TSTP Solution File: RNG009-7 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG009-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 02:57:14 EDT 2024
% Result : Unsatisfiable 244.18s 31.64s
% Output : CNFRefutation 244.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,multiply(X0,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_cubed_is_x) ).
cnf(c_50,negated_conjecture,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
cnf(c_51,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity) ).
cnf(c_53,plain,
add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',right_additive_identity) ).
cnf(c_55,plain,
add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',right_additive_inverse) ).
cnf(c_56,plain,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',associativity_for_addition) ).
cnf(c_57,plain,
add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',commutativity_for_addition) ).
cnf(c_58,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',associativity_for_multiplication) ).
cnf(c_59,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',distribute1) ).
cnf(c_60,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',distribute2) ).
cnf(c_121,plain,
multiply(b,a) = sP0_iProver_def,
definition ).
cnf(c_122,plain,
multiply(a,b) = sP1_iProver_def,
definition ).
cnf(c_123,negated_conjecture,
sP0_iProver_def != c,
inference(demodulation,[status(thm)],[c_51,c_121]) ).
cnf(c_124,negated_conjecture,
sP1_iProver_def = c,
inference(demodulation,[status(thm)],[c_50,c_122]) ).
cnf(c_175,plain,
add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_56,c_57]) ).
cnf(c_178,plain,
sP0_iProver_def != sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_123,c_124]) ).
cnf(c_179,plain,
add(additive_identity,X0) = X0,
inference(superposition,[status(thm)],[c_53,c_57]) ).
cnf(c_186,plain,
add(X0,add(X1,additive_inverse(X0))) = add(X1,additive_identity),
inference(superposition,[status(thm)],[c_55,c_175]) ).
cnf(c_194,plain,
add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
inference(superposition,[status(thm)],[c_56,c_55]) ).
cnf(c_198,plain,
multiply(X0,multiply(multiply(X0,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_49,c_58]) ).
cnf(c_199,plain,
multiply(a,multiply(b,X0)) = multiply(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_122,c_58]) ).
cnf(c_200,plain,
multiply(b,multiply(a,X0)) = multiply(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_121,c_58]) ).
cnf(c_201,plain,
multiply(multiply(X0,X1),multiply(X0,multiply(X1,multiply(X0,X1)))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_58,c_49]) ).
cnf(c_210,plain,
multiply(X0,add(multiply(X0,X0),X1)) = add(X0,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_49,c_59]) ).
cnf(c_211,plain,
multiply(a,add(b,X0)) = add(sP1_iProver_def,multiply(a,X0)),
inference(superposition,[status(thm)],[c_122,c_59]) ).
cnf(c_212,plain,
multiply(b,add(a,X0)) = add(sP0_iProver_def,multiply(b,X0)),
inference(superposition,[status(thm)],[c_121,c_59]) ).
cnf(c_214,plain,
multiply(X0,add(X1,multiply(X0,X0))) = add(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[c_49,c_59]) ).
cnf(c_215,plain,
multiply(a,add(X0,b)) = add(multiply(a,X0),sP1_iProver_def),
inference(superposition,[status(thm)],[c_122,c_59]) ).
cnf(c_216,plain,
multiply(b,add(X0,a)) = add(multiply(b,X0),sP0_iProver_def),
inference(superposition,[status(thm)],[c_121,c_59]) ).
cnf(c_223,plain,
multiply(b,add(X0,a)) = add(sP0_iProver_def,multiply(b,X0)),
inference(theory_normalisation,[status(thm)],[c_216,c_56,c_57]) ).
cnf(c_224,plain,
multiply(a,add(X0,b)) = add(sP1_iProver_def,multiply(a,X0)),
inference(theory_normalisation,[status(thm)],[c_215,c_56,c_57]) ).
cnf(c_225,plain,
multiply(X0,add(X1,multiply(X0,X0))) = add(X0,multiply(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_214,c_56,c_57]) ).
cnf(c_245,plain,
multiply(add(a,X0),b) = add(sP1_iProver_def,multiply(X0,b)),
inference(superposition,[status(thm)],[c_122,c_60]) ).
cnf(c_246,plain,
multiply(add(b,X0),a) = add(sP0_iProver_def,multiply(X0,a)),
inference(superposition,[status(thm)],[c_121,c_60]) ).
cnf(c_247,plain,
add(multiply(X0,multiply(X1,X2)),multiply(X3,X2)) = multiply(add(multiply(X0,X1),X3),X2),
inference(superposition,[status(thm)],[c_58,c_60]) ).
cnf(c_249,plain,
multiply(add(X0,a),b) = add(multiply(X0,b),sP1_iProver_def),
inference(superposition,[status(thm)],[c_122,c_60]) ).
cnf(c_250,plain,
multiply(add(X0,b),a) = add(multiply(X0,a),sP0_iProver_def),
inference(superposition,[status(thm)],[c_121,c_60]) ).
cnf(c_256,plain,
multiply(add(X0,X0),X1) = multiply(X0,add(X1,X1)),
inference(superposition,[status(thm)],[c_60,c_59]) ).
cnf(c_258,plain,
multiply(add(X0,b),a) = add(sP0_iProver_def,multiply(X0,a)),
inference(theory_normalisation,[status(thm)],[c_250,c_56,c_57]) ).
cnf(c_259,plain,
multiply(add(X0,a),b) = add(sP1_iProver_def,multiply(X0,b)),
inference(theory_normalisation,[status(thm)],[c_249,c_56,c_57]) ).
cnf(c_295,plain,
additive_inverse(additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_179,c_55]) ).
cnf(c_308,plain,
multiply(sP1_iProver_def,multiply(b,b)) = multiply(a,b),
inference(superposition,[status(thm)],[c_49,c_199]) ).
cnf(c_309,plain,
multiply(a,sP0_iProver_def) = multiply(sP1_iProver_def,a),
inference(superposition,[status(thm)],[c_121,c_199]) ).
cnf(c_315,plain,
multiply(sP1_iProver_def,multiply(b,b)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_308,c_122]) ).
cnf(c_346,plain,
multiply(sP1_iProver_def,add(multiply(b,b),X0)) = add(sP1_iProver_def,multiply(sP1_iProver_def,X0)),
inference(superposition,[status(thm)],[c_315,c_59]) ).
cnf(c_367,plain,
multiply(sP0_iProver_def,multiply(a,a)) = multiply(b,a),
inference(superposition,[status(thm)],[c_49,c_200]) ).
cnf(c_368,plain,
multiply(b,sP1_iProver_def) = multiply(sP0_iProver_def,b),
inference(superposition,[status(thm)],[c_122,c_200]) ).
cnf(c_369,plain,
multiply(b,multiply(sP1_iProver_def,X0)) = multiply(sP0_iProver_def,multiply(b,X0)),
inference(superposition,[status(thm)],[c_199,c_200]) ).
cnf(c_370,plain,
multiply(b,multiply(sP1_iProver_def,a)) = multiply(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_309,c_200]) ).
cnf(c_376,plain,
multiply(a,multiply(sP0_iProver_def,X0)) = multiply(sP1_iProver_def,multiply(a,X0)),
inference(superposition,[status(thm)],[c_200,c_199]) ).
cnf(c_377,plain,
multiply(sP0_iProver_def,multiply(a,a)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_367,c_121]) ).
cnf(c_430,plain,
multiply(sP0_iProver_def,add(multiply(a,a),X0)) = add(sP0_iProver_def,multiply(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_377,c_59]) ).
cnf(c_455,plain,
multiply(X0,multiply(X0,multiply(X0,X1))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_198,c_58]) ).
cnf(c_457,plain,
multiply(multiply(X0,X1),multiply(X0,multiply(X1,multiply(multiply(X0,X1),X2)))) = multiply(multiply(X0,X1),X2),
inference(superposition,[status(thm)],[c_58,c_455]) ).
cnf(c_458,plain,
multiply(a,multiply(a,sP1_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_122,c_455]) ).
cnf(c_459,plain,
multiply(b,multiply(b,sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_121,c_455]) ).
cnf(c_461,plain,
multiply(a,multiply(a,multiply(sP1_iProver_def,X0))) = multiply(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_199,c_455]) ).
cnf(c_462,plain,
multiply(b,multiply(b,multiply(sP0_iProver_def,X0))) = multiply(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_200,c_455]) ).
cnf(c_473,plain,
multiply(sP1_iProver_def,multiply(b,multiply(b,X0))) = multiply(a,multiply(b,X0)),
inference(superposition,[status(thm)],[c_455,c_199]) ).
cnf(c_474,plain,
multiply(sP0_iProver_def,multiply(a,multiply(a,X0))) = multiply(b,multiply(a,X0)),
inference(superposition,[status(thm)],[c_455,c_200]) ).
cnf(c_475,plain,
multiply(sP0_iProver_def,multiply(a,multiply(a,X0))) = multiply(sP0_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_474,c_200]) ).
cnf(c_476,plain,
multiply(sP1_iProver_def,multiply(b,multiply(b,X0))) = multiply(sP1_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_473,c_199]) ).
