%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP506-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:22:47 EDT 2024

% Result   : Unsatisfiable 58.70s 8.14s
% Output   : CNFRefutation 58.70s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(multiply(X4,inverse(X5)),inverse(X3))))))),X5) = X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

cnf(c_50,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

cnf(c_60,plain,
    inverse(b2) = sP0_iProver_def,
    definition ).

cnf(c_61,plain,
    multiply(sP0_iProver_def,b2) = sP1_iProver_def,
    definition ).

cnf(c_62,plain,
    multiply(sP1_iProver_def,a2) = sP2_iProver_def,
    definition ).

cnf(c_63,negated_conjecture,
    sP2_iProver_def != a2,
    inference(demodulation,[status(thm)],[c_50,c_60,c_61,c_62]) ).

cnf(c_100,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(multiply(X2,inverse(X3)),inverse(X1))))))),X3) = X2,
    inference(superposition,[status(thm)],[c_61,c_49]) ).

cnf(c_106,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X2,inverse(X3)),inverse(b2))))))),X3) = X2,
    inference(superposition,[status(thm)],[c_61,c_49]) ).

cnf(c_115,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(multiply(X4,inverse(inverse(X5))),inverse(X3))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X7)),multiply(X7,X6))),multiply(inverse(multiply(X8,X9)),multiply(X8,inverse(multiply(X4,inverse(X9))))))),X5),
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_117,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X2,inverse(X3)),sP0_iProver_def)))))),X3) = X2,
    inference(light_normalisation,[status(thm)],[c_106,c_60]) ).

cnf(c_133,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(X1)),sP0_iProver_def)))))),X1) = X0,
    inference(superposition,[status(thm)],[c_61,c_117]) ).

cnf(c_134,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(X1)),sP0_iProver_def)))))),X1) = X0,
    inference(superposition,[status(thm)],[c_62,c_117]) ).

cnf(c_142,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X2,sP0_iProver_def),sP0_iProver_def)))))),b2) = X2,
    inference(superposition,[status(thm)],[c_60,c_117]) ).

cnf(c_206,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(multiply(X4,inverse(inverse(X5))),inverse(X3))))))) = multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X4,sP0_iProver_def)))))),X5),
    inference(superposition,[status(thm)],[c_49,c_133]) ).

cnf(c_209,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,sP0_iProver_def),sP0_iProver_def)))))),b2) = X0,
    inference(superposition,[status(thm)],[c_60,c_133]) ).

cnf(c_217,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(inverse(X1))),sP0_iProver_def)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))),X1),
    inference(superposition,[status(thm)],[c_133,c_133]) ).

cnf(c_248,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(sP0_iProver_def)),sP0_iProver_def)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))),b2),
    inference(superposition,[status(thm)],[c_133,c_209]) ).

cnf(c_271,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(multiply(multiply(X0,inverse(X1)),inverse(a2))))))),X1) = X0,
    inference(superposition,[status(thm)],[c_62,c_100]) ).

cnf(c_283,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(X0,b2)),multiply(X0,inverse(multiply(multiply(X1,inverse(X2)),sP0_iProver_def)))))),X2) = X1,
    inference(superposition,[status(thm)],[c_60,c_100]) ).

cnf(c_357,plain,
    inverse(multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(sP0_iProver_def)),sP0_iProver_def)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))),b2),
    inference(superposition,[status(thm)],[c_134,c_209]) ).

cnf(c_478,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X2,sP0_iProver_def),sP0_iProver_def)))))))),X2)),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X3,sP0_iProver_def),sP0_iProver_def)))))),b2) = X3,
    inference(superposition,[status(thm)],[c_142,c_142]) ).

cnf(c_515,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(inverse(X1))),sP0_iProver_def)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(multiply(X0,inverse(a2))))))),X1),
    inference(superposition,[status(thm)],[c_133,c_271]) ).

cnf(c_520,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(multiply(multiply(X0,inverse(inverse(X1))),inverse(a2))))))) = multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(multiply(X0,inverse(a2))))))),X1),
    inference(superposition,[status(thm)],[c_271,c_271]) ).

cnf(c_522,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(multiply(multiply(X0,inverse(inverse(X1))),inverse(a2))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))),X1),
    inference(superposition,[status(thm)],[c_271,c_117]) ).

cnf(c_524,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(multiply(X0,inverse(a2))))))),X1) = multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))),X1),
    inference(light_normalisation,[status(thm)],[c_515,c_217]) ).

cnf(c_585,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X2,inverse(inverse(multiply(multiply(X3,inverse(X4)),sP0_iProver_def)))),sP0_iProver_def)))))),b2)),X2))),X4) = X3,
    inference(superposition,[status(thm)],[c_117,c_283]) ).

cnf(c_594,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(X0,b2)),multiply(X0,inverse(multiply(multiply(X1,inverse(inverse(X2))),sP0_iProver_def)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X1,sP0_iProver_def)))))),X2),
    inference(superposition,[status(thm)],[c_283,c_133]) ).

cnf(c_596,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(X0,b2)),multiply(X0,inverse(multiply(multiply(X1,inverse(sP0_iProver_def)),sP0_iProver_def)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X1,sP0_iProver_def)))))),b2),
    inference(superposition,[status(thm)],[c_283,c_209]) ).

cnf(c_598,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(multiply(multiply(X0,inverse(b2)),sP0_iProver_def)))))),inverse(multiply(multiply(X2,inverse(X3)),sP0_iProver_def)))))),X3) = X2,
    inference(superposition,[status(thm)],[c_283,c_283]) ).

cnf(c_599,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(X0,b2)),multiply(X0,inverse(multiply(multiply(X1,inverse(inverse(multiply(multiply(X2,inverse(X3)),sP0_iProver_def)))),sP0_iProver_def)))))),b2)),X1))),X3) = X2,
    inference(superposition,[status(thm)],[c_283,c_283]) ).

cnf(c_601,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(multiply(multiply(X0,sP0_iProver_def),sP0_iProver_def)))))),inverse(multiply(multiply(X2,inverse(X3)),sP0_iProver_def)))))),X3) = X2,
    inference(light_normalisation,[status(thm)],[c_598,c_60]) ).

cnf(c_3884,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))),b2),sP0_iProver_def) = X0,
    inference(superposition,[status(thm)],[c_248,c_133]) ).

cnf(c_3955,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))),b2),b2),sP0_iProver_def) = multiply(X0,inverse(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_248,c_3884]) ).

cnf(c_3966,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(X0))))),b2),sP0_iProver_def) = multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))),b2),
    inference(superposition,[status(thm)],[c_3884,c_3884]) ).

cnf(c_3969,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(X0))))),b2),sP0_iProver_def),sP0_iProver_def) = X0,
    inference(demodulation,[status(thm)],[c_3884,c_3966]) ).

cnf(c_4002,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,sP0_iProver_def)))),b2),sP0_iProver_def),sP0_iProver_def) = b2,
    inference(superposition,[status(thm)],[c_60,c_3969]) ).

cnf(c_4051,plain,
    multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(X0))))),b2),sP0_iProver_def),b2),sP0_iProver_def) = multiply(X0,inverse(sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_3955,c_3966]) ).

cnf(c_4052,plain,
    multiply(multiply(multiply(X0,inverse(b2)),sP0_iProver_def),inverse(sP0_iProver_def)) = multiply(multiply(multiply(X0,sP0_iProver_def),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_133,c_4051]) ).

cnf(c_4062,plain,
    multiply(multiply(multiply(X0,sP0_iProver_def),sP0_iProver_def),inverse(sP0_iProver_def)) = multiply(multiply(multiply(X0,sP0_iProver_def),b2),sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_4052,c_60]) ).

cnf(c_4188,plain,
    multiply(multiply(X0,sP0_iProver_def),inverse(sP0_iProver_def)) = multiply(multiply(X0,b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_3969,c_4062]) ).

cnf(c_5532,plain,
    inverse(multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(sP0_iProver_def)),sP0_iProver_def)))))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(X0))))),b2),sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_357,c_3966]) ).

cnf(c_5534,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))),b2),sP0_iProver_def) = inverse(multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(X0,b2),sP0_iProver_def),sP0_iProver_def)))))),
    inference(superposition,[status(thm)],[c_4188,c_5532]) ).

cnf(c_5550,plain,
    inverse(multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(X0,b2),sP0_iProver_def),sP0_iProver_def)))))) = X0,
    inference(light_normalisation,[status(thm)],[c_5534,c_3966,c_3969]) ).

cnf(c_5632,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(X0))))) = inverse(multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(X0))))),
    inference(superposition,[status(thm)],[c_3969,c_5550]) ).

cnf(c_5652,plain,
    multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X0)))),b2),sP0_iProver_def),sP0_iProver_def) = multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(X0,b2),sP0_iProver_def),sP0_iProver_def))))),
    inference(superposition,[status(thm)],[c_5550,c_3969]) ).

cnf(c_5667,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(X0,b2),sP0_iProver_def),sP0_iProver_def)))))) = X0,
    inference(demodulation,[status(thm)],[c_5550,c_5632]) ).

cnf(c_5669,plain,
    multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(X0),b2),sP0_iProver_def),sP0_iProver_def))))) = X0,
    inference(demodulation,[status(thm)],[c_3969,c_5652]) ).

cnf(c_5670,plain,
    multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(sP0_iProver_def,b2),sP0_iProver_def),sP0_iProver_def))))) = b2,
    inference(demodulation,[status(thm)],[c_4002,c_5652]) ).

cnf(c_5671,plain,
    multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def))))) = b2,
    inference(light_normalisation,[status(thm)],[c_5670,c_61]) ).

cnf(c_5966,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def)))))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_61,c_5667]) ).

cnf(c_6101,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(b2)),sP0_iProver_def))))) = multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,sP0_iProver_def),sP0_iProver_def))))),
    inference(superposition,[status(thm)],[c_133,c_5669]) ).

cnf(c_6106,plain,
    multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(sP0_iProver_def,b2),sP0_iProver_def),sP0_iProver_def))))) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def))))),
    inference(superposition,[status(thm)],[c_5966,c_5669]) ).

cnf(c_6111,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,sP0_iProver_def),sP0_iProver_def))))) = multiply(inverse(multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,sP0_iProver_def),sP0_iProver_def))))),
    inference(light_normalisation,[status(thm)],[c_6101,c_60]) ).

cnf(c_6112,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def))))) = b2,
    inference(light_normalisation,[status(thm)],[c_6106,c_61,c_5671]) ).

cnf(c_6114,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(X0),b2),sP0_iProver_def),sP0_iProver_def))))) = X0,
    inference(demodulation,[status(thm)],[c_5669,c_6111]) ).

cnf(c_6149,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(X0))))),b2),sP0_iProver_def),sP0_iProver_def),sP0_iProver_def))))) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))))),
    inference(superposition,[status(thm)],[c_3966,c_6114]) ).

cnf(c_6228,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X4,inverse(X3))))))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X4,sP0_iProver_def)))))),X5),
    inference(light_normalisation,[status(thm)],[c_115,c_206]) ).

cnf(c_6304,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))),b2),sP0_iProver_def),sP0_iProver_def))))) = multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X0,inverse(X4)))))),
    inference(superposition,[status(thm)],[c_6228,c_6114]) ).

cnf(c_6309,plain,
    multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X4,inverse(X3)))))) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X4,sP0_iProver_def))))),
    inference(light_normalisation,[status(thm)],[c_6304,c_3966,c_6149]) ).

cnf(c_19340,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(X2,inverse(X1)))))) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X2,sP0_iProver_def))))),
    inference(superposition,[status(thm)],[c_61,c_6309]) ).

cnf(c_19361,plain,
    multiply(inverse(multiply(inverse(multiply(a2,sP1_iProver_def)),sP2_iProver_def)),multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(X2,inverse(X1)))))) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X2,sP0_iProver_def))))),
    inference(superposition,[status(thm)],[c_62,c_6309]) ).

cnf(c_19383,plain,
    multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(multiply(X2,inverse(a2)))))) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X2,sP0_iProver_def))))),
    inference(superposition,[status(thm)],[c_62,c_6309]) ).

cnf(c_20893,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(multiply(X0,inverse(a2)))))) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))))),
    inference(superposition,[status(thm)],[c_62,c_19340]) ).

cnf(c_20920,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(X0,b2)),multiply(X0,inverse(multiply(X1,sP0_iProver_def))))) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X1,sP0_iProver_def))))),
    inference(superposition,[status(thm)],[c_60,c_19340]) ).

cnf(c_21042,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(X0,b2)),multiply(X0,inverse(X1)))) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(X1)))),
    inference(superposition,[status(thm)],[c_133,c_20920]) ).

cnf(c_21459,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(X0,b2)),multiply(X0,X1))) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,X1))),
    inference(superposition,[status(thm)],[c_5667,c_21042]) ).

cnf(c_21474,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(sP1_iProver_def,b2)),sP2_iProver_def)) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,a2))),
    inference(superposition,[status(thm)],[c_62,c_21459]) ).

cnf(c_24875,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))),X1),inverse(X1)) = X0,
    inference(superposition,[status(thm)],[c_217,c_133]) ).

cnf(c_25580,plain,
    multiply(multiply(X0,X1),inverse(X1)) = multiply(multiply(X0,b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_5667,c_24875]) ).

cnf(c_25821,plain,
    multiply(multiply(sP1_iProver_def,b2),sP0_iProver_def) = multiply(sP2_iProver_def,inverse(a2)),
    inference(superposition,[status(thm)],[c_62,c_25580]) ).

cnf(c_25822,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(X1)),sP0_iProver_def)))))),b2),sP0_iProver_def) = multiply(X0,inverse(X1)),
    inference(superposition,[status(thm)],[c_133,c_25580]) ).

cnf(c_25825,plain,
    multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))))),inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X0,inverse(X2))))))) = multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_19340,c_25580]) ).

cnf(c_25826,plain,
    multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))))),inverse(multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(multiply(X0,inverse(a2))))))) = multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_20893,c_25580]) ).

cnf(c_25860,plain,
    multiply(multiply(multiply(X0,b2),sP0_iProver_def),inverse(inverse(X1))) = multiply(multiply(multiply(X0,X1),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_25580,c_25580]) ).

