%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP340-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 : Mon Jun 24 06:59:48 EDT 2024

% Result   : Unsatisfiable 101.48s 14.28s
% Output   : CNFRefutation 101.48s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

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

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

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

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

cnf(c_55,negated_conjecture,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | multiply(sk_c8,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_57,negated_conjecture,
    ( multiply(sk_c10,sk_c11) = sk_c9
    | inverse(sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

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

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

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

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

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

cnf(c_67,negated_conjecture,
    ( inverse(sk_c6) = sk_c8
    | inverse(sk_c1) = sk_c11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

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

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

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

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

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

cnf(c_77,negated_conjecture,
    ( multiply(sk_c1,sk_c10) = sk_c11
    | inverse(sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

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

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

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

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

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

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

cnf(c_85,negated_conjecture,
    ( multiply(sk_c8,sk_c10) = sk_c11
    | inverse(sk_c2) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

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

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

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

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

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

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

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

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

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

cnf(c_96,negated_conjecture,
    ( multiply(sk_c2,sk_c9) = sk_c10
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).

cnf(c_97,negated_conjecture,
    ( multiply(sk_c2,sk_c9) = sk_c10
    | inverse(sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).

cnf(c_98,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | multiply(sk_c2,sk_c9) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).

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

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

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

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

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

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

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

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

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

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

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

cnf(c_574,plain,
    multiply(sk_c10,sk_c11) = sP5_iProver_def,
    definition ).

cnf(c_575,plain,
    multiply(sk_c7,sk_c8) = sP6_iProver_def,
    definition ).

cnf(c_576,plain,
    multiply(sk_c2,sk_c9) = sP7_iProver_def,
    definition ).

cnf(c_577,plain,
    inverse(sk_c6) = sP8_iProver_def,
    definition ).

cnf(c_578,plain,
    inverse(sk_c7) = sP9_iProver_def,
    definition ).

cnf(c_579,plain,
    multiply(sk_c8,sk_c10) = sP10_iProver_def,
    definition ).

cnf(c_580,plain,
    inverse(sk_c5) = sP11_iProver_def,
    definition ).

cnf(c_581,plain,
    multiply(sk_c5,sk_c8) = sP12_iProver_def,
    definition ).

cnf(c_582,plain,
    inverse(sk_c4) = sP13_iProver_def,
    definition ).

cnf(c_583,plain,
    multiply(sk_c4,sk_c10) = sP14_iProver_def,
    definition ).

cnf(c_584,plain,
    inverse(sk_c3) = sP15_iProver_def,
    definition ).

cnf(c_585,plain,
    multiply(sk_c3,sk_c11) = sP16_iProver_def,
    definition ).

cnf(c_586,plain,
    inverse(sk_c2) = sP17_iProver_def,
    definition ).

cnf(c_587,plain,
    multiply(sk_c1,sk_c10) = sP18_iProver_def,
    definition ).

cnf(c_588,plain,
    inverse(sk_c1) = sP19_iProver_def,
    definition ).

cnf(c_589,negated_conjecture,
    ( sP5_iProver_def != sk_c9
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_573,c_574]) ).

cnf(c_590,negated_conjecture,
    ( inverse(multiply(X0,inverse(X1))) != inverse(X1)
    | multiply(X1,inverse(X1)) != sk_c11
    | multiply(inverse(X1),sk_c10) != sk_c11
    | inverse(X0) != multiply(X0,inverse(X1))
    | ~ sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_572]) ).

cnf(c_591,negated_conjecture,
    ( multiply(X0,sk_c10) != sk_c11
    | inverse(X0) != sk_c11
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_571]) ).

cnf(c_592,negated_conjecture,
    ( multiply(X0,sk_c10) != sk_c9
    | inverse(X0) != sk_c10
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_570]) ).

cnf(c_593,negated_conjecture,
    ( multiply(X0,sk_c9) != sk_c10
    | inverse(X0) != sk_c10
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_569]) ).

cnf(c_594,negated_conjecture,
    ( multiply(X0,sk_c11) != sk_c10
    | inverse(X0) != sk_c11
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_568]) ).

cnf(c_595,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP7_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_98,c_576,c_575]) ).

cnf(c_596,negated_conjecture,
    ( sP7_iProver_def = sk_c10
    | sP8_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_97,c_577]) ).

cnf(c_597,negated_conjecture,
    ( sP7_iProver_def = sk_c10
    | sP9_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_96,c_578]) ).

cnf(c_598,negated_conjecture,
    ( sP7_iProver_def = sk_c10
    | sP10_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_95,c_579]) ).

cnf(c_599,negated_conjecture,
    ( sP7_iProver_def = sk_c10
    | sP11_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_94,c_580]) ).

cnf(c_600,negated_conjecture,
    ( sP7_iProver_def = sk_c10
    | sP12_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_93,c_581]) ).

cnf(c_601,negated_conjecture,
    ( sP7_iProver_def = sk_c10
    | sP13_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_92,c_582]) ).

cnf(c_602,negated_conjecture,
    ( sP7_iProver_def = sk_c10
    | sP14_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_91,c_583]) ).

cnf(c_603,negated_conjecture,
    ( sP7_iProver_def = sk_c10
    | sP15_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_90,c_584]) ).

cnf(c_604,negated_conjecture,
    ( sP7_iProver_def = sk_c10
    | sP16_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_89,c_585]) ).

cnf(c_606,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP17_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_87]) ).

cnf(c_607,negated_conjecture,
    ( sP9_iProver_def = sk_c6
    | sP17_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_86]) ).

cnf(c_608,negated_conjecture,
    ( sP10_iProver_def = sk_c11
    | sP17_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_85]) ).

cnf(c_609,negated_conjecture,
    ( sP11_iProver_def = sk_c8
    | sP17_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_84]) ).

cnf(c_610,negated_conjecture,
    ( sP12_iProver_def = sk_c11
    | sP17_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_83]) ).

cnf(c_611,negated_conjecture,
    ( sP13_iProver_def = sk_c10
    | sP17_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_82]) ).

cnf(c_612,negated_conjecture,
    ( sP14_iProver_def = sk_c9
    | sP17_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_81]) ).

cnf(c_613,negated_conjecture,
    ( sP15_iProver_def = sk_c11
    | sP17_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_80]) ).

cnf(c_614,negated_conjecture,
    ( sP16_iProver_def = sk_c10
    | sP17_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_79]) ).

cnf(c_616,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP18_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_77]) ).

cnf(c_619,negated_conjecture,
    ( sP11_iProver_def = sk_c8
    | sP18_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_74]) ).

cnf(c_620,negated_conjecture,
    ( sP12_iProver_def = sk_c11
    | sP18_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_73]) ).

cnf(c_621,negated_conjecture,
    ( sP13_iProver_def = sk_c10
    | sP18_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_72]) ).

cnf(c_623,negated_conjecture,
    ( sP15_iProver_def = sk_c11
    | sP18_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_70]) ).

cnf(c_624,negated_conjecture,
    ( sP16_iProver_def = sk_c10
    | sP18_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_69]) ).

cnf(c_626,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP19_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_67]) ).

cnf(c_629,negated_conjecture,
    ( sP11_iProver_def = sk_c8
    | sP19_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_630,negated_conjecture,
    ( sP12_iProver_def = sk_c11
    | sP19_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_631,negated_conjecture,
    ( sP13_iProver_def = sk_c10
    | sP19_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_633,negated_conjecture,
    ( sP15_iProver_def = sk_c11
    | sP19_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_634,negated_conjecture,
    ( sP16_iProver_def = sk_c10
    | sP19_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_636,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP8_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_638,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP10_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_639,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP11_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_640,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP12_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_641,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP13_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_642,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP14_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_643,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP15_iProver_def = sk_c11 ),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_644,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP16_iProver_def = sk_c10 ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_645,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_646,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_651,plain,
    sk_c10 = sk_c10,
    inference(instantiation,[status(thm)],[c_645]) ).

cnf(c_979,plain,
    ( sk_c10 = sP7_iProver_def
    | sP8_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_596,c_599]) ).

cnf(c_1097,plain,
    ( sk_c10 = sP17_iProver_def
    | sP8_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_609,c_606]) ).

cnf(c_1164,plain,
    ( multiply(sk_c4,sP16_iProver_def) = sP14_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_604,c_583]) ).

cnf(c_1165,plain,
    ( multiply(sk_c4,sP13_iProver_def) = sP14_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_601,c_583]) ).

cnf(c_1170,plain,
    ( multiply(sk_c3,sP12_iProver_def) = sP16_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_610,c_585]) ).

cnf(c_1172,plain,
    ( multiply(sk_c3,sP15_iProver_def) = sP16_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_603,c_585]) ).

cnf(c_1173,plain,
    ( multiply(sk_c3,sP12_iProver_def) = sP16_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_600,c_585]) ).

cnf(c_1191,plain,
    multiply(sP15_iProver_def,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_584,c_101]) ).

cnf(c_1192,plain,
    multiply(sP13_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_582,c_101]) ).

cnf(c_1196,plain,
    multiply(sP19_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_588,c_101]) ).

cnf(c_1204,plain,
    ( multiply(sk_c1,sP17_iProver_def) = sP18_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_611,c_587]) ).

cnf(c_1224,plain,
    ( sk_c9 != X0
    | sP5_iProver_def != X0
    | sP5_iProver_def = sk_c9 ),
    inference(instantiation,[status(thm)],[c_646]) ).

cnf(c_1241,plain,
    ( multiply(sk_c3,sP15_iProver_def) = sP16_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_613,c_585]) ).

cnf(c_1267,plain,
    ( multiply(sk_c1,sP17_iProver_def) = sP18_iProver_def
    | sk_c10 = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_614,c_587]) ).

cnf(c_1430,plain,
    ( sk_c11 = sP18_iProver_def
    | sP8_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_619,c_616]) ).

cnf(c_1544,plain,
    ( sk_c9 != sP5_iProver_def
    | sP5_iProver_def != sP5_iProver_def
    | sP5_iProver_def = sk_c9 ),
    inference(instantiation,[status(thm)],[c_1224]) ).

cnf(c_1868,plain,
    ( sk_c11 = sP19_iProver_def
    | sP8_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_629,c_626]) ).

cnf(c_1911,plain,
    ( multiply(sk_c3,sP19_iProver_def) = sP16_iProver_def
    | sk_c11 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_630,c_585]) ).

cnf(c_1981,plain,
    ( multiply(sk_c3,sP19_iProver_def) = sP16_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_631,c_585]) ).

cnf(c_2065,plain,
    ( multiply(sk_c3,sP19_iProver_def) = sP16_iProver_def
    | sk_c11 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_633,c_585]) ).

cnf(c_2133,plain,
    ( multiply(sk_c3,sP19_iProver_def) = sP16_iProver_def
    | sk_c10 = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_634,c_585]) ).

cnf(c_2361,plain,
    ( sk_c9 = sP5_iProver_def
    | sP8_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_639,c_636]) ).

