TSTP Solution File: FLD040-3 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : FLD040-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n028.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 : 600s
% DateTime : Sat Jul 16 02:11:19 EDT 2022
% Result : Unsatisfiable 156.42s 156.60s
% Output : CNFRefutation 156.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 47
% Syntax : Number of formulae : 285 ( 40 unt; 0 def)
% Number of atoms : 851 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1114 ( 548 ~; 566 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 769 ( 0 sgn 219 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X1,X2,X3,X7,X8,X9,X10] :
( product(X10,X1,X9)
| ~ sum(X3,X2,X10)
| ~ product(X3,X1,X8)
| ~ product(X2,X1,X7)
| ~ sum(X8,X7,X9) ),
file('<stdin>',distributivity_2) ).
fof(c_0_1,axiom,
! [X1,X2,X3,X7,X8,X9,X10] :
( sum(X8,X7,X9)
| ~ sum(X3,X2,X10)
| ~ product(X10,X1,X9)
| ~ product(X3,X1,X8)
| ~ product(X2,X1,X7) ),
file('<stdin>',distributivity_1) ).
fof(c_0_2,axiom,
! [X1,X2,X3,X4,X5,X6] :
( product(X6,X1,X4)
| ~ product(X3,X2,X6)
| ~ product(X2,X1,X5)
| ~ product(X3,X5,X4) ),
file('<stdin>',associativity_multiplication_2) ).
fof(c_0_3,axiom,
! [X1,X2,X3,X4,X5,X6] :
( product(X3,X5,X4)
| ~ product(X3,X2,X6)
| ~ product(X2,X1,X5)
| ~ product(X6,X1,X4) ),
file('<stdin>',associativity_multiplication_1) ).
fof(c_0_4,axiom,
! [X1,X2,X3,X4,X5,X6] :
( sum(X6,X1,X4)
| ~ sum(X3,X2,X6)
| ~ sum(X2,X1,X5)
| ~ sum(X3,X5,X4) ),
file('<stdin>',associativity_addition_2) ).
fof(c_0_5,axiom,
! [X1,X2,X3,X4,X5,X6] :
( sum(X3,X5,X4)
| ~ sum(X3,X2,X6)
| ~ sum(X2,X1,X5)
| ~ sum(X6,X1,X4) ),
file('<stdin>',associativity_addition_1) ).
fof(c_0_6,axiom,
! [X1,X2,X3,X5,X6] :
( less_or_equal(X6,X5)
| ~ less_or_equal(X3,X2)
| ~ sum(X3,X1,X6)
| ~ sum(X2,X1,X5) ),
file('<stdin>',compatibility_of_order_relation_and_addition) ).
fof(c_0_7,axiom,
! [X1,X2,X3] :
( product(X2,X3,X1)
| ~ product(X3,X2,X1) ),
file('<stdin>',commutativity_multiplication) ).
fof(c_0_8,axiom,
! [X1,X2,X3] :
( sum(X2,X3,X1)
| ~ sum(X3,X2,X1) ),
file('<stdin>',commutativity_addition) ).
fof(c_0_9,axiom,
! [X1,X2,X3] :
( less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X3)
| ~ less_or_equal(additive_identity,X2)
| ~ product(X3,X2,X1) ),
file('<stdin>',compatibility_of_order_relation_and_multiplication) ).
fof(c_0_10,axiom,
! [X3] :
( product(multiplicative_inverse(X3),X3,multiplicative_identity)
| sum(additive_identity,X3,additive_identity)
| ~ defined(X3) ),
file('<stdin>',existence_of_inverse_multiplication) ).
fof(c_0_11,axiom,
! [X2,X3] :
( sum(additive_identity,X3,X2)
| ~ less_or_equal(X3,X2)
| ~ less_or_equal(X2,X3) ),
file('<stdin>',antisymmetry_of_order_relation) ).
fof(c_0_12,axiom,
! [X2,X3] :
( product(X3,X2,multiply(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
file('<stdin>',totality_of_multiplication) ).
fof(c_0_13,axiom,
! [X2,X3] :
( sum(X3,X2,add(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
file('<stdin>',totality_of_addition) ).
fof(c_0_14,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('<stdin>',different_identities) ).
fof(c_0_15,axiom,
! [X3] :
( defined(multiplicative_inverse(X3))
| ~ defined(X3)
| sum(additive_identity,X3,additive_identity) ),
file('<stdin>',well_definedness_of_multiplicative_inverse) ).
fof(c_0_16,axiom,
! [X3] :
( sum(additive_inverse(X3),X3,additive_identity)
| ~ defined(X3) ),
file('<stdin>',existence_of_inverse_addition) ).
fof(c_0_17,axiom,
! [X3] :
( product(multiplicative_identity,X3,X3)
| ~ defined(X3) ),
file('<stdin>',existence_of_identity_multiplication) ).
fof(c_0_18,axiom,
! [X3] :
( sum(additive_identity,X3,X3)
| ~ defined(X3) ),
file('<stdin>',existence_of_identity_addition) ).
fof(c_0_19,axiom,
! [X1,X2,X3] :
( less_or_equal(X3,X1)
| ~ less_or_equal(X3,X2)
| ~ less_or_equal(X2,X1) ),
file('<stdin>',transitivity_of_order_relation) ).
fof(c_0_20,axiom,
! [X2,X3] :
( defined(multiply(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
file('<stdin>',well_definedness_of_multiplication) ).
fof(c_0_21,axiom,
! [X2,X3] :
( defined(add(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
file('<stdin>',well_definedness_of_addition) ).
fof(c_0_22,axiom,
! [X2,X3] :
( less_or_equal(X3,X2)
| less_or_equal(X2,X3)
| ~ defined(X3)
| ~ defined(X2) ),
file('<stdin>',totality_of_order_relation) ).
fof(c_0_23,axiom,
! [X3] :
( defined(additive_inverse(X3))
| ~ defined(X3) ),
file('<stdin>',well_definedness_of_additive_inverse) ).
fof(c_0_24,axiom,
defined(multiplicative_identity),
file('<stdin>',well_definedness_of_multiplicative_identity) ).
fof(c_0_25,axiom,
defined(additive_identity),
file('<stdin>',well_definedness_of_additive_identity) ).
fof(c_0_26,plain,
! [X1,X2,X3,X7,X8,X9,X10] :
( product(X10,X1,X9)
| ~ sum(X3,X2,X10)
| ~ product(X3,X1,X8)
| ~ product(X2,X1,X7)
| ~ sum(X8,X7,X9) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_27,plain,
! [X1,X2,X3,X7,X8,X9,X10] :
( sum(X8,X7,X9)
| ~ sum(X3,X2,X10)
| ~ product(X10,X1,X9)
| ~ product(X3,X1,X8)
| ~ product(X2,X1,X7) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_28,plain,
! [X1,X2,X3,X4,X5,X6] :
( product(X6,X1,X4)
| ~ product(X3,X2,X6)
| ~ product(X2,X1,X5)
| ~ product(X3,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_29,plain,
! [X1,X2,X3,X4,X5,X6] :
( product(X3,X5,X4)
| ~ product(X3,X2,X6)
| ~ product(X2,X1,X5)
| ~ product(X6,X1,X4) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_30,plain,
! [X1,X2,X3,X4,X5,X6] :
( sum(X6,X1,X4)
| ~ sum(X3,X2,X6)
| ~ sum(X2,X1,X5)
| ~ sum(X3,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_31,plain,
! [X1,X2,X3,X4,X5,X6] :
( sum(X3,X5,X4)
| ~ sum(X3,X2,X6)
| ~ sum(X2,X1,X5)
| ~ sum(X6,X1,X4) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_32,plain,
! [X1,X2,X3,X5,X6] :
( less_or_equal(X6,X5)
| ~ less_or_equal(X3,X2)
| ~ sum(X3,X1,X6)
| ~ sum(X2,X1,X5) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_33,plain,
! [X1,X2,X3] :
( product(X2,X3,X1)
| ~ product(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_34,plain,
! [X1,X2,X3] :
( sum(X2,X3,X1)
| ~ sum(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_35,plain,
! [X1,X2,X3] :
( less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X3)
| ~ less_or_equal(additive_identity,X2)
| ~ product(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_36,plain,
! [X3] :
( product(multiplicative_inverse(X3),X3,multiplicative_identity)
| sum(additive_identity,X3,additive_identity)
| ~ defined(X3) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_37,plain,
! [X2,X3] :
( sum(additive_identity,X3,X2)
| ~ less_or_equal(X3,X2)
| ~ less_or_equal(X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_38,plain,
! [X2,X3] :
( product(X3,X2,multiply(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_39,plain,
! [X2,X3] :
( sum(X3,X2,add(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_40,plain,
~ sum(additive_identity,additive_identity,multiplicative_identity),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_41,plain,
! [X3] :
( defined(multiplicative_inverse(X3))
| ~ defined(X3)
| sum(additive_identity,X3,additive_identity) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_42,plain,
! [X3] :
( sum(additive_inverse(X3),X3,additive_identity)
| ~ defined(X3) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_43,plain,
! [X3] :
( product(multiplicative_identity,X3,X3)
| ~ defined(X3) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_44,plain,
! [X3] :
( sum(additive_identity,X3,X3)
| ~ defined(X3) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_45,plain,
! [X1,X2,X3] :
( less_or_equal(X3,X1)
| ~ less_or_equal(X3,X2)
| ~ less_or_equal(X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_46,plain,
! [X2,X3] :
( defined(multiply(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_47,plain,
! [X2,X3] :
( defined(add(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_48,plain,
! [X2,X3] :
( less_or_equal(X3,X2)
| less_or_equal(X2,X3)
| ~ defined(X3)
| ~ defined(X2) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_49,plain,
! [X3] :
( defined(additive_inverse(X3))
| ~ defined(X3) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_50,axiom,
defined(multiplicative_identity),
c_0_24 ).
fof(c_0_51,axiom,
defined(additive_identity),
c_0_25 ).
fof(c_0_52,plain,
! [X11,X12,X13,X14,X15,X16,X17] :
( product(X17,X11,X16)
| ~ sum(X13,X12,X17)
| ~ product(X13,X11,X15)
| ~ product(X12,X11,X14)
| ~ sum(X15,X14,X16) ),
inference(variable_rename,[status(thm)],[c_0_26]) ).
fof(c_0_53,plain,
! [X11,X12,X13,X14,X15,X16,X17] :
( sum(X15,X14,X16)
| ~ sum(X13,X12,X17)
| ~ product(X17,X11,X16)
| ~ product(X13,X11,X15)
| ~ product(X12,X11,X14) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_27])])]) ).
fof(c_0_54,plain,
! [X7,X8,X9,X10,X11,X12] :
( product(X12,X7,X10)
| ~ product(X9,X8,X12)
| ~ product(X8,X7,X11)
| ~ product(X9,X11,X10) ),
inference(variable_rename,[status(thm)],[c_0_28]) ).
fof(c_0_55,plain,
! [X7,X8,X9,X10,X11,X12] :
( product(X9,X11,X10)
| ~ product(X9,X8,X12)
| ~ product(X8,X7,X11)
| ~ product(X12,X7,X10) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_29])])]) ).
