TSTP Solution File: HEN011-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : HEN011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 : Thu Aug 31 01:56:03 EDT 2023
% Result : Unsatisfiable 35.14s 5.71s
% Output : CNFRefutation 35.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 16
% Syntax : Number of clauses : 296 ( 203 unt; 0 nHn; 181 RR)
% Number of literals : 402 ( 191 equ; 107 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 242 ( 75 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
quotient(identity,a,idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_a) ).
cnf(c_50,plain,
quotient(identity,b,idQb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_b) ).
cnf(c_51,plain,
quotient(identity,idQb,idQ_idQb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQb) ).
cnf(c_52,plain,
quotient(idQa,idQ_idQb,idQa_Q__idQ_idQb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idQa_divide_idQ_idQb) ).
cnf(c_53,plain,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQa) ).
cnf(c_54,plain,
quotient(idQb,idQ_idQa,idQb_Q__idQ_idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idQb_divide_idQ_idQa) ).
cnf(c_55,negated_conjecture,
idQa_Q__idQ_idQb != idQb_Q__idQ_idQa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_idQa_Q__idQ_idQb_equals_idQb_Q__idQ_idQa) ).
cnf(c_56,plain,
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
cnf(c_57,plain,
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
cnf(c_58,plain,
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).
cnf(c_59,plain,
( ~ quotient(X0,X1,X2)
| ~ quotient(X0,X3,X4)
| ~ quotient(X1,X3,X5)
| ~ quotient(X2,X3,X6)
| ~ quotient(X4,X5,X7)
| less_equal(X7,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
cnf(c_60,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
cnf(c_61,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).
cnf(c_62,plain,
less_equal(X0,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN001-0.ax',identity_is_largest) ).
cnf(c_71,plain,
divide(identity,a) = idQa,
inference(well_definedness,[status(thm)],[c_49]) ).
cnf(c_72,plain,
divide(identity,b) = idQb,
inference(well_definedness,[status(thm)],[c_50]) ).
cnf(c_73,plain,
divide(identity,idQb) = idQ_idQb,
inference(well_definedness,[status(thm)],[c_51]) ).
cnf(c_74,plain,
divide(idQa,idQ_idQb) = idQa_Q__idQ_idQb,
inference(well_definedness,[status(thm)],[c_52]) ).
cnf(c_75,plain,
divide(identity,idQa) = idQ_idQa,
inference(well_definedness,[status(thm)],[c_53]) ).
cnf(c_76,plain,
divide(idQb,idQ_idQa) = idQb_Q__idQ_idQa,
inference(well_definedness,[status(thm)],[c_54]) ).
cnf(c_77,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(well_definedness,[status(thm)],[c_56]) ).
cnf(c_78,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(well_definedness,[status(thm)],[c_57]) ).
cnf(c_79,plain,
( divide(X0,X1) != X2
| less_equal(X2,X0) ),
inference(well_definedness,[status(thm)],[c_58]) ).
cnf(c_81,plain,
( divide(X0,X1) != X2
| divide(X0,X3) != X4
| divide(X1,X3) != X5
| divide(X2,X3) != X6
| divide(X4,X5) != X7
| less_equal(X7,X6) ),
inference(well_definedness,[status(thm)],[c_59]) ).
cnf(c_91,plain,
( less_equal(X2,X0)
| divide(X0,X1) != X2 ),
inference(prop_impl_just,[status(thm)],[c_79]) ).
cnf(c_92,plain,
( divide(X0,X1) != X2
| less_equal(X2,X0) ),
inference(renaming,[status(thm)],[c_91]) ).
cnf(c_180,plain,
less_equal(divide(X0,X1),X0),
inference(unflattening,[status(thm)],[c_92]) ).
cnf(c_194,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(unflattening,[status(thm)],[c_81]) ).
cnf(c_202,plain,
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
inference(prop_impl_just,[status(thm)],[c_78]) ).
cnf(c_203,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(renaming,[status(thm)],[c_202]) ).
cnf(c_204,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(prop_impl_just,[status(thm)],[c_77]) ).
cnf(c_278,plain,
X0 = X0,
theory(equality) ).
cnf(c_280,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_469,plain,
less_equal(idQa_Q__idQ_idQb,idQa),
inference(superposition,[status(thm)],[c_74,c_180]) ).
cnf(c_470,plain,
less_equal(idQb_Q__idQ_idQa,idQb),
inference(superposition,[status(thm)],[c_76,c_180]) ).
cnf(c_473,plain,
divide(zero,X0) = zero,
inference(superposition,[status(thm)],[c_60,c_204]) ).
cnf(c_474,plain,
divide(X0,identity) = zero,
inference(superposition,[status(thm)],[c_62,c_204]) ).
cnf(c_475,plain,
divide(divide(X0,X1),X0) = zero,
inference(superposition,[status(thm)],[c_180,c_204]) ).
cnf(c_485,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_60,c_61]) ).
cnf(c_487,plain,
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(superposition,[status(thm)],[c_180,c_61]) ).
cnf(c_499,plain,
divide(idQa_Q__idQ_idQb,idQa) = zero,
inference(superposition,[status(thm)],[c_469,c_204]) ).
cnf(c_503,plain,
divide(idQb_Q__idQ_idQa,idQb) = zero,
inference(superposition,[status(thm)],[c_470,c_204]) ).
cnf(c_573,plain,
( idQa_Q__idQ_idQb != X0
| idQb_Q__idQ_idQa != X0
| idQa_Q__idQ_idQb = idQb_Q__idQ_idQa ),
inference(instantiation,[status(thm)],[c_280]) ).
cnf(c_619,plain,
( divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa) != zero
| less_equal(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa) ),
inference(instantiation,[status(thm)],[c_203]) ).
cnf(c_624,plain,
( idQa_Q__idQ_idQb != idQa_Q__idQ_idQb
| idQb_Q__idQ_idQa != idQa_Q__idQ_idQb
| idQa_Q__idQ_idQb = idQb_Q__idQ_idQa ),
inference(instantiation,[status(thm)],[c_573]) ).
cnf(c_625,plain,
idQa_Q__idQ_idQb = idQa_Q__idQ_idQb,
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_628,plain,
less_equal(divide(idQa,divide(X0,a)),divide(divide(identity,X0),a)),
inference(superposition,[status(thm)],[c_71,c_194]) ).
cnf(c_629,plain,
less_equal(divide(idQb,divide(X0,b)),divide(divide(identity,X0),b)),
inference(superposition,[status(thm)],[c_72,c_194]) ).
cnf(c_631,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(X0,idQ_idQb)),divide(divide(idQa,X0),idQ_idQb)),
inference(superposition,[status(thm)],[c_74,c_194]) ).
cnf(c_633,plain,
less_equal(divide(idQb_Q__idQ_idQa,divide(X0,idQ_idQa)),divide(divide(idQb,X0),idQ_idQa)),
inference(superposition,[status(thm)],[c_76,c_194]) ).
cnf(c_639,plain,
less_equal(divide(divide(X0,a),idQa),divide(divide(X0,identity),a)),
inference(superposition,[status(thm)],[c_71,c_194]) ).
cnf(c_640,plain,
less_equal(divide(divide(X0,b),idQb),divide(divide(X0,identity),b)),
inference(superposition,[status(thm)],[c_72,c_194]) ).
cnf(c_641,plain,
less_equal(divide(divide(X0,idQb),idQ_idQb),divide(divide(X0,identity),idQb)),
inference(superposition,[status(thm)],[c_73,c_194]) ).
cnf(c_642,plain,
less_equal(divide(divide(X0,idQ_idQb),idQa_Q__idQ_idQb),divide(divide(X0,idQa),idQ_idQb)),
inference(superposition,[status(thm)],[c_74,c_194]) ).
cnf(c_643,plain,
less_equal(divide(divide(X0,idQa),idQ_idQa),divide(divide(X0,identity),idQa)),
inference(superposition,[status(thm)],[c_75,c_194]) ).
