inference(global_subsumption_just,[status(thm)],[c_32209,c_580,c_882,c_1220,c_1221,c_2068,c_2267,c_3978,c_4289,c_4379,c_12702,c_17120,c_30479,c_30480]) ).

cnf(c_42035,plain,
    ( ~ sP1_iProver_def
    | inverse(sk_c1) = sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_32293,c_580,c_882,c_1220,c_1221,c_2068,c_2267,c_4012,c_4289,c_4569,c_12702,c_17120,c_30479,c_30480]) ).

cnf(c_44665,plain,
    ( multiply(sk_c2,sk_c9) != sk_c10
    | sk_c11 != sk_c10
    | multiply(sk_c2,sk_c9) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_28764]) ).

cnf(c_46107,plain,
    ( multiply(X0,inverse(X1)) != X2
    | inverse(X0) != X2
    | inverse(X0) = multiply(X0,inverse(X1)) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_46110,plain,
    multiply(identity,inverse(X0)) = inverse(X0),
    inference(instantiation,[status(thm)],[c_100]) ).

cnf(c_46122,plain,
    ( multiply(X0,inverse(X1)) != X2
    | X3 != X2
    | multiply(X0,inverse(X1)) = X3 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_46134,plain,
    ( identity != X0
    | inverse(identity) = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_577]) ).

cnf(c_46135,plain,
    ( identity != sk_c10
    | inverse(identity) = inverse(sk_c10) ),
    inference(instantiation,[status(thm)],[c_46134]) ).

cnf(c_46156,plain,
    ( multiply(identity,inverse(X0)) != inverse(X0)
    | X1 != inverse(X0)
    | multiply(identity,inverse(X0)) = X1 ),
    inference(instantiation,[status(thm)],[c_46122]) ).

cnf(c_46157,plain,
    ( multiply(identity,inverse(sk_c10)) != inverse(sk_c10)
    | sk_c10 != inverse(sk_c10)
    | multiply(identity,inverse(sk_c10)) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_46156]) ).

cnf(c_46162,plain,
    ( multiply(X0,X1) != X2
    | inverse(X3) != X2
    | inverse(X3) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_46171,plain,
    multiply(identity,inverse(identity)) = inverse(identity),
    inference(instantiation,[status(thm)],[c_46110]) ).

cnf(c_46177,plain,
    ( X0 != X1
    | identity != X1
    | identity = X0 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_46193,plain,
    ( X0 != X1
    | identity != X1
    | X0 = identity ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_46201,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | X2 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_46221,plain,
    ( multiply(X0,X1) != X2
    | X3 != X2
    | multiply(X0,X1) = X3 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_46222,plain,
    ( multiply(X0,X1) != multiply(X2,X3)
    | inverse(X4) != multiply(X2,X3)
    | inverse(X4) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_46162]) ).

cnf(c_46246,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | inverse(X0) = X2 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_46257,plain,
    ( multiply(X0,inverse(X1)) != X2
    | X3 != X2
    | X3 = multiply(X0,inverse(X1)) ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_46412,plain,
    ( inverse(X0) != inverse(X1)
    | X2 != inverse(X1)
    | inverse(X0) = X2 ),
    inference(instantiation,[status(thm)],[c_46246]) ).

cnf(c_46541,plain,
    ( X0 != identity
    | inverse(X0) = inverse(identity) ),
    inference(instantiation,[status(thm)],[c_577]) ).

cnf(c_46542,plain,
    ( sk_c10 != identity
    | inverse(sk_c10) = inverse(identity) ),
    inference(instantiation,[status(thm)],[c_46541]) ).

cnf(c_46593,plain,
    ( inverse(X0) != X1
    | identity != X1
    | inverse(X0) = identity ),
    inference(instantiation,[status(thm)],[c_46193]) ).

cnf(c_46594,plain,
    ( inverse(X0) != identity
    | X1 != identity
    | inverse(X0) = X1 ),
    inference(instantiation,[status(thm)],[c_46246]) ).

cnf(c_46600,plain,
    ( multiply(X0,inverse(X1)) != X2
    | identity != X2
    | multiply(X0,inverse(X1)) = identity ),
    inference(instantiation,[status(thm)],[c_46193]) ).

cnf(c_46601,plain,
    ( multiply(X0,inverse(X1)) != identity
    | X2 != identity
    | multiply(X0,inverse(X1)) = X2 ),
    inference(instantiation,[status(thm)],[c_46122]) ).

cnf(c_46602,plain,
    ( multiply(X0,inverse(X1)) != identity
    | inverse(X0) != identity
    | inverse(X0) = multiply(X0,inverse(X1)) ),
    inference(instantiation,[status(thm)],[c_46107]) ).

cnf(c_46603,plain,
    ( multiply(sk_c10,inverse(sk_c10)) != identity
    | inverse(sk_c10) != identity
    | inverse(sk_c10) = multiply(sk_c10,inverse(sk_c10)) ),
    inference(instantiation,[status(thm)],[c_46602]) ).

cnf(c_46604,plain,
    ( multiply(sk_c10,inverse(sk_c10)) != identity
    | sk_c10 != identity
    | multiply(sk_c10,inverse(sk_c10)) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_46601]) ).

cnf(c_46632,plain,
    ( inverse(X0) != inverse(X1)
    | X2 != inverse(X1)
    | X2 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_46201]) ).

cnf(c_46731,plain,
    ( multiply(X0,inverse(X0)) != X1
    | sk_c11 != X1
    | multiply(X0,inverse(X0)) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_46221]) ).

cnf(c_46767,plain,
    ( multiply(identity,inverse(X0)) != inverse(X0)
    | X1 != inverse(X0)
    | X1 = multiply(identity,inverse(X0)) ),
    inference(instantiation,[status(thm)],[c_46257]) ).

cnf(c_46768,plain,
    ( multiply(identity,inverse(sk_c10)) != inverse(sk_c10)
    | sk_c10 != inverse(sk_c10)
    | sk_c10 = multiply(identity,inverse(sk_c10)) ),
    inference(instantiation,[status(thm)],[c_46767]) ).

cnf(c_46901,plain,
    ( multiply(X0,inverse(X1)) != X2
    | multiply(X3,X4) != X2
    | multiply(X3,X4) = multiply(X0,inverse(X1)) ),
    inference(instantiation,[status(thm)],[c_46221]) ).

cnf(c_46903,plain,
    ( multiply(sk_c10,inverse(sk_c10)) != sk_c10
    | multiply(sk_c10,sk_c10) != sk_c10
    | multiply(sk_c10,sk_c10) = multiply(sk_c10,inverse(sk_c10)) ),
    inference(instantiation,[status(thm)],[c_46901]) ).

cnf(c_47134,plain,
    ( X0 != X1
    | sk_c11 != X1
    | X0 = sk_c11 ),
    inference(instantiation,[status(thm)],[c_575]) ).

cnf(c_48216,plain,
    ( multiply(X0,inverse(X0)) != identity
    | sk_c11 != identity
    | multiply(X0,inverse(X0)) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_46731]) ).

cnf(c_48217,plain,
    ( sk_c11 != X0
    | identity != X0
    | sk_c11 = identity ),
    inference(instantiation,[status(thm)],[c_46193]) ).

cnf(c_48218,plain,
    ( multiply(sk_c10,inverse(sk_c10)) != identity
    | sk_c11 != identity
    | multiply(sk_c10,inverse(sk_c10)) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_48216]) ).

cnf(c_48219,plain,
    ( sk_c11 != sk_c10
    | identity != sk_c10
    | sk_c11 = identity ),
    inference(instantiation,[status(thm)],[c_48217]) ).

cnf(c_48763,plain,
    ( multiply(X0,X1) != X2
    | inverse(multiply(X0,X1)) = inverse(X2) ),
    inference(instantiation,[status(thm)],[c_577]) ).

cnf(c_48893,plain,
    ( inverse(sk_c1) != sk_c11
    | identity != sk_c11
    | inverse(sk_c1) = identity ),
    inference(instantiation,[status(thm)],[c_46593]) ).

cnf(c_52193,plain,
    ( multiply(X0,X1) != multiply(sk_c5,sk_c8)
    | inverse(sk_c3) != multiply(sk_c5,sk_c8)
    | inverse(sk_c3) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_46222]) ).