cnf(c_510,plain,
multiply(a,add(multiply(a,sP1_iProver_def),X0)) = add(sP1_iProver_def,multiply(a,X0)),
inference(superposition,[status(thm)],[c_458,c_59]) ).
cnf(c_518,plain,
multiply(a,add(multiply(a,sP1_iProver_def),X0)) = multiply(a,add(b,X0)),
inference(light_normalisation,[status(thm)],[c_510,c_211]) ).
cnf(c_530,plain,
multiply(sP1_iProver_def,multiply(b,sP0_iProver_def)) = multiply(a,sP0_iProver_def),
inference(superposition,[status(thm)],[c_459,c_199]) ).
cnf(c_531,plain,
multiply(sP1_iProver_def,multiply(b,sP0_iProver_def)) = multiply(sP1_iProver_def,a),
inference(light_normalisation,[status(thm)],[c_530,c_309]) ).
cnf(c_570,plain,
add(X0,add(X1,additive_inverse(X0))) = X1,
inference(demodulation,[status(thm)],[c_186,c_53]) ).
cnf(c_579,plain,
add(X0,add(additive_inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_57,c_570]) ).
cnf(c_600,plain,
add(X0,additive_identity) = additive_inverse(additive_inverse(X0)),
inference(superposition,[status(thm)],[c_55,c_579]) ).
cnf(c_617,plain,
additive_inverse(additive_inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_600,c_53]) ).
cnf(c_731,plain,
add(X0,additive_inverse(add(additive_inverse(X1),X0))) = add(X1,additive_identity),
inference(superposition,[status(thm)],[c_194,c_579]) ).
cnf(c_768,plain,
multiply(a,add(b,b)) = add(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_122,c_211]) ).
cnf(c_769,plain,
multiply(a,add(b,multiply(b,X0))) = add(sP1_iProver_def,multiply(sP1_iProver_def,X0)),
inference(superposition,[status(thm)],[c_199,c_211]) ).
cnf(c_847,plain,
multiply(a,multiply(add(b,b),X0)) = multiply(add(sP1_iProver_def,sP1_iProver_def),X0),
inference(superposition,[status(thm)],[c_768,c_58]) ).
cnf(c_869,plain,
multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_201,c_58]) ).
cnf(c_912,plain,
multiply(sP0_iProver_def,multiply(X0,multiply(a,multiply(X0,multiply(a,X0))))) = multiply(b,multiply(a,X0)),
inference(superposition,[status(thm)],[c_869,c_200]) ).
cnf(c_932,plain,
multiply(sP0_iProver_def,multiply(X0,multiply(a,multiply(X0,multiply(a,X0))))) = multiply(sP0_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_912,c_200]) ).
cnf(c_1033,plain,
multiply(b,add(a,multiply(a,X0))) = add(sP0_iProver_def,multiply(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_200,c_212]) ).
cnf(c_1253,plain,
multiply(a,multiply(add(b,b),X0)) = multiply(sP1_iProver_def,add(X0,X0)),
inference(superposition,[status(thm)],[c_256,c_199]) ).
cnf(c_1687,plain,
multiply(sP1_iProver_def,multiply(b,multiply(sP0_iProver_def,X0))) = multiply(a,multiply(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_462,c_199]) ).
cnf(c_1688,plain,
multiply(sP1_iProver_def,multiply(b,multiply(sP0_iProver_def,X0))) = multiply(sP1_iProver_def,multiply(a,X0)),
inference(light_normalisation,[status(thm)],[c_1687,c_376]) ).
cnf(c_1810,plain,
add(X0,additive_inverse(add(additive_inverse(X1),X0))) = X1,
inference(demodulation,[status(thm)],[c_731,c_53]) ).
cnf(c_1816,plain,
add(X0,additive_inverse(add(X0,additive_inverse(X1)))) = X1,
inference(superposition,[status(thm)],[c_57,c_1810]) ).
cnf(c_1824,plain,
add(X0,additive_inverse(add(X1,X0))) = additive_inverse(X1),
inference(superposition,[status(thm)],[c_617,c_1810]) ).
cnf(c_1899,plain,
add(X0,additive_inverse(add(X0,X1))) = additive_inverse(X1),
inference(superposition,[status(thm)],[c_617,c_1816]) ).
cnf(c_1927,plain,
add(multiply(X0,X1),additive_inverse(multiply(X0,add(X2,X1)))) = additive_inverse(multiply(X0,X2)),
inference(superposition,[status(thm)],[c_59,c_1824]) ).
cnf(c_1928,plain,
add(multiply(X0,X1),additive_inverse(multiply(add(X2,X0),X1))) = additive_inverse(multiply(X2,X1)),
inference(superposition,[status(thm)],[c_60,c_1824]) ).
cnf(c_2013,plain,
multiply(X0,multiply(X0,X0)) = add(X0,multiply(X0,additive_identity)),
inference(superposition,[status(thm)],[c_53,c_210]) ).
cnf(c_2014,plain,
add(X0,multiply(X0,additive_inverse(multiply(X0,X0)))) = multiply(X0,additive_identity),
inference(superposition,[status(thm)],[c_55,c_210]) ).
cnf(c_2047,plain,
add(X0,multiply(X0,additive_identity)) = X0,
inference(light_normalisation,[status(thm)],[c_2013,c_49]) ).
cnf(c_2164,plain,
add(X0,additive_inverse(X0)) = multiply(additive_inverse(X0),additive_identity),
inference(superposition,[status(thm)],[c_2047,c_579]) ).
cnf(c_2166,plain,
multiply(additive_inverse(X0),additive_identity) = additive_identity,
inference(light_normalisation,[status(thm)],[c_2164,c_55]) ).
cnf(c_2245,plain,
multiply(X0,additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_617,c_2166]) ).
cnf(c_2264,plain,
multiply(X0,add(additive_identity,X1)) = add(additive_identity,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_2245,c_59]) ).
cnf(c_2273,plain,
multiply(a,additive_identity) = multiply(sP1_iProver_def,additive_identity),
inference(superposition,[status(thm)],[c_2245,c_199]) ).
cnf(c_2278,plain,
multiply(b,additive_identity) = multiply(sP0_iProver_def,additive_identity),
inference(superposition,[status(thm)],[c_2245,c_200]) ).
cnf(c_2345,plain,
add(sP1_iProver_def,additive_inverse(multiply(a,add(X0,b)))) = additive_inverse(multiply(a,X0)),
inference(superposition,[status(thm)],[c_224,c_1899]) ).
cnf(c_2346,plain,
add(sP1_iProver_def,additive_inverse(multiply(a,add(b,X0)))) = additive_inverse(multiply(a,X0)),
inference(superposition,[status(thm)],[c_211,c_1899]) ).
cnf(c_2347,plain,
add(sP0_iProver_def,additive_inverse(multiply(b,add(X0,a)))) = additive_inverse(multiply(b,X0)),
inference(superposition,[status(thm)],[c_223,c_1899]) ).
cnf(c_2348,plain,
add(sP0_iProver_def,additive_inverse(multiply(b,add(a,X0)))) = additive_inverse(multiply(b,X0)),
inference(superposition,[status(thm)],[c_212,c_1899]) ).
cnf(c_2349,plain,
add(sP1_iProver_def,additive_inverse(multiply(add(X0,a),b))) = additive_inverse(multiply(X0,b)),
inference(superposition,[status(thm)],[c_259,c_1899]) ).
cnf(c_2350,plain,
add(sP1_iProver_def,additive_inverse(multiply(add(a,X0),b))) = additive_inverse(multiply(X0,b)),
inference(superposition,[status(thm)],[c_245,c_1899]) ).
cnf(c_2351,plain,
add(sP0_iProver_def,additive_inverse(multiply(add(X0,b),a))) = additive_inverse(multiply(X0,a)),
inference(superposition,[status(thm)],[c_258,c_1899]) ).
cnf(c_2352,plain,
add(sP0_iProver_def,additive_inverse(multiply(add(b,X0),a))) = additive_inverse(multiply(X0,a)),
inference(superposition,[status(thm)],[c_246,c_1899]) ).
cnf(c_3295,plain,
add(X0,multiply(X0,additive_inverse(multiply(X0,X0)))) = additive_identity,
inference(light_normalisation,[status(thm)],[c_2014,c_2245]) ).
cnf(c_3304,plain,
additive_inverse(multiply(X0,additive_inverse(multiply(X0,X0)))) = add(X0,additive_inverse(additive_identity)),
inference(superposition,[status(thm)],[c_3295,c_1899]) ).
cnf(c_3317,plain,
additive_inverse(multiply(X0,additive_inverse(multiply(X0,X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_3304,c_53,c_295]) ).
cnf(c_3364,plain,
multiply(X0,additive_inverse(multiply(X0,X0))) = additive_inverse(X0),
inference(superposition,[status(thm)],[c_3317,c_617]) ).
cnf(c_3423,plain,
multiply(X0,multiply(X0,additive_inverse(X0))) = additive_inverse(X0),
inference(superposition,[status(thm)],[c_3364,c_455]) ).