cnf(c_644,plain,
less_equal(divide(divide(X0,idQ_idQa),idQb_Q__idQ_idQa),divide(divide(X0,idQb),idQ_idQa)),
inference(superposition,[status(thm)],[c_76,c_194]) ).
cnf(c_645,plain,
less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
inference(superposition,[status(thm)],[c_473,c_194]) ).
cnf(c_648,plain,
less_equal(divide(divide(X0,idQa),zero),divide(divide(X0,idQa_Q__idQ_idQb),idQa)),
inference(superposition,[status(thm)],[c_499,c_194]) ).
cnf(c_649,plain,
less_equal(divide(divide(X0,idQb),zero),divide(divide(X0,idQb_Q__idQ_idQa),idQb)),
inference(superposition,[status(thm)],[c_503,c_194]) ).
cnf(c_663,plain,
( ~ less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2)))
| divide(divide(X0,X2),divide(X1,X2)) = divide(divide(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_194,c_61]) ).
cnf(c_664,plain,
divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
inference(superposition,[status(thm)],[c_194,c_204]) ).
cnf(c_673,plain,
less_equal(divide(divide(X0,idQa),idQ_idQa),divide(zero,idQa)),
inference(light_normalisation,[status(thm)],[c_643,c_474]) ).
cnf(c_674,plain,
less_equal(divide(divide(X0,idQb),idQ_idQb),divide(zero,idQb)),
inference(light_normalisation,[status(thm)],[c_641,c_474]) ).
cnf(c_675,plain,
less_equal(divide(divide(X0,b),idQb),divide(zero,b)),
inference(light_normalisation,[status(thm)],[c_640,c_474]) ).
cnf(c_676,plain,
less_equal(divide(divide(X0,a),idQa),divide(zero,a)),
inference(light_normalisation,[status(thm)],[c_639,c_474]) ).
cnf(c_719,plain,
( ~ less_equal(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa)
| ~ less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb)
| idQb_Q__idQ_idQa = idQa_Q__idQ_idQb ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_775,plain,
divide(divide(idQa_Q__idQ_idQb,divide(X0,idQ_idQb)),divide(divide(idQa,X0),idQ_idQb)) = zero,
inference(superposition,[status(thm)],[c_74,c_664]) ).
cnf(c_777,plain,
divide(divide(idQb_Q__idQ_idQa,divide(X0,idQ_idQa)),divide(divide(idQb,X0),idQ_idQa)) = zero,
inference(superposition,[status(thm)],[c_76,c_664]) ).
cnf(c_1033,plain,
( ~ less_equal(zero,divide(divide(X0,X0),divide(X1,X0)))
| divide(divide(X0,X0),divide(X1,X0)) = divide(divide(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_475,c_663]) ).
cnf(c_1042,plain,
( ~ less_equal(divide(zero,X0),divide(divide(X1,X0),divide(identity,X0)))
| divide(divide(X1,X0),divide(identity,X0)) = divide(divide(X1,identity),X0) ),
inference(superposition,[status(thm)],[c_474,c_663]) ).
cnf(c_1044,plain,
( ~ less_equal(divide(zero,X0),divide(divide(idQa_Q__idQ_idQb,X0),divide(idQa,X0)))
| divide(divide(idQa_Q__idQ_idQb,X0),divide(idQa,X0)) = divide(divide(idQa_Q__idQ_idQb,idQa),X0) ),
inference(superposition,[status(thm)],[c_499,c_663]) ).
cnf(c_1045,plain,
( ~ less_equal(divide(zero,X0),divide(divide(idQb_Q__idQ_idQa,X0),divide(idQb,X0)))
| divide(divide(idQb_Q__idQ_idQa,X0),divide(idQb,X0)) = divide(divide(idQb_Q__idQ_idQa,idQb),X0) ),
inference(superposition,[status(thm)],[c_503,c_663]) ).
cnf(c_1072,plain,
( ~ less_equal(zero,divide(divide(X0,X0),divide(X1,X0)))
| divide(divide(X0,X0),divide(X1,X0)) = zero ),
inference(light_normalisation,[status(thm)],[c_1033,c_475]) ).
cnf(c_1073,plain,
divide(divide(X0,X0),divide(X1,X0)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_1072,c_60]) ).
cnf(c_1135,plain,
( ~ less_equal(zero,divide(divide(idQb_Q__idQ_idQa,X0),divide(idQb,X0)))
| divide(divide(idQb_Q__idQ_idQa,X0),divide(idQb,X0)) = zero ),
inference(light_normalisation,[status(thm)],[c_1045,c_473,c_503]) ).
cnf(c_1136,plain,
divide(divide(idQb_Q__idQ_idQa,X0),divide(idQb,X0)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_1135,c_60]) ).
cnf(c_1137,plain,
( ~ less_equal(zero,divide(divide(idQa_Q__idQ_idQb,X0),divide(idQa,X0)))
| divide(divide(idQa_Q__idQ_idQb,X0),divide(idQa,X0)) = zero ),
inference(light_normalisation,[status(thm)],[c_1044,c_473,c_499]) ).
cnf(c_1138,plain,
divide(divide(idQa_Q__idQ_idQb,X0),divide(idQa,X0)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_1137,c_60]) ).
cnf(c_1139,plain,
( ~ less_equal(zero,divide(divide(X0,X1),divide(identity,X1)))
| divide(divide(X0,X1),divide(identity,X1)) = divide(divide(X0,identity),X1) ),
inference(light_normalisation,[status(thm)],[c_1042,c_473]) ).
cnf(c_1140,plain,
( ~ less_equal(zero,divide(divide(X0,X1),divide(identity,X1)))
| divide(divide(X0,X1),divide(identity,X1)) = divide(zero,X1) ),
inference(light_normalisation,[status(thm)],[c_1139,c_474]) ).
cnf(c_1141,plain,
divide(divide(X0,X1),divide(identity,X1)) = divide(zero,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_1140,c_60]) ).
cnf(c_1512,plain,
less_equal(divide(divide(X0,idQa),idQ_idQa),zero),
inference(demodulation,[status(thm)],[c_673,c_473]) ).
cnf(c_1514,plain,
less_equal(divide(idQ_idQa,idQ_idQa),zero),
inference(superposition,[status(thm)],[c_75,c_1512]) ).
cnf(c_1520,plain,
divide(divide(X0,idQa),idQ_idQa) = zero,
inference(superposition,[status(thm)],[c_1512,c_485]) ).
cnf(c_1527,plain,
divide(idQ_idQa,idQ_idQa) = zero,
inference(superposition,[status(thm)],[c_1514,c_485]) ).
cnf(c_1593,plain,
less_equal(divide(X0,idQa),idQ_idQa),
inference(superposition,[status(thm)],[c_1520,c_203]) ).
cnf(c_1603,plain,
( ~ less_equal(zero,divide(divide(X0,idQ_idQa),divide(idQa,idQ_idQa)))
| divide(divide(X0,idQ_idQa),divide(idQa,idQ_idQa)) = divide(divide(X0,idQa),idQ_idQa) ),
inference(superposition,[status(thm)],[c_1520,c_663]) ).
cnf(c_1608,plain,
( ~ less_equal(zero,divide(divide(X0,idQ_idQa),divide(idQa,idQ_idQa)))
| divide(divide(X0,idQ_idQa),divide(idQa,idQ_idQa)) = zero ),
inference(light_normalisation,[status(thm)],[c_1603,c_1520]) ).
cnf(c_1609,plain,
divide(divide(X0,idQ_idQa),divide(idQa,idQ_idQa)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_1608,c_60]) ).
cnf(c_1664,plain,
less_equal(divide(divide(X0,idQb),idQ_idQb),zero),
inference(demodulation,[status(thm)],[c_674,c_473]) ).
cnf(c_1666,plain,
less_equal(divide(idQ_idQb,idQ_idQb),zero),
inference(superposition,[status(thm)],[c_73,c_1664]) ).
cnf(c_1672,plain,
divide(divide(X0,idQb),idQ_idQb) = zero,
inference(superposition,[status(thm)],[c_1664,c_485]) ).
