TSTP Solution File: FLD012-4 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : FLD012-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n027.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 02:11:03 EDT 2022
% Result : Unsatisfiable 224.07s 224.48s
% Output : CNFRefutation 224.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 64
% Syntax : Number of formulae : 367 ( 73 unt; 0 def)
% Number of atoms : 1046 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1346 ( 667 ~; 679 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 866 ( 1 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,
~ product(multiplicative_identity,multiplicative_inverse(u),v),
file('<stdin>',not_product_9) ).
fof(c_0_1_002,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('<stdin>',not_sum_6) ).
fof(c_0_2_003,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('<stdin>',not_sum_5) ).
fof(c_0_3_004,negated_conjecture,
product(multiplicative_inverse(a),multiplicative_inverse(b),v),
file('<stdin>',product_8) ).
fof(c_0_4_005,negated_conjecture,
product(a,b,u),
file('<stdin>',product_7) ).
fof(c_0_5_006,hypothesis,
defined(v),
file('<stdin>',v_is_defined) ).
fof(c_0_6_007,hypothesis,
defined(u),
file('<stdin>',u_is_defined) ).
fof(c_0_7_008,hypothesis,
defined(b),
file('<stdin>',b_is_defined) ).
fof(c_0_8_009,hypothesis,
defined(a),
file('<stdin>',a_is_defined) ).
fof(c_0_9_010,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(u),v),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_10_011,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_11_012,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_12_013,negated_conjecture,
product(multiplicative_inverse(a),multiplicative_inverse(b),v),
c_0_3 ).
fof(c_0_13_014,negated_conjecture,
product(a,b,u),
c_0_4 ).
fof(c_0_14_015,hypothesis,
defined(v),
c_0_5 ).
fof(c_0_15_016,hypothesis,
defined(u),
c_0_6 ).
fof(c_0_16_017,hypothesis,
defined(b),
c_0_7 ).
fof(c_0_17_018,hypothesis,
defined(a),
c_0_8 ).
fof(c_0_18_019,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(u),v),
c_0_9 ).
fof(c_0_19_020,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
c_0_10 ).
fof(c_0_20_021,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
c_0_11 ).
fof(c_0_21_022,negated_conjecture,
product(multiplicative_inverse(a),multiplicative_inverse(b),v),
c_0_12 ).
fof(c_0_22_023,negated_conjecture,
product(a,b,u),
c_0_13 ).
fof(c_0_23_024,hypothesis,
defined(v),
c_0_14 ).
fof(c_0_24_025,hypothesis,
defined(u),
c_0_15 ).
fof(c_0_25_026,hypothesis,
defined(b),
c_0_16 ).
fof(c_0_26_027,hypothesis,
defined(a),
c_0_17 ).
cnf(c_0_27_028,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(u),v),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28_029,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29_030,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30_031,negated_conjecture,
product(multiplicative_inverse(a),multiplicative_inverse(b),v),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31_032,negated_conjecture,
product(a,b,u),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32_033,hypothesis,
defined(v),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_33_034,hypothesis,
defined(u),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34_035,hypothesis,
defined(b),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35_036,hypothesis,
defined(a),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36_037,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(u),v),
c_0_27,
[final] ).
cnf(c_0_37_038,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
c_0_28,
[final] ).
cnf(c_0_38_039,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
c_0_29,
[final] ).
cnf(c_0_39_040,negated_conjecture,
product(multiplicative_inverse(a),multiplicative_inverse(b),v),
c_0_30,
[final] ).
cnf(c_0_40_041,negated_conjecture,
product(a,b,u),
c_0_31,
[final] ).
cnf(c_0_41_042,hypothesis,
defined(v),
c_0_32,
[final] ).
cnf(c_0_42_043,hypothesis,
defined(u),
c_0_33,
[final] ).
cnf(c_0_43_044,hypothesis,
defined(b),
c_0_34,
[final] ).
cnf(c_0_44_045,hypothesis,
defined(a),
c_0_35,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_54,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_109_0) ).
cnf(c_581751,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
inference(copy,[status(esa)],[c_54]) ).
cnf(c_581903,plain,
( sum(b,additive_identity,additive_identity)
| ~ sum(b,X0,X1)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X1,X2,additive_identity) ),
inference(instantiation,[status(thm)],[c_581751]) ).
cnf(c_686692,plain,
( ~ sum(v,X0,additive_identity)
| sum(b,additive_identity,additive_identity)
| ~ sum(b,v,v) ),
inference(instantiation,[status(thm)],[c_581903]) ).
cnf(c_837009,plain,
( ~ sum(v,additive_inverse(v),additive_identity)
| sum(b,additive_identity,additive_identity)
| ~ sum(b,v,v) ),
inference(instantiation,[status(thm)],[c_686692]) ).
cnf(c_21,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_121_0) ).
cnf(c_581718,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
inference(copy,[status(esa)],[c_21]) ).
cnf(c_686824,plain,
( ~ defined(add(a,a))
| product(multiplicative_identity,add(a,a),add(a,a)) ),
inference(instantiation,[status(thm)],[c_581718]) ).
