TSTP Solution File: RNG009-7 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG009-7 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 14:03:00 EDT 2024
% Result : Unsatisfiable 84.41s 11.72s
% Output : CNFRefutation 84.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
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_52,negated_conjecture,
add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',left_additive_identity) ).
cnf(c_53,negated_conjecture,
add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',right_additive_identity) ).
cnf(c_55,negated_conjecture,
add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',right_additive_inverse) ).
cnf(c_56,negated_conjecture,
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,negated_conjecture,
add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',commutativity_for_addition) ).
cnf(c_58,negated_conjecture,
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,negated_conjecture,
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,negated_conjecture,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/RNG005-0.ax',distribute2) ).
cnf(c_123,plain,
multiply(b,a) = sP0_iProver_def,
definition ).
cnf(c_124,plain,
multiply(a,b) = sP1_iProver_def,
definition ).
cnf(c_125,negated_conjecture,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_126,negated_conjecture,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_127,negated_conjecture,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_128,negated_conjecture,
add(X0,X1) = add(X1,X0),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_129,negated_conjecture,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_130,negated_conjecture,
add(X0,additive_inverse(X0)) = additive_identity,
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_131,negated_conjecture,
add(X0,additive_identity) = X0,
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_132,negated_conjecture,
add(additive_identity,X0) = X0,
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_133,negated_conjecture,
sP0_iProver_def != c,
inference(demodulation,[status(thm)],[c_51,c_123]) ).
cnf(c_134,negated_conjecture,
sP1_iProver_def = c,
inference(demodulation,[status(thm)],[c_50,c_124]) ).
cnf(c_135,negated_conjecture,
multiply(X0,multiply(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_191,plain,
sP0_iProver_def != sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_133,c_134]) ).
cnf(c_192,plain,
additive_inverse(additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_132,c_130]) ).
cnf(c_208,plain,
multiply(X0,multiply(multiply(X0,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_135,c_127]) ).
cnf(c_209,plain,
multiply(a,multiply(b,X0)) = multiply(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_124,c_127]) ).
cnf(c_210,plain,
multiply(b,multiply(a,X0)) = multiply(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_123,c_127]) ).
cnf(c_212,plain,
multiply(X0,multiply(X1,multiply(multiply(X0,X1),multiply(X0,X1)))) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_127,c_135]) ).
cnf(c_213,plain,
multiply(X0,multiply(X0,multiply(X0,X1))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_208,c_127]) ).
cnf(c_214,plain,
multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_212,c_127]) ).
cnf(c_239,plain,
multiply(sP1_iProver_def,multiply(b,b)) = multiply(a,b),
inference(superposition,[status(thm)],[c_135,c_209]) ).
cnf(c_240,plain,
multiply(a,sP0_iProver_def) = multiply(sP1_iProver_def,a),
inference(superposition,[status(thm)],[c_123,c_209]) ).
cnf(c_242,plain,
multiply(sP1_iProver_def,multiply(b,b)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_239,c_124]) ).
cnf(c_257,plain,
add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
inference(superposition,[status(thm)],[c_130,c_129]) ).
cnf(c_259,plain,
add(X0,add(X1,additive_inverse(add(X0,X1)))) = additive_identity,
inference(superposition,[status(thm)],[c_129,c_130]) ).
cnf(c_260,plain,
add(X0,add(additive_inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_257,c_132]) ).
cnf(c_274,plain,
multiply(add(a,X0),b) = add(sP1_iProver_def,multiply(X0,b)),
inference(superposition,[status(thm)],[c_124,c_125]) ).
cnf(c_275,plain,
multiply(add(b,X0),a) = add(sP0_iProver_def,multiply(X0,a)),
inference(superposition,[status(thm)],[c_123,c_125]) ).
cnf(c_288,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X2,X0),X1),
inference(superposition,[status(thm)],[c_125,c_128]) ).
cnf(c_337,plain,
multiply(X0,add(multiply(X0,X0),X1)) = add(X0,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_135,c_126]) ).
cnf(c_338,plain,
multiply(a,add(b,X0)) = add(sP1_iProver_def,multiply(a,X0)),
inference(superposition,[status(thm)],[c_124,c_126]) ).
cnf(c_339,plain,
multiply(b,add(a,X0)) = add(sP0_iProver_def,multiply(b,X0)),
inference(superposition,[status(thm)],[c_123,c_126]) ).
cnf(c_342,plain,
multiply(sP1_iProver_def,add(multiply(b,b),X0)) = add(sP1_iProver_def,multiply(sP1_iProver_def,X0)),
inference(superposition,[status(thm)],[c_242,c_126]) ).
cnf(c_352,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X2,X1)),
inference(superposition,[status(thm)],[c_126,c_128]) ).
cnf(c_354,plain,
multiply(add(X0,X0),X1) = multiply(X0,add(X1,X1)),
inference(superposition,[status(thm)],[c_126,c_125]) ).
cnf(c_472,plain,
add(X0,additive_identity) = additive_inverse(additive_inverse(X0)),
inference(superposition,[status(thm)],[c_130,c_260]) ).
cnf(c_473,plain,
add(X0,add(X1,additive_inverse(X0))) = X1,
inference(superposition,[status(thm)],[c_128,c_260]) ).
cnf(c_481,plain,
additive_inverse(additive_inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_472,c_131]) ).
cnf(c_544,plain,
multiply(sP0_iProver_def,multiply(a,a)) = multiply(b,a),
inference(superposition,[status(thm)],[c_135,c_210]) ).
cnf(c_545,plain,
multiply(b,sP1_iProver_def) = multiply(sP0_iProver_def,b),
inference(superposition,[status(thm)],[c_124,c_210]) ).
cnf(c_546,plain,
multiply(b,multiply(sP1_iProver_def,X0)) = multiply(sP0_iProver_def,multiply(b,X0)),
inference(superposition,[status(thm)],[c_209,c_210]) ).
cnf(c_554,plain,
multiply(sP0_iProver_def,multiply(a,a)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_544,c_123]) ).
cnf(c_566,plain,
multiply(sP0_iProver_def,multiply(multiply(a,a),X0)) = multiply(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_554,c_127]) ).
cnf(c_569,plain,
multiply(sP0_iProver_def,multiply(a,multiply(a,X0))) = multiply(sP0_iProver_def,X0),
inference(demodulation,[status(thm)],[c_566,c_127]) ).
cnf(c_671,plain,
add(X0,add(X1,additive_inverse(add(X1,X0)))) = additive_identity,
inference(superposition,[status(thm)],[c_128,c_259]) ).
cnf(c_681,plain,
add(X0,additive_inverse(add(additive_inverse(X1),X0))) = add(X1,additive_identity),
inference(superposition,[status(thm)],[c_259,c_260]) ).
cnf(c_683,plain,
add(X0,additive_inverse(add(additive_inverse(X1),X0))) = X1,
inference(demodulation,[status(thm)],[c_681,c_131]) ).
cnf(c_760,plain,
add(X0,additive_inverse(add(X0,additive_inverse(X1)))) = add(X1,additive_identity),
inference(superposition,[status(thm)],[c_671,c_260]) ).
