TSTP Solution File: GRP050-1 by iProver---3.9

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP050-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:19:55 EDT 2024

% Result   : Unsatisfiable 25.02s 4.18s
% Output   : CNFRefutation 25.02s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

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

cnf(c_50,negated_conjecture,
    ( multiply(multiply(inverse(b2),b2),a2) != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).

cnf(c_98,plain,
    multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X1)),multiply(inverse(X3),multiply(inverse(X3),X3))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X1)),multiply(inverse(X3),multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X1)),multiply(inverse(X3),multiply(inverse(X3),X3))))))))) = X2,
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_101,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X4)),X1)),multiply(inverse(X4),multiply(inverse(X4),X4)))),
    inference(superposition,[status(thm)],[c_49,c_98]) ).

cnf(c_117,plain,
    inverse(multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3)))))))) = multiply(X4,inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X2)),multiply(inverse(X5),multiply(inverse(X5),X5))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X2)),multiply(inverse(X5),multiply(inverse(X5),X5))))),inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),X2)),multiply(inverse(X5),multiply(inverse(X5),X5))))))))),
    inference(superposition,[status(thm)],[c_98,c_98]) ).

cnf(c_120,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1)))) = sP0_iProver_def(X0,X2),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_101]) ).

cnf(c_123,plain,
    inverse(multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3)))))))) = sP1_iProver_def(X1,X2),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_117]) ).

cnf(c_129,plain,
    inverse(multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3)))))))) = sP0_iProver_def(X2,X1),
    inference(superposition,[status(thm)],[c_49,c_120]) ).

cnf(c_149,plain,
    sP0_iProver_def(X0,X1) = sP1_iProver_def(X1,X0),
    inference(demodulation,[status(thm)],[c_129,c_123]) ).

cnf(c_185,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_193,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X4)),X1)),multiply(inverse(X4),multiply(inverse(X4),X4)))),
    inference(superposition,[status(thm)],[c_49,c_185]) ).

cnf(c_205,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),inverse(multiply(inverse(X4),multiply(inverse(multiply(inverse(X2),multiply(inverse(X2),X2))),multiply(inverse(multiply(inverse(X2),multiply(inverse(X2),X2))),multiply(inverse(X2),multiply(inverse(X2),X2))))))) = inverse(multiply(inverse(multiply(inverse(multiply(multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),X5)),X4)),multiply(inverse(X5),multiply(inverse(X5),X5)))),
    inference(superposition,[status(thm)],[c_185,c_185]) ).

cnf(c_208,plain,
    multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),multiply(inverse(X3),multiply(inverse(X3),X3))))) = multiply(inverse(X2),multiply(inverse(X2),X2)),
    inference(superposition,[status(thm)],[c_185,c_49]) ).

cnf(c_211,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = X2,
    inference(superposition,[status(thm)],[c_185,c_49]) ).

cnf(c_212,plain,
    multiply(inverse(multiply(X0,X1)),inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X2),X2))),multiply(inverse(X2),multiply(inverse(X2),X2))))) = inverse(multiply(multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),multiply(inverse(X3),multiply(inverse(X3),X3)))),
    inference(superposition,[status(thm)],[c_185,c_185]) ).

cnf(c_220,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3))))),X3)),X4)),X2)),multiply(inverse(X4),multiply(inverse(X4),X4)))))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3)))))),X5)),X1)),multiply(inverse(X5),multiply(inverse(X5),X5)))),
    inference(superposition,[status(thm)],[c_185,c_185]) ).

cnf(c_225,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),X3)),multiply(inverse(X4),multiply(inverse(X4),X4)))),
    inference(superposition,[status(thm)],[c_185,c_185]) ).

cnf(c_226,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = sP2_iProver_def(X0,X1,X3),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_225]) ).

cnf(c_229,plain,
    multiply(inverse(multiply(X0,X1)),inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X2),X2))),multiply(inverse(X2),multiply(inverse(X2),X2))))) = sP3_iProver_def(X0,X1),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_212]) ).

cnf(c_230,plain,
    inverse(multiply(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2))))),multiply(inverse(X1),multiply(inverse(X1),X1)))) = sP3_iProver_def(X0,X2),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_212]) ).

cnf(c_232,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2))))),X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3)))) = sP4_iProver_def(X0,X1,X2,X4),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_205]) ).

cnf(c_235,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))))))) = sP0_iProver_def(X3,X1),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_193]) ).

cnf(c_237,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))))))) = sP1_iProver_def(X1,X3),
    inference(demodulation,[status(thm)],[c_235,c_149]) ).

cnf(c_238,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2)))))),X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3)))) = sP5_iProver_def(X0,X1,X2,X4),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_220]) ).

cnf(c_242,plain,
    multiply(inverse(X0),multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3)))))))))) = X2,
    inference(superposition,[status(thm)],[c_49,c_211]) ).

cnf(c_247,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(X4),multiply(inverse(X4),X4))))),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X4)),X5)),X3)),multiply(inverse(X5),multiply(inverse(X5),X5))),
    inference(superposition,[status(thm)],[c_185,c_211]) ).

cnf(c_256,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))) = sP6_iProver_def(X0,X1,X3),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_247]) ).

cnf(c_259,plain,
    multiply(inverse(X0),sP1_iProver_def(X1,X0)) = X1,
    inference(demodulation,[status(thm)],[c_242,c_237]) ).

cnf(c_278,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2))))) = sP1_iProver_def(X1,multiply(X0,X2)),
    inference(superposition,[status(thm)],[c_259,c_49]) ).

cnf(c_324,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = sP1_iProver_def(X3,multiply(X0,X1)),
    inference(superposition,[status(thm)],[c_278,c_185]) ).

cnf(c_326,plain,
    sP1_iProver_def(X0,multiply(X1,X2)) = sP2_iProver_def(X1,X2,X0),
    inference(demodulation,[status(thm)],[c_324,c_226]) ).

cnf(c_624,plain,
    multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),sP3_iProver_def(X0,X1)) = multiply(inverse(X2),multiply(inverse(X2),X2)),
    inference(demodulation,[status(thm)],[c_208,c_230]) ).

cnf(c_671,plain,
    multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),sP3_iProver_def(X0,X1)) = multiply(inverse(multiply(inverse(multiply(X3,X4)),X2)),sP3_iProver_def(X3,X4)),
    inference(superposition,[status(thm)],[c_624,c_624]) ).

cnf(c_684,plain,
    multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),sP3_iProver_def(X0,X1)) = sP8_iProver_def(X2),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_671]) ).

cnf(c_2639,plain,
    multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X1)),multiply(inverse(X3),multiply(inverse(X3),X3))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X1)),multiply(inverse(X3),multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X1)),multiply(inverse(X3),multiply(inverse(X3),X3))))))))) = X2,
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_2641,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_2642,plain,
    sP2_iProver_def(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1)))),X3) = sP1_iProver_def(X3,X2),
    inference(superposition,[status(thm)],[c_49,c_326]) ).

cnf(c_2652,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X4)),X1)),multiply(inverse(X4),multiply(inverse(X4),X4)))),
    inference(superposition,[status(thm)],[c_49,c_2641]) ).

cnf(c_2664,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),inverse(multiply(inverse(X4),multiply(inverse(multiply(inverse(X2),multiply(inverse(X2),X2))),multiply(inverse(multiply(inverse(X2),multiply(inverse(X2),X2))),multiply(inverse(X2),multiply(inverse(X2),X2))))))) = inverse(multiply(inverse(multiply(inverse(multiply(multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),X5)),X4)),multiply(inverse(X5),multiply(inverse(X5),X5)))),
    inference(superposition,[status(thm)],[c_2641,c_2641]) ).

cnf(c_2669,plain,
    multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),multiply(inverse(X3),multiply(inverse(X3),X3))))) = multiply(inverse(X2),multiply(inverse(X2),X2)),
    inference(superposition,[status(thm)],[c_2641,c_49]) ).

cnf(c_2674,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = X2,
    inference(superposition,[status(thm)],[c_2641,c_49]) ).

cnf(c_2675,plain,
    multiply(inverse(multiply(X0,X1)),inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X2),X2))),multiply(inverse(X2),multiply(inverse(X2),X2))))) = inverse(multiply(multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),multiply(inverse(X3),multiply(inverse(X3),X3)))),
    inference(superposition,[status(thm)],[c_2641,c_2641]) ).

cnf(c_2682,plain,
    inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3))))),X5)),multiply(inverse(inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(inverse(X2),X2))))),multiply(inverse(inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(inverse(X2),X2))))),inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(inverse(X2),X2)))))))) = multiply(X0,inverse(multiply(inverse(X5),multiply(inverse(X1),multiply(inverse(X1),X1))))),
    inference(superposition,[status(thm)],[c_2641,c_2641]) ).

cnf(c_2684,plain,
    multiply(X0,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3))))),multiply(inverse(X1),multiply(inverse(X1),X1))))) = inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(inverse(X2),X2)))),
    inference(superposition,[status(thm)],[c_2641,c_49]) ).

cnf(c_2685,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3))))),X3)),X4)),X2)),multiply(inverse(X4),multiply(inverse(X4),X4)))))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3)))))),X5)),X1)),multiply(inverse(X5),multiply(inverse(X5),X5)))),
    inference(superposition,[status(thm)],[c_2641,c_2641]) ).

cnf(c_2696,plain,
    inverse(multiply(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2))))),multiply(inverse(X1),multiply(inverse(X1),X1)))) = sP3_iProver_def(X0,X2),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2675]) ).

cnf(c_2698,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),inverse(multiply(inverse(X4),multiply(inverse(multiply(inverse(X2),multiply(inverse(X2),X2))),multiply(inverse(multiply(inverse(X2),multiply(inverse(X2),X2))),multiply(inverse(X2),multiply(inverse(X2),X2))))))) = sP4_iProver_def(X0,X3,X1,X4),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2664]) ).

cnf(c_2700,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))))))) = sP0_iProver_def(X3,X1),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2652]) ).

cnf(c_2701,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1)))) = sP1_iProver_def(X2,X0),
    inference(demodulation,[status(thm)],[c_120,c_149]) ).

cnf(c_2702,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))))))) = sP1_iProver_def(X1,X3),
    inference(demodulation,[status(thm)],[c_2700,c_149]) ).

cnf(c_2703,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3))))),X3)),X4)),X2)),multiply(inverse(X4),multiply(inverse(X4),X4)))))))) = sP5_iProver_def(X0,X2,X3,X1),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2685]) ).

cnf(c_2706,plain,
    multiply(inverse(X0),multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3))))),inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X0)),multiply(inverse(X3),multiply(inverse(X3),X3)))))))))) = X2,
    inference(superposition,[status(thm)],[c_49,c_2674]) ).

cnf(c_2710,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(X4),multiply(inverse(X4),X4))))))) = multiply(inverse(multiply(inverse(multiply(X2,X4)),X1)),X3),
    inference(superposition,[status(thm)],[c_2641,c_2674]) ).

cnf(c_2711,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(X4),multiply(inverse(X4),X4))))),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X4)),X5)),X3)),multiply(inverse(X5),multiply(inverse(X5),X5))),
    inference(superposition,[status(thm)],[c_2641,c_2674]) ).

cnf(c_2714,plain,
    multiply(inverse(multiply(X0,multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3))))),multiply(X0,inverse(multiply(inverse(X5),multiply(multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(inverse(X2),X2))))),multiply(multiply(X1,inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(inverse(X2),X2))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3))))))))) = X5,
    inference(superposition,[status(thm)],[c_2641,c_2674]) ).

cnf(c_2723,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(X4),multiply(inverse(X4),X4))))),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = sP6_iProver_def(X2,X4,X3),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2711]) ).

cnf(c_2725,plain,
    multiply(inverse(X0),sP1_iProver_def(X1,X0)) = X1,
    inference(demodulation,[status(thm)],[c_2706,c_2702]) ).

cnf(c_2730,plain,
    multiply(inverse(multiply(X0,X1)),sP2_iProver_def(X0,X1,X2)) = X2,
    inference(superposition,[status(thm)],[c_326,c_2725]) ).

cnf(c_2736,plain,
    sP2_iProver_def(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2)))),X3) = sP1_iProver_def(X3,sP1_iProver_def(X1,multiply(X0,X2))),
    inference(superposition,[status(thm)],[c_2725,c_2642]) ).

cnf(c_2737,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2))))) = sP1_iProver_def(X1,multiply(X0,X2)),
    inference(superposition,[status(thm)],[c_2725,c_49]) ).

cnf(c_2739,plain,
    sP2_iProver_def(inverse(X0),sP1_iProver_def(X1,X0),X2) = sP1_iProver_def(X2,X1),
    inference(superposition,[status(thm)],[c_2725,c_326]) ).

cnf(c_2740,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2))))) = sP2_iProver_def(X0,X2,X1),
    inference(demodulation,[status(thm)],[c_2737,c_326]) ).

cnf(c_2741,plain,
    sP2_iProver_def(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2)))),X3) = sP1_iProver_def(X3,sP2_iProver_def(X0,X2,X1)),
    inference(demodulation,[status(thm)],[c_2736,c_326]) ).

cnf(c_2746,plain,
    sP2_iProver_def(inverse(multiply(X0,X1)),X2,multiply(inverse(X2),multiply(inverse(X2),X2))) = sP3_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_229,c_2740]) ).