fof(c_0_56,plain,
! [X7,X8,X9,X10,X11,X12] :
( sum(X12,X7,X10)
| ~ sum(X9,X8,X12)
| ~ sum(X8,X7,X11)
| ~ sum(X9,X11,X10) ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
fof(c_0_57,plain,
! [X7,X8,X9,X10,X11,X12] :
( sum(X9,X11,X10)
| ~ sum(X9,X8,X12)
| ~ sum(X8,X7,X11)
| ~ sum(X12,X7,X10) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_31])])]) ).
fof(c_0_58,plain,
! [X7,X8,X9,X10,X11] :
( less_or_equal(X11,X10)
| ~ less_or_equal(X9,X8)
| ~ sum(X9,X7,X11)
| ~ sum(X8,X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_32]) ).
fof(c_0_59,plain,
! [X4,X5,X6] :
( product(X5,X6,X4)
| ~ product(X6,X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_33]) ).
fof(c_0_60,plain,
! [X4,X5,X6] :
( sum(X5,X6,X4)
| ~ sum(X6,X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_34]) ).
fof(c_0_61,plain,
! [X4,X5,X6] :
( less_or_equal(additive_identity,X4)
| ~ less_or_equal(additive_identity,X6)
| ~ less_or_equal(additive_identity,X5)
| ~ product(X6,X5,X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_35])])]) ).
fof(c_0_62,plain,
! [X4] :
( product(multiplicative_inverse(X4),X4,multiplicative_identity)
| sum(additive_identity,X4,additive_identity)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_63,plain,
! [X4,X5] :
( sum(additive_identity,X5,X4)
| ~ less_or_equal(X5,X4)
| ~ less_or_equal(X4,X5) ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_64,plain,
! [X4,X5] :
( product(X5,X4,multiply(X5,X4))
| ~ defined(X5)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_38]) ).
fof(c_0_65,plain,
! [X4,X5] :
( sum(X5,X4,add(X5,X4))
| ~ defined(X5)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_39]) ).
fof(c_0_66,plain,
~ sum(additive_identity,additive_identity,multiplicative_identity),
c_0_40 ).
fof(c_0_67,plain,
! [X4] :
( defined(multiplicative_inverse(X4))
| ~ defined(X4)
| sum(additive_identity,X4,additive_identity) ),
inference(variable_rename,[status(thm)],[c_0_41]) ).
fof(c_0_68,plain,
! [X4] :
( sum(additive_inverse(X4),X4,additive_identity)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_42]) ).
fof(c_0_69,plain,
! [X4] :
( product(multiplicative_identity,X4,X4)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_70,plain,
! [X4] :
( sum(additive_identity,X4,X4)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_44]) ).
fof(c_0_71,plain,
! [X4,X5,X6] :
( less_or_equal(X6,X4)
| ~ less_or_equal(X6,X5)
| ~ less_or_equal(X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_45]) ).
fof(c_0_72,plain,
! [X4,X5] :
( defined(multiply(X5,X4))
| ~ defined(X5)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_46]) ).
fof(c_0_73,plain,
! [X4,X5] :
( defined(add(X5,X4))
| ~ defined(X5)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
fof(c_0_74,plain,
! [X4,X5] :
( less_or_equal(X5,X4)
| less_or_equal(X4,X5)
| ~ defined(X5)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_48]) ).
fof(c_0_75,plain,
! [X4] :
( defined(additive_inverse(X4))
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_49]) ).
fof(c_0_76,axiom,
defined(multiplicative_identity),
c_0_50 ).
fof(c_0_77,axiom,
defined(additive_identity),
c_0_51 ).
cnf(c_0_78,plain,
( product(X7,X5,X3)
| ~ sum(X1,X2,X3)
| ~ product(X4,X5,X2)
| ~ product(X6,X5,X1)
| ~ sum(X6,X4,X7) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_79,plain,
( sum(X5,X3,X7)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X5)
| ~ product(X6,X2,X7)
| ~ sum(X4,X1,X6) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_80,plain,
( product(X6,X5,X3)
| ~ product(X1,X2,X3)
| ~ product(X4,X5,X2)
| ~ product(X1,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_81,plain,
( product(X6,X5,X3)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X5)
| ~ product(X6,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_82,plain,
( sum(X6,X5,X3)
| ~ sum(X1,X2,X3)
| ~ sum(X4,X5,X2)
| ~ sum(X1,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_83,plain,
( sum(X6,X5,X3)
| ~ sum(X1,X2,X3)
| ~ sum(X4,X2,X5)
| ~ sum(X6,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_84,plain,
( less_or_equal(X5,X3)
| ~ sum(X1,X2,X3)
| ~ sum(X4,X2,X5)
| ~ less_or_equal(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_85,plain,
( product(X2,X1,X3)
| ~ product(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_86,plain,
( sum(X2,X1,X3)
| ~ sum(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_87,plain,
( less_or_equal(additive_identity,X3)
| ~ product(X1,X2,X3)
| ~ less_or_equal(additive_identity,X2)
| ~ less_or_equal(additive_identity,X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_88,plain,
( sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X1,multiplicative_identity)
| ~ defined(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_89,plain,
( sum(additive_identity,X2,X1)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_90,plain,
( product(X2,X1,multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_91,plain,
( sum(X2,X1,add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_92,plain,
~ sum(additive_identity,additive_identity,multiplicative_identity),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_93,plain,
( sum(additive_identity,X1,additive_identity)
| defined(multiplicative_inverse(X1))
| ~ defined(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_94,plain,
( sum(additive_inverse(X1),X1,additive_identity)
| ~ defined(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_95,plain,
( product(multiplicative_identity,X1,X1)
| ~ defined(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_96,plain,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_97,plain,
( less_or_equal(X3,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_98,plain,
( defined(multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_99,plain,
( defined(add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_100,plain,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_101,plain,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_102,plain,
defined(multiplicative_identity),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_103,plain,
defined(additive_identity),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_104,plain,
( product(X7,X5,X3)
| ~ sum(X1,X2,X3)
| ~ product(X4,X5,X2)
| ~ product(X6,X5,X1)
| ~ sum(X6,X4,X7) ),
c_0_78,
[final] ).
cnf(c_0_105,plain,
( sum(X5,X3,X7)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X5)
| ~ product(X6,X2,X7)
| ~ sum(X4,X1,X6) ),
c_0_79,
[final] ).
cnf(c_0_106,plain,
( product(X6,X5,X3)
| ~ product(X1,X2,X3)
| ~ product(X4,X5,X2)
| ~ product(X1,X4,X6) ),
c_0_80,
[final] ).
cnf(c_0_107,plain,
( product(X6,X5,X3)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X5)
| ~ product(X6,X4,X1) ),
c_0_81,
[final] ).
cnf(c_0_108,plain,
( sum(X6,X5,X3)
| ~ sum(X1,X2,X3)
| ~ sum(X4,X5,X2)
| ~ sum(X1,X4,X6) ),
c_0_82,
[final] ).
cnf(c_0_109,plain,
( sum(X6,X5,X3)
| ~ sum(X1,X2,X3)
| ~ sum(X4,X2,X5)
| ~ sum(X6,X4,X1) ),
c_0_83,
[final] ).
cnf(c_0_110,plain,
( less_or_equal(X5,X3)
| ~ sum(X1,X2,X3)
| ~ sum(X4,X2,X5)
| ~ less_or_equal(X4,X1) ),
c_0_84,
[final] ).
cnf(c_0_111,plain,
( product(X2,X1,X3)
| ~ product(X1,X2,X3) ),
c_0_85,
[final] ).
cnf(c_0_112,plain,
( sum(X2,X1,X3)
| ~ sum(X1,X2,X3) ),
c_0_86,
[final] ).
cnf(c_0_113,plain,
( less_or_equal(additive_identity,X3)
| ~ product(X1,X2,X3)
| ~ less_or_equal(additive_identity,X2)
| ~ less_or_equal(additive_identity,X1) ),
c_0_87,
[final] ).
cnf(c_0_114,plain,
( sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X1,multiplicative_identity)
| ~ defined(X1) ),
c_0_88,
[final] ).
cnf(c_0_115,plain,
( sum(additive_identity,X2,X1)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1) ),
c_0_89,
[final] ).
cnf(c_0_116,plain,
( product(X2,X1,multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
c_0_90,
[final] ).
cnf(c_0_117,plain,
( sum(X2,X1,add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
c_0_91,
[final] ).
cnf(c_0_118,plain,
~ sum(additive_identity,additive_identity,multiplicative_identity),
c_0_92,
[final] ).
cnf(c_0_119,plain,
( sum(additive_identity,X1,additive_identity)
| defined(multiplicative_inverse(X1))
| ~ defined(X1) ),
c_0_93,
[final] ).
cnf(c_0_120,plain,
( sum(additive_inverse(X1),X1,additive_identity)
| ~ defined(X1) ),
c_0_94,
[final] ).
cnf(c_0_121,plain,
( product(multiplicative_identity,X1,X1)
| ~ defined(X1) ),
c_0_95,
[final] ).
cnf(c_0_122,plain,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
c_0_96,
[final] ).
cnf(c_0_123,plain,
( less_or_equal(X3,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X3,X1) ),
c_0_97,
[final] ).
cnf(c_0_124,plain,
( defined(multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
c_0_98,
[final] ).
cnf(c_0_125,plain,
( defined(add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
c_0_99,
[final] ).
cnf(c_0_126,plain,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
c_0_100,
[final] ).
cnf(c_0_127,plain,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
c_0_101,
[final] ).
cnf(c_0_128,plain,
defined(multiplicative_identity),
c_0_102,
[final] ).
