TSTP Solution File: HEN011-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : HEN011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:25:24 EDT 2024
% Result : Unsatisfiable 24.62s 4.22s
% Output : CNFRefutation 24.62s
% 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/sandbox/benchmark/theBenchmark.p',identity_divide_a) ).
cnf(c_50,plain,
quotient(identity,b,idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_b) ).
cnf(c_51,plain,
quotient(identity,idQb,idQ_idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQb) ).
cnf(c_52,plain,
quotient(idQa,idQ_idQb,idQa_Q__idQ_idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idQa_divide_idQ_idQb) ).
cnf(c_53,plain,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQa) ).
cnf(c_54,plain,
quotient(idQb,idQ_idQa,idQb_Q__idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idQb_divide_idQ_idQa) ).
cnf(c_55,negated_conjecture,
idQa_Q__idQ_idQb != idQb_Q__idQ_idQa,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
cnf(c_57,plain,
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
cnf(c_58,plain,
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
cnf(c_60,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).
cnf(c_62,plain,
less_equal(X0,identity),
file('/export/starexec/sandbox/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_279,plain,
X0 = X0,
theory(equality) ).
cnf(c_281,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_470,plain,
less_equal(idQa_Q__idQ_idQb,idQa),
inference(superposition,[status(thm)],[c_74,c_180]) ).
cnf(c_471,plain,
less_equal(idQb_Q__idQ_idQa,idQb),
inference(superposition,[status(thm)],[c_76,c_180]) ).
cnf(c_474,plain,
divide(zero,X0) = zero,
inference(superposition,[status(thm)],[c_60,c_204]) ).
cnf(c_475,plain,
divide(X0,identity) = zero,
inference(superposition,[status(thm)],[c_62,c_204]) ).
cnf(c_476,plain,
divide(divide(X0,X1),X0) = zero,
inference(superposition,[status(thm)],[c_180,c_204]) ).
cnf(c_486,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_60,c_61]) ).
cnf(c_488,plain,
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(superposition,[status(thm)],[c_180,c_61]) ).
cnf(c_500,plain,
divide(idQa_Q__idQ_idQb,idQa) = zero,
inference(superposition,[status(thm)],[c_470,c_204]) ).
cnf(c_504,plain,
divide(idQb_Q__idQ_idQa,idQb) = zero,
inference(superposition,[status(thm)],[c_471,c_204]) ).
cnf(c_574,plain,
( idQa_Q__idQ_idQb != X0
| idQb_Q__idQ_idQa != X0
| idQa_Q__idQ_idQb = idQb_Q__idQ_idQa ),
inference(instantiation,[status(thm)],[c_281]) ).
cnf(c_620,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_625,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_574]) ).
cnf(c_626,plain,
idQa_Q__idQ_idQb = idQa_Q__idQ_idQb,
inference(instantiation,[status(thm)],[c_279]) ).
cnf(c_629,plain,
less_equal(divide(idQa,divide(X0,a)),divide(divide(identity,X0),a)),
inference(superposition,[status(thm)],[c_71,c_194]) ).
cnf(c_630,plain,
less_equal(divide(idQb,divide(X0,b)),divide(divide(identity,X0),b)),
inference(superposition,[status(thm)],[c_72,c_194]) ).
cnf(c_632,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_634,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_640,plain,
less_equal(divide(divide(X0,a),idQa),divide(divide(X0,identity),a)),
inference(superposition,[status(thm)],[c_71,c_194]) ).
cnf(c_641,plain,
less_equal(divide(divide(X0,b),idQb),divide(divide(X0,identity),b)),
inference(superposition,[status(thm)],[c_72,c_194]) ).
cnf(c_642,plain,
less_equal(divide(divide(X0,idQb),idQ_idQb),divide(divide(X0,identity),idQb)),
inference(superposition,[status(thm)],[c_73,c_194]) ).
cnf(c_643,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_644,plain,
less_equal(divide(divide(X0,idQa),idQ_idQa),divide(divide(X0,identity),idQa)),
inference(superposition,[status(thm)],[c_75,c_194]) ).
cnf(c_645,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_646,plain,
less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
inference(superposition,[status(thm)],[c_474,c_194]) ).
cnf(c_649,plain,
less_equal(divide(divide(X0,idQa),zero),divide(divide(X0,idQa_Q__idQ_idQb),idQa)),
inference(superposition,[status(thm)],[c_500,c_194]) ).
cnf(c_650,plain,
less_equal(divide(divide(X0,idQb),zero),divide(divide(X0,idQb_Q__idQ_idQa),idQb)),
inference(superposition,[status(thm)],[c_504,c_194]) ).
cnf(c_664,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_665,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_674,plain,
less_equal(divide(divide(X0,idQa),idQ_idQa),divide(zero,idQa)),
inference(light_normalisation,[status(thm)],[c_644,c_475]) ).
cnf(c_675,plain,
less_equal(divide(divide(X0,idQb),idQ_idQb),divide(zero,idQb)),
inference(light_normalisation,[status(thm)],[c_642,c_475]) ).
cnf(c_676,plain,
less_equal(divide(divide(X0,b),idQb),divide(zero,b)),
inference(light_normalisation,[status(thm)],[c_641,c_475]) ).
cnf(c_677,plain,
less_equal(divide(divide(X0,a),idQa),divide(zero,a)),
inference(light_normalisation,[status(thm)],[c_640,c_475]) ).
cnf(c_720,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_776,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_665]) ).
cnf(c_778,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_665]) ).