cnf(c_2481,plain,
    ( sk_c11 != X0
    | sP15_iProver_def != X0
    | sk_c11 = sP15_iProver_def ),
    inference(instantiation,[status(thm)],[c_646]) ).

cnf(c_2611,plain,
    sk_c11 = sk_c11,
    inference(instantiation,[status(thm)],[c_645]) ).

cnf(c_2627,plain,
    ( sP5_iProver_def != sP14_iProver_def
    | sk_c9 = sP5_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_642,c_589]) ).

cnf(c_2629,plain,
    ( sk_c11 = sP12_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_640,c_589]) ).

cnf(c_2753,plain,
    ( inverse(sk_c1) != sk_c11
    | sk_c11 != sP18_iProver_def
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_587,c_591]) ).

cnf(c_2763,plain,
    ( sk_c11 != sP18_iProver_def
    | sk_c11 != sP19_iProver_def
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2753,c_588]) ).

cnf(c_2849,plain,
    sP5_iProver_def = sP5_iProver_def,
    inference(instantiation,[status(thm)],[c_645]) ).

cnf(c_2879,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_101,c_102]) ).

cnf(c_2881,plain,
    multiply(sP15_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1191,c_102]) ).

cnf(c_2882,plain,
    multiply(sP13_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1192,c_102]) ).

cnf(c_2886,plain,
    multiply(sP19_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1196,c_102]) ).

cnf(c_2891,plain,
    multiply(sP19_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2886,c_100]) ).

cnf(c_2895,plain,
    multiply(sP13_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2882,c_100]) ).

cnf(c_2896,plain,
    multiply(sP15_iProver_def,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2881,c_100]) ).

cnf(c_3503,plain,
    ( inverse(sk_c2) != sk_c10
    | sk_c10 != sP7_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_576,c_593]) ).

cnf(c_3504,plain,
    ( inverse(identity) != sk_c10
    | sk_c10 != sk_c9
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_100,c_593]) ).

cnf(c_3520,plain,
    ( sk_c10 != sP7_iProver_def
    | sk_c10 != sP17_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3503,c_586]) ).

cnf(c_3600,plain,
    ( inverse(sk_c3) != sk_c11
    | sk_c10 != sP16_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_585,c_594]) ).

cnf(c_3602,plain,
    ( inverse(inverse(sk_c11)) != sk_c11
    | sk_c10 != identity
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_101,c_594]) ).

cnf(c_3623,plain,
    ( sk_c10 != sP16_iProver_def
    | sk_c11 != sP15_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3600,c_584]) ).

cnf(c_5552,plain,
    multiply(sP19_iProver_def,sP18_iProver_def) = sk_c10,
    inference(superposition,[status(thm)],[c_587,c_2891]) ).

cnf(c_5829,plain,
    multiply(sP13_iProver_def,sP14_iProver_def) = sk_c10,
    inference(superposition,[status(thm)],[c_583,c_2895]) ).

cnf(c_5841,plain,
    multiply(sP15_iProver_def,sP16_iProver_def) = sk_c11,
    inference(superposition,[status(thm)],[c_585,c_2896]) ).

cnf(c_6359,plain,
    ( sk_c11 != sk_c11
    | sP15_iProver_def != sk_c11
    | sk_c11 = sP15_iProver_def ),
    inference(instantiation,[status(thm)],[c_2481]) ).

cnf(c_6744,plain,
    ( multiply(sP13_iProver_def,sP14_iProver_def) = sP16_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_1164,c_2895]) ).

cnf(c_6745,plain,
    ( sk_c10 = sP7_iProver_def
    | sk_c10 = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6744,c_5829]) ).

cnf(c_6756,plain,
    ( multiply(sP13_iProver_def,sP14_iProver_def) = sP13_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_1165,c_2895]) ).

cnf(c_6757,plain,
    ( sk_c10 = sP7_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6756,c_5829]) ).

cnf(c_6824,plain,
    ( multiply(sP15_iProver_def,sP16_iProver_def) = sP12_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_1170,c_2896]) ).

cnf(c_6825,plain,
    ( sk_c10 = sP17_iProver_def
    | sk_c11 = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6824,c_5841]) ).

cnf(c_6848,plain,
    ( multiply(sP15_iProver_def,sP16_iProver_def) = sP15_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_1172,c_2896]) ).

cnf(c_6849,plain,
    ( sk_c10 = sP7_iProver_def
    | sk_c11 = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6848,c_5841]) ).

cnf(c_6860,plain,
    ( multiply(sP15_iProver_def,sP16_iProver_def) = sP12_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_1173,c_2896]) ).

cnf(c_6861,plain,
    ( sk_c10 = sP7_iProver_def
    | sk_c11 = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6860,c_5841]) ).

cnf(c_6909,plain,
    ( multiply(sP19_iProver_def,sP18_iProver_def) = sP17_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1204,c_2891]) ).

cnf(c_6910,plain,
    ( sk_c10 = sP13_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6909,c_5552]) ).

cnf(c_7224,plain,
    ( multiply(sP15_iProver_def,sP16_iProver_def) = sP15_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_1241,c_2896]) ).

cnf(c_7225,plain,
    ( sk_c10 = sP17_iProver_def
    | sk_c11 = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_7224,c_5841]) ).

cnf(c_7278,plain,
    ( multiply(sP19_iProver_def,sP18_iProver_def) = sP17_iProver_def
    | sk_c10 = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_1267,c_2891]) ).

cnf(c_7279,plain,
    ( sk_c10 = sP16_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_7278,c_5552]) ).

cnf(c_9465,plain,
    ( multiply(sP15_iProver_def,sP16_iProver_def) = sP19_iProver_def
    | sk_c11 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_1911,c_2896]) ).

cnf(c_9466,plain,
    ( sk_c11 = sP12_iProver_def
    | sk_c11 = sP19_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9465,c_5841]) ).

cnf(c_9598,plain,
    ( multiply(sP15_iProver_def,sP16_iProver_def) = sP19_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1981,c_2896]) ).

cnf(c_9599,plain,
    ( sk_c10 = sP13_iProver_def
    | sk_c11 = sP19_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9598,c_5841]) ).

cnf(c_9694,plain,
    ( multiply(sP15_iProver_def,sP16_iProver_def) = sP19_iProver_def
    | sk_c11 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_2065,c_2896]) ).

cnf(c_9695,plain,
    ( sk_c11 = sP15_iProver_def
    | sk_c11 = sP19_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9694,c_5841]) ).

cnf(c_9850,plain,
    ( multiply(sP15_iProver_def,sP16_iProver_def) = sP19_iProver_def
    | sk_c10 = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_2133,c_2896]) ).

cnf(c_9851,plain,
    ( sk_c10 = sP16_iProver_def
    | sk_c11 = sP19_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9850,c_5841]) ).

cnf(c_14746,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2879,c_100]) ).

cnf(c_14772,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_100,c_14746]) ).

cnf(c_14773,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_101,c_14746]) ).

cnf(c_14957,plain,
    multiply(inverse(sP15_iProver_def),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_2896,c_14746]) ).

cnf(c_14962,plain,
    multiply(inverse(sP19_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_2891,c_14746]) ).

cnf(c_14995,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_14746,c_14746]) ).

cnf(c_15839,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_14773,c_14995]) ).

cnf(c_15869,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_15839,c_14772]) ).

cnf(c_15914,plain,
    ( sk_c11 != sP19_iProver_def
    | ~ sP3_iProver_def
    | sP8_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_1430,c_2763]) ).

cnf(c_15921,plain,
    ( sk_c11 != sP19_iProver_def
    | ~ sP3_iProver_def
    | sk_c10 = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_624,c_2763]) ).

cnf(c_15922,plain,
    ( sk_c11 != sP19_iProver_def
    | ~ sP3_iProver_def
    | sk_c11 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_623,c_2763]) ).

cnf(c_15923,plain,
    ( sk_c11 != sP19_iProver_def
    | ~ sP3_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_621,c_2763]) ).

cnf(c_15924,plain,
    ( sk_c11 != sP19_iProver_def
    | ~ sP3_iProver_def
    | sk_c11 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_620,c_2763]) ).

cnf(c_16083,plain,
    ( ~ sP3_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_15923,c_9599,c_15923]) ).

cnf(c_16095,plain,
    ( ~ sP3_iProver_def
    | sk_c11 = sP12_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_15924,c_9466,c_15924]) ).

cnf(c_16101,plain,
    ( sk_c11 = sP12_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP4_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_2629,c_16095]) ).

cnf(c_16157,plain,
    ( sP0_iProver_def
    | sk_c11 = sP12_iProver_def
    | sP2_iProver_def
    | sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_16101,c_3520,c_6825,c_6861,c_16101]) ).

cnf(c_16158,plain,
    ( sk_c11 = sP12_iProver_def
    | sP0_iProver_def
    | sP2_iProver_def
    | sP4_iProver_def ),
    inference(renaming,[status(thm)],[c_16157]) ).

cnf(c_17088,plain,
    ( sk_c10 != sP17_iProver_def
    | sP7_iProver_def != sP17_iProver_def
    | ~ sP1_iProver_def
    | sk_c10 = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_614,c_3520]) ).

cnf(c_17089,plain,
    ( sk_c10 != sP17_iProver_def
    | sP7_iProver_def != sP17_iProver_def
    | ~ sP1_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_611,c_3520]) ).

cnf(c_17473,plain,
    multiply(sk_c3,sP15_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_14957,c_101]) ).

cnf(c_17499,plain,
    ( sk_c10 = sP7_iProver_def
    | identity = sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_1172,c_17473]) ).

cnf(c_25372,plain,
    multiply(sk_c1,identity) = inverse(sP19_iProver_def),
    inference(superposition,[status(thm)],[c_14962,c_15839]) ).

cnf(c_25517,plain,
    inverse(sP19_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_25372,c_15839]) ).

cnf(c_25699,plain,
    ( sk_c10 != sk_c9
    | sk_c10 != identity
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3504,c_15869]) ).

cnf(c_25723,plain,
    ( sk_c10 != identity
    | sk_c10 != sP5_iProver_def
    | ~ sP1_iProver_def
    | sk_c11 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_643,c_25699]) ).

cnf(c_25724,plain,
    ( sk_c10 != identity
    | sk_c10 != sP14_iProver_def
    | ~ sP1_iProver_def
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_642,c_25699]) ).

cnf(c_25730,plain,
    ( sk_c10 != identity
    | sk_c10 != sP14_iProver_def
    | ~ sP1_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_612,c_25699]) ).

cnf(c_25731,plain,
    ( sk_c10 != identity
    | sk_c10 != sP14_iProver_def
    | ~ sP1_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_602,c_25699]) ).

cnf(c_26102,plain,
    ( sP5_iProver_def != sP14_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_2627,c_589,c_1544,c_2627,c_2849]) ).

cnf(c_27477,plain,
    ( inverse(inverse(sP19_iProver_def)) != sP19_iProver_def
    | sk_c10 != identity
    | ~ sP0_iProver_def
    | sk_c10 = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_634,c_3602]) ).