cnf(c_2748,plain,
    sP2_iProver_def(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2))))),X3,multiply(inverse(X3),multiply(inverse(X3),X3))) = sP3_iProver_def(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X4)),X1)),multiply(inverse(X4),multiply(inverse(X4),X4))),
    inference(superposition,[status(thm)],[c_2641,c_2746]) ).

cnf(c_2749,plain,
    sP3_iProver_def(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))))) = sP2_iProver_def(inverse(X2),X3,multiply(inverse(X3),multiply(inverse(X3),X3))),
    inference(superposition,[status(thm)],[c_49,c_2746]) ).

cnf(c_2758,plain,
    sP3_iProver_def(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))) = sP2_iProver_def(sP2_iProver_def(X0,X1,X3),X4,multiply(inverse(X4),multiply(inverse(X4),X4))),
    inference(demodulation,[status(thm)],[c_2748,c_2740]) ).

cnf(c_2765,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(sP2_iProver_def(X0,X1,X2),X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3)))) = sP4_iProver_def(X0,X2,X1,X4),
    inference(demodulation,[status(thm)],[c_232,c_2740]) ).

cnf(c_2768,plain,
    sP4_iProver_def(X0,X1,X2,sP1_iProver_def(X3,multiply(sP2_iProver_def(X0,X2,X1),X4))) = inverse(multiply(inverse(X3),multiply(inverse(X4),multiply(inverse(X4),X4)))),
    inference(superposition,[status(thm)],[c_2725,c_2765]) ).

cnf(c_2772,plain,
    sP4_iProver_def(X0,X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))),X4) = inverse(multiply(inverse(multiply(inverse(multiply(sP1_iProver_def(X1,X3),X5)),X4)),multiply(inverse(X5),multiply(inverse(X5),X5)))),
    inference(superposition,[status(thm)],[c_2642,c_2765]) ).

cnf(c_2779,plain,
    sP3_iProver_def(inverse(multiply(inverse(multiply(sP2_iProver_def(X0,X1,X2),X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3))) = sP2_iProver_def(sP4_iProver_def(X0,X2,X1,X4),X5,multiply(inverse(X5),multiply(inverse(X5),X5))),
    inference(superposition,[status(thm)],[c_2765,c_2746]) ).

cnf(c_2791,plain,
    sP2_iProver_def(sP2_iProver_def(X0,X1,X2),sP4_iProver_def(X0,X2,X1,X3),X4) = sP1_iProver_def(X4,X3),
    inference(superposition,[status(thm)],[c_2765,c_2642]) ).

cnf(c_2792,plain,
    multiply(sP2_iProver_def(X0,X1,X2),sP4_iProver_def(X0,X2,X1,X3)) = X3,
    inference(superposition,[status(thm)],[c_2765,c_49]) ).

cnf(c_2795,plain,
    sP2_iProver_def(inverse(multiply(X0,X1)),multiply(inverse(multiply(inverse(multiply(sP2_iProver_def(X2,X3,X4),X5)),X6)),multiply(inverse(X5),multiply(inverse(X5),X5))),multiply(sP4_iProver_def(X2,X4,X3,X6),multiply(sP4_iProver_def(X2,X4,X3,X6),multiply(inverse(multiply(inverse(multiply(sP2_iProver_def(X2,X3,X4),X5)),X6)),multiply(inverse(X5),multiply(inverse(X5),X5)))))) = sP3_iProver_def(X0,X1),
    inference(superposition,[status(thm)],[c_2765,c_2746]) ).

cnf(c_2796,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(sP4_iProver_def(X2,X3,X4,X5),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = multiply(inverse(multiply(inverse(multiply(sP2_iProver_def(X2,X4,X3),X6)),X5)),multiply(inverse(X6),multiply(inverse(X6),X6))),
    inference(superposition,[status(thm)],[c_2765,c_2674]) ).

cnf(c_2798,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(sP2_iProver_def(X0,X1,X2),multiply(inverse(multiply(inverse(multiply(sP2_iProver_def(X3,X4,X5),X6)),X7)),multiply(inverse(X6),multiply(inverse(X6),X6))))),X8)),multiply(sP4_iProver_def(X3,X5,X4,X7),multiply(sP4_iProver_def(X3,X5,X4,X7),multiply(inverse(multiply(inverse(multiply(sP2_iProver_def(X3,X4,X5),X6)),X7)),multiply(inverse(X6),multiply(inverse(X6),X6))))))) = sP4_iProver_def(X0,X2,X1,X8),
    inference(superposition,[status(thm)],[c_2765,c_2765]) ).

cnf(c_2802,plain,
    sP4_iProver_def(X0,X1,X2,sP2_iProver_def(sP2_iProver_def(X0,X2,X1),X3,X4)) = inverse(multiply(inverse(X4),multiply(inverse(X3),multiply(inverse(X3),X3)))),
    inference(demodulation,[status(thm)],[c_2768,c_326]) ).

cnf(c_2809,plain,
    multiply(inverse(multiply(inverse(multiply(sP2_iProver_def(X0,X1,X2),X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3))) = sP11_iProver_def(X0,X1,X2,X4),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_2796]) ).

cnf(c_2825,plain,
    sP1_iProver_def(X0,sP2_iProver_def(X1,X2,X3)) = sP5_iProver_def(X1,X3,X2,X0),
    inference(demodulation,[status(thm)],[c_238,c_226,c_2741]) ).

cnf(c_2848,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(X0),X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))) = sP6_iProver_def(inverse(X3),sP1_iProver_def(X0,X3),X2),
    inference(superposition,[status(thm)],[c_2725,c_256]) ).

cnf(c_2858,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),inverse(multiply(inverse(X4),multiply(inverse(multiply(inverse(X2),multiply(inverse(X2),X2))),multiply(inverse(multiply(inverse(X2),multiply(inverse(X2),X2))),multiply(inverse(X2),multiply(inverse(X2),X2))))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(sP6_iProver_def(X0,X1,X3)),X5)),X4)),multiply(inverse(X5),multiply(inverse(X5),X5)))),
    inference(superposition,[status(thm)],[c_256,c_2641]) ).

cnf(c_2867,plain,
    multiply(inverse(sP6_iProver_def(X0,X1,X2)),multiply(inverse(X2),multiply(inverse(X2),X2))) = sP6_iProver_def(inverse(multiply(X0,X1)),X3,multiply(inverse(X3),multiply(inverse(X3),X3))),
    inference(superposition,[status(thm)],[c_256,c_256]) ).

cnf(c_2869,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2))))) = inverse(sP6_iProver_def(X0,X2,X1)),
    inference(superposition,[status(thm)],[c_256,c_2641]) ).

cnf(c_2870,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(multiply(inverse(multiply(X3,X4)),X1)),X5))),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(X0,inverse(sP6_iProver_def(X3,X4,X5))),
    inference(superposition,[status(thm)],[c_256,c_2641]) ).

cnf(c_2872,plain,
    sP2_iProver_def(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)),X4) = sP1_iProver_def(X4,sP6_iProver_def(X0,X1,X3)),
    inference(superposition,[status(thm)],[c_256,c_326]) ).

cnf(c_2873,plain,
    inverse(sP6_iProver_def(X0,X1,X2)) = sP2_iProver_def(X0,X1,X2),
    inference(demodulation,[status(thm)],[c_2869,c_2740]) ).

cnf(c_2879,plain,
    sP2_iProver_def(X0,X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),X4)) = multiply(X0,inverse(sP6_iProver_def(X2,X3,X4))),
    inference(demodulation,[status(thm)],[c_2870,c_226]) ).

cnf(c_2893,plain,
    sP1_iProver_def(X0,sP6_iProver_def(X1,X2,X3)) = sP4_iProver_def(X1,X3,X2,X0),
    inference(demodulation,[status(thm)],[c_2858,c_2698,c_2701]) ).

cnf(c_2901,plain,
    sP1_iProver_def(multiply(inverse(X0),X1),X0) = X1,
    inference(demodulation,[status(thm)],[c_2639,c_2702]) ).

cnf(c_2908,plain,
    sP1_iProver_def(multiply(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2))))),X3),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X4)),X1)),multiply(inverse(X4),multiply(inverse(X4),X4)))) = X3,
    inference(superposition,[status(thm)],[c_2641,c_2901]) ).

cnf(c_2910,plain,
    sP2_iProver_def(X0,X1,multiply(inverse(multiply(X0,X1)),X2)) = X2,
    inference(superposition,[status(thm)],[c_2901,c_326]) ).

cnf(c_2914,plain,
    sP4_iProver_def(X0,X1,X2,multiply(sP2_iProver_def(X0,X2,X1),X3)) = X3,
    inference(demodulation,[status(thm)],[c_2908,c_326,c_2740,c_2872,c_2893]) ).

cnf(c_2973,plain,
    multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),sP3_iProver_def(X0,X1)) = multiply(inverse(X2),multiply(inverse(X2),X2)),
    inference(demodulation,[status(thm)],[c_2669,c_2696]) ).

cnf(c_2998,plain,
    multiply(inverse(multiply(inverse(X0),multiply(inverse(X0),X0))),multiply(inverse(multiply(inverse(multiply(X1,X2)),X0)),inverse(multiply(inverse(X3),multiply(inverse(sP3_iProver_def(X1,X2)),multiply(inverse(sP3_iProver_def(X1,X2)),sP3_iProver_def(X1,X2))))))) = X3,
    inference(superposition,[status(thm)],[c_2973,c_2674]) ).

cnf(c_3056,plain,
    multiply(inverse(multiply(inverse(X0),multiply(inverse(X0),X0))),sP2_iProver_def(inverse(multiply(inverse(multiply(X1,X2)),X0)),sP3_iProver_def(X1,X2),X3)) = X3,
    inference(demodulation,[status(thm)],[c_2998,c_2740]) ).

cnf(c_3088,plain,
    multiply(inverse(X0),sP3_iProver_def(X1,X2)) = sP8_iProver_def(sP1_iProver_def(X0,multiply(X1,X2))),
    inference(superposition,[status(thm)],[c_2725,c_684]) ).

cnf(c_3121,plain,
    sP1_iProver_def(sP8_iProver_def(X0),multiply(inverse(multiply(X1,X2)),X0)) = sP3_iProver_def(X1,X2),
    inference(superposition,[status(thm)],[c_684,c_2901]) ).

cnf(c_3122,plain,
    sP2_iProver_def(inverse(multiply(inverse(multiply(X0,X1)),X2)),sP3_iProver_def(X0,X1),X3) = sP1_iProver_def(X3,sP8_iProver_def(X2)),
    inference(superposition,[status(thm)],[c_684,c_326]) ).

cnf(c_3123,plain,
    multiply(inverse(X0),multiply(inverse(X0),X0)) = sP8_iProver_def(X0),
    inference(superposition,[status(thm)],[c_684,c_2973]) ).

cnf(c_3124,plain,
    sP2_iProver_def(inverse(multiply(X0,X1)),X2,sP8_iProver_def(X2)) = sP3_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_3121,c_326]) ).

cnf(c_3125,plain,
    multiply(inverse(X0),sP3_iProver_def(X1,X2)) = sP8_iProver_def(sP2_iProver_def(X1,X2,X0)),
    inference(demodulation,[status(thm)],[c_3088,c_326]) ).

cnf(c_3250,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),sP6_iProver_def(X3,X4,X5))),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(X0,inverse(multiply(sP2_iProver_def(X3,X4,X5),multiply(inverse(X1),multiply(inverse(X1),X1))))),
    inference(superposition,[status(thm)],[c_2873,c_2641]) ).

cnf(c_3252,plain,
    multiply(X0,inverse(multiply(sP2_iProver_def(X1,X2,X3),sP8_iProver_def(X4)))) = sP2_iProver_def(X0,X4,sP6_iProver_def(X1,X2,X3)),
    inference(demodulation,[status(thm)],[c_3250,c_226,c_3123]) ).

cnf(c_3257,plain,
    multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(X1),multiply(inverse(X1),X1))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(X1),multiply(inverse(X1),X1))))),X1)),X2)),X0)),multiply(inverse(X2),multiply(inverse(X2),X2))))) = sP8_iProver_def(inverse(multiply(inverse(X0),multiply(inverse(X1),multiply(inverse(X1),X1))))),
    inference(superposition,[status(thm)],[c_2641,c_3123]) ).

cnf(c_3267,plain,
    multiply(inverse(sP8_iProver_def(X0)),multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0))))))) = X1,
    inference(superposition,[status(thm)],[c_3123,c_2674]) ).

cnf(c_3278,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(X0,inverse(multiply(inverse(X3),sP8_iProver_def(X1)))),
    inference(superposition,[status(thm)],[c_3123,c_2641]) ).

cnf(c_3279,plain,
    sP2_iProver_def(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),sP8_iProver_def(X1))),X3) = sP1_iProver_def(X3,X2),
    inference(superposition,[status(thm)],[c_3123,c_2642]) ).

cnf(c_3290,plain,
    multiply(inverse(X0),X0) = sP1_iProver_def(sP8_iProver_def(X0),X0),
    inference(superposition,[status(thm)],[c_3123,c_2901]) ).

cnf(c_3291,plain,
    sP2_iProver_def(inverse(X0),multiply(inverse(X0),X0),X1) = sP1_iProver_def(X1,sP8_iProver_def(X0)),
    inference(superposition,[status(thm)],[c_3123,c_326]) ).