cnf(c_764,plain,
add(X0,additive_inverse(add(X0,additive_inverse(X1)))) = X1,
inference(demodulation,[status(thm)],[c_760,c_131]) ).
cnf(c_856,plain,
multiply(a,multiply(a,sP1_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_124,c_213]) ).
cnf(c_857,plain,
multiply(b,multiply(b,sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_123,c_213]) ).
cnf(c_859,plain,
multiply(a,multiply(a,multiply(sP1_iProver_def,X0))) = multiply(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_209,c_213]) ).
cnf(c_860,plain,
multiply(b,multiply(b,multiply(sP0_iProver_def,X0))) = multiply(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_210,c_213]) ).
cnf(c_916,plain,
multiply(sP0_iProver_def,multiply(a,sP1_iProver_def)) = multiply(b,sP1_iProver_def),
inference(superposition,[status(thm)],[c_856,c_210]) ).
cnf(c_917,plain,
multiply(sP0_iProver_def,multiply(a,sP1_iProver_def)) = multiply(sP0_iProver_def,b),
inference(demodulation,[status(thm)],[c_916,c_545]) ).
cnf(c_926,plain,
multiply(sP1_iProver_def,multiply(b,sP0_iProver_def)) = multiply(a,sP0_iProver_def),
inference(superposition,[status(thm)],[c_857,c_209]) ).
cnf(c_927,plain,
multiply(sP1_iProver_def,multiply(b,sP0_iProver_def)) = multiply(sP1_iProver_def,a),
inference(demodulation,[status(thm)],[c_926,c_240]) ).
cnf(c_994,plain,
add(X0,additive_inverse(add(X1,X0))) = additive_inverse(X1),
inference(superposition,[status(thm)],[c_481,c_683]) ).
cnf(c_1060,plain,
add(X0,additive_inverse(add(X0,X1))) = additive_inverse(X1),
inference(superposition,[status(thm)],[c_481,c_764]) ).
cnf(c_1067,plain,
additive_inverse(add(additive_inverse(X0),additive_inverse(X1))) = add(X0,X1),
inference(superposition,[status(thm)],[c_764,c_260]) ).
cnf(c_1093,plain,
multiply(sP0_iProver_def,add(multiply(a,sP1_iProver_def),X0)) = add(multiply(sP0_iProver_def,b),multiply(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_917,c_126]) ).
cnf(c_1100,plain,
multiply(sP0_iProver_def,add(multiply(a,sP1_iProver_def),X0)) = multiply(sP0_iProver_def,add(b,X0)),
inference(demodulation,[status(thm)],[c_1093,c_126]) ).
cnf(c_1103,plain,
multiply(sP1_iProver_def,add(multiply(b,sP0_iProver_def),X0)) = add(multiply(sP1_iProver_def,a),multiply(sP1_iProver_def,X0)),
inference(superposition,[status(thm)],[c_927,c_126]) ).
cnf(c_1110,plain,
multiply(sP1_iProver_def,add(multiply(b,sP0_iProver_def),X0)) = multiply(sP1_iProver_def,add(a,X0)),
inference(demodulation,[status(thm)],[c_1103,c_126]) ).
cnf(c_1249,plain,
add(multiply(X0,b),additive_inverse(multiply(add(a,X0),b))) = additive_inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_274,c_994]) ).
cnf(c_1346,plain,
additive_inverse(add(X0,additive_inverse(X1))) = add(additive_inverse(X0),X1),
inference(superposition,[status(thm)],[c_481,c_1067]) ).
cnf(c_1544,plain,
add(sP0_iProver_def,additive_inverse(multiply(add(b,X0),a))) = additive_inverse(multiply(X0,a)),
inference(superposition,[status(thm)],[c_275,c_1060]) ).
cnf(c_1546,plain,
add(multiply(X0,a),additive_inverse(multiply(add(b,X0),a))) = additive_inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_275,c_994]) ).
cnf(c_1796,plain,
add(sP1_iProver_def,additive_inverse(multiply(a,add(b,X0)))) = additive_inverse(multiply(a,X0)),
inference(superposition,[status(thm)],[c_338,c_1060]) ).
cnf(c_1900,plain,
add(sP0_iProver_def,additive_inverse(multiply(b,add(a,X0)))) = additive_inverse(multiply(b,X0)),
inference(superposition,[status(thm)],[c_339,c_1060]) ).
cnf(c_1935,plain,
multiply(additive_identity,add(X0,X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_132,c_354]) ).
cnf(c_2101,plain,
multiply(additive_identity,add(add(X0,X0),X1)) = add(multiply(additive_identity,X0),multiply(additive_identity,X1)),
inference(superposition,[status(thm)],[c_1935,c_126]) ).
cnf(c_2109,plain,
multiply(additive_identity,add(X0,add(X0,X1))) = add(multiply(additive_identity,X0),multiply(additive_identity,X1)),
inference(theory_normalisation,[status(thm)],[c_2101,c_129,c_128]) ).
cnf(c_2110,plain,
multiply(additive_identity,add(X0,add(X0,X1))) = multiply(additive_identity,add(X0,X1)),
inference(demodulation,[status(thm)],[c_2109,c_126]) ).
cnf(c_5036,plain,
multiply(X0,multiply(X0,X0)) = add(X0,multiply(X0,additive_identity)),
inference(superposition,[status(thm)],[c_131,c_337]) ).
cnf(c_5037,plain,
add(X0,multiply(X0,additive_inverse(multiply(X0,X0)))) = multiply(X0,additive_identity),
inference(superposition,[status(thm)],[c_130,c_337]) ).
cnf(c_5077,plain,
add(X0,multiply(X0,additive_identity)) = X0,
inference(demodulation,[status(thm)],[c_5036,c_135]) ).
cnf(c_5270,plain,
add(X0,additive_inverse(X0)) = multiply(additive_inverse(X0),additive_identity),
inference(superposition,[status(thm)],[c_5077,c_260]) ).
cnf(c_5274,plain,
multiply(additive_inverse(X0),additive_identity) = additive_identity,
inference(demodulation,[status(thm)],[c_5270,c_130]) ).
cnf(c_5303,plain,
multiply(X0,additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_481,c_5274]) ).
cnf(c_5627,plain,
add(X0,multiply(X0,additive_inverse(multiply(X0,X0)))) = additive_identity,
inference(light_normalisation,[status(thm)],[c_5037,c_5303]) ).
cnf(c_5639,plain,
add(multiply(X0,additive_inverse(multiply(X0,X0))),additive_inverse(additive_identity)) = additive_inverse(X0),
inference(superposition,[status(thm)],[c_5627,c_994]) ).
cnf(c_5647,plain,
add(additive_inverse(additive_identity),multiply(X0,additive_inverse(multiply(X0,X0)))) = additive_inverse(X0),
inference(theory_normalisation,[status(thm)],[c_5639,c_129,c_128]) ).
cnf(c_5648,plain,
multiply(X0,additive_inverse(multiply(X0,X0))) = additive_inverse(X0),
inference(demodulation,[status(thm)],[c_5647,c_132,c_192]) ).
cnf(c_5673,plain,
multiply(X0,multiply(X0,additive_inverse(X0))) = additive_inverse(X0),
inference(superposition,[status(thm)],[c_5648,c_213]) ).