cnf(c_26147,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP2_iProver_def,inverse(a2)),sP0_iProver_def)))))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_25821,c_5667]) ).

cnf(c_26217,plain,
    multiply(multiply(sP2_iProver_def,inverse(a2)),inverse(inverse(X0))) = multiply(multiply(multiply(sP1_iProver_def,X0),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_25821,c_25860]) ).

cnf(c_26221,plain,
    multiply(multiply(multiply(sP0_iProver_def,X0),b2),sP0_iProver_def) = multiply(multiply(sP1_iProver_def,sP0_iProver_def),inverse(inverse(X0))),
    inference(superposition,[status(thm)],[c_61,c_25860]) ).

cnf(c_27325,plain,
    multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))))),inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X0,inverse(X2))))))) = multiply(multiply(inverse(multiply(inverse(multiply(a2,sP1_iProver_def)),sP2_iProver_def)),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_19361,c_25580]) ).

cnf(c_27338,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(a2,sP1_iProver_def)),sP2_iProver_def)),b2),sP0_iProver_def) = multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),b2),sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_27325,c_25825]) ).

cnf(c_28292,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),b2),sP0_iProver_def),sP0_iProver_def)))))) = inverse(multiply(inverse(multiply(a2,sP1_iProver_def)),sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_27338,c_5667]) ).

cnf(c_28293,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),b2),sP0_iProver_def),sP0_iProver_def))))) = multiply(inverse(multiply(a2,sP1_iProver_def)),sP2_iProver_def),
    inference(superposition,[status(thm)],[c_27338,c_6114]) ).

cnf(c_28576,plain,
    multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))))),inverse(multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(multiply(X0,inverse(a2))))))) = multiply(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_19383,c_25580]) ).

cnf(c_28589,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),b2),sP0_iProver_def) = multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),b2),sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_28576,c_25826]) ).

cnf(c_29559,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),b2),sP0_iProver_def),sP0_iProver_def)))))) = inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),
    inference(superposition,[status(thm)],[c_28589,c_5667]) ).

cnf(c_29560,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),b2),sP0_iProver_def),sP0_iProver_def))))) = multiply(inverse(multiply(X0,X1)),multiply(X1,X0)),
    inference(superposition,[status(thm)],[c_28589,c_6114]) ).

cnf(c_29562,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X1,X0)) = multiply(inverse(multiply(a2,sP1_iProver_def)),sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_29560,c_28293]) ).

cnf(c_29563,plain,
    inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))) = inverse(multiply(inverse(multiply(a2,sP1_iProver_def)),sP2_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_29559,c_28292]) ).

cnf(c_30127,plain,
    multiply(inverse(multiply(a2,sP1_iProver_def)),sP2_iProver_def) = multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_61,c_29562]) ).

cnf(c_30128,plain,
    multiply(inverse(multiply(a2,sP1_iProver_def)),sP2_iProver_def) = multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_62,c_29562]) ).

cnf(c_30137,plain,
    multiply(inverse(b2),multiply(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def)))),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))))) = multiply(inverse(multiply(a2,sP1_iProver_def)),sP2_iProver_def),
    inference(superposition,[status(thm)],[c_6112,c_29562]) ).

cnf(c_30168,plain,
    multiply(inverse(multiply(b2,sP0_iProver_def)),sP1_iProver_def) = multiply(inverse(multiply(a2,sP1_iProver_def)),sP2_iProver_def),
    inference(superposition,[status(thm)],[c_61,c_29562]) ).

cnf(c_30217,plain,
    multiply(sP0_iProver_def,multiply(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def)))),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))))) = multiply(inverse(multiply(a2,sP1_iProver_def)),sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_30137,c_60]) ).

cnf(c_30218,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X1,X0)) = multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),
    inference(demodulation,[status(thm)],[c_29562,c_30127]) ).

cnf(c_30714,plain,
    multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)) = multiply(inverse(sP2_iProver_def),multiply(a2,sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_30128,c_30127]) ).

cnf(c_30726,plain,
    multiply(inverse(multiply(b2,sP0_iProver_def)),sP1_iProver_def) = multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_30168,c_30127]) ).

cnf(c_30778,plain,
    multiply(inverse(multiply(inverse(X0),multiply(X1,X0))),multiply(multiply(X1,b2),sP0_iProver_def)) = multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_25580,c_30218]) ).

cnf(c_30779,plain,
    multiply(inverse(multiply(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def)))),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))))),b2) = multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_6112,c_30218]) ).

cnf(c_30782,plain,
    multiply(inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,b2))),multiply(sP2_iProver_def,inverse(a2))) = multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_25821,c_30218]) ).

cnf(c_30801,plain,
    multiply(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),inverse(multiply(X0,X1))) = multiply(multiply(inverse(multiply(X1,X0)),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_30218,c_25580]) ).

cnf(c_30805,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,b2))),
    inference(superposition,[status(thm)],[c_30218,c_21459]) ).

cnf(c_30806,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_30805,c_61]) ).

cnf(c_31582,plain,
    multiply(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),inverse(multiply(sP2_iProver_def,inverse(a2)))) = multiply(multiply(inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,b2))),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_30782,c_25580]) ).

cnf(c_31943,plain,
    multiply(inverse(multiply(inverse(X0),multiply(sP1_iProver_def,X0))),multiply(sP2_iProver_def,inverse(a2))) = multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_25821,c_30778]) ).

cnf(c_32269,plain,
    multiply(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),inverse(multiply(sP2_iProver_def,inverse(a2)))) = multiply(multiply(inverse(multiply(inverse(X0),multiply(sP1_iProver_def,X0))),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_31943,c_25580]) ).

cnf(c_32274,plain,
    multiply(multiply(inverse(multiply(inverse(X0),multiply(sP1_iProver_def,X0))),b2),sP0_iProver_def) = multiply(multiply(inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,b2))),b2),sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_32269,c_31582]) ).

cnf(c_32394,plain,
    multiply(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)))) = multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(X1,X0)))),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_30218,c_30801]) ).

cnf(c_32397,plain,
    multiply(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)))) = multiply(multiply(inverse(multiply(multiply(a2,sP1_iProver_def),inverse(sP2_iProver_def))),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_30714,c_30801]) ).

cnf(c_32398,plain,
    multiply(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)))) = multiply(multiply(inverse(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def)))),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_30726,c_30801]) ).

cnf(c_32399,plain,
    multiply(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)))) = multiply(multiply(inverse(multiply(sP2_iProver_def,inverse(multiply(a2,sP1_iProver_def)))),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_30127,c_30801]) ).

cnf(c_34159,plain,
    multiply(multiply(inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,b2))),b2),sP0_iProver_def) = multiply(multiply(inverse(multiply(inverse(a2),sP2_iProver_def)),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_62,c_32274]) ).

cnf(c_34174,plain,
    multiply(multiply(inverse(multiply(inverse(X0),multiply(sP1_iProver_def,X0))),b2),sP0_iProver_def) = multiply(multiply(inverse(multiply(inverse(a2),sP2_iProver_def)),b2),sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_32274,c_34159]) ).

cnf(c_34313,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(inverse(a2),sP2_iProver_def)),b2),sP0_iProver_def),sP0_iProver_def))))) = multiply(sP0_iProver_def,multiply(sP1_iProver_def,b2)),
    inference(superposition,[status(thm)],[c_34159,c_6114]) ).

cnf(c_34602,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(inverse(a2),sP2_iProver_def)),b2),sP0_iProver_def),sP0_iProver_def))))) = multiply(inverse(X0),multiply(sP1_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_34174,c_6114]) ).

cnf(c_34603,plain,
    multiply(inverse(X0),multiply(sP1_iProver_def,X0)) = multiply(sP0_iProver_def,multiply(sP1_iProver_def,b2)),
    inference(light_normalisation,[status(thm)],[c_34602,c_34313]) ).

cnf(c_34670,plain,
    multiply(sP0_iProver_def,multiply(sP1_iProver_def,b2)) = multiply(inverse(a2),sP2_iProver_def),
    inference(superposition,[status(thm)],[c_62,c_34603]) ).

cnf(c_34685,plain,
    multiply(inverse(X0),multiply(sP1_iProver_def,X0)) = multiply(inverse(a2),sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_34603,c_34670]) ).

cnf(c_41080,plain,
    multiply(multiply(inverse(multiply(multiply(a2,sP1_iProver_def),inverse(sP2_iProver_def))),b2),sP0_iProver_def) = multiply(multiply(inverse(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def)))),b2),sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_32397,c_32398]) ).

cnf(c_41100,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def)))),b2),sP0_iProver_def),sP0_iProver_def)))))) = inverse(multiply(multiply(a2,sP1_iProver_def),inverse(sP2_iProver_def))),
    inference(superposition,[status(thm)],[c_41080,c_5667]) ).

cnf(c_41105,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def)))),b2),sP0_iProver_def),sP0_iProver_def))))) = multiply(multiply(a2,sP1_iProver_def),inverse(sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_41080,c_6114]) ).

cnf(c_41413,plain,
    multiply(multiply(inverse(multiply(multiply(b2,sP0_iProver_def),inverse(sP1_iProver_def))),b2),sP0_iProver_def) = multiply(multiply(inverse(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def)))),b2),sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_32398,c_30801]) ).

cnf(c_41433,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def)))),b2),sP0_iProver_def),sP0_iProver_def)))))) = inverse(multiply(multiply(b2,sP0_iProver_def),inverse(sP1_iProver_def))),
    inference(superposition,[status(thm)],[c_41413,c_5667]) ).

cnf(c_41438,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def)))),b2),sP0_iProver_def),sP0_iProver_def))))) = multiply(multiply(b2,sP0_iProver_def),inverse(sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_41413,c_6114]) ).

cnf(c_41439,plain,
    inverse(multiply(multiply(b2,sP0_iProver_def),inverse(sP1_iProver_def))) = inverse(multiply(multiply(a2,sP1_iProver_def),inverse(sP2_iProver_def))),
    inference(light_normalisation,[status(thm)],[c_41433,c_41100,c_41105]) ).

cnf(c_41503,plain,
    multiply(multiply(inverse(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def)))),b2),sP0_iProver_def) = multiply(multiply(inverse(multiply(sP2_iProver_def,inverse(multiply(a2,sP1_iProver_def)))),b2),sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_32399,c_32398]) ).

cnf(c_41523,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def)))),b2),sP0_iProver_def),sP0_iProver_def)))))) = inverse(multiply(sP2_iProver_def,inverse(multiply(a2,sP1_iProver_def)))),
    inference(superposition,[status(thm)],[c_41503,c_5667]) ).

cnf(c_41528,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def)))),b2),sP0_iProver_def),sP0_iProver_def))))) = multiply(sP2_iProver_def,inverse(multiply(a2,sP1_iProver_def))),
    inference(superposition,[status(thm)],[c_41503,c_6114]) ).

cnf(c_41529,plain,
    inverse(multiply(multiply(b2,sP0_iProver_def),inverse(sP1_iProver_def))) = inverse(multiply(sP2_iProver_def,inverse(multiply(a2,sP1_iProver_def)))),
    inference(light_normalisation,[status(thm)],[c_41523,c_41100,c_41438]) ).

cnf(c_41592,plain,
    inverse(multiply(multiply(a2,sP1_iProver_def),inverse(sP2_iProver_def))) = inverse(multiply(sP2_iProver_def,inverse(multiply(a2,sP1_iProver_def)))),
    inference(light_normalisation,[status(thm)],[c_41439,c_41529]) ).

cnf(c_41620,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(sP2_iProver_def,inverse(multiply(a2,sP1_iProver_def)))),b2),sP0_iProver_def),sP0_iProver_def))))) = multiply(multiply(a2,sP1_iProver_def),inverse(sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_41592,c_6114]) ).

cnf(c_41639,plain,
    multiply(multiply(a2,sP1_iProver_def),inverse(sP2_iProver_def)) = multiply(sP2_iProver_def,inverse(multiply(a2,sP1_iProver_def))),
    inference(light_normalisation,[status(thm)],[c_41620,c_41503,c_41528]) ).

cnf(c_41931,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(sP2_iProver_def,inverse(multiply(a2,sP1_iProver_def)))),b2),sP0_iProver_def),sP0_iProver_def))))) = multiply(multiply(b2,sP0_iProver_def),inverse(sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_41529,c_6114]) ).

cnf(c_41948,plain,
    multiply(multiply(b2,sP0_iProver_def),inverse(sP1_iProver_def)) = multiply(sP2_iProver_def,inverse(multiply(a2,sP1_iProver_def))),
    inference(light_normalisation,[status(thm)],[c_41931,c_41503,c_41528]) ).

cnf(c_42339,plain,
    multiply(multiply(sP2_iProver_def,inverse(multiply(a2,sP1_iProver_def))),inverse(inverse(sP1_iProver_def))) = multiply(multiply(multiply(b2,sP0_iProver_def),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_41948,c_25580]) ).

cnf(c_45190,plain,
    multiply(sP0_iProver_def,multiply(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def)))),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))))) = multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_30217,c_30127]) ).

cnf(c_50001,plain,
    multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(X1,X0)))),b2),sP0_iProver_def) = multiply(multiply(inverse(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def)))),b2),sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_32394,c_32397,c_41503,c_41639]) ).

cnf(c_50267,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def)))),b2),sP0_iProver_def),sP0_iProver_def))))) = multiply(multiply(X0,X1),inverse(multiply(X1,X0))),
    inference(superposition,[status(thm)],[c_50001,c_6114]) ).

cnf(c_50285,plain,
    multiply(multiply(X0,X1),inverse(multiply(X1,X0))) = multiply(sP2_iProver_def,inverse(multiply(a2,sP1_iProver_def))),
    inference(light_normalisation,[status(thm)],[c_50267,c_41528]) ).

cnf(c_51363,plain,
    multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))) = multiply(sP2_iProver_def,inverse(multiply(a2,sP1_iProver_def))),
    inference(superposition,[status(thm)],[c_61,c_50285]) ).

cnf(c_51653,plain,
    multiply(multiply(X0,X1),inverse(multiply(X1,X0))) = multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),
    inference(demodulation,[status(thm)],[c_50285,c_51363]) ).

