TSTP Solution File: HEN011-2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : HEN011-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 285.25s 38.37s
% Output : CNFRefutation 285.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 28
% Syntax : Number of clauses : 258 ( 145 unt; 0 nHn; 197 RR)
% Number of literals : 440 ( 150 equ; 185 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 6 ( 1 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 : 305 ( 35 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
quotient(X0,identity,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',everything_divide_identity_is_zero) ).
cnf(c_50,plain,
quotient(zero,X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(c_51,plain,
quotient(X0,X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(c_52,plain,
quotient(X0,zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
cnf(c_53,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X2)
| less_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
cnf(c_54,plain,
( ~ quotient(X0,X1,X2)
| ~ quotient(X0,X3,X4)
| ~ less_equal(X2,X3)
| less_equal(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
cnf(c_55,plain,
( ~ quotient(X0,X1,X2)
| ~ quotient(X0,X3,X4)
| ~ less_equal(X1,X3)
| less_equal(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy_implies_zQyLEzQx) ).
cnf(c_56,plain,
( ~ quotient(X0,X1,X2)
| ~ quotient(X3,X1,X4)
| ~ less_equal(X0,X3)
| less_equal(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy_implies_xQzLEyQz) ).
cnf(c_57,plain,
( ~ quotient(identity,X0,X1)
| ~ quotient(identity,X1,X2)
| ~ quotient(identity,X2,X3)
| X1 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_inversion_equals_three) ).
cnf(c_58,plain,
( ~ quotient(X0,X1,X2)
| ~ quotient(identity,X0,X1)
| ~ quotient(identity,X3,X0)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inversion_lemma) ).
cnf(c_59,plain,
quotient(identity,a,idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_a) ).
cnf(c_60,plain,
quotient(identity,b,idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_b) ).
cnf(c_61,plain,
quotient(identity,idQb,idQ_idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQb) ).
cnf(c_62,plain,
quotient(idQa,idQ_idQb,idQa_Q__idQ_idQb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idQa_divide_idQ_idQb) ).
cnf(c_63,plain,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQa) ).
cnf(c_64,plain,
quotient(idQb,idQ_idQa,idQb_Q__idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idQb_divide_idQ_idQa) ).
cnf(c_65,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_66,plain,
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
cnf(c_67,plain,
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
cnf(c_68,plain,
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).
cnf(c_69,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_70,plain,
less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
cnf(c_71,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_72,plain,
less_equal(X0,identity),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',identity_is_largest) ).
cnf(c_83,plain,
divide(X0,identity) = zero,
inference(well_definedness,[status(thm)],[c_49]) ).
cnf(c_84,plain,
divide(zero,X0) = zero,
inference(well_definedness,[status(thm)],[c_50]) ).
cnf(c_85,plain,
divide(X0,X0) = zero,
inference(well_definedness,[status(thm)],[c_51]) ).
cnf(c_86,plain,
divide(X0,zero) = X0,
inference(well_definedness,[status(thm)],[c_52]) ).
cnf(c_87,plain,
( divide(X0,X1) != X2
| divide(X0,X3) != X4
| ~ less_equal(X2,X3)
| less_equal(X4,X1) ),
inference(well_definedness,[status(thm)],[c_54]) ).
cnf(c_89,plain,
( divide(X0,X1) != X2
| divide(X0,X3) != X4
| ~ less_equal(X1,X3)
| less_equal(X4,X2) ),
inference(well_definedness,[status(thm)],[c_55]) ).
cnf(c_91,plain,
( divide(X0,X1) != X2
| divide(X3,X1) != X4
| ~ less_equal(X0,X3)
| less_equal(X2,X4) ),
inference(well_definedness,[status(thm)],[c_56]) ).
cnf(c_93,plain,
( divide(identity,X0) != X1
| divide(identity,X1) != X2
| divide(identity,X2) != X3
| X1 = X3 ),
inference(well_definedness,[status(thm)],[c_57]) ).
cnf(c_95,plain,
( divide(X0,X1) != X2
| divide(identity,X0) != X1
| divide(identity,X3) != X0
| X0 = X2 ),
inference(well_definedness,[status(thm)],[c_58]) ).
cnf(c_97,plain,
divide(identity,a) = idQa,
inference(well_definedness,[status(thm)],[c_59]) ).
cnf(c_98,plain,
divide(identity,b) = idQb,
inference(well_definedness,[status(thm)],[c_60]) ).
cnf(c_99,plain,
divide(identity,idQb) = idQ_idQb,
inference(well_definedness,[status(thm)],[c_61]) ).
cnf(c_100,plain,
divide(idQa,idQ_idQb) = idQa_Q__idQ_idQb,
inference(well_definedness,[status(thm)],[c_62]) ).
cnf(c_101,plain,
divide(identity,idQa) = idQ_idQa,
inference(well_definedness,[status(thm)],[c_63]) ).
cnf(c_102,plain,
divide(idQb,idQ_idQa) = idQb_Q__idQ_idQa,
inference(well_definedness,[status(thm)],[c_64]) ).
cnf(c_103,plain,
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
inference(well_definedness,[status(thm)],[c_66]) ).
cnf(c_104,plain,
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
inference(well_definedness,[status(thm)],[c_67]) ).
cnf(c_105,plain,
( divide(X0,X1) != X2
| less_equal(X2,X0) ),
inference(well_definedness,[status(thm)],[c_68]) ).
cnf(c_107,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_69]) ).
cnf(c_118,plain,
less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(unflattening,[status(thm)],[c_107]) ).
cnf(c_119,plain,
less_equal(divide(X0,X1),X0),
inference(unflattening,[status(thm)],[c_105]) ).
cnf(c_120,plain,
divide(identity,X0) = divide(divide(identity,X0),divide(identity,divide(identity,X0))),
inference(unflattening,[status(thm)],[c_95]) ).
cnf(c_121,plain,
divide(identity,X0) = divide(identity,divide(identity,divide(identity,X0))),
inference(unflattening,[status(thm)],[c_93]) ).
cnf(c_122,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X0,X2),divide(X1,X2)) ),
inference(unflattening,[status(thm)],[c_91]) ).
cnf(c_123,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X2,X1),divide(X2,X0)) ),
inference(unflattening,[status(thm)],[c_89]) ).
cnf(c_124,plain,
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
inference(unflattening,[status(thm)],[c_87]) ).
cnf(c_125,plain,
X0 = X0,
theory(equality) ).
cnf(c_127,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_128,plain,
( X0 != X1
| X2 != X3
| ~ less_equal(X1,X3)
| less_equal(X0,X2) ),
theory(equality) ).
cnf(c_129,plain,
( X0 != X1
| X2 != X3
| divide(X0,X2) = divide(X1,X3) ),
theory(equality) ).
