TSTP Solution File: GRP325-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP325-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 02:22:11 EDT 2024

% Result   : Unsatisfiable 39.96s 6.22s
% Output   : CNFRefutation 39.96s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    multiply(sk_c9,sk_c10) = sk_c8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_50,negated_conjecture,
    ( multiply(sk_c1,sk_c9) = sk_c10
    | multiply(sk_c4,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

cnf(c_51,negated_conjecture,
    ( multiply(sk_c1,sk_c9) = sk_c10
    | inverse(sk_c4) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,negated_conjecture,
    ( multiply(sk_c1,sk_c9) = sk_c10
    | inverse(sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c10,sk_c8) = sk_c9
    | multiply(sk_c1,sk_c9) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_54,negated_conjecture,
    ( multiply(sk_c1,sk_c9) = sk_c10
    | inverse(sk_c5) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_55,negated_conjecture,
    ( multiply(sk_c1,sk_c9) = sk_c10
    | multiply(sk_c5,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( multiply(sk_c1,sk_c9) = sk_c10
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( multiply(sk_c1,sk_c9) = sk_c10
    | inverse(sk_c6) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( multiply(sk_c1,sk_c9) = sk_c10
    | multiply(sk_c7,sk_c10) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( inverse(sk_c1) = sk_c9
    | inverse(sk_c4) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,negated_conjecture,
    ( inverse(sk_c9) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

cnf(c_62,negated_conjecture,
    ( multiply(sk_c10,sk_c8) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( inverse(sk_c1) = sk_c9
    | inverse(sk_c5) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( inverse(sk_c1) = sk_c9
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( inverse(sk_c1) = sk_c9
    | inverse(sk_c6) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,negated_conjecture,
    ( multiply(sk_c7,sk_c10) = sk_c6
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_68,negated_conjecture,
    ( multiply(sk_c10,sk_c3) = sk_c9
    | multiply(sk_c4,sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c10,sk_c3) = sk_c9
    | inverse(sk_c4) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( multiply(sk_c10,sk_c3) = sk_c9
    | inverse(sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_71,negated_conjecture,
    ( multiply(sk_c10,sk_c8) = sk_c9
    | multiply(sk_c10,sk_c3) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

cnf(c_72,negated_conjecture,
    ( multiply(sk_c10,sk_c3) = sk_c9
    | inverse(sk_c5) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c10,sk_c3) = sk_c9
    | multiply(sk_c5,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( multiply(sk_c10,sk_c3) = sk_c9
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( multiply(sk_c10,sk_c3) = sk_c9
    | inverse(sk_c6) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,negated_conjecture,
    ( multiply(sk_c10,sk_c3) = sk_c9
    | multiply(sk_c7,sk_c10) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

cnf(c_77,negated_conjecture,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | multiply(sk_c2,sk_c10) = sk_c3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

cnf(c_78,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c3
    | inverse(sk_c4) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

cnf(c_79,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c3
    | inverse(sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(c_80,negated_conjecture,
    ( multiply(sk_c10,sk_c8) = sk_c9
    | multiply(sk_c2,sk_c10) = sk_c3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

cnf(c_81,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c3
    | inverse(sk_c5) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

cnf(c_82,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c9
    | multiply(sk_c2,sk_c10) = sk_c3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

cnf(c_83,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c3
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

cnf(c_84,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c3
    | inverse(sk_c6) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

cnf(c_85,negated_conjecture,
    ( multiply(sk_c7,sk_c10) = sk_c6
    | multiply(sk_c2,sk_c10) = sk_c3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

cnf(c_86,negated_conjecture,
    ( multiply(sk_c4,sk_c10) = sk_c9
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).

cnf(c_87,negated_conjecture,
    ( inverse(sk_c4) = sk_c10
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).

cnf(c_88,negated_conjecture,
    ( inverse(sk_c9) = sk_c8
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).

cnf(c_89,negated_conjecture,
    ( multiply(sk_c10,sk_c8) = sk_c9
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).

cnf(c_90,negated_conjecture,
    ( inverse(sk_c5) = sk_c9
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).

cnf(c_91,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c9
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).

cnf(c_92,negated_conjecture,
    ( inverse(sk_c7) = sk_c6
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).

cnf(c_93,negated_conjecture,
    ( inverse(sk_c6) = sk_c10
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).

cnf(c_94,negated_conjecture,
    ( multiply(sk_c7,sk_c10) = sk_c6
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).

cnf(c_95,negated_conjecture,
    ( multiply(X0,sk_c9) != sk_c10
    | multiply(X1,sk_c10) != X2
    | multiply(X3,sk_c10) != sk_c9
    | multiply(X4,sk_c8) != sk_c9
    | multiply(X5,sk_c10) != X6
    | multiply(sk_c10,X2) != sk_c9
    | multiply(sk_c9,sk_c10) != sk_c8
    | multiply(sk_c10,sk_c8) != sk_c9
    | inverse(X0) != sk_c9
    | inverse(X1) != sk_c10
    | inverse(X3) != sk_c10
    | inverse(X4) != sk_c9
    | inverse(X5) != X6
    | inverse(X6) != sk_c10
    | inverse(sk_c9) != sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).

cnf(c_96,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_97,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_98,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_99,negated_conjecture,
    ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
    | inverse(multiply(X1,sk_c10)) != sk_c10
    | multiply(X2,sk_c9) != sk_c10
    | multiply(X3,sk_c10) != sk_c9
    | multiply(X4,sk_c8) != sk_c9
    | multiply(sk_c9,sk_c10) != sk_c8
    | multiply(sk_c10,sk_c8) != sk_c9
    | inverse(X0) != sk_c10
    | inverse(X1) != multiply(X1,sk_c10)
    | inverse(X2) != sk_c9
    | inverse(X3) != sk_c10
    | inverse(X4) != sk_c9
    | inverse(sk_c9) != sk_c8 ),
    inference(unflattening,[status(thm)],[c_95]) ).

cnf(c_100,plain,
    multiply(identity,sk_c10) = sk_c10,
    inference(instantiation,[status(thm)],[c_96]) ).

cnf(c_101,plain,
    multiply(inverse(sk_c10),sk_c10) = identity,
    inference(instantiation,[status(thm)],[c_97]) ).

cnf(c_104,plain,
    ( multiply(X4,sk_c8) != sk_c9
    | multiply(X3,sk_c10) != sk_c9
    | multiply(X2,sk_c9) != sk_c10
    | inverse(multiply(X1,sk_c10)) != sk_c10
    | multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
    | multiply(sk_c10,sk_c8) != sk_c9
    | inverse(X0) != sk_c10
    | inverse(X1) != multiply(X1,sk_c10)
    | inverse(X2) != sk_c9
    | inverse(X3) != sk_c10
    | inverse(X4) != sk_c9
    | inverse(sk_c9) != sk_c8 ),
    inference(global_subsumption_just,[status(thm)],[c_99,c_49,c_99]) ).

cnf(c_105,negated_conjecture,
    ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
    | inverse(multiply(X1,sk_c10)) != sk_c10
    | multiply(X2,sk_c9) != sk_c10
    | multiply(X3,sk_c10) != sk_c9
    | multiply(X4,sk_c8) != sk_c9
    | multiply(sk_c10,sk_c8) != sk_c9
    | inverse(X0) != sk_c10
    | inverse(X1) != multiply(X1,sk_c10)
    | inverse(X2) != sk_c9
    | inverse(X3) != sk_c10
    | inverse(X4) != sk_c9
    | inverse(sk_c9) != sk_c8 ),
    inference(renaming,[status(thm)],[c_104]) ).

cnf(c_525,negated_conjecture,
    ( multiply(X0,sk_c9) != sk_c10
    | inverse(X0) != sk_c9
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_105]) ).

cnf(c_526,negated_conjecture,
    ( multiply(X0,sk_c10) != sk_c9
    | inverse(X0) != sk_c10
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_105]) ).

cnf(c_527,negated_conjecture,
    ( inverse(X0) != multiply(X0,sk_c10)
    | inverse(multiply(X0,sk_c10)) != sk_c10
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_105]) ).

cnf(c_528,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c9
    | inverse(X0) != sk_c9
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_105]) ).

cnf(c_529,negated_conjecture,
    ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
    | inverse(X0) != sk_c10
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_105]) ).

cnf(c_530,negated_conjecture,
    ( multiply(sk_c10,sk_c8) != sk_c9
    | inverse(sk_c9) != sk_c8
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_105]) ).

cnf(c_531,plain,
    multiply(sk_c10,sk_c8) = sP5_iProver_def,
    definition ).

cnf(c_532,plain,
    inverse(sk_c9) = sP6_iProver_def,
    definition ).

cnf(c_533,plain,
    multiply(sk_c7,sk_c10) = sP7_iProver_def,
    definition ).

cnf(c_534,plain,
    inverse(sk_c2) = sP8_iProver_def,
    definition ).

cnf(c_535,plain,
    inverse(sk_c6) = sP9_iProver_def,
    definition ).

cnf(c_536,plain,
    inverse(sk_c7) = sP10_iProver_def,
    definition ).

cnf(c_537,plain,
    multiply(sk_c5,sk_c8) = sP11_iProver_def,
    definition ).

cnf(c_538,plain,
    inverse(sk_c5) = sP12_iProver_def,
    definition ).

cnf(c_539,plain,
    inverse(sk_c4) = sP13_iProver_def,
    definition ).

cnf(c_540,plain,
    multiply(sk_c4,sk_c10) = sP14_iProver_def,
    definition ).

cnf(c_541,plain,
    multiply(sk_c2,sk_c10) = sP15_iProver_def,
    definition ).

cnf(c_542,plain,
    multiply(sk_c10,sk_c3) = sP16_iProver_def,
    definition ).

cnf(c_543,plain,
    inverse(sk_c1) = sP17_iProver_def,
    definition ).

cnf(c_544,plain,
    multiply(sk_c1,sk_c9) = sP18_iProver_def,
    definition ).

cnf(c_545,plain,
    multiply(sk_c9,sk_c10) = sP19_iProver_def,
    definition ).

cnf(c_546,negated_conjecture,
    ( sP5_iProver_def != sk_c9
    | sP6_iProver_def != sk_c8
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_530,c_532,c_531]) ).

cnf(c_547,negated_conjecture,
    ( multiply(sk_c10,multiply(X0,sk_c10)) != sk_c9
    | inverse(X0) != sk_c10
    | ~ sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_529]) ).

cnf(c_548,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c9
    | inverse(X0) != sk_c9
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_528]) ).

cnf(c_549,negated_conjecture,
    ( inverse(multiply(X0,sk_c10)) != sk_c10
    | inverse(X0) != multiply(X0,sk_c10)
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_527]) ).

cnf(c_550,negated_conjecture,
    ( multiply(X0,sk_c10) != sk_c9
    | inverse(X0) != sk_c10
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_526]) ).

cnf(c_551,negated_conjecture,
    ( multiply(X0,sk_c9) != sk_c10
    | inverse(X0) != sk_c9
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_525]) ).

cnf(c_552,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP8_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_94,c_534,c_533]) ).

cnf(c_553,negated_conjecture,
    ( sP8_iProver_def = sk_c10
    | sP9_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_93,c_535]) ).

cnf(c_554,negated_conjecture,
    ( sP8_iProver_def = sk_c10
    | sP10_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_92,c_536]) ).

cnf(c_555,negated_conjecture,
    ( sP8_iProver_def = sk_c10
    | sP11_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_91,c_537]) ).

cnf(c_556,negated_conjecture,
    ( sP8_iProver_def = sk_c10
    | sP12_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_90,c_538]) ).

cnf(c_557,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP8_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_89]) ).

cnf(c_558,negated_conjecture,
    ( sP6_iProver_def = sk_c8
    | sP8_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_88]) ).

cnf(c_559,negated_conjecture,
    ( sP8_iProver_def = sk_c10
    | sP13_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_87,c_539]) ).

cnf(c_560,negated_conjecture,
    ( sP8_iProver_def = sk_c10
    | sP14_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_86,c_540]) ).

cnf(c_561,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP15_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_85,c_541]) ).

cnf(c_562,negated_conjecture,
    ( sP9_iProver_def = sk_c10
    | sP15_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_84]) ).

cnf(c_563,negated_conjecture,
    ( sP10_iProver_def = sk_c6
    | sP15_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_83]) ).

cnf(c_564,negated_conjecture,
    ( sP11_iProver_def = sk_c9
    | sP15_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_82]) ).

cnf(c_565,negated_conjecture,
    ( sP12_iProver_def = sk_c9
    | sP15_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_81]) ).

cnf(c_566,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP15_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_80]) ).

cnf(c_567,negated_conjecture,
    ( sP6_iProver_def = sk_c8
    | sP15_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_79]) ).

cnf(c_568,negated_conjecture,
    ( sP13_iProver_def = sk_c10
    | sP15_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_78]) ).

cnf(c_569,negated_conjecture,
    ( sP14_iProver_def = sk_c9
    | sP15_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_77]) ).

cnf(c_570,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_76,c_542]) ).

cnf(c_571,negated_conjecture,
    ( sP9_iProver_def = sk_c10
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_75]) ).

cnf(c_572,negated_conjecture,
    ( sP10_iProver_def = sk_c6
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_74]) ).

cnf(c_573,negated_conjecture,
    ( sP11_iProver_def = sk_c9
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_73]) ).

cnf(c_574,negated_conjecture,
    ( sP12_iProver_def = sk_c9
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_72]) ).

cnf(c_575,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_71]) ).

cnf(c_576,negated_conjecture,
    ( sP6_iProver_def = sk_c8
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_70]) ).

cnf(c_577,negated_conjecture,
    ( sP13_iProver_def = sk_c10
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_69]) ).

cnf(c_578,negated_conjecture,
    ( sP14_iProver_def = sk_c9
    | sP16_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_68]) ).

cnf(c_579,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP17_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_67,c_543]) ).

cnf(c_580,negated_conjecture,
    ( sP9_iProver_def = sk_c10
    | sP17_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_66]) ).

cnf(c_581,negated_conjecture,
    ( sP10_iProver_def = sk_c6
    | sP17_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_582,negated_conjecture,
    ( sP11_iProver_def = sk_c9
    | sP17_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_583,negated_conjecture,
    ( sP12_iProver_def = sk_c9
    | sP17_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_584,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP17_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_585,negated_conjecture,
    ( sP6_iProver_def = sk_c8
    | sP17_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_586,negated_conjecture,
    ( sP13_iProver_def = sk_c10
    | sP17_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_587,negated_conjecture,
    ( sP14_iProver_def = sk_c9
    | sP17_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_588,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP18_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_58,c_544]) ).

cnf(c_589,negated_conjecture,
    ( sP9_iProver_def = sk_c10
    | sP18_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_590,negated_conjecture,
    ( sP10_iProver_def = sk_c6
    | sP18_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_591,negated_conjecture,
    ( sP11_iProver_def = sk_c9
    | sP18_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_592,negated_conjecture,
    ( sP12_iProver_def = sk_c9
    | sP18_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_593,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP18_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_594,negated_conjecture,
    ( sP6_iProver_def = sk_c8
    | sP18_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_595,negated_conjecture,
    ( sP13_iProver_def = sk_c10
    | sP18_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_596,negated_conjecture,
    ( sP14_iProver_def = sk_c9
    | sP18_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_597,negated_conjecture,
    sP19_iProver_def = sk_c8,
    inference(demodulation,[status(thm)],[c_49,c_545]) ).

cnf(c_598,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_599,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_600,plain,
    ( X0 != X1
    | X2 != X3
    | multiply(X0,X2) = multiply(X1,X3) ),
    theory(equality) ).

cnf(c_601,plain,
    ( X0 != X1
    | inverse(X0) = inverse(X1) ),
    theory(equality) ).

cnf(c_603,plain,
    ( sk_c10 != sk_c10
    | inverse(sk_c10) = inverse(sk_c10) ),
    inference(instantiation,[status(thm)],[c_601]) ).

cnf(c_604,plain,
    sk_c10 = sk_c10,
    inference(instantiation,[status(thm)],[c_598]) ).

cnf(c_900,plain,
    ( sk_c10 = sP8_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_552,c_554]) ).

cnf(c_912,plain,
    ( sk_c10 = sP8_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_555,c_556]) ).

cnf(c_922,plain,
    ( sk_c10 = sP8_iProver_def
    | sP5_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_557,c_556]) ).

cnf(c_928,plain,
    ( sk_c10 = sP8_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_558,c_597]) ).

cnf(c_935,plain,
    multiply(sk_c10,sP19_iProver_def) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_531,c_597]) ).

cnf(c_965,plain,
    ( sk_c10 = sP8_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_559,c_553]) ).

cnf(c_978,plain,
    ( sk_c10 = sP8_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_560,c_557]) ).

cnf(c_1011,plain,
    ( sk_c3 = sP15_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_563,c_561]) ).

cnf(c_1039,plain,
    multiply(sk_c5,sP19_iProver_def) = sP11_iProver_def,
    inference(light_normalisation,[status(thm)],[c_537,c_597]) ).

cnf(c_1040,plain,
    ( multiply(sk_c4,sP13_iProver_def) = sP14_iProver_def
    | sk_c10 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_559,c_540]) ).

cnf(c_1059,plain,
    ( multiply(sP8_iProver_def,sk_c3) = sP16_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_928,c_542]) ).

cnf(c_1112,plain,
    multiply(sP13_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_539,c_97]) ).

cnf(c_1113,plain,
    multiply(sP6_iProver_def,sk_c9) = identity,
    inference(superposition,[status(thm)],[c_532,c_97]) ).

cnf(c_1114,plain,
    multiply(sP12_iProver_def,sk_c5) = identity,
    inference(superposition,[status(thm)],[c_538,c_97]) ).

cnf(c_1116,plain,
    multiply(sP9_iProver_def,sk_c6) = identity,
    inference(superposition,[status(thm)],[c_535,c_97]) ).

cnf(c_1117,plain,
    multiply(sP17_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_543,c_97]) ).

cnf(c_1118,plain,
    multiply(sP8_iProver_def,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_534,c_97]) ).

cnf(c_1119,plain,
    ( sk_c3 = sP15_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_567,c_597]) ).

cnf(c_1127,plain,
    ( inverse(X0) != X1
    | sk_c9 != X1
    | inverse(X0) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_1128,plain,
    ( inverse(sk_c10) != sk_c10
    | sk_c9 != sk_c10
    | inverse(sk_c10) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1127]) ).

cnf(c_1140,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | inverse(X0) = X2 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_1141,plain,
    ( inverse(X0) != inverse(X1)
    | sk_c9 != inverse(X1)
    | inverse(X0) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1127]) ).

cnf(c_1148,plain,
    ( inverse(sk_c1) != sP17_iProver_def
    | sk_c9 != sP17_iProver_def
    | inverse(sk_c1) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1127]) ).

cnf(c_1163,plain,
    ( inverse(sP7_iProver_def) = sP9_iProver_def
    | sk_c9 = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_570,c_535]) ).

cnf(c_1176,plain,
    ( multiply(sk_c1,sP16_iProver_def) = sP18_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_571,c_544]) ).

cnf(c_1207,plain,
    ( sk_c9 = sP16_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_572,c_570]) ).

cnf(c_1224,plain,
    ( multiply(sk_c1,sP16_iProver_def) = sP18_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_573,c_544]) ).

cnf(c_1261,plain,
    ( multiply(sk_c1,sP16_iProver_def) = sP18_iProver_def
    | sk_c9 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_574,c_544]) ).

cnf(c_1293,plain,
    ( inverse(X0) != inverse(X1)
    | X2 != inverse(X1)
    | inverse(X0) = X2 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_1295,plain,
    ( inverse(sk_c9) != sP6_iProver_def
    | X0 != sP6_iProver_def
    | inverse(sk_c9) = X0 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_1297,plain,
    ( inverse(sk_c2) != sP8_iProver_def
    | X0 != sP8_iProver_def
    | inverse(sk_c2) = X0 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_1298,plain,
    ( inverse(sk_c2) != sP8_iProver_def
    | sk_c10 != sP8_iProver_def
    | inverse(sk_c2) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_1297]) ).