cnf(c_5676,plain,
multiply(X0,multiply(additive_inverse(multiply(X0,X0)),X1)) = multiply(additive_inverse(X0),X1),
inference(superposition,[status(thm)],[c_5648,c_127]) ).
cnf(c_5681,plain,
multiply(a,multiply(a,additive_inverse(sP1_iProver_def))) = additive_inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_5648,c_859]) ).
cnf(c_5686,plain,
multiply(sP1_iProver_def,additive_inverse(multiply(b,b))) = multiply(a,additive_inverse(b)),
inference(superposition,[status(thm)],[c_5648,c_209]) ).
cnf(c_5687,plain,
multiply(b,multiply(b,additive_inverse(sP0_iProver_def))) = additive_inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_5648,c_860]) ).
cnf(c_5689,plain,
multiply(sP0_iProver_def,multiply(a,additive_inverse(a))) = multiply(sP0_iProver_def,additive_inverse(multiply(a,a))),
inference(superposition,[status(thm)],[c_5648,c_569]) ).
cnf(c_5692,plain,
multiply(sP0_iProver_def,additive_inverse(multiply(a,a))) = multiply(b,additive_inverse(a)),
inference(superposition,[status(thm)],[c_5648,c_210]) ).
cnf(c_5697,plain,
multiply(sP0_iProver_def,multiply(a,additive_inverse(a))) = multiply(b,additive_inverse(a)),
inference(demodulation,[status(thm)],[c_5689,c_5692]) ).
cnf(c_5717,plain,
multiply(additive_inverse(X0),multiply(additive_inverse(X0),X0)) = X0,
inference(superposition,[status(thm)],[c_481,c_5673]) ).
cnf(c_5725,plain,
multiply(X0,multiply(multiply(X0,additive_inverse(X0)),X1)) = multiply(additive_inverse(X0),X1),
inference(superposition,[status(thm)],[c_5673,c_127]) ).
cnf(c_5748,plain,
multiply(X0,multiply(X0,multiply(additive_inverse(X0),X1))) = multiply(additive_inverse(X0),X1),
inference(demodulation,[status(thm)],[c_5725,c_127]) ).
cnf(c_5884,plain,
multiply(a,add(b,multiply(a,additive_inverse(sP1_iProver_def)))) = add(sP1_iProver_def,additive_inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_5681,c_338]) ).
cnf(c_5886,plain,
multiply(a,add(b,multiply(a,additive_inverse(sP1_iProver_def)))) = additive_identity,
inference(demodulation,[status(thm)],[c_5884,c_130]) ).
cnf(c_5906,plain,
multiply(b,add(a,multiply(b,additive_inverse(sP0_iProver_def)))) = add(sP0_iProver_def,additive_inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_5687,c_339]) ).
cnf(c_5908,plain,
multiply(b,add(a,multiply(b,additive_inverse(sP0_iProver_def)))) = additive_identity,
inference(demodulation,[status(thm)],[c_5906,c_130]) ).
cnf(c_5935,plain,
multiply(additive_inverse(X0),multiply(multiply(additive_inverse(X0),X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_5717,c_127]) ).
cnf(c_5939,plain,
multiply(additive_inverse(X0),multiply(additive_inverse(X0),multiply(X0,X1))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_5935,c_127]) ).
cnf(c_6019,plain,
multiply(a,add(b,add(b,multiply(a,additive_inverse(sP1_iProver_def))))) = add(sP1_iProver_def,additive_identity),
inference(superposition,[status(thm)],[c_5886,c_338]) ).
cnf(c_6022,plain,
multiply(a,add(b,add(b,multiply(a,additive_inverse(sP1_iProver_def))))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_6019,c_131]) ).
cnf(c_6048,plain,
multiply(b,add(a,add(a,multiply(b,additive_inverse(sP0_iProver_def))))) = add(sP0_iProver_def,additive_identity),
inference(superposition,[status(thm)],[c_5908,c_339]) ).
cnf(c_6053,plain,
multiply(b,add(a,add(a,multiply(b,additive_inverse(sP0_iProver_def))))) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_6048,c_131]) ).
cnf(c_6223,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_130,c_342]) ).
cnf(c_6249,plain,
add(sP1_iProver_def,multiply(sP1_iProver_def,additive_inverse(multiply(b,b)))) = additive_identity,
inference(demodulation,[status(thm)],[c_6223,c_5303]) ).
cnf(c_7008,plain,
add(multiply(sP1_iProver_def,additive_inverse(multiply(b,b))),additive_inverse(additive_identity)) = additive_inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_6249,c_994]) ).
cnf(c_7010,plain,
add(additive_inverse(additive_identity),multiply(sP1_iProver_def,additive_inverse(multiply(b,b)))) = additive_inverse(sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_7008,c_129,c_128]) ).
cnf(c_7011,plain,
multiply(sP1_iProver_def,additive_inverse(multiply(b,b))) = additive_inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_7010,c_132,c_192]) ).
cnf(c_7027,plain,
multiply(sP0_iProver_def,multiply(b,additive_inverse(multiply(b,b)))) = multiply(b,additive_inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_7011,c_546]) ).
cnf(c_7028,plain,
multiply(b,additive_inverse(sP1_iProver_def)) = multiply(sP0_iProver_def,additive_inverse(b)),
inference(demodulation,[status(thm)],[c_7027,c_5648]) ).
cnf(c_7109,plain,
multiply(multiply(sP0_iProver_def,additive_inverse(b)),X0) = multiply(b,multiply(additive_inverse(sP1_iProver_def),X0)),
inference(superposition,[status(thm)],[c_7028,c_127]) ).
cnf(c_7120,plain,
multiply(b,multiply(additive_inverse(sP1_iProver_def),X0)) = multiply(sP0_iProver_def,multiply(additive_inverse(b),X0)),
inference(demodulation,[status(thm)],[c_7109,c_127]) ).
cnf(c_7827,plain,
multiply(a,additive_inverse(b)) = additive_inverse(sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_5686,c_7011]) ).
cnf(c_7833,plain,
multiply(a,multiply(additive_inverse(b),X0)) = multiply(additive_inverse(sP1_iProver_def),X0),
inference(superposition,[status(thm)],[c_7827,c_127]) ).
cnf(c_8150,plain,
multiply(additive_inverse(sP1_iProver_def),multiply(additive_inverse(b),b)) = multiply(a,b),
inference(superposition,[status(thm)],[c_5717,c_7833]) ).
cnf(c_8166,plain,
multiply(additive_inverse(sP1_iProver_def),multiply(additive_inverse(b),b)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_8150,c_124]) ).
cnf(c_13753,plain,
multiply(sP0_iProver_def,add(b,additive_inverse(multiply(a,sP1_iProver_def)))) = multiply(sP0_iProver_def,additive_identity),
inference(superposition,[status(thm)],[c_130,c_1100]) ).
cnf(c_13793,plain,
multiply(sP0_iProver_def,add(b,additive_inverse(multiply(a,sP1_iProver_def)))) = additive_identity,
inference(demodulation,[status(thm)],[c_13753,c_5303]) ).