cnf(c_1687,plain,
divide(idQ_idQb,idQ_idQb) = zero,
inference(superposition,[status(thm)],[c_1666,c_485]) ).
cnf(c_1701,plain,
divide(divide(idQa_Q__idQ_idQb,zero),divide(divide(idQa,idQ_idQb),idQ_idQb)) = zero,
inference(superposition,[status(thm)],[c_1687,c_775]) ).
cnf(c_1707,plain,
divide(divide(idQa_Q__idQ_idQb,zero),divide(idQa_Q__idQ_idQb,idQ_idQb)) = zero,
inference(light_normalisation,[status(thm)],[c_1701,c_74]) ).
cnf(c_1756,plain,
less_equal(divide(X0,idQb),idQ_idQb),
inference(superposition,[status(thm)],[c_1672,c_203]) ).
cnf(c_1768,plain,
( ~ less_equal(zero,divide(divide(X0,idQ_idQb),divide(idQb,idQ_idQb)))
| divide(divide(X0,idQ_idQb),divide(idQb,idQ_idQb)) = divide(divide(X0,idQb),idQ_idQb) ),
inference(superposition,[status(thm)],[c_1672,c_663]) ).
cnf(c_1773,plain,
( ~ less_equal(zero,divide(divide(X0,idQ_idQb),divide(idQb,idQ_idQb)))
| divide(divide(X0,idQ_idQb),divide(idQb,idQ_idQb)) = zero ),
inference(light_normalisation,[status(thm)],[c_1768,c_1672]) ).
cnf(c_1774,plain,
divide(divide(X0,idQ_idQb),divide(idQb,idQ_idQb)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_1773,c_60]) ).
cnf(c_1860,plain,
divide(divide(idQb_Q__idQ_idQa,divide(idQ_idQa,idQ_idQa)),divide(idQb_Q__idQ_idQa,idQ_idQa)) = zero,
inference(superposition,[status(thm)],[c_76,c_777]) ).
cnf(c_1878,plain,
divide(divide(idQb_Q__idQ_idQa,zero),divide(idQb_Q__idQ_idQa,idQ_idQa)) = zero,
inference(light_normalisation,[status(thm)],[c_1860,c_1527]) ).
cnf(c_2002,plain,
less_equal(divide(divide(X0,b),idQb),zero),
inference(demodulation,[status(thm)],[c_675,c_473]) ).
cnf(c_2009,plain,
divide(divide(X0,b),idQb) = zero,
inference(superposition,[status(thm)],[c_2002,c_485]) ).
cnf(c_2092,plain,
less_equal(divide(X0,b),idQb),
inference(superposition,[status(thm)],[c_2009,c_203]) ).
cnf(c_2104,plain,
( ~ less_equal(zero,divide(divide(X0,idQb),divide(b,idQb)))
| divide(divide(X0,idQb),divide(b,idQb)) = divide(divide(X0,b),idQb) ),
inference(superposition,[status(thm)],[c_2009,c_663]) ).
cnf(c_2109,plain,
( ~ less_equal(zero,divide(divide(X0,idQb),divide(b,idQb)))
| divide(divide(X0,idQb),divide(b,idQb)) = zero ),
inference(light_normalisation,[status(thm)],[c_2104,c_2009]) ).
cnf(c_2110,plain,
divide(divide(X0,idQb),divide(b,idQb)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_2109,c_60]) ).
cnf(c_2163,plain,
( ~ less_equal(idQb,divide(X0,b))
| divide(X0,b) = idQb ),
inference(superposition,[status(thm)],[c_2092,c_61]) ).
cnf(c_2168,plain,
less_equal(divide(divide(X0,a),idQa),zero),
inference(demodulation,[status(thm)],[c_676,c_473]) ).
cnf(c_2175,plain,
divide(divide(X0,a),idQa) = zero,
inference(superposition,[status(thm)],[c_2168,c_485]) ).
cnf(c_2390,plain,
less_equal(divide(X0,a),idQa),
inference(superposition,[status(thm)],[c_2175,c_203]) ).
cnf(c_2403,plain,
( ~ less_equal(zero,divide(divide(X0,idQa),divide(a,idQa)))
| divide(divide(X0,idQa),divide(a,idQa)) = divide(divide(X0,a),idQa) ),
inference(superposition,[status(thm)],[c_2175,c_663]) ).
cnf(c_2409,plain,
( ~ less_equal(zero,divide(divide(X0,idQa),divide(a,idQa)))
| divide(divide(X0,idQa),divide(a,idQa)) = zero ),
inference(light_normalisation,[status(thm)],[c_2403,c_2175]) ).
cnf(c_2410,plain,
divide(divide(X0,idQa),divide(a,idQa)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_2409,c_60]) ).
cnf(c_2512,plain,
less_equal(divide(X0,X0),divide(X1,X0)),
inference(superposition,[status(thm)],[c_1073,c_203]) ).
cnf(c_2586,plain,
less_equal(divide(X0,X0),zero),
inference(superposition,[status(thm)],[c_475,c_2512]) ).
cnf(c_2647,plain,
divide(X0,X0) = zero,
inference(superposition,[status(thm)],[c_2586,c_485]) ).
cnf(c_2735,plain,
( ~ less_equal(divide(zero,X0),divide(divide(divide(idQb_Q__idQ_idQa,X1),X0),divide(divide(idQb,X1),X0)))
| divide(divide(divide(idQb_Q__idQ_idQa,X1),X0),divide(divide(idQb,X1),X0)) = divide(divide(divide(idQb_Q__idQ_idQa,X1),divide(idQb,X1)),X0) ),
inference(superposition,[status(thm)],[c_1136,c_663]) ).
cnf(c_2763,plain,
( ~ less_equal(zero,divide(divide(divide(idQb_Q__idQ_idQa,X0),X1),divide(divide(idQb,X0),X1)))
| divide(divide(divide(idQb_Q__idQ_idQa,X0),X1),divide(divide(idQb,X0),X1)) = divide(divide(divide(idQb_Q__idQ_idQa,X0),divide(idQb,X0)),X1) ),
inference(light_normalisation,[status(thm)],[c_2735,c_473]) ).
cnf(c_2764,plain,
( ~ less_equal(zero,divide(divide(divide(idQb_Q__idQ_idQa,X0),X1),divide(divide(idQb,X0),X1)))
| divide(divide(divide(idQb_Q__idQ_idQa,X0),X1),divide(divide(idQb,X0),X1)) = divide(zero,X1) ),
inference(light_normalisation,[status(thm)],[c_2763,c_1136]) ).
cnf(c_2765,plain,
divide(divide(divide(idQb_Q__idQ_idQa,X0),X1),divide(divide(idQb,X0),X1)) = divide(zero,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_2764,c_60]) ).
cnf(c_2838,plain,
( ~ less_equal(divide(zero,X0),divide(divide(divide(idQa_Q__idQ_idQb,X1),X0),divide(divide(idQa,X1),X0)))
| divide(divide(divide(idQa_Q__idQ_idQb,X1),X0),divide(divide(idQa,X1),X0)) = divide(divide(divide(idQa_Q__idQ_idQb,X1),divide(idQa,X1)),X0) ),
inference(superposition,[status(thm)],[c_1138,c_663]) ).
cnf(c_2866,plain,
( ~ less_equal(zero,divide(divide(divide(idQa_Q__idQ_idQb,X0),X1),divide(divide(idQa,X0),X1)))
| divide(divide(divide(idQa_Q__idQ_idQb,X0),X1),divide(divide(idQa,X0),X1)) = divide(divide(divide(idQa_Q__idQ_idQb,X0),divide(idQa,X0)),X1) ),
inference(light_normalisation,[status(thm)],[c_2838,c_473]) ).
cnf(c_2867,plain,
( ~ less_equal(zero,divide(divide(divide(idQa_Q__idQ_idQb,X0),X1),divide(divide(idQa,X0),X1)))
| divide(divide(divide(idQa_Q__idQ_idQb,X0),X1),divide(divide(idQa,X0),X1)) = divide(zero,X1) ),
inference(light_normalisation,[status(thm)],[c_2866,c_1138]) ).