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_3aa395.p',c_0_105_0) ).
cnf(c_581768,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_631662,plain,
( sum(X0,v,X1)
| ~ sum(X2,X3,X4)
| ~ product(X3,X5,v)
| ~ product(X4,X5,X1)
| ~ product(X2,X5,X0) ),
inference(instantiation,[status(thm)],[c_581768]) ).
cnf(c_634126,plain,
( ~ sum(X0,multiplicative_inverse(b),X1)
| sum(X2,v,X3)
| ~ product(multiplicative_inverse(b),multiplicative_inverse(a),v)
| ~ product(X1,multiplicative_inverse(a),X3)
| ~ product(X0,multiplicative_inverse(a),X2) ),
inference(instantiation,[status(thm)],[c_631662]) ).
cnf(c_635760,plain,
( ~ sum(X0,multiplicative_inverse(b),multiplicative_inverse(b))
| sum(X1,v,v)
| ~ product(multiplicative_inverse(b),multiplicative_inverse(a),v)
| ~ product(X0,multiplicative_inverse(a),X1) ),
inference(instantiation,[status(thm)],[c_634126]) ).
cnf(c_686691,plain,
( sum(b,v,v)
| ~ sum(X0,multiplicative_inverse(b),multiplicative_inverse(b))
| ~ product(multiplicative_inverse(b),multiplicative_inverse(a),v)
| ~ product(X0,multiplicative_inverse(a),b) ),
inference(instantiation,[status(thm)],[c_635760]) ).
cnf(c_686695,plain,
( ~ sum(additive_identity,multiplicative_inverse(b),multiplicative_inverse(b))
| sum(b,v,v)
| ~ product(additive_identity,multiplicative_inverse(a),b)
| ~ product(multiplicative_inverse(b),multiplicative_inverse(a),v) ),
inference(instantiation,[status(thm)],[c_686691]) ).
cnf(c_11,plain,
( ~ defined(X0)
| ~ defined(X1)
| defined(add(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_125_0) ).
cnf(c_160,plain,
( ~ defined(X0)
| ~ defined(X1)
| defined(add(X0,X1)) ),
inference(copy,[status(esa)],[c_11]) ).
cnf(c_517550,plain,
( defined(add(a,a))
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_160]) ).
cnf(c_61,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| product(X0,X4,X5)
| ~ product(X2,X3,X5) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_107_1) ).
cnf(c_210,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| product(X0,X4,X5)
| ~ product(X2,X3,X5) ),
inference(copy,[status(esa)],[c_61]) ).
cnf(c_21297,plain,
( ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_identity,X1,X2)
| ~ product(X0,X3,X1)
| ~ product(X0,X3,X2) ),
inference(instantiation,[status(thm)],[c_210]) ).
cnf(c_64211,plain,
( product(multiplicative_identity,u,X0)
| ~ product(multiplicative_identity,X1,X1)
| ~ product(X1,X2,u)
| ~ product(X1,X2,X0) ),
inference(instantiation,[status(thm)],[c_21297]) ).
cnf(c_517396,plain,
( ~ product(multiplicative_identity,add(a,a),add(a,a))
| product(multiplicative_identity,u,X0)
| ~ product(add(a,a),b,u)
| ~ product(add(a,a),b,X0) ),
inference(instantiation,[status(thm)],[c_64211]) ).
cnf(c_517397,plain,
( ~ product(multiplicative_identity,add(a,a),add(a,a))
| product(multiplicative_identity,u,additive_identity)
| ~ product(add(a,a),b,additive_identity)
| ~ product(add(a,a),b,u) ),
inference(instantiation,[status(thm)],[c_517396]) ).
cnf(c_63,plain,
( product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X1,X4)
| ~ product(X3,X5,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_106_3) ).
cnf(c_212,plain,
( product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X1,X4)
| ~ product(X3,X5,X0) ),
inference(copy,[status(esa)],[c_63]) ).
cnf(c_183843,plain,
( product(multiplicative_identity,multiplicative_inverse(u),v)
| ~ product(X0,multiplicative_inverse(u),X1)
| ~ product(X2,X0,multiplicative_identity)
| ~ product(X2,X1,v) ),
inference(instantiation,[status(thm)],[c_212]) ).
cnf(c_234248,plain,
( product(multiplicative_identity,multiplicative_inverse(u),v)
| ~ product(u,multiplicative_inverse(u),X0)
| ~ product(v,u,multiplicative_identity)
| ~ product(v,X0,v) ),
inference(instantiation,[status(thm)],[c_183843]) ).
cnf(c_379981,plain,
( product(multiplicative_identity,multiplicative_inverse(u),v)
| ~ product(u,multiplicative_inverse(u),multiplicative_identity)
| ~ product(v,multiplicative_identity,v)
| ~ product(v,u,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_234248]) ).
cnf(c_55,plain,
( sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X1,X4)
| ~ sum(X3,X5,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_108_3) ).
cnf(c_204,plain,
( sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X1,X4)
| ~ sum(X3,X5,X0) ),
inference(copy,[status(esa)],[c_55]) ).
cnf(c_60844,plain,
( sum(X0,u,X1)
| ~ sum(X2,u,X3)
| ~ sum(X4,X3,X1)
| ~ sum(X4,X2,X0) ),
inference(instantiation,[status(thm)],[c_204]) ).
cnf(c_63654,plain,
( sum(u,u,X0)
| ~ sum(X1,u,X2)
| ~ sum(X3,X1,u)
| ~ sum(X3,X2,X0) ),
inference(instantiation,[status(thm)],[c_60844]) ).
cnf(c_101095,plain,
( sum(u,u,X0)
| ~ sum(u,u,X1)
| ~ sum(X2,u,u)
| ~ sum(X2,X1,X0) ),
inference(instantiation,[status(thm)],[c_63654]) ).