cnf(c_174,plain,
idQb_Q__idQ_idQa = idQb_Q__idQ_idQa,
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_194,plain,
( divide(X0,idQa_Q__idQ_idQb) != zero
| less_equal(X0,idQa_Q__idQ_idQb) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_207,plain,
( X0 != X1
| idQb_Q__idQ_idQa != X2
| ~ less_equal(X1,X2)
| less_equal(X0,idQb_Q__idQ_idQa) ),
inference(instantiation,[status(thm)],[c_128]) ).
cnf(c_257,plain,
( divide(idQa_Q__idQ_idQb,idQa_Q__idQ_idQb) != zero
| less_equal(idQa_Q__idQ_idQb,idQa_Q__idQ_idQb) ),
inference(instantiation,[status(thm)],[c_194]) ).
cnf(c_258,plain,
divide(idQa_Q__idQ_idQb,idQa_Q__idQ_idQb) = zero,
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_289,plain,
less_equal(divide(idQa_Q__idQ_idQb,X0),idQa_Q__idQ_idQb),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_321,plain,
less_equal(divide(X0,idQa_Q__idQ_idQb),X0),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_403,plain,
( X0 != X1
| idQb_Q__idQ_idQa != idQb_Q__idQ_idQa
| ~ less_equal(X1,idQb_Q__idQ_idQa)
| less_equal(X0,idQb_Q__idQ_idQa) ),
inference(instantiation,[status(thm)],[c_207]) ).
cnf(c_420,plain,
( ~ less_equal(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa)
| ~ less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb) ),
inference(resolution,[status(thm)],[c_71,c_65]) ).
cnf(c_444,plain,
less_equal(zero,zero),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_471,plain,
( X0 != idQ_idQb
| divide(identity,idQb) = X0 ),
inference(resolution,[status(thm)],[c_127,c_99]) ).
cnf(c_479,plain,
( X0 != X1
| X1 = X0 ),
inference(resolution,[status(thm)],[c_127,c_125]) ).
cnf(c_480,plain,
( divide(idQa_Q__idQ_idQb,X0) != zero
| less_equal(idQa_Q__idQ_idQb,X0) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_510,plain,
X0 = divide(X0,zero),
inference(resolution,[status(thm)],[c_479,c_86]) ).
cnf(c_514,plain,
idQ_idQb = divide(identity,idQb),
inference(resolution,[status(thm)],[c_479,c_99]) ).
cnf(c_515,plain,
idQa_Q__idQ_idQb = divide(idQa,idQ_idQb),
inference(resolution,[status(thm)],[c_479,c_100]) ).
cnf(c_517,plain,
idQb_Q__idQ_idQa = divide(idQb,idQ_idQa),
inference(resolution,[status(thm)],[c_479,c_102]) ).
cnf(c_765,plain,
( ~ less_equal(divide(X0,X1),zero)
| ~ less_equal(zero,divide(X0,X1))
| less_equal(X0,X1) ),
inference(resolution,[status(thm)],[c_104,c_71]) ).
cnf(c_768,plain,
less_equal(X0,X0),
inference(resolution,[status(thm)],[c_104,c_85]) ).
cnf(c_821,plain,
( X0 != X1
| ~ less_equal(X2,X3)
| ~ less_equal(X1,zero)
| less_equal(X0,divide(X2,X3)) ),
inference(resolution,[status(thm)],[c_128,c_103]) ).
cnf(c_822,plain,
( X0 != X1
| ~ less_equal(X1,X2)
| less_equal(X0,X2) ),
inference(resolution,[status(thm)],[c_128,c_125]) ).
cnf(c_832,plain,
( X0 != X1
| ~ less_equal(X1,divide(X2,zero))
| less_equal(X0,X2) ),
inference(resolution,[status(thm)],[c_128,c_510]) ).
cnf(c_837,plain,
( X0 != X1
| ~ less_equal(X1,divide(identity,idQb))
| less_equal(X0,idQ_idQb) ),
inference(resolution,[status(thm)],[c_128,c_514]) ).
cnf(c_1093,plain,
( ~ less_equal(X0,divide(X1,X2))
| less_equal(X0,X1) ),
inference(resolution,[status(thm)],[c_119,c_53]) ).
cnf(c_1114,plain,
( X0 != divide(X1,X2)
| idQb_Q__idQ_idQa != idQb_Q__idQ_idQa
| ~ less_equal(divide(X1,X2),idQb_Q__idQ_idQa)
| less_equal(X0,idQb_Q__idQ_idQa) ),
inference(instantiation,[status(thm)],[c_403]) ).
cnf(c_1451,plain,
less_equal(zero,divide(X0,X1)),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_1458,plain,
( X0 != idQ_idQb
| X0 = divide(identity,idQb) ),
inference(resolution,[status(thm)],[c_471,c_479]) ).
cnf(c_1598,plain,
( ~ less_equal(X0,divide(X1,X2))
| ~ less_equal(X3,X2)
| less_equal(X0,divide(X1,X3)) ),
inference(resolution,[status(thm)],[c_123,c_53]) ).
cnf(c_1636,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X2,divide(X2,X0)),X1) ),
inference(resolution,[status(thm)],[c_124,c_123]) ).
cnf(c_1736,plain,
( ~ less_equal(idQa_Q__idQ_idQb,X0)
| less_equal(divide(idQa,idQ_idQb),X0) ),
inference(resolution,[status(thm)],[c_822,c_100]) ).
cnf(c_1744,plain,
( X0 != X1
| X2 != X3
| ~ less_equal(divide(X1,X3),X4)
| less_equal(divide(X0,X2),X4) ),
inference(resolution,[status(thm)],[c_822,c_129]) ).
cnf(c_1745,plain,
( ~ less_equal(divide(idQb,idQ_idQa),X0)
| less_equal(idQb_Q__idQ_idQa,X0) ),
inference(resolution,[status(thm)],[c_822,c_517]) ).
cnf(c_1764,plain,
( ~ less_equal(divide(X0,zero),X1)
| less_equal(X0,X1) ),
inference(resolution,[status(thm)],[c_822,c_510]) ).
cnf(c_1769,plain,
( ~ less_equal(divide(identity,idQb),X0)
| less_equal(idQ_idQb,X0) ),
inference(resolution,[status(thm)],[c_822,c_514]) ).
cnf(c_1771,plain,
( ~ less_equal(divide(idQa,idQ_idQb),X0)
| less_equal(idQa_Q__idQ_idQb,X0) ),
inference(resolution,[status(thm)],[c_822,c_515]) ).
cnf(c_1986,plain,
less_equal(idQb_Q__idQ_idQa,idQb),
inference(resolution,[status(thm)],[c_1745,c_119]) ).
cnf(c_2025,plain,
divide(idQ_idQb,divide(identity,idQ_idQb)) = idQ_idQb,
inference(superposition,[status(thm)],[c_99,c_120]) ).