cnf(c_1034,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_476,c_664]) ).
cnf(c_1043,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_475,c_664]) ).
cnf(c_1045,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_500,c_664]) ).
cnf(c_1046,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_504,c_664]) ).
cnf(c_1073,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_1034,c_476]) ).
cnf(c_1074,plain,
divide(divide(X0,X0),divide(X1,X0)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_1073,c_60]) ).
cnf(c_1136,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_1046,c_474,c_504]) ).
cnf(c_1137,plain,
divide(divide(idQb_Q__idQ_idQa,X0),divide(idQb,X0)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_1136,c_60]) ).
cnf(c_1138,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_1045,c_474,c_500]) ).
cnf(c_1139,plain,
divide(divide(idQa_Q__idQ_idQb,X0),divide(idQa,X0)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_1138,c_60]) ).
cnf(c_1140,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_1043,c_474]) ).
cnf(c_1141,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_1140,c_475]) ).
cnf(c_1142,plain,
divide(divide(X0,X1),divide(identity,X1)) = divide(zero,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_1141,c_60]) ).
cnf(c_1513,plain,
less_equal(divide(divide(X0,idQa),idQ_idQa),zero),
inference(demodulation,[status(thm)],[c_674,c_474]) ).
cnf(c_1515,plain,
less_equal(divide(idQ_idQa,idQ_idQa),zero),
inference(superposition,[status(thm)],[c_75,c_1513]) ).
cnf(c_1521,plain,
divide(divide(X0,idQa),idQ_idQa) = zero,
inference(superposition,[status(thm)],[c_1513,c_486]) ).
cnf(c_1528,plain,
divide(idQ_idQa,idQ_idQa) = zero,
inference(superposition,[status(thm)],[c_1515,c_486]) ).
cnf(c_1594,plain,
less_equal(divide(X0,idQa),idQ_idQa),
inference(superposition,[status(thm)],[c_1521,c_203]) ).
cnf(c_1604,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_1521,c_664]) ).
cnf(c_1609,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_1604,c_1521]) ).
cnf(c_1610,plain,
divide(divide(X0,idQ_idQa),divide(idQa,idQ_idQa)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_1609,c_60]) ).
cnf(c_1665,plain,
less_equal(divide(divide(X0,idQb),idQ_idQb),zero),
inference(demodulation,[status(thm)],[c_675,c_474]) ).
cnf(c_1667,plain,
less_equal(divide(idQ_idQb,idQ_idQb),zero),
inference(superposition,[status(thm)],[c_73,c_1665]) ).
cnf(c_1673,plain,
divide(divide(X0,idQb),idQ_idQb) = zero,
inference(superposition,[status(thm)],[c_1665,c_486]) ).
cnf(c_1688,plain,
divide(idQ_idQb,idQ_idQb) = zero,
inference(superposition,[status(thm)],[c_1667,c_486]) ).
cnf(c_1702,plain,
divide(divide(idQa_Q__idQ_idQb,zero),divide(divide(idQa,idQ_idQb),idQ_idQb)) = zero,
inference(superposition,[status(thm)],[c_1688,c_776]) ).
cnf(c_1708,plain,
divide(divide(idQa_Q__idQ_idQb,zero),divide(idQa_Q__idQ_idQb,idQ_idQb)) = zero,
inference(light_normalisation,[status(thm)],[c_1702,c_74]) ).
cnf(c_1757,plain,
less_equal(divide(X0,idQb),idQ_idQb),
inference(superposition,[status(thm)],[c_1673,c_203]) ).
cnf(c_1769,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_1673,c_664]) ).
cnf(c_1774,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_1769,c_1673]) ).
cnf(c_1775,plain,
divide(divide(X0,idQ_idQb),divide(idQb,idQ_idQb)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_1774,c_60]) ).
cnf(c_1861,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_778]) ).
cnf(c_1879,plain,
divide(divide(idQb_Q__idQ_idQa,zero),divide(idQb_Q__idQ_idQa,idQ_idQa)) = zero,
inference(light_normalisation,[status(thm)],[c_1861,c_1528]) ).
cnf(c_2003,plain,
less_equal(divide(divide(X0,b),idQb),zero),
inference(demodulation,[status(thm)],[c_676,c_474]) ).
cnf(c_2010,plain,
divide(divide(X0,b),idQb) = zero,
inference(superposition,[status(thm)],[c_2003,c_486]) ).
cnf(c_2093,plain,
less_equal(divide(X0,b),idQb),
inference(superposition,[status(thm)],[c_2010,c_203]) ).
cnf(c_2105,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_2010,c_664]) ).
cnf(c_2110,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_2105,c_2010]) ).
cnf(c_2111,plain,
divide(divide(X0,idQb),divide(b,idQb)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_2110,c_60]) ).
cnf(c_2164,plain,
( ~ less_equal(idQb,divide(X0,b))
| divide(X0,b) = idQb ),
inference(superposition,[status(thm)],[c_2093,c_61]) ).
cnf(c_2169,plain,
less_equal(divide(divide(X0,a),idQa),zero),
inference(demodulation,[status(thm)],[c_677,c_474]) ).
cnf(c_2176,plain,
divide(divide(X0,a),idQa) = zero,
inference(superposition,[status(thm)],[c_2169,c_486]) ).
cnf(c_2391,plain,
less_equal(divide(X0,a),idQa),
inference(superposition,[status(thm)],[c_2176,c_203]) ).
cnf(c_2404,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_2176,c_664]) ).
cnf(c_2410,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_2404,c_2176]) ).
cnf(c_2411,plain,
divide(divide(X0,idQa),divide(a,idQa)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_2410,c_60]) ).
cnf(c_2513,plain,
less_equal(divide(X0,X0),divide(X1,X0)),
inference(superposition,[status(thm)],[c_1074,c_203]) ).
cnf(c_2587,plain,
less_equal(divide(X0,X0),zero),
inference(superposition,[status(thm)],[c_476,c_2513]) ).
cnf(c_2648,plain,
divide(X0,X0) = zero,
inference(superposition,[status(thm)],[c_2587,c_486]) ).
cnf(c_2736,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_1137,c_664]) ).