cnf(c_3426,plain,
multiply(X0,multiply(additive_inverse(multiply(X0,X0)),X1)) = multiply(additive_inverse(X0),X1),
inference(superposition,[status(thm)],[c_3364,c_58]) ).
cnf(c_3431,plain,
multiply(a,multiply(a,additive_inverse(sP1_iProver_def))) = additive_inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_3364,c_461]) ).
cnf(c_3433,plain,
multiply(sP1_iProver_def,multiply(b,additive_inverse(b))) = multiply(sP1_iProver_def,additive_inverse(multiply(b,b))),
inference(superposition,[status(thm)],[c_3364,c_476]) ).
cnf(c_3439,plain,
multiply(sP0_iProver_def,multiply(a,additive_inverse(a))) = multiply(sP0_iProver_def,additive_inverse(multiply(a,a))),
inference(superposition,[status(thm)],[c_3364,c_475]) ).
cnf(c_3507,plain,
multiply(additive_inverse(X0),multiply(additive_inverse(X0),X0)) = X0,
inference(superposition,[status(thm)],[c_617,c_3423]) ).
cnf(c_3524,plain,
multiply(sP1_iProver_def,multiply(b,additive_inverse(b))) = multiply(a,additive_inverse(b)),
inference(superposition,[status(thm)],[c_3423,c_199]) ).
cnf(c_3529,plain,
multiply(sP0_iProver_def,multiply(a,additive_inverse(a))) = multiply(b,additive_inverse(a)),
inference(superposition,[status(thm)],[c_3423,c_200]) ).
cnf(c_4675,plain,
multiply(X0,multiply(add(X1,X0),X0)) = add(X0,multiply(X0,multiply(X1,X0))),
inference(superposition,[status(thm)],[c_60,c_225]) ).
cnf(c_5768,plain,
multiply(sP0_iProver_def,multiply(b,multiply(b,additive_inverse(b)))) = multiply(b,multiply(a,additive_inverse(b))),
inference(superposition,[status(thm)],[c_3524,c_369]) ).
cnf(c_5877,plain,
multiply(add(multiply(X0,X0),X1),X0) = add(X0,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_247]) ).
cnf(c_5884,plain,
multiply(add(multiply(sP0_iProver_def,a),X0),a) = add(sP0_iProver_def,multiply(X0,a)),
inference(superposition,[status(thm)],[c_377,c_247]) ).
cnf(c_5888,plain,
multiply(add(multiply(b,b),X0),sP0_iProver_def) = add(sP0_iProver_def,multiply(X0,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_459,c_247]) ).
cnf(c_6018,plain,
multiply(add(multiply(sP0_iProver_def,a),X0),a) = multiply(add(b,X0),a),
inference(light_normalisation,[status(thm)],[c_5884,c_246]) ).
cnf(c_6554,plain,
multiply(sP1_iProver_def,multiply(b,b)) = add(sP1_iProver_def,multiply(sP1_iProver_def,additive_identity)),
inference(superposition,[status(thm)],[c_53,c_346]) ).
cnf(c_6555,plain,
add(sP1_iProver_def,multiply(sP1_iProver_def,additive_inverse(multiply(b,b)))) = multiply(sP1_iProver_def,additive_identity),
inference(superposition,[status(thm)],[c_55,c_346]) ).
cnf(c_6590,plain,
add(sP1_iProver_def,multiply(sP1_iProver_def,additive_identity)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_6554,c_315]) ).
cnf(c_6591,plain,
add(sP1_iProver_def,multiply(a,additive_inverse(b))) = multiply(sP1_iProver_def,additive_identity),
inference(light_normalisation,[status(thm)],[c_6555,c_3433,c_3524]) ).
cnf(c_7889,plain,
multiply(sP0_iProver_def,multiply(a,a)) = add(sP0_iProver_def,multiply(sP0_iProver_def,additive_identity)),
inference(superposition,[status(thm)],[c_53,c_430]) ).
cnf(c_7890,plain,
add(sP0_iProver_def,multiply(sP0_iProver_def,additive_inverse(multiply(a,a)))) = multiply(sP0_iProver_def,additive_identity),
inference(superposition,[status(thm)],[c_55,c_430]) ).
cnf(c_7929,plain,
add(sP0_iProver_def,multiply(sP0_iProver_def,additive_identity)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_7889,c_377]) ).
cnf(c_7930,plain,
add(sP0_iProver_def,multiply(b,additive_inverse(a))) = multiply(sP0_iProver_def,additive_identity),
inference(light_normalisation,[status(thm)],[c_7890,c_3439,c_3529]) ).
cnf(c_9172,plain,
multiply(a,add(b,additive_inverse(multiply(a,sP1_iProver_def)))) = multiply(a,additive_identity),
inference(superposition,[status(thm)],[c_55,c_518]) ).
cnf(c_9218,plain,
multiply(a,add(b,additive_inverse(multiply(a,sP1_iProver_def)))) = multiply(sP1_iProver_def,additive_identity),
inference(light_normalisation,[status(thm)],[c_9172,c_2273]) ).
cnf(c_9442,plain,
multiply(a,add(b,additive_inverse(multiply(a,sP1_iProver_def)))) = additive_identity,
inference(demodulation,[status(thm)],[c_9218,c_2245]) ).
cnf(c_9462,plain,
multiply(sP0_iProver_def,add(b,additive_inverse(multiply(a,sP1_iProver_def)))) = multiply(b,additive_identity),
inference(superposition,[status(thm)],[c_9442,c_200]) ).
cnf(c_9467,plain,
multiply(sP0_iProver_def,add(b,additive_inverse(multiply(a,sP1_iProver_def)))) = multiply(sP0_iProver_def,additive_identity),
inference(light_normalisation,[status(thm)],[c_9462,c_2278]) ).
cnf(c_9560,plain,
multiply(sP0_iProver_def,add(b,additive_inverse(multiply(a,sP1_iProver_def)))) = additive_identity,
inference(demodulation,[status(thm)],[c_9467,c_2245]) ).
cnf(c_9568,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,additive_identity)) = additive_identity,
inference(superposition,[status(thm)],[c_9560,c_455]) ).
cnf(c_11105,plain,
add(sP1_iProver_def,multiply(sP1_iProver_def,multiply(b,additive_inverse(b)))) = multiply(a,add(b,additive_inverse(b))),
inference(superposition,[status(thm)],[c_3423,c_769]) ).
cnf(c_11141,plain,
multiply(a,add(b,additive_inverse(b))) = multiply(sP1_iProver_def,additive_identity),
inference(light_normalisation,[status(thm)],[c_11105,c_3524,c_6591]) ).
cnf(c_11402,plain,
add(sP0_iProver_def,multiply(sP0_iProver_def,multiply(a,additive_inverse(a)))) = multiply(b,add(a,additive_inverse(a))),
inference(superposition,[status(thm)],[c_3423,c_1033]) ).
cnf(c_11439,plain,
multiply(b,add(a,additive_inverse(a))) = multiply(sP0_iProver_def,additive_identity),
inference(light_normalisation,[status(thm)],[c_11402,c_3529,c_7930]) ).
cnf(c_11682,plain,
multiply(sP1_iProver_def,add(X0,X0)) = multiply(add(sP1_iProver_def,sP1_iProver_def),X0),
inference(superposition,[status(thm)],[c_1253,c_847]) ).
cnf(c_12458,plain,
multiply(sP1_iProver_def,add(additive_identity,additive_identity)) = additive_identity,
inference(superposition,[status(thm)],[c_11682,c_2245]) ).
cnf(c_15078,plain,
add(sP1_iProver_def,additive_inverse(multiply(a,b))) = additive_inverse(multiply(a,additive_identity)),
inference(superposition,[status(thm)],[c_179,c_2345]) ).
cnf(c_15095,plain,
add(sP1_iProver_def,additive_inverse(sP1_iProver_def)) = additive_inverse(multiply(sP1_iProver_def,additive_identity)),
inference(light_normalisation,[status(thm)],[c_15078,c_122,c_2273]) ).
cnf(c_15947,plain,
add(sP1_iProver_def,additive_inverse(multiply(a,additive_identity))) = additive_inverse(multiply(a,additive_inverse(b))),
inference(superposition,[status(thm)],[c_55,c_2346]) ).
cnf(c_15982,plain,
add(sP1_iProver_def,add(sP1_iProver_def,additive_inverse(sP1_iProver_def))) = additive_inverse(multiply(a,additive_inverse(b))),
inference(light_normalisation,[status(thm)],[c_15947,c_2273,c_15095]) ).
cnf(c_16493,plain,
additive_inverse(multiply(a,additive_inverse(b))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_15982,c_570]) ).
cnf(c_16500,plain,
multiply(a,additive_inverse(b)) = additive_inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_16493,c_617]) ).
cnf(c_16515,plain,
multiply(sP1_iProver_def,multiply(b,additive_inverse(b))) = additive_inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_3524,c_16500]) ).