cnf(c_51660,plain,
    multiply(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),inverse(inverse(sP1_iProver_def))) = multiply(multiply(multiply(b2,sP0_iProver_def),b2),sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_42339,c_51363]) ).

cnf(c_51663,plain,
    multiply(multiply(a2,sP1_iProver_def),inverse(sP2_iProver_def)) = multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),
    inference(demodulation,[status(thm)],[c_41639,c_51363]) ).

cnf(c_53285,plain,
    multiply(multiply(multiply(X0,b2),sP0_iProver_def),inverse(multiply(inverse(X1),multiply(X0,X1)))) = multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),
    inference(superposition,[status(thm)],[c_25580,c_51653]) ).

cnf(c_53374,plain,
    multiply(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)))) = multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),
    inference(superposition,[status(thm)],[c_30726,c_51653]) ).

cnf(c_53380,plain,
    multiply(multiply(inverse(X0),multiply(X1,X0)),inverse(multiply(multiply(X1,b2),sP0_iProver_def))) = multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),
    inference(superposition,[status(thm)],[c_25580,c_51653]) ).

cnf(c_53469,plain,
    multiply(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),inverse(inverse(multiply(X0,X1)))) = multiply(multiply(multiply(X1,X0),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_51653,c_25580]) ).

cnf(c_53487,plain,
    multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),b2),sP0_iProver_def) = multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),
    inference(superposition,[status(thm)],[c_51653,c_30801]) ).

cnf(c_54383,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),sP0_iProver_def)))))) = inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),
    inference(superposition,[status(thm)],[c_53487,c_5667]) ).

cnf(c_54610,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),sP0_iProver_def)))))),multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))) = multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),
    inference(superposition,[status(thm)],[c_53374,c_133]) ).

cnf(c_54617,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),sP1_iProver_def)) = multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),
    inference(light_normalisation,[status(thm)],[c_54610,c_30806,c_54383]) ).

cnf(c_54895,plain,
    multiply(multiply(sP1_iProver_def,sP0_iProver_def),inverse(multiply(inverse(X0),multiply(sP0_iProver_def,X0)))) = multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),
    inference(superposition,[status(thm)],[c_61,c_53285]) ).

cnf(c_55021,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),sP0_iProver_def)))))),multiply(inverse(X0),multiply(X1,X0))) = multiply(multiply(X1,b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_53285,c_133]) ).

cnf(c_55042,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(X0),multiply(X1,X0))) = multiply(multiply(X1,b2),sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_55021,c_54383]) ).

cnf(c_55794,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),sP0_iProver_def)))))),multiply(inverse(X0),multiply(sP0_iProver_def,X0))) = multiply(sP1_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_54895,c_133]) ).

cnf(c_55803,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(X0),multiply(sP0_iProver_def,X0))) = multiply(sP1_iProver_def,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_55794,c_54383]) ).

cnf(c_56252,plain,
    multiply(multiply(inverse(X0),multiply(sP0_iProver_def,X0)),inverse(multiply(sP1_iProver_def,sP0_iProver_def))) = multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),
    inference(superposition,[status(thm)],[c_61,c_53380]) ).

cnf(c_57103,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))),sP0_iProver_def)))))),multiply(sP1_iProver_def,sP0_iProver_def)) = multiply(inverse(X0),multiply(sP0_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_56252,c_133]) ).

cnf(c_57112,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(sP1_iProver_def,sP0_iProver_def)) = multiply(inverse(X0),multiply(sP0_iProver_def,X0)),
    inference(light_normalisation,[status(thm)],[c_57103,c_54383]) ).

cnf(c_57203,plain,
    multiply(inverse(X0),multiply(sP0_iProver_def,X0)) = multiply(inverse(X1),multiply(sP0_iProver_def,X1)),
    inference(superposition,[status(thm)],[c_57112,c_57112]) ).

cnf(c_57422,plain,
    multiply(inverse(X0),multiply(sP0_iProver_def,X0)) = multiply(inverse(b2),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_61,c_57203]) ).

cnf(c_57488,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,multiply(sP0_iProver_def,b2)))) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(X0),multiply(sP0_iProver_def,X0))),
    inference(superposition,[status(thm)],[c_57203,c_21459]) ).

cnf(c_57499,plain,
    multiply(inverse(X0),multiply(sP0_iProver_def,X0)) = multiply(sP0_iProver_def,sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_57422,c_60]) ).

cnf(c_57523,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,sP1_iProver_def))) = multiply(sP1_iProver_def,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_57488,c_61,c_55803]) ).

cnf(c_57530,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(sP1_iProver_def,sP0_iProver_def)) = multiply(sP0_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_57112,c_57499]) ).

cnf(c_57627,plain,
    multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(multiply(sP0_iProver_def,X0))) = multiply(multiply(inverse(X0),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_57499,c_25580]) ).

cnf(c_57645,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,multiply(sP0_iProver_def,b2)))) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(sP0_iProver_def,sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_57499,c_21459]) ).

cnf(c_57659,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(sP0_iProver_def,sP1_iProver_def)) = multiply(sP1_iProver_def,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_57645,c_61,c_57523]) ).

cnf(c_57875,plain,
    multiply(multiply(inverse(b2),b2),sP0_iProver_def) = multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_61,c_57627]) ).

cnf(c_57876,plain,
    multiply(multiply(inverse(multiply(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def)))),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))))),b2),sP0_iProver_def) = multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)))),
    inference(superposition,[status(thm)],[c_45190,c_57627]) ).

cnf(c_57903,plain,
    multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP1_iProver_def)) = multiply(sP1_iProver_def,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_57875,c_60,c_61]) ).

cnf(c_57908,plain,
    multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)))) = multiply(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_57876,c_30779]) ).

cnf(c_58647,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(sP0_iProver_def,multiply(X0,b2))) = multiply(multiply(X0,b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_60,c_55042]) ).

cnf(c_58657,plain,
    multiply(multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(X1)),sP0_iProver_def)))))),b2),sP0_iProver_def) = multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(X1),X0)),
    inference(superposition,[status(thm)],[c_133,c_55042]) ).

cnf(c_58808,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(X0),X1)) = multiply(X1,inverse(X0)),
    inference(light_normalisation,[status(thm)],[c_58657,c_25822]) ).

cnf(c_58829,plain,
    multiply(sP1_iProver_def,inverse(multiply(b2,sP0_iProver_def))) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_54617,c_58808]) ).

cnf(c_58830,plain,
    multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(X1)),sP0_iProver_def))),inverse(sP1_iProver_def))),X1) = X0,
    inference(demodulation,[status(thm)],[c_133,c_58808]) ).

cnf(c_58831,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))),X1) = inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(inverse(X1))),sP0_iProver_def))),inverse(sP1_iProver_def))),
    inference(demodulation,[status(thm)],[c_217,c_58808]) ).

cnf(c_58835,plain,
    inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(sP2_iProver_def,inverse(a2)),sP0_iProver_def))),inverse(sP1_iProver_def))) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_26147,c_58808]) ).

cnf(c_58836,plain,
    inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(X0,b2),sP0_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def))) = X0,
    inference(demodulation,[status(thm)],[c_5667,c_58808]) ).

cnf(c_58837,plain,
    multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def)) = b2,
    inference(demodulation,[status(thm)],[c_6112,c_58808]) ).

cnf(c_58839,plain,
    multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(X0),b2),sP0_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def)) = X0,
    inference(demodulation,[status(thm)],[c_6114,c_58808]) ).

cnf(c_58840,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(multiply(sP1_iProver_def,b2)),sP2_iProver_def)) = multiply(multiply(sP0_iProver_def,a2),inverse(sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_21474,c_58808]) ).

cnf(c_58843,plain,
    multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),inverse(inverse(multiply(X0,X1)))) = multiply(multiply(multiply(X1,X0),b2),sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_53469,c_58829]) ).

cnf(c_58845,plain,
    multiply(multiply(inverse(X0),multiply(X1,X0)),inverse(multiply(multiply(X1,b2),sP0_iProver_def))) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_53380,c_58829]) ).

cnf(c_58850,plain,
    multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),b2),sP0_iProver_def) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_53487,c_58829]) ).

cnf(c_58852,plain,
    multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),inverse(inverse(sP1_iProver_def))) = multiply(multiply(multiply(b2,sP0_iProver_def),b2),sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_51660,c_58829]) ).

cnf(c_58853,plain,
    multiply(multiply(X0,X1),inverse(multiply(X1,X0))) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_51653,c_58829]) ).

cnf(c_58854,plain,
    multiply(multiply(a2,sP1_iProver_def),inverse(sP2_iProver_def)) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_51663,c_58829]) ).

cnf(c_61162,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(a2),sP2_iProver_def)) = multiply(multiply(sP1_iProver_def,b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_34670,c_58647]) ).

cnf(c_61180,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(a2),sP2_iProver_def)) = multiply(sP2_iProver_def,inverse(a2)),
    inference(light_normalisation,[status(thm)],[c_61162,c_25821]) ).

cnf(c_61349,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(inverse(a2),sP2_iProver_def)) = multiply(multiply(sP1_iProver_def,X0),inverse(X0)),
    inference(superposition,[status(thm)],[c_34685,c_58808]) ).

cnf(c_61365,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(sP1_iProver_def,sP0_iProver_def)) = multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)))),
    inference(superposition,[status(thm)],[c_57659,c_58808]) ).

cnf(c_61369,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(sP0_iProver_def,X0)) = multiply(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_60,c_58808]) ).

cnf(c_61370,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(sP1_iProver_def,X0)) = multiply(X0,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_58835,c_58808]) ).

cnf(c_61395,plain,
    multiply(multiply(sP1_iProver_def,X0),inverse(X0)) = multiply(sP2_iProver_def,inverse(a2)),
    inference(light_normalisation,[status(thm)],[c_61349,c_61180]) ).

cnf(c_61401,plain,
    multiply(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),sP0_iProver_def) = multiply(sP0_iProver_def,sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_61365,c_57530,c_57908]) ).

cnf(c_61469,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),sP1_iProver_def) = multiply(b2,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_61,c_61369]) ).

cnf(c_61621,plain,
    multiply(multiply(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),b2),sP0_iProver_def) = multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_61401,c_25580]) ).

cnf(c_62257,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),sP2_iProver_def) = multiply(a2,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_62,c_61370]) ).

cnf(c_62280,plain,
    multiply(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),sP1_iProver_def) = multiply(inverse(a2),sP2_iProver_def),
    inference(superposition,[status(thm)],[c_61370,c_34685]) ).

cnf(c_62485,plain,
    multiply(multiply(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)),b2),sP0_iProver_def) = multiply(multiply(inverse(a2),sP2_iProver_def),inverse(sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_62280,c_25580]) ).

cnf(c_62494,plain,
    multiply(multiply(inverse(a2),sP2_iProver_def),inverse(sP1_iProver_def)) = multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_62485,c_61621]) ).

cnf(c_62863,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(X0,X1)) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_58836,c_58808]) ).

cnf(c_63253,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),multiply(X0,X1)) = multiply(multiply(X1,X0),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)))),
    inference(superposition,[status(thm)],[c_62863,c_62863]) ).

cnf(c_63296,plain,
    multiply(multiply(X0,X1),inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)))) = multiply(X0,X1),
    inference(light_normalisation,[status(thm)],[c_63253,c_62863]) ).

cnf(c_63952,plain,
    multiply(X0,multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))) = multiply(multiply(X0,b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_63296,c_25580]) ).

cnf(c_64233,plain,
    multiply(X0,inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)))) = X0,
    inference(superposition,[status(thm)],[c_58839,c_63296]) ).

cnf(c_64331,plain,
    multiply(inverse(inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def)))),sP0_iProver_def) = multiply(sP0_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_64233,c_57499]) ).

cnf(c_64571,plain,
    inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),sP0_iProver_def))),inverse(sP1_iProver_def))) = inverse(multiply(inverse(sP1_iProver_def),multiply(b2,sP0_iProver_def))),
    inference(superposition,[status(thm)],[c_58850,c_58836]) ).

cnf(c_64613,plain,
    multiply(multiply(multiply(b2,sP0_iProver_def),b2),sP0_iProver_def) = multiply(sP2_iProver_def,inverse(a2)),
    inference(demodulation,[status(thm)],[c_58852,c_61395]) ).

cnf(c_64627,plain,
    inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(sP2_iProver_def,inverse(a2)),sP0_iProver_def))),inverse(sP1_iProver_def))) = multiply(b2,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_64613,c_58836]) ).

cnf(c_64636,plain,
    multiply(b2,sP0_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_64627,c_58835]) ).

cnf(c_64643,plain,
    multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),b2),sP0_iProver_def) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_58850,c_64636]) ).

cnf(c_64644,plain,
    multiply(inverse(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def))),sP0_iProver_def) = multiply(sP0_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_64331,c_64636]) ).

cnf(c_64645,plain,
    multiply(X0,inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def))) = X0,
    inference(demodulation,[status(thm)],[c_64233,c_64636]) ).

cnf(c_64646,plain,
    multiply(X0,multiply(inverse(sP1_iProver_def),sP1_iProver_def)) = multiply(multiply(X0,b2),sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_63952,c_64636]) ).

cnf(c_64648,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(X0,X1)) = multiply(X1,X0),
    inference(demodulation,[status(thm)],[c_62863,c_64636]) ).

cnf(c_64650,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),sP2_iProver_def) = multiply(a2,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_62257,c_64636]) ).

cnf(c_64651,plain,
    multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),sP0_iProver_def) = multiply(sP0_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_61401,c_64636]) ).

cnf(c_64652,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),sP1_iProver_def) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_61469,c_64636]) ).

cnf(c_64681,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X1,X0)) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_30218,c_64636]) ).

cnf(c_64684,plain,
    multiply(inverse(multiply(a2,sP1_iProver_def)),sP2_iProver_def) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_30127,c_64636]) ).

cnf(c_64833,plain,
    multiply(multiply(b2,b2),sP0_iProver_def) = multiply(sP1_iProver_def,inverse(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_64636,c_25580]) ).

cnf(c_64955,plain,
    multiply(multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),b2),sP0_iProver_def) = multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_64651,c_25580]) ).