cnf(c_13831,plain,
multiply(sP0_iProver_def,multiply(add(b,additive_inverse(multiply(a,sP1_iProver_def))),X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_13793,c_127]) ).
cnf(c_13997,plain,
multiply(sP1_iProver_def,add(a,additive_inverse(multiply(b,sP0_iProver_def)))) = multiply(sP1_iProver_def,additive_identity),
inference(superposition,[status(thm)],[c_130,c_1110]) ).
cnf(c_14038,plain,
multiply(sP1_iProver_def,add(a,additive_inverse(multiply(b,sP0_iProver_def)))) = additive_identity,
inference(demodulation,[status(thm)],[c_13997,c_5303]) ).
cnf(c_14491,plain,
multiply(sP1_iProver_def,multiply(add(a,additive_inverse(multiply(b,sP0_iProver_def))),X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_14038,c_127]) ).
cnf(c_17482,plain,
add(multiply(additive_identity,b),additive_inverse(multiply(a,b))) = additive_inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_131,c_1249]) ).
cnf(c_17483,plain,
add(multiply(additive_inverse(a),b),additive_inverse(multiply(additive_identity,b))) = additive_inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_130,c_1249]) ).
cnf(c_17521,plain,
add(additive_inverse(sP1_iProver_def),multiply(additive_identity,b)) = additive_inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_17482,c_128,c_124]) ).
cnf(c_17594,plain,
add(sP1_iProver_def,additive_inverse(sP1_iProver_def)) = multiply(additive_identity,b),
inference(superposition,[status(thm)],[c_17521,c_260]) ).
cnf(c_17597,plain,
multiply(additive_identity,b) = additive_identity,
inference(demodulation,[status(thm)],[c_17594,c_130]) ).
cnf(c_17841,plain,
multiply(additive_identity,multiply(b,X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_17597,c_127]) ).
cnf(c_17842,plain,
multiply(additive_identity,add(b,X0)) = add(multiply(additive_identity,X0),additive_identity),
inference(superposition,[status(thm)],[c_17597,c_352]) ).
cnf(c_17859,plain,
multiply(additive_identity,add(b,X0)) = add(additive_identity,multiply(additive_identity,X0)),
inference(theory_normalisation,[status(thm)],[c_17842,c_129,c_128]) ).
cnf(c_17860,plain,
multiply(additive_identity,add(b,X0)) = multiply(additive_identity,X0),
inference(demodulation,[status(thm)],[c_17859,c_132]) ).
cnf(c_17865,plain,
multiply(additive_identity,a) = multiply(additive_identity,sP0_iProver_def),
inference(superposition,[status(thm)],[c_123,c_17841]) ).
cnf(c_17884,plain,
multiply(additive_identity,multiply(sP0_iProver_def,additive_inverse(b))) = multiply(additive_identity,additive_inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_7028,c_17841]) ).
cnf(c_17935,plain,
add(multiply(X0,a),multiply(additive_identity,sP0_iProver_def)) = multiply(add(X0,additive_identity),a),
inference(superposition,[status(thm)],[c_17865,c_125]) ).
cnf(c_17944,plain,
add(multiply(X0,a),multiply(additive_identity,sP0_iProver_def)) = multiply(X0,a),
inference(demodulation,[status(thm)],[c_17935,c_131]) ).
cnf(c_18008,plain,
add(multiply(X0,a),additive_inverse(multiply(X0,a))) = additive_inverse(multiply(additive_identity,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_17944,c_1060]) ).
cnf(c_18028,plain,
additive_inverse(multiply(additive_identity,sP0_iProver_def)) = additive_identity,
inference(demodulation,[status(thm)],[c_18008,c_130]) ).
cnf(c_18337,plain,
multiply(additive_identity,sP0_iProver_def) = additive_inverse(additive_identity),
inference(superposition,[status(thm)],[c_18028,c_481]) ).
cnf(c_18346,plain,
multiply(additive_identity,sP0_iProver_def) = additive_identity,
inference(demodulation,[status(thm)],[c_18337,c_192]) ).
cnf(c_18376,plain,
multiply(additive_identity,a) = additive_identity,
inference(demodulation,[status(thm)],[c_17865,c_18346]) ).
cnf(c_18408,plain,
multiply(additive_identity,multiply(a,X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_18376,c_127]) ).
cnf(c_18901,plain,
multiply(additive_identity,b) = multiply(additive_identity,sP1_iProver_def),
inference(superposition,[status(thm)],[c_124,c_18408]) ).
cnf(c_18923,plain,
multiply(additive_identity,add(b,add(b,multiply(a,additive_inverse(sP1_iProver_def))))) = multiply(additive_identity,sP1_iProver_def),
inference(superposition,[status(thm)],[c_6022,c_18408]) ).
cnf(c_18938,plain,
multiply(additive_identity,sP1_iProver_def) = additive_identity,
inference(demodulation,[status(thm)],[c_18901,c_17597]) ).
cnf(c_18947,plain,
multiply(additive_identity,add(b,add(b,multiply(a,additive_inverse(sP1_iProver_def))))) = additive_identity,
inference(demodulation,[status(thm)],[c_18923,c_18938]) ).
cnf(c_18948,plain,
multiply(additive_identity,additive_inverse(sP1_iProver_def)) = additive_identity,
inference(demodulation,[status(thm)],[c_18947,c_17860,c_18408]) ).
cnf(c_22358,plain,
add(multiply(additive_inverse(a),b),additive_identity) = additive_inverse(sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_17483,c_192,c_17597]) ).
cnf(c_22362,plain,
multiply(additive_inverse(a),b) = additive_inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_22358,c_131]) ).
cnf(c_22395,plain,
multiply(additive_inverse(a),multiply(b,X0)) = multiply(additive_inverse(sP1_iProver_def),X0),
inference(superposition,[status(thm)],[c_22362,c_127]) ).
cnf(c_22415,plain,
multiply(additive_inverse(a),sP0_iProver_def) = multiply(additive_inverse(sP1_iProver_def),a),
inference(superposition,[status(thm)],[c_123,c_22395]) ).
cnf(c_23249,plain,
multiply(additive_identity,multiply(sP0_iProver_def,additive_inverse(b))) = additive_identity,
inference(light_normalisation,[status(thm)],[c_17884,c_18948]) ).
cnf(c_23258,plain,
multiply(additive_identity,add(X0,multiply(sP0_iProver_def,additive_inverse(b)))) = add(multiply(additive_identity,X0),additive_identity),
inference(superposition,[status(thm)],[c_23249,c_126]) ).
cnf(c_23266,plain,
multiply(additive_identity,add(X0,multiply(sP0_iProver_def,additive_inverse(b)))) = add(additive_identity,multiply(additive_identity,X0)),
inference(theory_normalisation,[status(thm)],[c_23258,c_129,c_128]) ).
cnf(c_23267,plain,
multiply(additive_identity,add(X0,multiply(sP0_iProver_def,additive_inverse(b)))) = multiply(additive_identity,X0),
inference(demodulation,[status(thm)],[c_23266,c_132]) ).
cnf(c_26547,plain,
multiply(additive_identity,add(X0,X1)) = multiply(additive_identity,X1),
inference(superposition,[status(thm)],[c_473,c_2110]) ).