cnf(c_16542,plain,
multiply(a,multiply(additive_inverse(b),X0)) = multiply(additive_inverse(sP1_iProver_def),X0),
inference(superposition,[status(thm)],[c_16500,c_58]) ).
cnf(c_16552,plain,
multiply(a,add(b,additive_inverse(b))) = add(sP1_iProver_def,additive_inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_16500,c_211]) ).
cnf(c_16553,plain,
multiply(b,additive_inverse(sP1_iProver_def)) = multiply(sP0_iProver_def,additive_inverse(b)),
inference(superposition,[status(thm)],[c_16500,c_200]) ).
cnf(c_16559,plain,
add(sP1_iProver_def,additive_inverse(sP1_iProver_def)) = multiply(sP1_iProver_def,additive_identity),
inference(light_normalisation,[status(thm)],[c_16552,c_11141]) ).
cnf(c_17257,plain,
multiply(sP1_iProver_def,multiply(multiply(b,additive_inverse(b)),X0)) = multiply(additive_inverse(sP1_iProver_def),X0),
inference(superposition,[status(thm)],[c_16515,c_58]) ).
cnf(c_17266,plain,
multiply(sP0_iProver_def,multiply(b,multiply(b,additive_inverse(b)))) = multiply(b,additive_inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_16515,c_369]) ).
cnf(c_17273,plain,
multiply(sP0_iProver_def,multiply(b,multiply(b,additive_inverse(b)))) = multiply(sP0_iProver_def,additive_inverse(b)),
inference(light_normalisation,[status(thm)],[c_17266,c_5768,c_16553]) ).
cnf(c_18343,plain,
multiply(multiply(X0,X0),X0) = add(X0,multiply(additive_identity,X0)),
inference(superposition,[status(thm)],[c_53,c_5877]) ).
cnf(c_18344,plain,
add(X0,multiply(additive_inverse(multiply(X0,X0)),X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_55,c_5877]) ).
cnf(c_19902,plain,
add(X0,multiply(additive_identity,X0)) = X0,
inference(demodulation,[status(thm)],[c_18343,c_49,c_58]) ).
cnf(c_19926,plain,
add(X0,additive_inverse(X0)) = additive_inverse(multiply(additive_identity,X0)),
inference(superposition,[status(thm)],[c_19902,c_1899]) ).
cnf(c_19937,plain,
add(X0,additive_inverse(X0)) = multiply(additive_identity,additive_inverse(X0)),
inference(superposition,[status(thm)],[c_19902,c_579]) ).
cnf(c_19954,plain,
multiply(additive_identity,additive_inverse(X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_19937,c_55]) ).
cnf(c_19956,plain,
additive_inverse(multiply(additive_identity,X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_19926,c_55]) ).
cnf(c_20274,plain,
multiply(additive_identity,X0) = additive_identity,
inference(superposition,[status(thm)],[c_617,c_19954]) ).
cnf(c_20354,plain,
multiply(add(X0,additive_identity),X1) = add(multiply(X0,X1),additive_identity),
inference(superposition,[status(thm)],[c_20274,c_60]) ).
cnf(c_20395,plain,
multiply(add(X0,additive_identity),X1) = add(additive_identity,multiply(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_20354,c_56,c_57]) ).
cnf(c_20396,plain,
multiply(X0,add(additive_identity,X1)) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_20395,c_53,c_2264]) ).
cnf(c_20547,plain,
add(X0,multiply(additive_inverse(multiply(X0,X0)),X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_18344,c_20274]) ).
cnf(c_20558,plain,
additive_inverse(multiply(additive_inverse(multiply(X0,X0)),X0)) = add(X0,additive_inverse(additive_identity)),
inference(superposition,[status(thm)],[c_20547,c_1899]) ).
cnf(c_20589,plain,
additive_inverse(multiply(additive_inverse(multiply(X0,X0)),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_20558,c_53,c_295]) ).
cnf(c_20924,plain,
multiply(additive_inverse(multiply(X0,X0)),X0) = additive_inverse(X0),
inference(superposition,[status(thm)],[c_20589,c_617]) ).
cnf(c_20977,plain,
multiply(additive_inverse(multiply(X0,X0)),multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
inference(superposition,[status(thm)],[c_20924,c_58]) ).
cnf(c_20996,plain,
multiply(additive_inverse(X0),X0) = multiply(X0,additive_inverse(X0)),
inference(superposition,[status(thm)],[c_20924,c_3426]) ).
cnf(c_21009,plain,
multiply(additive_inverse(X0),multiply(X0,additive_inverse(X0))) = X0,
inference(demodulation,[status(thm)],[c_3507,c_20996]) ).
cnf(c_21121,plain,
multiply(multiply(X0,additive_inverse(X0)),X1) = multiply(additive_inverse(X0),multiply(X0,X1)),
inference(superposition,[status(thm)],[c_20996,c_58]) ).
cnf(c_21141,plain,
multiply(a,multiply(b,additive_inverse(b))) = multiply(additive_inverse(sP1_iProver_def),b),
inference(superposition,[status(thm)],[c_20996,c_16542]) ).
cnf(c_23976,plain,
multiply(additive_inverse(sP1_iProver_def),b) = multiply(sP1_iProver_def,additive_inverse(b)),
inference(demodulation,[status(thm)],[c_21141,c_199]) ).
cnf(c_25945,plain,
add(sP0_iProver_def,additive_inverse(multiply(b,a))) = additive_inverse(multiply(b,additive_identity)),
inference(superposition,[status(thm)],[c_179,c_2347]) ).
cnf(c_25966,plain,
add(sP0_iProver_def,additive_inverse(sP0_iProver_def)) = additive_inverse(multiply(sP0_iProver_def,additive_identity)),
inference(light_normalisation,[status(thm)],[c_25945,c_121,c_2278]) ).
cnf(c_25999,plain,
add(sP0_iProver_def,additive_inverse(multiply(b,additive_identity))) = additive_inverse(multiply(b,additive_inverse(a))),
inference(superposition,[status(thm)],[c_55,c_2348]) ).
cnf(c_26040,plain,
add(sP0_iProver_def,add(sP0_iProver_def,additive_inverse(sP0_iProver_def))) = additive_inverse(multiply(b,additive_inverse(a))),
inference(light_normalisation,[status(thm)],[c_25999,c_2278,c_25966]) ).
cnf(c_26620,plain,
multiply(sP1_iProver_def,multiply(additive_inverse(b),multiply(b,X0))) = multiply(additive_inverse(sP1_iProver_def),X0),
inference(demodulation,[status(thm)],[c_17257,c_21121]) ).
cnf(c_26622,plain,
multiply(additive_inverse(sP1_iProver_def),additive_inverse(b)) = multiply(sP1_iProver_def,b),
inference(superposition,[status(thm)],[c_21009,c_26620]) ).
cnf(c_26645,plain,
multiply(additive_inverse(sP1_iProver_def),additive_inverse(multiply(b,b))) = multiply(sP1_iProver_def,multiply(additive_inverse(b),additive_inverse(b))),
inference(superposition,[status(thm)],[c_3364,c_26620]) ).
cnf(c_28282,plain,
additive_inverse(multiply(b,additive_inverse(a))) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_26040,c_570]) ).
cnf(c_28291,plain,
multiply(b,additive_inverse(a)) = additive_inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_28282,c_617]) ).
cnf(c_28400,plain,
multiply(b,multiply(additive_inverse(a),X0)) = multiply(additive_inverse(sP0_iProver_def),X0),
inference(superposition,[status(thm)],[c_28291,c_58]) ).
cnf(c_28412,plain,
multiply(b,add(a,additive_inverse(a))) = add(sP0_iProver_def,additive_inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_28291,c_212]) ).
cnf(c_28419,plain,
add(sP0_iProver_def,additive_inverse(sP0_iProver_def)) = multiply(sP0_iProver_def,additive_identity),
inference(light_normalisation,[status(thm)],[c_28412,c_11439]) ).
cnf(c_29003,plain,
multiply(b,multiply(a,additive_inverse(a))) = multiply(additive_inverse(sP0_iProver_def),a),
inference(superposition,[status(thm)],[c_20996,c_28400]) ).
cnf(c_29247,plain,
multiply(additive_inverse(multiply(b,b)),sP0_iProver_def) = multiply(additive_inverse(b),a),
inference(superposition,[status(thm)],[c_121,c_20977]) ).
cnf(c_29307,plain,
multiply(additive_inverse(multiply(X0,X0)),additive_inverse(X0)) = multiply(additive_inverse(X0),additive_inverse(multiply(X0,X0))),
inference(superposition,[status(thm)],[c_3364,c_20977]) ).
cnf(c_29308,plain,
multiply(additive_inverse(multiply(X0,X0)),additive_inverse(X0)) = multiply(additive_inverse(X0),multiply(X0,additive_inverse(X0))),
inference(superposition,[status(thm)],[c_3423,c_20977]) ).