cnf(c_144246,plain,
( ~ sum(u,u,u)
| sum(u,u,X0)
| ~ sum(X1,u,u)
| ~ sum(X1,u,X0) ),
inference(instantiation,[status(thm)],[c_101095]) ).
cnf(c_144248,plain,
( ~ sum(additive_identity,u,additive_identity)
| ~ sum(additive_identity,u,u)
| sum(u,u,additive_identity)
| ~ sum(u,u,u) ),
inference(instantiation,[status(thm)],[c_144246]) ).
cnf(c_101093,plain,
( sum(u,u,X0)
| ~ sum(u,X1,u)
| ~ sum(u,X2,X0)
| ~ sum(X1,u,X2) ),
inference(instantiation,[status(thm)],[c_63654]) ).
cnf(c_144202,plain,
( sum(u,u,u)
| ~ sum(u,X0,u)
| ~ sum(u,X1,u)
| ~ sum(X0,u,X1) ),
inference(instantiation,[status(thm)],[c_101093]) ).
cnf(c_144203,plain,
( ~ sum(additive_identity,u,additive_identity)
| ~ sum(u,additive_identity,u)
| sum(u,u,u) ),
inference(instantiation,[status(thm)],[c_144202]) ).
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_3aa395.p',c_0_104_4) ).
cnf(c_221,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_23618,plain,
( ~ sum(X0,u,X1)
| ~ sum(X2,a,X3)
| ~ product(a,b,u)
| product(X3,b,X1)
| ~ product(X2,b,X0) ),
inference(instantiation,[status(thm)],[c_221]) ).
cnf(c_62015,plain,
( ~ sum(X0,u,X1)
| ~ sum(X2,a,add(X2,a))
| product(add(X2,a),b,X1)
| ~ product(a,b,u)
| ~ product(X2,b,X0) ),
inference(instantiation,[status(thm)],[c_23618]) ).
cnf(c_100798,plain,
( ~ sum(u,u,X0)
| ~ sum(a,a,add(a,a))
| product(add(a,a),b,X0)
| ~ product(a,b,u) ),
inference(instantiation,[status(thm)],[c_62015]) ).
cnf(c_143030,plain,
( ~ sum(u,u,u)
| ~ sum(a,a,add(a,a))
| product(add(a,a),b,u)
| ~ product(a,b,u) ),
inference(instantiation,[status(thm)],[c_100798]) ).
cnf(c_100799,plain,
( ~ sum(u,u,additive_identity)
| ~ sum(a,a,add(a,a))
| product(add(a,a),b,additive_identity)
| ~ product(a,b,u) ),
inference(instantiation,[status(thm)],[c_100798]) ).
cnf(c_29,plain,
( ~ defined(X0)
| ~ defined(X1)
| sum(X0,X1,add(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_117_0) ).
cnf(c_178,plain,
( ~ defined(X0)
| ~ defined(X1)
| sum(X0,X1,add(X0,X1)) ),
inference(copy,[status(esa)],[c_29]) ).
cnf(c_21509,plain,
( ~ defined(a)
| ~ defined(X0)
| sum(X0,a,add(X0,a)) ),
inference(instantiation,[status(thm)],[c_178]) ).
cnf(c_95438,plain,
( ~ defined(a)
| sum(a,a,add(a,a)) ),
inference(instantiation,[status(thm)],[c_21509]) ).
cnf(c_46,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_111_0) ).
cnf(c_195,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
inference(copy,[status(esa)],[c_46]) ).
cnf(c_65229,plain,
( ~ product(multiplicative_inverse(u),u,multiplicative_identity)
| product(u,multiplicative_inverse(u),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_43,plain,
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_112_1) ).
cnf(c_192,plain,
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
inference(copy,[status(esa)],[c_43]) ).
cnf(c_61897,plain,
( sum(u,X0,X1)
| ~ sum(X0,u,X1) ),
inference(instantiation,[status(thm)],[c_192]) ).
cnf(c_65217,plain,
( ~ sum(additive_identity,u,u)
| sum(u,additive_identity,u) ),
inference(instantiation,[status(thm)],[c_61897]) ).
cnf(c_61871,plain,
( sum(v,X0,X1)
| ~ sum(X0,v,X1) ),
inference(instantiation,[status(thm)],[c_192]) ).
cnf(c_65176,plain,
( ~ sum(additive_inverse(v),v,additive_identity)
| sum(v,additive_inverse(v),additive_identity) ),
inference(instantiation,[status(thm)],[c_61871]) ).
cnf(c_21305,plain,
( ~ product(multiplicative_identity,X0,X0)
| ~ product(multiplicative_identity,X1,X2)
| product(X2,X3,X0)
| ~ product(X1,X3,X0) ),
inference(instantiation,[status(thm)],[c_212]) ).
cnf(c_64118,plain,
( ~ product(multiplicative_identity,u,X0)
| ~ product(multiplicative_identity,b,b)
| ~ product(u,multiplicative_inverse(a),b)
| product(X0,multiplicative_inverse(a),b) ),
inference(instantiation,[status(thm)],[c_21305]) ).
cnf(c_64119,plain,
( product(additive_identity,multiplicative_inverse(a),b)
| ~ product(multiplicative_identity,u,additive_identity)
| ~ product(multiplicative_identity,b,b)
| ~ product(u,multiplicative_inverse(a),b) ),
inference(instantiation,[status(thm)],[c_64118]) ).
cnf(c_19,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_122_0) ).