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(divide(divide(idQb_Q__idQ_idQa,X0),divide(idQb,X0)),X1) ),
inference(light_normalisation,[status(thm)],[c_2736,c_474]) ).
cnf(c_2765,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_2764,c_1137]) ).
cnf(c_2766,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_2765,c_60]) ).
cnf(c_2839,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_1139,c_664]) ).
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(divide(divide(idQa_Q__idQ_idQb,X0),divide(idQa,X0)),X1) ),
inference(light_normalisation,[status(thm)],[c_2839,c_474]) ).
cnf(c_2868,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_2867,c_1139]) ).
cnf(c_2869,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_2868,c_60]) ).
cnf(c_3140,plain,
divide(idQb_Q__idQ_idQa,divide(idQa,idQ_idQa)) = zero,
inference(superposition,[status(thm)],[c_76,c_1610]) ).
cnf(c_3149,plain,
less_equal(divide(X0,idQ_idQa),divide(idQa,idQ_idQa)),
inference(superposition,[status(thm)],[c_1610,c_203]) ).
cnf(c_3300,plain,
less_equal(divide(idQa_Q__idQ_idQb,zero),divide(idQa_Q__idQ_idQb,idQ_idQb)),
inference(superposition,[status(thm)],[c_1708,c_203]) ).
cnf(c_3375,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_3300,c_61]) ).
cnf(c_3515,plain,
divide(idQa_Q__idQ_idQb,divide(idQb,idQ_idQb)) = zero,
inference(superposition,[status(thm)],[c_74,c_1775]) ).
cnf(c_3524,plain,
less_equal(divide(X0,idQ_idQb),divide(idQb,idQ_idQb)),
inference(superposition,[status(thm)],[c_1775,c_203]) ).
cnf(c_3749,plain,
less_equal(divide(idQb_Q__idQ_idQa,zero),divide(idQb_Q__idQ_idQa,idQ_idQa)),
inference(superposition,[status(thm)],[c_1879,c_203]) ).
cnf(c_3856,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_3749,c_61]) ).
cnf(c_3871,plain,
less_equal(divide(X0,idQb),divide(b,idQb)),
inference(superposition,[status(thm)],[c_2111,c_203]) ).
cnf(c_3952,plain,
( ~ less_equal(divide(b,idQb),divide(X0,idQb))
| divide(X0,idQb) = divide(b,idQb) ),
inference(superposition,[status(thm)],[c_3871,c_61]) ).
cnf(c_4208,plain,
( ~ less_equal(divide(b,idQb),idQ_idQb)
| divide(identity,idQb) = divide(b,idQb) ),
inference(superposition,[status(thm)],[c_73,c_3952]) ).
cnf(c_4221,plain,
( ~ less_equal(divide(b,idQb),idQ_idQb)
| divide(b,idQb) = idQ_idQb ),
inference(light_normalisation,[status(thm)],[c_4208,c_73]) ).
cnf(c_4222,plain,
divide(b,idQb) = idQ_idQb,
inference(forward_subsumption_resolution,[status(thm)],[c_4221,c_1757]) ).
cnf(c_4236,plain,
divide(idQ_idQb,b) = zero,
inference(superposition,[status(thm)],[c_4222,c_476]) ).
cnf(c_4278,plain,
less_equal(divide(divide(X0,b),zero),divide(divide(X0,idQ_idQb),b)),
inference(superposition,[status(thm)],[c_4236,c_194]) ).
cnf(c_4382,plain,
less_equal(divide(X0,idQa),divide(a,idQa)),
inference(superposition,[status(thm)],[c_2411,c_203]) ).
cnf(c_4580,plain,
( ~ less_equal(divide(a,idQa),divide(X0,idQa))
| divide(X0,idQa) = divide(a,idQa) ),
inference(superposition,[status(thm)],[c_4382,c_61]) ).
cnf(c_4591,plain,
( ~ less_equal(divide(a,idQa),idQ_idQa)
| divide(identity,idQa) = divide(a,idQa) ),
inference(superposition,[status(thm)],[c_75,c_4580]) ).
cnf(c_4604,plain,
( ~ less_equal(divide(a,idQa),idQ_idQa)
| divide(a,idQa) = idQ_idQa ),
inference(light_normalisation,[status(thm)],[c_4591,c_75]) ).
cnf(c_4605,plain,
divide(a,idQa) = idQ_idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_4604,c_1594]) ).
cnf(c_4647,plain,
divide(idQ_idQa,a) = zero,
inference(superposition,[status(thm)],[c_4605,c_476]) ).
cnf(c_4717,plain,
less_equal(divide(divide(X0,a),zero),divide(divide(X0,idQ_idQa),a)),
inference(superposition,[status(thm)],[c_4647,c_194]) ).