cnf(c_29310,plain,
multiply(additive_inverse(multiply(a,a)),additive_inverse(sP1_iProver_def)) = multiply(additive_inverse(a),multiply(a,additive_inverse(sP1_iProver_def))),
inference(superposition,[status(thm)],[c_3431,c_20977]) ).
cnf(c_29389,plain,
multiply(additive_inverse(X0),multiply(X0,X1)) = multiply(X0,multiply(additive_inverse(X0),X1)),
inference(superposition,[status(thm)],[c_20977,c_3426]) ).
cnf(c_29400,plain,
multiply(additive_inverse(multiply(X0,X0)),additive_inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_29308,c_21009]) ).
cnf(c_30291,plain,
multiply(additive_inverse(multiply(X0,X0)),multiply(additive_inverse(multiply(X0,X0)),X0)) = X0,
inference(superposition,[status(thm)],[c_29400,c_455]) ).
cnf(c_30294,plain,
multiply(additive_inverse(multiply(X0,X0)),multiply(additive_inverse(X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_29400,c_58]) ).
cnf(c_30304,plain,
multiply(additive_inverse(X0),additive_inverse(X0)) = multiply(X0,X0),
inference(superposition,[status(thm)],[c_29400,c_3426]) ).
cnf(c_30307,plain,
multiply(additive_inverse(X0),additive_inverse(multiply(X0,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_30291,c_20924,c_29307]) ).
cnf(c_30515,plain,
multiply(additive_inverse(sP0_iProver_def),additive_inverse(a)) = multiply(b,multiply(a,a)),
inference(superposition,[status(thm)],[c_30304,c_28400]) ).
cnf(c_30673,plain,
multiply(additive_inverse(sP1_iProver_def),additive_inverse(multiply(b,b))) = multiply(a,b),
inference(superposition,[status(thm)],[c_30307,c_16542]) ).
cnf(c_30674,plain,
multiply(additive_inverse(sP0_iProver_def),additive_inverse(multiply(a,a))) = multiply(b,a),
inference(superposition,[status(thm)],[c_30307,c_28400]) ).
cnf(c_30676,plain,
multiply(additive_inverse(sP0_iProver_def),additive_inverse(multiply(a,a))) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_30674,c_121]) ).
cnf(c_30677,plain,
multiply(additive_inverse(sP1_iProver_def),additive_inverse(multiply(b,b))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_30673,c_122,c_26645]) ).
cnf(c_30878,plain,
multiply(additive_inverse(sP0_iProver_def),multiply(additive_inverse(multiply(a,a)),X0)) = multiply(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_30676,c_58]) ).
cnf(c_30962,plain,
multiply(additive_inverse(sP1_iProver_def),multiply(additive_inverse(multiply(b,b)),X0)) = multiply(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_30677,c_58]) ).
cnf(c_31166,plain,
multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,X2)))))) = multiply(X0,multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_457,c_58]) ).
cnf(c_31227,plain,
multiply(sP1_iProver_def,multiply(b,multiply(sP1_iProver_def,multiply(b,sP1_iProver_def)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_315,c_31166]) ).
cnf(c_31229,plain,
multiply(sP0_iProver_def,multiply(a,multiply(sP0_iProver_def,multiply(a,sP0_iProver_def)))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_377,c_31166]) ).
cnf(c_31234,plain,
multiply(sP1_iProver_def,multiply(b,multiply(sP1_iProver_def,multiply(b,multiply(sP1_iProver_def,a))))) = multiply(sP1_iProver_def,a),
inference(superposition,[status(thm)],[c_531,c_31166]) ).
cnf(c_31460,plain,
multiply(sP0_iProver_def,multiply(a,multiply(sP0_iProver_def,multiply(sP1_iProver_def,a)))) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_31229,c_309]) ).
cnf(c_31461,plain,
multiply(sP1_iProver_def,multiply(b,multiply(sP1_iProver_def,multiply(sP0_iProver_def,b)))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_31227,c_368]) ).
cnf(c_31475,plain,
multiply(sP1_iProver_def,multiply(b,multiply(sP1_iProver_def,multiply(sP0_iProver_def,sP0_iProver_def)))) = multiply(sP1_iProver_def,a),
inference(light_normalisation,[status(thm)],[c_31234,c_370]) ).
cnf(c_33026,plain,
multiply(additive_inverse(sP0_iProver_def),a) = multiply(sP0_iProver_def,additive_inverse(a)),
inference(demodulation,[status(thm)],[c_29003,c_200]) ).
cnf(c_34401,plain,
multiply(additive_inverse(sP0_iProver_def),additive_inverse(a)) = multiply(sP0_iProver_def,a),
inference(demodulation,[status(thm)],[c_30515,c_200]) ).
cnf(c_34634,plain,
multiply(sP0_iProver_def,multiply(sP1_iProver_def,multiply(a,multiply(sP1_iProver_def,a)))) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_31460,c_376]) ).
cnf(c_34701,plain,
multiply(sP1_iProver_def,multiply(sP0_iProver_def,multiply(b,multiply(sP0_iProver_def,b)))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_31461,c_369]) ).
cnf(c_34704,plain,
multiply(sP1_iProver_def,multiply(sP0_iProver_def,multiply(sP1_iProver_def,multiply(sP0_iProver_def,sP1_iProver_def)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_34701,c_31166]) ).
cnf(c_36203,plain,
add(sP1_iProver_def,additive_inverse(multiply(a,b))) = additive_inverse(multiply(additive_identity,b)),
inference(superposition,[status(thm)],[c_179,c_2349]) ).
cnf(c_36225,plain,
additive_inverse(multiply(additive_identity,b)) = multiply(sP1_iProver_def,additive_identity),
inference(light_normalisation,[status(thm)],[c_36203,c_122,c_16559]) ).
cnf(c_36255,plain,
add(sP1_iProver_def,additive_inverse(multiply(additive_identity,b))) = additive_inverse(multiply(additive_inverse(a),b)),
inference(superposition,[status(thm)],[c_55,c_2350]) ).
cnf(c_36297,plain,
additive_inverse(multiply(additive_inverse(a),b)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_36255,c_6590,c_36225]) ).
cnf(c_36477,plain,
multiply(additive_inverse(a),b) = additive_inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_36297,c_617]) ).
cnf(c_36751,plain,
multiply(additive_inverse(a),multiply(b,X0)) = multiply(additive_inverse(sP1_iProver_def),X0),
inference(superposition,[status(thm)],[c_36477,c_58]) ).
cnf(c_37199,plain,
multiply(additive_inverse(sP1_iProver_def),additive_inverse(multiply(b,b))) = multiply(additive_inverse(a),additive_inverse(b)),
inference(superposition,[status(thm)],[c_3364,c_36751]) ).
cnf(c_37201,plain,
multiply(additive_inverse(sP1_iProver_def),multiply(additive_inverse(multiply(b,b)),X0)) = multiply(additive_inverse(a),multiply(additive_inverse(b),X0)),
inference(superposition,[status(thm)],[c_3426,c_36751]) ).
cnf(c_37252,plain,
multiply(additive_inverse(a),additive_inverse(b)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_37199,c_30677]) ).
cnf(c_37263,plain,
multiply(additive_inverse(a),multiply(additive_inverse(b),X0)) = multiply(sP1_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_37201,c_30962]) ).
cnf(c_37468,plain,
multiply(additive_inverse(sP0_iProver_def),additive_inverse(b)) = multiply(b,sP1_iProver_def),
inference(superposition,[status(thm)],[c_37252,c_28400]) ).
cnf(c_37469,plain,
multiply(additive_inverse(sP0_iProver_def),additive_inverse(b)) = multiply(sP0_iProver_def,b),
inference(light_normalisation,[status(thm)],[c_37468,c_368]) ).
cnf(c_38636,plain,
multiply(additive_inverse(multiply(a,a)),additive_inverse(sP1_iProver_def)) = multiply(a,b),
inference(superposition,[status(thm)],[c_36477,c_30294]) ).
cnf(c_38695,plain,
multiply(additive_inverse(multiply(a,a)),additive_inverse(sP1_iProver_def)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_38636,c_122,c_29310]) ).
cnf(c_39937,plain,
add(sP0_iProver_def,additive_inverse(multiply(b,a))) = additive_inverse(multiply(additive_identity,a)),
inference(superposition,[status(thm)],[c_179,c_2351]) ).
cnf(c_39959,plain,
additive_inverse(multiply(additive_identity,a)) = multiply(sP0_iProver_def,additive_identity),
inference(light_normalisation,[status(thm)],[c_39937,c_121,c_28419]) ).
cnf(c_40680,plain,
add(sP0_iProver_def,additive_inverse(multiply(additive_identity,a))) = additive_inverse(multiply(additive_inverse(b),a)),
inference(superposition,[status(thm)],[c_55,c_2352]) ).
cnf(c_40722,plain,
additive_inverse(multiply(additive_inverse(b),a)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_40680,c_7929,c_39959]) ).
cnf(c_40806,plain,
multiply(additive_inverse(b),a) = additive_inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_40722,c_617]) ).