cnf(c_1299,plain,
    ( inverse(sk_c6) != sP9_iProver_def
    | X0 != sP9_iProver_def
    | inverse(sk_c6) = X0 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_1301,plain,
    ( inverse(sk_c7) != sP10_iProver_def
    | X0 != sP10_iProver_def
    | inverse(sk_c7) = X0 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_1303,plain,
    ( inverse(sk_c5) != sP12_iProver_def
    | X0 != sP12_iProver_def
    | inverse(sk_c5) = X0 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_1305,plain,
    ( inverse(sk_c4) != sP13_iProver_def
    | X0 != sP13_iProver_def
    | inverse(sk_c4) = X0 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_1306,plain,
    ( inverse(sk_c4) != sP13_iProver_def
    | sk_c10 != sP13_iProver_def
    | inverse(sk_c4) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_1305]) ).

cnf(c_1307,plain,
    ( inverse(sk_c1) != sP17_iProver_def
    | X0 != sP17_iProver_def
    | inverse(sk_c1) = X0 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_1327,plain,
    ( multiply(sk_c1,sP16_iProver_def) = sP18_iProver_def
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_575,c_544]) ).

cnf(c_1351,plain,
    ( sk_c9 = sP16_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_576,c_597]) ).

cnf(c_1360,plain,
    ( multiply(sP16_iProver_def,sk_c10) = sP19_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_1351,c_545]) ).

cnf(c_1363,plain,
    ( inverse(sP16_iProver_def) = sP6_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_1351,c_532]) ).

cnf(c_1409,plain,
    ( multiply(sk_c5,sk_c9) != sk_c10
    | inverse(sk_c5) != sk_c9
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_551]) ).

cnf(c_1426,plain,
    ( multiply(sk_c1,sP16_iProver_def) = sP18_iProver_def
    | sk_c9 = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_578,c_544]) ).

cnf(c_1450,plain,
    ( sk_c9 != X0
    | sP17_iProver_def != X0
    | sk_c9 = sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_1452,plain,
    ( inverse(X0) != X1
    | sk_c9 != X1
    | sk_c9 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_1461,plain,
    ( sk_c9 != X0
    | sP6_iProver_def != X0
    | sk_c9 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_1514,plain,
    ( sk_c9 != X0
    | sP9_iProver_def != X0
    | sk_c9 = sP9_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_1523,plain,
    ( X0 != X1
    | sP6_iProver_def != X1
    | X0 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_1529,plain,
    ( X0 != X1
    | sP8_iProver_def != X1
    | X0 = sP8_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_1560,plain,
    ( inverse(sk_c6) != sP9_iProver_def
    | sP8_iProver_def != sP9_iProver_def
    | inverse(sk_c6) = sP8_iProver_def ),
    inference(instantiation,[status(thm)],[c_1299]) ).

cnf(c_1585,plain,
    ( multiply(sP17_iProver_def,sk_c10) = sP19_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_580,c_545]) ).

cnf(c_1586,plain,
    ( multiply(sk_c1,sP17_iProver_def) = sP18_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_580,c_544]) ).

cnf(c_1637,plain,
    ( sk_c9 = sP17_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_581,c_579]) ).

cnf(c_1669,plain,
    ( sk_c9 = sP11_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_582,c_573]) ).

cnf(c_1672,plain,
    ( multiply(sk_c1,sP17_iProver_def) = sP18_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_582,c_544]) ).

cnf(c_1715,plain,
    ( X0 != X1
    | sP12_iProver_def != X1
    | X0 = sP12_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_1721,plain,
    ( inverse(sk_c4) != X0
    | X1 != X0
    | inverse(sk_c4) = X1 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_1753,plain,
    ( sk_c9 = sP12_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_583,c_574]) ).

cnf(c_1813,plain,
    ( sk_c9 = sP5_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_584,c_575]) ).

cnf(c_1818,plain,
    ( multiply(sk_c1,sP17_iProver_def) = sP18_iProver_def
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_584,c_544]) ).

cnf(c_1858,plain,
    ( X0 != X1
    | sP17_iProver_def != X1
    | X0 = sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_1865,plain,
    ( sk_c9 = sP17_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_585,c_597]) ).

cnf(c_1884,plain,
    ( sP6_iProver_def = sP19_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_1865,c_1351]) ).

cnf(c_1889,plain,
    ( multiply(sP17_iProver_def,sk_c10) = sP19_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_1865,c_545]) ).

cnf(c_1911,plain,
    ( inverse(sk_c2) != X0
    | X1 != X0
    | inverse(sk_c2) = X1 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_1920,plain,
    ( inverse(sk_c5) != sP12_iProver_def
    | inverse(sk_c2) != sP12_iProver_def
    | inverse(sk_c5) = inverse(sk_c2) ),
    inference(instantiation,[status(thm)],[c_1303]) ).

cnf(c_1940,plain,
    ( sk_c10 = sP13_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_586,c_577]) ).

cnf(c_1946,plain,
    ( multiply(sP17_iProver_def,sk_c10) = sP19_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_586,c_545]) ).

cnf(c_1991,plain,
    ( sk_c9 = sP14_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_587,c_578]) ).

cnf(c_2028,plain,
    ( multiply(sk_c1,sk_c9) != sk_c10
    | inverse(sk_c1) != sk_c9
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_551]) ).

cnf(c_2062,plain,
    ( X0 != X1
    | sk_c9 != X1
    | X0 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_2160,plain,
    sk_c9 = sk_c9,
    inference(instantiation,[status(thm)],[c_598]) ).

cnf(c_2162,plain,
    ( X0 != X1
    | sk_c9 != X1
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_2163,plain,
    ( inverse(X0) != sP17_iProver_def
    | sk_c9 != sP17_iProver_def
    | sk_c9 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_1452]) ).

cnf(c_2198,plain,
    multiply(identity,inverse(X0)) = inverse(X0),
    inference(instantiation,[status(thm)],[c_96]) ).

cnf(c_2200,plain,
    multiply(identity,inverse(sk_c10)) = inverse(sk_c10),
    inference(instantiation,[status(thm)],[c_2198]) ).

cnf(c_2202,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | X2 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_2204,plain,
    ( inverse(X0) != inverse(X1)
    | inverse(X2) != inverse(X1)
    | inverse(X0) = inverse(X2) ),
    inference(instantiation,[status(thm)],[c_1293]) ).

cnf(c_2218,plain,
    ( sk_c10 = sP18_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_590,c_588]) ).

cnf(c_2268,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP18_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_591,c_544]) ).

cnf(c_2332,plain,
    ( multiply(sk_c1,sk_c9) != X0
    | sk_c10 != X0
    | multiply(sk_c1,sk_c9) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_2333,plain,
    ( inverse(sk_c5) != sP5_iProver_def
    | X0 != sP5_iProver_def
    | inverse(sk_c5) = X0 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_2336,plain,
    ( inverse(sk_c5) != sP11_iProver_def
    | X0 != sP11_iProver_def
    | inverse(sk_c5) = X0 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_2338,plain,
    ( inverse(sk_c5) != sP11_iProver_def
    | sk_c10 != sP11_iProver_def
    | inverse(sk_c5) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_2336]) ).

cnf(c_2394,plain,
    ( sk_c10 = sP18_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_592,c_591]) ).

cnf(c_2411,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP18_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_592,c_544]) ).

cnf(c_2570,plain,
    ( sk_c10 = sP18_iProver_def
    | sP5_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_593,c_592]) ).

cnf(c_2588,plain,
    ( multiply(sk_c1,sP5_iProver_def) = sP18_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_593,c_544]) ).

cnf(c_2763,plain,
    ( sk_c10 = sP18_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_594,c_597]) ).

cnf(c_2778,plain,
    ( sP6_iProver_def = sP19_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_2763,c_928]) ).

cnf(c_2804,plain,
    ( multiply(sk_c9,sP18_iProver_def) = sP19_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_595,c_545]) ).

cnf(c_2886,plain,
    ( sk_c10 = sP18_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_596,c_593]) ).

cnf(c_2905,plain,
    ( multiply(sk_c1,sP14_iProver_def) = sP18_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_596,c_544]) ).

cnf(c_3021,plain,
    ( sk_c9 != sP5_iProver_def
    | sP6_iProver_def != sP19_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_546,c_597]) ).

cnf(c_3041,plain,
    ( multiply(X0,sP19_iProver_def) != sk_c9
    | inverse(X0) != sk_c9
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_548,c_597]) ).

cnf(c_3050,plain,
    ( inverse(sk_c10) != sk_c9
    | sk_c9 != sP5_iProver_def
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_935,c_3041]) ).

cnf(c_3051,plain,
    ( inverse(sk_c5) != sk_c9
    | sk_c9 != sP11_iProver_def
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_1039,c_3041]) ).

cnf(c_3052,plain,
    ( sk_c9 != sP11_iProver_def
    | sk_c9 != sP12_iProver_def
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3051,c_538]) ).

cnf(c_3079,plain,
    ( inverse(sk_c4) != sk_c10
    | sk_c9 != sP14_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_540,c_550]) ).

cnf(c_3082,plain,
    ( inverse(identity) != sk_c10
    | sk_c9 != sk_c10
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_96,c_550]) ).

cnf(c_3101,plain,
    ( sk_c9 != sP14_iProver_def
    | sk_c10 != sP13_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3079,c_539]) ).

cnf(c_3220,plain,
    ( inverse(sk_c1) != sk_c9
    | sk_c10 != sP18_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_544,c_551]) ).

cnf(c_3223,plain,
    ( inverse(sP6_iProver_def) != sk_c9
    | sk_c10 != identity
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_1113,c_551]) ).

cnf(c_3224,plain,
    ( multiply(X0,sP14_iProver_def) != sk_c10
    | inverse(X0) != sk_c9
    | ~ sP0_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_596,c_551]) ).

cnf(c_3252,plain,
    ( sk_c9 != sP17_iProver_def
    | sk_c10 != sP18_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3220,c_543]) ).

cnf(c_3366,plain,
    ( multiply(sk_c10,sP14_iProver_def) != sk_c10
    | inverse(sk_c10) != sk_c9
    | ~ sP0_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(instantiation,[status(thm)],[c_3224]) ).

cnf(c_3371,plain,
    ( sk_c9 != sk_c9
    | sP17_iProver_def != sk_c9
    | sk_c9 = sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_1450]) ).

cnf(c_3374,plain,
    ( X0 != X1
    | sP6_iProver_def != X1
    | sP6_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_3375,plain,
    ( X0 != sk_c8
    | sP6_iProver_def != sk_c8
    | X0 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_1523]) ).

cnf(c_3379,plain,
    ( inverse(X0) != sP8_iProver_def
    | X1 != sP8_iProver_def
    | inverse(X0) = X1 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_3389,plain,
    ( sP6_iProver_def != X0
    | sP8_iProver_def != X0
    | sP6_iProver_def = sP8_iProver_def ),
    inference(instantiation,[status(thm)],[c_1529]) ).

cnf(c_3390,plain,
    ( X0 != sP8_iProver_def
    | sP6_iProver_def != sP8_iProver_def
    | X0 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_1523]) ).

cnf(c_3392,plain,
    ( sk_c10 != sP8_iProver_def
    | sP6_iProver_def != sP8_iProver_def
    | sk_c10 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_3390]) ).

cnf(c_3426,plain,
    ( X0 != X1
    | sP12_iProver_def != X1
    | sP12_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_3445,plain,
    ( multiply(sk_c10,sP19_iProver_def) != sk_c9
    | inverse(sk_c9) != sk_c10
    | ~ sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_545,c_547]) ).

cnf(c_3449,plain,
    ( multiply(sk_c10,sk_c10) != sk_c9
    | inverse(identity) != sk_c10
    | ~ sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_96,c_547]) ).

cnf(c_3450,plain,
    ( multiply(sk_c10,identity) != sk_c9
    | inverse(inverse(sk_c10)) != sk_c10
    | ~ sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_97,c_547]) ).

cnf(c_3472,plain,
    ( sk_c9 != sP5_iProver_def
    | sk_c10 != sP6_iProver_def
    | ~ sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3445,c_532,c_935]) ).

cnf(c_3526,plain,
    ( X0 != sk_c9
    | sk_c9 != sk_c9
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_2162]) ).

cnf(c_3554,plain,
    ( inverse(multiply(sk_c7,sk_c10)) != sk_c10
    | inverse(sk_c7) != sP7_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_533,c_549]) ).

cnf(c_3556,plain,
    ( inverse(multiply(identity,sk_c10)) != sk_c10
    | inverse(identity) != sk_c10
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_96,c_549]) ).

cnf(c_3571,plain,
    ( inverse(sP7_iProver_def) != sk_c10
    | sP7_iProver_def != sP10_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3554,c_533,c_536]) ).

cnf(c_3620,plain,
    ( inverse(X0) != inverse(X1)
    | X2 != inverse(X1)
    | X2 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_2202]) ).

cnf(c_3621,plain,
    ( inverse(sk_c9) != sP6_iProver_def
    | X0 != sP6_iProver_def
    | X0 = inverse(sk_c9) ),
    inference(instantiation,[status(thm)],[c_2202]) ).

cnf(c_3623,plain,
    ( inverse(sk_c2) != sP8_iProver_def
    | X0 != sP8_iProver_def
    | X0 = inverse(sk_c2) ),
    inference(instantiation,[status(thm)],[c_2202]) ).

cnf(c_3624,plain,
    ( inverse(sk_c2) != sP8_iProver_def
    | sk_c10 != sP8_iProver_def
    | sk_c10 = inverse(sk_c2) ),
    inference(instantiation,[status(thm)],[c_3623]) ).

cnf(c_3625,plain,
    ( inverse(sk_c6) != sP9_iProver_def
    | X0 != sP9_iProver_def
    | X0 = inverse(sk_c6) ),
    inference(instantiation,[status(thm)],[c_2202]) ).

cnf(c_3626,plain,
    ( inverse(sk_c6) != sP9_iProver_def
    | sk_c10 != sP9_iProver_def
    | sk_c10 = inverse(sk_c6) ),
    inference(instantiation,[status(thm)],[c_3625]) ).

cnf(c_3629,plain,
    ( inverse(sk_c5) != sP12_iProver_def
    | X0 != sP12_iProver_def
    | X0 = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_2202]) ).

cnf(c_3633,plain,
    ( inverse(sk_c1) != sP17_iProver_def
    | X0 != sP17_iProver_def
    | X0 = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_2202]) ).

cnf(c_3638,plain,
    ( inverse(sk_c2) != X0
    | X1 != X0
    | X1 = inverse(sk_c2) ),
    inference(instantiation,[status(thm)],[c_2202]) ).

cnf(c_3640,plain,
    ( inverse(sk_c6) != X0
    | X1 != X0
    | X1 = inverse(sk_c6) ),
    inference(instantiation,[status(thm)],[c_2202]) ).

cnf(c_3641,plain,
    ( inverse(sk_c6) != sk_c10
    | sk_c10 != sk_c10
    | sk_c10 = inverse(sk_c6) ),
    inference(instantiation,[status(thm)],[c_3640]) ).

cnf(c_3683,plain,
    ( multiply(sP8_iProver_def,sk_c3) = sP16_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_900,c_542]) ).

cnf(c_3688,plain,
    ( multiply(sP8_iProver_def,sP19_iProver_def) = sP5_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_900,c_935]) ).

cnf(c_3747,plain,
    multiply(sk_c9,multiply(sk_c10,X0)) = multiply(sP19_iProver_def,X0),
    inference(superposition,[status(thm)],[c_545,c_98]) ).

cnf(c_3748,plain,
    multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sP18_iProver_def,X0),
    inference(superposition,[status(thm)],[c_544,c_98]) ).

cnf(c_3754,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_97,c_98]) ).

cnf(c_3758,plain,
    multiply(sP13_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1112,c_98]) ).

cnf(c_3759,plain,
    multiply(sP6_iProver_def,multiply(sk_c9,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1113,c_98]) ).

cnf(c_3760,plain,
    multiply(sP12_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1114,c_98]) ).

cnf(c_3762,plain,
    multiply(sP9_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1116,c_98]) ).

cnf(c_3763,plain,
    multiply(sP17_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1117,c_98]) ).

cnf(c_3764,plain,
    multiply(sP8_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1118,c_98]) ).

cnf(c_3771,plain,
    multiply(sP8_iProver_def,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_3764,c_96]) ).

cnf(c_3772,plain,
    multiply(sP17_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_3763,c_96]) ).

cnf(c_3773,plain,
    multiply(sP9_iProver_def,multiply(sk_c6,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_3762,c_96]) ).

cnf(c_3775,plain,
    multiply(sP12_iProver_def,multiply(sk_c5,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_3760,c_96]) ).

cnf(c_3776,plain,
    multiply(sP6_iProver_def,multiply(sk_c9,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_3759,c_96]) ).

cnf(c_3777,plain,
    multiply(sP13_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_3758,c_96]) ).

cnf(c_3871,plain,
    ( sk_c2 != X0
    | inverse(sk_c2) = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_601]) ).

cnf(c_3873,plain,
    ( sk_c2 != sk_c10
    | inverse(sk_c2) = inverse(sk_c10) ),
    inference(instantiation,[status(thm)],[c_3871]) ).

cnf(c_3962,plain,
    ( inverse(sk_c5) != sP11_iProver_def
    | X0 != sP11_iProver_def
    | X0 = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_2202]) ).

cnf(c_4006,plain,
    sk_c8 = sk_c8,
    inference(instantiation,[status(thm)],[c_598]) ).

cnf(c_4167,plain,
    ( sk_c10 = sP13_iProver_def
    | sP8_iProver_def = sP18_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_965,c_595]) ).

cnf(c_4169,plain,
    ( sk_c10 = sP9_iProver_def
    | sP8_iProver_def = sP18_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_965,c_589]) ).

cnf(c_4172,plain,
    ( multiply(sk_c2,sP8_iProver_def) = sP15_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_965,c_541]) ).

cnf(c_4176,plain,
    ( multiply(sP8_iProver_def,sP19_iProver_def) = sP5_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_965,c_935]) ).

cnf(c_4460,plain,
    ( multiply(sk_c1,sk_c9) != sP18_iProver_def
    | sk_c10 != sP18_iProver_def
    | multiply(sk_c1,sk_c9) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_2332]) ).

cnf(c_4479,plain,
    ( X0 != X1
    | sP5_iProver_def != X1
    | X0 = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_4628,plain,
    ( inverse(sP16_iProver_def) = sP6_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1207,c_532]) ).

cnf(c_4675,plain,
    ( X0 != X1
    | sP11_iProver_def != X1
    | X0 = sP11_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_4794,plain,
    ( X0 != X1
    | sP14_iProver_def != X1
    | X0 = sP14_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_4859,plain,
    ( sP7_iProver_def = sP10_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_1637,c_1207]) ).

cnf(c_4873,plain,
    ( multiply(sP17_iProver_def,sk_c10) = sP19_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1637,c_545]) ).

cnf(c_5155,plain,
    ( multiply(sP12_iProver_def,sk_c10) = sP19_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_1753,c_545]) ).

cnf(c_5243,plain,
    ( X0 != inverse(sk_c5)
    | sk_c9 != inverse(sk_c5)
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_2162]) ).

cnf(c_5477,plain,
    ( multiply(sk_c4,sP13_iProver_def) = sP14_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_1940,c_540]) ).

cnf(c_5578,plain,
    ( sk_c9 != sP5_iProver_def
    | sP16_iProver_def = sP17_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_1884,c_3021]) ).

cnf(c_5661,plain,
    ( sP11_iProver_def = sP14_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_1991,c_1669]) ).

cnf(c_5664,plain,
    ( multiply(X0,sP14_iProver_def) != sk_c10
    | inverse(X0) != sk_c9
    | ~ sP0_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_1991,c_551]) ).

cnf(c_5685,plain,
    ( inverse(sP14_iProver_def) = sP6_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_1991,c_532]) ).

cnf(c_5755,plain,
    ( multiply(sk_c10,sP14_iProver_def) != sk_c10
    | inverse(sk_c10) != sk_c9
    | ~ sP0_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_5664]) ).

cnf(c_5840,plain,
    ( multiply(sk_c2,sP18_iProver_def) = sP15_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_2218,c_541]) ).

cnf(c_5844,plain,
    ( multiply(sP18_iProver_def,sP19_iProver_def) = sP5_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_2218,c_935]) ).