cnf(c_5154,plain,
less_equal(divide(idQa,zero),divide(divide(identity,idQ_idQa),a)),
inference(superposition,[status(thm)],[c_4647,c_629]) ).
cnf(c_5158,plain,
less_equal(divide(idQa,divide(idQa,a)),divide(idQ_idQa,a)),
inference(superposition,[status(thm)],[c_75,c_629]) ).
cnf(c_5164,plain,
less_equal(divide(idQa,divide(idQa,a)),zero),
inference(light_normalisation,[status(thm)],[c_5158,c_4647]) ).
cnf(c_5189,plain,
divide(idQa,divide(idQa,a)) = zero,
inference(superposition,[status(thm)],[c_5164,c_486]) ).
cnf(c_5469,plain,
less_equal(idQa,divide(idQa,a)),
inference(superposition,[status(thm)],[c_5189,c_203]) ).
cnf(c_5508,plain,
( divide(idQb_Q__idQ_idQa,X0) != zero
| less_equal(idQb_Q__idQ_idQa,X0) ),
inference(instantiation,[status(thm)],[c_203]) ).
cnf(c_5552,plain,
divide(idQa,a) = idQa,
inference(superposition,[status(thm)],[c_5469,c_488]) ).
cnf(c_5667,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_5154,c_61]) ).
cnf(c_5832,plain,
less_equal(divide(idQb,zero),divide(divide(identity,idQ_idQb),b)),
inference(superposition,[status(thm)],[c_4236,c_630]) ).
cnf(c_5835,plain,
less_equal(divide(idQb,divide(idQb,b)),divide(idQ_idQb,b)),
inference(superposition,[status(thm)],[c_73,c_630]) ).
cnf(c_5842,plain,
less_equal(divide(idQb,divide(idQb,b)),zero),
inference(light_normalisation,[status(thm)],[c_5835,c_4236]) ).
cnf(c_5882,plain,
divide(idQb,divide(idQb,b)) = zero,
inference(superposition,[status(thm)],[c_5842,c_486]) ).
cnf(c_6408,plain,
less_equal(idQb,divide(idQb,b)),
inference(superposition,[status(thm)],[c_5882,c_203]) ).
cnf(c_6491,plain,
divide(idQb,b) = idQb,
inference(superposition,[status(thm)],[c_6408,c_488]) ).
cnf(c_6694,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_5832,c_61]) ).
cnf(c_9050,plain,
less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(superposition,[status(thm)],[c_2648,c_646]) ).
cnf(c_9572,plain,
divide(divide(X0,divide(X0,zero)),zero) = zero,
inference(superposition,[status(thm)],[c_9050,c_486]) ).
cnf(c_10036,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_9572,c_488]) ).
cnf(c_10037,plain,
less_equal(divide(X0,divide(X0,zero)),zero),
inference(superposition,[status(thm)],[c_9572,c_203]) ).
cnf(c_10052,plain,
divide(divide(X0,divide(X0,zero)),zero) = divide(X0,divide(X0,zero)),
inference(forward_subsumption_resolution,[status(thm)],[c_10036,c_10037]) ).
cnf(c_10053,plain,
divide(X0,divide(X0,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_10052,c_9572]) ).
cnf(c_10095,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_5508]) ).
cnf(c_10144,plain,
less_equal(X0,divide(X0,zero)),
inference(superposition,[status(thm)],[c_10053,c_203]) ).
cnf(c_10435,plain,
divide(X0,zero) = X0,
inference(superposition,[status(thm)],[c_10144,c_488]) ).
cnf(c_10454,plain,
( ~ less_equal(divide(divide(identity,idQ_idQa),a),idQa)
| divide(divide(identity,idQ_idQa),a) = idQa ),
inference(demodulation,[status(thm)],[c_5667,c_10435]) ).
cnf(c_10468,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_3375,c_10435]) ).
cnf(c_10475,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_3856,c_10435]) ).
cnf(c_10481,plain,
divide(idQb_Q__idQ_idQa,idQ_idQa) = idQb_Q__idQ_idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_10475,c_180]) ).
cnf(c_10483,plain,
divide(idQa_Q__idQ_idQb,idQ_idQb) = idQa_Q__idQ_idQb,
inference(forward_subsumption_resolution,[status(thm)],[c_10468,c_180]) ).
cnf(c_10488,plain,
divide(divide(identity,idQ_idQa),a) = idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_10454,c_2391]) ).
cnf(c_10544,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_10435,c_664]) ).
cnf(c_10597,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_10544,c_10435]) ).
cnf(c_10598,plain,
divide(divide(X0,X1),zero) = divide(X0,divide(X1,zero)),
inference(forward_subsumption_resolution,[status(thm)],[c_10597,c_180]) ).
cnf(c_10754,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_10481,c_194]) ).
cnf(c_10845,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_10483,c_194]) ).
cnf(c_10999,plain,
( ~ less_equal(divide(divide(identity,idQ_idQb),b),idQb)
| divide(divide(identity,idQ_idQb),b) = idQb ),
inference(demodulation,[status(thm)],[c_6694,c_10435]) ).
cnf(c_11000,plain,
divide(divide(identity,idQ_idQb),b) = idQb,
inference(forward_subsumption_resolution,[status(thm)],[c_10999,c_2093]) ).
cnf(c_11006,plain,
divide(idQb,divide(identity,idQ_idQb)) = zero,
inference(superposition,[status(thm)],[c_11000,c_476]) ).
cnf(c_11238,plain,
divide(idQa,divide(identity,idQ_idQa)) = zero,
inference(superposition,[status(thm)],[c_10488,c_476]) ).