cnf(c_40824,plain,
multiply(additive_inverse(multiply(b,b)),sP0_iProver_def) = additive_inverse(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_29247,c_40806]) ).
cnf(c_40864,plain,
multiply(additive_inverse(b),multiply(a,X0)) = multiply(additive_inverse(sP0_iProver_def),X0),
inference(superposition,[status(thm)],[c_40806,c_58]) ).
cnf(c_41085,plain,
multiply(additive_inverse(sP0_iProver_def),multiply(additive_inverse(multiply(a,a)),X0)) = multiply(additive_inverse(b),multiply(additive_inverse(a),X0)),
inference(superposition,[status(thm)],[c_3426,c_40864]) ).
cnf(c_41087,plain,
multiply(additive_inverse(b),additive_inverse(sP1_iProver_def)) = multiply(additive_inverse(sP0_iProver_def),additive_inverse(b)),
inference(superposition,[status(thm)],[c_16500,c_40864]) ).
cnf(c_41139,plain,
multiply(additive_inverse(b),additive_inverse(sP1_iProver_def)) = multiply(sP0_iProver_def,b),
inference(light_normalisation,[status(thm)],[c_41087,c_37469]) ).
cnf(c_41158,plain,
multiply(additive_inverse(b),multiply(additive_inverse(a),X0)) = multiply(sP0_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_41085,c_30878]) ).
cnf(c_49332,plain,
multiply(additive_inverse(a),multiply(sP0_iProver_def,X0)) = multiply(sP1_iProver_def,multiply(additive_inverse(a),X0)),
inference(superposition,[status(thm)],[c_41158,c_37263]) ).
cnf(c_70668,plain,
add(sP0_iProver_def,multiply(additive_inverse(multiply(b,b)),sP0_iProver_def)) = multiply(additive_identity,sP0_iProver_def),
inference(superposition,[status(thm)],[c_55,c_5888]) ).
cnf(c_70727,plain,
multiply(additive_identity,sP0_iProver_def) = multiply(sP0_iProver_def,additive_identity),
inference(light_normalisation,[status(thm)],[c_70668,c_28419,c_40824]) ).
cnf(c_70922,plain,
multiply(add(b,additive_inverse(multiply(sP0_iProver_def,a))),a) = multiply(additive_identity,a),
inference(superposition,[status(thm)],[c_55,c_6018]) ).
cnf(c_71797,plain,
multiply(add(b,additive_inverse(multiply(sP0_iProver_def,a))),a) = additive_identity,
inference(demodulation,[status(thm)],[c_70922,c_20274]) ).
cnf(c_71811,plain,
multiply(add(b,additive_inverse(multiply(sP0_iProver_def,a))),multiply(a,X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_71797,c_58]) ).
cnf(c_71831,plain,
multiply(add(b,additive_inverse(multiply(sP0_iProver_def,a))),multiply(a,X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_71811,c_20274]) ).
cnf(c_73008,plain,
multiply(a,add(b,additive_inverse(multiply(sP0_iProver_def,a)))) = multiply(a,additive_identity),
inference(superposition,[status(thm)],[c_71831,c_869]) ).
cnf(c_73016,plain,
multiply(a,add(b,additive_inverse(multiply(sP0_iProver_def,a)))) = multiply(sP1_iProver_def,additive_identity),
inference(light_normalisation,[status(thm)],[c_73008,c_2273]) ).
cnf(c_74714,plain,
multiply(a,add(b,additive_inverse(multiply(sP0_iProver_def,a)))) = additive_identity,
inference(demodulation,[status(thm)],[c_73016,c_2245]) ).
cnf(c_74747,plain,
additive_inverse(multiply(a,additive_inverse(multiply(sP0_iProver_def,a)))) = add(sP1_iProver_def,additive_inverse(additive_identity)),
inference(superposition,[status(thm)],[c_74714,c_2346]) ).
cnf(c_74754,plain,
additive_inverse(multiply(a,additive_inverse(multiply(sP0_iProver_def,a)))) = add(sP1_iProver_def,additive_identity),
inference(light_normalisation,[status(thm)],[c_74747,c_295]) ).
cnf(c_74803,plain,
additive_inverse(multiply(a,additive_inverse(multiply(sP0_iProver_def,a)))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_74754,c_53]) ).
cnf(c_74816,plain,
multiply(a,additive_inverse(multiply(sP0_iProver_def,a))) = additive_inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_74803,c_617]) ).
cnf(c_76644,plain,
multiply(additive_inverse(multiply(a,a)),additive_inverse(sP1_iProver_def)) = multiply(additive_inverse(a),additive_inverse(multiply(sP0_iProver_def,a))),
inference(superposition,[status(thm)],[c_74816,c_20977]) ).
cnf(c_76663,plain,
multiply(additive_inverse(sP0_iProver_def),additive_inverse(multiply(sP0_iProver_def,a))) = multiply(additive_inverse(b),additive_inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_74816,c_40864]) ).
cnf(c_76672,plain,
multiply(sP0_iProver_def,additive_inverse(multiply(sP0_iProver_def,a))) = multiply(b,additive_inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_74816,c_200]) ).
cnf(c_76679,plain,
multiply(sP0_iProver_def,additive_inverse(multiply(sP0_iProver_def,a))) = multiply(sP0_iProver_def,additive_inverse(b)),
inference(light_normalisation,[status(thm)],[c_76672,c_16553]) ).
cnf(c_76684,plain,
multiply(additive_inverse(sP0_iProver_def),additive_inverse(multiply(sP0_iProver_def,a))) = multiply(sP0_iProver_def,b),
inference(light_normalisation,[status(thm)],[c_76663,c_41139]) ).
cnf(c_76690,plain,
multiply(additive_inverse(a),additive_inverse(multiply(sP0_iProver_def,a))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_76644,c_38695]) ).
cnf(c_128818,plain,
add(multiply(X0,additive_inverse(X1)),additive_inverse(multiply(X0,additive_identity))) = additive_inverse(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_55,c_1927]) ).
cnf(c_128966,plain,
add(multiply(X0,additive_inverse(X1)),additive_identity) = additive_inverse(multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_128818,c_295,c_2245]) ).
cnf(c_128967,plain,
add(additive_identity,multiply(X0,additive_inverse(X1))) = additive_inverse(multiply(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_128966,c_56,c_57]) ).
cnf(c_130562,plain,
add(multiply(additive_inverse(X0),X1),additive_inverse(multiply(additive_identity,X1))) = additive_inverse(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_55,c_1928]) ).
cnf(c_132479,plain,
multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_128967,c_2264,c_20396]) ).
cnf(c_132521,plain,
multiply(additive_inverse(sP0_iProver_def),multiply(sP0_iProver_def,additive_inverse(a))) = multiply(sP0_iProver_def,b),
inference(demodulation,[status(thm)],[c_76684,c_132479]) ).
cnf(c_132522,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,additive_inverse(a))) = multiply(sP0_iProver_def,additive_inverse(b)),
inference(demodulation,[status(thm)],[c_76679,c_132479]) ).
cnf(c_132527,plain,
multiply(additive_inverse(a),multiply(sP0_iProver_def,additive_inverse(a))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_76690,c_132479]) ).
cnf(c_132717,plain,
multiply(additive_inverse(sP1_iProver_def),additive_inverse(b)) = additive_inverse(multiply(sP1_iProver_def,additive_inverse(b))),
inference(superposition,[status(thm)],[c_23976,c_132479]) ).
cnf(c_132727,plain,
multiply(additive_inverse(sP0_iProver_def),additive_inverse(a)) = additive_inverse(multiply(sP0_iProver_def,additive_inverse(a))),
inference(superposition,[status(thm)],[c_33026,c_132479]) ).
cnf(c_132799,plain,
additive_inverse(multiply(sP0_iProver_def,additive_inverse(a))) = multiply(sP0_iProver_def,a),
inference(light_normalisation,[status(thm)],[c_132727,c_34401]) ).
cnf(c_132800,plain,
additive_inverse(multiply(sP1_iProver_def,additive_inverse(b))) = multiply(sP1_iProver_def,b),
inference(light_normalisation,[status(thm)],[c_132717,c_26622]) ).
cnf(c_133489,plain,
multiply(sP1_iProver_def,multiply(a,a)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_132527,c_30304,c_49332]) ).
cnf(c_133509,plain,
multiply(sP1_iProver_def,multiply(multiply(a,a),X0)) = multiply(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_133489,c_58]) ).
cnf(c_133835,plain,
multiply(sP1_iProver_def,multiply(a,multiply(a,X0))) = multiply(sP1_iProver_def,X0),
inference(demodulation,[status(thm)],[c_133509,c_58]) ).
cnf(c_133845,plain,
multiply(sP1_iProver_def,multiply(a,multiply(sP1_iProver_def,X0))) = multiply(sP1_iProver_def,multiply(b,X0)),
inference(superposition,[status(thm)],[c_199,c_133835]) ).
cnf(c_133940,plain,
multiply(sP0_iProver_def,multiply(sP1_iProver_def,multiply(b,a))) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_34634,c_133845]) ).