cnf(c_0_129,plain,
defined(additive_identity),
c_0_103,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_104_0,axiom,
( product(X7,X5,X3)
| ~ sum(X1,X2,X3)
| ~ product(X4,X5,X2)
| ~ product(X6,X5,X1)
| ~ sum(X6,X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_1,axiom,
( ~ sum(X1,X2,X3)
| product(X7,X5,X3)
| ~ product(X4,X5,X2)
| ~ product(X6,X5,X1)
| ~ sum(X6,X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_2,axiom,
( ~ product(X4,X5,X2)
| ~ sum(X1,X2,X3)
| product(X7,X5,X3)
| ~ product(X6,X5,X1)
| ~ sum(X6,X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_3,axiom,
( ~ product(X6,X5,X1)
| ~ product(X4,X5,X2)
| ~ sum(X1,X2,X3)
| product(X7,X5,X3)
| ~ sum(X6,X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_4,axiom,
( ~ sum(X6,X4,X7)
| ~ product(X6,X5,X1)
| ~ product(X4,X5,X2)
| ~ sum(X1,X2,X3)
| product(X7,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_105_0,axiom,
( sum(X5,X3,X7)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X5)
| ~ product(X6,X2,X7)
| ~ sum(X4,X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_1,axiom,
( ~ product(X1,X2,X3)
| sum(X5,X3,X7)
| ~ product(X4,X2,X5)
| ~ product(X6,X2,X7)
| ~ sum(X4,X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_2,axiom,
( ~ product(X4,X2,X5)
| ~ product(X1,X2,X3)
| sum(X5,X3,X7)
| ~ product(X6,X2,X7)
| ~ sum(X4,X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_3,axiom,
( ~ product(X6,X2,X7)
| ~ product(X4,X2,X5)
| ~ product(X1,X2,X3)
| sum(X5,X3,X7)
| ~ sum(X4,X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_4,axiom,
( ~ sum(X4,X1,X6)
| ~ product(X6,X2,X7)
| ~ product(X4,X2,X5)
| ~ product(X1,X2,X3)
| sum(X5,X3,X7) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_106_0,axiom,
( product(X6,X5,X3)
| ~ product(X1,X2,X3)
| ~ product(X4,X5,X2)
| ~ product(X1,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_1,axiom,
( ~ product(X1,X2,X3)
| product(X6,X5,X3)
| ~ product(X4,X5,X2)
| ~ product(X1,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_2,axiom,
( ~ product(X4,X5,X2)
| ~ product(X1,X2,X3)
| product(X6,X5,X3)
| ~ product(X1,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_3,axiom,
( ~ product(X1,X4,X6)
| ~ product(X4,X5,X2)
| ~ product(X1,X2,X3)
| product(X6,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_107_0,axiom,
( product(X6,X5,X3)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X5)
| ~ product(X6,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_1,axiom,
( ~ product(X1,X2,X3)
| product(X6,X5,X3)
| ~ product(X4,X2,X5)
| ~ product(X6,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_2,axiom,
( ~ product(X4,X2,X5)
| ~ product(X1,X2,X3)
| product(X6,X5,X3)
| ~ product(X6,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_3,axiom,
( ~ product(X6,X4,X1)
| ~ product(X4,X2,X5)
| ~ product(X1,X2,X3)
| product(X6,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_108_0,axiom,
( sum(X6,X5,X3)
| ~ sum(X1,X2,X3)
| ~ sum(X4,X5,X2)
| ~ sum(X1,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_1,axiom,
( ~ sum(X1,X2,X3)
| sum(X6,X5,X3)
| ~ sum(X4,X5,X2)
| ~ sum(X1,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_2,axiom,
( ~ sum(X4,X5,X2)
| ~ sum(X1,X2,X3)
| sum(X6,X5,X3)
| ~ sum(X1,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_3,axiom,
( ~ sum(X1,X4,X6)
| ~ sum(X4,X5,X2)
| ~ sum(X1,X2,X3)
| sum(X6,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_109_0,axiom,
( sum(X6,X5,X3)
| ~ sum(X1,X2,X3)
| ~ sum(X4,X2,X5)
| ~ sum(X6,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_1,axiom,
( ~ sum(X1,X2,X3)
| sum(X6,X5,X3)
| ~ sum(X4,X2,X5)
| ~ sum(X6,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_2,axiom,
( ~ sum(X4,X2,X5)
| ~ sum(X1,X2,X3)
| sum(X6,X5,X3)
| ~ sum(X6,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_3,axiom,
( ~ sum(X6,X4,X1)
| ~ sum(X4,X2,X5)
| ~ sum(X1,X2,X3)
| sum(X6,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_110_0,axiom,
( less_or_equal(X5,X3)
| ~ sum(X1,X2,X3)
| ~ sum(X4,X2,X5)
| ~ less_or_equal(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_1,axiom,
( ~ sum(X1,X2,X3)
| less_or_equal(X5,X3)
| ~ sum(X4,X2,X5)
| ~ less_or_equal(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_2,axiom,
( ~ sum(X4,X2,X5)
| ~ sum(X1,X2,X3)
| less_or_equal(X5,X3)
| ~ less_or_equal(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_3,axiom,
( ~ less_or_equal(X4,X1)
| ~ sum(X4,X2,X5)
| ~ sum(X1,X2,X3)
| less_or_equal(X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_111_0,axiom,
( product(X2,X1,X3)
| ~ product(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_1,axiom,
( ~ product(X1,X2,X3)
| product(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_0,axiom,
( sum(X2,X1,X3)
| ~ sum(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_1,axiom,
( ~ sum(X1,X2,X3)
| sum(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_0,axiom,
( less_or_equal(additive_identity,X3)
| ~ product(X1,X2,X3)
| ~ less_or_equal(additive_identity,X2)
| ~ less_or_equal(additive_identity,X1) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_1,axiom,
( ~ product(X1,X2,X3)
| less_or_equal(additive_identity,X3)
| ~ less_or_equal(additive_identity,X2)
| ~ less_or_equal(additive_identity,X1) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_2,axiom,
( ~ less_or_equal(additive_identity,X2)
| ~ product(X1,X2,X3)
| less_or_equal(additive_identity,X3)
| ~ less_or_equal(additive_identity,X1) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_3,axiom,
( ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X2)
| ~ product(X1,X2,X3)
| less_or_equal(additive_identity,X3) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_114_0,axiom,
( sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X1,multiplicative_identity)
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_1,axiom,
( product(multiplicative_inverse(X1),X1,multiplicative_identity)
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_2,axiom,
( ~ defined(X1)
| product(multiplicative_inverse(X1),X1,multiplicative_identity)
| sum(additive_identity,X1,additive_identity) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_115_0,axiom,
( sum(additive_identity,X2,X1)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_1,axiom,
( ~ less_or_equal(X1,X2)
| sum(additive_identity,X2,X1)
| ~ less_or_equal(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_115_2,axiom,
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2)
| sum(additive_identity,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_116_0,axiom,
( product(X2,X1,multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_1,axiom,
( ~ defined(X1)
| product(X2,X1,multiply(X2,X1))
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_2,axiom,
( ~ defined(X2)
| ~ defined(X1)
| product(X2,X1,multiply(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_117_0,axiom,
( sum(X2,X1,add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_1,axiom,
( ~ defined(X1)
| sum(X2,X1,add(X2,X1))
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_2,axiom,
( ~ defined(X2)
| ~ defined(X1)
| sum(X2,X1,add(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_119_0,axiom,
( sum(additive_identity,X1,additive_identity)
| defined(multiplicative_inverse(X1))
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_1,axiom,
( defined(multiplicative_inverse(X1))
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_119_2,axiom,
( ~ defined(X1)
| defined(multiplicative_inverse(X1))
| sum(additive_identity,X1,additive_identity) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_120_0,axiom,
( sum(additive_inverse(X1),X1,additive_identity)
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_120_1,axiom,
( ~ defined(X1)
| sum(additive_inverse(X1),X1,additive_identity) ),
inference(literals_permutation,[status(thm)],[c_0_120]) ).
cnf(c_0_121_0,axiom,
( product(multiplicative_identity,X1,X1)
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_1,axiom,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_122_0,axiom,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_1,axiom,
( ~ defined(X1)
| sum(additive_identity,X1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_123_0,axiom,
( less_or_equal(X3,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_1,axiom,
( ~ less_or_equal(X1,X2)
| less_or_equal(X3,X2)
| ~ less_or_equal(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_2,axiom,
( ~ less_or_equal(X3,X1)
| ~ less_or_equal(X1,X2)
| less_or_equal(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_124_0,axiom,
( defined(multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_1,axiom,
( ~ defined(X1)
| defined(multiply(X2,X1))
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_2,axiom,
( ~ defined(X2)
| ~ defined(X1)
| defined(multiply(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_125_0,axiom,
( defined(add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_1,axiom,
( ~ defined(X1)
| defined(add(X2,X1))
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_2,axiom,
( ~ defined(X2)
| ~ defined(X1)
| defined(add(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_126_0,axiom,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_1,axiom,
( less_or_equal(X2,X1)
| less_or_equal(X1,X2)
| ~ defined(X1)
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_2,axiom,
( ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2)
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_3,axiom,
( ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_127_0,axiom,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_1,axiom,
( ~ defined(X1)
| defined(additive_inverse(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_118_0,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_128_0,axiom,
defined(multiplicative_identity),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_129_0,axiom,
defined(additive_identity),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('<stdin>',not_sum_2) ).
fof(c_0_1_002,negated_conjecture,
sum(additive_identity,additive_identity,multiplicative_inverse(a)),
file('<stdin>',sum_3) ).
fof(c_0_2_003,hypothesis,
defined(a),
file('<stdin>',a_is_defined) ).
fof(c_0_3_004,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_4_005,negated_conjecture,
sum(additive_identity,additive_identity,multiplicative_inverse(a)),
c_0_1 ).
fof(c_0_5_006,hypothesis,
defined(a),
c_0_2 ).
fof(c_0_6_007,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
c_0_3 ).
fof(c_0_7_008,negated_conjecture,
sum(additive_identity,additive_identity,multiplicative_inverse(a)),
c_0_4 ).
fof(c_0_8_009,hypothesis,
defined(a),
c_0_5 ).
cnf(c_0_9_010,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10_011,negated_conjecture,
sum(additive_identity,additive_identity,multiplicative_inverse(a)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11_012,hypothesis,
defined(a),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12_013,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
c_0_9,
[final] ).
cnf(c_0_13_014,negated_conjecture,
sum(additive_identity,additive_identity,multiplicative_inverse(a)),
c_0_10,
[final] ).
cnf(c_0_14_015,hypothesis,
defined(a),
c_0_11,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_58,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X4,X5)
| sum(X2,X3,X5) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_108_0) ).
cnf(c_168,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X4,X5)
| sum(X2,X3,X5) ),
inference(copy,[status(esa)],[c_58]) ).
cnf(c_25468,plain,
( ~ sum(X0,multiplicative_identity,X1)
| sum(X2,multiplicative_identity,X3)
| ~ sum(X4,X0,X2)
| ~ sum(X4,X1,X3) ),
inference(instantiation,[status(thm)],[c_168]) ).
cnf(c_91172,plain,
( ~ sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| sum(X0,multiplicative_identity,X1)
| ~ sum(X2,multiplicative_identity,X0)
| ~ sum(X2,multiplicative_identity,X1) ),
inference(instantiation,[status(thm)],[c_25468]) ).
cnf(c_126572,plain,
( sum(additive_identity,multiplicative_identity,X0)
| ~ sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| ~ sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity)
| ~ sum(additive_inverse(multiplicative_identity),multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_91172]) ).
cnf(c_126573,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| ~ sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| ~ sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_126572]) ).
cnf(c_71,plain,
( ~ sum(X0,X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X0,X3,X5)
| ~ product(X1,X3,X6)
| sum(X5,X6,X4) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_105_0) ).
cnf(c_181,plain,
( ~ sum(X0,X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X0,X3,X5)
| ~ product(X1,X3,X6)
| sum(X5,X6,X4) ),
inference(copy,[status(esa)],[c_71]) ).
cnf(c_25428,plain,
( sum(multiplicative_identity,X0,X1)
| ~ sum(X2,X3,X4)
| ~ product(X2,X5,multiplicative_identity)
| ~ product(X4,X5,X1)
| ~ product(X3,X5,X0) ),
inference(instantiation,[status(thm)],[c_181]) ).
cnf(c_59349,plain,
( sum(multiplicative_identity,X0,X1)
| ~ sum(multiplicative_inverse(a),X2,X3)
| ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(X3,a,X1)
| ~ product(X2,a,X0) ),
inference(instantiation,[status(thm)],[c_25428]) ).
cnf(c_60314,plain,
( sum(multiplicative_identity,X0,multiplicative_identity)
| ~ sum(multiplicative_inverse(a),X1,multiplicative_inverse(a))
| ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(X1,a,X0) ),
inference(instantiation,[status(thm)],[c_59349]) ).