cnf(c_2069,plain,
( ~ less_equal(X0,idQb_Q__idQ_idQa)
| less_equal(X0,idQb) ),
inference(resolution,[status(thm)],[c_1986,c_53]) ).
cnf(c_2076,plain,
less_equal(divide(idQb_Q__idQ_idQa,X0),idQb),
inference(resolution,[status(thm)],[c_2069,c_119]) ).
cnf(c_2090,plain,
less_equal(divide(idQb_Q__idQ_idQa,idQb),X0),
inference(resolution,[status(thm)],[c_2076,c_124]) ).
cnf(c_2131,plain,
( ~ less_equal(X0,divide(idQb_Q__idQ_idQa,idQb))
| less_equal(X0,X1) ),
inference(resolution,[status(thm)],[c_2090,c_53]) ).
cnf(c_2330,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(X0,idQ_idQb)),divide(divide(idQa,X0),idQ_idQb)),
inference(superposition,[status(thm)],[c_100,c_118]) ).
cnf(c_2347,plain,
less_equal(divide(divide(X0,divide(identity,idQ_idQb)),idQ_idQb),divide(divide(X0,idQ_idQb),divide(identity,idQ_idQb))),
inference(superposition,[status(thm)],[c_2025,c_118]) ).
cnf(c_2507,plain,
( idQa_Q__idQ_idQb != divide(X0,X1)
| idQb_Q__idQ_idQa != idQb_Q__idQ_idQa
| ~ less_equal(divide(X0,X1),idQb_Q__idQ_idQa)
| less_equal(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa) ),
inference(instantiation,[status(thm)],[c_1114]) ).
cnf(c_3584,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X0,X2),X1) ),
inference(superposition,[status(thm)],[c_119,c_53]) ).
cnf(c_4386,plain,
less_equal(divide(X0,divide(X0,X1)),X1),
inference(resolution,[status(thm)],[c_768,c_124]) ).
cnf(c_4395,plain,
less_equal(idQa_Q__idQ_idQb,divide(idQa,idQ_idQb)),
inference(resolution,[status(thm)],[c_768,c_1771]) ).
cnf(c_4953,plain,
( ~ less_equal(X0,idQa_Q__idQ_idQb)
| less_equal(X0,divide(idQa,idQ_idQb)) ),
inference(resolution,[status(thm)],[c_4395,c_53]) ).
cnf(c_5475,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)),divide(zero,idQ_idQb)),
inference(superposition,[status(thm)],[c_83,c_2330]) ).
cnf(c_5478,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)),zero),
inference(demodulation,[status(thm)],[c_5475,c_84]) ).
cnf(c_5815,plain,
( ~ less_equal(idQa_Q__idQ_idQb,divide(X0,X1))
| less_equal(divide(idQa,idQ_idQb),X0) ),
inference(resolution,[status(thm)],[c_1093,c_1736]) ).
cnf(c_5927,plain,
( ~ less_equal(zero,divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)))
| divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)) = zero ),
inference(superposition,[status(thm)],[c_5478,c_71]) ).
cnf(c_6299,plain,
divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)) = zero,
inference(superposition,[status(thm)],[c_70,c_5927]) ).
cnf(c_10230,plain,
divide(idQ_idQb,divide(identity,idQ_idQb)) = idQ_idQb,
inference(superposition,[status(thm)],[c_99,c_120]) ).
cnf(c_10250,plain,
divide(identity,divide(identity,idQ_idQb)) = idQ_idQb,
inference(superposition,[status(thm)],[c_99,c_121]) ).
cnf(c_10255,plain,
divide(divide(identity,idQ_idQb),idQ_idQb) = divide(identity,idQ_idQb),
inference(superposition,[status(thm)],[c_10250,c_120]) ).
cnf(c_10628,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_70,c_71]) ).
cnf(c_10670,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(X0,idQ_idQb)),divide(divide(idQa,X0),idQ_idQb)),
inference(superposition,[status(thm)],[c_100,c_118]) ).
cnf(c_10678,plain,
less_equal(divide(divide(identity,idQ_idQb),divide(X0,idQ_idQb)),divide(divide(divide(identity,idQ_idQb),X0),idQ_idQb)),
inference(superposition,[status(thm)],[c_10255,c_118]) ).
cnf(c_10683,plain,
less_equal(divide(divide(X0,idQb),idQ_idQb),divide(divide(X0,identity),idQb)),
inference(superposition,[status(thm)],[c_99,c_118]) ).
cnf(c_10703,plain,
less_equal(divide(divide(idQa,X0),divide(idQ_idQb,X0)),divide(idQa_Q__idQ_idQb,X0)),
inference(superposition,[status(thm)],[c_100,c_118]) ).
cnf(c_10713,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_118,c_71]) ).
cnf(c_10718,plain,
less_equal(divide(divide(X0,idQb),idQ_idQb),zero),
inference(demodulation,[status(thm)],[c_10683,c_83,c_84]) ).
cnf(c_11095,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)),divide(divide(idQa,divide(identity,idQ_idQb)),idQ_idQb)),
inference(superposition,[status(thm)],[c_10255,c_10670]) ).
cnf(c_11172,plain,
( ~ less_equal(divide(divide(idQa,divide(identity,idQ_idQb)),idQ_idQb),divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)))
| divide(divide(idQa,divide(identity,idQ_idQb)),idQ_idQb) = divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)) ),
inference(superposition,[status(thm)],[c_11095,c_71]) ).
cnf(c_13130,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)),divide(zero,idQ_idQb)),
inference(superposition,[status(thm)],[c_83,c_10670]) ).
cnf(c_13133,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)),zero),
inference(demodulation,[status(thm)],[c_13130,c_84]) ).
cnf(c_13906,plain,
( ~ less_equal(zero,divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)))
| divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)) = zero ),
inference(superposition,[status(thm)],[c_13133,c_71]) ).
cnf(c_13910,plain,
divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)) = zero,
inference(global_subsumption_just,[status(thm)],[c_13906,c_6299]) ).
cnf(c_16592,plain,
less_equal(divide(divide(idQa,divide(identity,idQ_idQb)),divide(idQ_idQb,divide(identity,idQ_idQb))),zero),
inference(superposition,[status(thm)],[c_13910,c_10703]) ).
cnf(c_16605,plain,
less_equal(divide(divide(idQa,divide(identity,idQ_idQb)),idQ_idQb),zero),
inference(light_normalisation,[status(thm)],[c_16592,c_10230]) ).
cnf(c_16699,plain,
( ~ less_equal(zero,X0)
| less_equal(divide(divide(idQa,divide(identity,idQ_idQb)),idQ_idQb),X0) ),
inference(superposition,[status(thm)],[c_16605,c_53]) ).