cnf(c_27478,plain,
    ( inverse(inverse(sP19_iProver_def)) != sP19_iProver_def
    | sk_c10 != identity
    | ~ sP0_iProver_def
    | sk_c11 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_633,c_3602]) ).

cnf(c_27541,plain,
    ( sk_c10 != identity
    | sP19_iProver_def != sP19_iProver_def
    | ~ sP0_iProver_def
    | sk_c11 = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_27478,c_588,c_25517]) ).

cnf(c_27542,plain,
    ( sk_c10 != identity
    | ~ sP0_iProver_def
    | sk_c11 = sP15_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_27541]) ).

cnf(c_27546,plain,
    ( sk_c10 != identity
    | sP19_iProver_def != sP19_iProver_def
    | ~ sP0_iProver_def
    | sk_c10 = sP16_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_27477,c_588,c_25517]) ).

cnf(c_27547,plain,
    ( sk_c10 != identity
    | ~ sP0_iProver_def
    | sk_c10 = sP16_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_27546]) ).

cnf(c_38893,plain,
    ( inverse(identity) != sk_c10
    | sk_c10 != sk_c9
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_100,c_593]) ).

cnf(c_38964,plain,
    ( inverse(inverse(sk_c11)) != sk_c11
    | sk_c10 != identity
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_101,c_594]) ).

cnf(c_39072,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_101,c_102]) ).

cnf(c_39087,plain,
    ( multiply(X0,multiply(X1,sk_c10)) != sk_c9
    | inverse(multiply(X0,X1)) != sk_c10
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_102,c_592]) ).

cnf(c_57143,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_39072,c_100]) ).

cnf(c_57169,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_100,c_57143]) ).

cnf(c_57170,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_101,c_57143]) ).

cnf(c_57171,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[status(thm)],[c_102,c_57143]) ).

cnf(c_57405,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_57143,c_57143]) ).

cnf(c_65113,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_57170,c_57405]) ).

cnf(c_65142,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_65113,c_57169]) ).

cnf(c_72691,plain,
    ( sk_c10 != sk_c9
    | sk_c10 != identity
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_38893,c_65142]) ).

cnf(c_72706,plain,
    ( sk_c10 != identity
    | sk_c10 != sP14_iProver_def
    | ~ sP1_iProver_def
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_642,c_72691]) ).

cnf(c_74488,plain,
    multiply(inverse(multiply(X0,sk_c4)),multiply(X0,sP14_iProver_def)) = sk_c10,
    inference(superposition,[status(thm)],[c_583,c_57171]) ).

cnf(c_74490,plain,
    multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sP10_iProver_def)) = sk_c10,
    inference(superposition,[status(thm)],[c_579,c_57171]) ).

cnf(c_84875,plain,
    ( ~ sP1_iProver_def
    | sk_c10 = sP16_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_17088,c_3520,c_6745,c_7279]) ).

cnf(c_84881,plain,
    ( ~ sP1_iProver_def
    | sk_c10 = sP13_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_17089,c_3520,c_6757,c_6910]) ).

cnf(c_130347,plain,
    ( sk_c10 != identity
    | ~ sP0_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_38964,c_3623,c_27547,c_27542]) ).

cnf(c_132763,plain,
    multiply(inverse(multiply(inverse(sP14_iProver_def),sk_c4)),identity) = sk_c10,
    inference(superposition,[status(thm)],[c_101,c_74488]) ).

cnf(c_133390,plain,
    inverse(multiply(inverse(sP14_iProver_def),sk_c4)) = sk_c10,
    inference(demodulation,[status(thm)],[c_132763,c_65113]) ).

cnf(c_133392,plain,
    multiply(sk_c10,multiply(inverse(sP14_iProver_def),sk_c4)) = identity,
    inference(superposition,[status(thm)],[c_133390,c_101]) ).

cnf(c_136817,plain,
    multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = multiply(inverse(sP14_iProver_def),sk_c4),
    inference(superposition,[status(thm)],[c_133392,c_57171]) ).

cnf(c_136857,plain,
    multiply(inverse(multiply(X0,sk_c10)),X0) = multiply(inverse(sP14_iProver_def),sk_c4),
    inference(light_normalisation,[status(thm)],[c_136817,c_65113]) ).

cnf(c_140789,plain,
    multiply(inverse(multiply(inverse(sP10_iProver_def),sk_c8)),identity) = sk_c10,
    inference(superposition,[status(thm)],[c_101,c_74490]) ).

cnf(c_141359,plain,
    inverse(multiply(inverse(sP10_iProver_def),sk_c8)) = sk_c10,
    inference(demodulation,[status(thm)],[c_140789,c_65113]) ).

cnf(c_141373,plain,
    multiply(sk_c10,multiply(inverse(sP10_iProver_def),sk_c8)) = identity,
    inference(superposition,[status(thm)],[c_141359,c_101]) ).

cnf(c_141604,plain,
    multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = multiply(inverse(sP10_iProver_def),sk_c8),
    inference(superposition,[status(thm)],[c_141373,c_57171]) ).

cnf(c_141664,plain,
    multiply(inverse(sP10_iProver_def),sk_c8) = multiply(inverse(sP14_iProver_def),sk_c4),
    inference(light_normalisation,[status(thm)],[c_141604,c_65113,c_136857]) ).

cnf(c_142009,plain,
    ( ~ sP1_iProver_def
    | sk_c11 = sP15_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_25723,c_3520,c_6849,c_7225]) ).

cnf(c_142015,plain,
    ( ~ sP1_iProver_def
    | sk_c10 != sP14_iProver_def
    | sk_c10 != identity ),
    inference(global_subsumption_just,[status(thm)],[c_25724,c_3520,c_25731,c_25730]) ).

cnf(c_142016,plain,
    ( sk_c10 != identity
    | sk_c10 != sP14_iProver_def
    | ~ sP1_iProver_def ),
    inference(renaming,[status(thm)],[c_142015]) ).

cnf(c_302041,plain,
    ( ~ sP1_iProver_def
    | sk_c10 != sP14_iProver_def
    | sk_c10 != identity ),
    inference(global_subsumption_just,[status(thm)],[c_72706,c_142016]) ).

cnf(c_302042,plain,
    ( sk_c10 != identity
    | sk_c10 != sP14_iProver_def
    | ~ sP1_iProver_def ),
    inference(renaming,[status(thm)],[c_302041]) ).

cnf(c_302068,plain,
    ( sk_c10 != identity
    | sP14_iProver_def != sP16_iProver_def
    | ~ sP1_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_604,c_302042]) ).

cnf(c_307618,plain,
    ( identity != sP16_iProver_def
    | sP14_iProver_def != sP16_iProver_def
    | ~ sP1_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_604,c_302068]) ).

cnf(c_307959,plain,
    ( sP14_iProver_def != sP16_iProver_def
    | ~ sP1_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_307618,c_17499,c_307618]) ).

cnf(c_323113,plain,
    ( inverse(multiply(inverse(multiply(X0,sk_c10)),X0)) != sk_c10
    | sk_c9 != identity
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_101,c_39087]) ).

cnf(c_323393,plain,
    ( sk_c10 != sk_c10
    | sk_c9 != identity
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_323113,c_141359,c_136857,c_141664]) ).

cnf(c_323394,plain,
    ( sk_c9 != identity
    | ~ sP2_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_323393]) ).

cnf(c_394794,plain,
    ( inverse(sP9_iProver_def) = sP8_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_607,c_577]) ).

cnf(c_394836,plain,
    ( multiply(sk_c10,sP12_iProver_def) = sP5_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_610,c_574]) ).

cnf(c_394861,plain,
    ( multiply(sP8_iProver_def,sk_c10) = sP10_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_606,c_579]) ).

cnf(c_394878,plain,
    ( multiply(sk_c5,sP11_iProver_def) = sP12_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_609,c_581]) ).

cnf(c_394891,plain,
    ( multiply(sk_c4,sP13_iProver_def) = sP14_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_601,c_583]) ).

cnf(c_394898,plain,
    ( multiply(sk_c3,sP15_iProver_def) = sP16_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_603,c_585]) ).

cnf(c_394962,plain,
    ( multiply(sk_c3,sP15_iProver_def) = sP16_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_613,c_585]) ).

cnf(c_394982,plain,
    ( multiply(sk_c1,sP17_iProver_def) = sP18_iProver_def
    | sk_c10 = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_614,c_587]) ).

cnf(c_395133,plain,
    multiply(sP15_iProver_def,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_584,c_101]) ).

cnf(c_395134,plain,
    multiply(sP13_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_582,c_101]) ).

cnf(c_395135,plain,
    multiply(sP11_iProver_def,sk_c5) = identity,
    inference(superposition,[status(thm)],[c_580,c_101]) ).

cnf(c_395136,plain,
    multiply(sP9_iProver_def,sk_c7) = identity,
    inference(superposition,[status(thm)],[c_578,c_101]) ).

cnf(c_395137,plain,
    multiply(sP8_iProver_def,sk_c6) = identity,
    inference(superposition,[status(thm)],[c_577,c_101]) ).

cnf(c_395138,plain,
    multiply(sP19_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_588,c_101]) ).

cnf(c_395139,plain,
    multiply(sP17_iProver_def,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_586,c_101]) ).

cnf(c_395551,plain,
    ( sk_c11 = sP12_iProver_def
    | sP18_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_630,c_620]) ).

cnf(c_396001,plain,
    ( sk_c9 = sP5_iProver_def
    | sP8_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_639,c_636]) ).

cnf(c_396201,plain,
    multiply(sk_c10,multiply(sk_c11,X0)) = multiply(sP5_iProver_def,X0),
    inference(superposition,[status(thm)],[c_574,c_102]) ).

cnf(c_396202,plain,
    multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sP16_iProver_def,X0),
    inference(superposition,[status(thm)],[c_585,c_102]) ).

cnf(c_396203,plain,
    multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sP14_iProver_def,X0),
    inference(superposition,[status(thm)],[c_583,c_102]) ).

cnf(c_396204,plain,
    multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sP12_iProver_def,X0),
    inference(superposition,[status(thm)],[c_581,c_102]) ).

cnf(c_396205,plain,
    multiply(sk_c8,multiply(sk_c10,X0)) = multiply(sP10_iProver_def,X0),
    inference(superposition,[status(thm)],[c_579,c_102]) ).

cnf(c_396206,plain,
    multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sP6_iProver_def,X0),
    inference(superposition,[status(thm)],[c_575,c_102]) ).

cnf(c_396207,plain,
    multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sP18_iProver_def,X0),
    inference(superposition,[status(thm)],[c_587,c_102]) ).

cnf(c_396208,plain,
    multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sP7_iProver_def,X0),
    inference(superposition,[status(thm)],[c_576,c_102]) ).

cnf(c_396210,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_101,c_102]) ).

cnf(c_396212,plain,
    multiply(sP15_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_395133,c_102]) ).

cnf(c_396213,plain,
    multiply(sP13_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_395134,c_102]) ).

cnf(c_396214,plain,
    multiply(sP11_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_395135,c_102]) ).

cnf(c_396215,plain,
    multiply(sP9_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_395136,c_102]) ).