cnf(c_65123,plain,
    multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(X0,sP0_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def))),b2) = X0,
    inference(superposition,[status(thm)],[c_60,c_58830]) ).

cnf(c_65131,plain,
    inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(inverse(X1))),sP0_iProver_def))),inverse(sP1_iProver_def))) = multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))),inverse(sP1_iProver_def))),X1),
    inference(superposition,[status(thm)],[c_58830,c_58830]) ).

cnf(c_65328,plain,
    multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(sP1_iProver_def,sP0_iProver_def))),inverse(sP1_iProver_def))),b2) = b2,
    inference(superposition,[status(thm)],[c_64636,c_65123]) ).

cnf(c_65341,plain,
    multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def))),b2) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_64651,c_65123]) ).

cnf(c_65447,plain,
    multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def))),b2) = inverse(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def))),
    inference(superposition,[status(thm)],[c_64644,c_65123]) ).

cnf(c_65450,plain,
    inverse(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def))) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_65447,c_65341]) ).

cnf(c_65453,plain,
    multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),b2),sP0_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def)) = inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_65450,c_58839]) ).

cnf(c_65480,plain,
    multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def)),sP0_iProver_def))),inverse(sP1_iProver_def)) = inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_65453,c_64955]) ).

cnf(c_65710,plain,
    multiply(multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def))),sP0_iProver_def))),inverse(sP1_iProver_def))),b2),sP0_iProver_def) = X0,
    inference(superposition,[status(thm)],[c_64646,c_58830]) ).

cnf(c_65716,plain,
    multiply(multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))),inverse(sP1_iProver_def))),b2),sP0_iProver_def) = X0,
    inference(light_normalisation,[status(thm)],[c_65710,c_64645]) ).

cnf(c_65767,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(sP1_iProver_def,inverse(sP0_iProver_def))) = multiply(sP0_iProver_def,multiply(b2,b2)),
    inference(superposition,[status(thm)],[c_64833,c_64648]) ).

cnf(c_65775,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(multiply(sP1_iProver_def,sP0_iProver_def),inverse(inverse(X0)))) = multiply(sP0_iProver_def,multiply(multiply(sP0_iProver_def,X0),b2)),
    inference(superposition,[status(thm)],[c_26221,c_64648]) ).

cnf(c_65794,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(multiply(X0,b2),sP0_iProver_def)) = multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),X0),
    inference(superposition,[status(thm)],[c_64646,c_64648]) ).

cnf(c_65798,plain,
    multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def)))) = multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),b2),
    inference(superposition,[status(thm)],[c_58837,c_64648]) ).

cnf(c_65801,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def))) = multiply(inverse(sP1_iProver_def),multiply(inverse(a2),sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_62494,c_64648]) ).

cnf(c_65807,plain,
    multiply(b2,inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(X0,sP0_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def)))) = multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),X0),
    inference(superposition,[status(thm)],[c_65123,c_64648]) ).

cnf(c_66005,plain,
    multiply(inverse(X0),multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),X0)) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_64645,c_64681]) ).

cnf(c_66026,plain,
    multiply(inverse(b2),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def))))) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_58837,c_64681]) ).

cnf(c_66055,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),X0)),X0) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_64645,c_64681]) ).

cnf(c_66095,plain,
    multiply(multiply(inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def))),b2),sP0_iProver_def) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_64681,c_64646]) ).

cnf(c_66125,plain,
    multiply(sP0_iProver_def,multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),b2)) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_66026,c_60,c_65798]) ).

cnf(c_66530,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(inverse(sP1_iProver_def),sP1_iProver_def)) = multiply(sP0_iProver_def,multiply(inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def))),b2)),
    inference(superposition,[status(thm)],[c_66095,c_64648]) ).

cnf(c_66541,plain,
    multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def)) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_66095,c_58839]) ).

cnf(c_66542,plain,
    multiply(multiply(sP0_iProver_def,inverse(multiply(sP0_iProver_def,sP1_iProver_def))),inverse(sP1_iProver_def)) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_66541,c_64651]) ).

cnf(c_66675,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(inverse(sP1_iProver_def),sP1_iProver_def)) = multiply(multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_66125,c_64648]) ).

cnf(c_66689,plain,
    multiply(sP0_iProver_def,multiply(inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def))),b2)) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_66675,c_64643,c_66530]) ).

cnf(c_66738,plain,
    multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),sP0_iProver_def))),inverse(sP1_iProver_def))),sP1_iProver_def) = multiply(sP0_iProver_def,inverse(multiply(sP0_iProver_def,sP1_iProver_def))),
    inference(superposition,[status(thm)],[c_66542,c_58830]) ).

cnf(c_66740,plain,
    multiply(sP0_iProver_def,inverse(multiply(sP0_iProver_def,sP1_iProver_def))) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_66738,c_64571,c_64636,c_64652]) ).

cnf(c_66745,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),sP1_iProver_def) = multiply(inverse(multiply(sP0_iProver_def,sP1_iProver_def)),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_66740,c_64648]) ).

cnf(c_66757,plain,
    multiply(inverse(multiply(sP0_iProver_def,sP1_iProver_def)),sP0_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_66745,c_64652]) ).

cnf(c_66940,plain,
    multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(sP1_iProver_def,sP0_iProver_def))),inverse(sP1_iProver_def))),b2) = inverse(multiply(sP0_iProver_def,sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_66757,c_65123]) ).

cnf(c_66945,plain,
    inverse(multiply(sP0_iProver_def,sP1_iProver_def)) = b2,
    inference(light_normalisation,[status(thm)],[c_66940,c_65328]) ).

cnf(c_66948,plain,
    multiply(b2,multiply(sP1_iProver_def,sP0_iProver_def)) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_66945,c_64681]) ).

cnf(c_66949,plain,
    multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(b2,b2),sP0_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def)) = multiply(sP0_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_66945,c_58839]) ).

cnf(c_66963,plain,
    multiply(multiply(multiply(X0,multiply(sP0_iProver_def,sP1_iProver_def)),b2),sP0_iProver_def) = multiply(multiply(multiply(X0,b2),sP0_iProver_def),inverse(b2)),
    inference(superposition,[status(thm)],[c_66945,c_25860]) ).

cnf(c_66964,plain,
    multiply(multiply(X0,multiply(sP0_iProver_def,sP1_iProver_def)),b2) = multiply(multiply(X0,b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_66945,c_25580]) ).

cnf(c_66966,plain,
    multiply(multiply(inverse(sP1_iProver_def),b2),sP0_iProver_def) = multiply(multiply(sP0_iProver_def,sP1_iProver_def),b2),
    inference(superposition,[status(thm)],[c_66945,c_57627]) ).

cnf(c_66968,plain,
    multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,inverse(sP0_iProver_def)),sP0_iProver_def))),inverse(sP1_iProver_def)) = multiply(sP0_iProver_def,sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_66949,c_64833]) ).

cnf(c_66969,plain,
    multiply(multiply(multiply(X0,multiply(sP0_iProver_def,sP1_iProver_def)),b2),sP0_iProver_def) = multiply(multiply(multiply(X0,b2),sP0_iProver_def),sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_66963,c_60]) ).

cnf(c_67270,plain,
    multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),inverse(multiply(sP1_iProver_def,sP0_iProver_def))) = multiply(multiply(b2,b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_66948,c_25580]) ).

cnf(c_67275,plain,
    multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),inverse(multiply(sP1_iProver_def,sP0_iProver_def))) = multiply(sP1_iProver_def,inverse(sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_67270,c_64833]) ).

cnf(c_67397,plain,
    multiply(multiply(inverse(multiply(sP1_iProver_def,sP0_iProver_def)),b2),sP0_iProver_def) = multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),b2),
    inference(superposition,[status(thm)],[c_64681,c_66964]) ).

cnf(c_67402,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(multiply(X0,b2),sP0_iProver_def)) = multiply(b2,multiply(X0,multiply(sP0_iProver_def,sP1_iProver_def))),
    inference(superposition,[status(thm)],[c_66964,c_64648]) ).

cnf(c_67416,plain,
    multiply(b2,multiply(X0,multiply(sP0_iProver_def,sP1_iProver_def))) = multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),X0),
    inference(light_normalisation,[status(thm)],[c_67402,c_65794]) ).

cnf(c_67474,plain,
    multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),inverse(multiply(sP1_iProver_def,sP0_iProver_def))) = multiply(b2,multiply(inverse(sP1_iProver_def),sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_64681,c_67416]) ).

cnf(c_67475,plain,
    multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),inverse(sP1_iProver_def)) = multiply(b2,multiply(sP0_iProver_def,sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_57499,c_67416]) ).

cnf(c_67487,plain,
    multiply(b2,multiply(inverse(sP1_iProver_def),sP1_iProver_def)) = multiply(sP1_iProver_def,inverse(sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_67474,c_67275]) ).

cnf(c_67502,plain,
    multiply(multiply(sP0_iProver_def,sP1_iProver_def),b2) = multiply(b2,multiply(sP0_iProver_def,sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_67475,c_25580,c_66966]) ).

cnf(c_67503,plain,
    multiply(multiply(inverse(sP1_iProver_def),b2),sP0_iProver_def) = multiply(b2,multiply(sP0_iProver_def,sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_66966,c_67502]) ).

cnf(c_67505,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(b2,multiply(sP0_iProver_def,sP1_iProver_def))) = multiply(b2,multiply(sP0_iProver_def,sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_67502,c_64648]) ).

cnf(c_67522,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(b2,multiply(sP0_iProver_def,sP1_iProver_def))) = multiply(sP0_iProver_def,multiply(inverse(sP1_iProver_def),b2)),
    inference(superposition,[status(thm)],[c_67503,c_64648]) ).

cnf(c_67536,plain,
    multiply(sP0_iProver_def,multiply(inverse(sP1_iProver_def),b2)) = multiply(b2,multiply(sP0_iProver_def,sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_67522,c_67505]) ).

cnf(c_67590,plain,
    multiply(multiply(sP1_iProver_def,sP0_iProver_def),inverse(inverse(multiply(inverse(sP1_iProver_def),b2)))) = multiply(multiply(multiply(b2,multiply(sP0_iProver_def,sP1_iProver_def)),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_67536,c_26221]) ).

cnf(c_67708,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def))) = multiply(sP0_iProver_def,multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),b2)),
    inference(superposition,[status(thm)],[c_64955,c_64648]) ).

cnf(c_67720,plain,
    multiply(sP0_iProver_def,multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),b2)) = multiply(inverse(sP1_iProver_def),multiply(inverse(a2),sP2_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_67708,c_65801]) ).

cnf(c_67851,plain,
    multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def))),X0) = inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),inverse(X0))),
    inference(superposition,[status(thm)],[c_66055,c_58830]) ).

cnf(c_67852,plain,
    multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def))),b2) = inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_66055,c_65123]) ).

cnf(c_67856,plain,
    multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),sP0_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def)) = multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),b2),
    inference(superposition,[status(thm)],[c_66055,c_58839]) ).

cnf(c_67872,plain,
    multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def)) = multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),b2),
    inference(light_normalisation,[status(thm)],[c_67856,c_64651]) ).

cnf(c_67874,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),sP0_iProver_def)) = multiply(inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def))),b2),
    inference(light_normalisation,[status(thm)],[c_67852,c_61,c_64651,c_66945]) ).

cnf(c_67876,plain,
    inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),inverse(X0))) = multiply(inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def))),X0),
    inference(light_normalisation,[status(thm)],[c_67851,c_61,c_64651,c_66945]) ).

cnf(c_67996,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),b2)) = multiply(sP0_iProver_def,multiply(inverse(multiply(sP1_iProver_def,sP0_iProver_def)),b2)),
    inference(superposition,[status(thm)],[c_67397,c_64648]) ).

cnf(c_68112,plain,
    multiply(multiply(sP1_iProver_def,sP0_iProver_def),inverse(inverse(multiply(inverse(sP1_iProver_def),b2)))) = multiply(multiply(sP1_iProver_def,inverse(sP0_iProver_def)),sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_67590,c_64833,c_66969]) ).

cnf(c_68153,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(inverse(multiply(sP1_iProver_def,b2)),sP2_iProver_def)) = multiply(multiply(sP0_iProver_def,a2),inverse(sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_58840,c_64636]) ).

cnf(c_68154,plain,
    multiply(multiply(sP0_iProver_def,a2),inverse(sP1_iProver_def)) = multiply(sP2_iProver_def,inverse(multiply(sP1_iProver_def,b2))),
    inference(demodulation,[status(thm)],[c_68153,c_64648]) ).

cnf(c_68467,plain,
    multiply(multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(X0)),inverse(sP1_iProver_def))),b2),sP0_iProver_def) = multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))),inverse(sP1_iProver_def))),b2),
    inference(superposition,[status(thm)],[c_65716,c_65716]) ).

cnf(c_68476,plain,
    multiply(multiply(multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(X0)),inverse(sP1_iProver_def))),b2),sP0_iProver_def),sP0_iProver_def) = X0,
    inference(demodulation,[status(thm)],[c_65716,c_68467]) ).

cnf(c_68632,plain,
    multiply(sP0_iProver_def,multiply(b2,b2)) = multiply(inverse(sP0_iProver_def),sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_65767,c_64648]) ).

cnf(c_69308,plain,
    multiply(multiply(multiply(inverse(multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP1_iProver_def))),b2),sP0_iProver_def),sP0_iProver_def) = multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(sP2_iProver_def,inverse(a2)),sP0_iProver_def))),inverse(sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_58835,c_68476]) ).

cnf(c_69328,plain,
    multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(sP2_iProver_def,inverse(a2)),sP0_iProver_def))),inverse(sP1_iProver_def)) = multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_69308,c_57903,c_64955,c_67397]) ).

cnf(c_69332,plain,
    inverse(multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def))) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_58835,c_69328]) ).

cnf(c_69343,plain,
    multiply(sP1_iProver_def,multiply(inverse(sP0_iProver_def),multiply(sP0_iProver_def,sP1_iProver_def))) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_69332,c_64681]) ).

cnf(c_69345,plain,
    multiply(sP1_iProver_def,multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def)))) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_69332,c_66005]) ).