cnf(c_133941,plain,
multiply(sP0_iProver_def,multiply(sP1_iProver_def,sP0_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_133940,c_121]) ).
cnf(c_134379,plain,
multiply(sP0_iProver_def,add(multiply(sP1_iProver_def,sP0_iProver_def),X0)) = add(sP0_iProver_def,multiply(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_133941,c_59]) ).
cnf(c_134380,plain,
multiply(sP0_iProver_def,multiply(multiply(sP1_iProver_def,sP0_iProver_def),X0)) = multiply(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_133941,c_58]) ).
cnf(c_134828,plain,
multiply(sP0_iProver_def,multiply(sP1_iProver_def,multiply(sP0_iProver_def,X0))) = multiply(sP0_iProver_def,X0),
inference(demodulation,[status(thm)],[c_134380,c_58]) ).
cnf(c_134829,plain,
multiply(sP1_iProver_def,multiply(sP0_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_34704,c_134828]) ).
cnf(c_136275,plain,
multiply(sP1_iProver_def,multiply(multiply(sP0_iProver_def,sP1_iProver_def),X0)) = multiply(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_134829,c_58]) ).
cnf(c_136286,plain,
multiply(sP0_iProver_def,multiply(b,multiply(sP0_iProver_def,sP1_iProver_def))) = multiply(b,sP1_iProver_def),
inference(superposition,[status(thm)],[c_134829,c_369]) ).
cnf(c_136293,plain,
multiply(sP0_iProver_def,multiply(b,multiply(sP0_iProver_def,sP1_iProver_def))) = multiply(sP0_iProver_def,b),
inference(light_normalisation,[status(thm)],[c_136286,c_368]) ).
cnf(c_136861,plain,
multiply(sP1_iProver_def,multiply(sP0_iProver_def,multiply(sP1_iProver_def,X0))) = multiply(sP1_iProver_def,X0),
inference(demodulation,[status(thm)],[c_136275,c_58]) ).
cnf(c_137076,plain,
multiply(sP0_iProver_def,multiply(add(sP1_iProver_def,X0),sP0_iProver_def)) = add(sP0_iProver_def,multiply(sP0_iProver_def,multiply(X0,sP0_iProver_def))),
inference(superposition,[status(thm)],[c_60,c_134379]) ).
cnf(c_137592,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,a)) = multiply(sP0_iProver_def,b),
inference(demodulation,[status(thm)],[c_132521,c_29389,c_34401]) ).
cnf(c_137612,plain,
multiply(sP0_iProver_def,multiply(multiply(sP0_iProver_def,a),X0)) = multiply(multiply(sP0_iProver_def,b),X0),
inference(superposition,[status(thm)],[c_137592,c_58]) ).
cnf(c_137631,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,b)) = multiply(sP0_iProver_def,a),
inference(superposition,[status(thm)],[c_137592,c_455]) ).
cnf(c_138058,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,additive_inverse(b))) = multiply(sP0_iProver_def,additive_inverse(a)),
inference(superposition,[status(thm)],[c_132522,c_455]) ).
cnf(c_138794,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,multiply(a,X0))) = multiply(sP0_iProver_def,multiply(b,X0)),
inference(demodulation,[status(thm)],[c_137612,c_58]) ).
cnf(c_138812,plain,
multiply(sP0_iProver_def,multiply(b,multiply(b,X0))) = multiply(sP0_iProver_def,multiply(sP0_iProver_def,multiply(sP1_iProver_def,X0))),
inference(superposition,[status(thm)],[c_199,c_138794]) ).
cnf(c_138816,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,multiply(sP1_iProver_def,a))) = multiply(sP0_iProver_def,multiply(b,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_309,c_138794]) ).
cnf(c_139205,plain,
add(multiply(additive_inverse(X0),X1),additive_inverse(multiply(additive_identity,X1))) = multiply(X0,additive_inverse(X1)),
inference(light_normalisation,[status(thm)],[c_130562,c_132479]) ).
cnf(c_139206,plain,
multiply(additive_inverse(X0),X1) = multiply(X0,additive_inverse(X1)),
inference(demodulation,[status(thm)],[c_139205,c_53,c_19956]) ).
cnf(c_139344,plain,
add(multiply(X0,X1),multiply(X2,additive_inverse(X1))) = multiply(add(X0,additive_inverse(X2)),X1),
inference(superposition,[status(thm)],[c_139206,c_60]) ).
cnf(c_158007,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,multiply(sP1_iProver_def,additive_inverse(b)))) = multiply(sP0_iProver_def,additive_inverse(b)),
inference(demodulation,[status(thm)],[c_17273,c_138812]) ).
cnf(c_158053,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,additive_inverse(b))) = multiply(sP0_iProver_def,multiply(sP1_iProver_def,additive_inverse(b))),
inference(superposition,[status(thm)],[c_158007,c_455]) ).
cnf(c_158057,plain,
multiply(sP0_iProver_def,multiply(sP1_iProver_def,additive_inverse(b))) = multiply(sP0_iProver_def,additive_inverse(a)),
inference(light_normalisation,[status(thm)],[c_158053,c_138058]) ).
cnf(c_158169,plain,
multiply(sP0_iProver_def,additive_inverse(multiply(sP1_iProver_def,additive_inverse(b)))) = additive_inverse(multiply(sP0_iProver_def,additive_inverse(a))),
inference(superposition,[status(thm)],[c_158057,c_132479]) ).
cnf(c_158203,plain,
multiply(sP0_iProver_def,multiply(sP1_iProver_def,b)) = multiply(sP0_iProver_def,a),
inference(light_normalisation,[status(thm)],[c_158169,c_132799,c_132800]) ).
cnf(c_158335,plain,
multiply(sP0_iProver_def,multiply(multiply(sP1_iProver_def,b),X0)) = multiply(multiply(sP0_iProver_def,a),X0),
inference(superposition,[status(thm)],[c_158203,c_58]) ).
cnf(c_159450,plain,
multiply(sP0_iProver_def,multiply(sP1_iProver_def,multiply(b,X0))) = multiply(sP0_iProver_def,multiply(a,X0)),
inference(demodulation,[status(thm)],[c_158335,c_58]) ).
cnf(c_159563,plain,
multiply(sP1_iProver_def,multiply(sP0_iProver_def,multiply(a,X0))) = multiply(sP1_iProver_def,multiply(b,X0)),
inference(superposition,[status(thm)],[c_159450,c_136861]) ).
cnf(c_197762,plain,
multiply(sP1_iProver_def,multiply(sP0_iProver_def,multiply(b,multiply(sP0_iProver_def,sP0_iProver_def)))) = multiply(sP1_iProver_def,a),
inference(demodulation,[status(thm)],[c_31475,c_369]) ).
cnf(c_197811,plain,
multiply(sP0_iProver_def,multiply(b,multiply(sP0_iProver_def,sP0_iProver_def))) = multiply(sP0_iProver_def,multiply(sP1_iProver_def,a)),
inference(superposition,[status(thm)],[c_197762,c_134828]) ).
cnf(c_357891,plain,
multiply(sP0_iProver_def,multiply(add(X0,sP0_iProver_def),sP0_iProver_def)) = multiply(sP0_iProver_def,multiply(add(sP1_iProver_def,X0),sP0_iProver_def)),
inference(demodulation,[status(thm)],[c_137076,c_4675]) ).
cnf(c_357899,plain,
multiply(sP0_iProver_def,multiply(add(sP0_iProver_def,X0),sP0_iProver_def)) = multiply(sP0_iProver_def,multiply(add(sP1_iProver_def,X0),sP0_iProver_def)),
inference(superposition,[status(thm)],[c_57,c_357891]) ).
cnf(c_365335,plain,
multiply(add(X0,additive_inverse(X1)),additive_identity) = add(additive_identity,multiply(X1,additive_inverse(additive_identity))),
inference(superposition,[status(thm)],[c_2245,c_139344]) ).
cnf(c_365686,plain,
multiply(add(X0,additive_inverse(X1)),additive_identity) = add(additive_identity,multiply(X1,additive_identity)),
inference(light_normalisation,[status(thm)],[c_365335,c_295]) ).
cnf(c_466191,plain,
multiply(sP0_iProver_def,multiply(add(sP0_iProver_def,additive_inverse(sP1_iProver_def)),sP0_iProver_def)) = multiply(sP0_iProver_def,multiply(additive_identity,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_55,c_357899]) ).
cnf(c_466329,plain,
multiply(sP0_iProver_def,multiply(add(sP0_iProver_def,additive_inverse(sP1_iProver_def)),sP0_iProver_def)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_466191,c_9568,c_70727]) ).
cnf(c_466945,plain,
multiply(sP0_iProver_def,multiply(multiply(add(sP0_iProver_def,additive_inverse(sP1_iProver_def)),sP0_iProver_def),X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_466329,c_58]) ).
cnf(c_466987,plain,
multiply(sP0_iProver_def,multiply(multiply(add(sP0_iProver_def,additive_inverse(sP1_iProver_def)),sP0_iProver_def),X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_466945,c_20274]) ).