cnf(c_3298,plain,
    multiply(X0,inverse(multiply(inverse(X1),sP8_iProver_def(X2)))) = sP2_iProver_def(X0,X2,X1),
    inference(demodulation,[status(thm)],[c_3278,c_226]) ).

cnf(c_3301,plain,
    multiply(inverse(sP8_iProver_def(X0)),sP2_iProver_def(inverse(X0),multiply(inverse(X0),X0),X1)) = X1,
    inference(demodulation,[status(thm)],[c_3267,c_2740]) ).

cnf(c_3315,plain,
    multiply(inverse(inverse(multiply(inverse(X0),sP8_iProver_def(X1)))),sP2_iProver_def(inverse(inverse(multiply(inverse(X0),sP8_iProver_def(X1)))),X1,X0)) = sP8_iProver_def(inverse(multiply(inverse(X0),sP8_iProver_def(X1)))),
    inference(demodulation,[status(thm)],[c_3257,c_2873,c_2740,c_2879,c_3123]) ).

cnf(c_3322,plain,
    sP1_iProver_def(sP8_iProver_def(sP6_iProver_def(X0,X1,X2)),sP6_iProver_def(X0,X1,X2)) = multiply(sP2_iProver_def(X0,X1,X2),sP6_iProver_def(X0,X1,X2)),
    inference(superposition,[status(thm)],[c_2873,c_3290]) ).

cnf(c_3344,plain,
    multiply(inverse(sP1_iProver_def(sP8_iProver_def(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(multiply(X0,X1)),X2))),multiply(inverse(X2),multiply(inverse(X2),X2))) = sP6_iProver_def(X0,X1,multiply(inverse(multiply(X0,X1)),X2)),
    inference(superposition,[status(thm)],[c_3290,c_256]) ).

cnf(c_3352,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),multiply(inverse(X1),multiply(inverse(X1),X1))))),X1)),X2)),X0)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = sP1_iProver_def(sP8_iProver_def(inverse(multiply(inverse(X0),multiply(inverse(X1),multiply(inverse(X1),X1))))),inverse(multiply(inverse(X0),multiply(inverse(X1),multiply(inverse(X1),X1))))),
    inference(superposition,[status(thm)],[c_3290,c_2641]) ).

cnf(c_3354,plain,
    sP1_iProver_def(sP1_iProver_def(sP8_iProver_def(X0),X0),X0) = X0,
    inference(superposition,[status(thm)],[c_3290,c_2901]) ).

cnf(c_3357,plain,
    sP1_iProver_def(X0,sP1_iProver_def(sP8_iProver_def(X1),X1)) = sP2_iProver_def(inverse(X1),X1,X0),
    inference(superposition,[status(thm)],[c_3290,c_326]) ).

cnf(c_3358,plain,
    inverse(multiply(inverse(sP1_iProver_def(sP8_iProver_def(multiply(sP2_iProver_def(X0,X1,X2),X3)),multiply(sP2_iProver_def(X0,X1,X2),X3))),multiply(inverse(X3),multiply(inverse(X3),X3)))) = sP4_iProver_def(X0,X2,X1,multiply(sP2_iProver_def(X0,X1,X2),X3)),
    inference(superposition,[status(thm)],[c_3290,c_2765]) ).

cnf(c_3367,plain,
    multiply(sP2_iProver_def(X0,X1,X2),sP6_iProver_def(X0,X1,X2)) = sP4_iProver_def(X0,X2,X1,sP8_iProver_def(sP6_iProver_def(X0,X1,X2))),
    inference(demodulation,[status(thm)],[c_3322,c_2893]) ).

cnf(c_3381,plain,
    multiply(inverse(sP2_iProver_def(inverse(multiply(X0,X1)),X2,sP8_iProver_def(multiply(inverse(multiply(X0,X1)),X2)))),sP8_iProver_def(X2)) = sP6_iProver_def(X0,X1,multiply(inverse(multiply(X0,X1)),X2)),
    inference(demodulation,[status(thm)],[c_3344,c_326,c_3123]) ).

cnf(c_3382,plain,
    inverse(multiply(inverse(sP2_iProver_def(sP2_iProver_def(X0,X1,X2),X3,sP8_iProver_def(multiply(sP2_iProver_def(X0,X1,X2),X3)))),sP8_iProver_def(X3))) = X3,
    inference(demodulation,[status(thm)],[c_3358,c_326,c_2914,c_3123]) ).

cnf(c_3391,plain,
    sP1_iProver_def(sP8_iProver_def(inverse(multiply(inverse(X0),sP8_iProver_def(X1)))),inverse(multiply(inverse(X0),sP8_iProver_def(X1)))) = sP2_iProver_def(inverse(inverse(multiply(inverse(X0),sP8_iProver_def(X1)))),X1,X0),
    inference(demodulation,[status(thm)],[c_3352,c_226,c_3123]) ).

cnf(c_3462,plain,
    sP5_iProver_def(inverse(X0),X1,sP1_iProver_def(X2,X0),X3) = sP1_iProver_def(X3,sP1_iProver_def(X1,X2)),
    inference(superposition,[status(thm)],[c_2739,c_2825]) ).

cnf(c_3464,plain,
    sP1_iProver_def(multiply(inverse(sP1_iProver_def(X0,multiply(X1,X2))),multiply(inverse(sP1_iProver_def(X0,multiply(X1,X2))),sP1_iProver_def(X0,multiply(X1,X2)))),X0) = sP3_iProver_def(X1,X2),
    inference(superposition,[status(thm)],[c_2739,c_2746]) ).

cnf(c_3465,plain,
    sP1_iProver_def(sP8_iProver_def(sP2_iProver_def(X0,X1,X2)),X2) = sP3_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_3464,c_326,c_3123]) ).

cnf(c_3496,plain,
    inverse(multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X0,X1)),X2,X3)),X4)),sP8_iProver_def(inverse(multiply(inverse(X3),sP8_iProver_def(X2)))))) = sP2_iProver_def(X0,X1,X4),
    inference(demodulation,[status(thm)],[c_2682,c_226,c_2740,c_3123]) ).

cnf(c_3526,plain,
    inverse(multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X0,X1)),X2,sP6_iProver_def(X3,X4,X5))),X6)),sP8_iProver_def(inverse(multiply(sP2_iProver_def(X3,X4,X5),sP8_iProver_def(X2)))))) = sP2_iProver_def(X0,X1,X6),
    inference(superposition,[status(thm)],[c_2873,c_3496]) ).

cnf(c_3529,plain,
    multiply(sP2_iProver_def(X0,X1,X2),sP2_iProver_def(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X0,X1)),X3,X4)),X2)),sP8_iProver_def(inverse(multiply(inverse(X4),sP8_iProver_def(X3)))),X5)) = X5,
    inference(superposition,[status(thm)],[c_3496,c_2730]) ).

cnf(c_3536,plain,
    multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X0,X1)),X2,X3)),X4)),inverse(multiply(inverse(X5),multiply(inverse(sP8_iProver_def(inverse(multiply(inverse(X3),sP8_iProver_def(X2))))),multiply(inverse(sP8_iProver_def(inverse(multiply(inverse(X3),sP8_iProver_def(X2))))),sP8_iProver_def(inverse(multiply(inverse(X3),sP8_iProver_def(X2))))))))) = inverse(multiply(inverse(multiply(inverse(multiply(sP2_iProver_def(X0,X1,X4),X6)),X5)),multiply(inverse(X6),multiply(inverse(X6),X6)))),
    inference(superposition,[status(thm)],[c_3496,c_2641]) ).

cnf(c_3548,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X1,X2)),X3,X4)),X5)),sP8_iProver_def(inverse(multiply(inverse(X4),sP8_iProver_def(X3))))))),X6)),X7)),multiply(inverse(X6),multiply(inverse(X6),X6)))) = multiply(X0,inverse(multiply(inverse(X7),multiply(sP2_iProver_def(X1,X2,X5),multiply(sP2_iProver_def(X1,X2,X5),multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X1,X2)),X3,X4)),X5)),sP8_iProver_def(inverse(multiply(inverse(X4),sP8_iProver_def(X3)))))))))),
    inference(superposition,[status(thm)],[c_3496,c_2641]) ).

cnf(c_3553,plain,
    multiply(sP2_iProver_def(X0,X1,X2),multiply(sP2_iProver_def(X0,X1,X2),multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X0,X1)),X3,X4)),X2)),sP8_iProver_def(inverse(multiply(inverse(X4),sP8_iProver_def(X3))))))) = sP8_iProver_def(multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X0,X1)),X3,X4)),X2)),sP8_iProver_def(inverse(multiply(inverse(X4),sP8_iProver_def(X3)))))),
    inference(superposition,[status(thm)],[c_3496,c_3123]) ).

cnf(c_3561,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(sP2_iProver_def(X2,X3,X4),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X2,X3)),X5,X6)),X4)),sP8_iProver_def(inverse(multiply(inverse(X6),sP8_iProver_def(X5))))),
    inference(superposition,[status(thm)],[c_3496,c_2674]) ).

cnf(c_3564,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(sP2_iProver_def(X0,X1,X2),multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X3,X4)),X5,X6)),X7)),sP8_iProver_def(inverse(multiply(inverse(X6),sP8_iProver_def(X5))))))),X8)),multiply(sP2_iProver_def(X3,X4,X7),multiply(sP2_iProver_def(X3,X4,X7),multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X3,X4)),X5,X6)),X7)),sP8_iProver_def(inverse(multiply(inverse(X6),sP8_iProver_def(X5))))))))) = sP4_iProver_def(X0,X2,X1,X8),
    inference(superposition,[status(thm)],[c_3496,c_2765]) ).

cnf(c_3566,plain,
    inverse(multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X0,X1)),inverse(multiply(inverse(X2),sP8_iProver_def(X3))),multiply(inverse(sP2_iProver_def(inverse(multiply(X4,X5)),X3,X2)),X6))),X7)),sP8_iProver_def(sP2_iProver_def(X4,X5,X6)))) = sP2_iProver_def(X0,X1,X7),
    inference(superposition,[status(thm)],[c_3496,c_3496]) ).

cnf(c_3591,plain,
    multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X0,X1)),X2,X3)),X4)),sP8_iProver_def(inverse(multiply(inverse(X3),sP8_iProver_def(X2))))) = sP6_iProver_def(X0,X1,X4),
    inference(demodulation,[status(thm)],[c_3561,c_2730,c_3252,c_3123]) ).

cnf(c_3613,plain,
    sP2_iProver_def(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X0,X1)),X2,X3)),X4)),sP8_iProver_def(inverse(multiply(inverse(X3),sP8_iProver_def(X2)))),X5) = sP4_iProver_def(X0,X4,X1,X5),
    inference(demodulation,[status(thm)],[c_3536,c_2765,c_2740]) ).

cnf(c_3616,plain,
    multiply(X0,inverse(multiply(inverse(X1),multiply(sP2_iProver_def(X2,X3,X4),multiply(sP2_iProver_def(X2,X3,X4),multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X2,X3)),X5,X6)),X4)),sP8_iProver_def(inverse(multiply(inverse(X6),sP8_iProver_def(X5)))))))))) = sP2_iProver_def(X0,multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X2,X3)),X5,X6)),X4)),sP8_iProver_def(inverse(multiply(inverse(X6),sP8_iProver_def(X5))))),X1),
    inference(demodulation,[status(thm)],[c_3548,c_226]) ).

cnf(c_3648,plain,
    sP2_iProver_def(X0,X1,sP2_iProver_def(inverse(multiply(X0,X1)),X2,X3)) = inverse(multiply(inverse(X3),sP8_iProver_def(X2))),
    inference(demodulation,[status(thm)],[c_2684,c_226,c_2740,c_3123]) ).

cnf(c_3652,plain,
    inverse(multiply(inverse(X0),sP8_iProver_def(sP1_iProver_def(X1,multiply(X2,X3))))) = sP2_iProver_def(X2,X3,sP1_iProver_def(X0,X1)),
    inference(superposition,[status(thm)],[c_2739,c_3648]) ).

cnf(c_3660,plain,
    sP2_iProver_def(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)),sP2_iProver_def(inverse(sP6_iProver_def(X0,X1,X3)),X4,X5)) = inverse(multiply(inverse(X5),sP8_iProver_def(X4))),
    inference(superposition,[status(thm)],[c_256,c_3648]) ).

cnf(c_3681,plain,
    inverse(multiply(inverse(X0),sP8_iProver_def(sP2_iProver_def(X1,X2,X3)))) = sP2_iProver_def(X1,X2,sP1_iProver_def(X0,X3)),
    inference(demodulation,[status(thm)],[c_3652,c_326]) ).

cnf(c_3697,plain,
    sP4_iProver_def(X0,X1,X2,sP2_iProver_def(sP2_iProver_def(X0,X2,X1),X3,X4)) = inverse(multiply(inverse(X4),sP8_iProver_def(X3))),
    inference(demodulation,[status(thm)],[c_3660,c_2873,c_2872,c_2893]) ).

cnf(c_3755,plain,
    inverse(multiply(sP2_iProver_def(X0,X1,X2),sP8_iProver_def(X2))) = sP3_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_2696,c_2740,c_3123]) ).

cnf(c_3790,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(sP3_iProver_def(X2,X3),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = multiply(sP2_iProver_def(X2,X3,X4),sP8_iProver_def(X4)),
    inference(superposition,[status(thm)],[c_3755,c_2674]) ).