cnf(c_168,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(copy,[status(esa)],[c_19]) ).
cnf(c_63341,plain,
( ~ defined(multiplicative_inverse(b))
| sum(additive_identity,multiplicative_inverse(b),multiplicative_inverse(b)) ),
inference(instantiation,[status(thm)],[c_168]) ).
cnf(c_45,plain,
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_111_1) ).
cnf(c_194,plain,
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
inference(copy,[status(esa)],[c_45]) ).
cnf(c_21250,plain,
( ~ product(multiplicative_identity,X0,X0)
| product(X0,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_194]) ).
cnf(c_61549,plain,
( ~ product(multiplicative_identity,v,v)
| product(v,multiplicative_identity,v) ),
inference(instantiation,[status(thm)],[c_21250]) ).
cnf(c_66,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_106_0) ).
cnf(c_215,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
inference(copy,[status(esa)],[c_66]) ).
cnf(c_21396,plain,
( ~ product(multiplicative_inverse(b),multiplicative_inverse(a),v)
| ~ product(multiplicative_inverse(b),X0,X1)
| ~ product(multiplicative_inverse(a),X2,X0)
| product(v,X2,X1) ),
inference(instantiation,[status(thm)],[c_215]) ).
cnf(c_22453,plain,
( ~ product(multiplicative_inverse(b),multiplicative_inverse(a),v)
| ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(multiplicative_inverse(a),X0,b)
| product(v,X0,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_21396]) ).
cnf(c_60991,plain,
( ~ product(multiplicative_inverse(b),multiplicative_inverse(a),v)
| ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(multiplicative_inverse(a),u,b)
| product(v,u,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_22453]) ).
cnf(c_60975,plain,
( ~ product(multiplicative_inverse(a),u,b)
| product(u,multiplicative_inverse(a),b) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_38,plain,
( ~ defined(X0)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_114_0) ).
cnf(c_187,plain,
( ~ defined(X0)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
inference(copy,[status(esa)],[c_38]) ).
cnf(c_60827,plain,
( ~ defined(u)
| sum(additive_identity,u,additive_identity)
| product(multiplicative_inverse(u),u,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_187]) ).
cnf(c_60821,plain,
( ~ defined(u)
| sum(additive_identity,u,u) ),
inference(instantiation,[status(thm)],[c_168]) ).
cnf(c_23,plain,
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_120_0) ).
cnf(c_172,plain,
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
inference(copy,[status(esa)],[c_23]) ).
cnf(c_60781,plain,
( ~ defined(v)
| sum(additive_inverse(v),v,additive_identity) ),
inference(instantiation,[status(thm)],[c_172]) ).
cnf(c_62,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_107_0) ).
cnf(c_211,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
inference(copy,[status(esa)],[c_62]) ).
cnf(c_21343,plain,
( ~ product(multiplicative_identity,X0,X1)
| ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| product(multiplicative_inverse(a),X2,X1)
| ~ product(a,X0,X2) ),
inference(instantiation,[status(thm)],[c_211]) ).
cnf(c_22323,plain,
( ~ product(multiplicative_identity,b,X0)
| product(multiplicative_inverse(a),u,X0)
| ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(a,b,u) ),
inference(instantiation,[status(thm)],[c_21343]) ).
cnf(c_22665,plain,
( ~ product(multiplicative_identity,b,b)
| product(multiplicative_inverse(a),u,b)
| ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(a,b,u) ),
inference(instantiation,[status(thm)],[c_22323]) ).
cnf(c_170,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
inference(copy,[status(esa)],[c_21]) ).
cnf(c_21927,plain,
( ~ defined(multiplicative_inverse(a))
| product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(a)) ),
inference(instantiation,[status(thm)],[c_170]) ).
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_3aa395.p',c_0_107_3) ).
cnf(c_208,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_21287,plain,
( ~ product(multiplicative_inverse(a),multiplicative_inverse(b),v)
| ~ product(X0,multiplicative_inverse(b),X1)
| ~ product(X2,X0,multiplicative_inverse(a))
| product(X2,X1,v) ),
inference(instantiation,[status(thm)],[c_208]) ).
cnf(c_21548,plain,
( ~ product(multiplicative_inverse(a),multiplicative_inverse(b),v)
| ~ product(X0,multiplicative_inverse(a),multiplicative_inverse(a))
| product(X0,v,v) ),
inference(instantiation,[status(thm)],[c_21287]) ).
cnf(c_21926,plain,
( ~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(a))
| product(multiplicative_identity,v,v)
| ~ product(multiplicative_inverse(a),multiplicative_inverse(b),v) ),
inference(instantiation,[status(thm)],[c_21548]) ).
cnf(c_21551,plain,
( ~ defined(b)
| product(multiplicative_identity,b,b) ),
inference(instantiation,[status(thm)],[c_170]) ).
cnf(c_21253,plain,
( product(multiplicative_inverse(b),multiplicative_inverse(a),v)
| ~ product(multiplicative_inverse(a),multiplicative_inverse(b),v) ),
inference(instantiation,[status(thm)],[c_194]) ).
cnf(c_21245,plain,
( sum(additive_identity,b,additive_identity)
| ~ sum(b,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_192]) ).