cnf(c_91170,plain,
( sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| ~ sum(multiplicative_inverse(a),X0,multiplicative_inverse(a))
| ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(X0,a,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_60314]) ).
cnf(c_91179,plain,
( sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| ~ sum(multiplicative_inverse(a),additive_identity,multiplicative_inverse(a))
| ~ product(additive_identity,a,multiplicative_identity)
| ~ product(multiplicative_inverse(a),a,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_91170]) ).
cnf(c_72,plain,
( product(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ product(X5,X1,X4)
| ~ product(X6,X1,X3)
| ~ sum(X6,X5,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_104_4) ).
cnf(c_182,plain,
( product(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ product(X5,X1,X4)
| ~ product(X6,X1,X3)
| ~ sum(X6,X5,X0) ),
inference(copy,[status(esa)],[c_72]) ).
cnf(c_57582,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| product(X5,multiplicative_identity,X2)
| ~ product(X4,multiplicative_identity,X1)
| ~ product(X3,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_182]) ).
cnf(c_88171,plain,
( ~ sum(X0,X1,multiplicative_inverse(a))
| ~ sum(X2,X3,X4)
| product(X4,multiplicative_identity,multiplicative_inverse(a))
| ~ product(X3,multiplicative_identity,X1)
| ~ product(X2,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_57582]) ).
cnf(c_88173,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(additive_identity,additive_identity,multiplicative_inverse(a))
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(additive_identity,multiplicative_identity,multiplicative_inverse(a)) ),
inference(instantiation,[status(thm)],[c_88171]) ).
cnf(c_43,plain,
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_112_1) ).
cnf(c_153,plain,
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
inference(copy,[status(esa)],[c_43]) ).
cnf(c_57683,plain,
( sum(multiplicative_inverse(a),X0,X1)
| ~ sum(X0,multiplicative_inverse(a),X1) ),
inference(instantiation,[status(thm)],[c_153]) ).
cnf(c_61314,plain,
( sum(multiplicative_inverse(a),X0,multiplicative_inverse(a))
| ~ sum(X0,multiplicative_inverse(a),multiplicative_inverse(a)) ),
inference(instantiation,[status(thm)],[c_57683]) ).
cnf(c_61315,plain,
( ~ sum(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a))
| sum(multiplicative_inverse(a),additive_identity,multiplicative_inverse(a)) ),
inference(instantiation,[status(thm)],[c_61314]) ).
cnf(c_19,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_122_0) ).
cnf(c_129,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(copy,[status(esa)],[c_19]) ).
cnf(c_56708,plain,
( ~ defined(multiplicative_inverse(a))
| sum(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a)) ),
inference(instantiation,[status(thm)],[c_129]) ).
cnf(c_59,plain,
( product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X4,X1)
| ~ product(X0,X5,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_107_3) ).
cnf(c_169,plain,
( product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X4,X1)
| ~ product(X0,X5,X3) ),
inference(copy,[status(esa)],[c_59]) ).
cnf(c_24913,plain,
( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(X0,a,X1)
| product(X2,X1,multiplicative_identity)
| ~ product(X2,X0,multiplicative_inverse(a)) ),
inference(instantiation,[status(thm)],[c_169]) ).
cnf(c_25342,plain,
( ~ product(multiplicative_identity,a,X0)
| ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(X1,multiplicative_identity,multiplicative_inverse(a))
| product(X1,X0,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_24913]) ).
cnf(c_26257,plain,
( ~ product(multiplicative_identity,a,a)
| ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(X0,multiplicative_identity,multiplicative_inverse(a))
| product(X0,a,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_25342]) ).
cnf(c_26258,plain,
( ~ product(additive_identity,multiplicative_identity,multiplicative_inverse(a))
| product(additive_identity,a,multiplicative_identity)
| ~ product(multiplicative_identity,a,a)
| ~ product(multiplicative_inverse(a),a,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_26257]) ).
cnf(c_51,plain,
( sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X4,X1)
| ~ sum(X0,X5,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_109_3) ).
cnf(c_161,plain,
( sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X4,X1)
| ~ sum(X0,X5,X3) ),
inference(copy,[status(esa)],[c_51]) ).
cnf(c_24841,plain,
( sum(additive_identity,additive_identity,multiplicative_identity)
| ~ sum(additive_identity,X0,X1)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X1,X2,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_161]) ).
cnf(c_26135,plain,
( sum(additive_identity,additive_identity,multiplicative_identity)
| ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
| ~ sum(additive_identity,X0,additive_identity)
| ~ sum(X0,multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_24841]) ).
cnf(c_26136,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| sum(additive_identity,additive_identity,multiplicative_identity)
| ~ sum(additive_identity,multiplicative_identity,additive_identity)
| ~ sum(additive_identity,multiplicative_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_26135]) ).
cnf(c_23,plain,
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_120_0) ).
cnf(c_133,plain,
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
inference(copy,[status(esa)],[c_23]) ).
cnf(c_25437,plain,
( ~ defined(multiplicative_identity)
| sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_133]) ).
cnf(c_25433,plain,
( ~ defined(multiplicative_identity)
| sum(additive_identity,multiplicative_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_129]) ).
cnf(c_21,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_121_0) ).
cnf(c_131,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
inference(copy,[status(esa)],[c_21]) ).
cnf(c_25076,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(instantiation,[status(thm)],[c_131]) ).
cnf(c_45,plain,
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_111_1) ).
cnf(c_155,plain,
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
inference(copy,[status(esa)],[c_45]) ).
cnf(c_24875,plain,
( ~ product(multiplicative_identity,X0,X0)
| product(X0,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_24876,plain,
( product(additive_identity,multiplicative_identity,additive_identity)
| ~ product(multiplicative_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_24875]) ).
cnf(c_36,plain,
( sum(additive_identity,X0,additive_identity)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_114_2) ).
cnf(c_146,plain,
( sum(additive_identity,X0,additive_identity)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| ~ defined(X0) ),
inference(copy,[status(esa)],[c_36]) ).
cnf(c_24828,plain,
( ~ defined(a)
| sum(additive_identity,a,additive_identity)
| product(multiplicative_inverse(a),a,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_146]) ).
cnf(c_24,plain,
( sum(additive_identity,X0,additive_identity)
| defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_119_2) ).
cnf(c_134,plain,
( sum(additive_identity,X0,additive_identity)
| defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
inference(copy,[status(esa)],[c_24]) ).
cnf(c_24825,plain,
( defined(multiplicative_inverse(a))
| ~ defined(a)
| sum(additive_identity,a,additive_identity) ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_0,plain,
defined(additive_identity),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_129_0) ).
cnf(c_1,plain,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_128_0) ).
cnf(c_2,plain,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_118_0) ).
cnf(c_87,plain,
( ~ defined(additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_19]) ).
cnf(c_86,plain,
( ~ defined(additive_identity)
| product(multiplicative_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_21]) ).
cnf(c_79,plain,
defined(a),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_14) ).
cnf(c_77,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_12) ).
cnf(c_78,negated_conjecture,
sum(additive_identity,additive_identity,multiplicative_inverse(a)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p',c_0_13) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_126573,c_91179,c_88173,c_61315,c_56708,c_26258,c_26136,c_25437,c_25433,c_25076,c_24876,c_24828,c_24825,c_0,c_1,c_2,c_87,c_86,c_79,c_77,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : FLD040-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14 % Command : iprover_modulo %s %d
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jun 6 13:06:29 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running in mono-core mode
% 0.21/0.43 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.43 % Orientation found
% 0.21/0.43 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_a511a2.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_9f2846 | grep -v "SZS"
% 0.21/0.46
% 0.21/0.46 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.46
% 0.21/0.46 %
% 0.21/0.46 % ------ iProver source info
% 0.21/0.46
% 0.21/0.46 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.46 % git: non_committed_changes: true
% 0.21/0.46 % git: last_make_outside_of_git: true
% 0.21/0.46
% 0.21/0.46 %
% 0.21/0.46 % ------ Input Options
% 0.21/0.46
% 0.21/0.46 % --out_options all
% 0.21/0.46 % --tptp_safe_out true
% 0.21/0.46 % --problem_path ""
% 0.21/0.46 % --include_path ""
% 0.21/0.46 % --clausifier .//eprover
% 0.21/0.46 % --clausifier_options --tstp-format
% 0.21/0.46 % --stdin false
% 0.21/0.46 % --dbg_backtrace false
% 0.21/0.46 % --dbg_dump_prop_clauses false
% 0.21/0.46 % --dbg_dump_prop_clauses_file -
% 0.21/0.46 % --dbg_out_stat false
% 0.21/0.46
% 0.21/0.46 % ------ General Options
% 0.21/0.46
% 0.21/0.46 % --fof false
% 0.21/0.46 % --time_out_real 150.
% 0.21/0.46 % --time_out_prep_mult 0.2
% 0.21/0.46 % --time_out_virtual -1.