cnf(c_26606,plain,
multiply(additive_identity,multiply(sP0_iProver_def,additive_inverse(b))) = multiply(additive_identity,X0),
inference(demodulation,[status(thm)],[c_23267,c_26547]) ).
cnf(c_26634,plain,
multiply(additive_identity,X0) = additive_identity,
inference(demodulation,[status(thm)],[c_26606,c_23249]) ).
cnf(c_33933,plain,
add(sP0_iProver_def,additive_inverse(multiply(additive_identity,a))) = additive_inverse(multiply(additive_inverse(b),a)),
inference(superposition,[status(thm)],[c_130,c_1544]) ).
cnf(c_33976,plain,
additive_inverse(multiply(additive_inverse(b),a)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_33933,c_131,c_192,c_26634]) ).
cnf(c_34030,plain,
multiply(additive_inverse(b),a) = additive_inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_33976,c_481]) ).
cnf(c_34083,plain,
multiply(additive_inverse(sP1_iProver_def),a) = multiply(a,additive_inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_34030,c_7833]) ).
cnf(c_34091,plain,
multiply(additive_inverse(a),sP0_iProver_def) = multiply(a,additive_inverse(sP0_iProver_def)),
inference(demodulation,[status(thm)],[c_22415,c_34083]) ).
cnf(c_34131,plain,
multiply(multiply(a,additive_inverse(sP0_iProver_def)),X0) = multiply(additive_inverse(a),multiply(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_34091,c_127]) ).
cnf(c_34141,plain,
multiply(additive_inverse(a),multiply(sP0_iProver_def,X0)) = multiply(a,multiply(additive_inverse(sP0_iProver_def),X0)),
inference(demodulation,[status(thm)],[c_34131,c_127]) ).
cnf(c_37245,plain,
additive_inverse(multiply(a,add(b,multiply(a,additive_inverse(sP1_iProver_def))))) = add(sP1_iProver_def,additive_inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_6022,c_1796]) ).
cnf(c_37291,plain,
additive_inverse(multiply(a,add(b,multiply(a,additive_inverse(sP1_iProver_def))))) = additive_identity,
inference(demodulation,[status(thm)],[c_37245,c_130]) ).
cnf(c_37328,plain,
multiply(additive_identity,multiply(additive_identity,multiply(multiply(a,add(b,multiply(a,additive_inverse(sP1_iProver_def)))),X0))) = multiply(multiply(a,add(b,multiply(a,additive_inverse(sP1_iProver_def)))),X0),
inference(superposition,[status(thm)],[c_37291,c_5939]) ).
cnf(c_37379,plain,
multiply(a,multiply(add(b,multiply(a,additive_inverse(sP1_iProver_def))),X0)) = additive_identity,
inference(demodulation,[status(thm)],[c_37328,c_127,c_26634]) ).
cnf(c_40365,plain,
additive_inverse(multiply(b,add(a,multiply(b,additive_inverse(sP0_iProver_def))))) = add(sP0_iProver_def,additive_inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_6053,c_1900]) ).
cnf(c_40367,plain,
add(sP0_iProver_def,additive_inverse(multiply(b,additive_identity))) = additive_inverse(multiply(b,additive_inverse(a))),
inference(superposition,[status(thm)],[c_130,c_1900]) ).
cnf(c_40415,plain,
additive_inverse(multiply(b,additive_inverse(a))) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_40367,c_131,c_192,c_5303]) ).
cnf(c_40418,plain,
additive_inverse(multiply(b,add(a,multiply(b,additive_inverse(sP0_iProver_def))))) = additive_identity,
inference(demodulation,[status(thm)],[c_40365,c_130]) ).
cnf(c_40586,plain,
multiply(b,additive_inverse(a)) = additive_inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_40415,c_481]) ).
cnf(c_40623,plain,
multiply(sP0_iProver_def,multiply(a,additive_inverse(a))) = additive_inverse(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_5697,c_40586]) ).
cnf(c_40670,plain,
multiply(b,multiply(additive_inverse(a),X0)) = multiply(additive_inverse(sP0_iProver_def),X0),
inference(superposition,[status(thm)],[c_40586,c_127]) ).
cnf(c_40677,plain,
multiply(additive_inverse(a),additive_inverse(sP0_iProver_def)) = multiply(additive_inverse(sP1_iProver_def),additive_inverse(a)),
inference(superposition,[status(thm)],[c_40586,c_22395]) ).
cnf(c_40685,plain,
multiply(a,additive_inverse(sP0_iProver_def)) = multiply(sP1_iProver_def,additive_inverse(a)),
inference(superposition,[status(thm)],[c_40586,c_209]) ).
cnf(c_40697,plain,
multiply(additive_inverse(a),sP0_iProver_def) = multiply(sP1_iProver_def,additive_inverse(a)),
inference(demodulation,[status(thm)],[c_34091,c_40685]) ).
cnf(c_40698,plain,
multiply(additive_inverse(sP1_iProver_def),a) = multiply(sP1_iProver_def,additive_inverse(a)),
inference(demodulation,[status(thm)],[c_34083,c_40685]) ).
cnf(c_40791,plain,
multiply(additive_inverse(sP0_iProver_def),b) = multiply(b,additive_inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_22362,c_40670]) ).
cnf(c_40818,plain,
multiply(additive_inverse(sP0_iProver_def),b) = multiply(sP0_iProver_def,additive_inverse(b)),
inference(demodulation,[status(thm)],[c_40791,c_7028]) ).
cnf(c_41228,plain,
multiply(b,multiply(sP1_iProver_def,additive_inverse(a))) = multiply(additive_inverse(sP0_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_40697,c_40670]) ).
cnf(c_41229,plain,
multiply(additive_inverse(sP0_iProver_def),sP0_iProver_def) = multiply(sP0_iProver_def,additive_inverse(sP0_iProver_def)),
inference(demodulation,[status(thm)],[c_41228,c_546,c_40586]) ).
cnf(c_41848,plain,
multiply(multiply(sP0_iProver_def,additive_inverse(sP0_iProver_def)),X0) = multiply(additive_inverse(sP0_iProver_def),multiply(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_41229,c_127]) ).
cnf(c_41858,plain,
multiply(additive_inverse(sP0_iProver_def),multiply(sP0_iProver_def,additive_inverse(sP0_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_41229,c_5717]) ).
cnf(c_41860,plain,
multiply(additive_inverse(sP0_iProver_def),multiply(sP0_iProver_def,X0)) = multiply(sP0_iProver_def,multiply(additive_inverse(sP0_iProver_def),X0)),
inference(demodulation,[status(thm)],[c_41848,c_127]) ).
cnf(c_41996,plain,
multiply(additive_identity,multiply(additive_identity,multiply(multiply(b,add(a,multiply(b,additive_inverse(sP0_iProver_def)))),X0))) = multiply(multiply(b,add(a,multiply(b,additive_inverse(sP0_iProver_def)))),X0),
inference(superposition,[status(thm)],[c_40418,c_5939]) ).
cnf(c_42047,plain,
multiply(b,multiply(add(a,multiply(b,additive_inverse(sP0_iProver_def))),X0)) = additive_identity,
inference(demodulation,[status(thm)],[c_41996,c_127,c_26634]) ).