cnf(c_2868,plain,
divide(divide(divide(idQa_Q__idQ_idQb,X0),X1),divide(divide(idQa,X0),X1)) = divide(zero,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_2867,c_60]) ).
cnf(c_3139,plain,
divide(idQb_Q__idQ_idQa,divide(idQa,idQ_idQa)) = zero,
inference(superposition,[status(thm)],[c_76,c_1609]) ).
cnf(c_3148,plain,
less_equal(divide(X0,idQ_idQa),divide(idQa,idQ_idQa)),
inference(superposition,[status(thm)],[c_1609,c_203]) ).
cnf(c_3299,plain,
less_equal(divide(idQa_Q__idQ_idQb,zero),divide(idQa_Q__idQ_idQb,idQ_idQb)),
inference(superposition,[status(thm)],[c_1707,c_203]) ).
cnf(c_3374,plain,
( ~ less_equal(divide(idQa_Q__idQ_idQb,idQ_idQb),divide(idQa_Q__idQ_idQb,zero))
| divide(idQa_Q__idQ_idQb,idQ_idQb) = divide(idQa_Q__idQ_idQb,zero) ),
inference(superposition,[status(thm)],[c_3299,c_61]) ).
cnf(c_3514,plain,
divide(idQa_Q__idQ_idQb,divide(idQb,idQ_idQb)) = zero,
inference(superposition,[status(thm)],[c_74,c_1774]) ).
cnf(c_3523,plain,
less_equal(divide(X0,idQ_idQb),divide(idQb,idQ_idQb)),
inference(superposition,[status(thm)],[c_1774,c_203]) ).
cnf(c_3748,plain,
less_equal(divide(idQb_Q__idQ_idQa,zero),divide(idQb_Q__idQ_idQa,idQ_idQa)),
inference(superposition,[status(thm)],[c_1878,c_203]) ).
cnf(c_3855,plain,
( ~ less_equal(divide(idQb_Q__idQ_idQa,idQ_idQa),divide(idQb_Q__idQ_idQa,zero))
| divide(idQb_Q__idQ_idQa,idQ_idQa) = divide(idQb_Q__idQ_idQa,zero) ),
inference(superposition,[status(thm)],[c_3748,c_61]) ).
cnf(c_3870,plain,
less_equal(divide(X0,idQb),divide(b,idQb)),
inference(superposition,[status(thm)],[c_2110,c_203]) ).
cnf(c_3951,plain,
( ~ less_equal(divide(b,idQb),divide(X0,idQb))
| divide(X0,idQb) = divide(b,idQb) ),
inference(superposition,[status(thm)],[c_3870,c_61]) ).
cnf(c_4207,plain,
( ~ less_equal(divide(b,idQb),idQ_idQb)
| divide(identity,idQb) = divide(b,idQb) ),
inference(superposition,[status(thm)],[c_73,c_3951]) ).
cnf(c_4220,plain,
( ~ less_equal(divide(b,idQb),idQ_idQb)
| divide(b,idQb) = idQ_idQb ),
inference(light_normalisation,[status(thm)],[c_4207,c_73]) ).
cnf(c_4221,plain,
divide(b,idQb) = idQ_idQb,
inference(forward_subsumption_resolution,[status(thm)],[c_4220,c_1756]) ).
cnf(c_4235,plain,
divide(idQ_idQb,b) = zero,
inference(superposition,[status(thm)],[c_4221,c_475]) ).
cnf(c_4277,plain,
less_equal(divide(divide(X0,b),zero),divide(divide(X0,idQ_idQb),b)),
inference(superposition,[status(thm)],[c_4235,c_194]) ).
cnf(c_4381,plain,
less_equal(divide(X0,idQa),divide(a,idQa)),
inference(superposition,[status(thm)],[c_2410,c_203]) ).
cnf(c_4579,plain,
( ~ less_equal(divide(a,idQa),divide(X0,idQa))
| divide(X0,idQa) = divide(a,idQa) ),
inference(superposition,[status(thm)],[c_4381,c_61]) ).
cnf(c_4590,plain,
( ~ less_equal(divide(a,idQa),idQ_idQa)
| divide(identity,idQa) = divide(a,idQa) ),
inference(superposition,[status(thm)],[c_75,c_4579]) ).
cnf(c_4603,plain,
( ~ less_equal(divide(a,idQa),idQ_idQa)
| divide(a,idQa) = idQ_idQa ),
inference(light_normalisation,[status(thm)],[c_4590,c_75]) ).
cnf(c_4604,plain,
divide(a,idQa) = idQ_idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_4603,c_1593]) ).
cnf(c_4646,plain,
divide(idQ_idQa,a) = zero,
inference(superposition,[status(thm)],[c_4604,c_475]) ).
cnf(c_4716,plain,
less_equal(divide(divide(X0,a),zero),divide(divide(X0,idQ_idQa),a)),
inference(superposition,[status(thm)],[c_4646,c_194]) ).
cnf(c_5153,plain,
less_equal(divide(idQa,zero),divide(divide(identity,idQ_idQa),a)),
inference(superposition,[status(thm)],[c_4646,c_628]) ).
cnf(c_5157,plain,
less_equal(divide(idQa,divide(idQa,a)),divide(idQ_idQa,a)),
inference(superposition,[status(thm)],[c_75,c_628]) ).
cnf(c_5163,plain,
less_equal(divide(idQa,divide(idQa,a)),zero),
inference(light_normalisation,[status(thm)],[c_5157,c_4646]) ).
cnf(c_5188,plain,
divide(idQa,divide(idQa,a)) = zero,
inference(superposition,[status(thm)],[c_5163,c_485]) ).
cnf(c_5468,plain,
less_equal(idQa,divide(idQa,a)),
inference(superposition,[status(thm)],[c_5188,c_203]) ).
cnf(c_5507,plain,
( divide(idQb_Q__idQ_idQa,X0) != zero
| less_equal(idQb_Q__idQ_idQa,X0) ),
inference(instantiation,[status(thm)],[c_203]) ).
cnf(c_5551,plain,
divide(idQa,a) = idQa,
inference(superposition,[status(thm)],[c_5468,c_487]) ).
cnf(c_5666,plain,
( ~ less_equal(divide(divide(identity,idQ_idQa),a),divide(idQa,zero))
| divide(divide(identity,idQ_idQa),a) = divide(idQa,zero) ),
inference(superposition,[status(thm)],[c_5153,c_61]) ).
cnf(c_5831,plain,
less_equal(divide(idQb,zero),divide(divide(identity,idQ_idQb),b)),
inference(superposition,[status(thm)],[c_4235,c_629]) ).
cnf(c_5834,plain,
less_equal(divide(idQb,divide(idQb,b)),divide(idQ_idQb,b)),
inference(superposition,[status(thm)],[c_73,c_629]) ).
cnf(c_5841,plain,
less_equal(divide(idQb,divide(idQb,b)),zero),
inference(light_normalisation,[status(thm)],[c_5834,c_4235]) ).
cnf(c_5881,plain,
divide(idQb,divide(idQb,b)) = zero,
inference(superposition,[status(thm)],[c_5841,c_485]) ).
cnf(c_6407,plain,
less_equal(idQb,divide(idQb,b)),
inference(superposition,[status(thm)],[c_5881,c_203]) ).
cnf(c_6490,plain,
divide(idQb,b) = idQb,
inference(superposition,[status(thm)],[c_6407,c_487]) ).
cnf(c_6735,plain,
( ~ less_equal(divide(divide(identity,idQ_idQb),b),divide(idQb,zero))
| divide(divide(identity,idQ_idQb),b) = divide(idQb,zero) ),
inference(superposition,[status(thm)],[c_5831,c_61]) ).
cnf(c_9339,plain,
less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(superposition,[status(thm)],[c_2647,c_645]) ).
cnf(c_9782,plain,
divide(divide(X0,divide(X0,zero)),zero) = zero,
inference(superposition,[status(thm)],[c_9339,c_485]) ).