% 0.21/0.46 % --schedule none
% 0.21/0.46 % --ground_splitting input
% 0.21/0.46 % --splitting_nvd 16
% 0.21/0.46 % --non_eq_to_eq false
% 0.21/0.46 % --prep_gs_sim true
% 0.21/0.46 % --prep_unflatten false
% 0.21/0.46 % --prep_res_sim true
% 0.21/0.46 % --prep_upred true
% 0.21/0.46 % --res_sim_input true
% 0.21/0.46 % --clause_weak_htbl true
% 0.21/0.46 % --gc_record_bc_elim false
% 0.21/0.46 % --symbol_type_check false
% 0.21/0.46 % --clausify_out false
% 0.21/0.46 % --large_theory_mode false
% 0.21/0.46 % --prep_sem_filter none
% 0.21/0.46 % --prep_sem_filter_out false
% 0.21/0.46 % --preprocessed_out false
% 0.21/0.46 % --sub_typing false
% 0.21/0.46 % --brand_transform false
% 0.21/0.46 % --pure_diseq_elim true
% 0.21/0.46 % --min_unsat_core false
% 0.21/0.46 % --pred_elim true
% 0.21/0.46 % --add_important_lit false
% 0.21/0.46 % --soft_assumptions false
% 0.21/0.46 % --reset_solvers false
% 0.21/0.46 % --bc_imp_inh []
% 0.21/0.46 % --conj_cone_tolerance 1.5
% 0.21/0.46 % --prolific_symb_bound 500
% 0.21/0.46 % --lt_threshold 2000
% 0.21/0.46
% 0.21/0.46 % ------ SAT Options
% 0.21/0.46
% 0.21/0.46 % --sat_mode false
% 0.21/0.46 % --sat_fm_restart_options ""
% 0.21/0.46 % --sat_gr_def false
% 0.21/0.46 % --sat_epr_types true
% 0.21/0.46 % --sat_non_cyclic_types false
% 0.21/0.46 % --sat_finite_models false
% 0.21/0.46 % --sat_fm_lemmas false
% 0.21/0.46 % --sat_fm_prep false
% 0.21/0.46 % --sat_fm_uc_incr true
% 0.21/0.46 % --sat_out_model small
% 0.21/0.46 % --sat_out_clauses false
% 0.21/0.46
% 0.21/0.46 % ------ QBF Options
% 0.21/0.46
% 0.21/0.46 % --qbf_mode false
% 0.21/0.46 % --qbf_elim_univ true
% 0.21/0.46 % --qbf_sk_in true
% 0.21/0.46 % --qbf_pred_elim true
% 0.21/0.46 % --qbf_split 32
% 0.21/0.46
% 0.21/0.46 % ------ BMC1 Options
% 0.21/0.46
% 0.21/0.46 % --bmc1_incremental false
% 0.21/0.46 % --bmc1_axioms reachable_all
% 0.21/0.46 % --bmc1_min_bound 0
% 0.21/0.46 % --bmc1_max_bound -1
% 0.21/0.46 % --bmc1_max_bound_default -1
% 0.21/0.46 % --bmc1_symbol_reachability true
% 0.21/0.46 % --bmc1_property_lemmas false
% 0.21/0.46 % --bmc1_k_induction false
% 0.21/0.46 % --bmc1_non_equiv_states false
% 0.21/0.46 % --bmc1_deadlock false
% 0.21/0.46 % --bmc1_ucm false
% 0.21/0.46 % --bmc1_add_unsat_core none
% 0.21/0.46 % --bmc1_unsat_core_children false
% 0.21/0.46 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.46 % --bmc1_out_stat full
% 0.21/0.46 % --bmc1_ground_init false
% 0.21/0.46 % --bmc1_pre_inst_next_state false
% 0.21/0.46 % --bmc1_pre_inst_state false
% 0.21/0.46 % --bmc1_pre_inst_reach_state false
% 0.21/0.46 % --bmc1_out_unsat_core false
% 0.21/0.46 % --bmc1_aig_witness_out false
% 0.21/0.46 % --bmc1_verbose false
% 0.21/0.46 % --bmc1_dump_clauses_tptp false
% 0.21/0.46 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.46 % --bmc1_dump_file -
% 0.21/0.46 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.46 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.46 % --bmc1_ucm_extend_mode 1
% 0.21/0.46 % --bmc1_ucm_init_mode 2
% 0.21/0.46 % --bmc1_ucm_cone_mode none
% 0.21/0.46 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.46 % --bmc1_ucm_relax_model 4
% 0.21/0.46 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.46 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.46 % --bmc1_ucm_layered_model none
% 0.21/0.46 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.46
% 0.21/0.46 % ------ AIG Options
% 0.21/0.46
% 0.21/0.46 % --aig_mode false
% 0.21/0.46
% 0.21/0.46 % ------ Instantiation Options
% 0.21/0.46
% 0.21/0.46 % --instantiation_flag true
% 0.21/0.46 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.46 % --inst_solver_per_active 750
% 0.21/0.46 % --inst_solver_calls_frac 0.5
% 0.21/0.46 % --inst_passive_queue_type priority_queues
% 0.21/0.46 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.46 % --inst_passive_queues_freq [25;2]
% 0.21/0.46 % --inst_dismatching true
% 0.21/0.46 % --inst_eager_unprocessed_to_passive true
% 0.21/0.46 % --inst_prop_sim_given true
% 0.21/0.46 % --inst_prop_sim_new false
% 0.21/0.46 % --inst_orphan_elimination true
% 0.21/0.46 % --inst_learning_loop_flag true
% 0.21/0.46 % --inst_learning_start 3000
% 0.21/0.46 % --inst_learning_factor 2
% 0.21/0.46 % --inst_start_prop_sim_after_learn 3
% 0.21/0.46 % --inst_sel_renew solver
% 0.21/0.46 % --inst_lit_activity_flag true
% 0.21/0.46 % --inst_out_proof true
% 0.21/0.46
% 0.21/0.46 % ------ Resolution Options
% 0.21/0.46
% 0.21/0.46 % --resolution_flag true
% 0.21/0.46 % --res_lit_sel kbo_max
% 0.21/0.46 % --res_to_prop_solver none
% 0.21/0.46 % --res_prop_simpl_new false
% 0.21/0.46 % --res_prop_simpl_given false
% 0.21/0.46 % --res_passive_queue_type priority_queues
% 0.21/0.46 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.46 % --res_passive_queues_freq [15;5]
% 0.21/0.46 % --res_forward_subs full
% 0.21/0.46 % --res_backward_subs full
% 0.21/0.46 % --res_forward_subs_resolution true
% 0.21/0.46 % --res_backward_subs_resolution true
% 0.21/0.46 % --res_orphan_elimination false
% 0.21/0.46 % --res_time_limit 1000.
% 0.21/0.46 % --res_out_proof true
% 0.21/0.46 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_a511a2.s
% 0.21/0.46 % --modulo true
% 0.21/0.46
% 0.21/0.46 % ------ Combination Options
% 0.21/0.46
% 0.21/0.46 % --comb_res_mult 1000
% 0.21/0.46 % --comb_inst_mult 300
% 0.21/0.46 % ------
% 0.21/0.46
% 0.21/0.46 % ------ Parsing...% successful
% 0.21/0.46
% 0.21/0.46 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe_e snvd_s sp: 0 0s snvd_e %
% 0.21/0.46
% 0.21/0.46 % ------ Proving...
% 0.21/0.46 % ------ Problem Properties
% 0.21/0.46
% 0.21/0.46 %
% 0.21/0.46 % EPR false
% 0.21/0.46 % Horn false
% 0.21/0.46 % Has equality false
% 0.21/0.46
% 0.21/0.46 % % ------ Input Options Time Limit: Unbounded
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % % ------ Current options:
% 0.21/0.46
% 0.21/0.46 % ------ Input Options
% 0.21/0.46
% 0.21/0.46 % --out_options all
% 0.21/0.46 % --tptp_safe_out true
% 0.21/0.46 % --problem_path ""
% 0.21/0.46 % --include_path ""
% 0.21/0.46 % --clausifier .//eprover
% 0.21/0.46 % --clausifier_options --tstp-format
% 0.21/0.46 % --stdin false
% 0.21/0.46 % --dbg_backtrace false
% 0.21/0.46 % --dbg_dump_prop_clauses false
% 0.21/0.46 % --dbg_dump_prop_clauses_file -
% 0.21/0.46 % --dbg_out_stat false
% 0.21/0.46
% 0.21/0.46 % ------ General Options
% 0.21/0.46
% 0.21/0.46 % --fof false
% 0.21/0.46 % --time_out_real 150.
% 0.21/0.46 % --time_out_prep_mult 0.2
% 0.21/0.46 % --time_out_virtual -1.
% 0.21/0.46 % --schedule none
% 0.21/0.46 % --ground_splitting input
% 0.21/0.46 % --splitting_nvd 16
% 0.21/0.46 % --non_eq_to_eq false
% 0.21/0.46 % --prep_gs_sim true
% 0.21/0.46 % --prep_unflatten false
% 0.21/0.46 % --prep_res_sim true
% 0.21/0.46 % --prep_upred true
% 0.21/0.46 % --res_sim_input true
% 0.21/0.46 % --clause_weak_htbl true
% 0.21/0.46 % --gc_record_bc_elim false
% 0.21/0.46 % --symbol_type_check false
% 0.21/0.46 % --clausify_out false
% 0.21/0.46 % --large_theory_mode false
% 0.21/0.46 % --prep_sem_filter none
% 0.21/0.46 % --prep_sem_filter_out false
% 0.21/0.46 % --preprocessed_out false
% 0.21/0.46 % --sub_typing false
% 0.21/0.46 % --brand_transform false
% 0.21/0.46 % --pure_diseq_elim true
% 0.21/0.46 % --min_unsat_core false
% 0.21/0.46 % --pred_elim true
% 0.21/0.46 % --add_important_lit false
% 0.21/0.46 % --soft_assumptions false
% 0.21/0.46 % --reset_solvers false
% 0.21/0.46 % --bc_imp_inh []
% 0.21/0.46 % --conj_cone_tolerance 1.5
% 0.21/0.46 % --prolific_symb_bound 500
% 0.21/0.46 % --lt_threshold 2000
% 0.21/0.46
% 0.21/0.46 % ------ SAT Options
% 0.21/0.46
% 0.21/0.46 % --sat_mode false
% 0.21/0.46 % --sat_fm_restart_options ""
% 0.21/0.46 % --sat_gr_def false
% 0.21/0.46 % --sat_epr_types true
% 0.21/0.46 % --sat_non_cyclic_types false
% 0.21/0.46 % --sat_finite_models false
% 0.21/0.46 % --sat_fm_lemmas false
% 0.21/0.46 % --sat_fm_prep false
% 0.21/0.46 % --sat_fm_uc_incr true
% 0.21/0.46 % --sat_out_model small
% 0.21/0.46 % --sat_out_clauses false
% 0.21/0.46
% 0.21/0.46 % ------ QBF Options
% 0.21/0.46
% 0.21/0.46 % --qbf_mode false
% 0.21/0.46 % --qbf_elim_univ true
% 0.21/0.46 % --qbf_sk_in true
% 0.21/0.46 % --qbf_pred_elim true
% 0.21/0.46 % --qbf_split 32
% 0.21/0.46
% 0.21/0.46 % ------ BMC1 Options
% 0.21/0.46
% 0.21/0.46 % --bmc1_incremental false
% 0.21/0.46 % --bmc1_axioms reachable_all
% 0.21/0.46 % --bmc1_min_bound 0
% 0.21/0.46 % --bmc1_max_bound -1
% 0.21/0.47 % --bmc1_max_bound_default -1
% 0.21/0.47 % --bmc1_symbol_reachability true
% 0.21/0.47 % --bmc1_property_lemmas false
% 0.21/0.47 % --bmc1_k_induction false
% 0.21/0.47 % --bmc1_non_equiv_states false
% 0.21/0.47 % --bmc1_deadlock false
% 0.21/0.47 % --bmc1_ucm false
% 0.21/0.47 % --bmc1_add_unsat_core none
% 0.21/0.47 % --bmc1_unsat_core_children false
% 0.21/0.47 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.47 % --bmc1_out_stat full
% 0.21/0.47 % --bmc1_ground_init false
% 0.21/0.47 % --bmc1_pre_inst_next_state false
% 0.21/0.47 % --bmc1_pre_inst_state false
% 0.21/0.47 % --bmc1_pre_inst_reach_state false
% 0.21/0.47 % --bmc1_out_unsat_core false
% 0.21/0.47 % --bmc1_aig_witness_out false
% 0.21/0.47 % --bmc1_verbose false
% 0.21/0.47 % --bmc1_dump_clauses_tptp false
% 0.21/0.47 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.47 % --bmc1_dump_file -
% 0.21/0.47 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.47 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.47 % --bmc1_ucm_extend_mode 1
% 0.21/0.47 % --bmc1_ucm_init_mode 2
% 0.21/0.47 % --bmc1_ucm_cone_mode none
% 0.21/0.47 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.47 % --bmc1_ucm_relax_model 4
% 0.21/0.47 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.47 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.47 % --bmc1_ucm_layered_model none
% 0.21/0.47 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.47
% 0.21/0.47 % ------ AIG Options
% 0.21/0.47
% 0.21/0.47 % --aig_mode false
% 0.21/0.47
% 0.21/0.47 % ------ Instantiation Options
% 0.21/0.47
% 0.21/0.47 % --instantiation_flag true
% 0.21/0.47 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.47 % --inst_solver_per_active 750
% 0.21/0.47 % --inst_solver_calls_frac 0.5
% 0.21/0.47 % --inst_passive_queue_type priority_queues
% 0.21/0.47 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.47 % --inst_passive_queues_freq [25;2]
% 0.21/0.47 % --inst_dismatching true
% 0.21/0.47 % --inst_eager_unprocessed_to_passive true
% 0.21/0.47 % --inst_prop_sim_given true
% 150.25/150.46 % --inst_prop_sim_new false
% 150.25/150.46 % --inst_orphan_elimination true
% 150.25/150.46 % --inst_learning_loop_flag true
% 150.25/150.46 % --inst_learning_start 3000
% 150.25/150.46 % --inst_learning_factor 2
% 150.25/150.46 % --inst_start_prop_sim_after_learn 3
% 150.25/150.46 % --inst_sel_renew solver
% 150.25/150.46 % --inst_lit_activity_flag true
% 150.25/150.46 % --inst_out_proof true
% 150.25/150.46
% 150.25/150.46 % ------ Resolution Options
% 150.25/150.46
% 150.25/150.46 % --resolution_flag true
% 150.25/150.46 % --res_lit_sel kbo_max
% 150.25/150.46 % --res_to_prop_solver none
% 150.25/150.46 % --res_prop_simpl_new false
% 150.25/150.46 % --res_prop_simpl_given false
% 150.25/150.46 % --res_passive_queue_type priority_queues
% 150.25/150.46 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.25/150.46 % --res_passive_queues_freq [15;5]
% 150.25/150.46 % --res_forward_subs full
% 150.25/150.46 % --res_backward_subs full
% 150.25/150.46 % --res_forward_subs_resolution true
% 150.25/150.46 % --res_backward_subs_resolution true
% 150.25/150.46 % --res_orphan_elimination false
% 150.25/150.46 % --res_time_limit 1000.