cnf(c_42623,plain,
multiply(a,multiply(additive_inverse(sP0_iProver_def),multiply(sP0_iProver_def,additive_inverse(sP0_iProver_def)))) = multiply(additive_inverse(a),additive_inverse(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_5673,c_34141]) ).
cnf(c_42655,plain,
multiply(additive_inverse(sP1_iProver_def),additive_inverse(a)) = multiply(sP1_iProver_def,a),
inference(demodulation,[status(thm)],[c_42623,c_240,c_40677,c_41858]) ).
cnf(c_42674,plain,
multiply(additive_inverse(a),additive_inverse(sP0_iProver_def)) = multiply(sP1_iProver_def,a),
inference(demodulation,[status(thm)],[c_40677,c_42655]) ).
cnf(c_42911,plain,
multiply(sP0_iProver_def,multiply(additive_inverse(b),additive_inverse(a))) = multiply(b,multiply(sP1_iProver_def,a)),
inference(superposition,[status(thm)],[c_42655,c_7120]) ).
cnf(c_42913,plain,
multiply(sP0_iProver_def,multiply(additive_inverse(b),additive_inverse(a))) = multiply(sP0_iProver_def,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_42911,c_123,c_546]) ).
cnf(c_42974,plain,
multiply(additive_inverse(sP0_iProver_def),additive_inverse(sP0_iProver_def)) = multiply(b,multiply(sP1_iProver_def,a)),
inference(superposition,[status(thm)],[c_42674,c_40670]) ).
cnf(c_42975,plain,
multiply(additive_inverse(sP0_iProver_def),additive_inverse(sP0_iProver_def)) = multiply(sP0_iProver_def,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_42974,c_123,c_546]) ).
cnf(c_43070,plain,
multiply(additive_inverse(sP0_iProver_def),multiply(sP0_iProver_def,sP0_iProver_def)) = additive_inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_42975,c_135]) ).
cnf(c_43107,plain,
multiply(additive_inverse(sP0_iProver_def),multiply(multiply(sP0_iProver_def,sP0_iProver_def),X0)) = multiply(additive_inverse(sP0_iProver_def),X0),
inference(superposition,[status(thm)],[c_43070,c_127]) ).
cnf(c_43115,plain,
multiply(additive_inverse(sP0_iProver_def),multiply(sP0_iProver_def,multiply(sP0_iProver_def,X0))) = multiply(additive_inverse(sP0_iProver_def),X0),
inference(demodulation,[status(thm)],[c_43107,c_127]) ).
cnf(c_48024,plain,
multiply(additive_inverse(sP0_iProver_def),multiply(a,additive_inverse(a))) = multiply(additive_inverse(sP0_iProver_def),multiply(sP0_iProver_def,additive_inverse(sP0_iProver_def))),
inference(superposition,[status(thm)],[c_40623,c_43115]) ).
cnf(c_48058,plain,
multiply(additive_inverse(sP0_iProver_def),multiply(a,additive_inverse(a))) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_48024,c_135,c_41860,c_42975]) ).
cnf(c_56372,plain,
multiply(sP0_iProver_def,multiply(add(b,additive_inverse(multiply(a,sP1_iProver_def))),X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_13831,c_26634]) ).
cnf(c_56382,plain,
multiply(sP0_iProver_def,multiply(additive_inverse(add(b,additive_inverse(multiply(a,sP1_iProver_def)))),X0)) = additive_identity,
inference(superposition,[status(thm)],[c_5676,c_56372]) ).
cnf(c_56402,plain,
multiply(sP0_iProver_def,multiply(add(additive_inverse(b),multiply(a,sP1_iProver_def)),X0)) = additive_identity,
inference(demodulation,[status(thm)],[c_56382,c_1346]) ).
cnf(c_57473,plain,
multiply(sP1_iProver_def,multiply(add(a,additive_inverse(multiply(b,sP0_iProver_def))),X0)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_14491,c_26634]) ).
cnf(c_57483,plain,
multiply(sP1_iProver_def,multiply(additive_inverse(add(a,additive_inverse(multiply(b,sP0_iProver_def)))),X0)) = additive_identity,
inference(superposition,[status(thm)],[c_5676,c_57473]) ).
cnf(c_57502,plain,
multiply(sP1_iProver_def,multiply(add(additive_inverse(a),multiply(b,sP0_iProver_def)),X0)) = additive_identity,
inference(demodulation,[status(thm)],[c_57483,c_1346]) ).
cnf(c_69616,plain,
multiply(add(b,multiply(a,additive_inverse(sP1_iProver_def))),a) = multiply(add(b,multiply(a,additive_inverse(sP1_iProver_def))),additive_identity),
inference(superposition,[status(thm)],[c_37379,c_214]) ).
cnf(c_69617,plain,
multiply(add(a,multiply(b,additive_inverse(sP0_iProver_def))),b) = multiply(add(a,multiply(b,additive_inverse(sP0_iProver_def))),additive_identity),
inference(superposition,[status(thm)],[c_42047,c_214]) ).
cnf(c_69660,plain,
multiply(add(additive_inverse(b),multiply(a,sP1_iProver_def)),additive_identity) = multiply(add(additive_inverse(b),multiply(a,sP1_iProver_def)),sP0_iProver_def),
inference(superposition,[status(thm)],[c_56402,c_214]) ).
cnf(c_69661,plain,
multiply(add(additive_inverse(a),multiply(b,sP0_iProver_def)),additive_identity) = multiply(add(additive_inverse(a),multiply(b,sP0_iProver_def)),sP1_iProver_def),
inference(superposition,[status(thm)],[c_57502,c_214]) ).
cnf(c_70293,plain,
multiply(add(additive_inverse(a),multiply(b,sP0_iProver_def)),sP1_iProver_def) = additive_identity,
inference(demodulation,[status(thm)],[c_69661,c_5303]) ).
cnf(c_70294,plain,
multiply(add(additive_inverse(b),multiply(a,sP1_iProver_def)),sP0_iProver_def) = additive_identity,
inference(demodulation,[status(thm)],[c_69660,c_5303]) ).
cnf(c_70299,plain,
multiply(add(a,multiply(b,additive_inverse(sP0_iProver_def))),b) = additive_identity,
inference(demodulation,[status(thm)],[c_69617,c_5303]) ).
cnf(c_70300,plain,
multiply(add(b,multiply(a,additive_inverse(sP1_iProver_def))),a) = additive_identity,
inference(demodulation,[status(thm)],[c_69616,c_5303]) ).
cnf(c_72733,plain,
multiply(add(X0,add(additive_inverse(a),multiply(b,sP0_iProver_def))),sP1_iProver_def) = add(multiply(X0,sP1_iProver_def),additive_identity),
inference(superposition,[status(thm)],[c_70293,c_125]) ).
cnf(c_72747,plain,
multiply(add(X0,add(additive_inverse(a),multiply(b,sP0_iProver_def))),sP1_iProver_def) = add(additive_identity,multiply(X0,sP1_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_72733,c_129,c_128]) ).
cnf(c_72748,plain,
multiply(add(X0,add(additive_inverse(a),multiply(b,sP0_iProver_def))),sP1_iProver_def) = multiply(X0,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_72747,c_132]) ).