cnf(c_9816,plain,
( divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb) != zero
| less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb) ),
inference(instantiation,[status(thm)],[c_5507]) ).
cnf(c_10422,plain,
( ~ less_equal(divide(X0,divide(X0,zero)),zero)
| divide(divide(X0,divide(X0,zero)),zero) = divide(X0,divide(X0,zero)) ),
inference(superposition,[status(thm)],[c_9782,c_487]) ).
cnf(c_10423,plain,
less_equal(divide(X0,divide(X0,zero)),zero),
inference(superposition,[status(thm)],[c_9782,c_203]) ).
cnf(c_10438,plain,
divide(divide(X0,divide(X0,zero)),zero) = divide(X0,divide(X0,zero)),
inference(forward_subsumption_resolution,[status(thm)],[c_10422,c_10423]) ).
cnf(c_10439,plain,
divide(X0,divide(X0,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_10438,c_9782]) ).
cnf(c_10518,plain,
less_equal(X0,divide(X0,zero)),
inference(superposition,[status(thm)],[c_10439,c_203]) ).
cnf(c_10731,plain,
divide(X0,zero) = X0,
inference(superposition,[status(thm)],[c_10518,c_487]) ).
cnf(c_10750,plain,
( ~ less_equal(divide(divide(identity,idQ_idQa),a),idQa)
| divide(divide(identity,idQ_idQa),a) = idQa ),
inference(demodulation,[status(thm)],[c_5666,c_10731]) ).
cnf(c_10764,plain,
( ~ less_equal(divide(idQa_Q__idQ_idQb,idQ_idQb),idQa_Q__idQ_idQb)
| divide(idQa_Q__idQ_idQb,idQ_idQb) = idQa_Q__idQ_idQb ),
inference(demodulation,[status(thm)],[c_3374,c_10731]) ).
cnf(c_10771,plain,
( ~ less_equal(divide(idQb_Q__idQ_idQa,idQ_idQa),idQb_Q__idQ_idQa)
| divide(idQb_Q__idQ_idQa,idQ_idQa) = idQb_Q__idQ_idQa ),
inference(demodulation,[status(thm)],[c_3855,c_10731]) ).
cnf(c_10777,plain,
divide(idQb_Q__idQ_idQa,idQ_idQa) = idQb_Q__idQ_idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_10771,c_180]) ).
cnf(c_10779,plain,
divide(idQa_Q__idQ_idQb,idQ_idQb) = idQa_Q__idQ_idQb,
inference(forward_subsumption_resolution,[status(thm)],[c_10764,c_180]) ).
cnf(c_10784,plain,
divide(divide(identity,idQ_idQa),a) = idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_10750,c_2390]) ).
cnf(c_10865,plain,
( ~ less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1))
| divide(divide(X0,zero),divide(X1,zero)) = divide(divide(X0,X1),zero) ),
inference(superposition,[status(thm)],[c_10731,c_663]) ).
cnf(c_10918,plain,
( ~ less_equal(divide(divide(X0,X1),zero),divide(X0,X1))
| divide(divide(X0,X1),zero) = divide(X0,divide(X1,zero)) ),
inference(light_normalisation,[status(thm)],[c_10865,c_10731]) ).
cnf(c_10919,plain,
divide(divide(X0,X1),zero) = divide(X0,divide(X1,zero)),
inference(forward_subsumption_resolution,[status(thm)],[c_10918,c_180]) ).
cnf(c_11055,plain,
less_equal(divide(idQb_Q__idQ_idQa,divide(X0,idQ_idQa)),divide(divide(idQb_Q__idQ_idQa,X0),idQ_idQa)),
inference(superposition,[status(thm)],[c_10777,c_194]) ).
cnf(c_11161,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(X0,idQ_idQb)),divide(divide(idQa_Q__idQ_idQb,X0),idQ_idQb)),
inference(superposition,[status(thm)],[c_10779,c_194]) ).
cnf(c_11311,plain,
( ~ less_equal(divide(divide(identity,idQ_idQb),b),idQb)
| divide(divide(identity,idQ_idQb),b) = idQb ),
inference(demodulation,[status(thm)],[c_6735,c_10731]) ).
cnf(c_11312,plain,
divide(divide(identity,idQ_idQb),b) = idQb,
inference(forward_subsumption_resolution,[status(thm)],[c_11311,c_2092]) ).
cnf(c_11318,plain,
divide(idQb,divide(identity,idQ_idQb)) = zero,
inference(superposition,[status(thm)],[c_11312,c_475]) ).
cnf(c_11604,plain,
divide(idQa,divide(identity,idQ_idQa)) = zero,
inference(superposition,[status(thm)],[c_10784,c_475]) ).
cnf(c_11953,plain,
less_equal(divide(idQb_Q__idQ_idQa,divide(divide(identity,idQ_idQb),idQ_idQa)),divide(zero,idQ_idQa)),
inference(superposition,[status(thm)],[c_11318,c_633]) ).
cnf(c_12406,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(divide(identity,idQ_idQa),idQ_idQb)),divide(zero,idQ_idQb)),
inference(superposition,[status(thm)],[c_11604,c_631]) ).
cnf(c_13119,plain,
less_equal(divide(X0,idQa),divide(divide(X0,idQa_Q__idQ_idQb),idQa)),
inference(demodulation,[status(thm)],[c_648,c_10731,c_10919]) ).
cnf(c_13132,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,X0),idQa),divide(zero,idQa)),
inference(superposition,[status(thm)],[c_475,c_13119]) ).
cnf(c_13839,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,X0),idQa),zero),
inference(demodulation,[status(thm)],[c_13132,c_473]) ).
cnf(c_13852,plain,
divide(divide(idQa_Q__idQ_idQb,X0),idQa) = zero,
inference(superposition,[status(thm)],[c_13839,c_485]) ).
cnf(c_13935,plain,
less_equal(divide(divide(divide(idQa_Q__idQ_idQb,X0),idQ_idQb),idQa_Q__idQ_idQb),divide(zero,idQ_idQb)),
inference(superposition,[status(thm)],[c_13852,c_642]) ).
cnf(c_14759,plain,
less_equal(divide(X0,idQb),divide(divide(X0,idQb_Q__idQ_idQa),idQb)),
inference(demodulation,[status(thm)],[c_649,c_10731,c_10919]) ).
cnf(c_14772,plain,
less_equal(divide(divide(idQb_Q__idQ_idQa,X0),idQb),divide(zero,idQb)),
inference(superposition,[status(thm)],[c_475,c_14759]) ).
cnf(c_15322,plain,
less_equal(divide(divide(idQb_Q__idQ_idQa,X0),idQb),zero),
inference(demodulation,[status(thm)],[c_14772,c_473]) ).
cnf(c_15336,plain,
divide(divide(idQb_Q__idQ_idQa,X0),idQb) = zero,
inference(superposition,[status(thm)],[c_15322,c_485]) ).
cnf(c_15371,plain,
less_equal(divide(divide(divide(idQb_Q__idQ_idQa,X0),idQ_idQa),idQb_Q__idQ_idQa),divide(zero,idQ_idQa)),
inference(superposition,[status(thm)],[c_15336,c_644]) ).
cnf(c_21309,plain,
less_equal(divide(X0,b),divide(divide(X0,idQ_idQb),b)),
inference(demodulation,[status(thm)],[c_4277,c_10731,c_10919]) ).
cnf(c_21315,plain,
less_equal(idQb,divide(divide(idQb,idQ_idQb),b)),
inference(superposition,[status(thm)],[c_6490,c_21309]) ).
cnf(c_21437,plain,
divide(divide(idQb,idQ_idQb),b) = idQb,
inference(superposition,[status(thm)],[c_21315,c_2163]) ).
cnf(c_21456,plain,
( ~ less_equal(divide(idQb,idQ_idQb),idQb)
| divide(divide(idQb,idQ_idQb),b) = divide(idQb,idQ_idQb) ),
inference(superposition,[status(thm)],[c_21437,c_487]) ).