% 150.25/150.46 % --res_out_proof true
% 150.25/150.46 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_a511a2.s
% 150.25/150.46 % --modulo true
% 150.25/150.46
% 150.25/150.46 % ------ Combination Options
% 150.25/150.46
% 150.25/150.46 % --comb_res_mult 1000
% 150.25/150.46 % --comb_inst_mult 300
% 150.25/150.46 % ------
% 150.25/150.46
% 150.25/150.46
% 150.25/150.46
% 150.25/150.46 % ------ Proving...
% 150.25/150.46 %
% 150.25/150.46
% 150.25/150.46
% 150.25/150.46 % Time Out Real
% 150.25/150.46
% 150.25/150.46 % ------ Statistics
% 150.25/150.46
% 150.25/150.46 % ------ General
% 150.25/150.46
% 150.25/150.46 % num_of_input_clauses: 80
% 150.25/150.46 % num_of_input_neg_conjectures: 2
% 150.25/150.46 % num_of_splits: 0
% 150.25/150.46 % num_of_split_atoms: 0
% 150.25/150.46 % num_of_sem_filtered_clauses: 0
% 150.25/150.46 % num_of_subtypes: 0
% 150.25/150.46 % monotx_restored_types: 0
% 150.25/150.46 % sat_num_of_epr_types: 0
% 150.25/150.46 % sat_num_of_non_cyclic_types: 0
% 150.25/150.46 % sat_guarded_non_collapsed_types: 0
% 150.25/150.46 % is_epr: 0
% 150.25/150.46 % is_horn: 0
% 150.25/150.46 % has_eq: 0
% 150.25/150.46 % num_pure_diseq_elim: 0
% 150.25/150.46 % simp_replaced_by: 0
% 150.25/150.46 % res_preprocessed: 5
% 150.25/150.46 % prep_upred: 0
% 150.25/150.46 % prep_unflattend: 0
% 150.25/150.46 % pred_elim_cands: 1
% 150.25/150.46 % pred_elim: 1
% 150.25/150.46 % pred_elim_cl: 1
% 150.25/150.46 % pred_elim_cycles: 2
% 150.25/150.46 % forced_gc_time: 0
% 150.25/150.46 % gc_basic_clause_elim: 0
% 150.25/150.46 % parsing_time: 0.003
% 150.25/150.46 % sem_filter_time: 0.
% 150.25/150.46 % pred_elim_time: 0.
% 150.25/150.46 % out_proof_time: 0.
% 150.25/150.46 % monotx_time: 0.
% 150.25/150.46 % subtype_inf_time: 0.
% 150.25/150.46 % unif_index_cands_time: 0.613
% 150.25/150.46 % unif_index_add_time: 0.04
% 150.25/150.46 % total_time: 150.016
% 150.25/150.46 % num_of_symbols: 36
% 150.25/150.46 % num_of_terms: 175095
% 150.25/150.46
% 150.25/150.46 % ------ Propositional Solver
% 150.25/150.46
% 150.25/150.46 % prop_solver_calls: 27
% 150.25/150.46 % prop_fast_solver_calls: 8
% 150.25/150.46 % prop_num_of_clauses: 22915
% 150.25/150.46 % prop_preprocess_simplified: 29330
% 150.25/150.46 % prop_fo_subsumed: 0
% 150.25/150.46 % prop_solver_time: 0.004
% 150.25/150.46 % prop_fast_solver_time: 0.
% 150.25/150.46 % prop_unsat_core_time: 0.
% 150.25/150.46
% 150.25/150.46 % ------ QBF
% 150.25/150.46
% 150.25/150.46 % qbf_q_res: 0
% 150.25/150.46 % qbf_num_tautologies: 0
% 150.25/150.46 % qbf_prep_cycles: 0
% 150.25/150.46
% 150.25/150.46 % ------ BMC1
% 150.25/150.46
% 150.25/150.46 % bmc1_current_bound: -1
% 150.25/150.46 % bmc1_last_solved_bound: -1
% 150.25/150.46 % bmc1_unsat_core_size: -1
% 150.25/150.46 % bmc1_unsat_core_parents_size: -1
% 150.25/150.46 % bmc1_merge_next_fun: 0
% 150.25/150.46 % bmc1_unsat_core_clauses_time: 0.
% 150.25/150.46
% 150.25/150.46 % ------ Instantiation
% 150.25/150.46
% 150.25/150.46 % inst_num_of_clauses: 752
% 150.25/150.46 % inst_num_in_passive: 384
% 150.25/150.46 % inst_num_in_active: 290
% 150.25/150.46 % inst_num_in_unprocessed: 71
% 150.25/150.46 % inst_num_of_loops: 299
% 150.25/150.48 % inst_num_of_learning_restarts: 1
% 150.25/150.48 % inst_num_moves_active_passive: 0
% 150.25/150.48 % inst_lit_activity: 181
% 150.25/150.48 % inst_lit_activity_moves: 0
% 150.25/150.48 % inst_num_tautologies: 7
% 150.25/150.48 % inst_num_prop_implied: 0
% 150.25/150.48 % inst_num_existing_simplified: 0
% 150.25/150.48 % inst_num_eq_res_simplified: 0
% 150.25/150.48 % inst_num_child_elim: 0
% 150.25/150.48 % inst_num_of_dismatching_blockings: 713
% 150.25/150.48 % inst_num_of_non_proper_insts: 1665
% 150.25/150.48 % inst_num_of_duplicates: 1215
% 150.25/150.48 % inst_inst_num_from_inst_to_res: 0
% 150.25/150.48 % inst_dismatching_checking_time: 0.181
% 150.25/150.48
% 150.25/150.48 % ------ Resolution
% 150.25/150.48
% 150.25/150.48 % res_num_of_clauses: 2504552
% 150.25/150.48 % res_num_in_passive: 2519519
% 150.25/150.48 % res_num_in_active: 7879
% 150.25/150.48 % res_num_of_loops: 11055
% 150.25/150.48 % res_forward_subset_subsumed: 833528
% 150.25/150.48 % res_backward_subset_subsumed: 23738
% 150.25/150.48 % res_forward_subsumed: 2293
% 150.25/150.48 % res_backward_subsumed: 294
% 150.25/150.48 % res_forward_subsumption_resolution: 1909
% 150.25/150.48 % res_backward_subsumption_resolution: 43
% 150.25/150.48 % res_clause_to_clause_subsumption: 2096799
% 150.25/150.48 % res_orphan_elimination: 0
% 150.25/150.48 % res_tautology_del: 34091
% 150.25/150.48 % res_num_eq_res_simplified: 0
% 150.25/150.48 % res_num_sel_changes: 0
% 150.25/150.48 % res_moves_from_active_to_pass: 0
% 150.25/150.48
% 150.25/150.48 % Status Unknown
% 150.25/150.52 % Orienting using strategy ClausalAll
% 150.25/150.52 % Orientation found
% 150.25/150.52 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_a511a2.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_9232f9.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_f4d6b9 | grep -v "SZS"
% 150.37/150.54
% 150.37/150.54 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.37/150.54
% 150.37/150.54 %
% 150.37/150.54 % ------ iProver source info
% 150.37/150.54
% 150.37/150.54 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.37/150.54 % git: non_committed_changes: true
% 150.37/150.54 % git: last_make_outside_of_git: true
% 150.37/150.54
% 150.37/150.54 %
% 150.37/150.54 % ------ Input Options
% 150.37/150.54
% 150.37/150.54 % --out_options all
% 150.37/150.54 % --tptp_safe_out true
% 150.37/150.54 % --problem_path ""
% 150.37/150.54 % --include_path ""
% 150.37/150.54 % --clausifier .//eprover
% 150.37/150.54 % --clausifier_options --tstp-format
% 150.37/150.54 % --stdin false
% 150.37/150.54 % --dbg_backtrace false
% 150.37/150.54 % --dbg_dump_prop_clauses false
% 150.37/150.54 % --dbg_dump_prop_clauses_file -
% 150.37/150.54 % --dbg_out_stat false
% 150.37/150.54
% 150.37/150.54 % ------ General Options
% 150.37/150.54
% 150.37/150.54 % --fof false
% 150.37/150.54 % --time_out_real 150.
% 150.37/150.54 % --time_out_prep_mult 0.2
% 150.37/150.54 % --time_out_virtual -1.