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_3aa395.p',c_0_114_2) ).
cnf(c_185,plain,
( sum(additive_identity,X0,additive_identity)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| ~ defined(X0) ),
inference(copy,[status(esa)],[c_36]) ).
cnf(c_21230,plain,
( ~ defined(a)
| sum(additive_identity,a,additive_identity)
| product(multiplicative_inverse(a),a,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_185]) ).
cnf(c_21229,plain,
( ~ defined(b)
| sum(additive_identity,b,additive_identity)
| product(multiplicative_inverse(b),b,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_185]) ).
cnf(c_24,plain,
( sum(additive_identity,X0,additive_identity)
| defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_119_2) ).
cnf(c_173,plain,
( sum(additive_identity,X0,additive_identity)
| defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
inference(copy,[status(esa)],[c_24]) ).
cnf(c_21224,plain,
( defined(multiplicative_inverse(a))
| ~ defined(a)
| sum(additive_identity,a,additive_identity) ),
inference(instantiation,[status(thm)],[c_173]) ).
cnf(c_21223,plain,
( defined(multiplicative_inverse(b))
| ~ defined(b)
| sum(additive_identity,b,additive_identity) ),
inference(instantiation,[status(thm)],[c_173]) ).
cnf(c_82,plain,
defined(v),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_41) ).
cnf(c_83,plain,
defined(u),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_42) ).
cnf(c_84,plain,
defined(b),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_43) ).
cnf(c_85,plain,
defined(a),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_44) ).
cnf(c_77,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(u),v),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_36) ).
cnf(c_78,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_37) ).
cnf(c_79,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_38) ).
cnf(c_80,negated_conjecture,
product(multiplicative_inverse(a),multiplicative_inverse(b),v),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_39) ).
cnf(c_81,negated_conjecture,
product(a,b,u),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p',c_0_40) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_837009,c_686824,c_686695,c_517550,c_517397,c_379981,c_144248,c_144203,c_143030,c_100799,c_95438,c_65229,c_65217,c_65176,c_64119,c_63341,c_61549,c_60991,c_60975,c_60827,c_60821,c_60781,c_22665,c_21927,c_21926,c_21551,c_21253,c_21245,c_21230,c_21229,c_21224,c_21223,c_82,c_83,c_84,c_85,c_77,c_78,c_79,c_80,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD012-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 6 20:54:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.21/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.42 % Orientation found
% 0.21/0.42 % 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_2ba72f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_ca429d | grep -v "SZS"
% 0.21/0.44
% 0.21/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ iProver source info
% 0.21/0.44
% 0.21/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.44 % git: non_committed_changes: true
% 0.21/0.44 % git: last_make_outside_of_git: true
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ Input Options
% 0.21/0.44
% 0.21/0.44 % --out_options all
% 0.21/0.44 % --tptp_safe_out true
% 0.21/0.44 % --problem_path ""
% 0.21/0.44 % --include_path ""
% 0.21/0.44 % --clausifier .//eprover
% 0.21/0.44 % --clausifier_options --tstp-format
% 0.21/0.44 % --stdin false
% 0.21/0.44 % --dbg_backtrace false
% 0.21/0.44 % --dbg_dump_prop_clauses false
% 0.21/0.44 % --dbg_dump_prop_clauses_file -
% 0.21/0.44 % --dbg_out_stat false
% 0.21/0.44
% 0.21/0.44 % ------ General Options
% 0.21/0.44
% 0.21/0.44 % --fof false
% 0.21/0.44 % --time_out_real 150.
% 0.21/0.44 % --time_out_prep_mult 0.2
% 0.21/0.44 % --time_out_virtual -1.
% 0.21/0.44 % --schedule none
% 0.21/0.44 % --ground_splitting input
% 0.21/0.44 % --splitting_nvd 16
% 0.21/0.44 % --non_eq_to_eq false
% 0.21/0.44 % --prep_gs_sim true
% 0.21/0.44 % --prep_unflatten false
% 0.21/0.44 % --prep_res_sim true
% 0.21/0.44 % --prep_upred true
% 0.21/0.44 % --res_sim_input true
% 0.21/0.44 % --clause_weak_htbl true
% 0.21/0.44 % --gc_record_bc_elim false
% 0.21/0.44 % --symbol_type_check false
% 0.21/0.44 % --clausify_out false
% 0.21/0.44 % --large_theory_mode false
% 0.21/0.44 % --prep_sem_filter none
% 0.21/0.44 % --prep_sem_filter_out false
% 0.21/0.44 % --preprocessed_out false
% 0.21/0.44 % --sub_typing false
% 0.21/0.44 % --brand_transform false
% 0.21/0.44 % --pure_diseq_elim true
% 0.21/0.44 % --min_unsat_core false