cnf(c_54265,plain,
    ( multiply(identity,inverse(identity)) != X0
    | identity != X0
    | multiply(identity,inverse(identity)) = identity ),
    inference(instantiation,[status(thm)],[c_46600]) ).

cnf(c_54266,plain,
    ( multiply(identity,inverse(identity)) != sk_c10
    | identity != sk_c10
    | multiply(identity,inverse(identity)) = identity ),
    inference(instantiation,[status(thm)],[c_54265]) ).

cnf(c_65441,plain,
    inverse(sk_c1) = sk_c11,
    inference(global_subsumption_just,[status(thm)],[c_32193,c_105,c_573,c_1244,c_1465,c_1466,c_1911,c_2153,c_3080,c_3367,c_3600,c_3646,c_4569,c_4700,c_4764,c_5143,c_5853,c_8062,c_8069,c_10985,c_21531,c_31540,c_40137,c_40407,c_42035,c_46603,c_46604,c_48218]) ).

cnf(c_68100,plain,
    ( multiply(sk_c1,sk_c10) = sk_c11
    | sk_c11 = multiply(sk_c5,sk_c8) ),
    inference(resolution,[status(thm)],[c_9789,c_1886]) ).

cnf(c_68494,plain,
    ( multiply(sk_c2,sk_c9) = sk_c10
    | sk_c10 = multiply(sk_c3,sk_c11) ),
    inference(resolution,[status(thm)],[c_9944,c_1886]) ).

cnf(c_75455,plain,
    ( multiply(X0,inverse(X1)) != identity
    | multiply(sk_c5,sk_c8) != identity
    | multiply(X0,inverse(X1)) = multiply(sk_c5,sk_c8) ),
    inference(instantiation,[status(thm)],[c_46601]) ).

cnf(c_75458,plain,
    ( multiply(sk_c10,inverse(sk_c10)) != identity
    | multiply(sk_c5,sk_c8) != identity
    | multiply(sk_c10,inverse(sk_c10)) = multiply(sk_c5,sk_c8) ),
    inference(instantiation,[status(thm)],[c_75455]) ).

cnf(c_75493,plain,
    ( multiply(X0,inverse(X1)) != multiply(sk_c5,sk_c8)
    | inverse(sk_c3) != multiply(sk_c5,sk_c8)
    | inverse(sk_c3) = multiply(X0,inverse(X1)) ),
    inference(instantiation,[status(thm)],[c_52193]) ).

cnf(c_75496,plain,
    ( multiply(sk_c10,inverse(sk_c10)) != multiply(sk_c5,sk_c8)
    | inverse(sk_c3) != multiply(sk_c5,sk_c8)
    | inverse(sk_c3) = multiply(sk_c10,inverse(sk_c10)) ),
    inference(instantiation,[status(thm)],[c_75493]) ).

cnf(c_77264,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = inverse(multiply(inverse(X2),X1)),
    inference(superposition,[status(thm)],[c_31460,c_34060]) ).

cnf(c_80014,plain,
    ( multiply(X0,inverse(X1)) != X1
    | inverse(multiply(X0,inverse(X1))) = inverse(X1) ),
    inference(instantiation,[status(thm)],[c_48763]) ).

cnf(c_80015,plain,
    ( multiply(sk_c10,inverse(sk_c10)) != sk_c10
    | inverse(multiply(sk_c10,inverse(sk_c10))) = inverse(sk_c10) ),
    inference(instantiation,[status(thm)],[c_80014]) ).

cnf(c_80405,plain,
    ( multiply(X0,inverse(X0)) != multiply(sk_c5,sk_c8)
    | sk_c11 != multiply(sk_c5,sk_c8)
    | multiply(X0,inverse(X0)) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_46731]) ).

cnf(c_80406,plain,
    ( multiply(sk_c10,inverse(sk_c10)) != multiply(sk_c5,sk_c8)
    | sk_c11 != multiply(sk_c5,sk_c8)
    | multiply(sk_c10,inverse(sk_c10)) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_80405]) ).

cnf(c_81438,plain,
    ( multiply(identity,inverse(X0)) != inverse(X0)
    | sk_c11 != inverse(X0)
    | multiply(identity,inverse(X0)) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_46156]) ).

cnf(c_81690,negated_conjecture,
    inverse(sk_c1) = sk_c11,
    inference(global_subsumption_just,[status(thm)],[c_60,c_65441]) ).

cnf(c_81699,plain,
    multiply(sk_c11,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_81690,c_101]) ).

cnf(c_81706,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_101,c_31588]) ).

cnf(c_81709,plain,
    multiply(inverse(X0),multiply(identity,X1)) = inverse(multiply(inverse(X1),X0)),
    inference(superposition,[status(thm)],[c_100,c_77264]) ).

cnf(c_81847,plain,
    ( inverse(sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_86,c_7578]) ).

cnf(c_81850,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_7578,c_101]) ).

cnf(c_82100,plain,
    ( multiply(X0,multiply(X1,sk_c11)) != sk_c10
    | inverse(multiply(X0,X1)) != sk_c11
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_102,c_568]) ).

cnf(c_82116,plain,
    ( multiply(sk_c3,sk_c11) = identity
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_80,c_81850]) ).

cnf(c_82128,plain,
    multiply(X0,multiply(inverse(X0),X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_81850,c_102]) ).

cnf(c_82131,plain,
    multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
    inference(superposition,[status(thm)],[c_81850,c_102]) ).

cnf(c_82145,plain,
    ( inverse(multiply(X0,inverse(X1))) != inverse(X1)
    | multiply(X0,inverse(X1)) != inverse(X0)
    | multiply(inverse(X1),sk_c10) != sk_c11
    | sk_c11 != identity
    | ~ sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_572,c_81850]) ).

cnf(c_82154,plain,
    ( multiply(X0,inverse(X0)) != inverse(X0)
    | multiply(inverse(X0),sk_c10) != sk_c11
    | inverse(X0) != inverse(identity)
    | sk_c11 != identity
    | ~ sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_81850,c_82145]) ).

cnf(c_82165,plain,
    ( multiply(X0,inverse(identity)) != inverse(X0)
    | inverse(multiply(X0,identity)) != identity
    | multiply(inverse(identity),sk_c10) != sk_c11
    | sk_c11 != identity
    | ~ sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_81706,c_82145]) ).

cnf(c_82177,plain,
    ( inverse(sk_c2) = sk_c10
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_87,c_81847]) ).

cnf(c_82251,plain,
    multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(demodulation,[status(thm)],[c_82128,c_100]) ).

cnf(c_82255,plain,
    multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_81850,c_82251]) ).

cnf(c_82259,plain,
    ( multiply(sk_c3,multiply(sk_c11,X0)) = X0
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_80,c_82251]) ).

cnf(c_82265,plain,
    multiply(sk_c1,multiply(sk_c11,X0)) = X0,
    inference(superposition,[status(thm)],[c_81690,c_82251]) ).

cnf(c_82267,plain,
    ( multiply(sk_c2,multiply(sk_c10,X0)) = X0
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_82177,c_82251]) ).

cnf(c_82273,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(superposition,[status(thm)],[c_7578,c_82251]) ).

cnf(c_82277,plain,
    multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
    inference(superposition,[status(thm)],[c_82251,c_102]) ).

cnf(c_82291,plain,
    multiply(inverse(sk_c11),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_82251,c_82265]) ).

cnf(c_82345,plain,
    ( inverse(sk_c2) = sk_c10
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_82116,c_79]) ).

cnf(c_82354,plain,
    ( multiply(sk_c2,multiply(sk_c10,X0)) = X0
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_82345,c_82251]) ).

cnf(c_82370,plain,
    multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))) = identity,
    inference(superposition,[status(thm)],[c_102,c_82131]) ).

cnf(c_82380,plain,
    ( multiply(sk_c3,multiply(sk_c11,inverse(sk_c10))) = identity
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_79,c_82131]) ).

cnf(c_82384,plain,
    ( multiply(sk_c4,multiply(sk_c10,inverse(sk_c9))) = identity
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_81,c_82131]) ).