cnf(c_5940,plain,
    ( sP8_iProver_def = sP18_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_2394,c_912]) ).

cnf(c_6034,plain,
    ( sP5_iProver_def = sP12_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_2570,c_922]) ).

cnf(c_6046,plain,
    ( multiply(sP18_iProver_def,sP19_iProver_def) = sP5_iProver_def
    | sP5_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_2570,c_935]) ).

cnf(c_6193,plain,
    ( multiply(X0,X1) != X2
    | sk_c10 != X2
    | sk_c10 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_6231,plain,
    ( sk_c9 != sP5_iProver_def
    | sP8_iProver_def = sP18_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_2778,c_3021]) ).

cnf(c_6289,plain,
    ( sP5_iProver_def = sP14_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_2886,c_978]) ).

cnf(c_6350,plain,
    ( X0 != identity
    | X1 != inverse(X2)
    | multiply(X0,X1) = multiply(identity,inverse(X2)) ),
    inference(instantiation,[status(thm)],[c_600]) ).

cnf(c_6352,plain,
    ( sk_c10 != inverse(sk_c10)
    | sk_c10 != identity
    | multiply(sk_c10,sk_c10) = multiply(identity,inverse(sk_c10)) ),
    inference(instantiation,[status(thm)],[c_6350]) ).

cnf(c_6504,plain,
    sP6_iProver_def = sP6_iProver_def,
    inference(instantiation,[status(thm)],[c_598]) ).

cnf(c_6755,plain,
    multiply(sP8_iProver_def,sP15_iProver_def) = sk_c10,
    inference(superposition,[status(thm)],[c_541,c_3771]) ).

cnf(c_6760,plain,
    multiply(sP17_iProver_def,sP18_iProver_def) = sk_c9,
    inference(superposition,[status(thm)],[c_544,c_3772]) ).

cnf(c_6898,plain,
    multiply(sP6_iProver_def,sP19_iProver_def) = sk_c10,
    inference(superposition,[status(thm)],[c_545,c_3776]) ).

cnf(c_7029,plain,
    ( inverse(sk_c2) != sP8_iProver_def
    | sP6_iProver_def != sP8_iProver_def
    | inverse(sk_c2) = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_1297]) ).

cnf(c_7078,plain,
    ( inverse(sk_c2) != X0
    | sP12_iProver_def != X0
    | inverse(sk_c2) = sP12_iProver_def ),
    inference(instantiation,[status(thm)],[c_1911]) ).

cnf(c_7182,plain,
    ( inverse(sk_c6) != sP8_iProver_def
    | X0 != sP8_iProver_def
    | inverse(sk_c6) = X0 ),
    inference(instantiation,[status(thm)],[c_3379]) ).

cnf(c_7183,plain,
    ( inverse(sk_c6) != sP8_iProver_def
    | sk_c10 != sP8_iProver_def
    | inverse(sk_c6) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_7182]) ).

cnf(c_7189,plain,
    ( inverse(sk_c2) != X0
    | sk_c9 != X0
    | sk_c9 = inverse(sk_c2) ),
    inference(instantiation,[status(thm)],[c_3638]) ).

cnf(c_7200,plain,
    ( inverse(sk_c2) != sk_c10
    | sk_c9 != sk_c10
    | sk_c9 = inverse(sk_c2) ),
    inference(instantiation,[status(thm)],[c_7189]) ).

cnf(c_7209,plain,
    ( inverse(X0) != inverse(sk_c2)
    | X1 != inverse(sk_c2)
    | inverse(X0) = X1 ),
    inference(instantiation,[status(thm)],[c_1293]) ).

cnf(c_7248,plain,
    multiply(sP13_iProver_def,sP14_iProver_def) = sk_c10,
    inference(superposition,[status(thm)],[c_540,c_3777]) ).

cnf(c_7257,plain,
    ( multiply(sP16_iProver_def,sP18_iProver_def) = sk_c9
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_4859,c_6760]) ).

cnf(c_7880,plain,
    ( inverse(sk_c1) != sP16_iProver_def
    | X0 != sP16_iProver_def
    | X0 = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_2202]) ).

cnf(c_7881,plain,
    ( inverse(sk_c1) != sP16_iProver_def
    | X0 != sP16_iProver_def
    | inverse(sk_c1) = X0 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_7882,plain,
    ( inverse(sk_c1) != sP16_iProver_def
    | sk_c9 != sP16_iProver_def
    | inverse(sk_c1) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1127]) ).

cnf(c_7884,plain,
    ( inverse(sk_c1) != sP16_iProver_def
    | sk_c10 != sP16_iProver_def
    | sk_c10 = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_7880]) ).

cnf(c_8108,plain,
    ( X0 != sP17_iProver_def
    | sk_c9 != sP17_iProver_def
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_2162]) ).

cnf(c_8112,plain,
    ( sk_c9 != sP17_iProver_def
    | sk_c10 != sP17_iProver_def
    | sk_c9 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_8108]) ).

cnf(c_8117,plain,
    ( inverse(sk_c1) != sk_c9
    | X0 != sk_c9
    | X0 = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_2202]) ).

cnf(c_8170,plain,
    ( X0 != inverse(sk_c1)
    | sk_c9 != inverse(sk_c1)
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_2162]) ).

cnf(c_8175,plain,
    ( sk_c9 != inverse(sk_c1)
    | sk_c10 != inverse(sk_c1)
    | sk_c9 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_8170]) ).

cnf(c_8177,plain,
    ( inverse(X0) != inverse(sk_c1)
    | sk_c9 != inverse(sk_c1)
    | inverse(X0) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1141]) ).

cnf(c_8178,plain,
    ( inverse(sk_c10) != inverse(sk_c1)
    | sk_c9 != inverse(sk_c1)
    | inverse(sk_c10) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_8177]) ).

cnf(c_8217,plain,
    ( multiply(sP8_iProver_def,sP15_iProver_def) = sP16_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_1119,c_1059]) ).

cnf(c_8223,plain,
    ( sk_c10 = sP16_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_8217,c_6755]) ).

cnf(c_8965,plain,
    ( inverse(sk_c1) != sP5_iProver_def
    | X0 != sP5_iProver_def
    | X0 = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_2202]) ).

cnf(c_8966,plain,
    ( inverse(sk_c1) != sP5_iProver_def
    | X0 != sP5_iProver_def
    | inverse(sk_c1) = X0 ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_8969,plain,
    ( inverse(sk_c1) != sP5_iProver_def
    | sk_c10 != sP5_iProver_def
    | sk_c10 = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_8965]) ).

cnf(c_9475,plain,
    ( inverse(sk_c1) != sP12_iProver_def
    | X0 != sP12_iProver_def
    | X0 = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_2202]) ).

cnf(c_9653,plain,
    ( inverse(sk_c1) != sP17_iProver_def
    | sk_c9 != sP17_iProver_def
    | sk_c9 = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_2163]) ).

cnf(c_9734,plain,
    ( X0 != X1
    | sk_c2 != X1
    | sk_c2 = X0 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_9855,plain,
    ( inverse(sk_c6) != X0
    | sP6_iProver_def != X0
    | sP6_iProver_def = inverse(sk_c6) ),
    inference(instantiation,[status(thm)],[c_3640]) ).

cnf(c_9880,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP16_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_1176,c_3772]) ).

cnf(c_9881,plain,
    ( sk_c9 = sP16_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9880,c_6760]) ).

cnf(c_10054,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP16_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_1224,c_3772]) ).

cnf(c_10055,plain,
    ( sk_c9 = sP11_iProver_def
    | sk_c9 = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_10054,c_6760]) ).

cnf(c_10428,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP16_iProver_def
    | sk_c9 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_1261,c_3772]) ).

cnf(c_10429,plain,
    ( sk_c9 = sP12_iProver_def
    | sk_c9 = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_10428,c_6760]) ).

cnf(c_11038,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP16_iProver_def
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_1327,c_3772]) ).

cnf(c_11039,plain,
    ( sk_c9 = sP5_iProver_def
    | sk_c9 = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_11038,c_6760]) ).

cnf(c_11283,plain,
    sP12_iProver_def = sP12_iProver_def,
    inference(instantiation,[status(thm)],[c_598]) ).

cnf(c_11338,plain,
    ( X0 != sk_c8
    | sP6_iProver_def != sk_c8
    | sP6_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_3374]) ).

cnf(c_11364,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP16_iProver_def
    | sk_c9 = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_1426,c_3772]) ).

cnf(c_11365,plain,
    ( sk_c9 = sP14_iProver_def
    | sk_c9 = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_11364,c_6760]) ).

cnf(c_11492,plain,
    sP17_iProver_def = sP17_iProver_def,
    inference(instantiation,[status(thm)],[c_598]) ).

cnf(c_11996,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP19_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_589,c_1585]) ).

cnf(c_12004,plain,
    ( sk_c9 = sP19_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_11996,c_6760]) ).

cnf(c_12132,plain,
    ( sk_c10 = sP9_iProver_def
    | sP17_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_12004,c_580]) ).

cnf(c_12133,plain,
    ( multiply(sP6_iProver_def,sP19_iProver_def) = identity
    | sk_c10 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_12004,c_1113]) ).

cnf(c_12140,plain,
    ( sk_c10 = sP9_iProver_def
    | sP16_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_12004,c_571]) ).

cnf(c_12158,plain,
    ( sk_c10 = identity
    | sk_c10 = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_12133,c_6898]) ).

cnf(c_12231,plain,
    ( inverse(sk_c6) != sP9_iProver_def
    | sk_c9 != sP9_iProver_def
    | sk_c9 = inverse(sk_c6) ),
    inference(instantiation,[status(thm)],[c_3625]) ).

cnf(c_12232,plain,
    ( X0 != inverse(sk_c6)
    | sk_c9 != inverse(sk_c6)
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_2162]) ).

cnf(c_12237,plain,
    ( sk_c9 != inverse(sk_c6)
    | sk_c10 != inverse(sk_c6)
    | sk_c9 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_12232]) ).

cnf(c_12250,plain,
    ( sP6_iProver_def != inverse(sk_c6)
    | sP8_iProver_def != inverse(sk_c6)
    | sP6_iProver_def = sP8_iProver_def ),
    inference(instantiation,[status(thm)],[c_3389]) ).

cnf(c_13101,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP17_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_1586,c_3772]) ).

cnf(c_13102,plain,
    ( sk_c9 = sP17_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_13101,c_6760]) ).

cnf(c_13320,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP17_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_1672,c_3772]) ).

cnf(c_13321,plain,
    ( sk_c9 = sP11_iProver_def
    | sk_c9 = sP17_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_13320,c_6760]) ).

cnf(c_13727,plain,
    ( sk_c10 = sP9_iProver_def
    | identity = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_12158,c_589]) ).

cnf(c_13729,plain,
    ( multiply(identity,sk_c3) = sP16_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_12158,c_542]) ).

cnf(c_13734,plain,
    ( multiply(identity,sP19_iProver_def) = sP5_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_12158,c_935]) ).

cnf(c_13907,plain,
    ( inverse(X0) != inverse(sk_c2)
    | X1 != inverse(sk_c2)
    | X1 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_3620]) ).

cnf(c_13908,plain,
    ( inverse(sk_c10) != inverse(sk_c2)
    | sk_c10 != inverse(sk_c2)
    | sk_c10 = inverse(sk_c10) ),
    inference(instantiation,[status(thm)],[c_13907]) ).

cnf(c_14418,plain,
    ( inverse(sk_c9) != sP6_iProver_def
    | sP6_iProver_def != sP6_iProver_def
    | sP6_iProver_def = inverse(sk_c9) ),
    inference(instantiation,[status(thm)],[c_3621]) ).

cnf(c_14425,plain,
    ( X0 != sP6_iProver_def
    | sP6_iProver_def != sP6_iProver_def
    | sP6_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_3374]) ).

cnf(c_14431,plain,
    ( inverse(sk_c7) != sP10_iProver_def
    | sP7_iProver_def != sP10_iProver_def
    | inverse(sk_c7) = sP7_iProver_def ),
    inference(instantiation,[status(thm)],[c_1301]) ).

cnf(c_14540,plain,
    ( inverse(sk_c5) != sP12_iProver_def
    | sP5_iProver_def != sP12_iProver_def
    | sP5_iProver_def = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_3629]) ).

cnf(c_14541,plain,
    ( inverse(sk_c5) != sP12_iProver_def
    | sP5_iProver_def != sP12_iProver_def
    | inverse(sk_c5) = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_1303]) ).

cnf(c_14676,plain,
    ( inverse(sk_c5) != sP12_iProver_def
    | sP11_iProver_def != sP12_iProver_def
    | sP11_iProver_def = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_3629]) ).

cnf(c_14677,plain,
    ( inverse(sk_c5) != sP12_iProver_def
    | sP11_iProver_def != sP12_iProver_def
    | inverse(sk_c5) = sP11_iProver_def ),
    inference(instantiation,[status(thm)],[c_1303]) ).

cnf(c_14678,plain,
    ( inverse(sk_c5) != sP12_iProver_def
    | sP12_iProver_def != sP12_iProver_def
    | sP12_iProver_def = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_3629]) ).

cnf(c_14685,plain,
    ( X0 != sP12_iProver_def
    | sP12_iProver_def != sP12_iProver_def
    | sP12_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_3426]) ).

cnf(c_14707,plain,
    ( X0 != inverse(sk_c5)
    | sP12_iProver_def != inverse(sk_c5)
    | sP12_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_3426]) ).

cnf(c_14708,plain,
    ( X0 != inverse(sk_c5)
    | sP12_iProver_def != inverse(sk_c5)
    | X0 = sP12_iProver_def ),
    inference(instantiation,[status(thm)],[c_1715]) ).

cnf(c_14724,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP17_iProver_def
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_1818,c_3772]) ).

cnf(c_14725,plain,
    ( sk_c9 = sP5_iProver_def
    | sk_c9 = sP17_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_14724,c_6760]) ).

cnf(c_14781,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP19_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_595,c_1946]) ).

cnf(c_14791,plain,
    ( sk_c9 = sP19_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_14781,c_6760]) ).

cnf(c_14865,plain,
    ( inverse(sk_c1) != sP17_iProver_def
    | sP16_iProver_def != sP17_iProver_def
    | sP16_iProver_def = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_3633]) ).

cnf(c_14866,plain,
    ( inverse(sk_c1) != sP17_iProver_def
    | sP16_iProver_def != sP17_iProver_def
    | inverse(sk_c1) = sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_1307]) ).

cnf(c_14878,plain,
    ( X0 != sP17_iProver_def
    | sP12_iProver_def != sP17_iProver_def
    | X0 = sP12_iProver_def ),
    inference(instantiation,[status(thm)],[c_1715]) ).

cnf(c_15050,plain,
    ( inverse(sk_c1) != sP17_iProver_def
    | sP5_iProver_def != sP17_iProver_def
    | sP5_iProver_def = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_3633]) ).

cnf(c_15051,plain,
    ( inverse(sk_c1) != sP17_iProver_def
    | sP5_iProver_def != sP17_iProver_def
    | inverse(sk_c1) = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_1307]) ).

cnf(c_15109,plain,
    ( X0 != sP5_iProver_def
    | sk_c9 != sP5_iProver_def
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_2162]) ).

cnf(c_15111,plain,
    ( inverse(X0) != sP5_iProver_def
    | sk_c9 != sP5_iProver_def
    | sk_c9 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_1452]) ).

cnf(c_15206,plain,
    ( sk_c10 = sP13_iProver_def
    | sP17_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_14791,c_586]) ).

cnf(c_15212,plain,
    ( multiply(sP6_iProver_def,sP19_iProver_def) = identity
    | sk_c10 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_14791,c_1113]) ).

cnf(c_15214,plain,
    ( sk_c10 = sP13_iProver_def
    | sP16_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_14791,c_577]) ).

cnf(c_15237,plain,
    ( sk_c10 = identity
    | sk_c10 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_15212,c_6898]) ).

cnf(c_15316,plain,
    ( sk_c9 != sP11_iProver_def
    | sP9_iProver_def != sP11_iProver_def
    | sk_c9 = sP9_iProver_def ),
    inference(instantiation,[status(thm)],[c_1514]) ).

cnf(c_15323,plain,
    ( X0 != sP11_iProver_def
    | sk_c9 != sP11_iProver_def
    | sk_c9 = X0 ),
    inference(instantiation,[status(thm)],[c_2162]) ).

cnf(c_15324,plain,
    ( X0 != sP11_iProver_def
    | sk_c9 != sP11_iProver_def
    | X0 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_2062]) ).

cnf(c_15327,plain,
    ( sk_c9 != sP11_iProver_def
    | sk_c10 != sP11_iProver_def
    | sk_c10 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_15324]) ).

cnf(c_15328,plain,
    ( sk_c9 != sP11_iProver_def
    | sk_c10 != sP11_iProver_def
    | sk_c9 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_15323]) ).

cnf(c_15370,plain,
    ( sP9_iProver_def = sP13_iProver_def
    | sP17_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_15206,c_12132]) ).

cnf(c_15417,plain,
    ( multiply(sk_c4,sP13_iProver_def) = sP14_iProver_def
    | sP17_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_15206,c_540]) ).

cnf(c_15632,plain,
    ( X0 != sP14_iProver_def
    | sk_c9 != sP14_iProver_def
    | X0 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_2062]) ).

cnf(c_15831,plain,
    ( sP9_iProver_def = sP13_iProver_def
    | sP16_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_15214,c_12140]) ).

cnf(c_16364,plain,
    ( sk_c10 = sP13_iProver_def
    | identity = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_15237,c_595]) ).

cnf(c_16368,plain,
    ( multiply(identity,sk_c3) = sP16_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_15237,c_542]) ).

cnf(c_16373,plain,
    ( multiply(identity,sP19_iProver_def) = sP5_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_15237,c_935]) ).

cnf(c_16815,plain,
    ( X0 != X1
    | sP16_iProver_def != X1
    | X0 = sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_16869,plain,
    ( identity = sP18_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_16364,c_13727]) ).

cnf(c_17580,plain,
    ( inverse(sk_c1) != sP12_iProver_def
    | sP11_iProver_def != sP12_iProver_def
    | sP11_iProver_def = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_9475]) ).

cnf(c_17740,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP19_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_2763,c_1889]) ).

cnf(c_17749,plain,
    ( sk_c9 = sP19_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_17740,c_6760]) ).

cnf(c_18019,plain,
    ( multiply(sP6_iProver_def,sP19_iProver_def) = identity
    | sP6_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_17749,c_1113]) ).

cnf(c_18044,plain,
    ( sk_c10 = identity
    | sP6_iProver_def = sP19_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_18019,c_6898]) ).

cnf(c_18233,plain,
    ( multiply(sP18_iProver_def,X0) = X0
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_16869,c_96]) ).

cnf(c_18698,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP11_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_2268,c_3772]) ).

cnf(c_18699,plain,
    ( sk_c9 = sP11_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_18698,c_6760]) ).

cnf(c_18808,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP12_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_2411,c_3772]) ).

cnf(c_18809,plain,
    ( sk_c9 = sP12_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_18808,c_6760]) ).

cnf(c_18985,plain,
    ( identity = sP16_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_18044,c_8223]) ).

cnf(c_19014,plain,
    ( identity = sP18_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_18044,c_2763]) ).

cnf(c_19414,plain,
    ( multiply(sP16_iProver_def,X0) = X0
    | sP6_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_18985,c_96]) ).

cnf(c_19549,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP5_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_2588,c_3772]) ).

cnf(c_19550,plain,
    ( sk_c9 = sP5_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_19549,c_6760]) ).

cnf(c_19617,plain,
    ( multiply(sP6_iProver_def,sP19_iProver_def) = sP18_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_2804,c_3776]) ).

cnf(c_19618,plain,
    ( sk_c10 = sP13_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_19617,c_6898]) ).

cnf(c_19830,plain,
    ( inverse(sk_c1) != sk_c9
    | sP5_iProver_def != sk_c9
    | sP5_iProver_def = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_8117]) ).

cnf(c_20096,plain,
    ( multiply(sP18_iProver_def,X0) = X0
    | sP6_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_19014,c_96]) ).

cnf(c_20737,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP14_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_2905,c_3772]) ).