% 150.37/150.54 % --schedule none
% 150.37/150.54 % --ground_splitting input
% 150.37/150.54 % --splitting_nvd 16
% 150.37/150.54 % --non_eq_to_eq false
% 150.37/150.54 % --prep_gs_sim true
% 150.37/150.54 % --prep_unflatten false
% 150.37/150.54 % --prep_res_sim true
% 150.37/150.54 % --prep_upred true
% 150.37/150.54 % --res_sim_input true
% 150.37/150.54 % --clause_weak_htbl true
% 150.37/150.54 % --gc_record_bc_elim false
% 150.37/150.54 % --symbol_type_check false
% 150.37/150.54 % --clausify_out false
% 150.37/150.54 % --large_theory_mode false
% 150.37/150.54 % --prep_sem_filter none
% 150.37/150.54 % --prep_sem_filter_out false
% 150.37/150.54 % --preprocessed_out false
% 150.37/150.54 % --sub_typing false
% 150.37/150.54 % --brand_transform false
% 150.37/150.54 % --pure_diseq_elim true
% 150.37/150.54 % --min_unsat_core false
% 150.37/150.54 % --pred_elim true
% 150.37/150.54 % --add_important_lit false
% 150.37/150.54 % --soft_assumptions false
% 150.37/150.54 % --reset_solvers false
% 150.37/150.54 % --bc_imp_inh []
% 150.37/150.54 % --conj_cone_tolerance 1.5
% 150.37/150.54 % --prolific_symb_bound 500
% 150.37/150.54 % --lt_threshold 2000
% 150.37/150.54
% 150.37/150.54 % ------ SAT Options
% 150.37/150.54
% 150.37/150.54 % --sat_mode false
% 150.37/150.54 % --sat_fm_restart_options ""
% 150.37/150.54 % --sat_gr_def false
% 150.37/150.54 % --sat_epr_types true
% 150.37/150.54 % --sat_non_cyclic_types false
% 150.37/150.54 % --sat_finite_models false
% 150.37/150.54 % --sat_fm_lemmas false
% 150.37/150.54 % --sat_fm_prep false
% 150.37/150.54 % --sat_fm_uc_incr true
% 150.37/150.54 % --sat_out_model small
% 150.37/150.54 % --sat_out_clauses false
% 150.37/150.54
% 150.37/150.54 % ------ QBF Options
% 150.37/150.54
% 150.37/150.54 % --qbf_mode false
% 150.37/150.54 % --qbf_elim_univ true
% 150.37/150.54 % --qbf_sk_in true
% 150.37/150.54 % --qbf_pred_elim true
% 150.37/150.54 % --qbf_split 32
% 150.37/150.54
% 150.37/150.54 % ------ BMC1 Options
% 150.37/150.54
% 150.37/150.54 % --bmc1_incremental false
% 150.37/150.54 % --bmc1_axioms reachable_all
% 150.37/150.54 % --bmc1_min_bound 0
% 150.37/150.54 % --bmc1_max_bound -1
% 150.37/150.54 % --bmc1_max_bound_default -1
% 150.37/150.54 % --bmc1_symbol_reachability true
% 150.37/150.54 % --bmc1_property_lemmas false
% 150.37/150.54 % --bmc1_k_induction false
% 150.37/150.54 % --bmc1_non_equiv_states false
% 150.37/150.54 % --bmc1_deadlock false
% 150.37/150.54 % --bmc1_ucm false
% 150.37/150.54 % --bmc1_add_unsat_core none
% 150.37/150.54 % --bmc1_unsat_core_children false
% 150.37/150.54 % --bmc1_unsat_core_extrapolate_axioms false
% 150.37/150.54 % --bmc1_out_stat full
% 150.37/150.54 % --bmc1_ground_init false
% 150.37/150.54 % --bmc1_pre_inst_next_state false
% 150.37/150.54 % --bmc1_pre_inst_state false
% 150.37/150.54 % --bmc1_pre_inst_reach_state false
% 150.37/150.54 % --bmc1_out_unsat_core false
% 150.37/150.54 % --bmc1_aig_witness_out false
% 150.37/150.54 % --bmc1_verbose false
% 150.37/150.54 % --bmc1_dump_clauses_tptp false
% 150.37/150.54 % --bmc1_dump_unsat_core_tptp false
% 150.37/150.54 % --bmc1_dump_file -
% 150.37/150.54 % --bmc1_ucm_expand_uc_limit 128
% 150.37/150.54 % --bmc1_ucm_n_expand_iterations 6
% 150.37/150.54 % --bmc1_ucm_extend_mode 1
% 150.37/150.54 % --bmc1_ucm_init_mode 2
% 150.37/150.54 % --bmc1_ucm_cone_mode none
% 150.37/150.54 % --bmc1_ucm_reduced_relation_type 0
% 150.37/150.54 % --bmc1_ucm_relax_model 4
% 150.37/150.54 % --bmc1_ucm_full_tr_after_sat true
% 150.37/150.54 % --bmc1_ucm_expand_neg_assumptions false
% 150.37/150.54 % --bmc1_ucm_layered_model none
% 150.37/150.54 % --bmc1_ucm_max_lemma_size 10
% 150.37/150.54
% 150.37/150.54 % ------ AIG Options
% 150.37/150.54
% 150.37/150.54 % --aig_mode false
% 150.37/150.54
% 150.37/150.54 % ------ Instantiation Options
% 150.37/150.54
% 150.37/150.54 % --instantiation_flag true
% 150.37/150.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.37/150.54 % --inst_solver_per_active 750
% 150.37/150.54 % --inst_solver_calls_frac 0.5
% 150.37/150.54 % --inst_passive_queue_type priority_queues
% 150.37/150.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.37/150.54 % --inst_passive_queues_freq [25;2]
% 150.37/150.54 % --inst_dismatching true
% 150.37/150.54 % --inst_eager_unprocessed_to_passive true
% 150.37/150.54 % --inst_prop_sim_given true
% 150.37/150.54 % --inst_prop_sim_new false
% 150.37/150.54 % --inst_orphan_elimination true
% 150.37/150.54 % --inst_learning_loop_flag true
% 150.37/150.54 % --inst_learning_start 3000
% 150.37/150.54 % --inst_learning_factor 2
% 150.37/150.54 % --inst_start_prop_sim_after_learn 3
% 150.37/150.54 % --inst_sel_renew solver
% 150.37/150.54 % --inst_lit_activity_flag true
% 150.37/150.54 % --inst_out_proof true
% 150.37/150.54
% 150.37/150.54 % ------ Resolution Options
% 150.37/150.54
% 150.37/150.54 % --resolution_flag true
% 150.37/150.54 % --res_lit_sel kbo_max
% 150.37/150.54 % --res_to_prop_solver none
% 150.37/150.54 % --res_prop_simpl_new false
% 150.37/150.54 % --res_prop_simpl_given false
% 150.37/150.54 % --res_passive_queue_type priority_queues
% 150.37/150.54 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.37/150.54 % --res_passive_queues_freq [15;5]
% 150.37/150.54 % --res_forward_subs full
% 150.37/150.54 % --res_backward_subs full
% 150.37/150.54 % --res_forward_subs_resolution true
% 150.37/150.54 % --res_backward_subs_resolution true
% 150.37/150.54 % --res_orphan_elimination false
% 150.37/150.54 % --res_time_limit 1000.
% 150.37/150.54 % --res_out_proof true
% 150.37/150.54 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_a511a2.s
% 150.37/150.54 % --modulo true
% 150.37/150.54
% 150.37/150.54 % ------ Combination Options
% 150.37/150.54
% 150.37/150.54 % --comb_res_mult 1000
% 150.37/150.54 % --comb_inst_mult 300
% 150.37/150.54 % ------
% 150.37/150.54
% 150.37/150.54 % ------ Parsing...% successful
% 150.37/150.54
% 150.37/150.54 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe_e snvd_s sp: 0 0s snvd_e %
% 150.37/150.54
% 150.37/150.54 % ------ Proving...
% 150.37/150.54 % ------ Problem Properties
% 150.37/150.54
% 150.37/150.54 %
% 150.37/150.54 % EPR false
% 150.37/150.54 % Horn false
% 150.37/150.54 % Has equality false
% 150.37/150.54
% 150.37/150.54 % % ------ Input Options Time Limit: Unbounded
% 150.37/150.54
% 150.37/150.54
% 150.37/150.54 % % ------ Current options:
% 150.37/150.54
% 150.37/150.54 % ------ Input Options
% 150.37/150.54
% 150.37/150.54 % --out_options all
% 150.37/150.54 % --tptp_safe_out true
% 150.37/150.54 % --problem_path ""
% 150.37/150.54 % --include_path ""
% 150.37/150.54 % --clausifier .//eprover
% 150.37/150.54 % --clausifier_options --tstp-format
% 150.37/150.54 % --stdin false
% 150.37/150.54 % --dbg_backtrace false
% 150.37/150.54 % --dbg_dump_prop_clauses false
% 150.37/150.54 % --dbg_dump_prop_clauses_file -
% 150.37/150.54 % --dbg_out_stat false
% 150.37/150.54
% 150.37/150.54 % ------ General Options
% 150.37/150.54
% 150.37/150.54 % --fof false
% 150.37/150.54 % --time_out_real 150.
% 150.37/150.54 % --time_out_prep_mult 0.2
% 150.37/150.54 % --time_out_virtual -1.