cnf(c_21482,plain,
( ~ less_equal(divide(idQb,idQ_idQb),idQb)
| divide(idQb,idQ_idQb) = idQb ),
inference(light_normalisation,[status(thm)],[c_21456,c_21437]) ).
cnf(c_21483,plain,
divide(idQb,idQ_idQb) = idQb,
inference(forward_subsumption_resolution,[status(thm)],[c_21482,c_180]) ).
cnf(c_21497,plain,
divide(idQa_Q__idQ_idQb,idQb) = zero,
inference(demodulation,[status(thm)],[c_3514,c_21483]) ).
cnf(c_21499,plain,
less_equal(divide(X0,idQ_idQb),idQb),
inference(demodulation,[status(thm)],[c_3523,c_21483]) ).
cnf(c_21500,plain,
divide(divide(X0,idQ_idQb),idQb) = zero,
inference(demodulation,[status(thm)],[c_1774,c_21483]) ).
cnf(c_21724,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa),divide(zero,idQ_idQa)),
inference(superposition,[status(thm)],[c_21497,c_644]) ).
cnf(c_21804,plain,
divide(divide(divide(idQb_Q__idQ_idQa,X0),X1),divide(divide(idQb,X0),X1)) = zero,
inference(demodulation,[status(thm)],[c_2765,c_473]) ).
cnf(c_21862,plain,
less_equal(divide(divide(idQb_Q__idQ_idQa,X0),X1),divide(divide(idQb,X0),X1)),
inference(superposition,[status(thm)],[c_21804,c_203]) ).
cnf(c_22554,plain,
less_equal(divide(divide(divide(X0,idQ_idQb),idQ_idQa),idQb_Q__idQ_idQa),divide(zero,idQ_idQa)),
inference(superposition,[status(thm)],[c_21500,c_644]) ).
cnf(c_23378,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa),zero),
inference(demodulation,[status(thm)],[c_21724,c_473]) ).
cnf(c_23381,plain,
divide(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa) = zero,
inference(superposition,[status(thm)],[c_23378,c_485]) ).
cnf(c_23398,plain,
( ~ less_equal(zero,divide(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),divide(idQ_idQa,idQb_Q__idQ_idQa)))
| divide(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),divide(idQ_idQa,idQb_Q__idQ_idQa)) = divide(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa) ),
inference(superposition,[status(thm)],[c_23381,c_663]) ).
cnf(c_23414,plain,
( ~ less_equal(zero,divide(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),divide(idQ_idQa,idQb_Q__idQ_idQa)))
| divide(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),divide(idQ_idQa,idQb_Q__idQ_idQa)) = zero ),
inference(light_normalisation,[status(thm)],[c_23398,c_23381]) ).
cnf(c_23415,plain,
divide(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),divide(idQ_idQa,idQb_Q__idQ_idQa)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_23414,c_60]) ).
cnf(c_25084,plain,
( ~ less_equal(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),zero)
| divide(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),divide(idQ_idQa,idQb_Q__idQ_idQa)) = divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa) ),
inference(superposition,[status(thm)],[c_23415,c_487]) ).
cnf(c_25104,plain,
( ~ less_equal(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),zero)
| divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa) = zero ),
inference(light_normalisation,[status(thm)],[c_25084,c_23415]) ).
cnf(c_26101,plain,
divide(divide(divide(idQa_Q__idQ_idQb,X0),X1),divide(divide(idQa,X0),X1)) = zero,
inference(demodulation,[status(thm)],[c_2868,c_473]) ).
cnf(c_26169,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,X0),X1),divide(divide(idQa,X0),X1)),
inference(superposition,[status(thm)],[c_26101,c_203]) ).
cnf(c_26700,plain,
less_equal(divide(X0,a),divide(divide(X0,idQ_idQa),a)),
inference(demodulation,[status(thm)],[c_4716,c_10731,c_10919]) ).
cnf(c_26720,plain,
( ~ less_equal(divide(divide(X0,idQ_idQa),a),divide(X0,a))
| divide(divide(X0,idQ_idQa),a) = divide(X0,a) ),
inference(superposition,[status(thm)],[c_26700,c_61]) ).
cnf(c_27228,plain,
( ~ less_equal(divide(divide(idQa,idQ_idQa),a),idQa)
| divide(divide(idQa,idQ_idQa),a) = divide(idQa,a) ),
inference(superposition,[status(thm)],[c_5551,c_26720]) ).
cnf(c_27237,plain,
( ~ less_equal(divide(divide(idQa,idQ_idQa),a),idQa)
| divide(divide(idQa,idQ_idQa),a) = idQa ),
inference(light_normalisation,[status(thm)],[c_27228,c_5551]) ).
cnf(c_27238,plain,
divide(divide(idQa,idQ_idQa),a) = idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_27237,c_2390]) ).
cnf(c_27302,plain,
( ~ less_equal(divide(idQa,idQ_idQa),idQa)
| divide(divide(idQa,idQ_idQa),a) = divide(idQa,idQ_idQa) ),
inference(superposition,[status(thm)],[c_27238,c_487]) ).
cnf(c_27335,plain,
( ~ less_equal(divide(idQa,idQ_idQa),idQa)
| divide(idQa,idQ_idQa) = idQa ),
inference(light_normalisation,[status(thm)],[c_27302,c_27238]) ).
cnf(c_27336,plain,
divide(idQa,idQ_idQa) = idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_27335,c_180]) ).
cnf(c_27352,plain,
divide(idQb_Q__idQ_idQa,idQa) = zero,
inference(demodulation,[status(thm)],[c_3139,c_27336]) ).
cnf(c_27354,plain,
less_equal(divide(X0,idQ_idQa),idQa),
inference(demodulation,[status(thm)],[c_3148,c_27336]) ).
cnf(c_27355,plain,
divide(divide(X0,idQ_idQa),idQa) = zero,
inference(demodulation,[status(thm)],[c_1609,c_27336]) ).
cnf(c_27617,plain,
less_equal(divide(divide(idQb_Q__idQ_idQa,idQ_idQb),idQa_Q__idQ_idQb),divide(zero,idQ_idQb)),
inference(superposition,[status(thm)],[c_27352,c_642]) ).
cnf(c_27769,plain,
less_equal(divide(divide(divide(X0,idQ_idQa),idQ_idQb),idQa_Q__idQ_idQb),divide(zero,idQ_idQb)),
inference(superposition,[status(thm)],[c_27355,c_642]) ).
cnf(c_29052,plain,
less_equal(divide(divide(idQb_Q__idQ_idQa,idQ_idQb),idQa_Q__idQ_idQb),zero),
inference(demodulation,[status(thm)],[c_27617,c_473]) ).
cnf(c_29055,plain,
divide(divide(idQb_Q__idQ_idQa,idQ_idQb),idQa_Q__idQ_idQb) = zero,
inference(superposition,[status(thm)],[c_29052,c_485]) ).
cnf(c_29292,plain,
( ~ less_equal(zero,divide(divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),divide(idQ_idQb,idQa_Q__idQ_idQb)))
| divide(divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),divide(idQ_idQb,idQa_Q__idQ_idQb)) = divide(divide(idQb_Q__idQ_idQa,idQ_idQb),idQa_Q__idQ_idQb) ),
inference(superposition,[status(thm)],[c_29055,c_663]) ).
cnf(c_29310,plain,
( ~ less_equal(zero,divide(divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),divide(idQ_idQb,idQa_Q__idQ_idQb)))
| divide(divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),divide(idQ_idQb,idQa_Q__idQ_idQb)) = zero ),
inference(light_normalisation,[status(thm)],[c_29292,c_29055]) ).
cnf(c_29311,plain,
divide(divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),divide(idQ_idQb,idQa_Q__idQ_idQb)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_29310,c_60]) ).
cnf(c_30649,plain,
( ~ less_equal(divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),zero)
| divide(divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),divide(idQ_idQb,idQa_Q__idQ_idQb)) = divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb) ),
inference(superposition,[status(thm)],[c_29311,c_487]) ).