cnf(c_69361,plain,
    multiply(multiply(X0,multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def))),sP1_iProver_def) = multiply(multiply(X0,b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_69332,c_25580]) ).

cnf(c_69363,plain,
    multiply(sP1_iProver_def,multiply(inverse(sP1_iProver_def),multiply(inverse(a2),sP2_iProver_def))) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_69345,c_65801]) ).

cnf(c_69753,plain,
    multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),inverse(multiply(inverse(sP0_iProver_def),multiply(sP0_iProver_def,sP1_iProver_def)))) = multiply(multiply(sP1_iProver_def,b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_69343,c_25580]) ).

cnf(c_69761,plain,
    multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),inverse(multiply(inverse(sP0_iProver_def),multiply(sP0_iProver_def,sP1_iProver_def)))) = multiply(sP2_iProver_def,inverse(a2)),
    inference(light_normalisation,[status(thm)],[c_69753,c_25821]) ).

cnf(c_69803,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(inverse(sP1_iProver_def),sP1_iProver_def)) = multiply(multiply(inverse(sP1_iProver_def),multiply(inverse(a2),sP2_iProver_def)),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_69363,c_64648]) ).

cnf(c_69814,plain,
    multiply(multiply(inverse(sP1_iProver_def),multiply(inverse(a2),sP2_iProver_def)),sP1_iProver_def) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_69803,c_66530,c_66689]) ).

cnf(c_69948,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(multiply(X0,b2),sP0_iProver_def)) = multiply(sP1_iProver_def,multiply(X0,multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def)))),
    inference(superposition,[status(thm)],[c_69361,c_64648]) ).

cnf(c_69957,plain,
    multiply(sP1_iProver_def,multiply(X0,multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def)))) = multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),X0),
    inference(light_normalisation,[status(thm)],[c_69948,c_65794]) ).

cnf(c_70094,plain,
    multiply(inverse(inverse(X0)),multiply(sP1_iProver_def,sP0_iProver_def)) = multiply(sP0_iProver_def,multiply(multiply(sP0_iProver_def,X0),b2)),
    inference(demodulation,[status(thm)],[c_65775,c_64648]) ).

cnf(c_70266,plain,
    multiply(b2,inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def)),sP0_iProver_def))),inverse(sP1_iProver_def)))) = multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),b2)),
    inference(superposition,[status(thm)],[c_64955,c_65807]) ).

cnf(c_70295,plain,
    multiply(sP0_iProver_def,multiply(inverse(multiply(sP1_iProver_def,sP0_iProver_def)),b2)) = multiply(sP1_iProver_def,inverse(sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_70266,c_65450,c_65480,c_67487,c_67996]) ).

cnf(c_70341,plain,
    multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(sP1_iProver_def,inverse(sP0_iProver_def))) = multiply(multiply(inverse(multiply(sP1_iProver_def,sP0_iProver_def)),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_70295,c_64648]) ).

cnf(c_70355,plain,
    multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),b2) = multiply(inverse(sP0_iProver_def),sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_70341,c_65767,c_67397,c_68632]) ).

cnf(c_70360,plain,
    multiply(inverse(sP1_iProver_def),multiply(inverse(a2),sP2_iProver_def)) = multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_67720,c_70355]) ).

cnf(c_70362,plain,
    multiply(multiply(inverse(sP0_iProver_def),sP1_iProver_def),sP0_iProver_def) = multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def)),
    inference(demodulation,[status(thm)],[c_64955,c_70355]) ).

cnf(c_70363,plain,
    multiply(multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def)),sP1_iProver_def) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_69814,c_70360]) ).

cnf(c_70364,plain,
    multiply(sP1_iProver_def,multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def))) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_69363,c_70360]) ).

cnf(c_70816,plain,
    multiply(inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def))),multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def))) = inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_69332,c_67876]) ).

cnf(c_70843,plain,
    multiply(inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def))),multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def))) = inverse(sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_70816,c_64652]) ).

cnf(c_71460,plain,
    multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),inverse(multiply(inverse(sP0_iProver_def),multiply(sP0_iProver_def,sP1_iProver_def)))) = multiply(sP1_iProver_def,multiply(inverse(sP1_iProver_def),sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_64681,c_69957]) ).

cnf(c_71478,plain,
    multiply(sP1_iProver_def,multiply(inverse(sP1_iProver_def),sP1_iProver_def)) = multiply(sP2_iProver_def,inverse(a2)),
    inference(light_normalisation,[status(thm)],[c_71460,c_69761]) ).

cnf(c_72447,plain,
    multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),sP0_iProver_def))),inverse(sP1_iProver_def))),multiply(multiply(X0,b2),sP0_iProver_def)) = multiply(inverse(X1),multiply(X0,X1)),
    inference(superposition,[status(thm)],[c_58845,c_58830]) ).

cnf(c_72502,plain,
    multiply(inverse(X0),multiply(X1,X0)) = multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),X1),
    inference(light_normalisation,[status(thm)],[c_72447,c_64571,c_64636,c_65794]) ).

cnf(c_73280,plain,
    multiply(inverse(multiply(sP0_iProver_def,X0)),multiply(sP0_iProver_def,sP1_iProver_def)) = multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),inverse(X0)),
    inference(superposition,[status(thm)],[c_57499,c_72502]) ).

cnf(c_73408,plain,
    multiply(inverse(X0),multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),X0)) = multiply(multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_72502,c_64646]) ).

cnf(c_73419,plain,
    multiply(inverse(X0),multiply(X1,X0)) = multiply(inverse(X2),multiply(X1,X2)),
    inference(superposition,[status(thm)],[c_72502,c_72502]) ).

cnf(c_73426,plain,
    multiply(inverse(X0),multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),X0)) = multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_73408,c_70355,c_70362]) ).

cnf(c_74143,plain,
    multiply(inverse(X0),multiply(X1,X0)) = multiply(sP0_iProver_def,multiply(X1,b2)),
    inference(superposition,[status(thm)],[c_60,c_73419]) ).

cnf(c_74218,plain,
    multiply(inverse(X0),multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),X0)) = multiply(inverse(b2),multiply(inverse(sP0_iProver_def),sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_70355,c_73419]) ).

cnf(c_74358,plain,
    multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(sP0_iProver_def)) = multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_74218,c_60,c_73426]) ).

cnf(c_74443,plain,
    multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),X0) = multiply(sP0_iProver_def,multiply(X0,b2)),
    inference(demodulation,[status(thm)],[c_72502,c_74143]) ).

cnf(c_74455,plain,
    multiply(b2,multiply(X0,multiply(sP0_iProver_def,sP1_iProver_def))) = multiply(sP0_iProver_def,multiply(X0,b2)),
    inference(demodulation,[status(thm)],[c_67416,c_74443]) ).

cnf(c_74464,plain,
    multiply(inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def))),multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def))) = inverse(sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_70843,c_74358]) ).

cnf(c_74465,plain,
    multiply(multiply(inverse(sP0_iProver_def),sP1_iProver_def),sP0_iProver_def) = multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_70362,c_74358]) ).

cnf(c_74467,plain,
    inverse(multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def))) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_69332,c_74358]) ).

cnf(c_74468,plain,
    multiply(multiply(inverse(a2),sP2_iProver_def),inverse(sP1_iProver_def)) = multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_62494,c_74358]) ).

cnf(c_75595,plain,
    multiply(multiply(multiply(sP1_iProver_def,multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def))),b2),sP0_iProver_def) = multiply(multiply(sP2_iProver_def,inverse(a2)),inverse(sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_74467,c_26217]) ).

cnf(c_75605,plain,
    multiply(multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),b2),sP0_iProver_def) = multiply(multiply(sP2_iProver_def,inverse(a2)),inverse(sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_75595,c_70364]) ).

cnf(c_75699,plain,
    multiply(sP1_iProver_def,multiply(X0,multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def)))) = multiply(sP0_iProver_def,multiply(X0,b2)),
    inference(superposition,[status(thm)],[c_74467,c_74143]) ).

cnf(c_75700,plain,
    multiply(inverse(multiply(X0,X1)),multiply(inverse(sP1_iProver_def),sP1_iProver_def)) = multiply(sP0_iProver_def,multiply(inverse(multiply(X1,X0)),b2)),
    inference(superposition,[status(thm)],[c_64681,c_74143]) ).

cnf(c_75730,plain,
    multiply(inverse(multiply(sP1_iProver_def,sP0_iProver_def)),multiply(sP0_iProver_def,multiply(multiply(sP0_iProver_def,X0),b2))) = multiply(sP0_iProver_def,multiply(inverse(inverse(X0)),b2)),
    inference(superposition,[status(thm)],[c_70094,c_74143]) ).

cnf(c_75785,plain,
    multiply(sP0_iProver_def,multiply(multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def)),b2)) = multiply(inverse(sP1_iProver_def),multiply(sP1_iProver_def,inverse(sP1_iProver_def))),
    inference(superposition,[status(thm)],[c_70363,c_74143]) ).

cnf(c_75799,plain,
    multiply(inverse(multiply(X0,X1)),multiply(sP0_iProver_def,multiply(X0,b2))) = multiply(sP0_iProver_def,multiply(inverse(X1),b2)),
    inference(superposition,[status(thm)],[c_74143,c_74143]) ).

cnf(c_76003,plain,
    multiply(multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),b2),sP0_iProver_def) = multiply(sP0_iProver_def,multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),b2)),
    inference(superposition,[status(thm)],[c_74443,c_64646]) ).

cnf(c_76008,plain,
    multiply(sP0_iProver_def,multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),b2)) = multiply(multiply(sP2_iProver_def,inverse(a2)),inverse(sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_76003,c_75605]) ).

cnf(c_76043,plain,
    multiply(inverse(multiply(sP0_iProver_def,X0)),multiply(sP0_iProver_def,sP1_iProver_def)) = multiply(sP0_iProver_def,multiply(inverse(X0),b2)),
    inference(demodulation,[status(thm)],[c_73280,c_74443]) ).

cnf(c_76048,plain,
    multiply(sP0_iProver_def,multiply(inverse(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def))),b2)) = multiply(inverse(sP0_iProver_def),multiply(sP0_iProver_def,sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_64645,c_76043]) ).

cnf(c_76064,plain,
    multiply(inverse(multiply(sP0_iProver_def,sP1_iProver_def)),multiply(sP0_iProver_def,multiply(inverse(X0),b2))) = multiply(sP0_iProver_def,multiply(inverse(multiply(sP0_iProver_def,X0)),b2)),
    inference(superposition,[status(thm)],[c_76043,c_74143]) ).

cnf(c_76069,plain,
    multiply(multiply(sP2_iProver_def,inverse(a2)),inverse(sP1_iProver_def)) = multiply(inverse(sP0_iProver_def),multiply(sP0_iProver_def,sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_76048,c_65450,c_76008]) ).

cnf(c_76070,plain,
    multiply(b2,multiply(sP0_iProver_def,multiply(inverse(X0),b2))) = multiply(sP0_iProver_def,multiply(inverse(multiply(sP0_iProver_def,X0)),b2)),
    inference(light_normalisation,[status(thm)],[c_76064,c_66945]) ).

cnf(c_76558,plain,
    multiply(sP1_iProver_def,multiply(sP0_iProver_def,multiply(multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def)),b2))) = multiply(sP0_iProver_def,multiply(multiply(inverse(sP1_iProver_def),sP1_iProver_def),b2)),
    inference(superposition,[status(thm)],[c_74443,c_75699]) ).

cnf(c_76560,plain,
    multiply(sP1_iProver_def,multiply(inverse(sP1_iProver_def),sP1_iProver_def)) = multiply(sP0_iProver_def,multiply(sP1_iProver_def,b2)),
    inference(superposition,[status(thm)],[c_70364,c_75699]) ).

cnf(c_76571,plain,
    multiply(inverse(a2),sP2_iProver_def) = multiply(sP2_iProver_def,inverse(a2)),
    inference(light_normalisation,[status(thm)],[c_76560,c_34670,c_71478]) ).

cnf(c_76577,plain,
    multiply(sP1_iProver_def,multiply(inverse(sP1_iProver_def),multiply(sP1_iProver_def,inverse(sP1_iProver_def)))) = multiply(inverse(sP0_iProver_def),multiply(sP0_iProver_def,sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_76558,c_75785,c_76008,c_76069]) ).

cnf(c_76586,plain,
    multiply(multiply(sP2_iProver_def,inverse(a2)),inverse(sP1_iProver_def)) = multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_74468,c_76571]) ).

cnf(c_76587,plain,
    multiply(inverse(sP1_iProver_def),multiply(sP2_iProver_def,inverse(a2))) = multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_70360,c_76571]) ).

cnf(c_76592,plain,
    multiply(sP0_iProver_def,multiply(sP1_iProver_def,b2)) = multiply(sP2_iProver_def,inverse(a2)),
    inference(demodulation,[status(thm)],[c_34670,c_76571]) ).

cnf(c_76593,plain,
    multiply(inverse(sP0_iProver_def),multiply(sP0_iProver_def,sP1_iProver_def)) = multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_76586,c_76069]) ).

cnf(c_76594,plain,
    multiply(multiply(sP2_iProver_def,inverse(a2)),inverse(sP1_iProver_def)) = multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_76069,c_76593]) ).

cnf(c_76609,plain,
    multiply(multiply(sP2_iProver_def,inverse(a2)),inverse(multiply(sP2_iProver_def,inverse(a2)))) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_76571,c_58853]) ).

cnf(c_78879,plain,
    multiply(multiply(inverse(multiply(X0,X1)),b2),sP0_iProver_def) = multiply(sP0_iProver_def,multiply(inverse(multiply(X1,X0)),b2)),
    inference(demodulation,[status(thm)],[c_75700,c_64646]) ).

cnf(c_80218,plain,
    multiply(sP1_iProver_def,multiply(inverse(sP1_iProver_def),multiply(sP1_iProver_def,inverse(sP1_iProver_def)))) = multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_76577,c_76593]) ).