cnf(c_82599,plain,
    ( multiply(sk_c2,sk_c9) = sk_c11
    | inverse(sk_c5) = sk_c8
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_54,c_82267]) ).

cnf(c_82600,plain,
    ( multiply(sk_c2,sk_c9) = sk_c11
    | inverse(sk_c4) = sk_c10
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_52,c_82267]) ).

cnf(c_82601,plain,
    ( multiply(sk_c2,sk_c9) = sk_c11
    | inverse(sk_c3) = sk_c11
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_50,c_82267]) ).

cnf(c_82688,plain,
    ( multiply(sk_c2,identity) = inverse(sk_c10)
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_81850,c_82354]) ).

cnf(c_82692,plain,
    ( multiply(X0,inverse(multiply(sk_c10,X0))) = multiply(sk_c2,identity)
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_82131,c_82354]) ).

cnf(c_82702,plain,
    ( inverse(multiply(sk_c2,sk_c10)) = identity
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_82354,c_82131]) ).

cnf(c_83025,plain,
    inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(demodulation,[status(thm)],[c_81709,c_100]) ).

cnf(c_83026,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
    inference(demodulation,[status(thm)],[c_77264,c_83025]) ).

cnf(c_83030,plain,
    multiply(inverse(multiply(inverse(inverse(X0)),X1)),X0) = inverse(X1),
    inference(superposition,[status(thm)],[c_82251,c_83025]) ).

cnf(c_83051,plain,
    multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
    inference(superposition,[status(thm)],[c_7578,c_83025]) ).

cnf(c_83061,plain,
    multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
    inference(demodulation,[status(thm)],[c_83030,c_83051,c_83025]) ).

cnf(c_83182,plain,
    ( multiply(inverse(multiply(sk_c10,X0)),sk_c9) = multiply(inverse(X0),sk_c11)
    | inverse(sk_c4) = sk_c10 ),
    inference(superposition,[status(thm)],[c_52,c_83026]) ).

cnf(c_83215,plain,
    ( multiply(inverse(multiply(sk_c2,X0)),sk_c10) = multiply(inverse(X0),sk_c9)
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_94,c_83026]) ).

cnf(c_83216,plain,
    ( multiply(inverse(multiply(sk_c2,X0)),sk_c10) = multiply(inverse(X0),sk_c9)
    | inverse(sk_c4) = sk_c10 ),
    inference(superposition,[status(thm)],[c_92,c_83026]) ).

cnf(c_83217,plain,
    ( multiply(inverse(multiply(sk_c2,X0)),sk_c10) = multiply(inverse(X0),sk_c9)
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_90,c_83026]) ).

cnf(c_83629,plain,
    multiply(sk_c11,inverse(X0)) = inverse(multiply(X0,sk_c1)),
    inference(superposition,[status(thm)],[c_81690,c_83051]) ).

cnf(c_83641,plain,
    multiply(identity,inverse(X0)) = inverse(multiply(X0,identity)),
    inference(superposition,[status(thm)],[c_81706,c_83051]) ).

cnf(c_83642,plain,
    inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
    inference(superposition,[status(thm)],[c_7578,c_83051]) ).

cnf(c_83704,plain,
    multiply(X0,inverse(identity)) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_100,c_83642]) ).

cnf(c_83706,plain,
    inverse(multiply(X0,multiply(X1,inverse(X2)))) = multiply(X2,inverse(multiply(X0,X1))),
    inference(superposition,[status(thm)],[c_102,c_83642]) ).

cnf(c_83775,plain,
    multiply(sk_c11,inverse(multiply(X0,X1))) = inverse(multiply(X0,multiply(X1,sk_c1))),
    inference(superposition,[status(thm)],[c_102,c_83629]) ).

cnf(c_83950,plain,
    ( inverse(sk_c10) = identity
    | inverse(sk_c2) = sk_c10 ),
    inference(superposition,[status(thm)],[c_82380,c_82259]) ).

cnf(c_83953,plain,
    inverse(sk_c2) = sk_c10,
    inference(global_subsumption_just,[status(thm)],[c_82384,c_105,c_82,c_80,c_585,c_573,c_878,c_930,c_931,c_1244,c_1286,c_1911,c_2094,c_2153,c_2524,c_2624,c_3646,c_4379,c_4646,c_4845,c_8062,c_8069,c_10967,c_40137,c_40407,c_42031,c_46603,c_46604,c_48218,c_80015,c_83950]) ).

cnf(c_84000,plain,
    multiply(sk_c10,inverse(X0)) = inverse(multiply(X0,sk_c2)),
    inference(superposition,[status(thm)],[c_83953,c_83051]) ).

cnf(c_84002,plain,
    multiply(inverse(X0),sk_c2) = inverse(multiply(sk_c10,X0)),
    inference(superposition,[status(thm)],[c_83953,c_83025]) ).

cnf(c_84005,plain,
    inverse(sk_c10) = sk_c2,
    inference(superposition,[status(thm)],[c_83953,c_7578]) ).

cnf(c_84006,plain,
    multiply(sk_c10,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_83953,c_101]) ).

cnf(c_84030,plain,
    multiply(sk_c10,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_84006,c_102]) ).

cnf(c_84037,plain,
    multiply(sk_c10,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_84030,c_100]) ).

cnf(c_84042,plain,
    ( multiply(sk_c10,sk_c10) = sk_c9
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_94,c_84037]) ).

cnf(c_84044,plain,
    ( multiply(sk_c10,sk_c10) = sk_c9
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_90,c_84037]) ).

cnf(c_84223,plain,
    multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))) = inverse(X2),
    inference(superposition,[status(thm)],[c_83051,c_82277]) ).

cnf(c_84254,plain,
    ( multiply(sk_c1,multiply(sk_c10,multiply(inverse(sk_c11),X0))) = X0
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_74,c_82277]) ).

cnf(c_84255,plain,
    ( multiply(sk_c1,multiply(sk_c10,multiply(inverse(sk_c11),X0))) = X0
    | inverse(sk_c4) = sk_c10 ),
    inference(superposition,[status(thm)],[c_72,c_82277]) ).

cnf(c_84256,plain,
    ( multiply(sk_c1,multiply(sk_c10,multiply(inverse(sk_c11),X0))) = X0
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_70,c_82277]) ).

cnf(c_85774,plain,
    ( inverse(sk_c5) = sk_c8
    | multiply(sk_c2,sk_c9) = sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_82599,c_94,c_878,c_901,c_1245,c_1244,c_8069,c_8075,c_32054,c_32052,c_44665]) ).

cnf(c_85775,plain,
    ( multiply(sk_c2,sk_c9) = sk_c11
    | inverse(sk_c5) = sk_c8 ),
    inference(renaming,[status(thm)],[c_85774]) ).

cnf(c_85787,plain,
    ( inverse(sk_c5) = sk_c8
    | sk_c10 = sk_c11 ),
    inference(superposition,[status(thm)],[c_85775,c_94]) ).

cnf(c_85821,plain,
    ( inverse(sk_c4) = sk_c10
    | multiply(sk_c2,sk_c9) = sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_82600,c_92,c_878,c_901,c_1245,c_1244,c_8069,c_8075,c_32066,c_32064,c_44665]) ).

cnf(c_85822,plain,
    ( multiply(sk_c2,sk_c9) = sk_c11
    | inverse(sk_c4) = sk_c10 ),
    inference(renaming,[status(thm)],[c_85821]) ).

cnf(c_85835,plain,
    ( inverse(sk_c4) = sk_c10
    | sk_c10 = sk_c11 ),
    inference(superposition,[status(thm)],[c_85822,c_92]) ).

cnf(c_85868,plain,
    ( inverse(sk_c3) = sk_c11
    | multiply(sk_c2,sk_c9) = sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_82601,c_90,c_878,c_901,c_1245,c_1244,c_8069,c_8075,c_32154,c_32152,c_44665]) ).

cnf(c_85869,plain,
    ( multiply(sk_c2,sk_c9) = sk_c11
    | inverse(sk_c3) = sk_c11 ),
    inference(renaming,[status(thm)],[c_85868]) ).

cnf(c_85883,plain,
    ( inverse(sk_c3) = sk_c11
    | sk_c10 = sk_c11 ),
    inference(superposition,[status(thm)],[c_85869,c_90]) ).