% 0.21/0.44 % --pred_elim true
% 0.21/0.44 % --add_important_lit false
% 0.21/0.44 % --soft_assumptions false
% 0.21/0.44 % --reset_solvers false
% 0.21/0.44 % --bc_imp_inh []
% 0.21/0.44 % --conj_cone_tolerance 1.5
% 0.21/0.44 % --prolific_symb_bound 500
% 0.21/0.44 % --lt_threshold 2000
% 0.21/0.44
% 0.21/0.44 % ------ SAT Options
% 0.21/0.44
% 0.21/0.44 % --sat_mode false
% 0.21/0.44 % --sat_fm_restart_options ""
% 0.21/0.44 % --sat_gr_def false
% 0.21/0.44 % --sat_epr_types true
% 0.21/0.44 % --sat_non_cyclic_types false
% 0.21/0.44 % --sat_finite_models false
% 0.21/0.44 % --sat_fm_lemmas false
% 0.21/0.44 % --sat_fm_prep false
% 0.21/0.44 % --sat_fm_uc_incr true
% 0.21/0.44 % --sat_out_model small
% 0.21/0.44 % --sat_out_clauses false
% 0.21/0.44
% 0.21/0.44 % ------ QBF Options
% 0.21/0.44
% 0.21/0.44 % --qbf_mode false
% 0.21/0.44 % --qbf_elim_univ true
% 0.21/0.44 % --qbf_sk_in true
% 0.21/0.44 % --qbf_pred_elim true
% 0.21/0.44 % --qbf_split 32
% 0.21/0.44
% 0.21/0.44 % ------ BMC1 Options
% 0.21/0.44
% 0.21/0.44 % --bmc1_incremental false
% 0.21/0.44 % --bmc1_axioms reachable_all
% 0.21/0.44 % --bmc1_min_bound 0
% 0.21/0.44 % --bmc1_max_bound -1
% 0.21/0.44 % --bmc1_max_bound_default -1
% 0.21/0.44 % --bmc1_symbol_reachability true
% 0.21/0.44 % --bmc1_property_lemmas false
% 0.21/0.44 % --bmc1_k_induction false
% 0.21/0.44 % --bmc1_non_equiv_states false
% 0.21/0.44 % --bmc1_deadlock false
% 0.21/0.44 % --bmc1_ucm false
% 0.21/0.44 % --bmc1_add_unsat_core none
% 0.21/0.44 % --bmc1_unsat_core_children false
% 0.21/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.44 % --bmc1_out_stat full
% 0.21/0.44 % --bmc1_ground_init false
% 0.21/0.44 % --bmc1_pre_inst_next_state false
% 0.21/0.44 % --bmc1_pre_inst_state false
% 0.21/0.44 % --bmc1_pre_inst_reach_state false
% 0.21/0.44 % --bmc1_out_unsat_core false
% 0.21/0.44 % --bmc1_aig_witness_out false
% 0.21/0.44 % --bmc1_verbose false
% 0.21/0.44 % --bmc1_dump_clauses_tptp false
% 0.21/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.45 % --bmc1_dump_file -
% 0.21/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.45 % --bmc1_ucm_extend_mode 1
% 0.21/0.45 % --bmc1_ucm_init_mode 2
% 0.21/0.45 % --bmc1_ucm_cone_mode none
% 0.21/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.45 % --bmc1_ucm_relax_model 4
% 0.21/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.45 % --bmc1_ucm_layered_model none
% 0.21/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.45
% 0.21/0.45 % ------ AIG Options
% 0.21/0.45
% 0.21/0.45 % --aig_mode false
% 0.21/0.45
% 0.21/0.45 % ------ Instantiation Options
% 0.21/0.45
% 0.21/0.45 % --instantiation_flag true
% 0.21/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45 % --inst_solver_per_active 750
% 0.21/0.45 % --inst_solver_calls_frac 0.5
% 0.21/0.45 % --inst_passive_queue_type priority_queues
% 0.21/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45 % --inst_passive_queues_freq [25;2]
% 0.21/0.45 % --inst_dismatching true
% 0.21/0.45 % --inst_eager_unprocessed_to_passive true
% 0.21/0.45 % --inst_prop_sim_given true
% 0.21/0.45 % --inst_prop_sim_new false
% 0.21/0.45 % --inst_orphan_elimination true
% 0.21/0.45 % --inst_learning_loop_flag true
% 0.21/0.45 % --inst_learning_start 3000
% 0.21/0.45 % --inst_learning_factor 2
% 0.21/0.45 % --inst_start_prop_sim_after_learn 3
% 0.21/0.45 % --inst_sel_renew solver
% 0.21/0.45 % --inst_lit_activity_flag true
% 0.21/0.45 % --inst_out_proof true
% 0.21/0.45
% 0.21/0.45 % ------ Resolution Options
% 0.21/0.45
% 0.21/0.45 % --resolution_flag true
% 0.21/0.45 % --res_lit_sel kbo_max
% 0.21/0.45 % --res_to_prop_solver none
% 0.21/0.45 % --res_prop_simpl_new false
% 0.21/0.45 % --res_prop_simpl_given false
% 0.21/0.45 % --res_passive_queue_type priority_queues
% 0.21/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.45 % --res_passive_queues_freq [15;5]
% 0.21/0.45 % --res_forward_subs full
% 0.21/0.45 % --res_backward_subs full
% 0.21/0.45 % --res_forward_subs_resolution true
% 0.21/0.45 % --res_backward_subs_resolution true
% 0.21/0.45 % --res_orphan_elimination false
% 0.21/0.45 % --res_time_limit 1000.
% 0.21/0.45 % --res_out_proof true
% 0.21/0.45 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2ba72f.s
% 0.21/0.45 % --modulo true
% 0.21/0.45
% 0.21/0.45 % ------ Combination Options
% 0.21/0.45
% 0.21/0.45 % --comb_res_mult 1000
% 0.21/0.45 % --comb_inst_mult 300
% 0.21/0.45 % ------
% 0.21/0.45
% 0.21/0.45 % ------ Parsing...% successful
% 0.21/0.45
% 0.21/0.45 % ------ 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 %
% 0.21/0.45
% 0.21/0.45 % ------ Proving...