cnf(c_16703,plain,
less_equal(divide(divide(idQa,divide(identity,idQ_idQb)),idQ_idQb),X0),
inference(global_subsumption_just,[status(thm)],[c_16699,c_70,c_16699]) ).
cnf(c_16710,plain,
divide(divide(idQa,divide(identity,idQ_idQb)),idQ_idQb) = divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)),
inference(backward_subsumption_resolution,[status(thm)],[c_11172,c_16703]) ).
cnf(c_16711,plain,
divide(divide(idQa,divide(identity,idQ_idQb)),idQ_idQb) = zero,
inference(light_normalisation,[status(thm)],[c_16710,c_13910]) ).
cnf(c_24727,plain,
( ~ less_equal(divide(X0,X1),zero)
| less_equal(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_765,c_765,c_1451]) ).
cnf(c_24988,plain,
( ~ less_equal(X0,zero)
| less_equal(X1,divide(X1,X0)) ),
inference(resolution,[status(thm)],[c_24727,c_1636]) ).
cnf(c_26033,plain,
less_equal(divide(divide(identity,idQ_idQb),zero),divide(divide(divide(identity,idQ_idQb),divide(idQa,divide(identity,idQ_idQb))),idQ_idQb)),
inference(superposition,[status(thm)],[c_16711,c_10678]) ).
cnf(c_26057,plain,
less_equal(divide(identity,idQ_idQb),divide(divide(divide(identity,idQ_idQb),divide(idQa,divide(identity,idQ_idQb))),idQ_idQb)),
inference(demodulation,[status(thm)],[c_26033,c_86]) ).
cnf(c_27303,plain,
( ~ less_equal(divide(divide(divide(identity,idQ_idQb),divide(idQa,divide(identity,idQ_idQb))),idQ_idQb),divide(identity,idQ_idQb))
| divide(divide(divide(identity,idQ_idQb),divide(idQa,divide(identity,idQ_idQb))),idQ_idQb) = divide(identity,idQ_idQb) ),
inference(superposition,[status(thm)],[c_26057,c_71]) ).
cnf(c_27539,plain,
( ~ less_equal(idQa_Q__idQ_idQb,divide(X0,X1))
| ~ less_equal(X2,X1)
| less_equal(divide(idQa,idQ_idQb),divide(X0,X2)) ),
inference(resolution,[status(thm)],[c_1598,c_1736]) ).
cnf(c_27864,plain,
( divide(idQa_Q__idQ_idQb,idQb) != zero
| less_equal(idQa_Q__idQ_idQb,idQb) ),
inference(instantiation,[status(thm)],[c_480]) ).
cnf(c_28477,plain,
( ~ less_equal(divide(divide(identity,idQ_idQb),divide(idQa,divide(identity,idQ_idQb))),identity)
| divide(divide(divide(identity,idQ_idQb),divide(idQa,divide(identity,idQ_idQb))),idQ_idQb) = divide(identity,idQ_idQb) ),
inference(superposition,[status(thm)],[c_122,c_27303]) ).
cnf(c_30226,plain,
divide(identity,divide(identity,idQb)) = idQb,
inference(superposition,[status(thm)],[c_98,c_121]) ).
cnf(c_30231,plain,
divide(identity,idQ_idQb) = idQb,
inference(light_normalisation,[status(thm)],[c_30226,c_99]) ).
cnf(c_32322,plain,
( ~ less_equal(divide(idQb,divide(idQa,idQb)),identity)
| divide(divide(idQb,divide(idQa,idQb)),idQ_idQb) = idQb ),
inference(demodulation,[status(thm)],[c_28477,c_30231]) ).
cnf(c_32323,plain,
divide(divide(idQb,divide(idQa,idQb)),idQ_idQb) = idQb,
inference(superposition,[status(thm)],[c_72,c_32322]) ).
cnf(c_33838,plain,
less_equal(divide(idQ_idQa,idQa_Q__idQ_idQb),idQ_idQa),
inference(instantiation,[status(thm)],[c_321]) ).
cnf(c_34356,plain,
less_equal(divide(idQa_Q__idQ_idQb,idQ_idQa),idQa_Q__idQ_idQb),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_35967,plain,
less_equal(idQb,divide(idQb,divide(idQa,idQb))),
inference(superposition,[status(thm)],[c_32323,c_119]) ).
cnf(c_35979,plain,
less_equal(divide(idQa_Q__idQ_idQb,idQb),divide(divide(idQa,divide(idQb,divide(idQa,idQb))),idQ_idQb)),
inference(superposition,[status(thm)],[c_32323,c_10670]) ).
cnf(c_39267,plain,
( X0 != idQ_idQb
| ~ less_equal(X1,X2)
| ~ less_equal(X0,zero)
| less_equal(divide(identity,idQb),divide(X1,X2)) ),
inference(resolution,[status(thm)],[c_821,c_471]) ).
cnf(c_48973,plain,
( X0 != X1
| X2 != X3
| less_equal(divide(X0,X2),X1) ),
inference(resolution,[status(thm)],[c_1744,c_119]) ).
cnf(c_51495,plain,
( ~ less_equal(divide(idQb,divide(idQa,idQb)),idQb)
| divide(idQb,divide(idQa,idQb)) = idQb ),
inference(superposition,[status(thm)],[c_35967,c_71]) ).
cnf(c_51733,plain,
divide(divide(idQa_Q__idQ_idQb,idQb),divide(divide(idQa,divide(idQb,divide(idQa,idQb))),idQ_idQb)) = zero,
inference(superposition,[status(thm)],[c_35979,c_103]) ).
cnf(c_55346,plain,
( ~ less_equal(divide(divide(X0,divide(identity,idQ_idQb)),idQ_idQb),divide(divide(X0,idQ_idQb),divide(identity,idQ_idQb)))
| divide(divide(X0,idQ_idQb),divide(divide(identity,idQ_idQb),idQ_idQb)) = divide(divide(X0,divide(identity,idQ_idQb)),idQ_idQb) ),
inference(superposition,[status(thm)],[c_10255,c_10713]) ).
cnf(c_55731,plain,
divide(divide(X0,idQ_idQb),divide(divide(identity,idQ_idQb),idQ_idQb)) = divide(divide(X0,divide(identity,idQ_idQb)),idQ_idQb),
inference(global_subsumption_just,[status(thm)],[c_55346,c_2347,c_55346]) ).
cnf(c_55734,plain,
divide(divide(X0,divide(identity,idQ_idQb)),idQ_idQb) = divide(divide(X0,idQ_idQb),divide(identity,idQ_idQb)),
inference(light_normalisation,[status(thm)],[c_55731,c_10255]) ).
cnf(c_55735,plain,
divide(divide(X0,idQb),idQ_idQb) = divide(divide(X0,idQ_idQb),idQb),
inference(demodulation,[status(thm)],[c_55734,c_30231]) ).