cnf(c_85902,plain,
    ( multiply(sk_c3,sk_c11) = identity
    | sk_c10 = sk_c11 ),
    inference(superposition,[status(thm)],[c_85883,c_81850]) ).

cnf(c_86325,plain,
    ( multiply(X0,multiply(sk_c2,multiply(sk_c9,inverse(multiply(X0,sk_c10))))) = identity
    | multiply(sk_c8,sk_c10) = sk_c11 ),
    inference(superposition,[status(thm)],[c_95,c_82370]) ).

cnf(c_86805,plain,
    multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X0,X1)))))) = inverse(multiply(X2,X3)),
    inference(superposition,[status(thm)],[c_102,c_84223]) ).

cnf(c_89117,plain,
    ( multiply(sk_c1,multiply(sk_c10,multiply(sk_c1,X0))) = X0
    | inverse(sk_c5) = sk_c8 ),
    inference(light_normalisation,[status(thm)],[c_84254,c_82291]) ).

cnf(c_89264,plain,
    ( multiply(sk_c1,multiply(sk_c10,multiply(sk_c1,X0))) = X0
    | inverse(sk_c4) = sk_c10 ),
    inference(light_normalisation,[status(thm)],[c_84255,c_82291]) ).

cnf(c_89417,plain,
    ( multiply(sk_c1,multiply(sk_c10,multiply(sk_c1,X0))) = X0
    | inverse(sk_c3) = sk_c11 ),
    inference(light_normalisation,[status(thm)],[c_84256,c_82291]) ).

cnf(c_90387,plain,
    multiply(sk_c1,inverse(multiply(X0,X1))) = inverse(multiply(X0,multiply(X1,sk_c11))),
    inference(superposition,[status(thm)],[c_81690,c_83706]) ).

cnf(c_90597,plain,
    multiply(multiply(sk_c1,inverse(multiply(X0,X1))),multiply(X0,multiply(X1,sk_c11))) = identity,
    inference(superposition,[status(thm)],[c_90387,c_101]) ).

cnf(c_101760,plain,
    multiply(sk_c1,multiply(inverse(X0),multiply(X0,sk_c11))) = identity,
    inference(demodulation,[status(thm)],[c_90597,c_102,c_83026]) ).

cnf(c_101782,plain,
    ( multiply(sk_c1,multiply(inverse(sk_c10),sk_c9)) = identity
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_54,c_101760]) ).

cnf(c_101783,plain,
    ( multiply(sk_c1,multiply(inverse(sk_c10),sk_c9)) = identity
    | inverse(sk_c4) = sk_c10 ),
    inference(superposition,[status(thm)],[c_52,c_101760]) ).

cnf(c_101784,plain,
    ( multiply(sk_c1,multiply(inverse(sk_c10),sk_c9)) = identity
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_50,c_101760]) ).

cnf(c_105510,plain,
    ( multiply(sk_c1,multiply(sk_c2,sk_c9)) = identity
    | inverse(sk_c5) = sk_c8 ),
    inference(light_normalisation,[status(thm)],[c_101782,c_84005]) ).

cnf(c_105524,plain,
    ( multiply(sk_c1,sk_c10) = identity
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_94,c_105510]) ).

cnf(c_105813,plain,
    ( inverse(identity) != X0
    | X1 != X0
    | X1 = inverse(identity) ),
    inference(instantiation,[status(thm)],[c_46201]) ).

cnf(c_105953,plain,
    ( inverse(sk_c5) = sk_c8
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_105524,c_74]) ).

cnf(c_105962,plain,
    ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(identity,X0)
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_105524,c_102]) ).

cnf(c_106257,plain,
    ( multiply(sk_c5,sk_c8) = identity
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_105953,c_81850]) ).

cnf(c_106259,plain,
    ( multiply(sk_c8,sk_c5) = identity
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_105953,c_101]) ).

cnf(c_106847,plain,
    ( multiply(sk_c1,multiply(sk_c2,sk_c9)) = identity
    | inverse(sk_c4) = sk_c10 ),
    inference(light_normalisation,[status(thm)],[c_101783,c_84005]) ).

cnf(c_106862,plain,
    ( multiply(sk_c1,sk_c10) = identity
    | inverse(sk_c4) = sk_c10 ),
    inference(superposition,[status(thm)],[c_92,c_106847]) ).

cnf(c_106980,plain,
    ( inverse(sk_c4) = sk_c10
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_106862,c_72]) ).

cnf(c_106988,plain,
    ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(identity,X0)
    | inverse(sk_c4) = sk_c10 ),
    inference(superposition,[status(thm)],[c_106862,c_102]) ).

cnf(c_107287,plain,
    ( multiply(sk_c10,sk_c4) = identity
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_106980,c_101]) ).

cnf(c_107688,plain,
    ( multiply(sk_c1,multiply(sk_c2,sk_c9)) = identity
    | inverse(sk_c3) = sk_c11 ),
    inference(light_normalisation,[status(thm)],[c_101784,c_84005]) ).

cnf(c_107704,plain,
    ( multiply(sk_c1,sk_c10) = identity
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_90,c_107688]) ).

cnf(c_107749,plain,
    ( inverse(sk_c3) = sk_c11
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_107704,c_70]) ).

cnf(c_107756,plain,
    ( multiply(sk_c1,multiply(sk_c10,X0)) = multiply(identity,X0)
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_107704,c_102]) ).

cnf(c_107782,plain,
    ( multiply(sk_c3,sk_c11) = identity
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_107749,c_81850]) ).

cnf(c_108469,plain,
    ( multiply(sk_c8,multiply(sk_c5,X0)) = multiply(identity,X0)
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_106259,c_102]) ).

cnf(c_108488,plain,
    ( multiply(sk_c10,multiply(sk_c4,X0)) = multiply(identity,X0)
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_107287,c_102]) ).

cnf(c_109200,plain,
    ( multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | sk_c11 = identity ),
    inference(light_normalisation,[status(thm)],[c_108469,c_100]) ).

cnf(c_109207,plain,
    ( multiply(sk_c8,sk_c11) = sk_c8
    | multiply(sk_c1,sk_c10) = sk_c11
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_73,c_109200]) ).

cnf(c_109208,plain,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | multiply(sk_c8,sk_c11) = sk_c8
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_53,c_109200]) ).

cnf(c_110214,plain,
    ( multiply(sk_c10,multiply(sk_c4,X0)) = X0
    | sk_c11 = identity ),
    inference(light_normalisation,[status(thm)],[c_108488,c_100]) ).

cnf(c_110220,plain,
    ( multiply(sk_c10,sk_c9) = sk_c10
    | multiply(sk_c2,sk_c9) = sk_c10
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_91,c_110214]) ).

cnf(c_110221,plain,
    ( multiply(sk_c10,sk_c9) = sk_c10
    | multiply(sk_c1,sk_c10) = sk_c11
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_71,c_110214]) ).

cnf(c_112110,plain,
    ( inverse(sk_c1) != sk_c11
    | ~ sP3_iProver_def
    | multiply(sk_c8,sk_c11) = sk_c8
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_109207,c_571]) ).

cnf(c_112129,plain,
    ( ~ sP3_iProver_def
    | multiply(sk_c8,sk_c11) = sk_c8
    | sk_c11 = identity ),
    inference(forward_subsumption_resolution,[status(thm)],[c_112110,c_81690]) ).

cnf(c_113461,plain,
    ( multiply(X0,X1) != multiply(X2,inverse(X3))
    | inverse(sk_c3) != multiply(X2,inverse(X3))
    | inverse(sk_c3) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_46222]) ).

cnf(c_113462,plain,
    ( multiply(sk_c10,sk_c10) != multiply(sk_c10,inverse(sk_c10))
    | inverse(sk_c3) != multiply(sk_c10,inverse(sk_c10))
    | inverse(sk_c3) = multiply(sk_c10,sk_c10) ),
    inference(instantiation,[status(thm)],[c_113461]) ).