cnf(c_20738,plain,
    ( sk_c9 = sP14_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_20737,c_6760]) ).

cnf(c_20974,plain,
    ( multiply(sP8_iProver_def,sP15_iProver_def) = sP16_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1011,c_3683]) ).

cnf(c_20983,plain,
    ( sk_c10 = sP16_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_20974,c_6755]) ).

cnf(c_21193,plain,
    ( sP7_iProver_def = sP10_iProver_def
    | sP16_iProver_def = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_20983,c_2218]) ).

cnf(c_21203,plain,
    ( sP7_iProver_def = sP10_iProver_def
    | sP8_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_20983,c_900]) ).

cnf(c_21556,plain,
    ( inverse(sP8_iProver_def) = sP6_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_21203,c_4628]) ).

cnf(c_21973,plain,
    multiply(sk_c9,sP5_iProver_def) = multiply(sP19_iProver_def,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_935,c_3747]) ).

cnf(c_22722,plain,
    multiply(sk_c1,sP19_iProver_def) = multiply(sP18_iProver_def,sk_c10),
    inference(superposition,[status(thm)],[c_545,c_3748]) ).

cnf(c_23194,plain,
    ( X0 != sk_c9
    | sP14_iProver_def != sk_c9
    | X0 = sP14_iProver_def ),
    inference(instantiation,[status(thm)],[c_4794]) ).

cnf(c_23195,plain,
    ( sk_c10 != sk_c9
    | sP14_iProver_def != sk_c9
    | sk_c10 = sP14_iProver_def ),
    inference(instantiation,[status(thm)],[c_23194]) ).

cnf(c_23221,plain,
    ( inverse(sk_c6) != sP9_iProver_def
    | sP8_iProver_def != sP9_iProver_def
    | sP8_iProver_def = inverse(sk_c6) ),
    inference(instantiation,[status(thm)],[c_3625]) ).

cnf(c_23685,plain,
    ( inverse(sk_c1) != sP17_iProver_def
    | sP17_iProver_def != sP17_iProver_def
    | sP17_iProver_def = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_3633]) ).

cnf(c_24398,plain,
    ( sk_c9 != inverse(sk_c5)
    | sP5_iProver_def != inverse(sk_c5)
    | sk_c9 = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_5243]) ).

cnf(c_24400,plain,
    ( sk_c9 != inverse(sk_c5)
    | sP11_iProver_def != inverse(sk_c5)
    | sk_c9 = sP11_iProver_def ),
    inference(instantiation,[status(thm)],[c_5243]) ).

cnf(c_24405,plain,
    ( sk_c9 != inverse(sk_c5)
    | sP12_iProver_def != inverse(sk_c5)
    | sk_c9 = sP12_iProver_def ),
    inference(instantiation,[status(thm)],[c_5243]) ).

cnf(c_26774,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP19_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_2218,c_4873]) ).

cnf(c_26795,plain,
    ( sk_c9 = sP19_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_26774,c_6760]) ).

cnf(c_27014,plain,
    ( multiply(sP6_iProver_def,sP19_iProver_def) = identity
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_26795,c_1113]) ).

cnf(c_27023,plain,
    ( multiply(sk_c1,sP19_iProver_def) = sP18_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_26795,c_544]) ).

cnf(c_27035,plain,
    ( multiply(sP18_iProver_def,sk_c10) = sP18_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_27023,c_22722]) ).

cnf(c_27040,plain,
    ( sk_c10 = identity
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_27014,c_6898]) ).

cnf(c_27436,plain,
    ( identity = sP8_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_27040,c_900]) ).

cnf(c_28563,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_3754,c_96]) ).

cnf(c_28618,plain,
    multiply(inverse(sk_c10),sP16_iProver_def) = sk_c3,
    inference(superposition,[status(thm)],[c_542,c_28563]) ).

cnf(c_28620,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_96,c_28563]) ).

cnf(c_28621,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_97,c_28563]) ).

cnf(c_28623,plain,
    multiply(inverse(sk_c10),sP5_iProver_def) = sP19_iProver_def,
    inference(superposition,[status(thm)],[c_935,c_28563]) ).

cnf(c_28735,plain,
    multiply(inverse(sP12_iProver_def),identity) = sk_c5,
    inference(superposition,[status(thm)],[c_1114,c_28563]) ).

cnf(c_28738,plain,
    multiply(inverse(sP17_iProver_def),identity) = sk_c1,
    inference(superposition,[status(thm)],[c_1117,c_28563]) ).

cnf(c_28837,plain,
    multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_3777,c_28563]) ).

cnf(c_28838,plain,
    multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c9,X0),
    inference(superposition,[status(thm)],[c_3776,c_28563]) ).

cnf(c_28839,plain,
    multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_3775,c_28563]) ).

cnf(c_28841,plain,
    multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c6,X0),
    inference(superposition,[status(thm)],[c_3773,c_28563]) ).

cnf(c_28842,plain,
    multiply(inverse(sP17_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_3772,c_28563]) ).

cnf(c_28843,plain,
    multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_3771,c_28563]) ).

cnf(c_28873,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_28563,c_28563]) ).

cnf(c_29253,plain,
    ( X0 != X1
    | identity != X1
    | X0 = identity ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_29254,plain,
    ( sk_c10 != sk_c10
    | identity != sk_c10
    | sk_c10 = identity ),
    inference(instantiation,[status(thm)],[c_29253]) ).

cnf(c_29680,plain,
    ( inverse(X0) != inverse(X1)
    | inverse(sk_c2) != inverse(X1)
    | inverse(X0) = inverse(sk_c2) ),
    inference(instantiation,[status(thm)],[c_2204]) ).

cnf(c_29681,plain,
    ( inverse(sk_c10) != inverse(sk_c10)
    | inverse(sk_c2) != inverse(sk_c10)
    | inverse(sk_c10) = inverse(sk_c2) ),
    inference(instantiation,[status(thm)],[c_29680]) ).

cnf(c_30166,plain,
    ( multiply(inverse(X0),X0) != identity
    | sk_c10 != identity
    | sk_c10 = multiply(inverse(X0),X0) ),
    inference(instantiation,[status(thm)],[c_6193]) ).

cnf(c_30167,plain,
    ( multiply(inverse(sk_c10),sk_c10) != identity
    | sk_c10 != identity
    | sk_c10 = multiply(inverse(sk_c10),sk_c10) ),
    inference(instantiation,[status(thm)],[c_30166]) ).

cnf(c_30176,plain,
    ( multiply(sk_c4,sk_c10) != sP14_iProver_def
    | sk_c10 != sP14_iProver_def
    | sk_c10 = multiply(sk_c4,sk_c10) ),
    inference(instantiation,[status(thm)],[c_6193]) ).

cnf(c_30313,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_28621,c_28873]) ).

cnf(c_30343,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_30313,c_28620]) ).

cnf(c_30376,plain,
    ( inverse(sP8_iProver_def) = sP8_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_27436,c_30343]) ).

cnf(c_30381,plain,
    ( inverse(sP16_iProver_def) = sP16_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_18985,c_30343]) ).

cnf(c_31034,plain,
    ( sP8_iProver_def = sP18_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_4169,c_4167]) ).

cnf(c_31938,plain,
    multiply(sk_c4,sP13_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_28837,c_97]) ).

cnf(c_31946,plain,
    multiply(sk_c4,identity) = inverse(sP13_iProver_def),
    inference(superposition,[status(thm)],[c_28837,c_30313]) ).

cnf(c_31965,plain,
    ( identity = sP14_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_5477,c_31938]) ).

cnf(c_31966,plain,
    ( sk_c10 = sP8_iProver_def
    | identity = sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_1040,c_31938]) ).

cnf(c_32033,plain,
    ( inverse(sP14_iProver_def) = sP14_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_31965,c_30343]) ).

cnf(c_32034,plain,
    ( multiply(X0,sP14_iProver_def) = X0
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_31965,c_30313]) ).

cnf(c_32065,plain,
    ( multiply(sk_c10,sP14_iProver_def) = sk_c10
    | sP16_iProver_def = sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_32034]) ).

cnf(c_32195,plain,
    ( sk_c10 = sP13_iProver_def
    | identity = sP14_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_31966,c_595]) ).

cnf(c_32759,plain,
    inverse(sP13_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_31946,c_30313]) ).

cnf(c_32824,plain,
    ( multiply(sk_c9,sk_c9) != sk_c10
    | inverse(inverse(sP6_iProver_def)) != sk_c9
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_28838,c_551]) ).

cnf(c_32825,plain,
    multiply(sk_c9,sP6_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_28838,c_97]) ).

cnf(c_32833,plain,
    multiply(sk_c9,identity) = inverse(sP6_iProver_def),
    inference(superposition,[status(thm)],[c_28838,c_30313]) ).

cnf(c_33037,plain,
    ( multiply(sP12_iProver_def,sP6_iProver_def) = identity
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_592,c_32825]) ).

cnf(c_33039,plain,
    ( multiply(sP17_iProver_def,sP6_iProver_def) = identity
    | sk_c9 = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_587,c_32825]) ).

cnf(c_33042,plain,
    ( multiply(sP17_iProver_def,sP6_iProver_def) = identity
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_584,c_32825]) ).

cnf(c_33043,plain,
    ( multiply(sP17_iProver_def,sP6_iProver_def) = identity
    | sk_c9 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_583,c_32825]) ).

cnf(c_33044,plain,
    ( multiply(sP17_iProver_def,sP6_iProver_def) = identity
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_582,c_32825]) ).

cnf(c_33055,plain,
    ( multiply(sP12_iProver_def,sP6_iProver_def) = identity
    | sk_c10 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_556,c_32825]) ).

cnf(c_33059,plain,
    multiply(sk_c1,identity) = multiply(sP18_iProver_def,sP6_iProver_def),
    inference(superposition,[status(thm)],[c_32825,c_3748]) ).

cnf(c_33138,plain,
    ( X0 != sP19_iProver_def
    | sP6_iProver_def != sP19_iProver_def
    | X0 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_1523]) ).

cnf(c_33183,plain,
    ( multiply(inverse(sP12_iProver_def),identity) = sP6_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_33037,c_28563]) ).

cnf(c_33185,plain,
    ( sk_c10 = sP18_iProver_def
    | sk_c5 = sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_33183,c_28735]) ).

cnf(c_33216,plain,
    ( multiply(inverse(sP17_iProver_def),identity) = sP6_iProver_def
    | sk_c9 = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_33039,c_28563]) ).

cnf(c_33218,plain,
    ( sk_c9 = sP14_iProver_def
    | sk_c1 = sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_33216,c_28738]) ).

cnf(c_33276,plain,
    ( multiply(inverse(sP17_iProver_def),identity) = sP6_iProver_def
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_33042,c_28563]) ).

cnf(c_33278,plain,
    ( sk_c9 = sP5_iProver_def
    | sk_c1 = sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_33276,c_28738]) ).

cnf(c_33297,plain,
    ( multiply(inverse(sP17_iProver_def),identity) = sP6_iProver_def
    | sk_c9 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_33043,c_28563]) ).

cnf(c_33299,plain,
    ( sk_c9 = sP12_iProver_def
    | sk_c1 = sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_33297,c_28738]) ).

cnf(c_33535,plain,
    inverse(sP6_iProver_def) = sk_c9,
    inference(demodulation,[status(thm)],[c_32833,c_30313]) ).

cnf(c_33817,plain,
    multiply(sP18_iProver_def,sP6_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_33059,c_30313]) ).

cnf(c_33907,plain,
    ( multiply(inverse(sP17_iProver_def),identity) = sP6_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_33044,c_28563]) ).

cnf(c_33909,plain,
    ( sk_c9 = sP11_iProver_def
    | sk_c1 = sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_33907,c_28738]) ).

cnf(c_34318,plain,
    ( inverse(sk_c6) != inverse(sk_c9)
    | sP6_iProver_def != inverse(sk_c9)
    | sP6_iProver_def = inverse(sk_c6) ),
    inference(instantiation,[status(thm)],[c_9855]) ).

cnf(c_34340,plain,
    ( multiply(sP6_iProver_def,sP19_iProver_def) = sP11_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_33185,c_1039]) ).

cnf(c_34343,plain,
    ( sk_c10 = sP11_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_34340,c_6898]) ).

cnf(c_34390,plain,
    ( multiply(sP6_iProver_def,sk_c9) = sP18_iProver_def
    | sk_c9 = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_33218,c_544]) ).

cnf(c_34393,plain,
    ( sk_c9 = sP14_iProver_def
    | identity = sP18_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_34390,c_1113]) ).

cnf(c_34565,plain,
    ( multiply(sP6_iProver_def,sk_c9) = sP18_iProver_def
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_33278,c_544]) ).

cnf(c_34568,plain,
    ( sk_c9 = sP5_iProver_def
    | identity = sP18_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_34565,c_1113]) ).

cnf(c_34613,plain,
    ( multiply(inverse(sP12_iProver_def),identity) = sP6_iProver_def
    | sk_c10 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_33055,c_28563]) ).

cnf(c_34615,plain,
    ( sk_c10 = sP8_iProver_def
    | sk_c5 = sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_34613,c_28735]) ).

cnf(c_35534,plain,
    ( multiply(X0,sP14_iProver_def) != sk_c10
    | inverse(X0) != sk_c9
    | ~ sP0_iProver_def
    | identity = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_34393,c_551]) ).

cnf(c_35646,plain,
    ( multiply(sk_c10,sP14_iProver_def) != sk_c10
    | inverse(sk_c10) != sk_c9
    | ~ sP0_iProver_def
    | identity = sP18_iProver_def ),
    inference(instantiation,[status(thm)],[c_35534]) ).

cnf(c_36180,plain,
    ( multiply(sP6_iProver_def,sk_c9) = sP18_iProver_def
    | sk_c9 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_33299,c_544]) ).

cnf(c_36183,plain,
    ( sk_c9 = sP12_iProver_def
    | identity = sP18_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_36180,c_1113]) ).

cnf(c_36247,plain,
    ( multiply(sP6_iProver_def,sk_c9) = sP18_iProver_def
    | sk_c9 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_33909,c_544]) ).

cnf(c_36250,plain,
    ( sk_c9 = sP11_iProver_def
    | identity = sP18_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_36247,c_1113]) ).

cnf(c_36469,plain,
    ( inverse(sP12_iProver_def) = sP6_iProver_def
    | identity = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_36183,c_532]) ).

cnf(c_40772,plain,
    ( multiply(sP6_iProver_def,sP19_iProver_def) = sP11_iProver_def
    | sk_c10 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_34615,c_1039]) ).

cnf(c_40775,plain,
    ( sk_c10 = sP8_iProver_def
    | sk_c10 = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_40772,c_6898]) ).

cnf(c_41043,plain,
    ( sk_c10 = sP8_iProver_def
    | sP9_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_40775,c_553]) ).

cnf(c_42175,plain,
    ( inverse(sk_c1) != sP16_iProver_def
    | sP12_iProver_def != sP16_iProver_def
    | inverse(sk_c1) = sP12_iProver_def ),
    inference(instantiation,[status(thm)],[c_7881]) ).

cnf(c_42318,plain,
    ( multiply(sk_c5,sk_c9) != sk_c10
    | inverse(inverse(sP12_iProver_def)) != sk_c9
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_28839,c_551]) ).

cnf(c_42326,plain,
    multiply(sk_c5,multiply(sP12_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_28839,c_28563]) ).

cnf(c_42327,plain,
    multiply(sk_c5,identity) = inverse(sP12_iProver_def),
    inference(superposition,[status(thm)],[c_28839,c_30313]) ).

cnf(c_42529,plain,
    ( X0 != sP5_iProver_def
    | sP16_iProver_def != sP5_iProver_def
    | X0 = sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_16815]) ).

cnf(c_42530,plain,
    ( sk_c10 != sP5_iProver_def
    | sP16_iProver_def != sP5_iProver_def
    | sk_c10 = sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_42529]) ).

cnf(c_42764,plain,
    inverse(sP12_iProver_def) = sk_c5,
    inference(demodulation,[status(thm)],[c_42327,c_30313]) ).

cnf(c_42766,plain,
    ( sk_c5 = sP6_iProver_def
    | identity = sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_36469,c_42764]) ).

cnf(c_42778,plain,
    ( multiply(sk_c5,sP19_iProver_def) = sk_c10
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_5155,c_42326]) ).

cnf(c_42797,plain,
    ( sk_c10 = sP11_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_42778,c_1039]) ).

cnf(c_42812,plain,
    ( multiply(sP6_iProver_def,sP19_iProver_def) = sP11_iProver_def
    | identity = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_42766,c_1039]) ).

cnf(c_42815,plain,
    ( sk_c10 = sP11_iProver_def
    | identity = sP18_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_42812,c_6898]) ).

cnf(c_45784,plain,
    ( sP13_iProver_def != sk_c9
    | sP14_iProver_def != sk_c9
    | sP13_iProver_def = sP14_iProver_def ),
    inference(instantiation,[status(thm)],[c_23194]) ).

cnf(c_46241,plain,
    multiply(sk_c6,identity) = inverse(sP9_iProver_def),
    inference(superposition,[status(thm)],[c_28841,c_30313]) ).

cnf(c_46791,plain,
    inverse(sP9_iProver_def) = sk_c6,
    inference(demodulation,[status(thm)],[c_46241,c_30313]) ).

cnf(c_47098,plain,
    ( X0 != inverse(sk_c1)
    | sP5_iProver_def != inverse(sk_c1)
    | X0 = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_4479]) ).

cnf(c_47177,plain,
    ( X0 != inverse(sk_c1)
    | sP11_iProver_def != inverse(sk_c1)
    | X0 = sP11_iProver_def ),
    inference(instantiation,[status(thm)],[c_4675]) ).

cnf(c_47464,plain,
    ( sk_c9 != inverse(sk_c9)
    | sP6_iProver_def != inverse(sk_c9)
    | sk_c9 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_1461]) ).

cnf(c_47857,plain,
    ( inverse(sk_c5) != sP5_iProver_def
    | sP6_iProver_def != sP5_iProver_def
    | inverse(sk_c5) = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_2333]) ).

cnf(c_47887,plain,
    ( inverse(sk_c5) != sP5_iProver_def
    | identity != sP5_iProver_def
    | inverse(sk_c5) = identity ),
    inference(instantiation,[status(thm)],[c_2333]) ).

cnf(c_48542,plain,
    ( inverse(sk_c5) != sP11_iProver_def
    | sP17_iProver_def != sP11_iProver_def
    | inverse(sk_c5) = sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_2336]) ).

cnf(c_48543,plain,
    ( inverse(sk_c5) != sP17_iProver_def
    | sk_c9 != sP17_iProver_def
    | sk_c9 = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_2163]) ).

cnf(c_48807,plain,
    multiply(sk_c1,identity) = inverse(sP17_iProver_def),
    inference(superposition,[status(thm)],[c_28842,c_30313]) ).

cnf(c_48913,plain,
    inverse(sP17_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_48807,c_30313]) ).

cnf(c_49872,plain,
    ( inverse(sk_c5) != sP11_iProver_def
    | sP17_iProver_def != sP11_iProver_def
    | sP17_iProver_def = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_3962]) ).

cnf(c_50077,plain,
    multiply(sk_c2,sP8_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_28843,c_97]) ).

cnf(c_50085,plain,
    multiply(sk_c2,identity) = inverse(sP8_iProver_def),
    inference(superposition,[status(thm)],[c_28843,c_30313]) ).

cnf(c_50109,plain,
    ( identity = sP15_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_4172,c_50077]) ).

cnf(c_51838,plain,
    ( inverse(sk_c1) != sP5_iProver_def
    | sk_c8 != sP5_iProver_def
    | inverse(sk_c1) = sk_c8 ),
    inference(instantiation,[status(thm)],[c_8966]) ).

cnf(c_51839,plain,
    ( inverse(sk_c1) != sk_c8
    | sP6_iProver_def != sk_c8
    | sP6_iProver_def = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_11338]) ).

cnf(c_51986,plain,
    ( sP9_iProver_def = sP13_iProver_def
    | sP15_iProver_def = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_50109,c_16869]) ).

cnf(c_52019,plain,
    inverse(sP8_iProver_def) = sk_c2,
    inference(demodulation,[status(thm)],[c_50085,c_30313]) ).