cnf(c_396216,plain,
    multiply(sP8_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_395137,c_102]) ).

cnf(c_396217,plain,
    multiply(sP19_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_395138,c_102]) ).

cnf(c_396218,plain,
    multiply(sP17_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_395139,c_102]) ).

cnf(c_396220,plain,
    multiply(sP17_iProver_def,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_396218,c_100]) ).

cnf(c_396221,plain,
    multiply(sP19_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_396217,c_100]) ).

cnf(c_396222,plain,
    multiply(sP8_iProver_def,multiply(sk_c6,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_396216,c_100]) ).

cnf(c_396223,plain,
    multiply(sP9_iProver_def,multiply(sk_c7,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_396215,c_100]) ).

cnf(c_396224,plain,
    multiply(sP11_iProver_def,multiply(sk_c5,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_396214,c_100]) ).

cnf(c_396225,plain,
    multiply(sP13_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_396213,c_100]) ).

cnf(c_396226,plain,
    multiply(sP15_iProver_def,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_396212,c_100]) ).

cnf(c_396681,plain,
    ( sk_c10 = sP16_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_644,c_589]) ).

cnf(c_396682,plain,
    ( sk_c11 = sP15_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_643,c_589]) ).

cnf(c_396683,plain,
    ( sP5_iProver_def != sP14_iProver_def
    | sk_c9 = sP5_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_642,c_589]) ).

cnf(c_396684,plain,
    ( sk_c10 = sP13_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_641,c_589]) ).

cnf(c_396685,plain,
    ( sk_c11 = sP12_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_640,c_589]) ).

cnf(c_396689,plain,
    ( sP5_iProver_def != sP14_iProver_def
    | sk_c10 = sP17_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_612,c_589]) ).

cnf(c_396926,plain,
    ( inverse(sk_c4) != sk_c10
    | sk_c9 != sP14_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_583,c_592]) ).

cnf(c_396930,plain,
    ( inverse(inverse(sk_c10)) != sk_c10
    | sk_c9 != identity
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_101,c_592]) ).

cnf(c_396954,plain,
    ( sk_c10 != sP13_iProver_def
    | sk_c9 != sP14_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_396926,c_582]) ).

cnf(c_397056,plain,
    ( inverse(sk_c2) != sk_c10
    | sk_c10 != sP7_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_576,c_593]) ).

cnf(c_397074,plain,
    ( sk_c10 != sP7_iProver_def
    | sk_c10 != sP17_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_397056,c_586]) ).

cnf(c_397168,plain,
    ( inverse(sk_c3) != sk_c11
    | sk_c10 != sP16_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_585,c_594]) ).

cnf(c_397170,plain,
    ( inverse(inverse(sk_c11)) != sk_c11
    | sk_c10 != identity
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_101,c_594]) ).

cnf(c_397192,plain,
    ( sk_c10 != sP16_iProver_def
    | sk_c11 != sP15_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_397168,c_584]) ).

cnf(c_398063,plain,
    ( multiply(sk_c10,sP12_iProver_def) = sP5_iProver_def
    | sP18_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_395551,c_574]) ).

cnf(c_398651,plain,
    ( sP8_iProver_def = sP11_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_396001,c_589]) ).

cnf(c_398847,plain,
    multiply(sP17_iProver_def,sP7_iProver_def) = sk_c9,
    inference(superposition,[status(thm)],[c_576,c_396220]) ).

cnf(c_398849,plain,
    multiply(sP17_iProver_def,multiply(sP7_iProver_def,X0)) = multiply(sk_c9,X0),
    inference(superposition,[status(thm)],[c_398847,c_102]) ).

cnf(c_398850,plain,
    multiply(sP19_iProver_def,sP18_iProver_def) = sk_c10,
    inference(superposition,[status(thm)],[c_587,c_396221]) ).

cnf(c_398863,plain,
    multiply(sP19_iProver_def,multiply(sP18_iProver_def,X0)) = multiply(sk_c10,X0),
    inference(superposition,[status(thm)],[c_398850,c_102]) ).

cnf(c_399211,plain,
    multiply(sP9_iProver_def,sP6_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_575,c_396223]) ).

cnf(c_399240,plain,
    multiply(sP9_iProver_def,multiply(sP6_iProver_def,X0)) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_399211,c_102]) ).

cnf(c_399312,plain,
    ( X0 != sk_c10
    | X0 = sP13_iProver_def
    | sP5_iProver_def = sk_c9 ),
    inference(resolution,[status(thm)],[c_646,c_641]) ).

cnf(c_399313,plain,
    ( sk_c10 != sk_c10
    | sk_c10 = sP13_iProver_def
    | sP5_iProver_def = sk_c9 ),
    inference(instantiation,[status(thm)],[c_399312]) ).

cnf(c_399324,plain,
    ( X0 != sk_c10
    | X0 = sP16_iProver_def
    | sP5_iProver_def = sk_c9 ),
    inference(resolution,[status(thm)],[c_646,c_644]) ).

cnf(c_399325,plain,
    ( sk_c10 != sk_c10
    | sk_c10 = sP16_iProver_def
    | sP5_iProver_def = sk_c9 ),
    inference(instantiation,[status(thm)],[c_399324]) ).

cnf(c_399477,plain,
    ( sP2_iProver_def
    | sk_c10 = sP16_iProver_def
    | sP0_iProver_def
    | sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_396681,c_651,c_589,c_9851,c_15921,c_84875,c_399325]) ).

cnf(c_399478,plain,
    ( sk_c10 = sP16_iProver_def
    | sP0_iProver_def
    | sP2_iProver_def
    | sP4_iProver_def ),
    inference(renaming,[status(thm)],[c_399477]) ).

cnf(c_399523,plain,
    multiply(sP15_iProver_def,sP16_iProver_def) = sk_c11,
    inference(superposition,[status(thm)],[c_585,c_396226]) ).

cnf(c_399525,plain,
    multiply(sP15_iProver_def,multiply(sP16_iProver_def,X0)) = multiply(sk_c11,X0),
    inference(superposition,[status(thm)],[c_399523,c_102]) ).

cnf(c_399608,plain,
    ( sP2_iProver_def
    | sk_c11 = sP15_iProver_def
    | sP0_iProver_def
    | sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_396682,c_589,c_643,c_2611,c_6359,c_9695,c_15922,c_142009]) ).

cnf(c_399609,plain,
    ( sk_c11 = sP15_iProver_def
    | sP0_iProver_def
    | sP2_iProver_def
    | sP4_iProver_def ),
    inference(renaming,[status(thm)],[c_399608]) ).

cnf(c_399618,plain,
    ( sP2_iProver_def
    | sk_c10 = sP13_iProver_def
    | sP0_iProver_def
    | sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_396684,c_651,c_589,c_16083,c_84881,c_399313]) ).

cnf(c_399619,plain,
    ( sk_c10 = sP13_iProver_def
    | sP0_iProver_def
    | sP2_iProver_def
    | sP4_iProver_def ),
    inference(renaming,[status(thm)],[c_399618]) ).

cnf(c_399628,plain,
    ( sP2_iProver_def
    | sk_c11 = sP12_iProver_def
    | sP0_iProver_def
    | sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_396685,c_16158]) ).

cnf(c_399629,plain,
    ( sk_c11 = sP12_iProver_def
    | sP0_iProver_def
    | sP2_iProver_def
    | sP4_iProver_def ),
    inference(renaming,[status(thm)],[c_399628]) ).

cnf(c_399658,plain,
    ( sP2_iProver_def
    | sP8_iProver_def = sP11_iProver_def
    | sP0_iProver_def
    | sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_398651,c_589,c_979,c_1097,c_1544,c_1868,c_2361,c_2849,c_3520,c_15914]) ).

cnf(c_399659,plain,
    ( sP8_iProver_def = sP11_iProver_def
    | sP0_iProver_def
    | sP2_iProver_def
    | sP4_iProver_def ),
    inference(renaming,[status(thm)],[c_399658]) ).

cnf(c_401074,plain,
    ( multiply(sP19_iProver_def,sP18_iProver_def) = sP17_iProver_def
    | sk_c10 = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_394982,c_396221]) ).

cnf(c_401075,plain,
    ( sk_c10 = sP16_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_401074,c_398850]) ).

cnf(c_404879,plain,
    multiply(sk_c5,sP10_iProver_def) = multiply(sP12_iProver_def,sk_c10),
    inference(superposition,[status(thm)],[c_579,c_396204]) ).

cnf(c_404946,plain,
    multiply(sk_c8,sP5_iProver_def) = multiply(sP10_iProver_def,sk_c11),
    inference(superposition,[status(thm)],[c_574,c_396205]) ).

cnf(c_405157,plain,
    ( multiply(sP8_iProver_def,sP5_iProver_def) = multiply(sP10_iProver_def,sk_c11)
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_606,c_404946]) ).

cnf(c_408047,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_396210,c_100]) ).

cnf(c_408066,plain,
    multiply(inverse(sk_c10),sP5_iProver_def) = sk_c11,
    inference(superposition,[status(thm)],[c_574,c_408047]) ).

cnf(c_408075,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_101,c_408047]) ).

cnf(c_408076,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[status(thm)],[c_102,c_408047]) ).

cnf(c_408146,plain,
    multiply(inverse(sP15_iProver_def),identity) = sk_c3,
    inference(superposition,[status(thm)],[c_395133,c_408047]) ).

cnf(c_408259,plain,
    multiply(inverse(sP15_iProver_def),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_396226,c_408047]) ).

cnf(c_408260,plain,
    multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_396225,c_408047]) ).

cnf(c_408261,plain,
    multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_396224,c_408047]) ).

cnf(c_408262,plain,
    multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_396223,c_408047]) ).

cnf(c_408263,plain,
    multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c6,X0),
    inference(superposition,[status(thm)],[c_396222,c_408047]) ).

cnf(c_408264,plain,
    multiply(inverse(sP19_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_396221,c_408047]) ).

cnf(c_408265,plain,
    multiply(inverse(sP17_iProver_def),X0) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_396220,c_408047]) ).

cnf(c_408297,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_408047,c_408047]) ).

cnf(c_408964,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_408075,c_408297]) ).

cnf(c_408973,plain,
    multiply(sk_c3,sk_c11) = multiply(sP16_iProver_def,identity),
    inference(superposition,[status(thm)],[c_408964,c_396202]) ).

cnf(c_408974,plain,
    multiply(sk_c10,sk_c11) = multiply(sP5_iProver_def,identity),
    inference(superposition,[status(thm)],[c_408964,c_396201]) ).

cnf(c_408975,plain,
    multiply(sk_c11,identity) = multiply(sP15_iProver_def,sP16_iProver_def),
    inference(superposition,[status(thm)],[c_408964,c_399525]) ).

cnf(c_408977,plain,
    multiply(sk_c1,sk_c10) = multiply(sP18_iProver_def,identity),
    inference(superposition,[status(thm)],[c_408964,c_396207]) ).