cnf(c_115727,plain,
    ( ~ sP3_iProver_def
    | sk_c11 = identity ),
    inference(global_subsumption_just,[status(thm)],[c_112129,c_105,c_580,c_573,c_988,c_1244,c_1342,c_1465,c_1466,c_1911,c_2068,c_2153,c_2594,c_2604,c_3080,c_3367,c_3470,c_3600,c_3646,c_4389,c_4569,c_4700,c_4717,c_4715,c_4764,c_5143,c_5853,c_5970,c_6230,c_7048,c_8062,c_8069,c_10985,c_12702,c_19903,c_20374,c_21531,c_21677,c_22013,c_24650,c_24725,c_31540,c_40137,c_40407,c_42035,c_46603,c_46604,c_46903,c_48218,c_48219,c_75458,c_75496,c_85902,c_106257,c_107782,c_113462]) ).

cnf(c_115729,plain,
    ~ sP3_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_115727,c_1244,c_1342,c_2594,c_5970,c_8069,c_21677,c_24650,c_85902,c_115727]) ).

cnf(c_115736,plain,
    ( multiply(sk_c10,sk_c11) != sk_c9
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP4_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_573,c_115729]) ).

cnf(c_115747,plain,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | sk_c11 = identity ),
    inference(global_subsumption_just,[status(thm)],[c_109208,c_50,c_53,c_49,c_580,c_878,c_927,c_988,c_2068,c_2604,c_3363,c_3470,c_3646,c_4389,c_7048,c_12702,c_19903,c_22013,c_24725,c_46604,c_46903,c_48219,c_75458,c_75496,c_106257,c_107782,c_113462]) ).

cnf(c_115795,plain,
    ( multiply(sk_c2,sk_c9) = sk_c10
    | sk_c11 = identity ),
    inference(global_subsumption_just,[status(thm)],[c_110220,c_90,c_93,c_89,c_580,c_878,c_927,c_988,c_2068,c_2604,c_3470,c_3646,c_4389,c_7048,c_12702,c_19903,c_22013,c_24725,c_46604,c_46903,c_48219,c_68494,c_75458,c_75496,c_106257,c_107782,c_113462]) ).

cnf(c_116286,plain,
    ( multiply(sk_c1,sk_c10) = sk_c11
    | sk_c11 = identity ),
    inference(global_subsumption_just,[status(thm)],[c_110221,c_70,c_73,c_69,c_580,c_878,c_927,c_988,c_2068,c_2604,c_3470,c_3646,c_4389,c_7048,c_12702,c_19903,c_22013,c_24725,c_29217,c_46604,c_46903,c_48219,c_75458,c_75496,c_106257,c_107782,c_113462]) ).

cnf(c_117351,plain,
    ( multiply(sk_c1,multiply(sk_c10,X0)) = X0
    | inverse(sk_c5) = sk_c8 ),
    inference(light_normalisation,[status(thm)],[c_105962,c_100]) ).

cnf(c_117453,plain,
    ( multiply(sk_c10,X0) = X0
    | inverse(sk_c5) = sk_c8 ),
    inference(superposition,[status(thm)],[c_117351,c_89117]) ).

cnf(c_117477,plain,
    ( multiply(sk_c10,sk_c10) = sk_c10
    | inverse(sk_c5) = sk_c8 ),
    inference(instantiation,[status(thm)],[c_117453]) ).

cnf(c_117661,plain,
    ( X0 != sk_c11
    | identity != sk_c11
    | identity = X0 ),
    inference(instantiation,[status(thm)],[c_46177]) ).

cnf(c_117662,plain,
    ( sk_c10 != sk_c11
    | identity != sk_c11
    | identity = sk_c10 ),
    inference(instantiation,[status(thm)],[c_117661]) ).

cnf(c_117760,plain,
    ( X0 != sk_c11
    | identity != sk_c11
    | X0 = identity ),
    inference(instantiation,[status(thm)],[c_46193]) ).

cnf(c_117761,plain,
    ( sk_c10 != sk_c11
    | identity != sk_c11
    | sk_c10 = identity ),
    inference(instantiation,[status(thm)],[c_117760]) ).

cnf(c_117911,plain,
    ( multiply(sk_c1,multiply(sk_c10,X0)) = X0
    | inverse(sk_c4) = sk_c10 ),
    inference(light_normalisation,[status(thm)],[c_106988,c_100]) ).

cnf(c_118012,plain,
    ( multiply(sk_c10,X0) = X0
    | inverse(sk_c4) = sk_c10 ),
    inference(superposition,[status(thm)],[c_117911,c_89264]) ).

cnf(c_118037,plain,
    ( multiply(sk_c10,sk_c10) = sk_c10
    | inverse(sk_c4) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_118012]) ).

cnf(c_119118,plain,
    ( multiply(sk_c1,multiply(sk_c10,X0)) = X0
    | inverse(sk_c3) = sk_c11 ),
    inference(light_normalisation,[status(thm)],[c_107756,c_100]) ).

cnf(c_119218,plain,
    ( multiply(sk_c10,X0) = X0
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_119118,c_89417]) ).

cnf(c_119244,plain,
    ( multiply(sk_c10,sk_c10) = sk_c10
    | inverse(sk_c3) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_119218]) ).

cnf(c_135239,plain,
    ( multiply(inverse(identity),sk_c10) != X0
    | sk_c11 != X0
    | multiply(inverse(identity),sk_c10) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_47134]) ).

cnf(c_135240,plain,
    ( multiply(inverse(identity),sk_c10) != sk_c10
    | sk_c11 != sk_c10
    | multiply(inverse(identity),sk_c10) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_135239]) ).

cnf(c_144054,plain,
    ( multiply(multiply(inverse(X0),sk_c2),sk_c9) = multiply(inverse(X0),sk_c11)
    | inverse(sk_c4) = sk_c10 ),
    inference(light_normalisation,[status(thm)],[c_83182,c_84002]) ).

cnf(c_144055,plain,
    ( multiply(inverse(X0),multiply(sk_c2,sk_c9)) = multiply(inverse(X0),sk_c11)
    | inverse(sk_c4) = sk_c10 ),
    inference(demodulation,[status(thm)],[c_144054,c_102]) ).

cnf(c_144091,plain,
    ( multiply(inverse(X0),sk_c10) = multiply(inverse(X0),sk_c11)
    | inverse(sk_c4) = sk_c10 ),
    inference(superposition,[status(thm)],[c_92,c_144055]) ).

cnf(c_144723,plain,
    ( multiply(X0,sk_c10) = multiply(X0,sk_c11)
    | inverse(sk_c4) = sk_c10 ),
    inference(superposition,[status(thm)],[c_7578,c_144091]) ).

cnf(c_144758,plain,
    ( multiply(sk_c10,sk_c10) = multiply(sk_c10,sk_c11)
    | inverse(sk_c4) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_144723]) ).

cnf(c_147708,plain,
    ( inverse(identity) != identity
    | X0 != identity
    | inverse(identity) = X0 ),
    inference(instantiation,[status(thm)],[c_46594]) ).

cnf(c_147710,plain,
    ( inverse(identity) != identity
    | sk_c10 != identity
    | inverse(identity) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_147708]) ).

cnf(c_147712,plain,
    ( inverse(identity) != identity
    | X0 != identity
    | X0 = inverse(identity) ),
    inference(instantiation,[status(thm)],[c_105813]) ).

cnf(c_147714,plain,
    ( inverse(identity) != identity
    | sk_c10 != identity
    | sk_c10 = inverse(identity) ),
    inference(instantiation,[status(thm)],[c_147712]) ).

cnf(c_152445,plain,
    ( inverse(identity) != X0
    | sk_c11 != X0
    | sk_c11 = inverse(identity) ),
    inference(instantiation,[status(thm)],[c_105813]) ).

cnf(c_152446,plain,
    ( multiply(identity,inverse(identity)) != inverse(identity)
    | sk_c11 != inverse(identity)
    | multiply(identity,inverse(identity)) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_81438]) ).

cnf(c_152447,plain,
    ( inverse(identity) != sk_c10
    | sk_c11 != sk_c10
    | sk_c11 = inverse(identity) ),
    inference(instantiation,[status(thm)],[c_152445]) ).

cnf(c_152450,plain,
    ( inverse(X0) != inverse(identity)
    | X1 != inverse(identity)
    | X1 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_46632]) ).