cnf(c_30670,plain,
( ~ less_equal(divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),zero)
| divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb) = zero ),
inference(light_normalisation,[status(thm)],[c_30649,c_29311]) ).
cnf(c_38365,plain,
less_equal(divide(idQb_Q__idQ_idQa,zero),divide(divide(idQb_Q__idQ_idQa,divide(idQ_idQa,X0)),idQ_idQa)),
inference(superposition,[status(thm)],[c_475,c_11055]) ).
cnf(c_39394,plain,
less_equal(divide(idQa_Q__idQ_idQb,zero),divide(divide(idQa_Q__idQ_idQb,divide(idQ_idQb,X0)),idQ_idQb)),
inference(superposition,[status(thm)],[c_475,c_11161]) ).
cnf(c_42484,plain,
less_equal(divide(idQb_Q__idQ_idQa,divide(divide(identity,idQ_idQb),idQ_idQa)),zero),
inference(demodulation,[status(thm)],[c_11953,c_473]) ).
cnf(c_42487,plain,
divide(idQb_Q__idQ_idQa,divide(divide(identity,idQ_idQb),idQ_idQa)) = zero,
inference(superposition,[status(thm)],[c_42484,c_485]) ).
cnf(c_42568,plain,
less_equal(idQb_Q__idQ_idQa,divide(divide(identity,idQ_idQb),idQ_idQa)),
inference(superposition,[status(thm)],[c_42487,c_203]) ).
cnf(c_42695,plain,
( ~ less_equal(divide(divide(identity,idQ_idQb),idQ_idQa),idQb_Q__idQ_idQa)
| divide(divide(identity,idQ_idQb),idQ_idQa) = idQb_Q__idQ_idQa ),
inference(superposition,[status(thm)],[c_42568,c_61]) ).
cnf(c_42704,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(divide(identity,idQ_idQa),idQ_idQb)),zero),
inference(demodulation,[status(thm)],[c_12406,c_473]) ).
cnf(c_42707,plain,
divide(idQa_Q__idQ_idQb,divide(divide(identity,idQ_idQa),idQ_idQb)) = zero,
inference(superposition,[status(thm)],[c_42704,c_485]) ).
cnf(c_42728,plain,
less_equal(idQa_Q__idQ_idQb,divide(divide(identity,idQ_idQa),idQ_idQb)),
inference(superposition,[status(thm)],[c_42707,c_203]) ).
cnf(c_42802,plain,
( ~ less_equal(divide(divide(identity,idQ_idQa),idQ_idQb),idQa_Q__idQ_idQb)
| divide(divide(identity,idQ_idQa),idQ_idQb) = idQa_Q__idQ_idQb ),
inference(superposition,[status(thm)],[c_42728,c_61]) ).
cnf(c_43249,plain,
less_equal(divide(divide(divide(idQa_Q__idQ_idQb,X0),idQ_idQb),idQa_Q__idQ_idQb),zero),
inference(demodulation,[status(thm)],[c_13935,c_473]) ).
cnf(c_43269,plain,
divide(divide(divide(idQa_Q__idQ_idQb,X0),idQ_idQb),idQa_Q__idQ_idQb) = zero,
inference(superposition,[status(thm)],[c_43249,c_485]) ).
cnf(c_43301,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,X0),idQ_idQb),idQa_Q__idQ_idQb),
inference(superposition,[status(thm)],[c_43269,c_203]) ).
cnf(c_43406,plain,
( ~ less_equal(idQa_Q__idQ_idQb,divide(divide(idQa_Q__idQ_idQb,X0),idQ_idQb))
| divide(divide(idQa_Q__idQ_idQb,X0),idQ_idQb) = idQa_Q__idQ_idQb ),
inference(superposition,[status(thm)],[c_43301,c_61]) ).
cnf(c_44747,plain,
less_equal(divide(divide(divide(idQb_Q__idQ_idQa,X0),idQ_idQa),idQb_Q__idQ_idQa),zero),
inference(demodulation,[status(thm)],[c_15371,c_473]) ).
cnf(c_44767,plain,
divide(divide(divide(idQb_Q__idQ_idQa,X0),idQ_idQa),idQb_Q__idQ_idQa) = zero,
inference(superposition,[status(thm)],[c_44747,c_485]) ).
cnf(c_44795,plain,
less_equal(divide(divide(idQb_Q__idQ_idQa,X0),idQ_idQa),idQb_Q__idQ_idQa),
inference(superposition,[status(thm)],[c_44767,c_203]) ).
cnf(c_44869,plain,
( ~ less_equal(idQb_Q__idQ_idQa,divide(divide(idQb_Q__idQ_idQa,X0),idQ_idQa))
| divide(divide(idQb_Q__idQ_idQa,X0),idQ_idQa) = idQb_Q__idQ_idQa ),
inference(superposition,[status(thm)],[c_44795,c_61]) ).
cnf(c_53428,plain,
less_equal(divide(divide(divide(X0,idQ_idQb),idQ_idQa),idQb_Q__idQ_idQa),zero),
inference(demodulation,[status(thm)],[c_22554,c_473]) ).
cnf(c_53448,plain,
divide(divide(divide(X0,idQ_idQb),idQ_idQa),idQb_Q__idQ_idQa) = zero,
inference(superposition,[status(thm)],[c_53428,c_485]) ).
cnf(c_53547,plain,
less_equal(divide(divide(X0,idQ_idQb),idQ_idQa),idQb_Q__idQ_idQa),
inference(superposition,[status(thm)],[c_53448,c_203]) ).
cnf(c_53587,plain,
divide(divide(identity,idQ_idQb),idQ_idQa) = idQb_Q__idQ_idQa,
inference(backward_subsumption_resolution,[status(thm)],[c_42695,c_53547]) ).
cnf(c_54174,plain,
less_equal(divide(divide(identity,idQ_idQa),divide(idQ_idQb,idQ_idQa)),idQb_Q__idQ_idQa),
inference(superposition,[status(thm)],[c_53587,c_194]) ).
cnf(c_70569,plain,
less_equal(divide(divide(divide(X0,idQ_idQa),idQ_idQb),idQa_Q__idQ_idQb),zero),
inference(demodulation,[status(thm)],[c_27769,c_473]) ).
cnf(c_70590,plain,
divide(divide(divide(X0,idQ_idQa),idQ_idQb),idQa_Q__idQ_idQb) = zero,
inference(superposition,[status(thm)],[c_70569,c_485]) ).
cnf(c_70619,plain,
less_equal(divide(divide(X0,idQ_idQa),idQ_idQb),idQa_Q__idQ_idQb),
inference(superposition,[status(thm)],[c_70590,c_203]) ).
cnf(c_70670,plain,
divide(divide(identity,idQ_idQa),idQ_idQb) = idQa_Q__idQ_idQb,
inference(backward_subsumption_resolution,[status(thm)],[c_42802,c_70619]) ).
cnf(c_70790,plain,
less_equal(divide(divide(identity,idQ_idQb),divide(idQ_idQa,idQ_idQb)),idQa_Q__idQ_idQb),
inference(superposition,[status(thm)],[c_70670,c_194]) ).
cnf(c_87951,plain,
less_equal(idQb_Q__idQ_idQa,divide(divide(idQb_Q__idQ_idQa,divide(idQ_idQa,X0)),idQ_idQa)),
inference(demodulation,[status(thm)],[c_38365,c_10731]) ).
cnf(c_87979,plain,
divide(divide(idQb_Q__idQ_idQa,divide(idQ_idQa,X0)),idQ_idQa) = idQb_Q__idQ_idQa,
inference(superposition,[status(thm)],[c_87951,c_44869]) ).
cnf(c_88039,plain,
( ~ less_equal(divide(idQb_Q__idQ_idQa,divide(idQ_idQa,X0)),idQb_Q__idQ_idQa)
| divide(divide(idQb_Q__idQ_idQa,divide(idQ_idQa,X0)),idQ_idQa) = divide(idQb_Q__idQ_idQa,divide(idQ_idQa,X0)) ),
inference(superposition,[status(thm)],[c_87979,c_487]) ).