cnf(c_72773,plain,
multiply(add(X0,add(additive_inverse(b),multiply(a,sP1_iProver_def))),sP0_iProver_def) = add(multiply(X0,sP0_iProver_def),additive_identity),
inference(superposition,[status(thm)],[c_70294,c_125]) ).
cnf(c_72787,plain,
multiply(add(X0,add(additive_inverse(b),multiply(a,sP1_iProver_def))),sP0_iProver_def) = add(additive_identity,multiply(X0,sP0_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_72773,c_129,c_128]) ).
cnf(c_72788,plain,
multiply(add(X0,add(additive_inverse(b),multiply(a,sP1_iProver_def))),sP0_iProver_def) = multiply(X0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_72787,c_132]) ).
cnf(c_73229,plain,
multiply(multiply(b,sP0_iProver_def),sP1_iProver_def) = multiply(a,sP1_iProver_def),
inference(superposition,[status(thm)],[c_260,c_72748]) ).
cnf(c_73257,plain,
multiply(b,multiply(sP0_iProver_def,sP1_iProver_def)) = multiply(a,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_73229,c_127]) ).
cnf(c_73409,plain,
multiply(multiply(a,sP1_iProver_def),sP0_iProver_def) = multiply(b,sP0_iProver_def),
inference(superposition,[status(thm)],[c_260,c_72788]) ).
cnf(c_73437,plain,
multiply(a,multiply(sP1_iProver_def,sP0_iProver_def)) = multiply(b,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_73409,c_127]) ).
cnf(c_73749,plain,
multiply(b,multiply(b,sP0_iProver_def)) = multiply(sP0_iProver_def,multiply(sP1_iProver_def,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_73437,c_210]) ).
cnf(c_73752,plain,
multiply(sP0_iProver_def,multiply(sP1_iProver_def,sP0_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_73749,c_857]) ).
cnf(c_74916,plain,
add(multiply(multiply(b,additive_inverse(sP0_iProver_def)),b),additive_inverse(additive_identity)) = additive_inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_70299,c_1249]) ).
cnf(c_74920,plain,
add(additive_inverse(additive_identity),multiply(multiply(b,additive_inverse(sP0_iProver_def)),b)) = additive_inverse(sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_74916,c_129,c_128]) ).
cnf(c_74921,plain,
multiply(b,multiply(sP0_iProver_def,additive_inverse(b))) = additive_inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_74920,c_132,c_127,c_192,c_40818]) ).
cnf(c_74954,plain,
multiply(b,multiply(multiply(sP0_iProver_def,additive_inverse(b)),X0)) = multiply(additive_inverse(sP1_iProver_def),X0),
inference(superposition,[status(thm)],[c_74921,c_127]) ).
cnf(c_74980,plain,
multiply(b,multiply(sP0_iProver_def,multiply(additive_inverse(b),X0))) = multiply(additive_inverse(sP1_iProver_def),X0),
inference(demodulation,[status(thm)],[c_74954,c_127]) ).
cnf(c_76188,plain,
add(multiply(multiply(a,additive_inverse(sP1_iProver_def)),a),additive_inverse(additive_identity)) = additive_inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_70300,c_1546]) ).
cnf(c_76194,plain,
add(additive_inverse(additive_identity),multiply(multiply(a,additive_inverse(sP1_iProver_def)),a)) = additive_inverse(sP0_iProver_def),
inference(theory_normalisation,[status(thm)],[c_76188,c_129,c_128]) ).
cnf(c_76195,plain,
multiply(a,multiply(sP1_iProver_def,additive_inverse(a))) = additive_inverse(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_76194,c_132,c_127,c_192,c_40698]) ).
cnf(c_76275,plain,
multiply(additive_inverse(a),multiply(additive_inverse(a),additive_inverse(sP0_iProver_def))) = additive_inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_76195,c_5939]) ).
cnf(c_76303,plain,
multiply(additive_inverse(a),multiply(sP1_iProver_def,a)) = additive_inverse(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_76275,c_42674]) ).
cnf(c_76339,plain,
multiply(additive_inverse(a),multiply(multiply(sP1_iProver_def,a),X0)) = multiply(additive_inverse(sP0_iProver_def),X0),
inference(superposition,[status(thm)],[c_76303,c_127]) ).
cnf(c_76354,plain,
multiply(additive_inverse(a),multiply(sP1_iProver_def,multiply(a,X0))) = multiply(additive_inverse(sP0_iProver_def),X0),
inference(demodulation,[status(thm)],[c_76339,c_127]) ).
cnf(c_76905,plain,
multiply(additive_inverse(sP1_iProver_def),additive_inverse(a)) = multiply(b,multiply(sP0_iProver_def,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_42913,c_74980]) ).
cnf(c_76918,plain,
multiply(additive_inverse(sP1_iProver_def),multiply(additive_inverse(b),b)) = multiply(b,multiply(sP0_iProver_def,b)),
inference(superposition,[status(thm)],[c_5717,c_74980]) ).
cnf(c_76961,plain,
multiply(b,multiply(sP0_iProver_def,sP0_iProver_def)) = multiply(sP1_iProver_def,a),
inference(demodulation,[status(thm)],[c_76905,c_42655]) ).
cnf(c_76965,plain,
multiply(b,multiply(sP0_iProver_def,b)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_76918,c_8166]) ).
cnf(c_78381,plain,
multiply(additive_inverse(a),multiply(sP1_iProver_def,additive_inverse(a))) = multiply(additive_inverse(sP0_iProver_def),multiply(a,additive_inverse(a))),
inference(superposition,[status(thm)],[c_5673,c_76354]) ).
cnf(c_78430,plain,
multiply(additive_inverse(a),multiply(sP1_iProver_def,additive_inverse(a))) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_78381,c_48058]) ).
cnf(c_78940,plain,
multiply(a,multiply(a,sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_78430,c_5748]) ).
cnf(c_78947,plain,
multiply(a,multiply(sP1_iProver_def,a)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_78940,c_240]) ).
cnf(c_79076,plain,
multiply(a,multiply(multiply(sP1_iProver_def,a),X0)) = multiply(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_78947,c_127]) ).
cnf(c_79102,plain,
multiply(a,multiply(sP1_iProver_def,multiply(a,X0))) = multiply(sP0_iProver_def,X0),
inference(demodulation,[status(thm)],[c_79076,c_127]) ).
cnf(c_79297,plain,
multiply(a,multiply(sP1_iProver_def,sP1_iProver_def)) = multiply(sP0_iProver_def,b),
inference(superposition,[status(thm)],[c_124,c_79102]) ).
cnf(c_79542,plain,
multiply(b,multiply(sP0_iProver_def,b)) = multiply(sP0_iProver_def,multiply(sP1_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_79297,c_210]) ).
cnf(c_79547,plain,
multiply(sP0_iProver_def,multiply(sP1_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_79542,c_76965]) ).
cnf(c_80047,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_79547,c_213]) ).
cnf(c_80050,plain,
multiply(sP0_iProver_def,multiply(multiply(sP1_iProver_def,sP1_iProver_def),X0)) = multiply(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_79547,c_127]) ).