cnf(c_80221,plain,
    multiply(inverse(multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def))),multiply(sP0_iProver_def,multiply(sP1_iProver_def,b2))) = multiply(sP0_iProver_def,multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP1_iProver_def,inverse(sP1_iProver_def)))),b2)),
    inference(superposition,[status(thm)],[c_80218,c_75799]) ).

cnf(c_80239,plain,
    multiply(sP0_iProver_def,multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP1_iProver_def,inverse(sP1_iProver_def)))),b2)) = multiply(sP1_iProver_def,multiply(sP2_iProver_def,inverse(a2))),
    inference(light_normalisation,[status(thm)],[c_80221,c_74467,c_76592]) ).

cnf(c_80301,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X0,sP0_iProver_def),sP0_iProver_def)))))))),X0)),multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(multiply(X1,sP0_iProver_def),sP0_iProver_def)))))),b2) = X1,
    inference(light_normalisation,[status(thm)],[c_478,c_29563,c_64684]) ).

cnf(c_80302,plain,
    multiply(sP0_iProver_def,multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))))),b2)) = X0,
    inference(demodulation,[status(thm)],[c_80301,c_64648,c_65807,c_66055,c_68467,c_78879]) ).

cnf(c_80307,plain,
    multiply(sP0_iProver_def,multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(sP0_iProver_def,multiply(inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def))),b2)))),b2)) = inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_67874,c_80302]) ).

cnf(c_80346,plain,
    multiply(sP1_iProver_def,multiply(sP2_iProver_def,inverse(a2))) = inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_80307,c_66689,c_80239]) ).

cnf(c_80615,plain,
    multiply(inverse(multiply(sP2_iProver_def,inverse(a2))),inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def))) = multiply(sP0_iProver_def,multiply(sP1_iProver_def,b2)),
    inference(superposition,[status(thm)],[c_80346,c_74143]) ).

cnf(c_80619,plain,
    multiply(inverse(multiply(sP2_iProver_def,inverse(a2))),inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def))) = multiply(sP2_iProver_def,inverse(a2)),
    inference(light_normalisation,[status(thm)],[c_80615,c_76592]) ).

cnf(c_81272,plain,
    inverse(multiply(sP2_iProver_def,inverse(a2))) = multiply(sP2_iProver_def,inverse(a2)),
    inference(demodulation,[status(thm)],[c_80619,c_64645]) ).

cnf(c_81273,plain,
    multiply(multiply(sP2_iProver_def,inverse(a2)),multiply(sP2_iProver_def,inverse(a2))) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_76609,c_81272]) ).

cnf(c_81280,plain,
    multiply(multiply(sP2_iProver_def,inverse(a2)),multiply(inverse(a2),sP2_iProver_def)) = multiply(inverse(sP1_iProver_def),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_81272,c_64681]) ).

cnf(c_81287,plain,
    multiply(multiply(sP2_iProver_def,inverse(a2)),multiply(X0,multiply(sP2_iProver_def,inverse(a2)))) = multiply(sP0_iProver_def,multiply(X0,b2)),
    inference(superposition,[status(thm)],[c_81272,c_74143]) ).

cnf(c_81302,plain,
    multiply(inverse(sP1_iProver_def),sP1_iProver_def) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_81280,c_76571,c_81273]) ).

cnf(c_81312,plain,
    multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),X0) = multiply(sP0_iProver_def,multiply(X0,b2)),
    inference(demodulation,[status(thm)],[c_74443,c_81302]) ).

cnf(c_81324,plain,
    multiply(inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def))),multiply(X0,X1)) = multiply(X1,X0),
    inference(demodulation,[status(thm)],[c_64648,c_81302]) ).

cnf(c_81327,plain,
    multiply(inverse(multiply(a2,sP1_iProver_def)),sP2_iProver_def) = multiply(sP1_iProver_def,inverse(sP1_iProver_def)),
    inference(demodulation,[status(thm)],[c_64684,c_81302]) ).

cnf(c_81329,plain,
    multiply(inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def))),sP2_iProver_def) = multiply(a2,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_64650,c_81302]) ).

cnf(c_81331,plain,
    multiply(X0,inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def)))) = X0,
    inference(demodulation,[status(thm)],[c_64645,c_81302]) ).

cnf(c_81343,plain,
    multiply(multiply(inverse(sP0_iProver_def),sP1_iProver_def),sP0_iProver_def) = inverse(sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_74464,c_81324]) ).

cnf(c_81344,plain,
    multiply(sP0_iProver_def,multiply(inverse(sP0_iProver_def),sP1_iProver_def)) = inverse(sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_81343,c_74465]) ).

cnf(c_81352,plain,
    multiply(multiply(sP2_iProver_def,inverse(a2)),inverse(sP1_iProver_def)) = inverse(sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_76594,c_81344]) ).

cnf(c_81353,plain,
    multiply(inverse(sP1_iProver_def),multiply(sP2_iProver_def,inverse(a2))) = inverse(sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_76587,c_81344]) ).

cnf(c_81358,plain,
    inverse(inverse(sP1_iProver_def)) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_74467,c_81344]) ).

cnf(c_81371,plain,
    multiply(sP0_iProver_def,multiply(inverse(inverse(multiply(X0,X1))),b2)) = multiply(multiply(multiply(X1,X0),b2),sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_58843,c_81312]) ).

cnf(c_81905,plain,
    multiply(multiply(sP2_iProver_def,inverse(a2)),inverse(sP1_iProver_def)) = multiply(sP0_iProver_def,multiply(inverse(sP1_iProver_def),b2)),
    inference(superposition,[status(thm)],[c_81353,c_81287]) ).

cnf(c_81906,plain,
    multiply(b2,multiply(sP0_iProver_def,sP1_iProver_def)) = inverse(sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_81905,c_67536,c_81352]) ).

cnf(c_81917,plain,
    multiply(sP0_iProver_def,multiply(inverse(sP1_iProver_def),b2)) = inverse(sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_67536,c_81906]) ).

cnf(c_81918,plain,
    multiply(multiply(inverse(sP1_iProver_def),b2),sP0_iProver_def) = inverse(sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_67503,c_81906]) ).

cnf(c_81930,plain,
    multiply(sP0_iProver_def,multiply(b2,b2)) = multiply(b2,inverse(sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_81906,c_74455]) ).

cnf(c_81931,plain,
    multiply(multiply(b2,b2),sP0_iProver_def) = multiply(inverse(sP1_iProver_def),b2),
    inference(superposition,[status(thm)],[c_81906,c_66964]) ).

cnf(c_81932,plain,
    multiply(inverse(sP1_iProver_def),b2) = multiply(sP1_iProver_def,inverse(sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_81931,c_64833]) ).

cnf(c_81943,plain,
    multiply(multiply(sP1_iProver_def,sP0_iProver_def),inverse(inverse(multiply(sP1_iProver_def,inverse(sP0_iProver_def))))) = multiply(multiply(sP1_iProver_def,inverse(sP0_iProver_def)),sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_68112,c_81932]) ).

cnf(c_81977,plain,
    multiply(sP0_iProver_def,multiply(sP1_iProver_def,inverse(sP0_iProver_def))) = inverse(sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_81917,c_81932]) ).

cnf(c_81987,plain,
    multiply(multiply(sP1_iProver_def,sP0_iProver_def),inverse(inverse(multiply(sP1_iProver_def,inverse(sP0_iProver_def))))) = multiply(multiply(inverse(sP1_iProver_def),b2),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_81977,c_26221]) ).

cnf(c_81991,plain,
    multiply(multiply(sP1_iProver_def,inverse(sP0_iProver_def)),sP0_iProver_def) = inverse(sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_81987,c_81918,c_81943]) ).

cnf(c_81998,plain,
    multiply(multiply(sP0_iProver_def,inverse(inverse(sP1_iProver_def))),inverse(sP1_iProver_def)) = multiply(sP0_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_66968,c_81991]) ).

cnf(c_81999,plain,
    multiply(sP0_iProver_def,sP1_iProver_def) = multiply(sP1_iProver_def,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_81998,c_57903,c_81358]) ).

cnf(c_82003,plain,
    multiply(sP0_iProver_def,multiply(inverse(multiply(sP0_iProver_def,sP1_iProver_def)),b2)) = multiply(sP1_iProver_def,inverse(sP0_iProver_def)),
    inference(demodulation,[status(thm)],[c_70295,c_81999]) ).

cnf(c_82006,plain,
    multiply(multiply(sP0_iProver_def,inverse(multiply(multiply(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def))),inverse(sP1_iProver_def)) = b2,
    inference(demodulation,[status(thm)],[c_58837,c_81999]) ).

cnf(c_82009,plain,
    multiply(multiply(multiply(sP0_iProver_def,X0),b2),sP0_iProver_def) = multiply(multiply(sP0_iProver_def,sP1_iProver_def),inverse(inverse(X0))),
    inference(demodulation,[status(thm)],[c_26221,c_81999]) ).

cnf(c_82010,plain,
    multiply(inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def))),b2) = b2,
    inference(light_normalisation,[status(thm)],[c_82006,c_67872,c_81302]) ).

cnf(c_82011,plain,
    multiply(sP1_iProver_def,inverse(sP1_iProver_def)) = multiply(sP0_iProver_def,b2),
    inference(demodulation,[status(thm)],[c_66689,c_82010]) ).

cnf(c_82012,plain,
    multiply(sP1_iProver_def,inverse(sP1_iProver_def)) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_82011,c_61]) ).

cnf(c_82013,plain,
    multiply(X0,inverse(sP1_iProver_def)) = X0,
    inference(demodulation,[status(thm)],[c_81331,c_82012]) ).

cnf(c_82016,plain,
    multiply(multiply(X0,X1),inverse(multiply(X1,X0))) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_58853,c_82012]) ).

cnf(c_82018,plain,
    multiply(multiply(a2,sP1_iProver_def),inverse(sP2_iProver_def)) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_58854,c_82012]) ).

cnf(c_82021,plain,
    multiply(sP2_iProver_def,inverse(a2)) = inverse(sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_81352,c_82013]) ).

cnf(c_82024,plain,
    multiply(sP2_iProver_def,inverse(multiply(sP1_iProver_def,b2))) = multiply(sP0_iProver_def,a2),
    inference(demodulation,[status(thm)],[c_68154,c_82013]) ).

cnf(c_82027,plain,
    inverse(inverse(sP1_iProver_def)) = inverse(sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_81272,c_82021]) ).

cnf(c_82033,plain,
    multiply(sP0_iProver_def,multiply(sP1_iProver_def,b2)) = inverse(sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_76592,c_82021]) ).

cnf(c_82041,plain,
    inverse(sP1_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_82027,c_81358]) ).

cnf(c_82049,plain,
    multiply(b2,inverse(sP1_iProver_def)) = multiply(sP1_iProver_def,inverse(sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_82003,c_66945,c_81930]) ).

cnf(c_82070,plain,
    multiply(sP0_iProver_def,multiply(inverse(multiply(sP0_iProver_def,sP1_iProver_def)),b2)) = multiply(b2,multiply(sP0_iProver_def,multiply(sP1_iProver_def,b2))),
    inference(superposition,[status(thm)],[c_82041,c_76070]) ).

cnf(c_82075,plain,
    multiply(multiply(X0,b2),sP0_iProver_def) = multiply(multiply(X0,sP1_iProver_def),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_82041,c_25580]) ).

cnf(c_82076,plain,
    multiply(sP1_iProver_def,inverse(sP0_iProver_def)) = multiply(b2,sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_82070,c_66945,c_81930,c_82033,c_82041,c_82049]) ).

cnf(c_82105,plain,
    multiply(X0,sP1_iProver_def) = X0,
    inference(light_normalisation,[status(thm)],[c_82013,c_82041]) ).

cnf(c_82107,plain,
    multiply(inverse(multiply(sP0_iProver_def,X0)),sP0_iProver_def) = multiply(sP0_iProver_def,multiply(inverse(X0),b2)),
    inference(demodulation,[status(thm)],[c_76043,c_82105]) ).

cnf(c_82108,plain,
    inverse(sP0_iProver_def) = b2,
    inference(demodulation,[status(thm)],[c_66945,c_82105]) ).

cnf(c_82112,plain,
    multiply(sP0_iProver_def,multiply(X0,b2)) = multiply(inverse(sP1_iProver_def),X0),
    inference(superposition,[status(thm)],[c_82105,c_74143]) ).

cnf(c_82113,plain,
    multiply(sP0_iProver_def,multiply(X0,b2)) = multiply(sP1_iProver_def,X0),
    inference(light_normalisation,[status(thm)],[c_82112,c_82041]) ).

cnf(c_82116,plain,
    multiply(inverse(X0),multiply(X1,X0)) = multiply(sP1_iProver_def,X1),
    inference(demodulation,[status(thm)],[c_74143,c_82113]) ).

cnf(c_82547,plain,
    multiply(sP2_iProver_def,inverse(a2)) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_82021,c_82041]) ).

cnf(c_82560,plain,
    multiply(a2,inverse(sP2_iProver_def)) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_82018,c_82105]) ).

cnf(c_83249,plain,
    multiply(b2,sP1_iProver_def) = multiply(sP1_iProver_def,b2),
    inference(light_normalisation,[status(thm)],[c_82076,c_82108]) ).

cnf(c_83250,plain,
    multiply(sP1_iProver_def,b2) = b2,
    inference(demodulation,[status(thm)],[c_83249,c_82105]) ).

cnf(c_83283,plain,
    inverse(multiply(inverse(multiply(sP1_iProver_def,sP1_iProver_def)),multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(multiply(multiply(X0,inverse(inverse(X1))),inverse(a2))))))) = multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))),sP1_iProver_def)),X1),
    inference(light_normalisation,[status(thm)],[c_520,c_524,c_58831,c_64636,c_65131,c_82041]) ).

cnf(c_83284,plain,
    inverse(multiply(sP1_iProver_def,multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(multiply(multiply(X0,inverse(inverse(X1))),inverse(a2))))))) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),X1),
    inference(demodulation,[status(thm)],[c_83283,c_82041,c_82105]) ).

cnf(c_83291,plain,
    inverse(multiply(sP1_iProver_def,multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(multiply(multiply(X0,sP1_iProver_def),inverse(a2))))))) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_82041,c_83284]) ).