cnf(c_3808,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(sP3_iProver_def(X2,X3),sP8_iProver_def(X1))))) = multiply(sP2_iProver_def(X2,X3,X4),sP8_iProver_def(X4)),
    inference(demodulation,[status(thm)],[c_3790,c_3123]) ).

cnf(c_3809,plain,
    multiply(sP2_iProver_def(X0,X1,X2),sP8_iProver_def(X2)) = sP12_iProver_def(X0,X1),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_3808]) ).

cnf(c_3978,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X1)),X2)),sP8_iProver_def(X1))) = sP1_iProver_def(X2,X0),
    inference(demodulation,[status(thm)],[c_2701,c_3123]) ).

cnf(c_4059,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(sP1_iProver_def(X2,X3),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = multiply(inverse(multiply(inverse(multiply(inverse(X3),X4)),X2)),sP8_iProver_def(X4)),
    inference(superposition,[status(thm)],[c_3978,c_2674]) ).

cnf(c_4102,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(sP1_iProver_def(X2,X3),sP8_iProver_def(X1))))) = multiply(inverse(multiply(inverse(multiply(inverse(X3),X4)),X2)),sP8_iProver_def(X4)),
    inference(demodulation,[status(thm)],[c_4059,c_3123]) ).

cnf(c_4103,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(X0),X1)),X2)),sP8_iProver_def(X1)) = sP13_iProver_def(X0,X2),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_4102]) ).

cnf(c_4257,plain,
    sP2_iProver_def(X0,inverse(multiply(inverse(X1),sP8_iProver_def(X2))),X3) = sP5_iProver_def(X0,X1,X2,X3),
    inference(demodulation,[status(thm)],[c_2703,c_2873,c_2740,c_2879,c_3123,c_3298,c_3315]) ).

cnf(c_4297,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,sP2_iProver_def(X2,X3,X4))) = multiply(inverse(multiply(inverse(multiply(X2,X3)),X1)),X4),
    inference(demodulation,[status(thm)],[c_2710,c_2740]) ).

cnf(c_4322,plain,
    multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(multiply(X0,X1)),X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
    inference(superposition,[status(thm)],[c_2910,c_4297]) ).

cnf(c_4337,plain,
    sP2_iProver_def(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),X4,multiply(inverse(X4),multiply(inverse(X4),X4))) = sP3_iProver_def(inverse(multiply(X5,X2)),multiply(X5,sP2_iProver_def(X0,X1,X3))),
    inference(superposition,[status(thm)],[c_4297,c_2746]) ).

cnf(c_4371,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = sP14_iProver_def(X1,X2),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_def])],[c_4322]) ).

cnf(c_4390,plain,
    sP3_iProver_def(inverse(multiply(X0,X1)),multiply(X0,sP2_iProver_def(X2,X3,X4))) = sP3_iProver_def(inverse(multiply(inverse(multiply(X2,X3)),X1)),X4),
    inference(demodulation,[status(thm)],[c_4337,c_2746]) ).

cnf(c_4568,plain,
    sP14_iProver_def(sP6_iProver_def(X0,X1,X2),inverse(multiply(inverse(X3),sP8_iProver_def(sP6_iProver_def(X0,X1,X2))))) = X3,
    inference(demodulation,[status(thm)],[c_2714,c_256,c_2740,c_2792,c_3367,c_4371]) ).

cnf(c_4583,plain,
    sP14_iProver_def(X0,inverse(multiply(sP2_iProver_def(X1,X2,X3),sP8_iProver_def(X0)))) = sP6_iProver_def(X1,X2,X3),
    inference(demodulation,[status(thm)],[c_2723,c_2740,c_3123,c_4371]) ).

cnf(c_4612,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(X0),X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))) = sP6_iProver_def(sP2_iProver_def(X3,X4,X5),sP4_iProver_def(X3,X5,X4,X0),X2),
    inference(superposition,[status(thm)],[c_2792,c_256]) ).

cnf(c_4624,plain,
    sP6_iProver_def(sP2_iProver_def(X0,X1,X2),sP4_iProver_def(X0,X2,X1,X3),X4) = sP13_iProver_def(X3,X4),
    inference(demodulation,[status(thm)],[c_4612,c_3123,c_4103]) ).

cnf(c_4675,plain,
    sP3_iProver_def(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),sP8_iProver_def(X1)))) = sP2_iProver_def(inverse(X2),X3,sP8_iProver_def(X3)),
    inference(demodulation,[status(thm)],[c_2749,c_3123]) ).

cnf(c_4853,plain,
    sP3_iProver_def(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),sP8_iProver_def(X2)) = sP2_iProver_def(sP2_iProver_def(X0,X1,X3),X4,sP8_iProver_def(X4)),
    inference(demodulation,[status(thm)],[c_2758,c_3123]) ).

cnf(c_5117,plain,
    sP4_iProver_def(X0,X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),sP8_iProver_def(X2))),X4) = inverse(multiply(inverse(multiply(inverse(multiply(sP1_iProver_def(X1,X3),X5)),X4)),sP8_iProver_def(X5))),
    inference(demodulation,[status(thm)],[c_2772,c_3123]) ).

cnf(c_5184,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(sP1_iProver_def(X0,X1),X2)),multiply(sP2_iProver_def(X3,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X1)),sP8_iProver_def(X4))),X0),X5))),sP8_iProver_def(X2))) = X5,
    inference(superposition,[status(thm)],[c_5117,c_2914]) ).

cnf(c_5186,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(sP1_iProver_def(X0,X1),X2)),X3)),sP8_iProver_def(X2))) = inverse(multiply(inverse(multiply(inverse(multiply(sP1_iProver_def(X0,X1),X4)),X3)),sP8_iProver_def(X4))),
    inference(superposition,[status(thm)],[c_5117,c_5117]) ).

cnf(c_5255,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(sP1_iProver_def(X0,X1),X2)),X3)),sP8_iProver_def(X2))) = sP16_iProver_def(X0,X1,X3),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_5186]) ).

cnf(c_5260,plain,
    inverse(multiply(inverse(sP14_iProver_def(X0,X1)),sP8_iProver_def(X0))) = X1,
    inference(demodulation,[status(thm)],[c_5184,c_3279,c_4371]) ).

cnf(c_5511,plain,
    sP2_iProver_def(inverse(sP14_iProver_def(X0,X1)),sP8_iProver_def(X0),multiply(X1,X2)) = X2,
    inference(superposition,[status(thm)],[c_5260,c_2910]) ).

cnf(c_5512,plain,
    sP2_iProver_def(inverse(sP14_iProver_def(X0,X1)),sP8_iProver_def(X0),sP2_iProver_def(X1,X2,X3)) = inverse(multiply(inverse(X3),sP8_iProver_def(X2))),
    inference(superposition,[status(thm)],[c_5260,c_3648]) ).

cnf(c_5515,plain,
    multiply(X0,sP2_iProver_def(inverse(sP14_iProver_def(X1,X0)),sP8_iProver_def(X1),X2)) = X2,
    inference(superposition,[status(thm)],[c_5260,c_2730]) ).

cnf(c_5555,plain,
    sP5_iProver_def(X0,sP14_iProver_def(X1,X2),X1,X3) = sP2_iProver_def(X0,X2,X3),
    inference(superposition,[status(thm)],[c_5260,c_4257]) ).

cnf(c_5934,plain,
    multiply(sP4_iProver_def(X0,X1,X2,X3),multiply(inverse(multiply(inverse(multiply(sP2_iProver_def(X0,X2,X1),X4)),X3)),X5)) = sP14_iProver_def(multiply(inverse(X4),multiply(inverse(X4),X4)),X5),
    inference(superposition,[status(thm)],[c_2765,c_4371]) ).

cnf(c_5936,plain,
    multiply(sP2_iProver_def(X0,X1,X2),multiply(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X0,X1)),X3,X4)),X2)),X5)) = sP14_iProver_def(sP8_iProver_def(inverse(multiply(inverse(X4),sP8_iProver_def(X3)))),X5),
    inference(superposition,[status(thm)],[c_3496,c_4371]) ).

cnf(c_5944,plain,
    multiply(inverse(X0),multiply(inverse(X1),X2)) = sP14_iProver_def(sP1_iProver_def(X0,X1),X2),
    inference(superposition,[status(thm)],[c_2725,c_4371]) ).

cnf(c_5962,plain,
    multiply(inverse(multiply(inverse(X0),X1)),X2) = sP14_iProver_def(X1,sP1_iProver_def(X2,X0)),
    inference(superposition,[status(thm)],[c_2725,c_4371]) ).

cnf(c_5972,plain,
    multiply(inverse(multiply(sP2_iProver_def(X0,X1,X2),X3)),X4) = sP14_iProver_def(X3,sP4_iProver_def(X0,X2,X1,X4)),
    inference(superposition,[status(thm)],[c_2792,c_4371]) ).

cnf(c_5998,plain,
    sP2_iProver_def(X0,X1,sP14_iProver_def(X1,X2)) = multiply(X0,X2),
    inference(superposition,[status(thm)],[c_4371,c_2910]) ).

cnf(c_6021,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),X3))),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(X0,inverse(sP14_iProver_def(X3,multiply(inverse(X1),X1)))),
    inference(superposition,[status(thm)],[c_4371,c_2641]) ).

cnf(c_6031,plain,
    sP1_iProver_def(sP8_iProver_def(multiply(X0,X1)),multiply(X0,X1)) = sP14_iProver_def(X1,X1),
    inference(superposition,[status(thm)],[c_4371,c_3290]) ).

cnf(c_6035,plain,
    multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3) = sP14_iProver_def(X2,sP2_iProver_def(X0,X1,X3)),
    inference(superposition,[status(thm)],[c_4371,c_4297]) ).

cnf(c_6038,plain,
    sP2_iProver_def(X0,X1,sP8_iProver_def(multiply(X0,X1))) = sP14_iProver_def(X1,X1),
    inference(demodulation,[status(thm)],[c_6031,c_326]) ).

cnf(c_6071,plain,
    multiply(sP4_iProver_def(X0,X1,X2,X3),multiply(inverse(multiply(inverse(multiply(sP2_iProver_def(X0,X2,X1),X4)),X3)),X5)) = sP14_iProver_def(sP8_iProver_def(X4),X5),
    inference(demodulation,[status(thm)],[c_5934,c_3123]) ).

cnf(c_6075,plain,
    multiply(X0,inverse(sP14_iProver_def(X1,sP1_iProver_def(sP8_iProver_def(X2),X2)))) = sP2_iProver_def(X0,X2,multiply(inverse(X2),X1)),
    inference(demodulation,[status(thm)],[c_6021,c_226,c_3290]) ).

cnf(c_6254,plain,
    sP3_iProver_def(inverse(sP14_iProver_def(X0,sP4_iProver_def(X1,X2,X3,X4))),sP8_iProver_def(X0)) = sP2_iProver_def(sP4_iProver_def(X1,X2,X3,X4),X5,sP8_iProver_def(X5)),
    inference(demodulation,[status(thm)],[c_2779,c_3123,c_5972]) ).

cnf(c_6270,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(sP14_iProver_def(X0,sP4_iProver_def(X1,X2,X3,X4))),sP8_iProver_def(X0))),X5)),sP2_iProver_def(sP4_iProver_def(X1,X2,X3,X4),X6,sP8_iProver_def(X6))) = sP8_iProver_def(X5),
    inference(superposition,[status(thm)],[c_6254,c_684]) ).

cnf(c_6294,plain,
    sP14_iProver_def(X0,inverse(sP1_iProver_def(sP8_iProver_def(sP8_iProver_def(X1)),sP8_iProver_def(X1)))) = sP8_iProver_def(X0),
    inference(demodulation,[status(thm)],[c_6270,c_3290,c_5512,c_6035]) ).

cnf(c_6594,plain,
    sP6_iProver_def(sP2_iProver_def(X0,X1,X2),sP4_iProver_def(X0,X2,X1,X3),X4) = sP14_iProver_def(X5,inverse(multiply(sP1_iProver_def(X4,X3),sP8_iProver_def(X5)))),
    inference(superposition,[status(thm)],[c_2791,c_4583]) ).

cnf(c_6604,plain,
    sP14_iProver_def(X0,inverse(multiply(sP1_iProver_def(X1,X2),sP8_iProver_def(X0)))) = sP13_iProver_def(X2,X1),
    inference(demodulation,[status(thm)],[c_6594,c_4624]) ).

cnf(c_6739,plain,
    sP2_iProver_def(inverse(multiply(X0,X1)),sP11_iProver_def(X2,X3,X4,X5),multiply(sP4_iProver_def(X2,X4,X3,X5),sP14_iProver_def(sP8_iProver_def(X6),sP8_iProver_def(X6)))) = sP3_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_2795,c_2809,c_3123,c_6071]) ).

cnf(c_6778,plain,
    multiply(inverse(multiply(inverse(multiply(X0,X1)),sP11_iProver_def(X2,X3,X4,X5))),sP3_iProver_def(X0,X1)) = multiply(sP4_iProver_def(X2,X4,X3,X5),sP14_iProver_def(sP8_iProver_def(X6),sP8_iProver_def(X6))),
    inference(superposition,[status(thm)],[c_6739,c_2730]) ).

cnf(c_6789,plain,
    multiply(sP4_iProver_def(X0,X1,X2,X3),sP14_iProver_def(sP8_iProver_def(X4),sP8_iProver_def(X4))) = sP8_iProver_def(sP11_iProver_def(X0,X2,X1,X3)),
    inference(demodulation,[status(thm)],[c_6778,c_684]) ).