cnf(c_80068,plain,
multiply(sP0_iProver_def,multiply(sP1_iProver_def,multiply(sP1_iProver_def,X0))) = multiply(sP1_iProver_def,X0),
inference(demodulation,[status(thm)],[c_80050,c_127]) ).
cnf(c_80090,plain,
multiply(sP0_iProver_def,multiply(multiply(sP0_iProver_def,sP1_iProver_def),X0)) = multiply(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_80047,c_127]) ).
cnf(c_80105,plain,
multiply(sP0_iProver_def,multiply(sP0_iProver_def,multiply(sP1_iProver_def,X0))) = multiply(sP1_iProver_def,X0),
inference(demodulation,[status(thm)],[c_80090,c_127]) ).
cnf(c_80504,plain,
multiply(sP0_iProver_def,sP1_iProver_def) = multiply(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_135,c_80068]) ).
cnf(c_80900,plain,
add(multiply(sP1_iProver_def,X0),multiply(sP0_iProver_def,sP1_iProver_def)) = multiply(sP1_iProver_def,add(X0,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_80504,c_126]) ).
cnf(c_80901,plain,
add(multiply(X0,sP1_iProver_def),multiply(sP0_iProver_def,sP1_iProver_def)) = multiply(add(sP1_iProver_def,X0),sP1_iProver_def),
inference(superposition,[status(thm)],[c_80504,c_288]) ).
cnf(c_80926,plain,
multiply(add(sP0_iProver_def,X0),sP1_iProver_def) = multiply(add(sP1_iProver_def,X0),sP1_iProver_def),
inference(demodulation,[status(thm)],[c_80901,c_288]) ).
cnf(c_80927,plain,
add(multiply(sP0_iProver_def,sP1_iProver_def),multiply(sP1_iProver_def,X0)) = multiply(sP1_iProver_def,add(X0,sP1_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_80900,c_129,c_128]) ).
cnf(c_81206,plain,
multiply(sP0_iProver_def,sP0_iProver_def) = multiply(sP1_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_73752,c_80105]) ).
cnf(c_96171,plain,
multiply(add(sP0_iProver_def,additive_inverse(sP1_iProver_def)),sP1_iProver_def) = multiply(additive_identity,sP1_iProver_def),
inference(superposition,[status(thm)],[c_130,c_80926]) ).
cnf(c_96239,plain,
multiply(add(sP0_iProver_def,additive_inverse(sP1_iProver_def)),sP1_iProver_def) = additive_identity,
inference(demodulation,[status(thm)],[c_96171,c_26634]) ).
cnf(c_96412,plain,
multiply(add(sP0_iProver_def,additive_inverse(sP1_iProver_def)),multiply(sP1_iProver_def,X0)) = multiply(additive_identity,X0),
inference(superposition,[status(thm)],[c_96239,c_127]) ).
cnf(c_96423,plain,
multiply(add(sP0_iProver_def,additive_inverse(sP1_iProver_def)),multiply(sP1_iProver_def,X0)) = additive_identity,
inference(demodulation,[status(thm)],[c_96412,c_26634]) ).
cnf(c_96527,plain,
multiply(sP1_iProver_def,add(sP0_iProver_def,additive_inverse(sP1_iProver_def))) = multiply(sP1_iProver_def,additive_identity),
inference(superposition,[status(thm)],[c_96423,c_214]) ).
cnf(c_96532,plain,
multiply(sP1_iProver_def,add(sP0_iProver_def,additive_inverse(sP1_iProver_def))) = additive_identity,
inference(demodulation,[status(thm)],[c_96527,c_5303]) ).
cnf(c_97369,plain,
multiply(sP1_iProver_def,add(add(sP0_iProver_def,additive_inverse(sP1_iProver_def)),sP1_iProver_def)) = add(multiply(sP0_iProver_def,sP1_iProver_def),additive_identity),
inference(superposition,[status(thm)],[c_96532,c_80927]) ).
cnf(c_97386,plain,
multiply(sP1_iProver_def,add(sP0_iProver_def,add(sP1_iProver_def,additive_inverse(sP1_iProver_def)))) = add(additive_identity,multiply(sP0_iProver_def,sP1_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_97369,c_129,c_128]) ).
cnf(c_97387,plain,
multiply(sP0_iProver_def,sP0_iProver_def) = multiply(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_97386,c_132,c_131,c_130,c_81206]) ).
cnf(c_97416,plain,
multiply(b,multiply(sP0_iProver_def,sP0_iProver_def)) = multiply(a,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_73257,c_97387]) ).
cnf(c_97417,plain,
multiply(a,sP1_iProver_def) = multiply(sP1_iProver_def,a),
inference(demodulation,[status(thm)],[c_97416,c_76961]) ).
cnf(c_97441,plain,
multiply(a,multiply(sP1_iProver_def,a)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_856,c_97417]) ).
cnf(c_97442,plain,
sP0_iProver_def = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_97441,c_78947]) ).
cnf(c_97443,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_97442,c_191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : RNG009-7 : TPTP v8.2.0. Released v1.0.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jun 18 14:42:39 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.50 Running UEQ theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 84.41/11.72 % SZS status Started for theBenchmark.p
% 84.41/11.72 % SZS status Unsatisfiable for theBenchmark.p
% 84.41/11.72
% 84.41/11.72 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 84.41/11.72
% 84.41/11.72 ------ iProver source info
% 84.41/11.72
% 84.41/11.72 git: date: 2024-06-12 09:56:46 +0000
% 84.41/11.72 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 84.41/11.72 git: non_committed_changes: false
% 84.41/11.72
% 84.41/11.72 ------ Parsing...successful
% 84.41/11.72
% 84.41/11.72
% 84.41/11.72
% 84.41/11.72 ------ Preprocessing... sup_sim: 0 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
% 84.41/11.72
% 84.41/11.72 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 84.41/11.72
% 84.41/11.72 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 84.41/11.72 ------ Proving...
% 84.41/11.72 ------ Problem Properties
% 84.41/11.72
% 84.41/11.72
% 84.41/11.72 clauses 13
% 84.41/11.72 conjectures 11
% 84.41/11.72 EPR 2
% 84.41/11.72 Horn 13
% 84.41/11.72 unary 13
% 84.41/11.72 binary 0
% 84.41/11.72 lits 13
% 84.41/11.72 lits eq 13
% 84.41/11.72 fd_pure 0
% 84.41/11.72 fd_pseudo 0
% 84.41/11.72 fd_cond 0
% 84.41/11.72 fd_pseudo_cond 0
% 84.41/11.72 AC symbols 1
% 84.41/11.72
% 84.41/11.72 ------ Input Options Time Limit: Unbounded
% 84.41/11.72
% 84.41/11.72
% 84.41/11.72 ------
% 84.41/11.72 Current options:
% 84.41/11.72 ------
% 84.41/11.72
% 84.41/11.72
% 84.41/11.72
% 84.41/11.72
% 84.41/11.72 ------ Proving...
% 84.41/11.72
% 84.41/11.72
% 84.41/11.72 % SZS status Unsatisfiable for theBenchmark.p
% 84.41/11.72
% 84.41/11.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 84.41/11.73
% 84.41/11.73
%------------------------------------------------------------------------------