cnf(c_58498,plain,
( idQa_Q__idQ_idQb != divide(idQa,idQ_idQb)
| idQb_Q__idQ_idQa != idQb_Q__idQ_idQa
| ~ less_equal(divide(idQa,idQ_idQb),idQb_Q__idQ_idQa)
| less_equal(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa) ),
inference(instantiation,[status(thm)],[c_2507]) ).
cnf(c_78856,plain,
less_equal(divide(X0,divide(X0,divide(idQb_Q__idQ_idQa,idQb))),X1),
inference(resolution,[status(thm)],[c_4386,c_2131]) ).
cnf(c_81290,plain,
less_equal(X0,divide(X0,divide(idQb_Q__idQ_idQa,idQb))),
inference(resolution,[status(thm)],[c_78856,c_24727]) ).
cnf(c_83875,plain,
less_equal(divide(divide(X0,idQ_idQb),idQb),zero),
inference(demodulation,[status(thm)],[c_10718,c_55735]) ).
cnf(c_83889,plain,
divide(divide(X0,idQ_idQb),idQb) = zero,
inference(superposition,[status(thm)],[c_83875,c_10628]) ).
cnf(c_94179,plain,
divide(idQb,divide(idQa,idQb)) = idQb,
inference(superposition,[status(thm)],[c_119,c_51495]) ).
cnf(c_94545,plain,
divide(idQa_Q__idQ_idQb,idQb) = zero,
inference(demodulation,[status(thm)],[c_51733,c_86,c_55735,c_83889,c_94179]) ).
cnf(c_97228,plain,
divide(idQ_idQa,divide(identity,idQ_idQa)) = idQ_idQa,
inference(superposition,[status(thm)],[c_101,c_120]) ).
cnf(c_97361,plain,
divide(identity,divide(identity,idQ_idQa)) = idQ_idQa,
inference(superposition,[status(thm)],[c_101,c_121]) ).
cnf(c_97368,plain,
divide(divide(identity,idQ_idQa),idQ_idQa) = divide(identity,idQ_idQa),
inference(superposition,[status(thm)],[c_97361,c_120]) ).
cnf(c_97401,plain,
( ~ less_equal(X0,zero)
| X0 = zero ),
inference(superposition,[status(thm)],[c_70,c_71]) ).
cnf(c_97475,plain,
less_equal(divide(divide(identity,X0),divide(X1,divide(identity,divide(identity,X0)))),divide(divide(identity,X1),divide(identity,divide(identity,X0)))),
inference(superposition,[status(thm)],[c_121,c_118]) ).
cnf(c_97479,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(X0,idQ_idQb)),divide(divide(idQa,X0),idQ_idQb)),
inference(superposition,[status(thm)],[c_100,c_118]) ).
cnf(c_97481,plain,
less_equal(divide(idQb_Q__idQ_idQa,divide(X0,idQ_idQa)),divide(divide(idQb,X0),idQ_idQa)),
inference(superposition,[status(thm)],[c_102,c_118]) ).
cnf(c_97482,plain,
less_equal(divide(idQb,divide(X0,idQ_idQb)),divide(divide(identity,X0),idQ_idQb)),
inference(superposition,[status(thm)],[c_30231,c_118]) ).
cnf(c_97483,plain,
less_equal(divide(idQ_idQa,divide(X0,divide(identity,idQ_idQa))),divide(divide(idQ_idQa,X0),divide(identity,idQ_idQa))),
inference(superposition,[status(thm)],[c_97228,c_118]) ).
cnf(c_97498,plain,
less_equal(divide(divide(X0,idQ_idQa),idQb_Q__idQ_idQa),divide(divide(X0,idQb),idQ_idQa)),
inference(superposition,[status(thm)],[c_102,c_118]) ).
cnf(c_97520,plain,
less_equal(divide(divide(identity,X0),divide(idQa,X0)),divide(idQ_idQa,X0)),
inference(superposition,[status(thm)],[c_101,c_118]) ).
cnf(c_97530,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_118,c_71]) ).
cnf(c_97988,plain,
less_equal(divide(idQa_Q__idQ_idQb,divide(identity,idQ_idQb)),divide(zero,idQ_idQb)),
inference(superposition,[status(thm)],[c_83,c_97479]) ).
cnf(c_97997,plain,
less_equal(divide(idQa_Q__idQ_idQb,idQb),divide(zero,idQ_idQb)),
inference(light_normalisation,[status(thm)],[c_97988,c_30231]) ).
cnf(c_97998,plain,
less_equal(divide(idQa_Q__idQ_idQb,idQb),zero),
inference(demodulation,[status(thm)],[c_97997,c_84]) ).
cnf(c_98668,plain,
less_equal(idQa_Q__idQ_idQb,idQa),
inference(superposition,[status(thm)],[c_100,c_119]) ).
cnf(c_98678,plain,
divide(divide(X0,X1),X0) = zero,
inference(superposition,[status(thm)],[c_119,c_103]) ).
cnf(c_98679,plain,
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(superposition,[status(thm)],[c_119,c_71]) ).
cnf(c_98680,plain,
( ~ less_equal(X0,X1)
| less_equal(divide(X0,X2),X1) ),
inference(superposition,[status(thm)],[c_119,c_53]) ).
cnf(c_99209,plain,
( ~ less_equal(divide(X0,X1),divide(X0,X2))
| ~ less_equal(X1,X2)
| divide(X0,X1) = divide(X0,X2) ),
inference(superposition,[status(thm)],[c_123,c_71]) ).
cnf(c_99210,plain,
( ~ less_equal(divide(X0,X1),X2)
| ~ less_equal(X1,X3)
| less_equal(divide(X0,X3),X2) ),
inference(superposition,[status(thm)],[c_123,c_53]) ).
cnf(c_99858,plain,
divide(idQa_Q__idQ_idQb,idQb) = zero,
inference(superposition,[status(thm)],[c_97998,c_97401]) ).
cnf(c_100095,plain,
divide(idQa_Q__idQ_idQb,idQa) = zero,
inference(superposition,[status(thm)],[c_98668,c_103]) ).
cnf(c_100764,plain,
less_equal(divide(divide(X0,X1),divide(divide(X0,X2),X1)),divide(X2,X1)),
inference(superposition,[status(thm)],[c_118,c_124]) ).
cnf(c_101407,plain,
less_equal(divide(idQa,divide(X0,divide(identity,idQa))),divide(divide(identity,X0),divide(identity,idQa))),
inference(superposition,[status(thm)],[c_97,c_97475]) ).
cnf(c_101410,plain,
divide(identity,divide(identity,idQa)) = idQa,
inference(superposition,[status(thm)],[c_97,c_121]) ).
cnf(c_101414,plain,
divide(identity,idQ_idQa) = idQa,
inference(light_normalisation,[status(thm)],[c_101410,c_101]) ).