% 0.21/0.45 % ------ Problem Properties
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % EPR false
% 0.21/0.45 % Horn false
% 0.21/0.45 % Has equality false
% 0.21/0.45
% 0.21/0.45 % % ------ Input Options Time Limit: Unbounded
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % % ------ Current options:
% 0.21/0.45
% 0.21/0.45 % ------ Input Options
% 0.21/0.45
% 0.21/0.45 % --out_options all
% 0.21/0.45 % --tptp_safe_out true
% 0.21/0.45 % --problem_path ""
% 0.21/0.45 % --include_path ""
% 0.21/0.45 % --clausifier .//eprover
% 0.21/0.45 % --clausifier_options --tstp-format
% 0.21/0.45 % --stdin false
% 0.21/0.45 % --dbg_backtrace false
% 0.21/0.45 % --dbg_dump_prop_clauses false
% 0.21/0.45 % --dbg_dump_prop_clauses_file -
% 0.21/0.45 % --dbg_out_stat false
% 0.21/0.45
% 0.21/0.45 % ------ General Options
% 0.21/0.45
% 0.21/0.45 % --fof false
% 0.21/0.45 % --time_out_real 150.
% 0.21/0.45 % --time_out_prep_mult 0.2
% 0.21/0.45 % --time_out_virtual -1.
% 0.21/0.45 % --schedule none
% 0.21/0.45 % --ground_splitting input
% 0.21/0.45 % --splitting_nvd 16
% 0.21/0.45 % --non_eq_to_eq false
% 0.21/0.45 % --prep_gs_sim true
% 0.21/0.45 % --prep_unflatten false
% 0.21/0.45 % --prep_res_sim true
% 0.21/0.45 % --prep_upred true
% 0.21/0.45 % --res_sim_input true
% 0.21/0.45 % --clause_weak_htbl true
% 0.21/0.45 % --gc_record_bc_elim false
% 0.21/0.45 % --symbol_type_check false
% 0.21/0.45 % --clausify_out false
% 0.21/0.45 % --large_theory_mode false
% 0.21/0.45 % --prep_sem_filter none
% 0.21/0.45 % --prep_sem_filter_out false
% 0.21/0.45 % --preprocessed_out false
% 0.21/0.45 % --sub_typing false
% 0.21/0.45 % --brand_transform false
% 0.21/0.45 % --pure_diseq_elim true
% 0.21/0.45 % --min_unsat_core false
% 0.21/0.45 % --pred_elim true
% 0.21/0.45 % --add_important_lit false
% 0.21/0.45 % --soft_assumptions false
% 0.21/0.45 % --reset_solvers false
% 0.21/0.45 % --bc_imp_inh []
% 0.21/0.45 % --conj_cone_tolerance 1.5
% 0.21/0.45 % --prolific_symb_bound 500
% 0.21/0.45 % --lt_threshold 2000
% 0.21/0.45
% 0.21/0.45 % ------ SAT Options
% 0.21/0.45
% 0.21/0.45 % --sat_mode false
% 0.21/0.45 % --sat_fm_restart_options ""
% 0.21/0.45 % --sat_gr_def false
% 0.21/0.45 % --sat_epr_types true
% 0.21/0.45 % --sat_non_cyclic_types false
% 0.21/0.45 % --sat_finite_models false
% 0.21/0.45 % --sat_fm_lemmas false
% 0.21/0.45 % --sat_fm_prep false
% 0.21/0.45 % --sat_fm_uc_incr true
% 0.21/0.45 % --sat_out_model small
% 0.21/0.45 % --sat_out_clauses false
% 0.21/0.45
% 0.21/0.45 % ------ QBF Options
% 0.21/0.45
% 0.21/0.45 % --qbf_mode false
% 0.21/0.45 % --qbf_elim_univ true
% 0.21/0.45 % --qbf_sk_in true
% 0.21/0.45 % --qbf_pred_elim true
% 0.21/0.45 % --qbf_split 32
% 0.21/0.45
% 0.21/0.45 % ------ BMC1 Options
% 0.21/0.45
% 0.21/0.45 % --bmc1_incremental false
% 0.21/0.45 % --bmc1_axioms reachable_all
% 0.21/0.45 % --bmc1_min_bound 0
% 0.21/0.45 % --bmc1_max_bound -1
% 0.21/0.45 % --bmc1_max_bound_default -1
% 0.21/0.45 % --bmc1_symbol_reachability true
% 0.21/0.45 % --bmc1_property_lemmas false
% 0.21/0.45 % --bmc1_k_induction false
% 0.21/0.45 % --bmc1_non_equiv_states false
% 0.21/0.45 % --bmc1_deadlock false
% 0.21/0.45 % --bmc1_ucm false
% 0.21/0.45 % --bmc1_add_unsat_core none
% 0.21/0.45 % --bmc1_unsat_core_children false
% 0.21/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.45 % --bmc1_out_stat full
% 0.21/0.45 % --bmc1_ground_init false
% 0.21/0.45 % --bmc1_pre_inst_next_state false
% 0.21/0.45 % --bmc1_pre_inst_state false
% 0.21/0.45 % --bmc1_pre_inst_reach_state false
% 0.21/0.45 % --bmc1_out_unsat_core false
% 0.21/0.45 % --bmc1_aig_witness_out false
% 0.21/0.45 % --bmc1_verbose false
% 0.21/0.45 % --bmc1_dump_clauses_tptp false
% 0.21/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.45 % --bmc1_dump_file -
% 0.21/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.45 % --bmc1_ucm_extend_mode 1
% 0.21/0.45 % --bmc1_ucm_init_mode 2
% 0.21/0.45 % --bmc1_ucm_cone_mode none
% 0.21/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.45 % --bmc1_ucm_relax_model 4