cnf(c_152451,plain,
    ( inverse(X0) != inverse(identity)
    | X1 != inverse(identity)
    | inverse(X0) = X1 ),
    inference(instantiation,[status(thm)],[c_46412]) ).

cnf(c_152452,plain,
    ( inverse(sk_c10) != inverse(identity)
    | sk_c10 != inverse(identity)
    | inverse(sk_c10) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_152451]) ).

cnf(c_152453,plain,
    ( inverse(sk_c10) != inverse(identity)
    | sk_c10 != inverse(identity)
    | sk_c10 = inverse(sk_c10) ),
    inference(instantiation,[status(thm)],[c_152450]) ).

cnf(c_152464,plain,
    ( multiply(identity,inverse(identity)) != inverse(identity)
    | X0 != inverse(identity)
    | multiply(identity,inverse(identity)) = X0 ),
    inference(instantiation,[status(thm)],[c_46156]) ).

cnf(c_152465,plain,
    ( multiply(identity,inverse(identity)) != inverse(identity)
    | sk_c10 != inverse(identity)
    | multiply(identity,inverse(identity)) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_152464]) ).

cnf(c_152801,plain,
    inverse(sk_c5) = sk_c8,
    inference(global_subsumption_just,[status(thm)],[c_83215,c_105,c_580,c_882,c_916,c_1244,c_2068,c_2153,c_3059,c_3290,c_3646,c_4061,c_4290,c_5969,c_8069,c_9659,c_17186,c_23292,c_24463,c_40407,c_40408,c_46135,c_46542,c_46768,c_48218,c_84042,c_85787,c_105953,c_117477,c_117662,c_117761,c_147714,c_152453]) ).

cnf(c_152858,plain,
    multiply(sk_c5,sk_c8) = identity,
    inference(superposition,[status(thm)],[c_152801,c_81850]) ).

cnf(c_152873,plain,
    inverse(sk_c4) = sk_c10,
    inference(global_subsumption_just,[status(thm)],[c_83216,c_105,c_72,c_580,c_1244,c_1844,c_2035,c_2068,c_2153,c_2633,c_3065,c_3290,c_3357,c_3382,c_3646,c_4040,c_4061,c_4290,c_8069,c_9658,c_17186,c_19716,c_22565,c_24463,c_28089,c_40407,c_40408,c_46135,c_46157,c_46542,c_48218,c_85835,c_106980,c_117662,c_117761,c_118037,c_144758,c_147714,c_152453]) ).

cnf(c_152929,plain,
    multiply(sk_c10,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_152873,c_101]) ).

cnf(c_152942,plain,
    inverse(sk_c3) = sk_c11,
    inference(global_subsumption_just,[status(thm)],[c_83217,c_105,c_82,c_80,c_50,c_580,c_585,c_573,c_878,c_882,c_916,c_930,c_931,c_988,c_1244,c_1286,c_1342,c_1465,c_1466,c_1911,c_2068,c_2094,c_2153,c_2524,c_2594,c_2604,c_2615,c_2624,c_3080,c_3290,c_3367,c_3470,c_3600,c_3646,c_4061,c_4290,c_4379,c_4389,c_4569,c_4646,c_4700,c_4717,c_4715,c_4764,c_4845,c_5143,c_5853,c_5970,c_5969,c_6230,c_7048,c_8062,c_8069,c_9659,c_10967,c_10985,c_12702,c_17186,c_19903,c_20374,c_21531,c_21677,c_22013,c_22565,c_24463,c_24650,c_24725,c_31540,c_40137,c_40407,c_40408,c_42031,c_42035,c_46135,c_46157,c_46542,c_46603,c_46604,c_46903,c_48218,c_48219,c_75458,c_75496,c_80015,c_83950,c_84044,c_85883,c_85902,c_106257,c_107749,c_107782,c_113462,c_117662,c_117761,c_119244,c_147714,c_152453]) ).

cnf(c_152997,plain,
    multiply(sk_c3,sk_c11) = identity,
    inference(superposition,[status(thm)],[c_152942,c_81850]) ).

cnf(c_152998,plain,
    inverse(sk_c11) = sk_c3,
    inference(superposition,[status(thm)],[c_152942,c_7578]) ).

cnf(c_152999,plain,
    multiply(sk_c11,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_152942,c_101]) ).

cnf(c_153070,plain,
    multiply(sk_c10,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_152929,c_102]) ).

cnf(c_153090,plain,
    multiply(sk_c11,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_152999,c_102]) ).

cnf(c_153452,plain,
    multiply(sk_c10,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_153070,c_100]) ).

cnf(c_153457,plain,
    ( multiply(sk_c10,sk_c9) = sk_c10
    | multiply(sk_c2,sk_c9) = sk_c10 ),
    inference(superposition,[status(thm)],[c_91,c_153452]) ).

cnf(c_153458,plain,
    ( multiply(sk_c10,sk_c9) = sk_c10
    | multiply(sk_c1,sk_c10) = sk_c11 ),
    inference(superposition,[status(thm)],[c_71,c_153452]) ).

cnf(c_153459,plain,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | multiply(sk_c10,sk_c9) = sk_c10 ),
    inference(superposition,[status(thm)],[c_51,c_153452]) ).

cnf(c_153460,plain,
    multiply(sk_c10,identity) = inverse(sk_c4),
    inference(superposition,[status(thm)],[c_81850,c_153452]) ).

cnf(c_153538,plain,
    multiply(sk_c11,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_153090,c_100]) ).

cnf(c_153546,plain,
    multiply(sk_c11,identity) = inverse(sk_c3),
    inference(superposition,[status(thm)],[c_81850,c_153538]) ).

cnf(c_153578,plain,
    inverse(multiply(sk_c11,sk_c3)) = identity,
    inference(superposition,[status(thm)],[c_153538,c_82131]) ).

cnf(c_153584,plain,
    multiply(sk_c11,inverse(multiply(sk_c11,sk_c3))) = inverse(sk_c1),
    inference(superposition,[status(thm)],[c_153538,c_83775]) ).

cnf(c_153587,plain,
    inverse(sk_c3) = inverse(sk_c1),
    inference(light_normalisation,[status(thm)],[c_153584,c_153578,c_153546]) ).

cnf(c_153625,plain,
    multiply(sk_c2,sk_c9) = sk_c10,
    inference(global_subsumption_just,[status(thm)],[c_153457,c_580,c_582,c_573,c_857,c_878,c_882,c_930,c_931,c_1220,c_1221,c_1245,c_1244,c_1286,c_1452,c_1912,c_2068,c_2094,c_2521,c_2621,c_4061,c_4389,c_8069,c_8074,c_8075,c_12702,c_16808,c_17120,c_20948,c_24725,c_27975,c_38209,c_46171,c_46542,c_54266,c_68494,c_115729,c_115795,c_135240,c_147710,c_147714,c_152447,c_152446,c_152452,c_152465,c_152873,c_152942,c_152997,c_153457]) ).

cnf(c_153650,plain,
    multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sk_c10,X0),
    inference(superposition,[status(thm)],[c_153625,c_102]) ).

cnf(c_153653,plain,
    ( inverse(sk_c2) != sk_c10
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_153625,c_569]) ).

cnf(c_153657,plain,
    multiply(sk_c10,sk_c10) = sk_c9,
    inference(superposition,[status(thm)],[c_153625,c_84037]) ).

cnf(c_153658,plain,
    ~ sP1_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_153653,c_83953]) ).

cnf(c_153663,plain,
    ( multiply(sk_c10,sk_c11) != sk_c9
    | sP0_iProver_def
    | sP2_iProver_def
    | sP4_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_115736,c_153658]) ).