cnf(c_408978,plain,
    multiply(sk_c8,sk_c10) = multiply(sP10_iProver_def,identity),
    inference(superposition,[status(thm)],[c_408964,c_396205]) ).

cnf(c_408979,plain,
    multiply(sk_c4,sk_c10) = multiply(sP14_iProver_def,identity),
    inference(superposition,[status(thm)],[c_408964,c_396203]) ).

cnf(c_408981,plain,
    multiply(sk_c7,sk_c8) = multiply(sP6_iProver_def,identity),
    inference(superposition,[status(thm)],[c_408964,c_396206]) ).

cnf(c_408982,plain,
    multiply(sk_c5,sk_c8) = multiply(sP12_iProver_def,identity),
    inference(superposition,[status(thm)],[c_408964,c_396204]) ).

cnf(c_408983,plain,
    multiply(sk_c8,identity) = multiply(sP9_iProver_def,sP6_iProver_def),
    inference(superposition,[status(thm)],[c_408964,c_399240]) ).

cnf(c_408984,plain,
    multiply(sk_c10,identity) = multiply(sP19_iProver_def,sP18_iProver_def),
    inference(superposition,[status(thm)],[c_408964,c_398863]) ).

cnf(c_408985,plain,
    multiply(sk_c9,identity) = multiply(sP17_iProver_def,sP7_iProver_def),
    inference(superposition,[status(thm)],[c_408964,c_398849]) ).

cnf(c_408986,plain,
    multiply(sk_c2,sk_c9) = multiply(sP7_iProver_def,identity),
    inference(superposition,[status(thm)],[c_408964,c_396208]) ).

cnf(c_408994,plain,
    multiply(sP7_iProver_def,identity) = sP7_iProver_def,
    inference(light_normalisation,[status(thm)],[c_408986,c_576]) ).

cnf(c_408995,plain,
    multiply(sk_c9,identity) = sk_c9,
    inference(light_normalisation,[status(thm)],[c_408985,c_398847]) ).

cnf(c_408996,plain,
    multiply(sk_c10,identity) = sk_c10,
    inference(light_normalisation,[status(thm)],[c_408984,c_398850]) ).

cnf(c_408997,plain,
    multiply(sk_c8,identity) = sk_c8,
    inference(light_normalisation,[status(thm)],[c_408983,c_399211]) ).

cnf(c_408998,plain,
    multiply(sP12_iProver_def,identity) = sP12_iProver_def,
    inference(light_normalisation,[status(thm)],[c_408982,c_581]) ).

cnf(c_408999,plain,
    multiply(sP6_iProver_def,identity) = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_408981,c_575]) ).

cnf(c_409001,plain,
    multiply(sP14_iProver_def,identity) = sP14_iProver_def,
    inference(light_normalisation,[status(thm)],[c_408979,c_583]) ).

cnf(c_409002,plain,
    multiply(sP10_iProver_def,identity) = sP10_iProver_def,
    inference(light_normalisation,[status(thm)],[c_408978,c_579]) ).

cnf(c_409003,plain,
    multiply(sP18_iProver_def,identity) = sP18_iProver_def,
    inference(light_normalisation,[status(thm)],[c_408977,c_587]) ).

cnf(c_409005,plain,
    multiply(sk_c11,identity) = sk_c11,
    inference(light_normalisation,[status(thm)],[c_408975,c_399523]) ).

cnf(c_409006,plain,
    multiply(sP5_iProver_def,identity) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_408974,c_574]) ).

cnf(c_409007,plain,
    multiply(sP16_iProver_def,identity) = sP16_iProver_def,
    inference(light_normalisation,[status(thm)],[c_408973,c_585]) ).

cnf(c_410073,plain,
    ( sk_c10 != sP17_iProver_def
    | sP7_iProver_def != sP16_iProver_def
    | ~ sP1_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_604,c_397074]) ).

cnf(c_410167,plain,
    ( multiply(sk_c3,sk_c10) != sk_c11
    | inverse(inverse(sP15_iProver_def)) != sk_c11
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_408259,c_591]) ).

cnf(c_410170,plain,
    multiply(sk_c3,sP15_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_408259,c_101]) ).

cnf(c_410172,plain,
    ( multiply(sk_c3,sk_c11) != sk_c10
    | inverse(inverse(sP15_iProver_def)) != sk_c11
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_408259,c_594]) ).

cnf(c_410175,plain,
    multiply(sk_c3,identity) = inverse(sP15_iProver_def),
    inference(superposition,[status(thm)],[c_408259,c_408964]) ).

cnf(c_410179,plain,
    ( inverse(inverse(sP15_iProver_def)) != sk_c11
    | sk_c10 != sP16_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_410172,c_585]) ).

cnf(c_410195,plain,
    ( sk_c10 = sP17_iProver_def
    | identity = sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_394962,c_410170]) ).

cnf(c_410196,plain,
    ( sk_c10 = sP7_iProver_def
    | identity = sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_394898,c_410170]) ).

cnf(c_410233,plain,
    inverse(sP15_iProver_def) = sk_c3,
    inference(demodulation,[status(thm)],[c_410175,c_408964]) ).

cnf(c_412610,plain,
    ( multiply(sk_c4,sk_c10) != sk_c9
    | inverse(inverse(sP13_iProver_def)) != sk_c10
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_408260,c_592]) ).

cnf(c_412614,plain,
    multiply(sk_c4,sP13_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_408260,c_101]) ).

cnf(c_412619,plain,
    multiply(sk_c4,identity) = inverse(sP13_iProver_def),
    inference(superposition,[status(thm)],[c_408260,c_408964]) ).

cnf(c_412630,plain,
    ( inverse(inverse(sP13_iProver_def)) != sk_c10
    | sk_c9 != sP14_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_412610,c_583]) ).

cnf(c_412640,plain,
    ( sk_c10 = sP7_iProver_def
    | identity = sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_394891,c_412614]) ).

cnf(c_412650,plain,
    inverse(sP13_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_412619,c_408964]) ).

cnf(c_412707,plain,
    ( sk_c10 = sP7_iProver_def
    | sP14_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_412640,c_410196]) ).

cnf(c_413275,plain,
    multiply(sk_c5,sP11_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_408261,c_101]) ).

cnf(c_413279,plain,
    multiply(sk_c5,multiply(sP11_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_408261,c_408047]) ).

cnf(c_413280,plain,
    multiply(sk_c5,identity) = inverse(sP11_iProver_def),
    inference(superposition,[status(thm)],[c_408261,c_408964]) ).

cnf(c_413302,plain,
    ( sk_c10 = sP17_iProver_def
    | identity = sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_394878,c_413275]) ).

cnf(c_413646,plain,
    inverse(sP11_iProver_def) = sk_c5,
    inference(demodulation,[status(thm)],[c_413280,c_408964]) ).

cnf(c_413662,plain,
    multiply(sk_c5,identity) = sk_c5,
    inference(superposition,[status(thm)],[c_395135,c_413279]) ).

cnf(c_413841,plain,
    ( sk_c10 = sP17_iProver_def
    | sP12_iProver_def = sP16_iProver_def ),
    inference(superposition,[status(thm)],[c_413302,c_410195]) ).

cnf(c_413844,plain,
    ( multiply(sP12_iProver_def,X0) = X0
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_413302,c_100]) ).

cnf(c_413845,plain,
    ( inverse(sP12_iProver_def) = sP12_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_413302,c_65142]) ).

cnf(c_415900,plain,
    ( multiply(sP8_iProver_def,sP5_iProver_def) = multiply(sP10_iProver_def,sP15_iProver_def)
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_613,c_405157]) ).

cnf(c_415901,plain,
    ( multiply(sP8_iProver_def,sP5_iProver_def) = multiply(sP10_iProver_def,sP12_iProver_def)
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_610,c_405157]) ).

cnf(c_415902,plain,
    ( multiply(sP8_iProver_def,sP5_iProver_def) = multiply(sP10_iProver_def,sP10_iProver_def)
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_608,c_405157]) ).

cnf(c_416104,plain,
    multiply(sk_c7,sP9_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_408262,c_101]) ).

cnf(c_416109,plain,
    multiply(sk_c7,identity) = inverse(sP9_iProver_def),
    inference(superposition,[status(thm)],[c_408262,c_408964]) ).

cnf(c_416146,plain,
    multiply(sP9_iProver_def,identity) = sP9_iProver_def,
    inference(superposition,[status(thm)],[c_416104,c_396223]) ).

cnf(c_416149,plain,
    inverse(sP9_iProver_def) = sk_c7,
    inference(demodulation,[status(thm)],[c_416109,c_408964]) ).

cnf(c_416154,plain,
    ( sk_c10 = sP17_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_394794,c_416149]) ).

cnf(c_418257,plain,
    multiply(sk_c6,sP8_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_408263,c_101]) ).

cnf(c_418261,plain,
    multiply(sk_c6,multiply(sP8_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_408263,c_408047]) ).

cnf(c_418262,plain,
    multiply(sk_c6,identity) = inverse(sP8_iProver_def),
    inference(superposition,[status(thm)],[c_408263,c_408964]) ).

cnf(c_418292,plain,
    multiply(sP8_iProver_def,identity) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_418257,c_396222]) ).

cnf(c_418317,plain,
    inverse(sP8_iProver_def) = sk_c6,
    inference(demodulation,[status(thm)],[c_418262,c_408964]) ).

cnf(c_418803,plain,
    ( multiply(sk_c6,sP10_iProver_def) = sk_c10
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_394861,c_418261]) ).

cnf(c_419507,plain,
    ( multiply(sk_c1,sk_c10) != sk_c9
    | inverse(inverse(sP19_iProver_def)) != sk_c10
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_408264,c_592]) ).

cnf(c_419508,plain,
    ( multiply(sk_c1,sk_c10) != sk_c11
    | inverse(inverse(sP19_iProver_def)) != sk_c11
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_408264,c_591]) ).

cnf(c_419511,plain,
    multiply(sk_c1,sP19_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_408264,c_101]) ).

cnf(c_419513,plain,
    ( multiply(sk_c1,sk_c11) != sk_c10
    | inverse(inverse(sP19_iProver_def)) != sk_c11
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_408264,c_594]) ).

cnf(c_419515,plain,
    multiply(sk_c1,multiply(sP19_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_408264,c_408047]) ).

cnf(c_419516,plain,
    multiply(sk_c1,identity) = inverse(sP19_iProver_def),
    inference(superposition,[status(thm)],[c_408264,c_408964]) ).

cnf(c_419591,plain,
    inverse(sP19_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_419516,c_408964]) ).

cnf(c_419632,plain,
    multiply(sk_c1,identity) = sk_c1,
    inference(superposition,[status(thm)],[c_395138,c_419515]) ).

cnf(c_419846,plain,
    multiply(sk_c2,sP17_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_408265,c_101]) ).

cnf(c_419850,plain,
    multiply(sk_c2,multiply(sP17_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_408265,c_408047]) ).

cnf(c_419851,plain,
    multiply(sk_c2,identity) = inverse(sP17_iProver_def),
    inference(superposition,[status(thm)],[c_408265,c_408964]) ).