cnf(c_101429,plain,
less_equal(divide(idQa,divide(X0,idQ_idQa)),divide(divide(identity,X0),idQ_idQa)),
inference(light_normalisation,[status(thm)],[c_101407,c_101]) ).
cnf(c_107579,plain,
less_equal(divide(idQb,divide(idQa,idQ_idQb)),divide(idQ_idQa,idQ_idQb)),
inference(superposition,[status(thm)],[c_101,c_97482]) ).
cnf(c_107588,plain,
less_equal(divide(idQb,idQa_Q__idQ_idQb),divide(idQ_idQa,idQ_idQb)),
inference(light_normalisation,[status(thm)],[c_107579,c_100]) ).
cnf(c_107617,plain,
less_equal(divide(idQ_idQa,divide(X0,idQa)),divide(divide(idQ_idQa,X0),idQa)),
inference(demodulation,[status(thm)],[c_97483,c_101414]) ).
cnf(c_107622,plain,
less_equal(divide(idQ_idQa,zero),divide(divide(idQ_idQa,idQa_Q__idQ_idQb),idQa)),
inference(superposition,[status(thm)],[c_100095,c_107617]) ).
cnf(c_107638,plain,
less_equal(idQ_idQa,divide(divide(idQ_idQa,idQa_Q__idQ_idQb),idQa)),
inference(demodulation,[status(thm)],[c_107622,c_86]) ).
cnf(c_107665,plain,
( ~ less_equal(X0,idQa_Q__idQ_idQb)
| ~ less_equal(idQb_Q__idQ_idQa,X0)
| less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_107684,plain,
( ~ less_equal(divide(X0,X1),idQa_Q__idQ_idQb)
| ~ less_equal(idQb_Q__idQ_idQa,divide(X0,X1))
| less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb) ),
inference(instantiation,[status(thm)],[c_107665]) ).
cnf(c_107794,plain,
( ~ less_equal(X0,X1)
| ~ less_equal(X1,idQb_Q__idQ_idQa)
| less_equal(X0,idQb_Q__idQ_idQa) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_107878,plain,
( ~ less_equal(X0,divide(X1,X2))
| ~ less_equal(divide(X1,X2),idQb_Q__idQ_idQa)
| less_equal(X0,idQb_Q__idQ_idQa) ),
inference(instantiation,[status(thm)],[c_107794]) ).
cnf(c_108156,plain,
( ~ less_equal(divide(X0,X1),divide(X0,X2))
| ~ less_equal(divide(X0,X2),idQb_Q__idQ_idQa)
| less_equal(divide(X0,X1),idQb_Q__idQ_idQa) ),
inference(instantiation,[status(thm)],[c_107878]) ).
cnf(c_109711,plain,
divide(divide(idQb,idQa_Q__idQ_idQb),divide(idQ_idQa,idQ_idQb)) = zero,
inference(superposition,[status(thm)],[c_107588,c_103]) ).
cnf(c_109956,plain,
( ~ less_equal(divide(divide(idQ_idQa,idQa_Q__idQ_idQb),idQa),idQ_idQa)
| divide(divide(idQ_idQa,idQa_Q__idQ_idQb),idQa) = idQ_idQa ),
inference(superposition,[status(thm)],[c_107638,c_71]) ).
cnf(c_112212,plain,
less_equal(divide(divide(idQb,divide(idQ_idQa,idQ_idQb)),divide(idQa_Q__idQ_idQb,divide(idQ_idQa,idQ_idQb))),zero),
inference(superposition,[status(thm)],[c_109711,c_118]) ).
cnf(c_112844,plain,
( ~ less_equal(divide(idQa,idQ_idQb),divide(idQa,X0))
| ~ less_equal(divide(idQa,X0),idQb_Q__idQ_idQa)
| less_equal(divide(idQa,idQ_idQb),idQb_Q__idQ_idQa) ),
inference(instantiation,[status(thm)],[c_108156]) ).
cnf(c_115790,plain,
( ~ less_equal(divide(X0,idQ_idQa),idQa_Q__idQ_idQb)
| ~ less_equal(idQb_Q__idQ_idQa,divide(X0,idQ_idQa))
| less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb) ),
inference(instantiation,[status(thm)],[c_107684]) ).
cnf(c_118572,plain,
less_equal(divide(divide(identity,idQ_idQa),idQb_Q__idQ_idQa),divide(divide(divide(identity,idQ_idQa),idQb),idQ_idQa)),
inference(superposition,[status(thm)],[c_97368,c_97498]) ).
cnf(c_118580,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa),divide(zero,idQ_idQa)),
inference(superposition,[status(thm)],[c_99858,c_97498]) ).
cnf(c_118586,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa),zero),
inference(demodulation,[status(thm)],[c_118580,c_84]) ).
cnf(c_118601,plain,
less_equal(divide(idQa,idQb_Q__idQ_idQa),divide(divide(idQa,idQb),idQ_idQa)),
inference(demodulation,[status(thm)],[c_118572,c_101414]) ).
cnf(c_119581,plain,
less_equal(divide(divide(idQb,divide(idQ_idQa,idQ_idQb)),zero),divide(idQa_Q__idQ_idQb,divide(idQ_idQa,idQ_idQb))),
inference(superposition,[status(thm)],[c_112212,c_124]) ).
cnf(c_119583,plain,
less_equal(divide(idQb,divide(idQ_idQa,idQ_idQb)),divide(idQa_Q__idQ_idQb,divide(idQ_idQa,idQ_idQb))),
inference(demodulation,[status(thm)],[c_119581,c_86]) ).
cnf(c_123210,plain,
( ~ less_equal(divide(idQa_Q__idQ_idQb,idQ_idQa),idQa_Q__idQ_idQb)
| ~ less_equal(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa))
| less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb) ),
inference(instantiation,[status(thm)],[c_115790]) ).
cnf(c_127755,plain,
less_equal(divide(divide(idQa_Q__idQ_idQb,idQ_idQa),zero),idQb_Q__idQ_idQa),
inference(superposition,[status(thm)],[c_118586,c_124]) ).
cnf(c_127757,plain,
less_equal(divide(idQa_Q__idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa),
inference(demodulation,[status(thm)],[c_127755,c_86]) ).
cnf(c_128024,plain,
( ~ less_equal(divide(divide(idQa,idQb),idQ_idQa),divide(idQa,idQb_Q__idQ_idQa))
| divide(divide(idQa,idQb),idQ_idQa) = divide(idQa,idQb_Q__idQ_idQa) ),
inference(superposition,[status(thm)],[c_118601,c_71]) ).
cnf(c_129637,plain,
( ~ less_equal(divide(idQa_Q__idQ_idQb,divide(idQ_idQa,idQ_idQb)),divide(idQb,divide(idQ_idQa,idQ_idQb)))
| divide(idQb,divide(idQ_idQa,idQ_idQb)) = divide(idQa_Q__idQ_idQb,divide(idQ_idQa,idQ_idQb)) ),
inference(superposition,[status(thm)],[c_119583,c_71]) ).