cnf(c_153667,plain,
    multiply(sk_c1,sk_c10) = sk_c11,
    inference(global_subsumption_just,[status(thm)],[c_153458,c_105,c_82,c_80,c_72,c_50,c_580,c_585,c_573,c_863,c_864,c_878,c_882,c_916,c_930,c_931,c_988,c_1245,c_1244,c_1286,c_1342,c_1465,c_1466,c_1844,c_1911,c_2035,c_2068,c_2094,c_2153,c_2524,c_2522,c_2594,c_2604,c_2615,c_2624,c_2622,c_2633,c_3065,c_3080,c_3290,c_3357,c_3363,c_3367,c_3382,c_3470,c_3600,c_3646,c_4040,c_4061,c_4290,c_4379,c_4389,c_4569,c_4646,c_4700,c_4717,c_4715,c_4764,c_4845,c_5143,c_5853,c_5970,c_5969,c_6230,c_7048,c_8062,c_8069,c_8074,c_9658,c_9659,c_10967,c_10985,c_12702,c_17186,c_19716,c_19903,c_20374,c_21531,c_21677,c_22013,c_22565,c_24461,c_24463,c_24650,c_24725,c_28089,c_29217,c_31540,c_40137,c_40407,c_40408,c_42031,c_42035,c_46135,c_46157,c_46542,c_46603,c_46604,c_46903,c_48218,c_48219,c_68100,c_75458,c_75496,c_80015,c_80406,c_83950,c_84044,c_85835,c_85883,c_85902,c_106257,c_106980,c_107749,c_107782,c_113462,c_115747,c_116286,c_117662,c_117761,c_118037,c_119244,c_144758,c_147714,c_152453,c_152858,c_152997,c_153657,c_153663]) ).

cnf(c_153688,plain,
    ( inverse(sk_c1) != sk_c10
    | sk_c11 != sk_c9
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_153667,c_570]) ).

cnf(c_153693,plain,
    multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sk_c11,X0),
    inference(superposition,[status(thm)],[c_153667,c_102]) ).

cnf(c_153706,plain,
    multiply(sk_c10,sk_c11) = sk_c9,
    inference(global_subsumption_just,[status(thm)],[c_153459,c_580,c_863,c_864,c_882,c_916,c_1245,c_1244,c_2068,c_3363,c_4389,c_8069,c_8074,c_24725,c_115747,c_152997,c_153657]) ).

cnf(c_153725,plain,
    ( sP0_iProver_def
    | sP2_iProver_def
    | sP4_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_153663,c_153706]) ).

cnf(c_153744,plain,
    ( sk_c10 != sk_c11
    | sk_c11 != sk_c9
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_153688,c_81690]) ).

cnf(c_153760,plain,
    multiply(sk_c10,identity) = multiply(sk_c2,sk_c9),
    inference(superposition,[status(thm)],[c_31588,c_153650]) ).

cnf(c_153821,plain,
    multiply(sk_c11,identity) = multiply(sk_c1,sk_c10),
    inference(superposition,[status(thm)],[c_31588,c_153693]) ).

cnf(c_153825,plain,
    multiply(sk_c11,sk_c2) = multiply(sk_c1,identity),
    inference(superposition,[status(thm)],[c_84006,c_153693]) ).

cnf(c_154559,plain,
    multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X3,multiply(X4,multiply(X0,multiply(X1,X2)))))))) = inverse(multiply(X3,X4)),
    inference(superposition,[status(thm)],[c_102,c_86805]) ).

cnf(c_154589,plain,
    multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X4,multiply(X0,X1))))))) = inverse(multiply(X2,multiply(X3,X4))),
    inference(superposition,[status(thm)],[c_102,c_86805]) ).

cnf(c_154729,plain,
    multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = inverse(multiply(X1,X2)),
    inference(demodulation,[status(thm)],[c_154559,c_154589]) ).

cnf(c_155038,plain,
    multiply(sk_c9,inverse(multiply(X0,sk_c10))) = inverse(multiply(X0,sk_c2)),
    inference(superposition,[status(thm)],[c_153625,c_154729]) ).

cnf(c_155877,plain,
    ( inverse(multiply(sk_c10,sk_c2)) != sk_c11
    | sk_c10 != sk_c11
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_84037,c_82100]) ).

cnf(c_155915,plain,
    ( multiply(inverse(X0),sk_c10) != sk_c11
    | inverse(X0) != identity
    | sk_c11 != identity
    | ~ sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_82154,c_81850,c_81706]) ).

cnf(c_155926,plain,
    ( multiply(sk_c11,sk_c10) != sk_c11
    | inverse(sk_c1) != identity
    | sk_c11 != identity
    | ~ sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_81690,c_155915]) ).

cnf(c_155950,plain,
    ( multiply(identity,inverse(X0)) != identity
    | multiply(identity,sk_c10) != sk_c11
    | inverse(X0) != X0
    | sk_c11 != identity
    | ~ sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_82165,c_31588,c_81706,c_83704,c_82255,c_83641]) ).

cnf(c_155951,plain,
    ( inverse(X0) != X0
    | inverse(X0) != identity
    | sk_c10 != sk_c11
    | sk_c11 != identity
    | ~ sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_155950,c_100]) ).

cnf(c_155966,plain,
    ( inverse(identity) != identity
    | sk_c10 != sk_c11
    | sk_c11 != identity
    | ~ sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_81706,c_155951]) ).

cnf(c_155974,plain,
    ( sk_c10 != sk_c11
    | sk_c11 != identity
    | ~ sP4_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_155966,c_81706]) ).

cnf(c_156069,plain,
    ( multiply(X0,multiply(sk_c2,multiply(sk_c10,inverse(X0)))) = identity
    | multiply(sk_c8,sk_c10) = sk_c11 ),
    inference(light_normalisation,[status(thm)],[c_86325,c_84000,c_155038]) ).

cnf(c_156085,plain,
    ( multiply(sk_c1,multiply(sk_c2,multiply(sk_c10,sk_c11))) = identity
    | multiply(sk_c8,sk_c10) = sk_c11 ),
    inference(superposition,[status(thm)],[c_81690,c_156069]) ).

cnf(c_156167,plain,
    ( multiply(sk_c8,sk_c10) = sk_c11
    | sk_c11 = identity ),
    inference(light_normalisation,[status(thm)],[c_156085,c_81690,c_152873,c_153460,c_153546,c_153587,c_153706,c_153760,c_153821]) ).

cnf(c_156175,plain,
    ( multiply(sk_c8,multiply(sk_c10,X0)) = multiply(sk_c11,X0)
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_156167,c_102]) ).

cnf(c_156210,plain,
    ( multiply(sk_c11,identity) = multiply(sk_c8,sk_c10)
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_31588,c_156175]) ).

cnf(c_156212,plain,
    ( multiply(sk_c11,multiply(X0,inverse(multiply(sk_c10,X0)))) = multiply(sk_c8,identity)
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_82131,c_156175]) ).

cnf(c_157056,plain,
    multiply(inverse(sk_c10),sk_c9) = sk_c11,
    inference(superposition,[status(thm)],[c_153706,c_82273]) ).

cnf(c_157059,plain,
    multiply(inverse(sk_c1),sk_c11) = sk_c10,
    inference(superposition,[status(thm)],[c_153667,c_82273]) ).

cnf(c_157065,plain,
    multiply(inverse(sk_c11),identity) = sk_c3,
    inference(superposition,[status(thm)],[c_152999,c_82273]) ).

cnf(c_157087,plain,
    multiply(inverse(sk_c11),identity) = sk_c1,
    inference(superposition,[status(thm)],[c_81699,c_82273]) ).

cnf(c_157134,plain,
    sk_c3 = sk_c1,
    inference(light_normalisation,[status(thm)],[c_157065,c_157087]) ).

cnf(c_157473,plain,
    multiply(sk_c11,sk_c2) = sk_c1,
    inference(light_normalisation,[status(thm)],[c_157087,c_152998,c_153825,c_157134]) ).

cnf(c_157551,plain,
    multiply(inverse(sk_c1),sk_c11) = inverse(sk_c2),
    inference(superposition,[status(thm)],[c_157473,c_83061]) ).

cnf(c_157735,plain,
    ( multiply(sk_c11,sk_c10) != sk_c11
    | sk_c11 != identity
    | ~ sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_155926,c_105,c_573,c_1244,c_1465,c_1466,c_1911,c_2068,c_2153,c_3080,c_3290,c_3367,c_3600,c_3646,c_4569,c_4700,c_4764,c_5143,c_5853,c_8062,c_8069,c_10985,c_21531,c_31540,c_40137,c_40407,c_40408,c_42035,c_46603,c_46604,c_48218,c_48893,c_155926]) ).