cnf(c_52021,plain,
    ( sk_c2 = sP6_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_21556,c_52019]) ).

cnf(c_52382,plain,
    ( X0 != inverse(sk_c1)
    | sP6_iProver_def != inverse(sk_c1)
    | sP6_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_3374]) ).

cnf(c_52385,plain,
    ( sk_c10 != inverse(sk_c1)
    | sP6_iProver_def != inverse(sk_c1)
    | sP6_iProver_def = sk_c10 ),
    inference(instantiation,[status(thm)],[c_52382]) ).

cnf(c_52393,plain,
    ( X0 != inverse(sk_c1)
    | sP17_iProver_def != inverse(sk_c1)
    | X0 = sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_1858]) ).

cnf(c_52394,plain,
    ( sk_c10 != inverse(sk_c1)
    | sP17_iProver_def != inverse(sk_c1)
    | sk_c10 = sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_52393]) ).

cnf(c_53201,plain,
    ( inverse(sk_c5) != sP6_iProver_def
    | sP6_iProver_def != sP6_iProver_def
    | sP6_iProver_def = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_14425]) ).

cnf(c_53219,plain,
    ( sk_c8 != sP6_iProver_def
    | sP6_iProver_def != sP6_iProver_def
    | sP6_iProver_def = sk_c8 ),
    inference(instantiation,[status(thm)],[c_14425]) ).

cnf(c_53220,plain,
    ( sP6_iProver_def != sP6_iProver_def
    | sP19_iProver_def != sP6_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_14425]) ).

cnf(c_54047,plain,
    ( sP6_iProver_def != sP12_iProver_def
    | sP12_iProver_def != sP12_iProver_def
    | sP12_iProver_def = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_14685]) ).

cnf(c_54519,plain,
    ( sP12_iProver_def != inverse(sk_c5)
    | sP17_iProver_def != inverse(sk_c5)
    | sP12_iProver_def = sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_14707]) ).

cnf(c_54657,plain,
    ( sP6_iProver_def != inverse(sk_c5)
    | sP12_iProver_def != inverse(sk_c5)
    | sP6_iProver_def = sP12_iProver_def ),
    inference(instantiation,[status(thm)],[c_14708]) ).

cnf(c_55637,plain,
    ( X0 != sP14_iProver_def
    | sP5_iProver_def != sP14_iProver_def
    | X0 = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_4479]) ).

cnf(c_55754,plain,
    ( X0 != sP14_iProver_def
    | sP11_iProver_def != sP14_iProver_def
    | X0 = sP11_iProver_def ),
    inference(instantiation,[status(thm)],[c_4675]) ).

cnf(c_55790,plain,
    ( inverse(sk_c5) != inverse(sk_c2)
    | X0 != inverse(sk_c2)
    | inverse(sk_c5) = X0 ),
    inference(instantiation,[status(thm)],[c_7209]) ).

cnf(c_55791,plain,
    ( inverse(sk_c5) != inverse(sk_c2)
    | sk_c10 != inverse(sk_c2)
    | inverse(sk_c5) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_55790]) ).

cnf(c_55887,plain,
    ( inverse(sk_c4) != X0
    | sP19_iProver_def != X0
    | inverse(sk_c4) = sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_1721]) ).

cnf(c_55888,plain,
    ( inverse(sk_c4) != sk_c10
    | sP19_iProver_def != sk_c10
    | inverse(sk_c4) = sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_55887]) ).

cnf(c_56196,plain,
    ( sP8_iProver_def = sP15_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_51986,c_31034]) ).

cnf(c_56486,plain,
    ( inverse(sk_c5) != X0
    | sk_c9 != X0
    | sk_c9 = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_1452]) ).

cnf(c_56487,plain,
    ( inverse(sk_c5) != sk_c10
    | sk_c9 != sk_c10
    | sk_c9 = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_56486]) ).

cnf(c_58549,plain,
    ( sk_c9 != X0
    | sP6_iProver_def != X0
    | sP6_iProver_def = sk_c9 ),
    inference(instantiation,[status(thm)],[c_2062]) ).

cnf(c_58587,plain,
    ( sk_c9 != X0
    | sP13_iProver_def != X0
    | sP13_iProver_def = sk_c9 ),
    inference(instantiation,[status(thm)],[c_2062]) ).

cnf(c_58588,plain,
    ( sk_c9 != sk_c10
    | sP13_iProver_def != sk_c10
    | sP13_iProver_def = sk_c9 ),
    inference(instantiation,[status(thm)],[c_58587]) ).

cnf(c_58659,plain,
    ( multiply(X0,X1) != X2
    | sk_c9 != X2
    | multiply(X0,X1) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_2062]) ).

cnf(c_58661,plain,
    ( multiply(sk_c10,sk_c10) != sk_c10
    | sk_c9 != sk_c10
    | multiply(sk_c10,sk_c10) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_58659]) ).

cnf(c_58777,plain,
    ( inverse(sP6_iProver_def) = sP8_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_52021,c_534]) ).

cnf(c_58778,plain,
    ( sk_c9 = sP8_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_58777,c_33535]) ).

cnf(c_59426,plain,
    ( inverse(sk_c1) != sP16_iProver_def
    | sk_c9 != sP16_iProver_def
    | sk_c9 = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_7880]) ).

cnf(c_60166,plain,
    ( sk_c8 != sP17_iProver_def
    | sP12_iProver_def != sP17_iProver_def
    | sk_c8 = sP12_iProver_def ),
    inference(instantiation,[status(thm)],[c_14878]) ).

cnf(c_62977,plain,
    ( X0 != sk_c9
    | sP6_iProver_def != sk_c9
    | X0 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_1523]) ).

cnf(c_62978,plain,
    ( sk_c10 != sk_c9
    | sP6_iProver_def != sk_c9
    | sk_c10 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_62977]) ).

cnf(c_64124,plain,
    ( sk_c9 != sP14_iProver_def
    | sk_c6 != sP14_iProver_def
    | sk_c6 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_15632]) ).

cnf(c_65534,plain,
    ( X0 != sP5_iProver_def
    | sP6_iProver_def != sP5_iProver_def
    | X0 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_1523]) ).

cnf(c_65535,plain,
    ( sk_c10 != sP5_iProver_def
    | sP6_iProver_def != sP5_iProver_def
    | sk_c10 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_65534]) ).

cnf(c_65622,plain,
    ( X0 != sP5_iProver_def
    | sk_c2 != sP5_iProver_def
    | sk_c2 = X0 ),
    inference(instantiation,[status(thm)],[c_9734]) ).

cnf(c_65623,plain,
    ( sk_c10 != sP5_iProver_def
    | sk_c2 != sP5_iProver_def
    | sk_c2 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_65622]) ).

cnf(c_66063,plain,
    ( inverse(X0) != inverse(sk_c2)
    | sk_c9 != inverse(sk_c2)
    | inverse(X0) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1141]) ).

cnf(c_66064,plain,
    ( inverse(sk_c10) != inverse(sk_c2)
    | sk_c9 != inverse(sk_c2)
    | inverse(sk_c10) = sk_c9 ),
    inference(instantiation,[status(thm)],[c_66063]) ).

cnf(c_66349,plain,
    ( multiply(sk_c4,sP13_iProver_def) = sP14_iProver_def
    | identity = sP14_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_32195,c_540]) ).

cnf(c_66363,plain,
    ( identity = sP14_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_66349,c_31938]) ).

cnf(c_66588,plain,
    ( X0 != sP11_iProver_def
    | sP6_iProver_def != sP11_iProver_def
    | X0 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_1523]) ).

cnf(c_66589,plain,
    ( sk_c10 != sP11_iProver_def
    | sP6_iProver_def != sP11_iProver_def
    | sk_c10 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_66588]) ).

cnf(c_67565,plain,
    ( sP7_iProver_def = sP10_iProver_def
    | sP8_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_58778,c_1637]) ).

cnf(c_68538,plain,
    ( X0 != X1
    | sP19_iProver_def != X1
    | X0 = sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_68539,plain,
    ( sk_c10 != sk_c10
    | sP19_iProver_def != sk_c10
    | sk_c10 = sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_68538]) ).

cnf(c_68760,plain,
    ( sk_c10 = sP9_iProver_def
    | sk_c3 = sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_13729,c_96]) ).

cnf(c_68832,plain,
    ( sk_c10 = sP9_iProver_def
    | sP15_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_68760,c_562]) ).

cnf(c_68914,plain,
    ( sP6_iProver_def != sP19_iProver_def
    | sP19_iProver_def != sP19_iProver_def
    | sP19_iProver_def = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_33138]) ).

cnf(c_68915,plain,
    sP19_iProver_def = sP19_iProver_def,
    inference(instantiation,[status(thm)],[c_598]) ).

cnf(c_70746,plain,
    ( inverse(sP8_iProver_def) = sk_c1
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_67565,c_48913]) ).

cnf(c_70790,plain,
    ( sk_c1 = sk_c2
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_70746,c_52019]) ).

cnf(c_71614,plain,
    ( sk_c2 = sP8_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_30376,c_52019]) ).

cnf(c_71622,plain,
    ( sk_c1 = sP8_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_71614,c_70790]) ).

cnf(c_71973,plain,
    ( inverse(sP8_iProver_def) = sP17_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_71622,c_543]) ).

cnf(c_71974,plain,
    ( sk_c2 = sP17_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_71973,c_52019]) ).

cnf(c_72126,plain,
    ( sk_c10 = sP9_iProver_def
    | sP5_iProver_def = sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_13734,c_96]) ).

cnf(c_72844,plain,
    ( sP6_iProver_def = sP17_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_71974,c_52021]) ).

cnf(c_72853,plain,
    ( multiply(sP17_iProver_def,sP18_iProver_def) = sP15_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_71974,c_5840]) ).

cnf(c_72875,plain,
    ( sk_c9 = sP15_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_72853,c_6760]) ).

cnf(c_73027,plain,
    ( inverse(sP6_iProver_def) = sk_c1
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_72844,c_48913]) ).

cnf(c_73067,plain,
    ( sP6_iProver_def = sP16_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_72844,c_4859]) ).

cnf(c_73073,plain,
    ( sk_c9 = sk_c1
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_73027,c_33535]) ).

cnf(c_73347,plain,
    ( sP7_iProver_def = sP10_iProver_def
    | sP15_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_72875,c_26795]) ).

cnf(c_74801,plain,
    ( X0 != sk_c1
    | inverse(X0) = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_601]) ).

cnf(c_74802,plain,
    ( sk_c10 != sk_c1
    | inverse(sk_c10) = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_74801]) ).

cnf(c_74988,plain,
    ( sP5_iProver_def != inverse(sk_c1)
    | sP6_iProver_def != inverse(sk_c1)
    | sP6_iProver_def = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_47098]) ).

cnf(c_75001,plain,
    ( sP5_iProver_def != inverse(sk_c1)
    | sP16_iProver_def != inverse(sk_c1)
    | sP16_iProver_def = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_47098]) ).

cnf(c_75409,plain,
    ( inverse(sP6_iProver_def) = sP6_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_73067,c_4628]) ).

cnf(c_75419,plain,
    ( sk_c9 = sP6_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_75409,c_33535]) ).

cnf(c_75811,plain,
    ( multiply(sP8_iProver_def,sP15_iProver_def) = sP5_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_73347,c_3688]) ).

cnf(c_75840,plain,
    ( sk_c10 = sP5_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_75811,c_6755]) ).

cnf(c_76809,plain,
    ( inverse(sk_c1) != sP16_iProver_def
    | sP6_iProver_def != sP16_iProver_def
    | sP6_iProver_def = inverse(sk_c1) ),
    inference(instantiation,[status(thm)],[c_7880]) ).

cnf(c_77262,plain,
    ( sP6_iProver_def != sk_c8
    | sP17_iProver_def != sk_c8
    | sP17_iProver_def = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_3375]) ).

cnf(c_77264,plain,
    ( sk_c9 != sP6_iProver_def
    | sP17_iProver_def != sP6_iProver_def
    | sk_c9 = sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_1450]) ).

cnf(c_78117,plain,
    ( sP6_iProver_def = sP19_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_75419,c_17749]) ).

cnf(c_78923,plain,
    ( inverse(sk_c9) != sP6_iProver_def
    | sP5_iProver_def != sP6_iProver_def
    | inverse(sk_c9) = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_1295]) ).

cnf(c_78927,plain,
    ( inverse(sk_c9) != sP5_iProver_def
    | sk_c9 != sP5_iProver_def
    | sk_c9 = inverse(sk_c9) ),
    inference(instantiation,[status(thm)],[c_15111]) ).

cnf(c_79014,plain,
    ( multiply(sP18_iProver_def,sP6_iProver_def) = sP5_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_78117,c_5844]) ).

cnf(c_79058,plain,
    ( sk_c1 = sP5_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_79014,c_33817]) ).

cnf(c_80890,plain,
    ( sP11_iProver_def != inverse(sk_c1)
    | sP17_iProver_def != inverse(sk_c1)
    | sP17_iProver_def = sP11_iProver_def ),
    inference(instantiation,[status(thm)],[c_47177]) ).

cnf(c_82340,plain,
    ( identity = sP14_iProver_def
    | sP17_iProver_def = sP19_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_15417,c_31938]) ).

cnf(c_83936,plain,
    ( sP6_iProver_def != sP14_iProver_def
    | sP11_iProver_def != sP14_iProver_def
    | sP6_iProver_def = sP11_iProver_def ),
    inference(instantiation,[status(thm)],[c_55754]) ).

cnf(c_86462,plain,
    ( sk_c9 = sP5_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_79058,c_73073]) ).

cnf(c_90215,plain,
    ( sk_c10 != X0
    | sP18_iProver_def != X0
    | sk_c10 = sP18_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_90216,plain,
    ( sk_c10 != sk_c10
    | sP18_iProver_def != sk_c10
    | sk_c10 = sP18_iProver_def ),
    inference(instantiation,[status(thm)],[c_90215]) ).

cnf(c_90542,plain,
    ( sk_c6 != sk_c9
    | inverse(sk_c6) = inverse(sk_c9) ),
    inference(instantiation,[status(thm)],[c_601]) ).

cnf(c_91041,plain,
    ( sk_c10 = sP13_iProver_def
    | sk_c3 = sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_16368,c_96]) ).

cnf(c_91112,plain,
    ( sk_c10 = sP13_iProver_def
    | sP15_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_91041,c_568]) ).

cnf(c_91411,plain,
    ( sP9_iProver_def = sP13_iProver_def
    | sP15_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_91112,c_68832]) ).

cnf(c_92055,plain,
    ( sk_c9 != inverse(sk_c9)
    | sP6_iProver_def != inverse(sk_c9)
    | sP6_iProver_def = sk_c9 ),
    inference(instantiation,[status(thm)],[c_58549]) ).

cnf(c_92355,plain,
    ( identity != sP14_iProver_def
    | sP5_iProver_def != sP14_iProver_def
    | identity = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_55637]) ).

cnf(c_93930,plain,
    ( sk_c9 != sk_c10
    | sk_c10 != identity
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3082,c_30343]) ).

cnf(c_93974,plain,
    ( sk_c10 != identity
    | sk_c10 != sP16_iProver_def
    | ~ sP1_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1207,c_93930]) ).

cnf(c_93985,plain,
    ( sk_c10 != identity
    | sk_c10 != sP17_iProver_def
    | ~ sP1_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_580,c_93930]) ).

cnf(c_94556,plain,
    ( inverse(sk_c5) != sP12_iProver_def
    | sk_c8 != sP12_iProver_def
    | sk_c8 = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_3629]) ).

cnf(c_95629,plain,
    ( sk_c9 != sk_c9
    | sk_c10 != identity
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_3223,c_33535]) ).

cnf(c_95630,plain,
    ( sk_c10 != identity
    | ~ sP0_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_95629]) ).

cnf(c_95651,plain,
    ( ~ sP0_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_27040,c_95630]) ).

cnf(c_95661,plain,
    ( ~ sP0_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_12158,c_95630]) ).

cnf(c_95687,plain,
    ( identity != sP13_iProver_def
    | ~ sP0_iProver_def
    | sk_c10 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_559,c_95630]) ).

cnf(c_95842,plain,
    ( inverse(sk_c2) != sP6_iProver_def
    | sP12_iProver_def != sP6_iProver_def
    | inverse(sk_c2) = sP12_iProver_def ),
    inference(instantiation,[status(thm)],[c_7078]) ).

cnf(c_95995,plain,
    ( sk_c9 != sP5_iProver_def
    | sP16_iProver_def != sP5_iProver_def
    | sk_c9 = sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_15109]) ).

cnf(c_95996,plain,
    ( sk_c9 != sk_c9
    | sP16_iProver_def != sk_c9
    | sk_c9 = sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_3526]) ).

cnf(c_96114,plain,
    ( inverse(multiply(X0,sk_c10)) != X1
    | sk_c10 != X1
    | inverse(multiply(X0,sk_c10)) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_96119,plain,
    ( inverse(multiply(X0,sk_c10)) != X1
    | X2 != X1
    | inverse(multiply(X0,sk_c10)) = X2 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_96120,plain,
    ( inverse(multiply(X0,sk_c10)) != inverse(X1)
    | sk_c10 != inverse(X1)
    | inverse(multiply(X0,sk_c10)) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_96114]) ).

cnf(c_96121,plain,
    ( multiply(X0,sk_c10) != X1
    | inverse(multiply(X0,sk_c10)) = inverse(X1) ),
    inference(instantiation,[status(thm)],[c_601]) ).

cnf(c_96125,plain,
    ( inverse(multiply(X0,sk_c10)) != X1
    | sk_c10 != X1
    | sk_c10 = inverse(multiply(X0,sk_c10)) ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_96127,plain,
    ( multiply(identity,sk_c10) != sk_c10
    | inverse(multiply(identity,sk_c10)) = inverse(sk_c10) ),
    inference(instantiation,[status(thm)],[c_96121]) ).

cnf(c_96135,plain,
    ( multiply(X0,sk_c10) != X1
    | X2 != X1
    | multiply(X0,sk_c10) = X2 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_96138,plain,
    ( multiply(sk_c7,sk_c10) != sP7_iProver_def
    | inverse(multiply(sk_c7,sk_c10)) = inverse(sP7_iProver_def) ),
    inference(instantiation,[status(thm)],[c_96121]) ).

cnf(c_96139,plain,
    ( multiply(sk_c4,sk_c10) != sP14_iProver_def
    | inverse(multiply(sk_c4,sk_c10)) = inverse(sP14_iProver_def) ),
    inference(instantiation,[status(thm)],[c_96121]) ).

cnf(c_96148,plain,
    ( inverse(X0) != X1
    | sk_c10 != X1
    | sk_c10 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_96149,plain,
    ( inverse(multiply(identity,sk_c10)) != inverse(sk_c10)
    | X0 != inverse(sk_c10)
    | inverse(multiply(identity,sk_c10)) = X0 ),
    inference(instantiation,[status(thm)],[c_96119]) ).

cnf(c_96157,plain,
    ( inverse(multiply(sk_c7,sk_c10)) != inverse(sP7_iProver_def)
    | X0 != inverse(sP7_iProver_def)
    | inverse(multiply(sk_c7,sk_c10)) = X0 ),
    inference(instantiation,[status(thm)],[c_96119]) ).

cnf(c_96160,plain,
    ( inverse(multiply(sk_c4,sk_c10)) != inverse(sP14_iProver_def)
    | X0 != inverse(sP14_iProver_def)
    | inverse(multiply(sk_c4,sk_c10)) = X0 ),
    inference(instantiation,[status(thm)],[c_96119]) ).

cnf(c_96174,plain,
    ( inverse(multiply(identity,sk_c10)) != inverse(sk_c10)
    | sk_c10 != inverse(sk_c10)
    | sk_c10 = inverse(multiply(identity,sk_c10)) ),
    inference(instantiation,[status(thm)],[c_96125]) ).

cnf(c_96182,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | inverse(X0) = X2 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_96205,plain,
    ( multiply(inverse(sk_c10),sk_c10) != identity
    | X0 != identity
    | multiply(inverse(sk_c10),sk_c10) = X0 ),
    inference(instantiation,[status(thm)],[c_96135]) ).