cnf(c_467212,plain,
multiply(sP0_iProver_def,multiply(add(sP0_iProver_def,additive_inverse(sP1_iProver_def)),multiply(sP0_iProver_def,X0))) = additive_identity,
inference(demodulation,[status(thm)],[c_466987,c_58]) ).
cnf(c_467411,plain,
multiply(sP0_iProver_def,multiply(add(sP0_iProver_def,additive_inverse(sP1_iProver_def)),X0)) = additive_identity,
inference(superposition,[status(thm)],[c_467212,c_31166]) ).
cnf(c_467543,plain,
multiply(add(sP0_iProver_def,additive_inverse(sP1_iProver_def)),additive_identity) = multiply(add(sP0_iProver_def,additive_inverse(sP1_iProver_def)),sP0_iProver_def),
inference(superposition,[status(thm)],[c_467411,c_869]) ).
cnf(c_467553,plain,
multiply(sP0_iProver_def,add(sP0_iProver_def,additive_inverse(sP1_iProver_def))) = additive_identity,
inference(superposition,[status(thm)],[c_467411,c_932]) ).
cnf(c_471052,plain,
multiply(sP0_iProver_def,add(X0,add(sP0_iProver_def,additive_inverse(sP1_iProver_def)))) = add(multiply(sP0_iProver_def,X0),additive_identity),
inference(superposition,[status(thm)],[c_467553,c_59]) ).
cnf(c_471083,plain,
multiply(sP0_iProver_def,add(X0,add(sP0_iProver_def,additive_inverse(sP1_iProver_def)))) = add(additive_identity,multiply(sP0_iProver_def,X0)),
inference(theory_normalisation,[status(thm)],[c_471052,c_56,c_57]) ).
cnf(c_471966,plain,
multiply(sP0_iProver_def,add(X0,add(sP0_iProver_def,additive_inverse(sP1_iProver_def)))) = multiply(sP0_iProver_def,X0),
inference(demodulation,[status(thm)],[c_471083,c_2264,c_20396]) ).
cnf(c_471987,plain,
multiply(sP0_iProver_def,sP0_iProver_def) = multiply(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_570,c_471966]) ).
cnf(c_472209,plain,
multiply(sP0_iProver_def,multiply(b,multiply(sP0_iProver_def,sP0_iProver_def))) = multiply(sP0_iProver_def,b),
inference(demodulation,[status(thm)],[c_136293,c_471987]) ).
cnf(c_472216,plain,
multiply(sP0_iProver_def,multiply(sP1_iProver_def,a)) = multiply(sP0_iProver_def,b),
inference(light_normalisation,[status(thm)],[c_472209,c_197811]) ).
cnf(c_472218,plain,
multiply(sP0_iProver_def,multiply(b,sP0_iProver_def)) = multiply(sP0_iProver_def,multiply(sP0_iProver_def,b)),
inference(demodulation,[status(thm)],[c_138816,c_472216]) ).
cnf(c_472219,plain,
multiply(sP0_iProver_def,multiply(b,sP0_iProver_def)) = multiply(sP0_iProver_def,a),
inference(light_normalisation,[status(thm)],[c_472218,c_137631]) ).
cnf(c_472608,plain,
multiply(multiply(sP0_iProver_def,sP0_iProver_def),X0) = multiply(sP0_iProver_def,multiply(sP1_iProver_def,X0)),
inference(superposition,[status(thm)],[c_471987,c_58]) ).
cnf(c_473445,plain,
multiply(sP0_iProver_def,multiply(multiply(b,sP0_iProver_def),X0)) = multiply(multiply(sP0_iProver_def,a),X0),
inference(superposition,[status(thm)],[c_472219,c_58]) ).
cnf(c_474189,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,X0)) = multiply(sP0_iProver_def,multiply(sP1_iProver_def,X0)),
inference(demodulation,[status(thm)],[c_472608,c_58]) ).
cnf(c_482492,plain,
multiply(sP0_iProver_def,multiply(b,multiply(sP0_iProver_def,X0))) = multiply(sP0_iProver_def,multiply(a,X0)),
inference(demodulation,[status(thm)],[c_473445,c_58]) ).
cnf(c_552297,plain,
multiply(add(sP0_iProver_def,additive_inverse(sP1_iProver_def)),sP0_iProver_def) = additive_identity,
inference(demodulation,[status(thm)],[c_467543,c_2264,c_12458,c_365686]) ).
cnf(c_552335,plain,
multiply(add(X0,add(sP0_iProver_def,additive_inverse(sP1_iProver_def))),sP0_iProver_def) = add(multiply(X0,sP0_iProver_def),additive_identity),
inference(superposition,[status(thm)],[c_552297,c_60]) ).
cnf(c_552357,plain,
multiply(add(X0,add(sP0_iProver_def,additive_inverse(sP1_iProver_def))),sP0_iProver_def) = add(additive_identity,multiply(X0,sP0_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_552335,c_56,c_57]) ).
cnf(c_553930,plain,
multiply(add(X0,add(sP0_iProver_def,additive_inverse(sP1_iProver_def))),sP0_iProver_def) = multiply(X0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_552357,c_2264,c_20396]) ).
cnf(c_553944,plain,
multiply(sP0_iProver_def,sP0_iProver_def) = multiply(sP1_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_570,c_553930]) ).
cnf(c_557282,plain,
multiply(multiply(sP0_iProver_def,sP0_iProver_def),X0) = multiply(sP1_iProver_def,multiply(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_553944,c_58]) ).
cnf(c_557319,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,X0)) = multiply(sP1_iProver_def,multiply(sP0_iProver_def,X0)),
inference(light_normalisation,[status(thm)],[c_557282,c_472608,c_474189]) ).
cnf(c_557362,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,multiply(a,X0))) = multiply(sP1_iProver_def,multiply(b,X0)),
inference(demodulation,[status(thm)],[c_159563,c_557319]) ).
cnf(c_557381,plain,
multiply(sP0_iProver_def,multiply(b,X0)) = multiply(sP1_iProver_def,multiply(b,X0)),
inference(light_normalisation,[status(thm)],[c_557362,c_138794]) ).
cnf(c_557388,plain,
multiply(sP0_iProver_def,multiply(b,multiply(sP0_iProver_def,X0))) = multiply(sP1_iProver_def,multiply(a,X0)),
inference(demodulation,[status(thm)],[c_1688,c_557381]) ).
cnf(c_557488,plain,
multiply(sP0_iProver_def,multiply(a,X0)) = multiply(sP1_iProver_def,multiply(a,X0)),
inference(light_normalisation,[status(thm)],[c_557388,c_482492]) ).
cnf(c_557493,plain,
multiply(sP0_iProver_def,multiply(a,a)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_133489,c_557488]) ).
cnf(c_557586,plain,
sP0_iProver_def = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_557493,c_377]) ).
cnf(c_557587,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_557586,c_178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : RNG009-7 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 21:17:34 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running UEQ theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 244.18/31.64 % SZS status Started for theBenchmark.p
% 244.18/31.64 % SZS status Unsatisfiable for theBenchmark.p
% 244.18/31.64
% 244.18/31.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 244.18/31.64
% 244.18/31.64 ------ iProver source info
% 244.18/31.64
% 244.18/31.64 git: date: 2024-05-02 19:28:25 +0000
% 244.18/31.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 244.18/31.64 git: non_committed_changes: false
% 244.18/31.64
% 244.18/31.64 ------ Parsing...successful
% 244.18/31.64
% 244.18/31.64
% 244.18/31.64
% 244.18/31.64 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 244.18/31.64
% 244.18/31.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 244.18/31.64
% 244.18/31.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 244.18/31.64 ------ Proving...
% 244.18/31.64 ------ Problem Properties
% 244.18/31.64
% 244.18/31.64
% 244.18/31.64 clauses 12
% 244.18/31.64 conjectures 2
% 244.18/31.64 EPR 2
% 244.18/31.64 Horn 12
% 244.18/31.64 unary 12
% 244.18/31.64 binary 0
% 244.18/31.64 lits 12
% 244.18/31.64 lits eq 12
% 244.18/31.64 fd_pure 0
% 244.18/31.64 fd_pseudo 0
% 244.18/31.64 fd_cond 0
% 244.18/31.64 fd_pseudo_cond 0
% 244.18/31.64 AC symbols 1
% 244.18/31.64
% 244.18/31.64 ------ Input Options Time Limit: Unbounded
% 244.18/31.64
% 244.18/31.64
% 244.18/31.64 ------
% 244.18/31.64 Current options:
% 244.18/31.64 ------
% 244.18/31.64
% 244.18/31.64
% 244.18/31.64
% 244.18/31.64
% 244.18/31.64 ------ Proving...
% 244.18/31.64
% 244.18/31.64
% 244.18/31.64 % SZS status Unsatisfiable for theBenchmark.p
% 244.18/31.64
% 244.18/31.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 244.18/31.64
% 244.18/31.65
%------------------------------------------------------------------------------