cnf(c_6871,plain,
    inverse(sP14_iProver_def(X0,sP2_iProver_def(sP2_iProver_def(X1,X2,X3),sP11_iProver_def(X4,X5,X6,X7),sP8_iProver_def(sP11_iProver_def(X4,X5,X6,X7))))) = sP4_iProver_def(X1,X3,X2,X0),
    inference(demodulation,[status(thm)],[c_2798,c_2809,c_3123,c_6035,c_6071,c_6789]) ).

cnf(c_7047,plain,
    inverse(sP14_iProver_def(sP1_iProver_def(X0,X1),sP1_iProver_def(sP8_iProver_def(X1),X1))) = inverse(multiply(inverse(X0),sP8_iProver_def(X1))),
    inference(demodulation,[status(thm)],[c_2802,c_3697,c_3290,c_5944]) ).

cnf(c_7082,plain,
    sP14_iProver_def(sP6_iProver_def(X0,X1,X2),inverse(multiply(inverse(multiply(inverse(X3),sP8_iProver_def(X4))),sP8_iProver_def(sP6_iProver_def(X0,X1,X2))))) = sP14_iProver_def(sP1_iProver_def(X3,X4),sP1_iProver_def(sP8_iProver_def(X4),X4)),
    inference(superposition,[status(thm)],[c_7047,c_4568]) ).

cnf(c_7094,plain,
    sP14_iProver_def(sP1_iProver_def(X0,X1),sP1_iProver_def(sP8_iProver_def(X1),X1)) = multiply(inverse(X0),sP8_iProver_def(X1)),
    inference(demodulation,[status(thm)],[c_7082,c_4568]) ).

cnf(c_7220,plain,
    sP14_iProver_def(X0,sP2_iProver_def(sP2_iProver_def(X1,X2,X3),X4,sP8_iProver_def(X4))) = sP11_iProver_def(X1,X2,X3,X0),
    inference(demodulation,[status(thm)],[c_2809,c_3123,c_6035]) ).

cnf(c_7306,plain,
    sP1_iProver_def(sP14_iProver_def(sP1_iProver_def(X0,X1),X2),X0) = multiply(inverse(X1),X2),
    inference(superposition,[status(thm)],[c_5998,c_2739]) ).

cnf(c_7527,plain,
    sP2_iProver_def(inverse(sP14_iProver_def(X0,inverse(multiply(X1,X2)))),sP8_iProver_def(X0),X3) = sP2_iProver_def(X1,X2,X3),
    inference(superposition,[status(thm)],[c_2730,c_5511]) ).

cnf(c_7692,plain,
    sP6_iProver_def(X0,X1,sP2_iProver_def(inverse(sP14_iProver_def(X2,inverse(multiply(inverse(multiply(X0,X1)),X3)))),sP8_iProver_def(X2),X4)) = multiply(inverse(X4),multiply(inverse(X3),multiply(inverse(X3),X3))),
    inference(superposition,[status(thm)],[c_5515,c_256]) ).

cnf(c_7697,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(sP1_iProver_def(X0,sP2_iProver_def(inverse(sP14_iProver_def(X1,inverse(multiply(X2,X3)))),sP8_iProver_def(X1),X4)),X5)),X6)),sP8_iProver_def(X5))) = sP4_iProver_def(X2,X0,inverse(multiply(inverse(X4),sP8_iProver_def(X3))),X6),
    inference(superposition,[status(thm)],[c_5515,c_5117]) ).

cnf(c_7726,plain,
    sP6_iProver_def(X0,X1,sP2_iProver_def(inverse(multiply(X0,X1)),X2,X3)) = multiply(inverse(X3),sP8_iProver_def(X2)),
    inference(demodulation,[status(thm)],[c_7692,c_3290,c_5944,c_7094,c_7527]) ).

cnf(c_7735,plain,
    sP4_iProver_def(X0,X1,inverse(multiply(inverse(X2),sP8_iProver_def(X3))),X4) = sP16_iProver_def(X1,sP2_iProver_def(X0,X3,X2),X4),
    inference(demodulation,[status(thm)],[c_7697,c_5255,c_7527]) ).

cnf(c_8954,plain,
    inverse(multiply(inverse(sP8_iProver_def(X0)),sP8_iProver_def(X0))) = inverse(sP1_iProver_def(sP8_iProver_def(sP8_iProver_def(X1)),sP8_iProver_def(X1))),
    inference(superposition,[status(thm)],[c_6294,c_5260]) ).

cnf(c_8956,plain,
    inverse(sP1_iProver_def(sP8_iProver_def(sP8_iProver_def(X0)),sP8_iProver_def(X0))) = inverse(sP1_iProver_def(sP8_iProver_def(sP8_iProver_def(X1)),sP8_iProver_def(X1))),
    inference(demodulation,[status(thm)],[c_8954,c_3290]) ).

cnf(c_8957,plain,
    inverse(sP1_iProver_def(sP8_iProver_def(sP8_iProver_def(X0)),sP8_iProver_def(X0))) = sP19_iProver_def,
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_def])],[c_8956]) ).

cnf(c_8996,plain,
    sP1_iProver_def(multiply(sP19_iProver_def,X0),sP1_iProver_def(sP8_iProver_def(sP8_iProver_def(X1)),sP8_iProver_def(X1))) = X0,
    inference(superposition,[status(thm)],[c_8957,c_2901]) ).

cnf(c_8997,plain,
    multiply(sP19_iProver_def,sP1_iProver_def(X0,sP1_iProver_def(sP8_iProver_def(sP8_iProver_def(X1)),sP8_iProver_def(X1)))) = X0,
    inference(superposition,[status(thm)],[c_8957,c_2725]) ).

cnf(c_9012,plain,
    sP14_iProver_def(X0,sP19_iProver_def) = sP8_iProver_def(X0),
    inference(superposition,[status(thm)],[c_8957,c_6294]) ).

cnf(c_9013,plain,
    multiply(sP19_iProver_def,sP2_iProver_def(inverse(sP8_iProver_def(X0)),sP8_iProver_def(X0),X1)) = X1,
    inference(demodulation,[status(thm)],[c_8997,c_3357]) ).

cnf(c_9014,plain,
    sP2_iProver_def(inverse(sP8_iProver_def(X0)),sP8_iProver_def(X0),multiply(sP19_iProver_def,X1)) = X1,
    inference(demodulation,[status(thm)],[c_8996,c_3357]) ).

cnf(c_9103,plain,
    sP2_iProver_def(X0,X1,sP8_iProver_def(X1)) = multiply(X0,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_9012,c_5998]) ).

cnf(c_9125,plain,
    multiply(multiply(X0,sP19_iProver_def),sP8_iProver_def(sP8_iProver_def(X1))) = sP12_iProver_def(X0,X1),
    inference(superposition,[status(thm)],[c_9103,c_3809]) ).

cnf(c_9126,plain,
    sP1_iProver_def(sP8_iProver_def(multiply(X0,sP19_iProver_def)),sP8_iProver_def(X1)) = sP3_iProver_def(X0,X1),
    inference(superposition,[status(thm)],[c_9103,c_3465]) ).

cnf(c_9133,plain,
    sP1_iProver_def(sP8_iProver_def(sP1_iProver_def(X0,X1)),X0) = multiply(inverse(X1),sP19_iProver_def),
    inference(superposition,[status(thm)],[c_9103,c_2739]) ).

cnf(c_9147,plain,
    multiply(inverse(multiply(X0,X1)),sP19_iProver_def) = sP3_iProver_def(X0,X1),
    inference(superposition,[status(thm)],[c_9103,c_3124]) ).

cnf(c_9295,plain,
    sP6_iProver_def(inverse(X0),sP1_iProver_def(X1,X0),X2) = sP14_iProver_def(X2,multiply(inverse(X1),sP19_iProver_def)),
    inference(demodulation,[status(thm)],[c_2848,c_3123,c_6035,c_9103]) ).

cnf(c_9313,plain,
    sP6_iProver_def(inverse(sP6_iProver_def(X0,X1,X2)),sP4_iProver_def(X0,X2,X1,X3),X4) = sP14_iProver_def(X4,multiply(inverse(X3),sP19_iProver_def)),
    inference(superposition,[status(thm)],[c_2893,c_9295]) ).

cnf(c_9319,plain,
    sP2_iProver_def(inverse(X0),sP1_iProver_def(X1,X0),X2) = inverse(sP14_iProver_def(X2,multiply(inverse(X1),sP19_iProver_def))),
    inference(superposition,[status(thm)],[c_9295,c_2873]) ).

cnf(c_9323,plain,
    inverse(sP14_iProver_def(X0,multiply(inverse(X1),sP19_iProver_def))) = sP1_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_9319,c_2739]) ).

cnf(c_9328,plain,
    sP14_iProver_def(X0,multiply(inverse(X1),sP19_iProver_def)) = sP13_iProver_def(X1,X0),
    inference(demodulation,[status(thm)],[c_9313,c_2873,c_4624]) ).

cnf(c_9439,plain,
    sP6_iProver_def(inverse(multiply(X0,X1)),X2,sP8_iProver_def(X2)) = sP12_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_2867,c_2873,c_3123,c_3290,c_3809,c_5944,c_7094]) ).

cnf(c_9559,plain,
    sP3_iProver_def(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X0,X1)),X2,X3)),X4)),sP8_iProver_def(inverse(multiply(inverse(X3),sP8_iProver_def(X2))))) = multiply(sP2_iProver_def(X0,X1,X4),sP19_iProver_def),
    inference(superposition,[status(thm)],[c_3496,c_9147]) ).

cnf(c_9562,plain,
    sP3_iProver_def(inverse(sP14_iProver_def(X0,X1)),sP8_iProver_def(X0)) = multiply(X1,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_5260,c_9147]) ).

cnf(c_9566,plain,
    multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2))))),sP19_iProver_def) = sP3_iProver_def(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),
    inference(superposition,[status(thm)],[c_2641,c_9147]) ).

cnf(c_9575,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),sP19_iProver_def) = sP3_iProver_def(inverse(multiply(X4,X2)),multiply(X4,sP2_iProver_def(X0,X1,X3))),
    inference(superposition,[status(thm)],[c_4297,c_9147]) ).

cnf(c_9612,plain,
    sP2_iProver_def(X0,X1,sP3_iProver_def(X0,X1)) = sP19_iProver_def,
    inference(superposition,[status(thm)],[c_9147,c_2910]) ).

cnf(c_9667,plain,
    sP3_iProver_def(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3) = sP14_iProver_def(X3,sP2_iProver_def(inverse(multiply(X0,X1)),X2,sP19_iProver_def)),
    inference(demodulation,[status(thm)],[c_9575,c_4390,c_6035]) ).

cnf(c_9685,plain,
    sP3_iProver_def(X0,inverse(multiply(inverse(X1),sP8_iProver_def(X2)))) = multiply(inverse(sP2_iProver_def(X0,X2,X1)),sP19_iProver_def),
    inference(demodulation,[status(thm)],[c_9566,c_226,c_3290,c_5944,c_7094]) ).

cnf(c_9803,plain,
    multiply(sP19_iProver_def,sP4_iProver_def(X0,sP3_iProver_def(X0,X1),X1,X2)) = X2,
    inference(superposition,[status(thm)],[c_9612,c_2792]) ).

cnf(c_9804,plain,
    multiply(sP19_iProver_def,sP8_iProver_def(sP3_iProver_def(X0,X1))) = sP12_iProver_def(X0,X1),
    inference(superposition,[status(thm)],[c_9612,c_3809]) ).

cnf(c_9816,plain,
    inverse(sP14_iProver_def(X0,sP2_iProver_def(sP19_iProver_def,sP11_iProver_def(X1,X2,X3,X4),sP8_iProver_def(sP11_iProver_def(X1,X2,X3,X4))))) = sP4_iProver_def(X5,sP3_iProver_def(X5,X6),X6,X0),
    inference(superposition,[status(thm)],[c_9612,c_6871]) ).

cnf(c_9837,plain,
    sP4_iProver_def(X0,sP3_iProver_def(X0,X1),X1,X2) = inverse(sP14_iProver_def(X2,multiply(sP19_iProver_def,sP19_iProver_def))),
    inference(demodulation,[status(thm)],[c_9816,c_9103]) ).

cnf(c_9851,plain,
    sP14_iProver_def(X0,sP1_iProver_def(sP8_iProver_def(sP19_iProver_def),sP19_iProver_def)) = sP13_iProver_def(sP19_iProver_def,X0),
    inference(superposition,[status(thm)],[c_3290,c_9328]) ).

cnf(c_10909,plain,
    inverse(multiply(inverse(X0),sP8_iProver_def(sP19_iProver_def))) = inverse(sP13_iProver_def(sP19_iProver_def,sP1_iProver_def(X0,sP19_iProver_def))),
    inference(superposition,[status(thm)],[c_9851,c_7047]) ).

cnf(c_10980,plain,
    multiply(inverse(multiply(inverse(sP8_iProver_def(X0)),sP8_iProver_def(X0))),X1) = multiply(sP19_iProver_def,X1),
    inference(superposition,[status(thm)],[c_2910,c_9013]) ).

cnf(c_11020,plain,
    sP14_iProver_def(sP8_iProver_def(X0),sP1_iProver_def(X1,sP8_iProver_def(X0))) = multiply(sP19_iProver_def,X1),
    inference(demodulation,[status(thm)],[c_10980,c_5962]) ).