cnf(c_419943,plain,
    multiply(sP17_iProver_def,identity) = sP17_iProver_def,
    inference(superposition,[status(thm)],[c_419846,c_396220]) ).

cnf(c_419988,plain,
    inverse(sP17_iProver_def) = sk_c2,
    inference(demodulation,[status(thm)],[c_419851,c_408964]) ).

cnf(c_420070,plain,
    multiply(sk_c2,identity) = sk_c2,
    inference(superposition,[status(thm)],[c_395139,c_419850]) ).

cnf(c_420740,plain,
    ( sP5_iProver_def != sP14_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def
    | sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_396683,c_26102]) ).

cnf(c_421148,plain,
    ( sk_c9 != identity
    | ~ sP2_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_396930,c_323394]) ).

cnf(c_421357,plain,
    ( sk_c10 != identity
    | ~ sP0_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_397170,c_130347]) ).

cnf(c_421960,plain,
    ( multiply(sP12_iProver_def,sP12_iProver_def) = identity
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_413845,c_101]) ).

cnf(c_424646,plain,
    multiply(inverse(multiply(X0,sk_c10)),multiply(X0,sP5_iProver_def)) = sk_c11,
    inference(superposition,[status(thm)],[c_574,c_408076]) ).

cnf(c_424650,plain,
    multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sP10_iProver_def)) = sk_c10,
    inference(superposition,[status(thm)],[c_579,c_408076]) ).

cnf(c_424709,plain,
    multiply(inverse(multiply(X0,sk_c4)),multiply(X0,identity)) = sP13_iProver_def,
    inference(superposition,[status(thm)],[c_412614,c_408076]) ).

cnf(c_424725,plain,
    multiply(inverse(multiply(X0,sP9_iProver_def)),multiply(X0,identity)) = sk_c7,
    inference(superposition,[status(thm)],[c_395136,c_408076]) ).

cnf(c_424726,plain,
    multiply(inverse(multiply(X0,sP8_iProver_def)),multiply(X0,identity)) = sk_c6,
    inference(superposition,[status(thm)],[c_395137,c_408076]) ).

cnf(c_424727,plain,
    multiply(inverse(multiply(X0,sP19_iProver_def)),multiply(X0,identity)) = sk_c1,
    inference(superposition,[status(thm)],[c_395138,c_408076]) ).

cnf(c_424728,plain,
    multiply(inverse(multiply(X0,sP17_iProver_def)),multiply(X0,identity)) = sk_c2,
    inference(superposition,[status(thm)],[c_395139,c_408076]) ).

cnf(c_424882,plain,
    multiply(inverse(multiply(X0,sk_c2)),multiply(X0,identity)) = sP17_iProver_def,
    inference(superposition,[status(thm)],[c_419846,c_408076]) ).

cnf(c_424883,plain,
    multiply(inverse(multiply(X0,sk_c1)),multiply(X0,identity)) = sP19_iProver_def,
    inference(superposition,[status(thm)],[c_419511,c_408076]) ).

cnf(c_424884,plain,
    multiply(inverse(multiply(X0,sk_c6)),multiply(X0,identity)) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_418257,c_408076]) ).

cnf(c_424885,plain,
    multiply(inverse(multiply(X0,sk_c7)),multiply(X0,identity)) = sP9_iProver_def,
    inference(superposition,[status(thm)],[c_416104,c_408076]) ).

cnf(c_424943,plain,
    ( multiply(inverse(multiply(X0,sP10_iProver_def)),multiply(X0,multiply(sP8_iProver_def,sP5_iProver_def))) = sP12_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_415901,c_408076]) ).

cnf(c_424945,plain,
    ( multiply(inverse(multiply(X0,sP10_iProver_def)),multiply(X0,multiply(sP8_iProver_def,sP5_iProver_def))) = sP10_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_415902,c_408076]) ).

cnf(c_424947,plain,
    ( multiply(inverse(multiply(X0,sP10_iProver_def)),multiply(X0,multiply(sP8_iProver_def,sP5_iProver_def))) = sP15_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_415900,c_408076]) ).

cnf(c_424981,plain,
    ( multiply(inverse(multiply(X0,sP12_iProver_def)),multiply(X0,identity)) = sP12_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_421960,c_408076]) ).

cnf(c_425006,plain,
    multiply(inverse(multiply(X0,sk_c7)),X0) = sP9_iProver_def,
    inference(light_normalisation,[status(thm)],[c_424885,c_408964]) ).

cnf(c_425007,plain,
    multiply(inverse(multiply(X0,sk_c6)),X0) = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_424884,c_408964]) ).

cnf(c_425008,plain,
    multiply(inverse(multiply(X0,sk_c1)),X0) = sP19_iProver_def,
    inference(light_normalisation,[status(thm)],[c_424883,c_408964]) ).

cnf(c_425009,plain,
    multiply(inverse(multiply(X0,sk_c2)),X0) = sP17_iProver_def,
    inference(light_normalisation,[status(thm)],[c_424882,c_408964]) ).

cnf(c_425010,plain,
    multiply(inverse(multiply(X0,sP17_iProver_def)),X0) = sk_c2,
    inference(light_normalisation,[status(thm)],[c_424728,c_408964]) ).

cnf(c_425011,plain,
    multiply(inverse(multiply(X0,sP19_iProver_def)),X0) = sk_c1,
    inference(light_normalisation,[status(thm)],[c_424727,c_408964]) ).

cnf(c_425012,plain,
    multiply(inverse(multiply(X0,sP8_iProver_def)),X0) = sk_c6,
    inference(light_normalisation,[status(thm)],[c_424726,c_408964]) ).

cnf(c_425013,plain,
    multiply(inverse(multiply(X0,sP9_iProver_def)),X0) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_424725,c_408964]) ).

cnf(c_425018,plain,
    multiply(inverse(multiply(X0,sk_c4)),X0) = sP13_iProver_def,
    inference(light_normalisation,[status(thm)],[c_424709,c_408964]) ).

cnf(c_425117,plain,
    ( multiply(inverse(multiply(X0,sP12_iProver_def)),X0) = sP12_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_424981,c_408964]) ).

cnf(c_428876,plain,
    multiply(inverse(multiply(X0,multiply(X1,sk_c7))),multiply(X0,X1)) = sP9_iProver_def,
    inference(superposition,[status(thm)],[c_102,c_425006]) ).

cnf(c_428905,plain,
    multiply(inverse(sP9_iProver_def),inverse(multiply(sk_c7,sk_c7))) = sP9_iProver_def,
    inference(superposition,[status(thm)],[c_425006,c_425006]) ).

cnf(c_428908,plain,
    multiply(sk_c7,inverse(multiply(sk_c7,sk_c7))) = sP9_iProver_def,
    inference(light_normalisation,[status(thm)],[c_428905,c_416149]) ).

cnf(c_433646,plain,
    multiply(inverse(multiply(X0,multiply(X1,sk_c6))),multiply(X0,X1)) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_102,c_425007]) ).

cnf(c_433647,plain,
    multiply(inverse(identity),sP8_iProver_def) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_395137,c_425007]) ).

cnf(c_433687,plain,
    multiply(inverse(sP8_iProver_def),inverse(multiply(sk_c6,sk_c6))) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_425007,c_425007]) ).

cnf(c_433688,plain,
    multiply(identity,sP8_iProver_def) = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_433647,c_65142]) ).

cnf(c_433690,plain,
    multiply(sk_c6,inverse(multiply(sk_c6,sk_c6))) = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_433687,c_418317]) ).

cnf(c_434045,plain,
    multiply(inverse(identity),multiply(inverse(sk_c10),sP5_iProver_def)) = sk_c11,
    inference(superposition,[status(thm)],[c_101,c_424646]) ).

cnf(c_434067,plain,
    multiply(inverse(sP9_iProver_def),multiply(inverse(multiply(sk_c10,sk_c7)),sP5_iProver_def)) = sk_c11,
    inference(superposition,[status(thm)],[c_425006,c_424646]) ).

cnf(c_434103,plain,
    multiply(inverse(multiply(inverse(sP5_iProver_def),sk_c10)),identity) = sk_c11,
    inference(superposition,[status(thm)],[c_101,c_424646]) ).

cnf(c_434145,plain,
    multiply(identity,sk_c11) = sk_c11,
    inference(light_normalisation,[status(thm)],[c_434045,c_408066,c_65142]) ).

cnf(c_434150,plain,
    multiply(sk_c7,multiply(inverse(multiply(sk_c10,sk_c7)),sP5_iProver_def)) = sk_c11,
    inference(light_normalisation,[status(thm)],[c_434067,c_416149]) ).

cnf(c_434537,plain,
    multiply(inverse(sP19_iProver_def),inverse(multiply(sk_c2,sk_c1))) = sP17_iProver_def,
    inference(superposition,[status(thm)],[c_425008,c_425009]) ).

cnf(c_434540,plain,
    ( inverse(inverse(multiply(sk_c10,sk_c2))) != sk_c10
    | sk_c9 != sP17_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_425009,c_592]) ).

cnf(c_434541,plain,
    ( inverse(inverse(multiply(sk_c10,sk_c2))) != sk_c11
    | sk_c11 != sP17_iProver_def
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_425009,c_591]) ).

cnf(c_434555,plain,
    multiply(inverse(sP17_iProver_def),inverse(multiply(sk_c2,sk_c2))) = sP17_iProver_def,
    inference(superposition,[status(thm)],[c_425009,c_425009]) ).

cnf(c_434558,plain,
    multiply(sk_c2,inverse(multiply(sk_c2,sk_c2))) = sP17_iProver_def,
    inference(light_normalisation,[status(thm)],[c_434555,c_419988]) ).

cnf(c_434562,plain,
    multiply(sk_c1,inverse(multiply(sk_c2,sk_c1))) = sP17_iProver_def,
    inference(light_normalisation,[status(thm)],[c_434537,c_419591]) ).

cnf(c_434748,plain,
    ( ~ sP1_iProver_def
    | sk_c10 = sP7_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_410073,c_307959,c_412707]) ).

cnf(c_434754,plain,
    ( sk_c10 != sP17_iProver_def
    | ~ sP1_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_397074,c_434748]) ).

cnf(c_435027,plain,
    ( multiply(sk_c3,sk_c10) != sk_c11
    | sk_c11 != sP15_iProver_def
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_410167,c_584,c_410233]) ).

cnf(c_435825,plain,
    inverse(multiply(inverse(sP5_iProver_def),sk_c10)) = sk_c11,
    inference(demodulation,[status(thm)],[c_434103,c_408964]) ).

cnf(c_435860,plain,
    multiply(sk_c11,multiply(inverse(sP5_iProver_def),sk_c10)) = identity,
    inference(superposition,[status(thm)],[c_435825,c_101]) ).

cnf(c_436054,plain,
    ( multiply(sP15_iProver_def,multiply(inverse(sP5_iProver_def),sk_c10)) = identity
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_613,c_435860]) ).

cnf(c_436055,plain,
    ( multiply(sP12_iProver_def,multiply(inverse(sP5_iProver_def),sk_c10)) = identity
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_610,c_435860]) ).