cnf(c_158708,plain,
    multiply(inverse(sk_c10),sk_c9) = sk_c10,
    inference(superposition,[status(thm)],[c_153657,c_82273]) ).

cnf(c_158815,plain,
    sk_c10 = sk_c11,
    inference(light_normalisation,[status(thm)],[c_157056,c_158708]) ).

cnf(c_158823,plain,
    ( multiply(sk_c10,sk_c10) != sk_c10
    | sk_c10 != identity
    | ~ sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_157735,c_158815]) ).

cnf(c_158825,plain,
    multiply(sk_c10,sk_c2) = sk_c1,
    inference(demodulation,[status(thm)],[c_157473,c_158815]) ).

cnf(c_158829,plain,
    ( multiply(sk_c8,multiply(sk_c10,X0)) = multiply(sk_c10,X0)
    | sk_c10 = identity ),
    inference(demodulation,[status(thm)],[c_156175,c_158815]) ).

cnf(c_158840,plain,
    multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sk_c10,X0),
    inference(demodulation,[status(thm)],[c_153693,c_158815]) ).

cnf(c_158842,plain,
    ( sk_c10 != sk_c10
    | sk_c10 != sk_c9
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_153744,c_158815]) ).

cnf(c_158855,plain,
    multiply(sk_c1,multiply(sk_c10,X0)) = X0,
    inference(demodulation,[status(thm)],[c_82265,c_158815]) ).

cnf(c_158861,plain,
    inverse(sk_c1) = sk_c10,
    inference(demodulation,[status(thm)],[c_81690,c_158815]) ).

cnf(c_158866,plain,
    ( sk_c11 != identity
    | ~ sP4_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_155974,c_158815]) ).

cnf(c_158875,plain,
    ( inverse(multiply(sk_c10,sk_c2)) != sk_c11
    | ~ sP0_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_155877,c_158815]) ).

cnf(c_158883,plain,
    multiply(sk_c10,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_158840,c_158855]) ).

cnf(c_158885,plain,
    ( sk_c10 != sk_c11
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_158875,c_158825,c_158861]) ).

cnf(c_158886,plain,
    ~ sP0_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_158885,c_158815]) ).

cnf(c_158889,plain,
    ( sk_c10 != sk_c9
    | ~ sP2_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_158842]) ).

cnf(c_158892,plain,
    ( multiply(sk_c8,X0) = X0
    | sk_c10 = identity ),
    inference(light_normalisation,[status(thm)],[c_158829,c_158883]) ).

cnf(c_158893,plain,
    ( sk_c10 != sk_c10
    | sk_c10 != identity
    | ~ sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_158823,c_158883]) ).

cnf(c_158894,plain,
    ( sk_c10 != identity
    | ~ sP4_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_158893]) ).

cnf(c_158905,plain,
    ( sP2_iProver_def
    | sP4_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_153725,c_158886]) ).

cnf(c_159002,plain,
    sk_c10 = sk_c9,
    inference(light_normalisation,[status(thm)],[c_157059,c_153657,c_157551,c_158815,c_158861]) ).

cnf(c_159007,plain,
    multiply(sk_c2,sk_c10) = sk_c10,
    inference(demodulation,[status(thm)],[c_153625,c_159002]) ).

cnf(c_159011,plain,
    ~ sP2_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_158889,c_159002]) ).

cnf(c_159027,plain,
    sP4_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_158905,c_159011]) ).

cnf(c_159028,plain,
    sk_c10 != identity,
    inference(backward_subsumption_resolution,[status(thm)],[c_158894,c_159027]) ).

cnf(c_159033,plain,
    sk_c11 != identity,
    inference(backward_subsumption_resolution,[status(thm)],[c_158866,c_159027]) ).

cnf(c_159281,plain,
    multiply(sk_c8,X0) = X0,
    inference(backward_subsumption_resolution,[status(thm)],[c_158892,c_159028]) ).

cnf(c_159289,plain,
    multiply(X0,inverse(multiply(sk_c10,X0))) = multiply(sk_c2,identity),
    inference(backward_subsumption_resolution,[status(thm)],[c_82692,c_159028]) ).

cnf(c_159290,plain,
    multiply(sk_c2,identity) = inverse(sk_c10),
    inference(backward_subsumption_resolution,[status(thm)],[c_82688,c_159028]) ).

cnf(c_159291,plain,
    inverse(multiply(sk_c2,sk_c10)) = identity,
    inference(backward_subsumption_resolution,[status(thm)],[c_82702,c_159028]) ).

cnf(c_159295,plain,
    inverse(sk_c10) = identity,
    inference(light_normalisation,[status(thm)],[c_159291,c_159007]) ).

cnf(c_159339,plain,
    multiply(sk_c11,multiply(X0,inverse(multiply(sk_c10,X0)))) = multiply(sk_c8,identity),
    inference(backward_subsumption_resolution,[status(thm)],[c_156212,c_159033]) ).

cnf(c_159341,plain,
    multiply(sk_c11,identity) = multiply(sk_c8,sk_c10),
    inference(backward_subsumption_resolution,[status(thm)],[c_156210,c_159033]) ).

cnf(c_159531,plain,
    multiply(sk_c11,identity) = multiply(sk_c8,identity),
    inference(light_normalisation,[status(thm)],[c_159339,c_159289,c_159290,c_159295]) ).

cnf(c_159532,plain,
    multiply(sk_c11,identity) = identity,
    inference(demodulation,[status(thm)],[c_159531,c_159281]) ).

cnf(c_159534,plain,
    multiply(sk_c8,sk_c10) = identity,
    inference(light_normalisation,[status(thm)],[c_159341,c_159532]) ).

cnf(c_159535,plain,
    sk_c10 = identity,
    inference(demodulation,[status(thm)],[c_159534,c_159281]) ).

cnf(c_159536,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_159535,c_159028]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem  : GRP340-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.32  % Computer : n007.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Thu May  2 23:55:35 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 88.49/12.73  % SZS status Started for theBenchmark.p
% 88.49/12.73  % SZS status Unsatisfiable for theBenchmark.p
% 88.49/12.73  
% 88.49/12.73  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 88.49/12.73  
% 88.49/12.73  ------  iProver source info
% 88.49/12.73  
% 88.49/12.73  git: date: 2024-05-02 19:28:25 +0000
% 88.49/12.73  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 88.49/12.73  git: non_committed_changes: false
% 88.49/12.73  
% 88.49/12.73  ------ Parsing...successful
% 88.49/12.73  
% 88.49/12.73  
% 88.49/12.73  
% 88.49/12.73  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 88.49/12.73  
% 88.49/12.73  ------ Preprocessing... gs_s  sp: 5 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 88.49/12.73  
% 88.49/12.73  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 88.49/12.73  ------ Proving...
% 88.49/12.73  ------ Problem Properties 
% 88.49/12.73  
% 88.49/12.73  
% 88.49/12.73  clauses                                 59
% 88.49/12.73  conjectures                             56
% 88.49/12.73  EPR                                     0
% 88.49/12.73  Horn                                    8
% 88.49/12.73  unary                                   3
% 88.49/12.73  binary                                  50
% 88.49/12.73  lits                                    126
% 88.49/12.73  lits eq                                 116
% 88.49/12.73  fd_pure                                 0
% 88.49/12.73  fd_pseudo                               0
% 88.49/12.73  fd_cond                                 0
% 88.49/12.73  fd_pseudo_cond                          0
% 88.49/12.73  AC symbols                              0
% 88.49/12.73  
% 88.49/12.73  ------ Input Options Time Limit: Unbounded
% 88.49/12.73  
% 88.49/12.73  
% 88.49/12.73  ------ 
% 88.49/12.73  Current options:
% 88.49/12.73  ------ 
% 88.49/12.73  
% 88.49/12.73  
% 88.49/12.73  
% 88.49/12.73  
% 88.49/12.73  ------ Proving...
% 88.49/12.73  
% 88.49/12.73  
% 88.49/12.73  % SZS status Unsatisfiable for theBenchmark.p
% 88.49/12.73  
% 88.49/12.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 88.49/12.74  
% 88.49/12.74  
%------------------------------------------------------------------------------