cnf(c_11963,plain,
    inverse(sP13_iProver_def(X0,X1)) = sP1_iProver_def(X1,X0),
    inference(demodulation,[status(thm)],[c_9323,c_9328]) ).

cnf(c_11975,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(sP1_iProver_def(X0,X1),X2)),X3)),sP8_iProver_def(X2))) = sP1_iProver_def(X3,sP13_iProver_def(X1,X0)),
    inference(superposition,[status(thm)],[c_11963,c_3978]) ).

cnf(c_11997,plain,
    sP1_iProver_def(X0,sP13_iProver_def(X1,X2)) = sP16_iProver_def(X2,X1,X0),
    inference(demodulation,[status(thm)],[c_11975,c_5255]) ).

cnf(c_12099,plain,
    multiply(inverse(sP13_iProver_def(X0,X1)),sP16_iProver_def(X1,X0,X2)) = X2,
    inference(superposition,[status(thm)],[c_11997,c_2725]) ).

cnf(c_12100,plain,
    sP16_iProver_def(X0,X1,multiply(inverse(sP13_iProver_def(X1,X0)),X2)) = X2,
    inference(superposition,[status(thm)],[c_11997,c_2901]) ).

cnf(c_12115,plain,
    sP16_iProver_def(X0,X1,multiply(sP1_iProver_def(X0,X1),X2)) = X2,
    inference(demodulation,[status(thm)],[c_12100,c_11963]) ).

cnf(c_12116,plain,
    multiply(sP1_iProver_def(X0,X1),sP16_iProver_def(X0,X1,X2)) = X2,
    inference(demodulation,[status(thm)],[c_12099,c_11963]) ).

cnf(c_12150,plain,
    sP16_iProver_def(multiply(inverse(X0),X1),X0,multiply(X1,X2)) = X2,
    inference(superposition,[status(thm)],[c_2901,c_12115]) ).

cnf(c_13792,plain,
    multiply(X0,sP16_iProver_def(multiply(inverse(X1),X0),X1,X2)) = X2,
    inference(superposition,[status(thm)],[c_2901,c_12116]) ).

cnf(c_14273,plain,
    sP14_iProver_def(sP1_iProver_def(sP8_iProver_def(X0),X0),sP1_iProver_def(sP1_iProver_def(X1,sP8_iProver_def(X0)),X0)) = X1,
    inference(demodulation,[status(thm)],[c_3056,c_3122,c_3290,c_5962]) ).

cnf(c_14307,plain,
    multiply(sP19_iProver_def,inverse(sP14_iProver_def(X0,multiply(sP19_iProver_def,sP19_iProver_def)))) = X0,
    inference(demodulation,[status(thm)],[c_9803,c_9837]) ).

cnf(c_14938,plain,
    multiply(sP19_iProver_def,sP8_iProver_def(sP1_iProver_def(sP8_iProver_def(X0),X1))) = sP14_iProver_def(sP8_iProver_def(X0),multiply(inverse(X1),sP19_iProver_def)),
    inference(superposition,[status(thm)],[c_9133,c_11020]) ).

cnf(c_14950,plain,
    multiply(sP19_iProver_def,sP8_iProver_def(sP1_iProver_def(sP8_iProver_def(X0),X1))) = sP13_iProver_def(X1,sP8_iProver_def(X0)),
    inference(demodulation,[status(thm)],[c_14938,c_9328]) ).

cnf(c_15484,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1)))) = sP16_iProver_def(multiply(inverse(X3),X0),X3,X2),
    inference(superposition,[status(thm)],[c_49,c_12150]) ).

cnf(c_15523,plain,
    sP16_iProver_def(multiply(inverse(X0),X1),X0,X2) = inverse(sP14_iProver_def(X2,multiply(X1,sP19_iProver_def))),
    inference(demodulation,[status(thm)],[c_15484,c_3123,c_6035,c_9103]) ).

cnf(c_15964,plain,
    multiply(X0,inverse(sP14_iProver_def(X1,multiply(X0,sP19_iProver_def)))) = X1,
    inference(demodulation,[status(thm)],[c_13792,c_15523]) ).

cnf(c_15966,plain,
    multiply(inverse(sP19_iProver_def),inverse(sP14_iProver_def(X0,sP1_iProver_def(sP8_iProver_def(sP19_iProver_def),sP19_iProver_def)))) = X0,
    inference(superposition,[status(thm)],[c_3290,c_15964]) ).

cnf(c_16066,plain,
    sP2_iProver_def(inverse(sP19_iProver_def),sP19_iProver_def,multiply(inverse(sP19_iProver_def),X0)) = X0,
    inference(demodulation,[status(thm)],[c_15966,c_6075]) ).

cnf(c_16116,plain,
    sP2_iProver_def(inverse(sP19_iProver_def),sP19_iProver_def,X0) = sP1_iProver_def(X0,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_2725,c_16066]) ).

cnf(c_16132,plain,
    sP1_iProver_def(sP8_iProver_def(X0),multiply(inverse(sP19_iProver_def),X0)) = sP3_iProver_def(inverse(sP19_iProver_def),sP19_iProver_def),
    inference(superposition,[status(thm)],[c_16066,c_3465]) ).

cnf(c_16136,plain,
    multiply(inverse(multiply(inverse(sP19_iProver_def),sP19_iProver_def)),X0) = multiply(inverse(sP19_iProver_def),X0),
    inference(superposition,[status(thm)],[c_16066,c_2730]) ).

cnf(c_16152,plain,
    sP14_iProver_def(sP19_iProver_def,sP1_iProver_def(X0,sP19_iProver_def)) = multiply(inverse(sP19_iProver_def),X0),
    inference(demodulation,[status(thm)],[c_16136,c_5962]) ).

cnf(c_16153,plain,
    sP1_iProver_def(sP8_iProver_def(sP19_iProver_def),sP19_iProver_def) = sP3_iProver_def(inverse(sP19_iProver_def),sP19_iProver_def),
    inference(demodulation,[status(thm)],[c_16132,c_326,c_3290,c_9103]) ).

cnf(c_16242,plain,
    sP14_iProver_def(X0,inverse(multiply(sP1_iProver_def(X1,sP19_iProver_def),sP8_iProver_def(X0)))) = sP6_iProver_def(inverse(sP19_iProver_def),sP19_iProver_def,X1),
    inference(superposition,[status(thm)],[c_16116,c_4583]) ).

cnf(c_16260,plain,
    sP6_iProver_def(inverse(sP19_iProver_def),sP19_iProver_def,X0) = sP13_iProver_def(sP19_iProver_def,X0),
    inference(demodulation,[status(thm)],[c_16242,c_6604]) ).

cnf(c_16350,plain,
    multiply(sP19_iProver_def,sP8_iProver_def(sP1_iProver_def(sP8_iProver_def(sP19_iProver_def),sP19_iProver_def))) = sP12_iProver_def(inverse(sP19_iProver_def),sP19_iProver_def),
    inference(superposition,[status(thm)],[c_16153,c_9804]) ).

cnf(c_16360,plain,
    sP12_iProver_def(inverse(sP19_iProver_def),sP19_iProver_def) = sP13_iProver_def(sP19_iProver_def,sP8_iProver_def(sP19_iProver_def)),
    inference(demodulation,[status(thm)],[c_16350,c_14950]) ).

cnf(c_17114,plain,
    multiply(inverse(sP19_iProver_def),multiply(inverse(sP19_iProver_def),X0)) = sP14_iProver_def(sP19_iProver_def,X0),
    inference(superposition,[status(thm)],[c_2901,c_16152]) ).

cnf(c_17124,plain,
    multiply(inverse(sP19_iProver_def),sP8_iProver_def(sP19_iProver_def)) = sP13_iProver_def(sP19_iProver_def,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_16152,c_9851]) ).

cnf(c_17126,plain,
    sP14_iProver_def(sP1_iProver_def(sP19_iProver_def,sP19_iProver_def),X0) = sP14_iProver_def(sP19_iProver_def,X0),
    inference(demodulation,[status(thm)],[c_17114,c_5944]) ).

cnf(c_17851,plain,
    multiply(sP19_iProver_def,inverse(sP14_iProver_def(sP19_iProver_def,multiply(sP19_iProver_def,sP19_iProver_def)))) = sP1_iProver_def(sP19_iProver_def,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_17126,c_14307]) ).

cnf(c_17855,plain,
    sP1_iProver_def(sP19_iProver_def,sP19_iProver_def) = sP19_iProver_def,
    inference(demodulation,[status(thm)],[c_17851,c_14307]) ).

cnf(c_18491,plain,
    multiply(inverse(sP19_iProver_def),sP19_iProver_def) = sP19_iProver_def,
    inference(superposition,[status(thm)],[c_17855,c_2725]) ).

cnf(c_18492,plain,
    multiply(inverse(sP19_iProver_def),sP19_iProver_def) = sP14_iProver_def(sP19_iProver_def,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_17855,c_16152]) ).

cnf(c_18493,plain,
    sP1_iProver_def(sP8_iProver_def(sP19_iProver_def),sP19_iProver_def) = sP19_iProver_def,
    inference(demodulation,[status(thm)],[c_18491,c_3290]) ).

cnf(c_18494,plain,
    sP1_iProver_def(sP8_iProver_def(sP19_iProver_def),sP19_iProver_def) = sP8_iProver_def(sP19_iProver_def),
    inference(demodulation,[status(thm)],[c_18492,c_3290,c_9012]) ).

cnf(c_18501,plain,
    inverse(multiply(inverse(sP8_iProver_def(sP19_iProver_def)),sP8_iProver_def(sP19_iProver_def))) = inverse(sP14_iProver_def(sP19_iProver_def,sP19_iProver_def)),
    inference(superposition,[status(thm)],[c_18493,c_7047]) ).

cnf(c_18506,plain,
    sP2_iProver_def(inverse(sP19_iProver_def),sP19_iProver_def,X0) = sP1_iProver_def(X0,sP8_iProver_def(sP19_iProver_def)),
    inference(superposition,[status(thm)],[c_18493,c_2739]) ).

cnf(c_18518,plain,
    sP13_iProver_def(sP19_iProver_def,X0) = sP14_iProver_def(X0,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_18493,c_9851]) ).

cnf(c_18520,plain,
    sP13_iProver_def(sP19_iProver_def,X0) = sP8_iProver_def(X0),
    inference(demodulation,[status(thm)],[c_18518,c_9012]) ).

cnf(c_18523,plain,
    sP1_iProver_def(X0,sP8_iProver_def(sP19_iProver_def)) = sP1_iProver_def(X0,sP19_iProver_def),
    inference(demodulation,[status(thm)],[c_18506,c_16116]) ).

cnf(c_18527,plain,
    inverse(sP8_iProver_def(sP19_iProver_def)) = sP19_iProver_def,
    inference(demodulation,[status(thm)],[c_18501,c_3354,c_9012,c_10909,c_11963]) ).

cnf(c_18554,plain,
    sP1_iProver_def(multiply(sP19_iProver_def,X0),sP8_iProver_def(sP19_iProver_def)) = X0,
    inference(superposition,[status(thm)],[c_18527,c_2901]) ).

cnf(c_18576,plain,
    sP1_iProver_def(multiply(sP19_iProver_def,X0),sP19_iProver_def) = X0,
    inference(demodulation,[status(thm)],[c_18554,c_18523]) ).

cnf(c_18605,plain,
    inverse(sP8_iProver_def(X0)) = sP1_iProver_def(X0,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_18520,c_11963]) ).

cnf(c_18638,plain,
    sP8_iProver_def(sP19_iProver_def) = sP19_iProver_def,
    inference(demodulation,[status(thm)],[c_18494,c_18493]) ).

cnf(c_18701,plain,
    inverse(sP19_iProver_def) = sP19_iProver_def,
    inference(superposition,[status(thm)],[c_18638,c_18527]) ).

cnf(c_18795,plain,
    multiply(sP19_iProver_def,sP8_iProver_def(sP19_iProver_def)) = sP13_iProver_def(sP19_iProver_def,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_18701,c_17124]) ).

cnf(c_18796,plain,
    sP13_iProver_def(sP19_iProver_def,sP8_iProver_def(sP19_iProver_def)) = sP12_iProver_def(sP19_iProver_def,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_18701,c_16360]) ).

cnf(c_18798,plain,
    sP1_iProver_def(sP8_iProver_def(sP19_iProver_def),sP19_iProver_def) = sP3_iProver_def(sP19_iProver_def,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_18701,c_16153]) ).

cnf(c_18799,plain,
    sP2_iProver_def(sP19_iProver_def,sP19_iProver_def,X0) = sP1_iProver_def(X0,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_18701,c_16116]) ).

cnf(c_18801,plain,
    sP3_iProver_def(sP19_iProver_def,sP19_iProver_def) = sP19_iProver_def,
    inference(demodulation,[status(thm)],[c_18798,c_18494,c_18638]) ).

cnf(c_18803,plain,
    sP12_iProver_def(sP19_iProver_def,sP19_iProver_def) = sP19_iProver_def,
    inference(demodulation,[status(thm)],[c_18796,c_18520,c_18638]) ).

cnf(c_18804,plain,
    multiply(sP19_iProver_def,sP19_iProver_def) = sP19_iProver_def,
    inference(demodulation,[status(thm)],[c_18795,c_18520,c_18638]) ).