cnf(c_96216,plain,
    ( multiply(sk_c4,sk_c10) != sP14_iProver_def
    | X0 != sP14_iProver_def
    | multiply(sk_c4,sk_c10) = X0 ),
    inference(instantiation,[status(thm)],[c_96135]) ).

cnf(c_96228,plain,
    ( multiply(X0,sk_c10) != multiply(X1,X2)
    | X3 != multiply(X1,X2)
    | multiply(X0,sk_c10) = X3 ),
    inference(instantiation,[status(thm)],[c_96135]) ).

cnf(c_96246,plain,
    ( multiply(identity,inverse(sk_c10)) != inverse(sk_c10)
    | inverse(multiply(identity,sk_c10)) != inverse(sk_c10)
    | inverse(multiply(identity,sk_c10)) = multiply(identity,inverse(sk_c10)) ),
    inference(instantiation,[status(thm)],[c_96149]) ).

cnf(c_96268,plain,
    ( inverse(multiply(sk_c7,sk_c10)) != inverse(sP7_iProver_def)
    | inverse(X0) != inverse(sP7_iProver_def)
    | inverse(multiply(sk_c7,sk_c10)) = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_96157]) ).

cnf(c_96269,plain,
    ( X0 != sP7_iProver_def
    | inverse(X0) = inverse(sP7_iProver_def) ),
    inference(instantiation,[status(thm)],[c_601]) ).

cnf(c_96323,plain,
    ( sk_c10 != X0
    | sP8_iProver_def != X0
    | sk_c10 = sP8_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_96324,plain,
    ( inverse(multiply(X0,sk_c10)) != inverse(sk_c6)
    | sk_c10 != inverse(sk_c6)
    | inverse(multiply(X0,sk_c10)) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_96120]) ).

cnf(c_96331,plain,
    ( sk_c10 != X0
    | sP17_iProver_def != X0
    | sk_c10 = sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_96372,plain,
    ( multiply(sk_c4,sk_c10) != X0
    | X1 != X0
    | multiply(sk_c4,sk_c10) = X1 ),
    inference(instantiation,[status(thm)],[c_96135]) ).

cnf(c_96385,plain,
    ( multiply(sk_c4,sk_c10) != sP14_iProver_def
    | inverse(sP14_iProver_def) != sP14_iProver_def
    | multiply(sk_c4,sk_c10) = inverse(sP14_iProver_def) ),
    inference(instantiation,[status(thm)],[c_96216]) ).

cnf(c_96386,plain,
    ( inverse(multiply(sk_c4,sk_c10)) != inverse(sP14_iProver_def)
    | multiply(sk_c4,sk_c10) != inverse(sP14_iProver_def)
    | inverse(multiply(sk_c4,sk_c10)) = multiply(sk_c4,sk_c10) ),
    inference(instantiation,[status(thm)],[c_96160]) ).

cnf(c_96406,plain,
    ( X0 != X1
    | sP19_iProver_def != X1
    | X0 = sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_96431,plain,
    ( inverse(X0) != inverse(X1)
    | X2 != inverse(X1)
    | inverse(X0) = X2 ),
    inference(instantiation,[status(thm)],[c_96182]) ).

cnf(c_96434,plain,
    ( inverse(sk_c6) != sP9_iProver_def
    | X0 != sP9_iProver_def
    | inverse(sk_c6) = X0 ),
    inference(instantiation,[status(thm)],[c_96182]) ).

cnf(c_96491,plain,
    ( multiply(X0,X1) != X2
    | X3 != X2
    | X3 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_96590,plain,
    ( inverse(multiply(identity,sk_c10)) != multiply(identity,inverse(sk_c10))
    | multiply(X0,sk_c10) != multiply(identity,inverse(sk_c10))
    | multiply(X0,sk_c10) = inverse(multiply(identity,sk_c10)) ),
    inference(instantiation,[status(thm)],[c_96228]) ).

cnf(c_96591,plain,
    ( inverse(multiply(identity,sk_c10)) != multiply(identity,inverse(sk_c10))
    | multiply(sk_c10,sk_c10) != multiply(identity,inverse(sk_c10))
    | multiply(sk_c10,sk_c10) = inverse(multiply(identity,sk_c10)) ),
    inference(instantiation,[status(thm)],[c_96590]) ).

cnf(c_96679,plain,
    ( inverse(multiply(sk_c4,sk_c10)) != multiply(sk_c4,sk_c10)
    | X0 != multiply(sk_c4,sk_c10)
    | inverse(multiply(sk_c4,sk_c10)) = X0 ),
    inference(instantiation,[status(thm)],[c_96182]) ).

cnf(c_96680,plain,
    ( inverse(multiply(sk_c4,sk_c10)) != multiply(sk_c4,sk_c10)
    | sk_c10 != multiply(sk_c4,sk_c10)
    | sk_c10 = inverse(multiply(sk_c4,sk_c10)) ),
    inference(instantiation,[status(thm)],[c_96148]) ).

cnf(c_96681,plain,
    ( inverse(multiply(sk_c4,sk_c10)) != multiply(sk_c4,sk_c10)
    | sk_c10 != multiply(sk_c4,sk_c10)
    | inverse(multiply(sk_c4,sk_c10)) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_96679]) ).

cnf(c_96973,plain,
    ( sk_c10 != X0
    | inverse(sk_c10) = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_601]) ).

cnf(c_96979,plain,
    ( identity != X0
    | inverse(identity) = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_601]) ).

cnf(c_96981,plain,
    ( identity != sk_c10
    | inverse(identity) = inverse(sk_c10) ),
    inference(instantiation,[status(thm)],[c_96979]) ).

cnf(c_96987,plain,
    ( sP7_iProver_def != X0
    | inverse(sP7_iProver_def) = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_601]) ).

cnf(c_97336,plain,
    ( sk_c10 != X0
    | identity != X0
    | identity = sk_c10 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_97408,plain,
    ( multiply(sk_c4,sk_c10) != X0
    | sP19_iProver_def != X0
    | multiply(sk_c4,sk_c10) = sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_96372]) ).

cnf(c_97415,plain,
    ( sk_c10 != X0
    | sP19_iProver_def != X0
    | sP19_iProver_def = sk_c10 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_97418,plain,
    ( sk_c10 != sP18_iProver_def
    | sP8_iProver_def != sP18_iProver_def
    | sk_c10 = sP8_iProver_def ),
    inference(instantiation,[status(thm)],[c_96323]) ).

cnf(c_97457,plain,
    ( X0 != X1
    | sP6_iProver_def != X1
    | X0 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_97460,plain,
    ( multiply(sk_c4,sk_c10) != sP14_iProver_def
    | sP6_iProver_def != sP14_iProver_def
    | multiply(sk_c4,sk_c10) = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_96216]) ).

cnf(c_97509,plain,
    ( inverse(sk_c6) != sP9_iProver_def
    | inverse(sP7_iProver_def) != sP9_iProver_def
    | inverse(sk_c6) = inverse(sP7_iProver_def) ),
    inference(instantiation,[status(thm)],[c_96434]) ).

cnf(c_97569,plain,
    ( multiply(inverse(sk_c10),sk_c10) != identity
    | inverse(sk_c5) != identity
    | multiply(inverse(sk_c10),sk_c10) = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_96205]) ).

cnf(c_97729,plain,
    ( X0 != sk_c8
    | sP19_iProver_def != sk_c8
    | X0 = sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_96406]) ).

cnf(c_97859,plain,
    ( inverse(X0) != inverse(sk_c6)
    | sk_c10 != inverse(sk_c6)
    | inverse(X0) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_96431]) ).

cnf(c_98147,plain,
    ( sk_c8 != sk_c8
    | sP19_iProver_def != sk_c8
    | sk_c8 = sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_97729]) ).

cnf(c_98149,plain,
    ( X0 != X1
    | sk_c8 != X1
    | X0 = sk_c8 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_98174,plain,
    ( inverse(multiply(sk_c4,sk_c10)) != sk_c10
    | inverse(sk_c4) != multiply(sk_c4,sk_c10)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_549]) ).

cnf(c_98211,plain,
    ( inverse(sk_c7) != sP7_iProver_def
    | X0 != sP7_iProver_def
    | inverse(sk_c7) = X0 ),
    inference(instantiation,[status(thm)],[c_96182]) ).

cnf(c_98541,plain,
    ( inverse(X0) != inverse(multiply(sk_c4,sk_c10))
    | sk_c10 != inverse(multiply(sk_c4,sk_c10))
    | inverse(X0) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_96431]) ).

cnf(c_98542,plain,
    ( inverse(sk_c10) != inverse(multiply(sk_c4,sk_c10))
    | sk_c10 != inverse(multiply(sk_c4,sk_c10))
    | inverse(sk_c10) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_98541]) ).

cnf(c_98850,plain,
    ( inverse(multiply(sk_c7,sk_c10)) != inverse(sP7_iProver_def)
    | inverse(sk_c6) != inverse(sP7_iProver_def)
    | inverse(multiply(sk_c7,sk_c10)) = inverse(sk_c6) ),
    inference(instantiation,[status(thm)],[c_96268]) ).

cnf(c_99784,plain,
    ( sk_c10 != multiply(X0,X1)
    | inverse(sk_c10) = inverse(multiply(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_96973]) ).

cnf(c_99987,plain,
    ( sP7_iProver_def != sk_c6
    | inverse(sP7_iProver_def) = inverse(sk_c6) ),
    inference(instantiation,[status(thm)],[c_96987]) ).

cnf(c_100110,plain,
    ( multiply(inverse(sk_c10),sk_c10) != inverse(sk_c5)
    | X0 != inverse(sk_c5)
    | multiply(inverse(sk_c10),sk_c10) = X0 ),
    inference(instantiation,[status(thm)],[c_96135]) ).

cnf(c_100929,plain,
    ( multiply(X0,sk_c10) != inverse(multiply(identity,sk_c10))
    | X1 != inverse(multiply(identity,sk_c10))
    | multiply(X0,sk_c10) = X1 ),
    inference(instantiation,[status(thm)],[c_96135]) ).

cnf(c_100932,plain,
    ( multiply(sk_c10,sk_c10) != inverse(multiply(identity,sk_c10))
    | sk_c10 != inverse(multiply(identity,sk_c10))
    | multiply(sk_c10,sk_c10) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_100929]) ).

cnf(c_101775,plain,
    ( inverse(identity) != inverse(X0)
    | sk_c10 != inverse(X0)
    | inverse(identity) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_96431]) ).

cnf(c_101776,plain,
    ( inverse(identity) != inverse(sk_c10)
    | sk_c10 != inverse(sk_c10)
    | inverse(identity) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_101775]) ).

cnf(c_102580,plain,
    ( inverse(sP7_iProver_def) != inverse(sk_c6)
    | sk_c10 != inverse(sk_c6)
    | inverse(sP7_iProver_def) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_97859]) ).

cnf(c_102787,plain,
    ( sk_c6 != sP7_iProver_def
    | inverse(sk_c6) = inverse(sP7_iProver_def) ),
    inference(instantiation,[status(thm)],[c_96269]) ).

cnf(c_102915,plain,
    ( X0 != X1
    | sk_c8 != X1
    | sk_c8 = X0 ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_103095,plain,
    ( X0 != sP19_iProver_def
    | sk_c8 != sP19_iProver_def
    | X0 = sk_c8 ),
    inference(instantiation,[status(thm)],[c_98149]) ).

cnf(c_104736,plain,
    ( inverse(multiply(sk_c7,sk_c10)) != sk_c10
    | inverse(sk_c7) != multiply(sk_c7,sk_c10)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_549]) ).

cnf(c_105272,plain,
    ( multiply(sk_c7,sk_c10) != sP7_iProver_def
    | inverse(sk_c7) != sP7_iProver_def
    | inverse(sk_c7) = multiply(sk_c7,sk_c10) ),
    inference(instantiation,[status(thm)],[c_98211]) ).

cnf(c_106379,plain,
    ( multiply(inverse(sk_c10),sk_c10) != sk_c8
    | sP19_iProver_def != sk_c8
    | multiply(inverse(sk_c10),sk_c10) = sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_97729]) ).

cnf(c_108898,plain,
    ( inverse(multiply(sk_c7,sk_c10)) != inverse(sk_c6)
    | sk_c10 != inverse(sk_c6)
    | inverse(multiply(sk_c7,sk_c10)) = sk_c10 ),
    inference(instantiation,[status(thm)],[c_96324]) ).

cnf(c_109040,plain,
    ( multiply(X0,X1) != sP19_iProver_def
    | X2 != sP19_iProver_def
    | X2 = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_96491]) ).

cnf(c_109314,plain,
    ( multiply(inverse(sk_c10),sk_c10) != inverse(sk_c5)
    | sk_c8 != inverse(sk_c5)
    | multiply(inverse(sk_c10),sk_c10) = sk_c8 ),
    inference(instantiation,[status(thm)],[c_100110]) ).

cnf(c_109635,plain,
    ( multiply(inverse(sk_c10),sk_c10) != sP19_iProver_def
    | X0 != sP19_iProver_def
    | X0 = multiply(inverse(sk_c10),sk_c10) ),
    inference(instantiation,[status(thm)],[c_109040]) ).

cnf(c_111264,plain,
    ( sk_c8 != sP19_iProver_def
    | sP17_iProver_def != sP19_iProver_def
    | sP17_iProver_def = sk_c8 ),
    inference(instantiation,[status(thm)],[c_103095]) ).

cnf(c_112502,plain,
    ( X0 != sk_c8
    | sk_c8 != sk_c8
    | sk_c8 = X0 ),
    inference(instantiation,[status(thm)],[c_102915]) ).

cnf(c_113183,plain,
    ( sP13_iProver_def != sP14_iProver_def
    | ~ sP0_iProver_def
    | sk_c10 = sP8_iProver_def
    | sP17_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_82340,c_95687]) ).

cnf(c_118656,plain,
    ( multiply(sk_c4,sk_c10) != sP19_iProver_def
    | X0 != sP19_iProver_def
    | X0 = multiply(sk_c4,sk_c10) ),
    inference(instantiation,[status(thm)],[c_109040]) ).

cnf(c_118657,plain,
    ( multiply(sk_c4,sk_c10) != sP19_iProver_def
    | sk_c10 != sP19_iProver_def
    | sk_c10 = multiply(sk_c4,sk_c10) ),
    inference(instantiation,[status(thm)],[c_118656]) ).

cnf(c_120788,plain,
    ( multiply(inverse(sk_c10),sk_c10) != sP19_iProver_def
    | sP17_iProver_def != sP19_iProver_def
    | sP17_iProver_def = multiply(inverse(sk_c10),sk_c10) ),
    inference(instantiation,[status(thm)],[c_109635]) ).

cnf(c_120790,plain,
    ( sk_c10 != multiply(inverse(sk_c10),sk_c10)
    | sP17_iProver_def != multiply(inverse(sk_c10),sk_c10)
    | sk_c10 = sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_96331]) ).

cnf(c_121359,plain,
    ( sk_c8 != sk_c8
    | sP17_iProver_def != sk_c8
    | sk_c8 = sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_112502]) ).

cnf(c_124141,plain,
    ( sk_c10 != sP19_iProver_def
    | sP19_iProver_def != sP19_iProver_def
    | sP19_iProver_def = sk_c10 ),
    inference(instantiation,[status(thm)],[c_97415]) ).

cnf(c_124828,plain,
    ( sP6_iProver_def != X0
    | sP19_iProver_def != X0
    | sP19_iProver_def = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_97457]) ).

cnf(c_124829,plain,
    ( sk_c10 != sP6_iProver_def
    | sP19_iProver_def != sP6_iProver_def
    | sP19_iProver_def = sk_c10 ),
    inference(instantiation,[status(thm)],[c_97415]) ).

cnf(c_124832,plain,
    ( multiply(sk_c4,sk_c10) != sP6_iProver_def
    | sP19_iProver_def != sP6_iProver_def
    | multiply(sk_c4,sk_c10) = sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_97408]) ).

cnf(c_124834,plain,
    ( sP6_iProver_def != sk_c10
    | sP19_iProver_def != sk_c10
    | sP19_iProver_def = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_124828]) ).

cnf(c_126850,plain,
    ( sk_c10 = sP13_iProver_def
    | sP5_iProver_def = sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_16373,c_96]) ).

cnf(c_126907,plain,
    ( sP5_iProver_def = sP19_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_126850,c_72126]) ).

cnf(c_127003,plain,
    ( multiply(sk_c4,sP13_iProver_def) = sP14_iProver_def
    | sP5_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_126850,c_540]) ).

cnf(c_127014,plain,
    ( identity = sP14_iProver_def
    | sP5_iProver_def = sP19_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_127003,c_31938]) ).

cnf(c_128295,plain,
    ( sP5_iProver_def = sP16_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_126907,c_15831]) ).

cnf(c_128297,plain,
    ( sP5_iProver_def = sP17_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_126907,c_15370]) ).

cnf(c_128885,plain,
    ( multiply(inverse(sk_c10),sP5_iProver_def) = sk_c3
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_128295,c_28618]) ).

cnf(c_128927,plain,
    ( sk_c3 = sP19_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_128885,c_28623]) ).

cnf(c_130836,plain,
    ( sk_c10 = sP13_iProver_def
    | sP9_iProver_def = sP13_iProver_def
    | sP15_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_128927,c_568]) ).

cnf(c_130842,plain,
    ( sk_c10 = sP9_iProver_def
    | sP9_iProver_def = sP13_iProver_def
    | sP15_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_128927,c_562]) ).

cnf(c_131566,plain,
    ( sk_c10 != multiply(sk_c4,sk_c10)
    | inverse(sk_c10) = inverse(multiply(sk_c4,sk_c10)) ),
    inference(instantiation,[status(thm)],[c_99784]) ).

cnf(c_131694,plain,
    ( multiply(sk_c4,sk_c10) != sP19_iProver_def
    | inverse(sk_c4) != sP19_iProver_def
    | inverse(sk_c4) = multiply(sk_c4,sk_c10) ),
    inference(instantiation,[status(thm)],[c_118656]) ).

cnf(c_131860,plain,
    ( sP6_iProver_def = sP16_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_30381,c_1363]) ).

cnf(c_133930,plain,
    ( sP9_iProver_def = sP13_iProver_def
    | sP15_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_130842,c_130836]) ).

cnf(c_134857,plain,
    ( sP6_iProver_def = sP16_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_131860,c_15831]) ).

cnf(c_136218,plain,
    ( multiply(sP8_iProver_def,sP15_iProver_def) = sP5_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_133930,c_4176]) ).

cnf(c_136256,plain,
    ( sk_c10 = sP5_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_136218,c_6755]) ).

cnf(c_137412,plain,
    ( sP6_iProver_def = sP15_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_134857,c_91411]) ).

cnf(c_137744,plain,
    ( sk_c10 != sP8_iProver_def
    | identity != sP8_iProver_def
    | identity = sk_c10 ),
    inference(instantiation,[status(thm)],[c_97336]) ).

cnf(c_137971,plain,
    ( multiply(sP16_iProver_def,sP16_iProver_def) = sk_c9
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_21193,c_7257]) ).

cnf(c_139703,plain,
    ( sP6_iProver_def = sP8_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_137412,c_56196]) ).

cnf(c_142096,plain,
    ( sk_c1 = sP6_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_18233,c_33817]) ).

cnf(c_143077,plain,
    ( inverse(sP6_iProver_def) = sP17_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_142096,c_543]) ).

cnf(c_143078,plain,
    ( sk_c9 = sP17_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_143077,c_33535]) ).

cnf(c_145197,plain,
    ( sP6_iProver_def = sP14_iProver_def
    | sP16_iProver_def = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_32033,c_5685]) ).

cnf(c_147170,plain,
    sP16_iProver_def = sP17_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_145197,c_604,c_539,c_540,c_1128,c_1306,c_1669,c_1753,c_1813,c_1884,c_1940,c_1991,c_3052,c_3101,c_3472,c_5578,c_5661,c_5755,c_15328,c_32033,c_32065,c_42797,c_55888,c_66589,c_68539,c_68914,c_68915,c_83936,c_96139,c_96385,c_96386,c_96680,c_96681,c_97460,c_98174,c_98542,c_118657,c_124832,c_124829,c_131566,c_131694,c_145197]) ).