cnf(c_436100,plain,
    multiply(sP5_iProver_def,multiply(inverse(sP5_iProver_def),sk_c10)) = multiply(sk_c10,identity),
    inference(superposition,[status(thm)],[c_435860,c_396201]) ).

cnf(c_437715,plain,
    multiply(inverse(multiply(inverse(sP10_iProver_def),sk_c8)),identity) = sk_c10,
    inference(superposition,[status(thm)],[c_101,c_424650]) ).

cnf(c_438648,plain,
    multiply(inverse(multiply(X0,multiply(X1,sP17_iProver_def))),multiply(X0,X1)) = sk_c2,
    inference(superposition,[status(thm)],[c_102,c_425010]) ).

cnf(c_438700,plain,
    ( inverse(inverse(multiply(sk_c10,sP17_iProver_def))) != sk_c11
    | sk_c11 != sk_c2
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_425010,c_591]) ).

cnf(c_438710,plain,
    multiply(inverse(sk_c2),inverse(multiply(sP17_iProver_def,sP17_iProver_def))) = sk_c2,
    inference(superposition,[status(thm)],[c_425010,c_425010]) ).

cnf(c_438724,plain,
    multiply(sP17_iProver_def,inverse(multiply(sP17_iProver_def,sP17_iProver_def))) = sk_c2,
    inference(light_normalisation,[status(thm)],[c_438710,c_586]) ).

cnf(c_440968,plain,
    inverse(multiply(inverse(sP10_iProver_def),sk_c8)) = sk_c10,
    inference(demodulation,[status(thm)],[c_437715,c_408964]) ).

cnf(c_440990,plain,
    multiply(sk_c10,multiply(inverse(sP10_iProver_def),sk_c8)) = identity,
    inference(superposition,[status(thm)],[c_440968,c_101]) ).

cnf(c_441070,plain,
    ( multiply(sk_c10,multiply(inverse(sP10_iProver_def),sP8_iProver_def)) = identity
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_606,c_440990]) ).

cnf(c_441074,plain,
    multiply(inverse(sk_c10),identity) = multiply(inverse(sP10_iProver_def),sk_c8),
    inference(superposition,[status(thm)],[c_440990,c_408047]) ).

cnf(c_441077,plain,
    multiply(inverse(multiply(sk_c10,inverse(sP10_iProver_def))),identity) = sk_c8,
    inference(superposition,[status(thm)],[c_440990,c_408076]) ).

cnf(c_441078,plain,
    multiply(sP18_iProver_def,multiply(inverse(sP10_iProver_def),sk_c8)) = multiply(sk_c1,identity),
    inference(superposition,[status(thm)],[c_440990,c_396207]) ).

cnf(c_441079,plain,
    multiply(sP10_iProver_def,multiply(inverse(sP10_iProver_def),sk_c8)) = multiply(sk_c8,identity),
    inference(superposition,[status(thm)],[c_440990,c_396205]) ).

cnf(c_441394,plain,
    multiply(inverse(sk_c2),inverse(multiply(sP19_iProver_def,sP17_iProver_def))) = sk_c1,
    inference(superposition,[status(thm)],[c_425010,c_425011]) ).

cnf(c_441422,plain,
    multiply(inverse(sk_c1),inverse(multiply(sk_c7,sP19_iProver_def))) = sP9_iProver_def,
    inference(superposition,[status(thm)],[c_425011,c_425006]) ).

cnf(c_441423,plain,
    multiply(inverse(sk_c1),inverse(multiply(sk_c6,sP19_iProver_def))) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_425011,c_425007]) ).

cnf(c_441431,plain,
    multiply(sP19_iProver_def,inverse(multiply(sk_c6,sP19_iProver_def))) = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_441423,c_588]) ).

cnf(c_441432,plain,
    multiply(sP19_iProver_def,inverse(multiply(sk_c7,sP19_iProver_def))) = sP9_iProver_def,
    inference(light_normalisation,[status(thm)],[c_441422,c_588]) ).

cnf(c_441435,plain,
    multiply(sP17_iProver_def,inverse(multiply(sP19_iProver_def,sP17_iProver_def))) = sk_c1,
    inference(light_normalisation,[status(thm)],[c_441394,c_586]) ).

cnf(c_441633,plain,
    multiply(inverse(sk_c1),inverse(multiply(sP8_iProver_def,sP19_iProver_def))) = sk_c6,
    inference(superposition,[status(thm)],[c_425011,c_425012]) ).

cnf(c_441650,plain,
    multiply(inverse(sk_c6),inverse(multiply(sP8_iProver_def,sP8_iProver_def))) = sk_c6,
    inference(superposition,[status(thm)],[c_425012,c_425012]) ).

cnf(c_441652,plain,
    multiply(inverse(sk_c6),inverse(multiply(sk_c7,sP8_iProver_def))) = sP9_iProver_def,
    inference(superposition,[status(thm)],[c_425012,c_425006]) ).

cnf(c_441662,plain,
    multiply(sP8_iProver_def,inverse(multiply(sk_c7,sP8_iProver_def))) = sP9_iProver_def,
    inference(light_normalisation,[status(thm)],[c_441652,c_577]) ).

cnf(c_441663,plain,
    multiply(sP8_iProver_def,inverse(multiply(sP8_iProver_def,sP8_iProver_def))) = sk_c6,
    inference(light_normalisation,[status(thm)],[c_441650,c_577]) ).

cnf(c_441666,plain,
    multiply(sP19_iProver_def,inverse(multiply(sP8_iProver_def,sP19_iProver_def))) = sk_c6,
    inference(light_normalisation,[status(thm)],[c_441633,c_588]) ).

cnf(c_442259,plain,
    multiply(inverse(identity),sk_c7) = sk_c7,
    inference(superposition,[status(thm)],[c_416104,c_425013]) ).

cnf(c_442265,plain,
    multiply(inverse(sk_c1),inverse(multiply(sP9_iProver_def,sP19_iProver_def))) = sk_c7,
    inference(superposition,[status(thm)],[c_425011,c_425013]) ).

cnf(c_442291,plain,
    multiply(identity,sk_c7) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_442259,c_65142]) ).

cnf(c_442302,plain,
    multiply(sP19_iProver_def,inverse(multiply(sP9_iProver_def,sP19_iProver_def))) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_442265,c_588]) ).

cnf(c_444304,plain,
    ( multiply(inverse(sP5_iProver_def),sk_c10) = multiply(inverse(sP15_iProver_def),identity)
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_436054,c_408047]) ).

cnf(c_444436,plain,
    ( multiply(inverse(multiply(X0,sP12_iProver_def)),multiply(X0,identity)) = multiply(inverse(sP5_iProver_def),sk_c10)
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_436055,c_408076]) ).

cnf(c_444439,plain,
    ( multiply(inverse(sP5_iProver_def),sk_c10) = identity
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_436055,c_413844]) ).

cnf(c_444492,plain,
    ( multiply(inverse(multiply(X0,sP12_iProver_def)),X0) = multiply(inverse(sP5_iProver_def),sk_c10)
    | sk_c10 = sP17_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_444436,c_408964]) ).

cnf(c_447890,plain,
    ( inverse(inverse(multiply(sk_c9,sk_c4))) != sk_c10
    | sk_c10 != sP13_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_425018,c_593]) ).

cnf(c_450375,plain,
    ( multiply(inverse(multiply(sk_c10,multiply(sP12_iProver_def,sk_c7))),sP5_iProver_def) = sP9_iProver_def
    | sP18_iProver_def = sP19_iProver_def ),
    inference(superposition,[status(thm)],[c_398063,c_428876]) ).

cnf(c_450376,plain,
    ( multiply(inverse(multiply(sk_c10,multiply(sP12_iProver_def,sk_c7))),sP5_iProver_def) = sP9_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_394836,c_428876]) ).

cnf(c_453968,plain,
    inverse(multiply(sk_c7,sk_c7)) = multiply(sP9_iProver_def,sP9_iProver_def),
    inference(superposition,[status(thm)],[c_428908,c_396223]) ).

cnf(c_454055,plain,
    inverse(multiply(sk_c6,sk_c6)) = multiply(sP8_iProver_def,sP8_iProver_def),
    inference(superposition,[status(thm)],[c_433690,c_396222]) ).

cnf(c_455263,plain,
    ( multiply(inverse(multiply(sk_c10,inverse(sP10_iProver_def))),identity) = sP8_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_441070,c_408076]) ).

cnf(c_459384,plain,
    multiply(inverse(multiply(inverse(multiply(X0,sP8_iProver_def)),multiply(X0,sk_c6))),sk_c6) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_425012,c_433646]) ).

cnf(c_463678,plain,
    multiply(inverse(multiply(X0,sk_c2)),multiply(X0,sP17_iProver_def)) = inverse(multiply(sk_c2,sk_c2)),
    inference(superposition,[status(thm)],[c_434558,c_408076]) ).

cnf(c_463683,plain,
    inverse(multiply(sk_c2,sk_c2)) = multiply(sP17_iProver_def,sP17_iProver_def),
    inference(superposition,[status(thm)],[c_434558,c_396220]) ).

cnf(c_464883,plain,
    multiply(inverse(multiply(X0,sk_c1)),multiply(X0,sP17_iProver_def)) = inverse(multiply(sk_c2,sk_c1)),
    inference(superposition,[status(thm)],[c_434562,c_408076]) ).

cnf(c_464884,plain,
    ( multiply(multiply(sk_c2,sk_c1),inverse(multiply(sk_c2,sk_c1))) != sk_c11
    | multiply(inverse(multiply(sk_c2,sk_c1)),sk_c10) != sk_c11
    | multiply(sk_c1,inverse(multiply(sk_c2,sk_c1))) != inverse(sk_c1)
    | inverse(multiply(sk_c2,sk_c1)) != inverse(sP17_iProver_def)
    | ~ sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_434562,c_590]) ).

cnf(c_464885,plain,
    inverse(multiply(sk_c2,sk_c1)) = multiply(sP19_iProver_def,sP17_iProver_def),
    inference(superposition,[status(thm)],[c_434562,c_396221]) ).

cnf(c_464888,plain,
    ( multiply(multiply(sk_c2,sk_c1),inverse(multiply(sk_c2,sk_c1))) != sk_c11
    | multiply(inverse(multiply(sk_c2,sk_c1)),sk_c10) != sk_c11
    | inverse(multiply(sk_c2,sk_c1)) != sk_c2
    | sP17_iProver_def != sP19_iProver_def
    | ~ sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_464884,c_588,c_419988,c_434562]) ).

cnf(c_472344,plain,
    ( multiply(multiply(sP17_iProver_def,sP17_iProver_def),inverse(multiply(sP17_iProver_def,sP17_iProver_def))) != sk_c11
    | multiply(inverse(multiply(sP17_iProver_def,sP17_iProver_def)),sk_c10) != sk_c11
    | multiply(sP17_iProver_def,inverse(multiply(sP17_iProver_def,sP17_iProver_def))) != inverse(sP17_iProver_def)
    | inverse(multiply(sP17_iProver_def,sP17_iProver_def)) != inverse(sk_c2)
    | ~ sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_438724,c_590]) ).