cnf(c_88099,plain,
( ~ less_equal(divide(idQb_Q__idQ_idQa,divide(idQ_idQa,X0)),idQb_Q__idQ_idQa)
| divide(idQb_Q__idQ_idQa,divide(idQ_idQa,X0)) = idQb_Q__idQ_idQa ),
inference(light_normalisation,[status(thm)],[c_88039,c_87979]) ).
cnf(c_88100,plain,
divide(idQb_Q__idQ_idQa,divide(idQ_idQa,X0)) = idQb_Q__idQ_idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_88099,c_180]) ).
cnf(c_88219,plain,
less_equal(divide(idQb_Q__idQ_idQa,X0),divide(divide(idQb,divide(idQ_idQa,X1)),X0)),
inference(superposition,[status(thm)],[c_88100,c_21862]) ).
cnf(c_93718,plain,
less_equal(idQa_Q__idQ_idQb,divide(divide(idQa_Q__idQ_idQb,divide(idQ_idQb,X0)),idQ_idQb)),
inference(demodulation,[status(thm)],[c_39394,c_10731]) ).
cnf(c_93746,plain,
divide(divide(idQa_Q__idQ_idQb,divide(idQ_idQb,X0)),idQ_idQb) = idQa_Q__idQ_idQb,
inference(superposition,[status(thm)],[c_93718,c_43406]) ).
cnf(c_93788,plain,
( ~ less_equal(divide(idQa_Q__idQ_idQb,divide(idQ_idQb,X0)),idQa_Q__idQ_idQb)
| divide(divide(idQa_Q__idQ_idQb,divide(idQ_idQb,X0)),idQ_idQb) = divide(idQa_Q__idQ_idQb,divide(idQ_idQb,X0)) ),
inference(superposition,[status(thm)],[c_93746,c_487]) ).
cnf(c_93847,plain,
( ~ less_equal(divide(idQa_Q__idQ_idQb,divide(idQ_idQb,X0)),idQa_Q__idQ_idQb)
| divide(idQa_Q__idQ_idQb,divide(idQ_idQb,X0)) = idQa_Q__idQ_idQb ),
inference(light_normalisation,[status(thm)],[c_93788,c_93746]) ).
cnf(c_93848,plain,
divide(idQa_Q__idQ_idQb,divide(idQ_idQb,X0)) = idQa_Q__idQ_idQb,
inference(forward_subsumption_resolution,[status(thm)],[c_93847,c_180]) ).
cnf(c_94830,plain,
less_equal(divide(idQa_Q__idQ_idQb,X0),divide(divide(idQa,divide(idQ_idQb,X1)),X0)),
inference(superposition,[status(thm)],[c_93848,c_26169]) ).
cnf(c_218473,plain,
divide(divide(X0,X1),divide(identity,X1)) = zero,
inference(demodulation,[status(thm)],[c_1141,c_473]) ).
cnf(c_218816,plain,
less_equal(divide(X0,X1),divide(identity,X1)),
inference(superposition,[status(thm)],[c_218473,c_203]) ).
cnf(c_223146,plain,
( ~ less_equal(divide(identity,X0),divide(X1,X0))
| divide(X1,X0) = divide(identity,X0) ),
inference(superposition,[status(thm)],[c_218816,c_61]) ).
cnf(c_235884,plain,
( ~ less_equal(divide(identity,idQ_idQa),idQa)
| divide(identity,idQ_idQa) = divide(idQa,idQ_idQa) ),
inference(superposition,[status(thm)],[c_27336,c_223146]) ).
cnf(c_235886,plain,
( ~ less_equal(divide(identity,idQ_idQb),idQb)
| divide(identity,idQ_idQb) = divide(idQb,idQ_idQb) ),
inference(superposition,[status(thm)],[c_21483,c_223146]) ).
cnf(c_236222,plain,
( ~ less_equal(divide(identity,idQ_idQb),idQb)
| divide(identity,idQ_idQb) = idQb ),
inference(light_normalisation,[status(thm)],[c_235886,c_21483]) ).
cnf(c_236223,plain,
divide(identity,idQ_idQb) = idQb,
inference(forward_subsumption_resolution,[status(thm)],[c_236222,c_21499]) ).
cnf(c_236225,plain,
( ~ less_equal(divide(identity,idQ_idQa),idQa)
| divide(identity,idQ_idQa) = idQa ),
inference(light_normalisation,[status(thm)],[c_235884,c_27336]) ).
cnf(c_236226,plain,
divide(identity,idQ_idQa) = idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_236225,c_27354]) ).
cnf(c_236825,plain,
less_equal(divide(idQb,divide(idQ_idQa,idQ_idQb)),idQa_Q__idQ_idQb),
inference(demodulation,[status(thm)],[c_70790,c_236223]) ).
cnf(c_236865,plain,
less_equal(divide(idQa,divide(idQ_idQb,idQ_idQa)),idQb_Q__idQ_idQa),
inference(demodulation,[status(thm)],[c_54174,c_236226]) ).
cnf(c_238885,plain,
divide(divide(idQb,divide(idQ_idQa,idQ_idQb)),idQa_Q__idQ_idQb) = zero,
inference(superposition,[status(thm)],[c_236825,c_204]) ).
cnf(c_239013,plain,
divide(divide(idQa,divide(idQ_idQb,idQ_idQa)),idQb_Q__idQ_idQa) = zero,
inference(superposition,[status(thm)],[c_236865,c_204]) ).
cnf(c_239784,plain,
less_equal(divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),zero),
inference(superposition,[status(thm)],[c_238885,c_88219]) ).
cnf(c_240051,plain,
less_equal(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),zero),
inference(superposition,[status(thm)],[c_239013,c_94830]) ).
cnf(c_240077,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_240051,c_239784,c_30670,c_25104,c_9816,c_719,c_625,c_624,c_619,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HEN011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 13:58:36 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 35.14/5.71 % SZS status Started for theBenchmark.p
% 35.14/5.71 % SZS status Unsatisfiable for theBenchmark.p
% 35.14/5.71
% 35.14/5.71 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 35.14/5.71
% 35.14/5.71 ------ iProver source info
% 35.14/5.71
% 35.14/5.71 git: date: 2023-05-31 18:12:56 +0000
% 35.14/5.71 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 35.14/5.71 git: non_committed_changes: false
% 35.14/5.71 git: last_make_outside_of_git: false
% 35.14/5.71
% 35.14/5.71 ------ Parsing...successful
% 35.14/5.71
% 35.14/5.71
% 35.14/5.71
% 35.14/5.71 ------ Preprocessing... sup_sim: 4 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 35.14/5.71
% 35.14/5.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 35.14/5.71
% 35.14/5.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 35.14/5.71 ------ Proving...
% 35.14/5.71 ------ Problem Properties
% 35.14/5.71
% 35.14/5.71
% 35.14/5.71 clauses 14
% 35.14/5.71 conjectures 1
% 35.14/5.71 EPR 4
% 35.14/5.71 Horn 14
% 35.14/5.71 unary 11
% 35.14/5.71 binary 2
% 35.14/5.71 lits 18
% 35.14/5.71 lits eq 10
% 35.14/5.71 fd_pure 0
% 35.14/5.71 fd_pseudo 0
% 35.14/5.71 fd_cond 0
% 35.14/5.71 fd_pseudo_cond 1
% 35.14/5.71 AC symbols 0
% 35.14/5.71
% 35.14/5.71 ------ Schedule dynamic 5 is on
% 35.14/5.71
% 35.14/5.71 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 35.14/5.71
% 35.14/5.71
% 35.14/5.71 ------
% 35.14/5.71 Current options:
% 35.14/5.71 ------
% 35.14/5.71
% 35.14/5.71
% 35.14/5.71
% 35.14/5.71
% 35.14/5.71 ------ Proving...
% 35.14/5.71
% 35.14/5.71
% 35.14/5.71 % SZS status Unsatisfiable for theBenchmark.p
% 35.14/5.71
% 35.14/5.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.14/5.71
% 35.14/5.71
%------------------------------------------------------------------------------