cnf(c_18843,plain,
    sP2_iProver_def(X0,X1,sP6_iProver_def(inverse(sP19_iProver_def),sP19_iProver_def,multiply(inverse(sP19_iProver_def),X2))) = multiply(X0,inverse(multiply(X2,sP8_iProver_def(X1)))),
    inference(superposition,[status(thm)],[c_16066,c_3252]) ).

cnf(c_18884,plain,
    sP3_iProver_def(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X0,X1)),X2,sP6_iProver_def(X3,X4,X5))),X6)),sP8_iProver_def(inverse(multiply(sP2_iProver_def(X3,X4,X5),sP8_iProver_def(X2))))) = sP2_iProver_def(sP2_iProver_def(X0,X1,X6),X7,sP8_iProver_def(X7)),
    inference(superposition,[status(thm)],[c_3252,c_4853]) ).

cnf(c_18967,plain,
    multiply(X0,inverse(multiply(X1,sP8_iProver_def(X2)))) = sP2_iProver_def(X0,X2,sP8_iProver_def(multiply(sP19_iProver_def,X1))),
    inference(demodulation,[status(thm)],[c_18843,c_16260,c_18520,c_18701]) ).

cnf(c_18984,plain,
    sP3_iProver_def(inverse(multiply(inverse(sP2_iProver_def(inverse(multiply(X0,X1)),X2,sP6_iProver_def(X3,X4,X5))),X6)),sP8_iProver_def(inverse(multiply(sP2_iProver_def(X3,X4,X5),sP8_iProver_def(X2))))) = multiply(sP2_iProver_def(X0,X1,X6),sP19_iProver_def),
    inference(demodulation,[status(thm)],[c_18884,c_9103]) ).

cnf(c_19095,plain,
    sP8_iProver_def(sP2_iProver_def(sP19_iProver_def,sP19_iProver_def,X0)) = multiply(inverse(X0),sP19_iProver_def),
    inference(superposition,[status(thm)],[c_18801,c_3125]) ).

cnf(c_19097,plain,
    multiply(inverse(X0),sP19_iProver_def) = sP8_iProver_def(sP1_iProver_def(X0,sP19_iProver_def)),
    inference(demodulation,[status(thm)],[c_19095,c_18799]) ).

cnf(c_19157,plain,
    sP6_iProver_def(inverse(sP19_iProver_def),X0,sP8_iProver_def(X0)) = sP12_iProver_def(sP19_iProver_def,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_18804,c_9439]) ).

cnf(c_19180,plain,
    multiply(inverse(multiply(sP19_iProver_def,X0)),sP19_iProver_def) = sP14_iProver_def(X0,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_18804,c_4371]) ).

cnf(c_19196,plain,
    sP1_iProver_def(sP8_iProver_def(sP19_iProver_def),sP8_iProver_def(X0)) = sP3_iProver_def(sP19_iProver_def,X0),
    inference(superposition,[status(thm)],[c_18804,c_9126]) ).

cnf(c_19197,plain,
    multiply(sP19_iProver_def,sP8_iProver_def(sP8_iProver_def(X0))) = sP12_iProver_def(sP19_iProver_def,X0),
    inference(superposition,[status(thm)],[c_18804,c_9125]) ).

cnf(c_19201,plain,
    sP1_iProver_def(sP19_iProver_def,sP8_iProver_def(X0)) = sP3_iProver_def(sP19_iProver_def,X0),
    inference(demodulation,[status(thm)],[c_19196,c_18638]) ).

cnf(c_19203,plain,
    sP3_iProver_def(sP19_iProver_def,X0) = sP8_iProver_def(X0),
    inference(demodulation,[status(thm)],[c_19180,c_9012,c_9147]) ).

cnf(c_19205,plain,
    sP6_iProver_def(sP19_iProver_def,X0,sP8_iProver_def(X0)) = sP19_iProver_def,
    inference(demodulation,[status(thm)],[c_19157,c_18701,c_18803]) ).

cnf(c_19267,plain,
    multiply(inverse(X0),sP8_iProver_def(X1)) = sP8_iProver_def(sP2_iProver_def(sP19_iProver_def,X1,X0)),
    inference(superposition,[status(thm)],[c_19203,c_3125]) ).

cnf(c_19445,plain,
    sP2_iProver_def(X0,X1,sP8_iProver_def(multiply(sP19_iProver_def,inverse(X2)))) = sP2_iProver_def(X0,X1,X2),
    inference(demodulation,[status(thm)],[c_3298,c_18967]) ).

cnf(c_19542,plain,
    multiply(sP19_iProver_def,sP2_iProver_def(inverse(sP8_iProver_def(X0)),sP8_iProver_def(X0),X1)) = sP8_iProver_def(multiply(sP19_iProver_def,inverse(X1))),
    inference(superposition,[status(thm)],[c_19445,c_9013]) ).

cnf(c_19548,plain,
    sP8_iProver_def(multiply(sP19_iProver_def,inverse(X0))) = X0,
    inference(demodulation,[status(thm)],[c_19542,c_9013]) ).

cnf(c_19745,plain,
    multiply(sP1_iProver_def(X0,sP19_iProver_def),sP1_iProver_def(X1,sP8_iProver_def(X0))) = X1,
    inference(demodulation,[status(thm)],[c_3301,c_3291,c_18605]) ).

cnf(c_21753,plain,
    inverse(sP1_iProver_def(sP8_iProver_def(X0),X0)) = sP19_iProver_def,
    inference(superposition,[status(thm)],[c_19548,c_8957]) ).

cnf(c_22188,plain,
    sP1_iProver_def(sP8_iProver_def(X0),X0) = sP8_iProver_def(multiply(sP19_iProver_def,sP19_iProver_def)),
    inference(superposition,[status(thm)],[c_21753,c_19548]) ).

cnf(c_22221,plain,
    sP1_iProver_def(sP8_iProver_def(X0),X0) = sP19_iProver_def,
    inference(demodulation,[status(thm)],[c_22188,c_18638,c_18804]) ).

cnf(c_22579,plain,
    sP1_iProver_def(sP8_iProver_def(sP19_iProver_def),sP8_iProver_def(X0)) = multiply(inverse(X0),sP19_iProver_def),
    inference(superposition,[status(thm)],[c_22221,c_9133]) ).

cnf(c_22585,plain,
    sP2_iProver_def(inverse(X0),sP19_iProver_def,X1) = sP1_iProver_def(X1,sP8_iProver_def(X0)),
    inference(superposition,[status(thm)],[c_22221,c_2739]) ).

cnf(c_22586,plain,
    multiply(inverse(X0),sP19_iProver_def) = sP8_iProver_def(X0),
    inference(superposition,[status(thm)],[c_22221,c_2725]) ).

cnf(c_22587,plain,
    sP2_iProver_def(X0,X1,sP8_iProver_def(multiply(X0,X1))) = sP19_iProver_def,
    inference(superposition,[status(thm)],[c_22221,c_326]) ).

cnf(c_22596,plain,
    sP1_iProver_def(sP19_iProver_def,X0) = X0,
    inference(superposition,[status(thm)],[c_22221,c_3354]) ).

cnf(c_22598,plain,
    multiply(sP19_iProver_def,sP8_iProver_def(sP8_iProver_def(X0))) = sP14_iProver_def(sP8_iProver_def(X0),sP19_iProver_def),
    inference(superposition,[status(thm)],[c_22221,c_11020]) ).

cnf(c_22601,plain,
    sP2_iProver_def(inverse(X0),X0,X1) = sP1_iProver_def(X1,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_22221,c_3357]) ).

cnf(c_22620,plain,
    sP8_iProver_def(sP8_iProver_def(X0)) = sP12_iProver_def(sP19_iProver_def,X0),
    inference(demodulation,[status(thm)],[c_22598,c_9012,c_19197]) ).

cnf(c_22622,plain,
    sP8_iProver_def(sP1_iProver_def(X0,sP19_iProver_def)) = sP8_iProver_def(X0),
    inference(demodulation,[status(thm)],[c_22579,c_18638,c_19097,c_19201,c_19203]) ).

cnf(c_22776,plain,
    multiply(inverse(X0),X0) = sP19_iProver_def,
    inference(superposition,[status(thm)],[c_22596,c_2725]) ).

cnf(c_22777,plain,
    sP2_iProver_def(X0,X1,sP19_iProver_def) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_22596,c_326]) ).

cnf(c_23047,plain,
    sP6_iProver_def(X0,X1,multiply(inverse(multiply(X0,X1)),X2)) = sP8_iProver_def(multiply(sP19_iProver_def,X2)),
    inference(demodulation,[status(thm)],[c_3381,c_19267,c_22587,c_22777]) ).

cnf(c_23057,plain,
    sP6_iProver_def(X0,X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),X4)),multiply(inverse(X3),multiply(inverse(X3),X3))))) = sP8_iProver_def(multiply(sP19_iProver_def,inverse(multiply(inverse(X4),multiply(inverse(X2),multiply(inverse(X2),X2)))))),
    inference(superposition,[status(thm)],[c_2641,c_23047]) ).

cnf(c_23204,plain,
    sP8_iProver_def(sP2_iProver_def(sP19_iProver_def,X0,X1)) = sP8_iProver_def(sP1_iProver_def(X1,X0)),
    inference(demodulation,[status(thm)],[c_23057,c_226,c_5944,c_7726,c_9012,c_19267,c_19548,c_22776]) ).

cnf(c_23285,plain,
    sP1_iProver_def(X0,sP19_iProver_def) = X0,
    inference(demodulation,[status(thm)],[c_3382,c_18605,c_19267,c_22587,c_22596,c_23204]) ).

cnf(c_23303,plain,
    sP2_iProver_def(inverse(sP19_iProver_def),X0,X1) = sP1_iProver_def(X1,X0),
    inference(superposition,[status(thm)],[c_23285,c_2739]) ).

cnf(c_23317,plain,
    sP8_iProver_def(sP2_iProver_def(X0,X1,sP19_iProver_def)) = sP3_iProver_def(X0,X1),
    inference(superposition,[status(thm)],[c_23285,c_3465]) ).

cnf(c_23328,plain,
    multiply(inverse(sP19_iProver_def),X0) = sP14_iProver_def(sP19_iProver_def,X0),
    inference(superposition,[status(thm)],[c_23285,c_16152]) ).

cnf(c_23331,plain,
    sP14_iProver_def(sP1_iProver_def(sP8_iProver_def(sP19_iProver_def),sP19_iProver_def),sP1_iProver_def(X0,sP8_iProver_def(sP19_iProver_def))) = X0,
    inference(superposition,[status(thm)],[c_23285,c_14273]) ).

cnf(c_23333,plain,
    multiply(sP19_iProver_def,X0) = X0,
    inference(superposition,[status(thm)],[c_23285,c_18576]) ).

cnf(c_23338,plain,
    multiply(sP19_iProver_def,X0) = sP14_iProver_def(sP19_iProver_def,X0),
    inference(demodulation,[status(thm)],[c_23328,c_18701]) ).

cnf(c_23341,plain,
    sP8_iProver_def(multiply(X0,X1)) = sP3_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_23317,c_22777]) ).

cnf(c_23342,plain,
    sP2_iProver_def(sP19_iProver_def,X0,X1) = sP1_iProver_def(X1,X0),
    inference(demodulation,[status(thm)],[c_23303,c_18701]) ).

cnf(c_23345,plain,
    sP14_iProver_def(sP19_iProver_def,X0) = X0,
    inference(demodulation,[status(thm)],[c_23331,c_18494,c_18523,c_18638,c_23285]) ).

cnf(c_23957,plain,
    sP6_iProver_def(inverse(X0),X1,sP8_iProver_def(X1)) = sP12_iProver_def(sP19_iProver_def,X0),
    inference(superposition,[status(thm)],[c_23333,c_9439]) ).

cnf(c_23958,plain,
    sP2_iProver_def(sP19_iProver_def,X0,sP8_iProver_def(X0)) = sP14_iProver_def(X0,X0),
    inference(superposition,[status(thm)],[c_23333,c_6038]) ).

cnf(c_23981,plain,
    multiply(inverse(multiply(sP19_iProver_def,X0)),X1) = sP14_iProver_def(X0,X1),
    inference(superposition,[status(thm)],[c_23333,c_4371]) ).

cnf(c_24017,plain,
    sP8_iProver_def(inverse(X0)) = X0,
    inference(superposition,[status(thm)],[c_23333,c_19548]) ).

cnf(c_24021,plain,
    sP14_iProver_def(X0,X0) = sP19_iProver_def,
    inference(demodulation,[status(thm)],[c_23958,c_22221,c_23342]) ).

cnf(c_24022,plain,
    multiply(inverse(X0),X1) = sP14_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_23981,c_23338,c_23345]) ).

cnf(c_24024,plain,
    sP6_iProver_def(inverse(X0),X1,sP8_iProver_def(X1)) = sP8_iProver_def(sP8_iProver_def(X0)),
    inference(demodulation,[status(thm)],[c_23957,c_22620]) ).

cnf(c_24071,plain,
    sP2_iProver_def(X0,sP19_iProver_def,X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_23345,c_5998]) ).

cnf(c_24087,plain,
    sP2_iProver_def(sP2_iProver_def(X0,X1,X2),X3,sP8_iProver_def(X3)) = sP11_iProver_def(X0,X1,X2,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_23345,c_7220]) ).

cnf(c_24093,plain,
    multiply(inverse(X0),sP19_iProver_def) = sP13_iProver_def(X0,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_23345,c_9328]) ).