cnf(c_472345,plain,
    inverse(multiply(sP17_iProver_def,sP17_iProver_def)) = multiply(sk_c2,sk_c2),
    inference(superposition,[status(thm)],[c_438724,c_419850]) ).

cnf(c_472366,plain,
    ( multiply(multiply(sP17_iProver_def,sP17_iProver_def),inverse(multiply(sP17_iProver_def,sP17_iProver_def))) != sk_c11
    | multiply(inverse(multiply(sP17_iProver_def,sP17_iProver_def)),sk_c10) != sk_c11
    | inverse(multiply(sP17_iProver_def,sP17_iProver_def)) != sP17_iProver_def
    | sk_c2 != sk_c2
    | ~ sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_472344,c_586,c_419988,c_438724]) ).

cnf(c_472367,plain,
    ( multiply(multiply(sP17_iProver_def,sP17_iProver_def),inverse(multiply(sP17_iProver_def,sP17_iProver_def))) != sk_c11
    | multiply(inverse(multiply(sP17_iProver_def,sP17_iProver_def)),sk_c10) != sk_c11
    | inverse(multiply(sP17_iProver_def,sP17_iProver_def)) != sP17_iProver_def
    | ~ sP4_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_472366]) ).

cnf(c_473666,plain,
    ( multiply(sP19_iProver_def,inverse(multiply(sP9_iProver_def,sP19_iProver_def))) = sP8_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_607,c_441431]) ).

cnf(c_473744,plain,
    ( multiply(sP19_iProver_def,inverse(multiply(sP8_iProver_def,sP19_iProver_def))) = sP9_iProver_def
    | sk_c10 = sP17_iProver_def ),
    inference(superposition,[status(thm)],[c_416154,c_441432]) ).

cnf(c_480607,plain,
    inverse(multiply(sP19_iProver_def,sP17_iProver_def)) = multiply(sk_c2,sk_c1),
    inference(superposition,[status(thm)],[c_441435,c_419850]) ).

cnf(c_483280,plain,
    ( multiply(multiply(sk_c7,sP8_iProver_def),inverse(multiply(sk_c7,sP8_iProver_def))) != sk_c11
    | multiply(inverse(multiply(sk_c7,sP8_iProver_def)),sk_c10) != sk_c11
    | multiply(sP8_iProver_def,inverse(multiply(sk_c7,sP8_iProver_def))) != inverse(sP8_iProver_def)
    | inverse(multiply(sk_c7,sP8_iProver_def)) != inverse(sP9_iProver_def)
    | ~ sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_441662,c_590]) ).

cnf(c_483287,plain,
    inverse(multiply(sk_c7,sP8_iProver_def)) = multiply(sk_c6,sP9_iProver_def),
    inference(superposition,[status(thm)],[c_441662,c_418261]) ).

cnf(c_483313,plain,
    ( multiply(multiply(sk_c7,sP8_iProver_def),inverse(multiply(sk_c7,sP8_iProver_def))) != sk_c11
    | multiply(inverse(multiply(sk_c7,sP8_iProver_def)),sk_c10) != sk_c11
    | inverse(multiply(sk_c7,sP8_iProver_def)) != sk_c7
    | sk_c6 != sP9_iProver_def
    | ~ sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_483280,c_416149,c_418317,c_441662]) ).

cnf(c_483379,plain,
    multiply(inverse(multiply(X0,sP8_iProver_def)),multiply(X0,sk_c6)) = inverse(multiply(sP8_iProver_def,sP8_iProver_def)),
    inference(superposition,[status(thm)],[c_441663,c_408076]) ).

cnf(c_483380,plain,
    ( multiply(multiply(sP8_iProver_def,sP8_iProver_def),inverse(multiply(sP8_iProver_def,sP8_iProver_def))) != sk_c11
    | multiply(inverse(multiply(sP8_iProver_def,sP8_iProver_def)),sk_c10) != sk_c11
    | multiply(sP8_iProver_def,inverse(multiply(sP8_iProver_def,sP8_iProver_def))) != inverse(sP8_iProver_def)
    | inverse(multiply(sP8_iProver_def,sP8_iProver_def)) != inverse(sk_c6)
    | ~ sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_441663,c_590]) ).

cnf(c_483387,plain,
    inverse(multiply(sP8_iProver_def,sP8_iProver_def)) = multiply(sk_c6,sk_c6),
    inference(superposition,[status(thm)],[c_441663,c_418261]) ).

cnf(c_483402,plain,
    ( multiply(multiply(sP8_iProver_def,sP8_iProver_def),inverse(multiply(sP8_iProver_def,sP8_iProver_def))) != sk_c11
    | multiply(inverse(multiply(sP8_iProver_def,sP8_iProver_def)),sk_c10) != sk_c11
    | inverse(multiply(sP8_iProver_def,sP8_iProver_def)) != sP8_iProver_def
    | sk_c6 != sk_c6
    | ~ sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_483380,c_577,c_418317,c_441663]) ).

cnf(c_483403,plain,
    ( multiply(multiply(sP8_iProver_def,sP8_iProver_def),inverse(multiply(sP8_iProver_def,sP8_iProver_def))) != sk_c11
    | multiply(inverse(multiply(sP8_iProver_def,sP8_iProver_def)),sk_c10) != sk_c11
    | inverse(multiply(sP8_iProver_def,sP8_iProver_def)) != sP8_iProver_def
    | ~ sP4_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_483402]) ).

cnf(c_484285,plain,
    multiply(inverse(multiply(inverse(multiply(X0,sk_c1)),multiply(X0,sP17_iProver_def))),sP19_iProver_def) = sk_c2,
    inference(superposition,[status(thm)],[c_425008,c_438648]) ).

cnf(c_484286,plain,
    multiply(inverse(multiply(inverse(multiply(X0,sk_c2)),multiply(X0,sP17_iProver_def))),sP17_iProver_def) = sk_c2,
    inference(superposition,[status(thm)],[c_425009,c_438648]) ).

cnf(c_484517,plain,
    multiply(multiply(sk_c2,sk_c2),sP17_iProver_def) = sk_c2,
    inference(light_normalisation,[status(thm)],[c_484286,c_463678,c_463683,c_472345]) ).

cnf(c_484518,plain,
    multiply(multiply(sk_c2,sk_c1),sP19_iProver_def) = sk_c2,
    inference(light_normalisation,[status(thm)],[c_484285,c_464883,c_464885,c_480607]) ).

cnf(c_488715,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_473744,c_473666,c_455263,c_444304,c_442291,c_434754,c_425117,c_413841,c_421148,c_444439,c_421357,c_484518,c_484517,c_435027,c_483403,c_483387,c_483379,c_483313,c_483287,c_480607,c_472367,c_472345,c_464888,c_464885,c_463683,c_459384,c_454055,c_453968,c_447890,c_450376,c_450375,c_442302,c_441666,c_438724,c_438700,c_441079,c_441078,c_441077,c_441074,c_440990,c_444492,c_434558,c_434541,c_434540,c_434150,c_436100,c_424947,c_424945,c_424943,c_420070,c_419988,c_419943,c_419632,c_420740,c_419591,c_419513,c_419508,c_419507,c_419511,c_418803,c_418317,c_418292,c_418257,c_416149,c_416146,c_416104,c_413662,c_413646,c_413275,c_412650,c_412630,c_412614,c_410233,c_410179,c_410175,c_410170,c_399629,c_399619,c_399609,c_399478,c_409007,c_409006,c_409005,c_409003,c_409002,c_409001,c_408999,c_408998,c_408997,c_408996,c_408995,c_408994,c_408986,c_408985,c_408984,c_408983,c_408982,c_408981,c_408979,c_408978,c_408977,c_408975,c_408974,c_408973,c_65142,c_408146,c_408066,c_404879,c_401075,c_399659,c_434145,c_397192,c_396954,c_433688,c_396689,c_395139,c_395134,c_644,c_643,c_642,c_641,c_640,c_639,c_638,c_636,c_634,c_633,c_629,c_619,c_604,c_603,c_602,c_601,c_600,c_599,c_598,c_597,c_596,c_595,c_589,c_588,c_586,c_584,c_582,c_577]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP340-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n022.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu Jun 20 13:25:09 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 101.48/14.28  % SZS status Started for theBenchmark.p
% 101.48/14.28  % SZS status Unsatisfiable for theBenchmark.p
% 101.48/14.28  
% 101.48/14.28  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 101.48/14.28  
% 101.48/14.28  ------  iProver source info
% 101.48/14.28  
% 101.48/14.28  git: date: 2024-06-12 09:56:46 +0000
% 101.48/14.28  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 101.48/14.28  git: non_committed_changes: false
% 101.48/14.28  
% 101.48/14.28  ------ Parsing...successful
% 101.48/14.28  
% 101.48/14.28  
% 101.48/14.28  
% 101.48/14.28  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 101.48/14.28  
% 101.48/14.28  ------ Preprocessing... gs_s  sp: 5 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 101.48/14.28  
% 101.48/14.28  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 101.48/14.28  ------ Proving...
% 101.48/14.28  ------ Problem Properties 
% 101.48/14.28  
% 101.48/14.28  
% 101.48/14.28  clauses                                 74
% 101.48/14.28  conjectures                             56
% 101.48/14.28  EPR                                     51
% 101.48/14.28  Horn                                    23
% 101.48/14.28  unary                                   18
% 101.48/14.28  binary                                  50
% 101.48/14.28  lits                                    141
% 101.48/14.28  lits eq                                 131
% 101.48/14.28  fd_pure                                 0
% 101.48/14.28  fd_pseudo                               0
% 101.48/14.28  fd_cond                                 0
% 101.48/14.28  fd_pseudo_cond                          0
% 101.48/14.28  AC symbols                              0
% 101.48/14.28  
% 101.48/14.28  ------ Schedule dynamic 5 is on 
% 101.48/14.28  
% 101.48/14.28  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 101.48/14.28  
% 101.48/14.28  
% 101.48/14.28  ------ 
% 101.48/14.28  Current options:
% 101.48/14.28  ------ 
% 101.48/14.28  
% 101.48/14.28  
% 101.48/14.28  
% 101.48/14.28  
% 101.48/14.28  ------ Proving...
% 101.48/14.28  Proof_search_loop: time out after: 18519 full_loop iterations
% 101.48/14.28  
% 101.48/14.28  ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 101.48/14.28  
% 101.48/14.28  
% 101.48/14.28  ------ 
% 101.48/14.28  Current options:
% 101.48/14.28  ------ 
% 101.48/14.28  
% 101.48/14.28  
% 101.48/14.28  
% 101.48/14.28  
% 101.48/14.28  ------ Proving...
% 101.48/14.28  
% 101.48/14.28  
% 101.48/14.28  % SZS status Unsatisfiable for theBenchmark.p
% 101.48/14.28  
% 101.48/14.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 101.48/14.29  
% 101.48/14.30  
%------------------------------------------------------------------------------