cnf(c_147231,plain,
    inverse(sP16_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_48913,c_147170]) ).

cnf(c_147323,plain,
    multiply(sP16_iProver_def,sP18_iProver_def) = sk_c9,
    inference(demodulation,[status(thm)],[c_6760,c_147170]) ).

cnf(c_147387,plain,
    ( inverse(sP6_iProver_def) = sk_c1
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_134857,c_147231]) ).

cnf(c_147398,plain,
    ( sk_c9 = sk_c1
    | sP9_iProver_def = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_147387,c_33535]) ).

cnf(c_147798,plain,
    ( sk_c10 = sP19_iProver_def
    | sP6_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_19414,c_1360]) ).

cnf(c_147905,plain,
    sP6_iProver_def = sP19_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_20096,c_604,c_539,c_540,c_543,c_1128,c_1306,c_1669,c_1753,c_1813,c_1884,c_1940,c_1991,c_3052,c_3101,c_3472,c_5578,c_5661,c_5755,c_6504,c_7884,c_8223,c_14866,c_15328,c_32033,c_32065,c_42797,c_52385,c_53220,c_55888,c_66589,c_68539,c_68914,c_68915,c_76809,c_83936,c_96139,c_96385,c_96386,c_96680,c_96681,c_97460,c_98174,c_98542,c_118657,c_124141,c_124834,c_124832,c_124829,c_131566,c_131694,c_131860,c_145197,c_147798]) ).

cnf(c_147926,plain,
    ( identity = sP14_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_127014,c_147905]) ).

cnf(c_147927,plain,
    ( sk_c10 = sP13_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_126850,c_147905]) ).

cnf(c_148010,plain,
    ( multiply(sP18_iProver_def,sP6_iProver_def) = sP5_iProver_def
    | sP5_iProver_def = sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_6046,c_147905]) ).

cnf(c_148041,plain,
    multiply(sk_c9,sP5_iProver_def) = multiply(sP6_iProver_def,sP6_iProver_def),
    inference(demodulation,[status(thm)],[c_21973,c_147905]) ).

cnf(c_148101,plain,
    multiply(sP6_iProver_def,sP6_iProver_def) = sk_c10,
    inference(demodulation,[status(thm)],[c_6898,c_147905]) ).

cnf(c_148107,plain,
    ( sk_c9 != sP5_iProver_def
    | sP6_iProver_def != sP6_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_3021,c_147905]) ).

cnf(c_148111,plain,
    multiply(sk_c9,sk_c10) = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_545,c_147905]) ).

cnf(c_148113,plain,
    multiply(sk_c10,sP6_iProver_def) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_935,c_147905]) ).

cnf(c_148115,plain,
    sk_c8 = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_597,c_147905]) ).

cnf(c_148243,plain,
    ( sk_c1 = sP5_iProver_def
    | sP5_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_148010,c_33817]) ).

cnf(c_148372,plain,
    ( sk_c9 != sP5_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_148107]) ).

cnf(c_148569,plain,
    ( multiply(sk_c9,sP5_iProver_def) = sP6_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_136256,c_148111]) ).

cnf(c_148571,plain,
    ( multiply(sk_c9,sP5_iProver_def) = sP6_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_75840,c_148111]) ).

cnf(c_148614,plain,
    ( inverse(multiply(sk_c9,sk_c10)) != sk_c10
    | inverse(sk_c9) != sP6_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_148111,c_549]) ).

cnf(c_148616,plain,
    ( inverse(sk_c9) != sk_c10
    | sk_c9 != sP6_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_148111,c_550]) ).

cnf(c_148640,plain,
    ( sk_c10 = sP6_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_148571,c_148041,c_148101]) ).

cnf(c_148645,plain,
    ( sk_c10 = sP6_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_148569,c_148041,c_148101]) ).

cnf(c_148664,plain,
    ( sk_c9 != sP6_iProver_def
    | sk_c10 != sP6_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_148616,c_532]) ).

cnf(c_148681,plain,
    ( inverse(sk_c9) != sP6_iProver_def
    | sk_c9 != sk_c10
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_148614,c_33535,c_148111]) ).

cnf(c_148682,plain,
    ( sk_c9 != sk_c10
    | ~ sP2_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_148681,c_532]) ).

cnf(c_148944,plain,
    ( sk_c10 != sP11_iProver_def
    | ~ sP2_iProver_def
    | identity = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_36250,c_148682]) ).

cnf(c_148962,plain,
    ( sk_c10 != sP16_iProver_def
    | ~ sP2_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1207,c_148682]) ).

cnf(c_148963,plain,
    ( sk_c10 != sP14_iProver_def
    | ~ sP2_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_596,c_148682]) ).

cnf(c_148966,plain,
    ( sk_c10 != sP11_iProver_def
    | ~ sP2_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_591,c_148682]) ).

cnf(c_148967,plain,
    ( sk_c10 != sP16_iProver_def
    | ~ sP2_iProver_def
    | sk_c9 = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_578,c_148682]) ).

cnf(c_148972,plain,
    ( sk_c10 != sP16_iProver_def
    | ~ sP2_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_571,c_148682]) ).

cnf(c_148973,plain,
    ( sk_c10 != sP14_iProver_def
    | ~ sP2_iProver_def
    | sk_c10 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_560,c_148682]) ).

cnf(c_148976,plain,
    ( sk_c10 != sP11_iProver_def
    | ~ sP2_iProver_def
    | sk_c10 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_555,c_148682]) ).

cnf(c_149447,plain,
    ( ~ sP2_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_148963,c_34343,c_148966]) ).

cnf(c_149459,plain,
    ( ~ sP2_iProver_def
    | sk_c10 != sP16_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_148967,c_604,c_535,c_539,c_540,c_543,c_579,c_1128,c_1306,c_1669,c_1753,c_1813,c_1884,c_1940,c_1991,c_2160,c_3052,c_3101,c_3371,c_3472,c_3571,c_3626,c_5578,c_5661,c_5755,c_7884,c_8112,c_11492,c_14866,c_15328,c_23685,c_32033,c_32065,c_42797,c_52394,c_55888,c_66589,c_68539,c_68914,c_68915,c_83936,c_96139,c_96385,c_96386,c_96680,c_96681,c_97460,c_98174,c_98542,c_99987,c_102580,c_118657,c_124832,c_124829,c_131566,c_131694,c_145197,c_148682,c_148962,c_148972]) ).

cnf(c_149460,plain,
    ( sk_c10 != sP16_iProver_def
    | ~ sP2_iProver_def ),
    inference(renaming,[status(thm)],[c_149459]) ).

cnf(c_149465,plain,
    ( sP5_iProver_def != sP16_iProver_def
    | ~ sP2_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_136256,c_149460]) ).

cnf(c_149644,plain,
    ( sP13_iProver_def != sP14_iProver_def
    | ~ sP0_iProver_def
    | sk_c10 = sP8_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_147926,c_95687]) ).

cnf(c_149662,plain,
    ( inverse(sP14_iProver_def) = sP14_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_147926,c_30343]) ).

cnf(c_149663,plain,
    ( multiply(X0,sP14_iProver_def) = X0
    | sP5_iProver_def = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_147926,c_30313]) ).

cnf(c_149729,plain,
    ( multiply(sk_c10,sP14_iProver_def) = sk_c10
    | sP5_iProver_def = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_149663]) ).

cnf(c_150428,plain,
    ( ~ sP2_iProver_def
    | sk_c10 = sP8_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_148973,c_40775,c_148976]) ).

cnf(c_150565,plain,
    ( sk_c9 = sP6_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_147398,c_142096]) ).

cnf(c_150898,plain,
    multiply(sk_c9,sP5_iProver_def) = sk_c10,
    inference(light_normalisation,[status(thm)],[c_148041,c_148101]) ).

cnf(c_150906,plain,
    ( multiply(sP5_iProver_def,sP5_iProver_def) = sk_c10
    | identity = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_34568,c_150898]) ).

cnf(c_150924,plain,
    ( multiply(sP5_iProver_def,sP5_iProver_def) = sk_c10
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_593,c_150898]) ).

cnf(c_152524,plain,
    ( sk_c9 = sP5_iProver_def
    | sP5_iProver_def = sP12_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_148243,c_147398]) ).

cnf(c_153727,plain,
    ( multiply(sP18_iProver_def,sP6_iProver_def) = sP18_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_148640,c_27035]) ).

cnf(c_153784,plain,
    ( sP6_iProver_def = sP18_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_148640,c_2218]) ).

cnf(c_153821,plain,
    ( sk_c1 = sP18_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_153727,c_33817]) ).

cnf(c_153945,plain,
    ( multiply(sk_c9,sP6_iProver_def) = sP6_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_148645,c_148111]) ).

cnf(c_153949,plain,
    ( identity != sP6_iProver_def
    | ~ sP0_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_148645,c_95630]) ).

cnf(c_153963,plain,
    ( sk_c10 = sP11_iProver_def
    | sP6_iProver_def = sP18_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_148645,c_34343]) ).

cnf(c_153991,plain,
    ( sP5_iProver_def = sP12_iProver_def
    | sP6_iProver_def = sP18_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_148645,c_2570]) ).

cnf(c_153992,plain,
    ( sP6_iProver_def = sP18_iProver_def
    | sP9_iProver_def = sP13_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_148645,c_2394]) ).

cnf(c_154005,plain,
    ( sk_c10 = sP13_iProver_def
    | sP6_iProver_def = sP18_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_148645,c_595]) ).

cnf(c_154023,plain,
    ( identity = sP6_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_153945,c_32825]) ).

cnf(c_154235,plain,
    ( sP6_iProver_def = sP18_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_154005,c_538,c_543,c_2338,c_3052,c_3472,c_8175,c_8969,c_9653,c_11283,c_14540,c_14677,c_14676,c_14678,c_15051,c_24398,c_24400,c_24405,c_56487,c_128297,c_128295,c_136256,c_143078,c_148372,c_148645,c_148664,c_149465,c_150565,c_154023,c_153949,c_153992,c_153991,c_153963]) ).

cnf(c_154301,plain,
    ( multiply(sP6_iProver_def,sP6_iProver_def) = sk_c1
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_154235,c_33817]) ).

cnf(c_154335,plain,
    ( sk_c10 = sk_c1
    | sP9_iProver_def = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_154301,c_148101]) ).

cnf(c_154869,plain,
    ( multiply(sk_c10,sk_c10) != sk_c9
    | sk_c10 != identity
    | ~ sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3449,c_30343]) ).

cnf(c_154925,plain,
    ( multiply(sP6_iProver_def,sP6_iProver_def) != sk_c9
    | sk_c10 != identity
    | ~ sP4_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_148645,c_154869]) ).

cnf(c_154946,plain,
    ( multiply(sP16_iProver_def,sP16_iProver_def) != sk_c9
    | sk_c10 != identity
    | ~ sP4_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_20983,c_154869]) ).

cnf(c_155135,plain,
    ( sk_c9 != sk_c10
    | sk_c10 != identity
    | ~ sP4_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_154925,c_148101]) ).

cnf(c_156190,plain,
    ( inverse(inverse(sk_c10)) != sk_c10
    | sk_c9 != sk_c10
    | ~ sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_3450,c_30313]) ).

cnf(c_156202,plain,
    ( inverse(inverse(sP13_iProver_def)) != sP13_iProver_def
    | sk_c9 != sk_c10
    | ~ sP4_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_147927,c_156190]) ).

cnf(c_156223,plain,
    ( inverse(inverse(sP9_iProver_def)) != sP9_iProver_def
    | sk_c9 != sk_c10
    | ~ sP4_iProver_def
    | identity = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_13727,c_156190]) ).

cnf(c_156224,plain,
    ( inverse(inverse(identity)) != identity
    | sk_c9 != sk_c10
    | ~ sP4_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_12158,c_156190]) ).

cnf(c_156245,plain,
    ( inverse(inverse(sP9_iProver_def)) != sP9_iProver_def
    | sk_c9 != sk_c10
    | ~ sP4_iProver_def
    | sk_c10 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_553,c_156190]) ).

cnf(c_156246,plain,
    ( sk_c9 != sk_c10
    | sP9_iProver_def != sP9_iProver_def
    | ~ sP4_iProver_def
    | sk_c10 = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_156245,c_535,c_46791]) ).

cnf(c_156247,plain,
    ( sk_c9 != sk_c10
    | ~ sP4_iProver_def
    | sk_c10 = sP8_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_156246]) ).

cnf(c_156299,plain,
    ( sk_c9 != sk_c10
    | identity != identity
    | ~ sP4_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_156224,c_30343]) ).

cnf(c_156300,plain,
    ( sk_c9 != sk_c10
    | ~ sP4_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_156299]) ).

cnf(c_156304,plain,
    ( sk_c9 != sk_c10
    | sP9_iProver_def != sP9_iProver_def
    | ~ sP4_iProver_def
    | identity = sP18_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_156223,c_535,c_46791]) ).

cnf(c_156305,plain,
    ( sk_c9 != sk_c10
    | ~ sP4_iProver_def
    | identity = sP18_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_156304]) ).

cnf(c_156338,plain,
    ( sk_c9 != sk_c10
    | sP13_iProver_def != sP13_iProver_def
    | ~ sP4_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_156202,c_539,c_32759]) ).

cnf(c_156339,plain,
    ( sk_c9 != sk_c10
    | ~ sP4_iProver_def
    | sP5_iProver_def = sP6_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_156338]) ).

cnf(c_156597,plain,
    ( inverse(multiply(identity,sk_c10)) != sk_c10
    | sk_c10 != identity
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3556,c_30343]) ).

cnf(c_156598,plain,
    ( inverse(sk_c10) != sk_c10
    | sk_c10 != identity
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_156597,c_96]) ).

cnf(c_156632,plain,
    ( inverse(identity) != identity
    | sk_c10 != identity
    | ~ sP2_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_12158,c_156598]) ).

cnf(c_156721,plain,
    ( sk_c10 != identity
    | ~ sP2_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_156632,c_30343]) ).

cnf(c_157452,plain,
    ( sk_c10 != identity
    | sk_c10 != sP6_iProver_def
    | ~ sP1_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_150565,c_93930]) ).

cnf(c_157482,plain,
    ( sk_c10 = sP18_iProver_def
    | sP6_iProver_def = sP12_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_150565,c_592]) ).

cnf(c_157484,plain,
    ( multiply(sP6_iProver_def,sP6_iProver_def) = identity
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_150565,c_1113]) ).

cnf(c_157501,plain,
    ( sk_c10 = identity
    | sP9_iProver_def = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_157484,c_148101]) ).

cnf(c_157984,plain,
    ( sP6_iProver_def = sP12_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_157482,c_604,c_538,c_539,c_540,c_543,c_1128,c_1306,c_1669,c_1753,c_1813,c_1884,c_1940,c_1991,c_3052,c_3050,c_3101,c_3472,c_5578,c_5661,c_5755,c_6504,c_8175,c_8178,c_8969,c_9653,c_11283,c_14541,c_14678,c_14866,c_15051,c_15050,c_15328,c_32033,c_32065,c_42797,c_47857,c_53201,c_54657,c_55888,c_66589,c_68539,c_68914,c_68915,c_74802,c_74988,c_76809,c_83936,c_96139,c_96385,c_96386,c_96680,c_96681,c_97460,c_98174,c_98542,c_118657,c_124832,c_124829,c_128297,c_128295,c_131566,c_131694,c_134857,c_136256,c_143078,c_145197,c_148372,c_148645,c_149465,c_152524,c_154023,c_153949,c_154335,c_155135,c_157501,c_157452]) ).

cnf(c_157986,plain,
    sP9_iProver_def = sP13_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_157984,c_534,c_538,c_543,c_965,c_1920,c_3050,c_3624,c_7029,c_8175,c_8178,c_8969,c_9653,c_11283,c_14540,c_15051,c_24398,c_54047,c_55791,c_56487,c_74802,c_95842,c_128297,c_128295,c_136256,c_139703,c_143078,c_148372,c_148645,c_149465,c_152524,c_154023,c_153949,c_154335,c_155135,c_157501,c_157452,c_157984]) ).

cnf(c_158049,plain,
    inverse(sP9_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_32759,c_157986]) ).

cnf(c_158071,plain,
    multiply(sP9_iProver_def,sP14_iProver_def) = sk_c10,
    inference(demodulation,[status(thm)],[c_7248,c_157986]) ).

cnf(c_158080,plain,
    sk_c4 = sk_c6,
    inference(light_normalisation,[status(thm)],[c_158049,c_46791]) ).

cnf(c_158109,plain,
    multiply(sk_c6,sk_c10) = sP14_iProver_def,
    inference(demodulation,[status(thm)],[c_540,c_158080]) ).

cnf(c_158332,plain,
    ( multiply(sP10_iProver_def,sk_c10) = sP14_iProver_def
    | sk_c9 = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_572,c_158109]) ).

cnf(c_158375,plain,
    ( inverse(sk_c6) != sk_c10
    | sk_c9 != sP14_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_158109,c_550]) ).

cnf(c_158416,plain,
    ( sk_c9 != sP14_iProver_def
    | sk_c10 != sP9_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_158375,c_535]) ).

cnf(c_158799,plain,
    ( multiply(sP10_iProver_def,sP9_iProver_def) = sP14_iProver_def
    | sk_c9 = sP16_iProver_def
    | sk_c10 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_553,c_158332]) ).

cnf(c_159764,plain,
    ( multiply(sP6_iProver_def,sP6_iProver_def) = sk_c1
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_153784,c_33817]) ).

cnf(c_159788,plain,
    ( sk_c10 = sk_c1
    | sP7_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_159764,c_148101]) ).

cnf(c_159845,plain,
    sP7_iProver_def = sP10_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_153821,c_604,c_539,c_540,c_543,c_1128,c_1207,c_1306,c_1669,c_1753,c_1813,c_1884,c_1940,c_1991,c_3052,c_3050,c_3101,c_3472,c_5578,c_5661,c_5755,c_8178,c_14866,c_15328,c_20983,c_27040,c_32033,c_32065,c_42797,c_55888,c_59426,c_66589,c_68539,c_68914,c_68915,c_74802,c_83936,c_86462,c_93974,c_95651,c_96139,c_96385,c_96386,c_96680,c_96681,c_97460,c_98174,c_98542,c_118657,c_124832,c_124829,c_131566,c_131694,c_137971,c_145197,c_148372,c_148962,c_154946,c_159788]) ).

cnf(c_160025,plain,
    ( sk_c9 = sP16_iProver_def
    | sk_c10 = sP8_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_158799,c_604,c_532,c_533,c_535,c_536,c_539,c_540,c_543,c_546,c_575,c_577,c_578,c_597,c_1128,c_1148,c_1163,c_1306,c_1669,c_1753,c_1813,c_1884,c_1940,c_1991,c_2160,c_3052,c_3101,c_3472,c_3626,c_4006,c_5578,c_5661,c_5755,c_6504,c_9881,c_10055,c_10429,c_11039,c_11365,c_14418,c_14431,c_14865,c_15328,c_19830,c_32033,c_32065,c_40775,c_42797,c_45784,c_47464,c_53219,c_55888,c_58588,c_66589,c_68539,c_68914,c_68915,c_75001,c_77262,c_77264,c_78923,c_78927,c_83936,c_95996,c_95995,c_96138,c_96139,c_96385,c_96386,c_96680,c_96681,c_97460,c_97509,c_98147,c_98174,c_98542,c_98850,c_104736,c_105272,c_108898,c_111264,c_113183,c_118657,c_124832,c_124829,c_131566,c_131694,c_145197,c_148115,c_149644,c_156247,c_158416,c_159845]) ).

cnf(c_160082,plain,
    ( sk_c10 = sP8_iProver_def
    | sP14_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_160025,c_560]) ).

cnf(c_160085,plain,
    ( sk_c10 = sP8_iProver_def
    | sP12_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_160025,c_556]) ).

cnf(c_160217,plain,
    ( sk_c10 = sP9_iProver_def
    | sP8_iProver_def = sP18_iProver_def
    | sP14_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_160082,c_589]) ).

cnf(c_160658,plain,
    ( sk_c10 = sP9_iProver_def
    | sP8_iProver_def = sP18_iProver_def
    | sP12_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_160085,c_589]) ).