cnf(c_11546,plain,
less_equal(divide(idQb_Q__idQ_idQa,divide(divide(identity,idQ_idQb),idQ_idQa)),divide(zero,idQ_idQa)),
inference(superposition,[status(thm)],[c_11006,c_634]) ).
cnf(c_11817,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(divide(identity,idQ_idQa),idQ_idQb)),divide(zero,idQ_idQb)),
inference(superposition,[status(thm)],[c_11238,c_632]) ).
cnf(c_12485,plain,
less_equal(divide(X0,idQa),divide(divide(X0,idQa_Q__idQ_idQb),idQa)),
inference(demodulation,[status(thm)],[c_649,c_10435,c_10598]) ).
cnf(c_12498,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,X0),idQa),divide(zero,idQa)),
inference(superposition,[status(thm)],[c_476,c_12485]) ).
cnf(c_13073,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,X0),idQa),zero),
inference(demodulation,[status(thm)],[c_12498,c_474]) ).
cnf(c_13086,plain,
divide(divide(idQa_Q__idQ_idQb,X0),idQa) = zero,
inference(superposition,[status(thm)],[c_13073,c_486]) ).
cnf(c_13116,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_13086,c_643]) ).
cnf(c_14097,plain,
less_equal(divide(X0,idQb),divide(divide(X0,idQb_Q__idQ_idQa),idQb)),
inference(demodulation,[status(thm)],[c_650,c_10435,c_10598]) ).
cnf(c_14110,plain,
less_equal(divide(divide(idQb_Q__idQ_idQa,X0),idQb),divide(zero,idQb)),
inference(superposition,[status(thm)],[c_476,c_14097]) ).
cnf(c_14726,plain,
less_equal(divide(divide(idQb_Q__idQ_idQa,X0),idQb),zero),
inference(demodulation,[status(thm)],[c_14110,c_474]) ).
cnf(c_14740,plain,
divide(divide(idQb_Q__idQ_idQa,X0),idQb) = zero,
inference(superposition,[status(thm)],[c_14726,c_486]) ).
cnf(c_14775,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_14740,c_645]) ).
cnf(c_19688,plain,
less_equal(divide(X0,b),divide(divide(X0,idQ_idQb),b)),
inference(demodulation,[status(thm)],[c_4278,c_10435,c_10598]) ).
cnf(c_19694,plain,
less_equal(idQb,divide(divide(idQb,idQ_idQb),b)),
inference(superposition,[status(thm)],[c_6491,c_19688]) ).
cnf(c_19755,plain,
divide(divide(idQb,idQ_idQb),b) = idQb,
inference(superposition,[status(thm)],[c_19694,c_2164]) ).
cnf(c_19761,plain,
( ~ less_equal(divide(idQb,idQ_idQb),idQb)
| divide(divide(idQb,idQ_idQb),b) = divide(idQb,idQ_idQb) ),
inference(superposition,[status(thm)],[c_19755,c_488]) ).
cnf(c_19787,plain,
( ~ less_equal(divide(idQb,idQ_idQb),idQb)
| divide(idQb,idQ_idQb) = idQb ),
inference(light_normalisation,[status(thm)],[c_19761,c_19755]) ).
cnf(c_19788,plain,
divide(idQb,idQ_idQb) = idQb,
inference(forward_subsumption_resolution,[status(thm)],[c_19787,c_180]) ).
cnf(c_19802,plain,
divide(idQa_Q__idQ_idQb,idQb) = zero,
inference(demodulation,[status(thm)],[c_3515,c_19788]) ).
cnf(c_19804,plain,
less_equal(divide(X0,idQ_idQb),idQb),
inference(demodulation,[status(thm)],[c_3524,c_19788]) ).
cnf(c_19805,plain,
divide(divide(X0,idQ_idQb),idQb) = zero,
inference(demodulation,[status(thm)],[c_1775,c_19788]) ).
cnf(c_20060,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa),divide(zero,idQ_idQa)),
inference(superposition,[status(thm)],[c_19802,c_645]) ).
cnf(c_20108,plain,
divide(divide(divide(idQb_Q__idQ_idQa,X0),X1),divide(divide(idQb,X0),X1)) = zero,
inference(demodulation,[status(thm)],[c_2766,c_474]) ).
cnf(c_20166,plain,
less_equal(divide(divide(idQb_Q__idQ_idQa,X0),X1),divide(divide(idQb,X0),X1)),
inference(superposition,[status(thm)],[c_20108,c_203]) ).
cnf(c_20940,plain,
less_equal(divide(divide(divide(X0,idQ_idQb),idQ_idQa),idQb_Q__idQ_idQa),divide(zero,idQ_idQa)),
inference(superposition,[status(thm)],[c_19805,c_645]) ).
cnf(c_21928,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa),zero),
inference(demodulation,[status(thm)],[c_20060,c_474]) ).
cnf(c_21931,plain,
divide(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa) = zero,
inference(superposition,[status(thm)],[c_21928,c_486]) ).
cnf(c_21948,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_21931,c_664]) ).
cnf(c_21964,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_21948,c_21931]) ).
cnf(c_21965,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_21964,c_60]) ).
cnf(c_23435,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_21965,c_488]) ).
cnf(c_23455,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_23435,c_21965]) ).
cnf(c_24223,plain,
divide(divide(divide(idQa_Q__idQ_idQb,X0),X1),divide(divide(idQa,X0),X1)) = zero,
inference(demodulation,[status(thm)],[c_2869,c_474]) ).