% 150.37/150.54 % --schedule none
% 150.37/150.54 % --ground_splitting input
% 150.37/150.54 % --splitting_nvd 16
% 150.37/150.54 % --non_eq_to_eq false
% 150.37/150.54 % --prep_gs_sim true
% 150.37/150.54 % --prep_unflatten false
% 150.37/150.54 % --prep_res_sim true
% 150.37/150.54 % --prep_upred true
% 150.37/150.54 % --res_sim_input true
% 150.37/150.54 % --clause_weak_htbl true
% 150.37/150.54 % --gc_record_bc_elim false
% 150.37/150.54 % --symbol_type_check false
% 150.37/150.54 % --clausify_out false
% 150.37/150.54 % --large_theory_mode false
% 150.37/150.54 % --prep_sem_filter none
% 150.37/150.54 % --prep_sem_filter_out false
% 150.37/150.54 % --preprocessed_out false
% 150.37/150.54 % --sub_typing false
% 150.37/150.54 % --brand_transform false
% 150.37/150.54 % --pure_diseq_elim true
% 150.37/150.54 % --min_unsat_core false
% 150.37/150.54 % --pred_elim true
% 150.37/150.54 % --add_important_lit false
% 150.37/150.54 % --soft_assumptions false
% 150.37/150.54 % --reset_solvers false
% 150.37/150.54 % --bc_imp_inh []
% 150.37/150.54 % --conj_cone_tolerance 1.5
% 150.37/150.54 % --prolific_symb_bound 500
% 150.37/150.54 % --lt_threshold 2000
% 150.37/150.54
% 150.37/150.54 % ------ SAT Options
% 150.37/150.54
% 150.37/150.54 % --sat_mode false
% 150.37/150.54 % --sat_fm_restart_options ""
% 150.37/150.54 % --sat_gr_def false
% 150.37/150.54 % --sat_epr_types true
% 150.37/150.54 % --sat_non_cyclic_types false
% 150.37/150.54 % --sat_finite_models false
% 150.37/150.54 % --sat_fm_lemmas false
% 150.37/150.54 % --sat_fm_prep false
% 150.37/150.54 % --sat_fm_uc_incr true
% 150.37/150.54 % --sat_out_model small
% 150.37/150.54 % --sat_out_clauses false
% 150.37/150.54
% 150.37/150.54 % ------ QBF Options
% 150.37/150.54
% 150.37/150.54 % --qbf_mode false
% 150.37/150.54 % --qbf_elim_univ true
% 150.37/150.54 % --qbf_sk_in true
% 150.37/150.54 % --qbf_pred_elim true
% 150.37/150.54 % --qbf_split 32
% 150.37/150.54
% 150.37/150.54 % ------ BMC1 Options
% 150.37/150.54
% 150.37/150.54 % --bmc1_incremental false
% 150.37/150.54 % --bmc1_axioms reachable_all
% 150.37/150.54 % --bmc1_min_bound 0
% 150.37/150.54 % --bmc1_max_bound -1
% 150.37/150.54 % --bmc1_max_bound_default -1
% 150.37/150.54 % --bmc1_symbol_reachability true
% 150.37/150.54 % --bmc1_property_lemmas false
% 150.37/150.54 % --bmc1_k_induction false
% 150.37/150.54 % --bmc1_non_equiv_states false
% 150.37/150.54 % --bmc1_deadlock false
% 150.37/150.54 % --bmc1_ucm false
% 150.37/150.54 % --bmc1_add_unsat_core none
% 150.37/150.54 % --bmc1_unsat_core_children false
% 150.37/150.54 % --bmc1_unsat_core_extrapolate_axioms false
% 150.37/150.54 % --bmc1_out_stat full
% 150.37/150.54 % --bmc1_ground_init false
% 150.37/150.54 % --bmc1_pre_inst_next_state false
% 150.37/150.54 % --bmc1_pre_inst_state false
% 150.37/150.54 % --bmc1_pre_inst_reach_state false
% 150.37/150.54 % --bmc1_out_unsat_core false
% 150.37/150.54 % --bmc1_aig_witness_out false
% 150.37/150.54 % --bmc1_verbose false
% 150.37/150.54 % --bmc1_dump_clauses_tptp false
% 150.37/150.54 % --bmc1_dump_unsat_core_tptp false
% 150.37/150.54 % --bmc1_dump_file -
% 150.37/150.54 % --bmc1_ucm_expand_uc_limit 128
% 150.37/150.54 % --bmc1_ucm_n_expand_iterations 6
% 150.37/150.54 % --bmc1_ucm_extend_mode 1
% 150.37/150.54 % --bmc1_ucm_init_mode 2
% 150.37/150.54 % --bmc1_ucm_cone_mode none
% 150.37/150.54 % --bmc1_ucm_reduced_relation_type 0
% 150.37/150.54 % --bmc1_ucm_relax_model 4
% 150.37/150.54 % --bmc1_ucm_full_tr_after_sat true
% 150.37/150.54 % --bmc1_ucm_expand_neg_assumptions false
% 150.37/150.54 % --bmc1_ucm_layered_model none
% 150.37/150.54 % --bmc1_ucm_max_lemma_size 10
% 150.37/150.54
% 150.37/150.54 % ------ AIG Options
% 150.37/150.54
% 150.37/150.54 % --aig_mode false
% 150.37/150.54
% 150.37/150.54 % ------ Instantiation Options
% 150.37/150.54
% 150.37/150.54 % --instantiation_flag true
% 150.37/150.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.37/150.54 % --inst_solver_per_active 750
% 150.37/150.54 % --inst_solver_calls_frac 0.5
% 150.37/150.54 % --inst_passive_queue_type priority_queues
% 150.37/150.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.37/150.54 % --inst_passive_queues_freq [25;2]
% 150.37/150.54 % --inst_dismatching true
% 150.37/150.54 % --inst_eager_unprocessed_to_passive true
% 150.37/150.54 % --inst_prop_sim_given true
% 156.42/156.60 % --inst_prop_sim_new false
% 156.42/156.60 % --inst_orphan_elimination true
% 156.42/156.60 % --inst_learning_loop_flag true
% 156.42/156.60 % --inst_learning_start 3000
% 156.42/156.60 % --inst_learning_factor 2
% 156.42/156.60 % --inst_start_prop_sim_after_learn 3
% 156.42/156.60 % --inst_sel_renew solver
% 156.42/156.60 % --inst_lit_activity_flag true
% 156.42/156.60 % --inst_out_proof true
% 156.42/156.60
% 156.42/156.60 % ------ Resolution Options
% 156.42/156.60
% 156.42/156.60 % --resolution_flag true
% 156.42/156.60 % --res_lit_sel kbo_max
% 156.42/156.60 % --res_to_prop_solver none
% 156.42/156.60 % --res_prop_simpl_new false
% 156.42/156.60 % --res_prop_simpl_given false
% 156.42/156.60 % --res_passive_queue_type priority_queues
% 156.42/156.60 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 156.42/156.60 % --res_passive_queues_freq [15;5]
% 156.42/156.60 % --res_forward_subs full
% 156.42/156.60 % --res_backward_subs full
% 156.42/156.60 % --res_forward_subs_resolution true
% 156.42/156.60 % --res_backward_subs_resolution true
% 156.42/156.60 % --res_orphan_elimination false
% 156.42/156.60 % --res_time_limit 1000.
% 156.42/156.60 % --res_out_proof true
% 156.42/156.60 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_a511a2.s
% 156.42/156.60 % --modulo true
% 156.42/156.60
% 156.42/156.60 % ------ Combination Options
% 156.42/156.60
% 156.42/156.60 % --comb_res_mult 1000
% 156.42/156.60 % --comb_inst_mult 300
% 156.42/156.60 % ------
% 156.42/156.60
% 156.42/156.60
% 156.42/156.60
% 156.42/156.60 % ------ Proving...
% 156.42/156.60 %
% 156.42/156.60
% 156.42/156.60
% 156.42/156.60 % ------ Statistics
% 156.42/156.60
% 156.42/156.60 % ------ General
% 156.42/156.60
% 156.42/156.60 % num_of_input_clauses: 80
% 156.42/156.60 % num_of_input_neg_conjectures: 2
% 156.42/156.60 % num_of_splits: 0
% 156.42/156.60 % num_of_split_atoms: 0
% 156.42/156.60 % num_of_sem_filtered_clauses: 0
% 156.42/156.60 % num_of_subtypes: 0
% 156.42/156.60 % monotx_restored_types: 0
% 156.42/156.60 % sat_num_of_epr_types: 0
% 156.42/156.60 % sat_num_of_non_cyclic_types: 0
% 156.42/156.60 % sat_guarded_non_collapsed_types: 0
% 156.42/156.60 % is_epr: 0
% 156.42/156.60 % is_horn: 0
% 156.42/156.60 % has_eq: 0
% 156.42/156.60 % num_pure_diseq_elim: 0
% 156.42/156.60 % simp_replaced_by: 0
% 156.42/156.60 % res_preprocessed: 5
% 156.42/156.60 % prep_upred: 0
% 156.42/156.60 % prep_unflattend: 0
% 156.42/156.60 % pred_elim_cands: 1
% 156.42/156.60 % pred_elim: 1
% 156.42/156.60 % pred_elim_cl: 1
% 156.42/156.60 % pred_elim_cycles: 2
% 156.42/156.60 % forced_gc_time: 0
% 156.42/156.60 % gc_basic_clause_elim: 0
% 156.42/156.60 % parsing_time: 0.001
% 156.42/156.60 % sem_filter_time: 0.
% 156.42/156.60 % pred_elim_time: 0.
% 156.42/156.60 % out_proof_time: 0.002
% 156.42/156.60 % monotx_time: 0.
% 156.42/156.60 % subtype_inf_time: 0.
% 156.42/156.60 % unif_index_cands_time: 0.01
% 156.42/156.60 % unif_index_add_time: 0.005
% 156.42/156.60 % total_time: 6.069
% 156.42/156.60 % num_of_symbols: 36
% 156.42/156.60 % num_of_terms: 14778
% 156.42/156.60
% 156.42/156.60 % ------ Propositional Solver
% 156.42/156.60
% 156.42/156.60 % prop_solver_calls: 12
% 156.42/156.60 % prop_fast_solver_calls: 8
% 156.42/156.60 % prop_num_of_clauses: 6116
% 156.42/156.60 % prop_preprocess_simplified: 8655
% 156.42/156.60 % prop_fo_subsumed: 0
% 156.42/156.60 % prop_solver_time: 0.001
% 156.42/156.60 % prop_fast_solver_time: 0.
% 156.42/156.60 % prop_unsat_core_time: 0.001
% 156.42/156.60
% 156.42/156.60 % ------ QBF
% 156.42/156.60
% 156.42/156.60 % qbf_q_res: 0
% 156.42/156.60 % qbf_num_tautologies: 0
% 156.42/156.60 % qbf_prep_cycles: 0
% 156.42/156.60
% 156.42/156.60 % ------ BMC1
% 156.42/156.60
% 156.42/156.60 % bmc1_current_bound: -1
% 156.42/156.60 % bmc1_last_solved_bound: -1
% 156.42/156.60 % bmc1_unsat_core_size: -1
% 156.42/156.60 % bmc1_unsat_core_parents_size: -1
% 156.42/156.60 % bmc1_merge_next_fun: 0
% 156.42/156.60 % bmc1_unsat_core_clauses_time: 0.
% 156.42/156.60
% 156.42/156.60 % ------ Instantiation
% 156.42/156.60
% 156.42/156.60 % inst_num_of_clauses: 4258
% 156.42/156.60 % inst_num_in_passive: 2335
% 156.42/156.60 % inst_num_in_active: 1101
% 156.42/156.60 % inst_num_in_unprocessed: 797
% 156.42/156.60 % inst_num_of_loops: 1154
% 156.42/156.60 % inst_num_of_learning_restarts: 0
% 156.42/156.60 % inst_num_moves_active_passive: 27
% 156.42/156.60 % inst_lit_activity: 441
% 156.42/156.60 % inst_lit_activity_moves: 0
% 156.42/156.60 % inst_num_tautologies: 23
% 156.42/156.60 % inst_num_prop_implied: 0
% 156.42/156.60 % inst_num_existing_simplified: 0
% 156.42/156.60 % inst_num_eq_res_simplified: 0
% 156.42/156.60 % inst_num_child_elim: 0
% 156.42/156.60 % inst_num_of_dismatching_blockings: 7368
% 156.42/156.60 % inst_num_of_non_proper_insts: 13784
% 156.42/156.60 % inst_num_of_duplicates: 10244
% 156.42/156.60 % inst_inst_num_from_inst_to_res: 0
% 156.42/156.60 % inst_dismatching_checking_time: 0.023
% 156.42/156.60
% 156.42/156.60 % ------ Resolution
% 156.42/156.60
% 156.42/156.60 % res_num_of_clauses: 21256
% 156.42/156.60 % res_num_in_passive: 19105
% 156.42/156.60 % res_num_in_active: 2550
% 156.42/156.60 % res_num_of_loops: 4000
% 156.42/156.60 % res_forward_subset_subsumed: 11874
% 156.42/156.60 % res_backward_subset_subsumed: 520
% 156.42/156.60 % res_forward_subsumed: 1394
% 156.42/156.60 % res_backward_subsumed: 98
% 156.42/156.60 % res_forward_subsumption_resolution: 179
% 156.42/156.60 % res_backward_subsumption_resolution: 0
% 156.42/156.60 % res_clause_to_clause_subsumption: 2728540
% 156.42/156.60 % res_orphan_elimination: 0
% 156.42/156.60 % res_tautology_del: 587
% 156.42/156.60 % res_num_eq_res_simplified: 0
% 156.42/156.60 % res_num_sel_changes: 0
% 156.42/156.60 % res_moves_from_active_to_pass: 0
% 156.42/156.60
% 156.42/156.60 % Status Unsatisfiable
% 156.42/156.60 % SZS status Unsatisfiable
% 156.42/156.60 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------