cnf(c_83316,plain,
    inverse(multiply(sP1_iProver_def,multiply(inverse(sP2_iProver_def),multiply(sP1_iProver_def,inverse(multiply(X0,inverse(a2))))))) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_83291,c_82105]) ).

cnf(c_83323,plain,
    multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(inverse(X1))),sP0_iProver_def)))),sP1_iProver_def) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),X1),
    inference(demodulation,[status(thm)],[c_83284,c_83316]) ).

cnf(c_83472,plain,
    multiply(X0,inverse(multiply(sP1_iProver_def,X0))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_82105,c_82016]) ).

cnf(c_83515,plain,
    multiply(multiply(inverse(multiply(sP1_iProver_def,X0)),X0),inverse(sP1_iProver_def)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_83472,c_82016]) ).

cnf(c_83522,plain,
    multiply(multiply(inverse(multiply(sP1_iProver_def,X0)),X0),sP1_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_83515,c_82041]) ).

cnf(c_83540,plain,
    multiply(sP0_iProver_def,a2) = multiply(sP2_iProver_def,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_82024,c_60,c_83250]) ).

cnf(c_83546,plain,
    multiply(b2,multiply(X0,sP0_iProver_def)) = multiply(sP1_iProver_def,X0),
    inference(superposition,[status(thm)],[c_82108,c_82116]) ).

cnf(c_83550,plain,
    multiply(inverse(inverse(a2)),sP1_iProver_def) = multiply(sP1_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_82547,c_82116]) ).

cnf(c_83555,plain,
    multiply(inverse(sP0_iProver_def),multiply(sP0_iProver_def,a2)) = multiply(sP1_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_83540,c_82116]) ).

cnf(c_83561,plain,
    multiply(inverse(inverse(multiply(sP1_iProver_def,X0))),sP1_iProver_def) = multiply(sP1_iProver_def,X0),
    inference(superposition,[status(thm)],[c_83472,c_82116]) ).

cnf(c_83574,plain,
    multiply(b2,multiply(sP0_iProver_def,a2)) = multiply(sP1_iProver_def,sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_83555,c_82108]) ).

cnf(c_83598,plain,
    multiply(sP1_iProver_def,sP2_iProver_def) = inverse(inverse(a2)),
    inference(demodulation,[status(thm)],[c_83550,c_82105]) ).

cnf(c_83649,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(sP1_iProver_def,multiply(sP0_iProver_def,inverse(multiply(X2,sP0_iProver_def)))))),X3) = multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(X2,sP0_iProver_def))),sP1_iProver_def)),X3),
    inference(light_normalisation,[status(thm)],[c_522,c_520,c_524,c_58831,c_65131,c_82041]) ).

cnf(c_83650,plain,
    multiply(inverse(multiply(inverse(multiply(sP1_iProver_def,sP1_iProver_def)),multiply(sP1_iProver_def,multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))),X1) = multiply(inverse(multiply(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def))),sP1_iProver_def)),X1),
    inference(light_normalisation,[status(thm)],[c_83649,c_29563,c_81327,c_82041]) ).

cnf(c_83651,plain,
    multiply(inverse(multiply(sP1_iProver_def,multiply(sP1_iProver_def,multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))),X1) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),X1),
    inference(demodulation,[status(thm)],[c_83650,c_82041,c_82105]) ).

cnf(c_83666,plain,
    inverse(multiply(sP1_iProver_def,multiply(sP1_iProver_def,multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))))) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_83651,c_82105]) ).

cnf(c_83749,plain,
    multiply(inverse(multiply(sP0_iProver_def,a2)),multiply(sP1_iProver_def,sP2_iProver_def)) = multiply(sP1_iProver_def,b2),
    inference(superposition,[status(thm)],[c_83574,c_82116]) ).

cnf(c_83751,plain,
    multiply(inverse(multiply(sP0_iProver_def,a2)),multiply(sP1_iProver_def,sP2_iProver_def)) = b2,
    inference(light_normalisation,[status(thm)],[c_83749,c_83250]) ).

cnf(c_83753,plain,
    multiply(inverse(multiply(sP1_iProver_def,X0)),X0) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_83522,c_82105]) ).

cnf(c_83764,plain,
    multiply(sP1_iProver_def,inverse(multiply(sP1_iProver_def,X0))) = multiply(inverse(X0),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_83753,c_82116]) ).

cnf(c_83768,plain,
    inverse(multiply(sP1_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_83753,c_82105]) ).

cnf(c_84150,plain,
    multiply(a2,sP1_iProver_def) = multiply(sP1_iProver_def,sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_81329,c_82041,c_83768]) ).

cnf(c_84151,plain,
    multiply(sP1_iProver_def,sP2_iProver_def) = a2,
    inference(demodulation,[status(thm)],[c_84150,c_82105]) ).

cnf(c_84152,plain,
    multiply(inverse(multiply(sP0_iProver_def,a2)),a2) = b2,
    inference(demodulation,[status(thm)],[c_83751,c_84151]) ).

cnf(c_84154,plain,
    multiply(b2,multiply(sP0_iProver_def,a2)) = a2,
    inference(demodulation,[status(thm)],[c_83574,c_84151]) ).

cnf(c_84155,plain,
    inverse(inverse(a2)) = a2,
    inference(demodulation,[status(thm)],[c_83598,c_84151]) ).

cnf(c_84187,plain,
    multiply(inverse(multiply(sP0_iProver_def,sP1_iProver_def)),multiply(sP0_iProver_def,multiply(multiply(sP0_iProver_def,X0),b2))) = multiply(sP0_iProver_def,multiply(inverse(inverse(X0)),b2)),
    inference(light_normalisation,[status(thm)],[c_75730,c_81999]) ).

cnf(c_84188,plain,
    multiply(b2,multiply(sP1_iProver_def,multiply(sP0_iProver_def,X0))) = multiply(sP1_iProver_def,inverse(inverse(X0))),
    inference(demodulation,[status(thm)],[c_84187,c_82105,c_82108,c_82113]) ).

cnf(c_84228,plain,
    multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,a2))) = multiply(inverse(a2),b2),
    inference(superposition,[status(thm)],[c_84152,c_82116]) ).

cnf(c_84229,plain,
    multiply(multiply(a2,inverse(multiply(sP0_iProver_def,a2))),inverse(b2)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_84152,c_82016]) ).

cnf(c_84230,plain,
    multiply(multiply(a2,inverse(multiply(sP0_iProver_def,a2))),sP0_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_84229,c_60]) ).

cnf(c_84340,plain,
    multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(inverse(multiply(sP1_iProver_def,multiply(sP1_iProver_def,multiply(sP0_iProver_def,inverse(multiply(multiply(X0,inverse(inverse(multiply(multiply(X1,inverse(X2)),sP0_iProver_def)))),sP0_iProver_def)))))),b2)),X0))),X2) = X1,
    inference(light_normalisation,[status(thm)],[c_585,c_29563,c_64636,c_81327,c_82041,c_83768]) ).

cnf(c_84341,plain,
    multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),multiply(multiply(X1,inverse(X2)),sP0_iProver_def)),b2)),X0))),X2) = X1,
    inference(demodulation,[status(thm)],[c_84340,c_83323,c_83666]) ).

cnf(c_84356,plain,
    multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),multiply(sP1_iProver_def,sP0_iProver_def)),b2)),X0))),sP2_iProver_def) = a2,
    inference(superposition,[status(thm)],[c_82560,c_84341]) ).

cnf(c_84359,plain,
    multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),multiply(sP1_iProver_def,sP0_iProver_def)),b2)),X0))),multiply(sP1_iProver_def,X1)) = X1,
    inference(superposition,[status(thm)],[c_83472,c_84341]) ).

cnf(c_84366,plain,
    multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),multiply(multiply(X1,sP0_iProver_def),sP0_iProver_def)),b2)),X0))),b2) = X1,
    inference(superposition,[status(thm)],[c_60,c_84341]) ).

cnf(c_84383,plain,
    multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),multiply(sP0_iProver_def,sP1_iProver_def)),b2)),X0))),sP2_iProver_def) = a2,
    inference(light_normalisation,[status(thm)],[c_84356,c_81999]) ).

cnf(c_84390,plain,
    multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),multiply(sP0_iProver_def,sP1_iProver_def)),b2)),X0))),multiply(sP1_iProver_def,X1)) = X1,
    inference(light_normalisation,[status(thm)],[c_84359,c_81999]) ).

cnf(c_84893,plain,
    multiply(multiply(X0,b2),sP0_iProver_def) = X0,
    inference(light_normalisation,[status(thm)],[c_82075,c_82105]) ).

cnf(c_84899,plain,
    inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),multiply(multiply(X1,sP0_iProver_def),sP0_iProver_def)),b2)),X0))) = multiply(X1,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_84366,c_84893]) ).

cnf(c_84906,plain,
    multiply(sP1_iProver_def,multiply(X0,b2)) = multiply(b2,X0),
    inference(superposition,[status(thm)],[c_84893,c_83546]) ).

cnf(c_84914,plain,
    multiply(multiply(X0,sP0_iProver_def),b2) = X0,
    inference(demodulation,[status(thm)],[c_84366,c_84899]) ).

cnf(c_84927,plain,
    multiply(multiply(sP0_iProver_def,a2),b2) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_83540,c_84914]) ).

cnf(c_84928,plain,
    multiply(a2,inverse(multiply(sP0_iProver_def,a2))) = multiply(sP1_iProver_def,b2),
    inference(superposition,[status(thm)],[c_84230,c_84914]) ).

cnf(c_84935,plain,
    multiply(sP1_iProver_def,multiply(X0,sP0_iProver_def)) = multiply(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_84914,c_82113]) ).

cnf(c_84940,plain,
    multiply(a2,inverse(multiply(sP0_iProver_def,a2))) = b2,
    inference(light_normalisation,[status(thm)],[c_84928,c_83250]) ).

cnf(c_84953,plain,
    multiply(sP1_iProver_def,multiply(sP0_iProver_def,a2)) = multiply(sP0_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_84927,c_82113]) ).

cnf(c_84958,plain,
    multiply(inverse(inverse(multiply(sP0_iProver_def,a2))),b2) = multiply(sP1_iProver_def,a2),
    inference(superposition,[status(thm)],[c_84940,c_82116]) ).

cnf(c_84962,plain,
    multiply(inverse(inverse(multiply(sP0_iProver_def,a2))),b2) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_84958,c_62]) ).

cnf(c_85019,plain,
    multiply(b2,multiply(sP0_iProver_def,sP2_iProver_def)) = multiply(sP1_iProver_def,inverse(inverse(a2))),
    inference(superposition,[status(thm)],[c_84953,c_84188]) ).

cnf(c_85020,plain,
    multiply(b2,multiply(sP0_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_85019,c_62,c_84155]) ).

cnf(c_85022,plain,
    multiply(inverse(multiply(sP0_iProver_def,sP2_iProver_def)),sP2_iProver_def) = multiply(sP1_iProver_def,b2),
    inference(superposition,[status(thm)],[c_85020,c_82116]) ).

cnf(c_85023,plain,
    multiply(multiply(multiply(sP0_iProver_def,sP2_iProver_def),b2),inverse(sP2_iProver_def)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_85020,c_82016]) ).

cnf(c_85024,plain,
    multiply(inverse(multiply(sP0_iProver_def,sP2_iProver_def)),sP2_iProver_def) = b2,
    inference(light_normalisation,[status(thm)],[c_85022,c_83250]) ).

cnf(c_85090,plain,
    multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,sP2_iProver_def))) = multiply(inverse(sP2_iProver_def),b2),
    inference(superposition,[status(thm)],[c_85024,c_82116]) ).

cnf(c_85091,plain,
    multiply(multiply(sP2_iProver_def,inverse(multiply(sP0_iProver_def,sP2_iProver_def))),inverse(b2)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_85024,c_82016]) ).

cnf(c_85092,plain,
    multiply(multiply(sP2_iProver_def,inverse(multiply(sP0_iProver_def,sP2_iProver_def))),sP0_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_85091,c_60]) ).

cnf(c_85103,plain,
    inverse(inverse(multiply(sP0_iProver_def,a2))) = multiply(sP2_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_84962,c_84893]) ).

cnf(c_85105,plain,
    inverse(inverse(multiply(sP0_iProver_def,a2))) = multiply(sP0_iProver_def,a2),
    inference(light_normalisation,[status(thm)],[c_85103,c_83540]) ).

cnf(c_85131,plain,
    multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),multiply(sP1_iProver_def,sP0_iProver_def)),b2)),X0))),sP2_iProver_def) = multiply(multiply(sP0_iProver_def,sP2_iProver_def),b2),
    inference(superposition,[status(thm)],[c_85023,c_84341]) ).

cnf(c_85135,plain,
    multiply(multiply(sP0_iProver_def,sP2_iProver_def),b2) = a2,
    inference(light_normalisation,[status(thm)],[c_85131,c_81999,c_84383]) ).

cnf(c_85142,plain,
    multiply(a2,sP0_iProver_def) = multiply(sP0_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_85135,c_84893]) ).

cnf(c_85143,plain,
    multiply(sP1_iProver_def,multiply(sP0_iProver_def,sP2_iProver_def)) = multiply(sP0_iProver_def,a2),
    inference(superposition,[status(thm)],[c_85135,c_82113]) ).

cnf(c_86595,plain,
    multiply(sP2_iProver_def,inverse(multiply(sP0_iProver_def,sP2_iProver_def))) = multiply(sP1_iProver_def,b2),
    inference(superposition,[status(thm)],[c_85092,c_84914]) ).

cnf(c_86600,plain,
    multiply(sP2_iProver_def,inverse(multiply(sP0_iProver_def,sP2_iProver_def))) = b2,
    inference(light_normalisation,[status(thm)],[c_86595,c_83250]) ).

cnf(c_86619,plain,
    multiply(inverse(inverse(multiply(sP0_iProver_def,sP2_iProver_def))),b2) = multiply(sP1_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_86600,c_82116]) ).

cnf(c_86627,plain,
    multiply(inverse(inverse(multiply(sP0_iProver_def,sP2_iProver_def))),b2) = a2,
    inference(light_normalisation,[status(thm)],[c_86619,c_84151]) ).