cnf(c_24291,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,X0),X1),divide(divide(idQa,X0),X1)),
inference(superposition,[status(thm)],[c_24223,c_203]) ).
cnf(c_24528,plain,
less_equal(divide(X0,a),divide(divide(X0,idQ_idQa),a)),
inference(demodulation,[status(thm)],[c_4717,c_10435,c_10598]) ).
cnf(c_24548,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_24528,c_61]) ).
cnf(c_24911,plain,
( ~ less_equal(divide(divide(idQa,idQ_idQa),a),idQa)
| divide(divide(idQa,idQ_idQa),a) = divide(idQa,a) ),
inference(superposition,[status(thm)],[c_5552,c_24548]) ).
cnf(c_24920,plain,
( ~ less_equal(divide(divide(idQa,idQ_idQa),a),idQa)
| divide(divide(idQa,idQ_idQa),a) = idQa ),
inference(light_normalisation,[status(thm)],[c_24911,c_5552]) ).
cnf(c_24921,plain,
divide(divide(idQa,idQ_idQa),a) = idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_24920,c_2391]) ).
cnf(c_24984,plain,
( ~ less_equal(divide(idQa,idQ_idQa),idQa)
| divide(divide(idQa,idQ_idQa),a) = divide(idQa,idQ_idQa) ),
inference(superposition,[status(thm)],[c_24921,c_488]) ).
cnf(c_25017,plain,
( ~ less_equal(divide(idQa,idQ_idQa),idQa)
| divide(idQa,idQ_idQa) = idQa ),
inference(light_normalisation,[status(thm)],[c_24984,c_24921]) ).
cnf(c_25018,plain,
divide(idQa,idQ_idQa) = idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_25017,c_180]) ).
cnf(c_25034,plain,
divide(idQb_Q__idQ_idQa,idQa) = zero,
inference(demodulation,[status(thm)],[c_3140,c_25018]) ).
cnf(c_25036,plain,
less_equal(divide(X0,idQ_idQa),idQa),
inference(demodulation,[status(thm)],[c_3149,c_25018]) ).
cnf(c_25037,plain,
divide(divide(X0,idQ_idQa),idQa) = zero,
inference(demodulation,[status(thm)],[c_1610,c_25018]) ).
cnf(c_25477,plain,
less_equal(divide(divide(idQb_Q__idQ_idQa,idQ_idQb),idQa_Q__idQ_idQb),divide(zero,idQ_idQb)),
inference(superposition,[status(thm)],[c_25034,c_643]) ).
cnf(c_25670,plain,
less_equal(divide(divide(divide(X0,idQ_idQa),idQ_idQb),idQa_Q__idQ_idQb),divide(zero,idQ_idQb)),
inference(superposition,[status(thm)],[c_25037,c_643]) ).
cnf(c_26655,plain,
less_equal(divide(divide(idQb_Q__idQ_idQa,idQ_idQb),idQa_Q__idQ_idQb),zero),
inference(demodulation,[status(thm)],[c_25477,c_474]) ).
cnf(c_26658,plain,
divide(divide(idQb_Q__idQ_idQa,idQ_idQb),idQa_Q__idQ_idQb) = zero,
inference(superposition,[status(thm)],[c_26655,c_486]) ).
cnf(c_26675,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_26658,c_664]) ).
cnf(c_26693,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_26675,c_26658]) ).
cnf(c_26694,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_26693,c_60]) ).
cnf(c_28412,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_26694,c_488]) ).
cnf(c_28433,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_28412,c_26694]) ).
cnf(c_36160,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_476,c_10754]) ).
cnf(c_36742,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_476,c_10845]) ).
cnf(c_38291,plain,
less_equal(divide(idQb_Q__idQ_idQa,divide(divide(identity,idQ_idQb),idQ_idQa)),zero),
inference(demodulation,[status(thm)],[c_11546,c_474]) ).
cnf(c_38294,plain,
divide(idQb_Q__idQ_idQa,divide(divide(identity,idQ_idQb),idQ_idQa)) = zero,
inference(superposition,[status(thm)],[c_38291,c_486]) ).
cnf(c_38301,plain,
less_equal(idQb_Q__idQ_idQa,divide(divide(identity,idQ_idQb),idQ_idQa)),
inference(superposition,[status(thm)],[c_38294,c_203]) ).
cnf(c_38363,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_38301,c_61]) ).
cnf(c_38372,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(divide(identity,idQ_idQa),idQ_idQb)),zero),
inference(demodulation,[status(thm)],[c_11817,c_474]) ).
cnf(c_38375,plain,
divide(idQa_Q__idQ_idQb,divide(divide(identity,idQ_idQa),idQ_idQb)) = zero,
inference(superposition,[status(thm)],[c_38372,c_486]) ).
cnf(c_38382,plain,
less_equal(idQa_Q__idQ_idQb,divide(divide(identity,idQ_idQa),idQ_idQb)),
inference(superposition,[status(thm)],[c_38375,c_203]) ).
cnf(c_38482,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_38382,c_61]) ).
cnf(c_39013,plain,
less_equal(divide(divide(divide(idQa_Q__idQ_idQb,X0),idQ_idQb),idQa_Q__idQ_idQb),zero),
inference(demodulation,[status(thm)],[c_13116,c_474]) ).
cnf(c_39033,plain,
divide(divide(divide(idQa_Q__idQ_idQb,X0),idQ_idQb),idQa_Q__idQ_idQb) = zero,
inference(superposition,[status(thm)],[c_39013,c_486]) ).