cnf(c_139526,plain,
less_equal(divide(idQa,idQ_idQb),idQa_Q__idQ_idQb),
inference(resolution,[status(thm)],[c_5815,c_81290]) ).
cnf(c_140289,plain,
( ~ less_equal(X0,divide(idQa,idQ_idQb))
| less_equal(X0,idQa_Q__idQ_idQb) ),
inference(resolution,[status(thm)],[c_139526,c_53]) ).
cnf(c_158406,plain,
( ~ less_equal(idQ_idQb,X0)
| less_equal(divide(idQa,X0),idQa_Q__idQ_idQb) ),
inference(resolution,[status(thm)],[c_140289,c_123]) ).
cnf(c_171538,plain,
( ~ less_equal(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa))
| divide(idQa_Q__idQ_idQb,idQ_idQa) = idQb_Q__idQ_idQa ),
inference(superposition,[status(thm)],[c_127757,c_71]) ).
cnf(c_177441,plain,
( ~ less_equal(idQa_Q__idQ_idQb,idQb)
| divide(idQb,divide(idQ_idQa,idQ_idQb)) = divide(idQa_Q__idQ_idQb,divide(idQ_idQa,idQ_idQb)) ),
inference(superposition,[status(thm)],[c_122,c_129637]) ).
cnf(c_177442,plain,
divide(idQb,divide(idQ_idQa,idQ_idQb)) = divide(idQa_Q__idQ_idQb,divide(idQ_idQa,idQ_idQb)),
inference(global_subsumption_just,[status(thm)],[c_177441,c_27864,c_94545,c_177441]) ).
cnf(c_184640,plain,
( ~ less_equal(idQ_idQb,X0)
| less_equal(divide(idQa,idQa_Q__idQ_idQb),X0) ),
inference(resolution,[status(thm)],[c_158406,c_124]) ).
cnf(c_190465,plain,
( ~ less_equal(divide(idQa,idQb),divide(idQa,idQb_Q__idQ_idQa))
| divide(divide(idQa,idQb),idQ_idQa) = divide(idQa,idQb_Q__idQ_idQa) ),
inference(superposition,[status(thm)],[c_98680,c_128024]) ).
cnf(c_190475,plain,
( ~ less_equal(divide(idQ_idQa,idQa_Q__idQ_idQb),idQ_idQa)
| divide(divide(idQ_idQa,idQa_Q__idQ_idQb),idQa) = idQ_idQa ),
inference(superposition,[status(thm)],[c_98680,c_109956]) ).
cnf(c_190611,plain,
divide(divide(idQ_idQa,idQa_Q__idQ_idQb),idQa) = idQ_idQa,
inference(global_subsumption_just,[status(thm)],[c_190475,c_33838,c_190475]) ).
cnf(c_231866,plain,
( ~ less_equal(divide(divide(X0,divide(X1,X2)),X1),divide(divide(X0,X1),zero))
| divide(divide(X0,X1),divide(divide(X1,X2),X1)) = divide(divide(X0,divide(X1,X2)),X1) ),
inference(superposition,[status(thm)],[c_98678,c_97530]) ).
cnf(c_232083,plain,
( ~ less_equal(divide(divide(X0,divide(X1,X2)),X1),divide(divide(X0,X1),zero))
| divide(divide(X0,divide(X1,X2)),X1) = divide(divide(X0,X1),zero) ),
inference(demodulation,[status(thm)],[c_231866,c_98678]) ).
cnf(c_232086,plain,
( ~ less_equal(divide(divide(X0,divide(X1,X2)),X1),divide(X0,X1))
| divide(divide(X0,divide(X1,X2)),X1) = divide(X0,X1) ),
inference(demodulation,[status(thm)],[c_232083,c_86]) ).
cnf(c_277875,plain,
less_equal(divide(idQb_Q__idQ_idQa,divide(divide(idQ_idQa,idQ_idQb),idQ_idQa)),divide(divide(idQa_Q__idQ_idQb,divide(idQ_idQa,idQ_idQb)),idQ_idQa)),
inference(superposition,[status(thm)],[c_177442,c_97481]) ).
cnf(c_277895,plain,
less_equal(idQb_Q__idQ_idQa,divide(divide(idQa_Q__idQ_idQb,divide(idQ_idQa,idQ_idQb)),idQ_idQa)),
inference(demodulation,[status(thm)],[c_277875,c_86,c_98678]) ).
cnf(c_303426,plain,
( X0 != X1
| ~ less_equal(zero,zero)
| less_equal(X0,X1) ),
inference(resolution,[status(thm)],[c_832,c_24988]) ).
cnf(c_309955,plain,
( X0 != divide(identity,idQb)
| less_equal(X0,idQ_idQb) ),
inference(resolution,[status(thm)],[c_837,c_768]) ).
cnf(c_311438,plain,
( ~ less_equal(idQb_Q__idQ_idQa,idQb)
| divide(divide(idQa,idQb),idQ_idQa) = divide(idQa,idQb_Q__idQ_idQa) ),
inference(superposition,[status(thm)],[c_123,c_190465]) ).
cnf(c_311439,plain,
divide(divide(idQa,idQb),idQ_idQa) = divide(idQa,idQb_Q__idQ_idQa),
inference(global_subsumption_just,[status(thm)],[c_311438,c_1986,c_311438]) ).
cnf(c_338098,plain,
( ~ less_equal(divide(idQ_idQa,idQa_Q__idQ_idQb),idQ_idQa)
| divide(divide(idQ_idQa,idQa_Q__idQ_idQb),idQa) = divide(idQ_idQa,idQa_Q__idQ_idQb) ),
inference(superposition,[status(thm)],[c_190611,c_98679]) ).
cnf(c_338198,plain,
divide(divide(idQ_idQa,idQa_Q__idQ_idQb),idQa) = divide(idQ_idQa,idQa_Q__idQ_idQb),
inference(global_subsumption_just,[status(thm)],[c_338098,c_33838,c_338098]) ).
cnf(c_338200,plain,
divide(idQ_idQa,idQa_Q__idQ_idQb) = idQ_idQa,
inference(demodulation,[status(thm)],[c_338198,c_190611]) ).
cnf(c_419392,plain,
less_equal(divide(divide(divide(X0,X1),X2),divide(zero,X2)),divide(X0,X2)),
inference(superposition,[status(thm)],[c_98678,c_100764]) ).
cnf(c_419827,plain,
less_equal(divide(divide(X0,X1),X2),divide(X0,X2)),
inference(demodulation,[status(thm)],[c_419392,c_84,c_86]) ).
cnf(c_420855,plain,
divide(divide(X0,divide(X1,X2)),X1) = divide(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_232086,c_419827]) ).