cnf(c_86642,plain,
    inverse(inverse(multiply(sP0_iProver_def,sP2_iProver_def))) = multiply(a2,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_86627,c_84893]) ).

cnf(c_86646,plain,
    inverse(inverse(multiply(sP0_iProver_def,sP2_iProver_def))) = multiply(sP0_iProver_def,sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_86642,c_85142]) ).

cnf(c_86682,plain,
    multiply(sP1_iProver_def,inverse(multiply(sP1_iProver_def,X0))) = inverse(X0),
    inference(demodulation,[status(thm)],[c_83764,c_82105]) ).

cnf(c_86689,plain,
    multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,X0))) = inverse(multiply(X0,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_84935,c_86682]) ).

cnf(c_86694,plain,
    multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,sP2_iProver_def))) = inverse(multiply(sP0_iProver_def,a2)),
    inference(superposition,[status(thm)],[c_84953,c_86682]) ).

cnf(c_86695,plain,
    multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,a2))) = inverse(multiply(sP0_iProver_def,sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_85143,c_86682]) ).

cnf(c_86706,plain,
    multiply(inverse(inverse(X0)),inverse(multiply(sP1_iProver_def,X0))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_86682,c_83753]) ).

cnf(c_86717,plain,
    multiply(inverse(a2),b2) = inverse(multiply(sP0_iProver_def,sP2_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_86695,c_84228]) ).

cnf(c_86718,plain,
    multiply(inverse(sP2_iProver_def),b2) = inverse(multiply(sP0_iProver_def,a2)),
    inference(light_normalisation,[status(thm)],[c_86694,c_85090]) ).

cnf(c_86722,plain,
    inverse(multiply(inverse(a2),b2)) = multiply(sP0_iProver_def,sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_86646,c_86717]) ).

cnf(c_86725,plain,
    multiply(multiply(inverse(a2),b2),sP2_iProver_def) = b2,
    inference(demodulation,[status(thm)],[c_85024,c_86717]) ).

cnf(c_86728,plain,
    inverse(multiply(inverse(sP2_iProver_def),b2)) = multiply(sP0_iProver_def,a2),
    inference(demodulation,[status(thm)],[c_85105,c_86718]) ).

cnf(c_88159,plain,
    multiply(sP1_iProver_def,multiply(inverse(a2),b2)) = multiply(inverse(sP2_iProver_def),b2),
    inference(superposition,[status(thm)],[c_86725,c_82116]) ).

cnf(c_88631,plain,
    multiply(inverse(inverse(multiply(sP1_iProver_def,X0))),sP1_iProver_def) = multiply(sP1_iProver_def,inverse(inverse(X0))),
    inference(superposition,[status(thm)],[c_86706,c_82116]) ).

cnf(c_88639,plain,
    multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),multiply(sP1_iProver_def,sP0_iProver_def)),b2)),X0))),multiply(sP1_iProver_def,X1)) = inverse(inverse(X1)),
    inference(superposition,[status(thm)],[c_86706,c_84341]) ).

cnf(c_88659,plain,
    multiply(sP1_iProver_def,inverse(inverse(X0))) = multiply(sP1_iProver_def,X0),
    inference(light_normalisation,[status(thm)],[c_88631,c_83561]) ).

cnf(c_88665,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_88639,c_81999,c_84390]) ).

cnf(c_88701,plain,
    inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(X0,b2)),multiply(X0,inverse(multiply(multiply(X1,inverse(inverse(X2))),sP0_iProver_def)))))) = multiply(inverse(multiply(sP1_iProver_def,multiply(sP1_iProver_def,multiply(sP0_iProver_def,inverse(multiply(X1,sP0_iProver_def)))))),X2),
    inference(light_normalisation,[status(thm)],[c_594,c_64636,c_82041,c_83768]) ).

cnf(c_88702,plain,
    inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(X0,b2)),multiply(X0,inverse(multiply(multiply(X1,X2),sP0_iProver_def)))))) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X1,sP0_iProver_def)))),X2),
    inference(demodulation,[status(thm)],[c_88701,c_82105,c_83666,c_88665]) ).

cnf(c_88738,plain,
    inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(X0,b2)),multiply(X0,inverse(multiply(X1,sP0_iProver_def)))))) = multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X1,sP0_iProver_def)))),sP1_iProver_def),
    inference(superposition,[status(thm)],[c_82105,c_88702]) ).

cnf(c_89079,plain,
    inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(X0,b2)),multiply(X0,inverse(multiply(multiply(X1,b2),sP0_iProver_def)))))) = multiply(inverse(multiply(sP1_iProver_def,multiply(sP1_iProver_def,multiply(sP0_iProver_def,inverse(multiply(X1,sP0_iProver_def)))))),b2),
    inference(light_normalisation,[status(thm)],[c_596,c_64636,c_82041,c_82108,c_83768]) ).

cnf(c_89080,plain,
    multiply(inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),b2) = inverse(multiply(sP0_iProver_def,inverse(X0))),
    inference(demodulation,[status(thm)],[c_89079,c_82105,c_83666,c_84893,c_88738]) ).

cnf(c_89095,plain,
    multiply(inverse(multiply(sP0_iProver_def,inverse(X0))),sP0_iProver_def) = inverse(multiply(sP0_iProver_def,inverse(multiply(X0,sP0_iProver_def)))),
    inference(superposition,[status(thm)],[c_89080,c_84893]) ).

cnf(c_89183,plain,
    multiply(inverse(sP2_iProver_def),b2) = multiply(b2,inverse(a2)),
    inference(demodulation,[status(thm)],[c_88159,c_84906]) ).

cnf(c_89186,plain,
    inverse(multiply(b2,inverse(a2))) = multiply(sP0_iProver_def,a2),
    inference(demodulation,[status(thm)],[c_86728,c_89183]) ).

cnf(c_89187,plain,
    multiply(b2,inverse(a2)) = inverse(multiply(sP0_iProver_def,a2)),
    inference(demodulation,[status(thm)],[c_86718,c_89183]) ).

cnf(c_89193,plain,
    multiply(sP1_iProver_def,multiply(b2,inverse(a2))) = multiply(b2,inverse(sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_89183,c_84906]) ).

cnf(c_89285,plain,
    multiply(sP1_iProver_def,multiply(b2,inverse(a2))) = inverse(multiply(a2,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_89187,c_86689]) ).

cnf(c_89287,plain,
    multiply(inverse(a2),b2) = multiply(b2,inverse(sP2_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_89285,c_85142,c_86717,c_89193]) ).

cnf(c_89290,plain,
    inverse(multiply(b2,inverse(sP2_iProver_def))) = multiply(sP0_iProver_def,sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_86722,c_89287]) ).

cnf(c_89322,plain,
    multiply(multiply(b2,inverse(sP2_iProver_def)),sP0_iProver_def) = inverse(a2),
    inference(superposition,[status(thm)],[c_89287,c_84893]) ).

cnf(c_89335,plain,
    multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(X0,b2)),multiply(X0,inverse(multiply(multiply(X1,inverse(inverse(multiply(multiply(X2,inverse(X3)),sP0_iProver_def)))),sP0_iProver_def)))))),b2)),X1))),X3) = X2,
    inference(light_normalisation,[status(thm)],[c_599,c_64636,c_82041,c_83768]) ).

cnf(c_89336,plain,
    multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(multiply(multiply(sP1_iProver_def,X0),multiply(multiply(X1,inverse(X2)),sP0_iProver_def)),b2)),X0))),X2) = X1,
    inference(demodulation,[status(thm)],[c_89335,c_82107,c_82113,c_83323,c_88659,c_88738,c_89095]) ).

cnf(c_89342,plain,
    multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(multiply(sP2_iProver_def,multiply(multiply(X0,inverse(X1)),sP0_iProver_def)),b2)),a2))),X1) = X0,
    inference(superposition,[status(thm)],[c_62,c_89336]) ).

cnf(c_89823,plain,
    inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(multiply(sP2_iProver_def,multiply(multiply(X0,inverse(sP1_iProver_def)),sP0_iProver_def)),b2)),a2))) = X0,
    inference(superposition,[status(thm)],[c_89342,c_82105]) ).

cnf(c_89826,plain,
    inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(multiply(sP2_iProver_def,multiply(X0,sP0_iProver_def)),b2)),a2))) = X0,
    inference(light_normalisation,[status(thm)],[c_89823,c_82013]) ).

cnf(c_89840,plain,
    multiply(multiply(X0,inverse(X1)),X1) = X0,
    inference(demodulation,[status(thm)],[c_89342,c_89826]) ).

cnf(c_90410,plain,
    multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(superposition,[status(thm)],[c_88665,c_89840]) ).

cnf(c_90419,plain,
    multiply(X0,inverse(inverse(X1))) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_89840,c_89840]) ).

cnf(c_90498,plain,
    multiply(sP1_iProver_def,inverse(inverse(a2))) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_82547,c_90410]) ).

cnf(c_90520,plain,
    multiply(sP1_iProver_def,inverse(X0)) = inverse(multiply(sP1_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_83753,c_90410]) ).

cnf(c_90711,plain,
    multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(X0),multiply(inverse(multiply(sP1_iProver_def,multiply(inverse(multiply(X1,b2)),multiply(X1,inverse(multiply(multiply(X0,sP0_iProver_def),sP0_iProver_def)))))),inverse(multiply(multiply(X2,inverse(X3)),sP0_iProver_def)))))),X3) = X2,
    inference(light_normalisation,[status(thm)],[c_601,c_64636,c_82041,c_83768]) ).

cnf(c_90712,plain,
    multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(X0),multiply(multiply(sP0_iProver_def,X0),inverse(multiply(multiply(X1,inverse(X2)),sP0_iProver_def)))))),X2) = X1,
    inference(demodulation,[status(thm)],[c_90711,c_81371,c_82009,c_82105,c_82107,c_88738,c_89095,c_90419,c_90520]) ).

cnf(c_90728,plain,
    multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(b2),multiply(sP1_iProver_def,inverse(multiply(multiply(X0,inverse(X1)),sP0_iProver_def)))))),X1) = X0,
    inference(superposition,[status(thm)],[c_61,c_90712]) ).

cnf(c_90775,plain,
    multiply(multiply(sP1_iProver_def,inverse(multiply(sP0_iProver_def,multiply(sP1_iProver_def,inverse(multiply(multiply(X0,inverse(X1)),sP0_iProver_def)))))),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_90728,c_60]) ).

cnf(c_91287,plain,
    multiply(inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(multiply(X0,inverse(X1)),sP0_iProver_def))),sP0_iProver_def)),X1) = X0,
    inference(demodulation,[status(thm)],[c_90775,c_86689]) ).

cnf(c_91291,plain,
    multiply(inverse(multiply(multiply(sP1_iProver_def,inverse(inverse(a2))),sP0_iProver_def)),sP2_iProver_def) = b2,
    inference(superposition,[status(thm)],[c_89322,c_91287]) ).

cnf(c_91324,plain,
    multiply(multiply(b2,inverse(a2)),sP2_iProver_def) = b2,
    inference(light_normalisation,[status(thm)],[c_91291,c_83540,c_89187,c_90498]) ).

cnf(c_91463,plain,
    multiply(b2,inverse(a2)) = multiply(b2,inverse(sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_91324,c_90410]) ).

cnf(c_91473,plain,
    inverse(multiply(b2,inverse(sP2_iProver_def))) = multiply(sP0_iProver_def,a2),
    inference(demodulation,[status(thm)],[c_89186,c_91463]) ).

cnf(c_91476,plain,
    multiply(sP0_iProver_def,a2) = multiply(sP0_iProver_def,sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_91473,c_89290]) ).

cnf(c_91479,plain,
    multiply(b2,multiply(sP0_iProver_def,sP2_iProver_def)) = a2,
    inference(demodulation,[status(thm)],[c_84154,c_91476]) ).

cnf(c_91481,plain,
    a2 = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_91479,c_85020]) ).

cnf(c_91494,plain,
    sP2_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_63,c_91481]) ).

cnf(c_91495,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_91494]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP506-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 23:54:50 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.46  Running UEQ theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 58.70/8.14  % SZS status Started for theBenchmark.p
% 58.70/8.14  % SZS status Unsatisfiable for theBenchmark.p
% 58.70/8.14  
% 58.70/8.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 58.70/8.14  
% 58.70/8.14  ------  iProver source info
% 58.70/8.14  
% 58.70/8.14  git: date: 2024-05-02 19:28:25 +0000
% 58.70/8.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 58.70/8.14  git: non_committed_changes: false
% 58.70/8.14  
% 58.70/8.14  ------ Parsing...successful
% 58.70/8.14  
% 58.70/8.14  
% 58.70/8.14  
% 58.70/8.14  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 58.70/8.14  
% 58.70/8.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 58.70/8.14  
% 58.70/8.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 58.70/8.14  ------ Proving...
% 58.70/8.14  ------ Problem Properties 
% 58.70/8.14  
% 58.70/8.14  
% 58.70/8.14  clauses                                 5
% 58.70/8.14  conjectures                             1
% 58.70/8.14  EPR                                     1
% 58.70/8.14  Horn                                    5
% 58.70/8.14  unary                                   5
% 58.70/8.14  binary                                  0
% 58.70/8.14  lits                                    5
% 58.70/8.14  lits eq                                 5
% 58.70/8.14  fd_pure                                 0
% 58.70/8.14  fd_pseudo                               0
% 58.70/8.14  fd_cond                                 0
% 58.70/8.14  fd_pseudo_cond                          0
% 58.70/8.14  AC symbols                              0
% 58.70/8.14  
% 58.70/8.14  ------ Input Options Time Limit: Unbounded
% 58.70/8.14  
% 58.70/8.14  
% 58.70/8.14  ------ 
% 58.70/8.14  Current options:
% 58.70/8.14  ------ 
% 58.70/8.14  
% 58.70/8.14  
% 58.70/8.14  
% 58.70/8.14  
% 58.70/8.14  ------ Proving...
% 58.70/8.14  
% 58.70/8.14  
% 58.70/8.14  % SZS status Unsatisfiable for theBenchmark.p
% 58.70/8.14  
% 58.70/8.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 58.70/8.15  
% 58.70/8.16  
%------------------------------------------------------------------------------