cnf(c_39065,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,X0),idQ_idQb),idQa_Q__idQ_idQb),
inference(superposition,[status(thm)],[c_39033,c_203]) ).
cnf(c_39304,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_39065,c_61]) ).
cnf(c_40107,plain,
less_equal(divide(divide(divide(idQb_Q__idQ_idQa,X0),idQ_idQa),idQb_Q__idQ_idQa),zero),
inference(demodulation,[status(thm)],[c_14775,c_474]) ).
cnf(c_40127,plain,
divide(divide(divide(idQb_Q__idQ_idQa,X0),idQ_idQa),idQb_Q__idQ_idQa) = zero,
inference(superposition,[status(thm)],[c_40107,c_486]) ).
cnf(c_40155,plain,
less_equal(divide(divide(idQb_Q__idQ_idQa,X0),idQ_idQa),idQb_Q__idQ_idQa),
inference(superposition,[status(thm)],[c_40127,c_203]) ).
cnf(c_40229,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_40155,c_61]) ).
cnf(c_47824,plain,
less_equal(divide(divide(divide(X0,idQ_idQb),idQ_idQa),idQb_Q__idQ_idQa),zero),
inference(demodulation,[status(thm)],[c_20940,c_474]) ).
cnf(c_47844,plain,
divide(divide(divide(X0,idQ_idQb),idQ_idQa),idQb_Q__idQ_idQa) = zero,
inference(superposition,[status(thm)],[c_47824,c_486]) ).
cnf(c_47923,plain,
less_equal(divide(divide(X0,idQ_idQb),idQ_idQa),idQb_Q__idQ_idQa),
inference(superposition,[status(thm)],[c_47844,c_203]) ).
cnf(c_47963,plain,
divide(divide(identity,idQ_idQb),idQ_idQa) = idQb_Q__idQ_idQa,
inference(backward_subsumption_resolution,[status(thm)],[c_38363,c_47923]) ).
cnf(c_48082,plain,
less_equal(divide(divide(identity,idQ_idQa),divide(idQ_idQb,idQ_idQa)),idQb_Q__idQ_idQa),
inference(superposition,[status(thm)],[c_47963,c_194]) ).
cnf(c_61629,plain,
less_equal(divide(divide(divide(X0,idQ_idQa),idQ_idQb),idQa_Q__idQ_idQb),zero),
inference(demodulation,[status(thm)],[c_25670,c_474]) ).
cnf(c_61650,plain,
divide(divide(divide(X0,idQ_idQa),idQ_idQb),idQa_Q__idQ_idQb) = zero,
inference(superposition,[status(thm)],[c_61629,c_486]) ).
cnf(c_61679,plain,
less_equal(divide(divide(X0,idQ_idQa),idQ_idQb),idQa_Q__idQ_idQb),
inference(superposition,[status(thm)],[c_61650,c_203]) ).
cnf(c_61730,plain,
divide(divide(identity,idQ_idQa),idQ_idQb) = idQa_Q__idQ_idQb,
inference(backward_subsumption_resolution,[status(thm)],[c_38482,c_61679]) ).
cnf(c_61817,plain,
less_equal(divide(divide(identity,idQ_idQb),divide(idQ_idQa,idQ_idQb)),idQa_Q__idQ_idQb),
inference(superposition,[status(thm)],[c_61730,c_194]) ).
cnf(c_79654,plain,
less_equal(idQb_Q__idQ_idQa,divide(divide(idQb_Q__idQ_idQa,divide(idQ_idQa,X0)),idQ_idQa)),
inference(demodulation,[status(thm)],[c_36160,c_10435]) ).
cnf(c_79682,plain,
divide(divide(idQb_Q__idQ_idQa,divide(idQ_idQa,X0)),idQ_idQa) = idQb_Q__idQ_idQa,
inference(superposition,[status(thm)],[c_79654,c_40229]) ).
cnf(c_79764,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_79682,c_488]) ).
cnf(c_79824,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_79764,c_79682]) ).
cnf(c_79825,plain,
divide(idQb_Q__idQ_idQa,divide(idQ_idQa,X0)) = idQb_Q__idQ_idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_79824,c_180]) ).
cnf(c_79976,plain,
less_equal(divide(idQb_Q__idQ_idQa,X0),divide(divide(idQb,divide(idQ_idQa,X1)),X0)),
inference(superposition,[status(thm)],[c_79825,c_20166]) ).
cnf(c_86724,plain,
less_equal(idQa_Q__idQ_idQb,divide(divide(idQa_Q__idQ_idQb,divide(idQ_idQb,X0)),idQ_idQb)),
inference(demodulation,[status(thm)],[c_36742,c_10435]) ).
cnf(c_86752,plain,
divide(divide(idQa_Q__idQ_idQb,divide(idQ_idQb,X0)),idQ_idQb) = idQa_Q__idQ_idQb,
inference(superposition,[status(thm)],[c_86724,c_39304]) ).
cnf(c_87388,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_86752,c_488]) ).
cnf(c_87447,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_87388,c_86752]) ).
cnf(c_87448,plain,
divide(idQa_Q__idQ_idQb,divide(idQ_idQb,X0)) = idQa_Q__idQ_idQb,
inference(forward_subsumption_resolution,[status(thm)],[c_87447,c_180]) ).