cnf(c_161142,plain,
    ( sP8_iProver_def = sP18_iProver_def
    | sk_c10 = sP9_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_160217,c_101,c_604,c_538,c_539,c_540,c_543,c_597,c_1128,c_1306,c_1669,c_1753,c_1813,c_1884,c_1940,c_1991,c_3052,c_3101,c_3472,c_4006,c_5578,c_5661,c_5755,c_5940,c_6034,c_6231,c_6289,c_8112,c_11283,c_11492,c_12158,c_12132,c_13102,c_14541,c_14540,c_14677,c_14676,c_14678,c_14866,c_15328,c_17580,c_23685,c_24398,c_24400,c_24405,c_30167,c_32033,c_32065,c_42175,c_42797,c_47887,c_48542,c_48543,c_49872,c_54519,c_55888,c_60166,c_66363,c_66589,c_68539,c_68914,c_68915,c_80890,c_83936,c_92355,c_93985,c_94556,c_95661,c_96139,c_96385,c_96386,c_96680,c_96681,c_97460,c_97569,c_98147,c_98174,c_98542,c_106379,c_109314,c_111264,c_118657,c_120788,c_120790,c_121359,c_124832,c_124829,c_131566,c_131694,c_145197,c_156300,c_156721,c_160658]) ).

cnf(c_161143,plain,
    ( sk_c10 = sP9_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(renaming,[status(thm)],[c_161142]) ).

cnf(c_161183,plain,
    ( inverse(inverse(sP9_iProver_def)) != sP9_iProver_def
    | sk_c9 != sk_c10
    | ~ sP4_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_161143,c_156190]) ).

cnf(c_161341,plain,
    ( sk_c9 != sk_c10
    | sP9_iProver_def != sP9_iProver_def
    | ~ sP4_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_161183,c_535,c_46791]) ).

cnf(c_161342,plain,
    ( sk_c9 != sk_c10
    | ~ sP4_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_161341]) ).

cnf(c_162108,plain,
    ( multiply(sk_c9,sk_c9) != sk_c10
    | sk_c9 != sP6_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_32824,c_532,c_33535]) ).

cnf(c_162151,plain,
    ( multiply(sP5_iProver_def,sP5_iProver_def) != sk_c10
    | sk_c9 != sP6_iProver_def
    | ~ sP0_iProver_def
    | identity = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_34568,c_162108]) ).

cnf(c_162167,plain,
    ( multiply(sP5_iProver_def,sP5_iProver_def) != sk_c10
    | sk_c9 != sP6_iProver_def
    | ~ sP0_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_593,c_162108]) ).

cnf(c_162298,plain,
    ( multiply(sk_c5,sk_c9) != sk_c10
    | ~ sP0_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_42318,c_63,c_604,c_532,c_540,c_544,c_596,c_1128,c_1409,c_2028,c_3366,c_4460,c_6504,c_14418,c_15327,c_15328,c_18699,c_19550,c_23195,c_30176,c_34343,c_47464,c_78923,c_78927,c_90216,c_96139,c_96385,c_96386,c_96680,c_98542,c_131566,c_149662,c_149729,c_150924,c_162167]) ).

cnf(c_162326,plain,
    ( multiply(sk_c5,sP14_iProver_def) != sk_c10
    | ~ sP0_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(superposition,[status(thm)],[c_596,c_162298]) ).

cnf(c_162547,plain,
    ( ~ sP0_iProver_def
    | sk_c10 = sP18_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_162326,c_604,c_532,c_540,c_596,c_1128,c_3366,c_6504,c_14418,c_15327,c_15328,c_18699,c_19550,c_23195,c_30176,c_34343,c_47464,c_78923,c_78927,c_90216,c_96139,c_96385,c_96386,c_96680,c_98542,c_131566,c_149662,c_149729,c_150924,c_162167]) ).

cnf(c_162549,plain,
    sk_c10 = sP18_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_162547,c_532,c_3052,c_3101,c_3472,c_6504,c_14418,c_15327,c_15328,c_18699,c_18809,c_19550,c_19618,c_20738,c_34343,c_62978,c_78923,c_78927,c_92055,c_148372,c_149447,c_156339,c_162547]) ).

cnf(c_162562,plain,
    ( sk_c9 = sP16_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_160025,c_162549]) ).

cnf(c_162570,plain,
    multiply(sk_c6,sP18_iProver_def) = sP14_iProver_def,
    inference(demodulation,[status(thm)],[c_158109,c_162549]) ).

cnf(c_162571,plain,
    multiply(sP9_iProver_def,sP14_iProver_def) = sP18_iProver_def,
    inference(demodulation,[status(thm)],[c_158071,c_162549]) ).

cnf(c_162603,plain,
    ( ~ sP2_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_150428,c_162549]) ).

cnf(c_162610,plain,
    multiply(sP18_iProver_def,sP6_iProver_def) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_148113,c_162549]) ).

cnf(c_162611,plain,
    multiply(sk_c9,sP18_iProver_def) = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_148111,c_162549]) ).

cnf(c_162613,plain,
    ( ~ sP0_iProver_def
    | sP9_iProver_def = sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_95661,c_162549]) ).

cnf(c_162616,plain,
    ( identity != sP18_iProver_def
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_95630,c_162549]) ).

cnf(c_162647,plain,
    ( identity = sP18_iProver_def
    | sP11_iProver_def = sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_42815,c_162549]) ).

cnf(c_162648,plain,
    ( sP8_iProver_def = sP18_iProver_def
    | sP9_iProver_def = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_41043,c_162549]) ).

cnf(c_162714,plain,
    multiply(sP8_iProver_def,sP15_iProver_def) = sP18_iProver_def,
    inference(demodulation,[status(thm)],[c_6755,c_162549]) ).

cnf(c_162727,plain,
    ( multiply(X0,sP18_iProver_def) != sk_c9
    | inverse(X0) != sP18_iProver_def
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_550,c_162549]) ).

cnf(c_162735,plain,
    multiply(sP18_iProver_def,sk_c3) = sP16_iProver_def,
    inference(demodulation,[status(thm)],[c_542,c_162549]) ).

cnf(c_162738,plain,
    ( sk_c3 = sP15_iProver_def
    | sP9_iProver_def = sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_562,c_162549]) ).

cnf(c_162739,plain,
    ( sk_c9 = sP14_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_560,c_162549]) ).

cnf(c_162740,plain,
    ( sk_c9 = sP5_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_557,c_162549]) ).

cnf(c_162741,plain,
    ( sk_c9 = sP12_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_556,c_162549]) ).

cnf(c_162742,plain,
    ( sk_c9 = sP11_iProver_def
    | sP8_iProver_def = sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_555,c_162549]) ).

cnf(c_162747,plain,
    sk_c1 = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_162610,c_33817]) ).

cnf(c_162963,plain,
    inverse(sP16_iProver_def) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_147231,c_162747]) ).

cnf(c_163060,plain,
    sP8_iProver_def = sP18_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_162603,c_604,c_532,c_535,c_539,c_540,c_543,c_544,c_1128,c_1306,c_1669,c_1753,c_1813,c_1884,c_1940,c_1991,c_2028,c_3052,c_3101,c_3472,c_3626,c_4460,c_5578,c_5661,c_5755,c_6231,c_6504,c_7882,c_12231,c_12237,c_14418,c_14866,c_15316,c_15327,c_15328,c_18699,c_18809,c_19550,c_19618,c_20738,c_32033,c_32065,c_34343,c_42797,c_55888,c_62978,c_66589,c_68539,c_68914,c_68915,c_78923,c_78927,c_83936,c_92055,c_96139,c_96385,c_96386,c_96680,c_96681,c_97460,c_98174,c_98542,c_118657,c_124832,c_124829,c_131566,c_131694,c_145197,c_148372,c_149447,c_156339,c_158416,c_161143,c_161342,c_162547,c_162603,c_162739,c_162740,c_162741,c_162742,c_162648,c_162562]) ).

cnf(c_163063,plain,
    multiply(sP9_iProver_def,sP14_iProver_def) = sP8_iProver_def,
    inference(demodulation,[status(thm)],[c_162571,c_163060]) ).

cnf(c_163065,plain,
    sk_c10 = sP8_iProver_def,
    inference(demodulation,[status(thm)],[c_162549,c_163060]) ).

cnf(c_163066,plain,
    multiply(sP16_iProver_def,sP8_iProver_def) = sk_c9,
    inference(demodulation,[status(thm)],[c_147323,c_163060]) ).

cnf(c_163148,plain,
    ( sk_c3 = sP15_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_162738,c_163060]) ).

cnf(c_163195,plain,
    multiply(sk_c9,sP8_iProver_def) = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_162611,c_163060]) ).

cnf(c_163226,plain,
    multiply(sP8_iProver_def,sP15_iProver_def) = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_162714,c_163060]) ).

cnf(c_163233,plain,
    multiply(inverse(sP8_iProver_def),sP8_iProver_def) = sP15_iProver_def,
    inference(superposition,[status(thm)],[c_163226,c_28563]) ).

cnf(c_163236,plain,
    identity = sP15_iProver_def,
    inference(light_normalisation,[status(thm)],[c_163233,c_50077,c_52019]) ).

cnf(c_163264,plain,
    inverse(sP15_iProver_def) = sP15_iProver_def,
    inference(demodulation,[status(thm)],[c_30343,c_163236]) ).

cnf(c_163265,plain,
    multiply(X0,sP15_iProver_def) = X0,
    inference(demodulation,[status(thm)],[c_30313,c_163236]) ).

cnf(c_163314,plain,
    multiply(sP8_iProver_def,sk_c3) = sP16_iProver_def,
    inference(light_normalisation,[status(thm)],[c_162735,c_163060]) ).

cnf(c_163361,plain,
    multiply(sk_c6,sP8_iProver_def) = sP14_iProver_def,
    inference(light_normalisation,[status(thm)],[c_162570,c_163060]) ).

cnf(c_163650,plain,
    multiply(sP9_iProver_def,multiply(sP14_iProver_def,X0)) = multiply(sP8_iProver_def,X0),
    inference(superposition,[status(thm)],[c_163063,c_98]) ).

cnf(c_163654,plain,
    ~ sP0_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_162613,c_532,c_540,c_587,c_1128,c_2160,c_3052,c_3101,c_3252,c_3371,c_3472,c_6504,c_13321,c_14418,c_14725,c_15327,c_15328,c_18699,c_18809,c_19550,c_19618,c_20738,c_23195,c_30176,c_34343,c_35646,c_42815,c_47464,c_62978,c_78923,c_78927,c_92055,c_96139,c_96385,c_96386,c_96680,c_98542,c_131566,c_148372,c_149447,c_149662,c_149729,c_150906,c_156339,c_162151,c_162547,c_162616]) ).

cnf(c_163772,plain,
    ( multiply(X0,sP8_iProver_def) != sk_c9
    | inverse(X0) != sP8_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_162727,c_163060]) ).

cnf(c_163785,plain,
    ( inverse(sk_c6) != sP8_iProver_def
    | sk_c9 != sP14_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_163361,c_163772]) ).

cnf(c_163789,plain,
    ( sk_c9 != sP14_iProver_def
    | sP8_iProver_def != sP9_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_163785,c_535]) ).

cnf(c_164194,plain,
    identity = sP18_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_162647,c_532,c_540,c_587,c_1128,c_2160,c_3052,c_3101,c_3252,c_3371,c_3472,c_6504,c_13321,c_13727,c_14418,c_14725,c_15327,c_15328,c_18699,c_18809,c_19550,c_19618,c_20738,c_23195,c_30176,c_34343,c_34393,c_34568,c_35646,c_36183,c_36250,c_42815,c_47464,c_62978,c_78923,c_78927,c_92055,c_96139,c_96385,c_96386,c_96680,c_98542,c_131566,c_148372,c_148944,c_149447,c_149662,c_149729,c_150906,c_156339,c_156305,c_158416,c_162151,c_162547,c_162616]) ).

cnf(c_164196,plain,
    sP8_iProver_def = sP15_iProver_def,
    inference(light_normalisation,[status(thm)],[c_164194,c_163060,c_163236]) ).

cnf(c_164198,plain,
    multiply(X0,sP8_iProver_def) = X0,
    inference(demodulation,[status(thm)],[c_163265,c_164196]) ).

cnf(c_164209,plain,
    inverse(sP8_iProver_def) = sP8_iProver_def,
    inference(demodulation,[status(thm)],[c_163264,c_164196]) ).

cnf(c_164210,plain,
    identity = sP8_iProver_def,
    inference(demodulation,[status(thm)],[c_163236,c_164196]) ).

cnf(c_164211,plain,
    ( sk_c3 = sP8_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_163148,c_164196]) ).

cnf(c_164219,plain,
    ( sk_c9 = sP14_iProver_def
    | sk_c3 = sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_569,c_164196]) ).

cnf(c_164220,plain,
    ( sk_c9 = sP5_iProver_def
    | sk_c3 = sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_566,c_164196]) ).

cnf(c_164221,plain,
    ( sk_c9 = sP12_iProver_def
    | sk_c3 = sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_565,c_164196]) ).

cnf(c_164222,plain,
    ( sk_c9 = sP11_iProver_def
    | sk_c3 = sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_564,c_164196]) ).

cnf(c_164223,plain,
    ( sk_c6 = sP7_iProver_def
    | sk_c3 = sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_561,c_164196]) ).

cnf(c_164224,plain,
    sk_c2 = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_164209,c_52019]) ).

cnf(c_164248,plain,
    sk_c9 = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_163195,c_164198]) ).

cnf(c_164251,plain,
    sk_c6 = sP14_iProver_def,
    inference(demodulation,[status(thm)],[c_163361,c_164198]) ).

cnf(c_164255,plain,
    sk_c9 = sP16_iProver_def,
    inference(demodulation,[status(thm)],[c_163066,c_164198]) ).

cnf(c_164280,plain,
    inverse(sP16_iProver_def) = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_532,c_164255]) ).

cnf(c_164281,plain,
    sP5_iProver_def = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_164280,c_162963]) ).

cnf(c_164289,plain,
    sk_c8 = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_148115,c_164281]) ).

cnf(c_164307,plain,
    multiply(sP9_iProver_def,multiply(sP14_iProver_def,X0)) = X0,
    inference(demodulation,[status(thm)],[c_3773,c_164251]) ).

cnf(c_164309,plain,
    multiply(sP8_iProver_def,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_164307,c_163650]) ).

cnf(c_164311,plain,
    sk_c3 = sP16_iProver_def,
    inference(demodulation,[status(thm)],[c_163314,c_164309]) ).

cnf(c_164332,plain,
    sk_c9 = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_164248,c_164281]) ).

cnf(c_164333,plain,
    sk_c3 = sP8_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_164219,c_604,c_532,c_533,c_535,c_536,c_539,c_540,c_543,c_544,c_587,c_1128,c_1207,c_1306,c_1560,c_1669,c_1753,c_1813,c_1884,c_1940,c_1991,c_2028,c_2160,c_3052,c_3050,c_3101,c_3252,c_3371,c_3392,c_3472,c_3626,c_3641,c_4460,c_5578,c_5661,c_5755,c_6231,c_6504,c_7183,c_7882,c_8178,c_12231,c_12237,c_12250,c_13321,c_14418,c_14431,c_14725,c_14866,c_15316,c_15327,c_15328,c_18699,c_18809,c_19550,c_19618,c_20738,c_20983,c_23195,c_23221,c_27040,c_30176,c_32033,c_32065,c_34318,c_34343,c_35646,c_42797,c_42815,c_47464,c_55888,c_59426,c_62978,c_64124,c_66589,c_68539,c_68914,c_68915,c_74802,c_78923,c_78927,c_83936,c_86462,c_90542,c_92055,c_93974,c_95651,c_96138,c_96139,c_96385,c_96386,c_96680,c_96681,c_97418,c_97460,c_98174,c_98542,c_98850,c_102787,c_104736,c_105272,c_108898,c_118657,c_124832,c_124829,c_131566,c_131694,c_137971,c_145197,c_148372,c_148962,c_149447,c_149662,c_149729,c_150906,c_154946,c_156339,c_158416,c_159788,c_161143,c_161342,c_162151,c_162547,c_162603,c_162616,c_162739,c_162740,c_162741,c_162742,c_162648,c_162562,c_163789,c_164251,c_164222,c_164221,c_164220,c_164219,c_164223,c_164211]) ).

cnf(c_164346,plain,
    sP5_iProver_def = sP16_iProver_def,
    inference(light_normalisation,[status(thm)],[c_164255,c_164332]) ).

cnf(c_164349,plain,
    sP5_iProver_def = sP17_iProver_def,
    inference(demodulation,[status(thm)],[c_147170,c_164346]) ).

cnf(c_164358,plain,
    sP5_iProver_def = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_164311,c_164333,c_164346]) ).

cnf(c_164360,plain,
    sk_c2 = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_164224,c_164358]) ).

cnf(c_164365,plain,
    sk_c10 = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_163065,c_164358]) ).

cnf(c_168191,plain,
    sk_c9 != sP5_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_3050,c_100,c_603,c_604,c_534,c_543,c_1298,c_2200,c_3050,c_3449,c_3624,c_3873,c_6352,c_6504,c_7200,c_8175,c_8969,c_13908,c_14866,c_14865,c_15051,c_15050,c_29254,c_29681,c_42530,c_51838,c_51839,c_53219,c_58661,c_59426,c_65535,c_65623,c_66064,c_74988,c_75001,c_96127,c_96174,c_96246,c_96591,c_96981,c_97418,c_100932,c_101776,c_137744,c_147170,c_148115,c_148372,c_148664,c_149460,c_162549,c_163060,c_163654,c_164289,c_164255,c_164248,c_164210,c_164349,c_164365,c_164360]) ).

cnf(c_168193,plain,
    sP5_iProver_def != sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_168191,c_164332]) ).

cnf(c_168194,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_168193]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP325-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 23:33:10 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  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
% 39.96/6.22  % SZS status Started for theBenchmark.p
% 39.96/6.22  % SZS status Unsatisfiable for theBenchmark.p
% 39.96/6.22  
% 39.96/6.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 39.96/6.22  
% 39.96/6.22  ------  iProver source info
% 39.96/6.22  
% 39.96/6.22  git: date: 2024-05-02 19:28:25 +0000
% 39.96/6.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 39.96/6.22  git: non_committed_changes: false
% 39.96/6.22  
% 39.96/6.22  ------ Parsing...successful
% 39.96/6.22  
% 39.96/6.22  
% 39.96/6.22  
% 39.96/6.22  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 39.96/6.22  
% 39.96/6.22  ------ Preprocessing... gs_s  sp: 5 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 39.96/6.22  
% 39.96/6.22  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 39.96/6.22  ------ Proving...
% 39.96/6.22  ------ Problem Properties 
% 39.96/6.22  
% 39.96/6.22  
% 39.96/6.22  clauses                                 70
% 39.96/6.22  conjectures                             52
% 39.96/6.22  EPR                                     47
% 39.96/6.22  Horn                                    24
% 39.96/6.22  unary                                   19
% 39.96/6.22  binary                                  45
% 39.96/6.22  lits                                    131
% 39.96/6.22  lits eq                                 121
% 39.96/6.22  fd_pure                                 0
% 39.96/6.22  fd_pseudo                               0
% 39.96/6.22  fd_cond                                 0
% 39.96/6.22  fd_pseudo_cond                          0
% 39.96/6.22  AC symbols                              0
% 39.96/6.22  
% 39.96/6.22  ------ Schedule dynamic 5 is on 
% 39.96/6.22  
% 39.96/6.22  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 39.96/6.22  
% 39.96/6.22  
% 39.96/6.22  ------ 
% 39.96/6.22  Current options:
% 39.96/6.22  ------ 
% 39.96/6.22  
% 39.96/6.22  
% 39.96/6.22  
% 39.96/6.22  
% 39.96/6.22  ------ Proving...
% 39.96/6.22  
% 39.96/6.22  
% 39.96/6.22  % SZS status Unsatisfiable for theBenchmark.p
% 39.96/6.22  
% 39.96/6.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.96/6.24  
% 39.96/6.24  
%------------------------------------------------------------------------------