cnf(c_445915,plain,
( X0 != X1
| less_equal(divide(X0,X2),X1) ),
inference(global_subsumption_just,[status(thm)],[c_48973,c_444,c_3584,c_303426]) ).
cnf(c_446002,plain,
( X0 != X1
| less_equal(X0,X1) ),
inference(resolution,[status(thm)],[c_445915,c_1764]) ).
cnf(c_466210,plain,
( X0 != idQ_idQb
| less_equal(divide(identity,idQb),X0) ),
inference(resolution,[status(thm)],[c_446002,c_471]) ).
cnf(c_520591,plain,
less_equal(idQb_Q__idQ_idQa,divide(idQa_Q__idQ_idQb,idQ_idQa)),
inference(demodulation,[status(thm)],[c_277895,c_420855]) ).
cnf(c_520597,plain,
divide(idQa_Q__idQ_idQb,idQ_idQa) = idQb_Q__idQ_idQa,
inference(superposition,[status(thm)],[c_520591,c_171538]) ).
cnf(c_544424,plain,
less_equal(divide(idQa,idQb_Q__idQ_idQa),divide(idQa,idQb)),
inference(superposition,[status(thm)],[c_311439,c_119]) ).
cnf(c_551999,plain,
less_equal(divide(divide(identity,idQa_Q__idQ_idQb),divide(idQa,idQa_Q__idQ_idQb)),idQ_idQa),
inference(superposition,[status(thm)],[c_338200,c_97520]) ).
cnf(c_632962,plain,
less_equal(divide(idQa,idQb_Q__idQ_idQa),divide(divide(identity,idQa_Q__idQ_idQb),idQ_idQa)),
inference(superposition,[status(thm)],[c_520597,c_101429]) ).
cnf(c_648624,plain,
less_equal(divide(idQa,divide(idQa,idQb)),idQb_Q__idQ_idQa),
inference(superposition,[status(thm)],[c_544424,c_124]) ).
cnf(c_648625,plain,
( ~ less_equal(idQb_Q__idQ_idQa,idQb)
| divide(idQa,idQb) = divide(idQa,idQb_Q__idQ_idQa) ),
inference(superposition,[status(thm)],[c_544424,c_99209]) ).
cnf(c_648631,plain,
divide(idQa,idQb) = divide(idQa,idQb_Q__idQ_idQa),
inference(global_subsumption_just,[status(thm)],[c_648625,c_1986,c_648625]) ).
cnf(c_659363,plain,
less_equal(divide(divide(identity,idQa_Q__idQ_idQb),idQ_idQa),divide(idQa,idQa_Q__idQ_idQb)),
inference(superposition,[status(thm)],[c_551999,c_124]) ).
cnf(c_718363,plain,
( ~ less_equal(X0,idQ_idQb)
| ~ less_equal(idQa_Q__idQ_idQb,idQa_Q__idQ_idQb)
| less_equal(divide(idQa,idQ_idQb),divide(idQa,X0)) ),
inference(resolution,[status(thm)],[c_27539,c_4953]) ).
cnf(c_742088,plain,
less_equal(divide(idQa,idQb),divide(divide(identity,idQa_Q__idQ_idQb),idQ_idQa)),
inference(demodulation,[status(thm)],[c_632962,c_648631]) ).
cnf(c_742093,plain,
( ~ less_equal(divide(divide(identity,idQa_Q__idQ_idQb),idQ_idQa),X0)
| less_equal(divide(idQa,idQb),X0) ),
inference(superposition,[status(thm)],[c_742088,c_53]) ).
cnf(c_862339,plain,
( ~ less_equal(divide(idQa,idQb),X0)
| less_equal(divide(idQa,X0),idQb_Q__idQ_idQa) ),
inference(superposition,[status(thm)],[c_648624,c_99210]) ).
cnf(c_988696,plain,
( ~ less_equal(divide(idQa,idQa_Q__idQ_idQb),X0)
| less_equal(divide(divide(identity,idQa_Q__idQ_idQb),idQ_idQa),X0) ),
inference(superposition,[status(thm)],[c_659363,c_53]) ).
cnf(c_1076525,plain,
X0 != idQ_idQb,
inference(global_subsumption_just,[status(thm)],[c_39267,c_174,c_257,c_258,c_420,c_515,c_1458,c_1769,c_34356,c_58498,c_112844,c_123210,c_184640,c_309955,c_466210,c_520591,c_718363,c_742093,c_862339,c_988696]) ).
cnf(c_1077139,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_99,c_1076525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HEN011-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n019.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 Aug 24 13:37:59 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 285.25/38.37 % SZS status Started for theBenchmark.p
% 285.25/38.37 % SZS status Unsatisfiable for theBenchmark.p
% 285.25/38.37
% 285.25/38.37 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 285.25/38.37
% 285.25/38.37 ------ iProver source info
% 285.25/38.37
% 285.25/38.37 git: date: 2023-05-31 18:12:56 +0000
% 285.25/38.37 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 285.25/38.37 git: non_committed_changes: false
% 285.25/38.37 git: last_make_outside_of_git: false
% 285.25/38.37
% 285.25/38.37 ------ Parsing...successful
% 285.25/38.37
% 285.25/38.37
% 285.25/38.37
% 285.25/38.37 ------ Preprocessing... sf_s rm: 1 0s sf_e
% 285.25/38.37
% 285.25/38.37 ------ Preprocessing...
% 285.25/38.37
% 285.25/38.37 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 285.25/38.37 ------ Proving...
% 285.25/38.37 ------ Problem Properties
% 285.25/38.37
% 285.25/38.37
% 285.25/38.37 clauses 25
% 285.25/38.37 conjectures 1
% 285.25/38.37 EPR 5
% 285.25/38.37 Horn 25
% 285.25/38.37 unary 18
% 285.25/38.37 binary 5
% 285.25/38.37 lits 34
% 285.25/38.37 lits eq 17
% 285.25/38.37 fd_pure 0
% 285.25/38.37 fd_pseudo 0
% 285.25/38.37 fd_cond 0
% 285.25/38.37 fd_pseudo_cond 1
% 285.25/38.37 AC symbols 0
% 285.25/38.37
% 285.25/38.37 ------ Input Options Time Limit: Unbounded
% 285.25/38.37
% 285.25/38.37
% 285.25/38.37 ------
% 285.25/38.37 Current options:
% 285.25/38.37 ------
% 285.25/38.37
% 285.25/38.37
% 285.25/38.37
% 285.25/38.37
% 285.25/38.37 ------ Proving...
% 285.25/38.37
% 285.25/38.37
% 285.25/38.37 % SZS status Unsatisfiable for theBenchmark.p
% 285.25/38.37
% 285.25/38.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 285.25/38.37
% 285.25/38.39
%------------------------------------------------------------------------------