cnf(c_87615,plain,
less_equal(divide(idQa_Q__idQ_idQb,X0),divide(divide(idQa,divide(idQ_idQb,X1)),X0)),
inference(superposition,[status(thm)],[c_87448,c_24291]) ).
cnf(c_111740,plain,
divide(divide(X0,X1),divide(identity,X1)) = zero,
inference(demodulation,[status(thm)],[c_1142,c_474]) ).
cnf(c_112058,plain,
less_equal(divide(X0,X1),divide(identity,X1)),
inference(superposition,[status(thm)],[c_111740,c_203]) ).
cnf(c_112630,plain,
( ~ less_equal(divide(identity,X0),divide(X1,X0))
| divide(X1,X0) = divide(identity,X0) ),
inference(superposition,[status(thm)],[c_112058,c_61]) ).
cnf(c_122360,plain,
( ~ less_equal(divide(identity,idQ_idQa),idQa)
| divide(identity,idQ_idQa) = divide(idQa,idQ_idQa) ),
inference(superposition,[status(thm)],[c_25018,c_112630]) ).
cnf(c_122362,plain,
( ~ less_equal(divide(identity,idQ_idQb),idQb)
| divide(identity,idQ_idQb) = divide(idQb,idQ_idQb) ),
inference(superposition,[status(thm)],[c_19788,c_112630]) ).
cnf(c_122654,plain,
( ~ less_equal(divide(identity,idQ_idQb),idQb)
| divide(identity,idQ_idQb) = idQb ),
inference(light_normalisation,[status(thm)],[c_122362,c_19788]) ).
cnf(c_122655,plain,
divide(identity,idQ_idQb) = idQb,
inference(forward_subsumption_resolution,[status(thm)],[c_122654,c_19804]) ).
cnf(c_122657,plain,
( ~ less_equal(divide(identity,idQ_idQa),idQa)
| divide(identity,idQ_idQa) = idQa ),
inference(light_normalisation,[status(thm)],[c_122360,c_25018]) ).
cnf(c_122658,plain,
divide(identity,idQ_idQa) = idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_122657,c_25036]) ).
cnf(c_123177,plain,
less_equal(divide(idQb,divide(idQ_idQa,idQ_idQb)),idQa_Q__idQ_idQb),
inference(demodulation,[status(thm)],[c_61817,c_122655]) ).
cnf(c_123220,plain,
less_equal(divide(idQa,divide(idQ_idQb,idQ_idQa)),idQb_Q__idQ_idQa),
inference(demodulation,[status(thm)],[c_48082,c_122658]) ).
cnf(c_123824,plain,
divide(divide(idQb,divide(idQ_idQa,idQ_idQb)),idQa_Q__idQ_idQb) = zero,
inference(superposition,[status(thm)],[c_123177,c_204]) ).
cnf(c_123832,plain,
divide(divide(idQa,divide(idQ_idQb,idQ_idQa)),idQb_Q__idQ_idQa) = zero,
inference(superposition,[status(thm)],[c_123220,c_204]) ).
cnf(c_123884,plain,
less_equal(divide(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),zero),
inference(superposition,[status(thm)],[c_123824,c_79976]) ).
cnf(c_123954,plain,
less_equal(divide(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),zero),
inference(superposition,[status(thm)],[c_123832,c_87615]) ).
cnf(c_123980,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_123954,c_123884,c_28433,c_23455,c_10095,c_720,c_626,c_625,c_620,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : HEN011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.15 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 2 18:32:20 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 24.62/4.22 % SZS status Started for theBenchmark.p
% 24.62/4.22 % SZS status Unsatisfiable for theBenchmark.p
% 24.62/4.22
% 24.62/4.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 24.62/4.22
% 24.62/4.22 ------ iProver source info
% 24.62/4.22
% 24.62/4.22 git: date: 2024-05-02 19:28:25 +0000
% 24.62/4.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 24.62/4.22 git: non_committed_changes: false
% 24.62/4.22
% 24.62/4.22 ------ Parsing...successful
% 24.62/4.22
% 24.62/4.22
% 24.62/4.22
% 24.62/4.22 ------ 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
% 24.62/4.22
% 24.62/4.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 24.62/4.22
% 24.62/4.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.62/4.22 ------ Proving...
% 24.62/4.22 ------ Problem Properties
% 24.62/4.22
% 24.62/4.22
% 24.62/4.22 clauses 14
% 24.62/4.22 conjectures 1
% 24.62/4.22 EPR 4
% 24.62/4.22 Horn 14
% 24.62/4.22 unary 11
% 24.62/4.22 binary 2
% 24.62/4.22 lits 18
% 24.62/4.22 lits eq 10
% 24.62/4.22 fd_pure 0
% 24.62/4.22 fd_pseudo 0
% 24.62/4.22 fd_cond 0
% 24.62/4.22 fd_pseudo_cond 1
% 24.62/4.22 AC symbols 0
% 24.62/4.22
% 24.62/4.22 ------ Schedule dynamic 5 is on
% 24.62/4.22
% 24.62/4.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 24.62/4.22
% 24.62/4.22
% 24.62/4.22 ------
% 24.62/4.22 Current options:
% 24.62/4.22 ------
% 24.62/4.22
% 24.62/4.22
% 24.62/4.22
% 24.62/4.22
% 24.62/4.22 ------ Proving...
% 24.62/4.22
% 24.62/4.22
% 24.62/4.22 % SZS status Unsatisfiable for theBenchmark.p
% 24.62/4.22
% 24.62/4.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.62/4.22
% 24.62/4.22
%------------------------------------------------------------------------------