cnf(c_24100,plain,
    sP13_iProver_def(X0,sP19_iProver_def) = sP8_iProver_def(X0),
    inference(demodulation,[status(thm)],[c_24093,c_22586]) ).

cnf(c_24104,plain,
    multiply(sP2_iProver_def(X0,X1,X2),sP19_iProver_def) = sP11_iProver_def(X0,X1,X2,sP19_iProver_def),
    inference(demodulation,[status(thm)],[c_24087,c_9103]) ).

cnf(c_24188,plain,
    sP8_iProver_def(sP2_iProver_def(X0,X1,X2)) = sP6_iProver_def(X0,X1,X2),
    inference(superposition,[status(thm)],[c_2873,c_24017]) ).

cnf(c_24203,plain,
    sP8_iProver_def(sP1_iProver_def(X0,X1)) = sP13_iProver_def(X1,X0),
    inference(superposition,[status(thm)],[c_11963,c_24017]) ).

cnf(c_24589,plain,
    sP3_iProver_def(inverse(sP19_iProver_def),sP8_iProver_def(X0)) = multiply(X0,sP19_iProver_def),
    inference(superposition,[status(thm)],[c_24021,c_9562]) ).

cnf(c_24623,plain,
    multiply(X0,sP19_iProver_def) = sP8_iProver_def(sP8_iProver_def(X0)),
    inference(demodulation,[status(thm)],[c_24589,c_18701,c_19203]) ).

cnf(c_25127,plain,
    sP2_iProver_def(inverse(sP1_iProver_def(X0,X1)),X1,X0) = sP19_iProver_def,
    inference(demodulation,[status(thm)],[c_3391,c_11963,c_19267,c_22221,c_23204,c_24203]) ).

cnf(c_25148,plain,
    sP2_iProver_def(inverse(X0),sP19_iProver_def,X0) = sP19_iProver_def,
    inference(superposition,[status(thm)],[c_23285,c_25127]) ).

cnf(c_25197,plain,
    sP1_iProver_def(X0,sP8_iProver_def(X0)) = sP19_iProver_def,
    inference(demodulation,[status(thm)],[c_25148,c_22585]) ).

cnf(c_25948,plain,
    sP1_iProver_def(X0,sP1_iProver_def(sP14_iProver_def(sP1_iProver_def(X1,X2),X3),X1)) = sP2_iProver_def(inverse(X2),X3,X0),
    inference(superposition,[status(thm)],[c_3462,c_5555]) ).

cnf(c_25954,plain,
    sP1_iProver_def(X0,sP14_iProver_def(X1,X2)) = sP2_iProver_def(inverse(X1),X2,X0),
    inference(demodulation,[status(thm)],[c_25948,c_7306,c_24022]) ).

cnf(c_25992,plain,
    inverse(sP8_iProver_def(X0)) = sP1_iProver_def(sP19_iProver_def,X0),
    inference(superposition,[status(thm)],[c_24100,c_11963]) ).

cnf(c_25995,plain,
    inverse(sP8_iProver_def(X0)) = X0,
    inference(demodulation,[status(thm)],[c_25992,c_22596]) ).

cnf(c_26255,plain,
    multiply(sP1_iProver_def(X0,sP19_iProver_def),sP19_iProver_def) = X0,
    inference(superposition,[status(thm)],[c_25197,c_19745]) ).

cnf(c_26263,plain,
    sP8_iProver_def(sP8_iProver_def(X0)) = X0,
    inference(demodulation,[status(thm)],[c_26255,c_22622,c_24623]) ).

cnf(c_26345,plain,
    inverse(X0) = sP8_iProver_def(X0),
    inference(superposition,[status(thm)],[c_26263,c_25995]) ).

cnf(c_26391,plain,
    multiply(multiply(X0,sP19_iProver_def),X1) = sP12_iProver_def(X0,X1),
    inference(superposition,[status(thm)],[c_26263,c_9125]) ).

cnf(c_26400,plain,
    multiply(X0,X1) = sP12_iProver_def(X0,X1),
    inference(demodulation,[status(thm)],[c_26391,c_24623,c_26263]) ).

cnf(c_27460,plain,
    sP11_iProver_def(X0,X1,X2,sP19_iProver_def) = sP2_iProver_def(X0,X1,X2),
    inference(demodulation,[status(thm)],[c_3526,c_18984,c_23341,c_24104,c_26345]) ).

cnf(c_27478,plain,
    sP12_iProver_def(sP2_iProver_def(X0,X1,X2),sP4_iProver_def(X0,X2,X1,X3)) = X3,
    inference(demodulation,[status(thm)],[c_3529,c_3613,c_26400]) ).

cnf(c_28093,plain,
    sP8_iProver_def(sP14_iProver_def(sP1_iProver_def(X0,X1),sP1_iProver_def(sP8_iProver_def(X1),X1))) = inverse(multiply(inverse(X0),sP8_iProver_def(X1))),
    inference(superposition,[status(thm)],[c_26345,c_7047]) ).

cnf(c_28106,plain,
    sP8_iProver_def(sP13_iProver_def(X0,X1)) = sP1_iProver_def(X1,X0),
    inference(superposition,[status(thm)],[c_26345,c_11963]) ).

cnf(c_28142,plain,
    sP3_iProver_def(sP8_iProver_def(X0),sP8_iProver_def(X1)) = sP8_iProver_def(sP13_iProver_def(X1,X0)),
    inference(demodulation,[status(thm)],[c_28093,c_7094,c_19267,c_23204,c_23341,c_24203,c_26345]) ).

cnf(c_28568,plain,
    sP12_iProver_def(sP2_iProver_def(X0,X1,X2),sP19_iProver_def) = sP2_iProver_def(X0,X1,X2),
    inference(demodulation,[status(thm)],[c_3553,c_5936,c_9559,c_23341,c_24021,c_24104,c_26400,c_27460]) ).

cnf(c_28592,plain,
    sP12_iProver_def(X0,sP19_iProver_def) = X0,
    inference(superposition,[status(thm)],[c_9014,c_28568]) ).

cnf(c_29348,plain,
    sP14_iProver_def(sP2_iProver_def(X0,X1,X2),sP14_iProver_def(sP12_iProver_def(sP2_iProver_def(X3,X4,X5),sP6_iProver_def(X0,X1,X2)),X6)) = sP4_iProver_def(X3,X5,X4,X6),
    inference(demodulation,[status(thm)],[c_3564,c_3553,c_3591,c_9559,c_9667,c_22596,c_23341,c_24104,c_25954,c_26345,c_26400,c_27460]) ).

cnf(c_29428,plain,
    sP14_iProver_def(sP2_iProver_def(sP19_iProver_def,X0,sP8_iProver_def(X0)),sP14_iProver_def(sP12_iProver_def(sP2_iProver_def(X1,X2,X3),sP19_iProver_def),X4)) = sP4_iProver_def(X1,X3,X2,X4),
    inference(superposition,[status(thm)],[c_19205,c_29348]) ).

cnf(c_29441,plain,
    sP14_iProver_def(sP2_iProver_def(X0,X1,X2),X3) = sP4_iProver_def(X0,X2,X1,X3),
    inference(demodulation,[status(thm)],[c_29428,c_22221,c_23342,c_23345,c_28568]) ).

cnf(c_29707,plain,
    sP2_iProver_def(X0,X1,sP1_iProver_def(sP16_iProver_def(sP4_iProver_def(sP3_iProver_def(X0,X1),X2,X3,X4),sP1_iProver_def(X2,sP14_iProver_def(sP12_iProver_def(X5,X6),X3)),X7),X4)) = sP2_iProver_def(X5,X6,X7),
    inference(demodulation,[status(thm)],[c_3566,c_3681,c_7735,c_23341,c_24022,c_25954,c_26345,c_26400,c_29441]) ).

cnf(c_29763,plain,
    sP2_iProver_def(X0,X1,sP1_iProver_def(sP16_iProver_def(sP4_iProver_def(sP3_iProver_def(X0,X1),X2,X3,X4),sP1_iProver_def(X2,sP14_iProver_def(X5,X3)),X6),X4)) = sP2_iProver_def(sP2_iProver_def(X7,X8,X9),sP4_iProver_def(X7,X9,X8,X5),X6),
    inference(superposition,[status(thm)],[c_27478,c_29707]) ).

cnf(c_29883,plain,
    sP2_iProver_def(X0,X1,sP1_iProver_def(sP16_iProver_def(sP4_iProver_def(sP3_iProver_def(X0,X1),X2,X3,X4),sP1_iProver_def(X2,sP14_iProver_def(X5,X3)),X6),X4)) = sP1_iProver_def(X6,X5),
    inference(demodulation,[status(thm)],[c_29763,c_2791]) ).

cnf(c_31408,plain,
    sP2_iProver_def(X0,X1,sP1_iProver_def(sP16_iProver_def(sP4_iProver_def(sP3_iProver_def(X0,X1),X2,X3,X4),sP1_iProver_def(X2,sP14_iProver_def(X5,X3)),X6),X4)) = sP2_iProver_def(X5,sP19_iProver_def,X6),
    inference(superposition,[status(thm)],[c_28592,c_29707]) ).

cnf(c_31415,plain,
    sP1_iProver_def(X0,X1) = sP12_iProver_def(X1,X0),
    inference(demodulation,[status(thm)],[c_31408,c_24071,c_26400,c_29883]) ).

cnf(c_35211,plain,
    sP1_iProver_def(sP3_iProver_def(sP8_iProver_def(X0),sP2_iProver_def(X1,X2,X3)),X4) = sP2_iProver_def(X4,sP6_iProver_def(X1,X2,X3),X0),
    inference(demodulation,[status(thm)],[c_3616,c_3553,c_3591,c_9559,c_23341,c_24104,c_26345,c_26400,c_27460,c_31415]) ).

cnf(c_35248,plain,
    sP1_iProver_def(sP3_iProver_def(sP8_iProver_def(X0),sP3_iProver_def(X1,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),sP8_iProver_def(X2))))),X4) = sP2_iProver_def(X4,sP6_iProver_def(inverse(X3),X5,sP8_iProver_def(X5)),X0),
    inference(superposition,[status(thm)],[c_4675,c_35211]) ).

cnf(c_35354,plain,
    sP1_iProver_def(sP1_iProver_def(X0,X1),X2) = sP2_iProver_def(X2,X1,X0),
    inference(demodulation,[status(thm)],[c_35248,c_9685,c_19203,c_22586,c_23047,c_23341,c_24024,c_24188,c_26263,c_28106,c_28142]) ).

cnf(c_38366,plain,
    multiply(X0,X1) = sP1_iProver_def(X1,X0),
    inference(demodulation,[status(thm)],[c_26400,c_31415]) ).

cnf(c_38470,plain,
    ( multiply(multiply(inverse(b2),b2),a2) != a2
    | multiply(a3,multiply(b3,c3)) != sP1_iProver_def(c3,multiply(a3,b3))
    | multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
    inference(superposition,[status(thm)],[c_38366,c_50]) ).

cnf(c_38758,plain,
    ( sP2_iProver_def(a3,b3,c3) != sP2_iProver_def(a3,b3,c3)
    | a2 != a2
    | sP19_iProver_def != sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_38470,c_326,c_22601,c_22776,c_23285,c_35354,c_38366]) ).

cnf(c_38759,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_38758]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP050-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 23:46:50 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 25.02/4.18  % SZS status Started for theBenchmark.p
% 25.02/4.18  % SZS status Unsatisfiable for theBenchmark.p
% 25.02/4.18  
% 25.02/4.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 25.02/4.18  
% 25.02/4.18  ------  iProver source info
% 25.02/4.18  
% 25.02/4.18  git: date: 2024-05-02 19:28:25 +0000
% 25.02/4.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 25.02/4.18  git: non_committed_changes: false
% 25.02/4.18  
% 25.02/4.18  ------ Parsing...successful
% 25.02/4.18  
% 25.02/4.18  
% 25.02/4.18  
% 25.02/4.18  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 25.02/4.18  
% 25.02/4.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 25.02/4.18  
% 25.02/4.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 25.02/4.18  ------ Proving...
% 25.02/4.18  ------ Problem Properties 
% 25.02/4.18  
% 25.02/4.18  
% 25.02/4.18  clauses                                 2
% 25.02/4.18  conjectures                             1
% 25.02/4.18  EPR                                     0
% 25.02/4.18  Horn                                    2
% 25.02/4.18  unary                                   1
% 25.02/4.18  binary                                  0
% 25.02/4.18  lits                                    4
% 25.02/4.18  lits eq                                 4
% 25.02/4.18  fd_pure                                 0
% 25.02/4.18  fd_pseudo                               0
% 25.02/4.18  fd_cond                                 0
% 25.02/4.18  fd_pseudo_cond                          0
% 25.02/4.18  AC symbols                              0
% 25.02/4.18  
% 25.02/4.18  ------ Input Options Time Limit: Unbounded
% 25.02/4.18  
% 25.02/4.18  
% 25.02/4.18  ------ 
% 25.02/4.18  Current options:
% 25.02/4.18  ------ 
% 25.02/4.18  
% 25.02/4.18  
% 25.02/4.18  
% 25.02/4.18  
% 25.02/4.18  ------ Proving...
% 25.02/4.18  
% 25.02/4.18  
% 25.02/4.18  % SZS status Unsatisfiable for theBenchmark.p
% 25.02/4.18  
% 25.02/4.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.02/4.18  
% 25.02/4.19  
%------------------------------------------------------------------------------