% 0.21/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.45 % --bmc1_ucm_layered_model none
% 0.21/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.45
% 0.21/0.45 % ------ AIG Options
% 0.21/0.45
% 0.21/0.45 % --aig_mode false
% 0.21/0.45
% 0.21/0.45 % ------ Instantiation Options
% 0.21/0.45
% 0.21/0.45 % --instantiation_flag true
% 0.21/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45 % --inst_solver_per_active 750
% 0.21/0.45 % --inst_solver_calls_frac 0.5
% 0.21/0.45 % --inst_passive_queue_type priority_queues
% 0.21/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45 % --inst_passive_queues_freq [25;2]
% 0.21/0.45 % --inst_dismatching true
% 0.21/0.45 % --inst_eager_unprocessed_to_passive true
% 0.21/0.45 % --inst_prop_sim_given true
% 150.02/150.44 % --inst_prop_sim_new false
% 150.02/150.44 % --inst_orphan_elimination true
% 150.02/150.44 % --inst_learning_loop_flag true
% 150.02/150.44 % --inst_learning_start 3000
% 150.02/150.44 % --inst_learning_factor 2
% 150.02/150.44 % --inst_start_prop_sim_after_learn 3
% 150.02/150.44 % --inst_sel_renew solver
% 150.02/150.44 % --inst_lit_activity_flag true
% 150.02/150.44 % --inst_out_proof true
% 150.02/150.44
% 150.02/150.44 % ------ Resolution Options
% 150.02/150.44
% 150.02/150.44 % --resolution_flag true
% 150.02/150.44 % --res_lit_sel kbo_max
% 150.02/150.44 % --res_to_prop_solver none
% 150.02/150.44 % --res_prop_simpl_new false
% 150.02/150.44 % --res_prop_simpl_given false
% 150.02/150.44 % --res_passive_queue_type priority_queues
% 150.02/150.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.02/150.44 % --res_passive_queues_freq [15;5]
% 150.02/150.44 % --res_forward_subs full
% 150.02/150.44 % --res_backward_subs full
% 150.02/150.44 % --res_forward_subs_resolution true
% 150.02/150.44 % --res_backward_subs_resolution true
% 150.02/150.44 % --res_orphan_elimination false
% 150.02/150.44 % --res_time_limit 1000.
% 150.02/150.44 % --res_out_proof true
% 150.02/150.44 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2ba72f.s
% 150.02/150.44 % --modulo true
% 150.02/150.44
% 150.02/150.44 % ------ Combination Options
% 150.02/150.44
% 150.02/150.44 % --comb_res_mult 1000
% 150.02/150.44 % --comb_inst_mult 300
% 150.02/150.44 % ------
% 150.02/150.44
% 150.02/150.44
% 150.02/150.44
% 150.02/150.44 % ------ Proving...
% 150.02/150.44 %
% 150.02/150.44
% 150.02/150.44
% 150.02/150.44 % Time Out Real
% 150.02/150.44
% 150.02/150.44 % ------ Statistics
% 150.02/150.44
% 150.02/150.44 % ------ General
% 150.02/150.44
% 150.02/150.44 % num_of_input_clauses: 86
% 150.02/150.44 % num_of_input_neg_conjectures: 5
% 150.02/150.44 % num_of_splits: 0
% 150.02/150.44 % num_of_split_atoms: 0
% 150.02/150.44 % num_of_sem_filtered_clauses: 0
% 150.02/150.44 % num_of_subtypes: 0
% 150.02/150.44 % monotx_restored_types: 0
% 150.02/150.44 % sat_num_of_epr_types: 0
% 150.02/150.44 % sat_num_of_non_cyclic_types: 0
% 150.02/150.44 % sat_guarded_non_collapsed_types: 0
% 150.02/150.44 % is_epr: 0
% 150.02/150.44 % is_horn: 0
% 150.02/150.44 % has_eq: 0
% 150.02/150.44 % num_pure_diseq_elim: 0
% 150.02/150.44 % simp_replaced_by: 0
% 150.02/150.44 % res_preprocessed: 14
% 150.02/150.44 % prep_upred: 0
% 150.02/150.44 % prep_unflattend: 0
% 150.02/150.44 % pred_elim_cands: 1
% 150.02/150.44 % pred_elim: 1
% 150.02/150.44 % pred_elim_cl: 4
% 150.02/150.44 % pred_elim_cycles: 2
% 150.02/150.44 % forced_gc_time: 0
% 150.02/150.44 % gc_basic_clause_elim: 0
% 150.02/150.44 % parsing_time: 0.004
% 150.02/150.44 % sem_filter_time: 0.
% 150.02/150.44 % pred_elim_time: 0.
% 150.02/150.44 % out_proof_time: 0.
% 150.02/150.44 % monotx_time: 0.
% 150.02/150.44 % subtype_inf_time: 0.
% 150.02/150.44 % unif_index_cands_time: 0.448
% 150.02/150.44 % unif_index_add_time: 0.038
% 150.02/150.44 % total_time: 150.018
% 150.02/150.44 % num_of_symbols: 39
% 150.02/150.44 % num_of_terms: 206154
% 150.02/150.44
% 150.02/150.44 % ------ Propositional Solver
% 150.02/150.44
% 150.02/150.44 % prop_solver_calls: 15
% 150.02/150.44 % prop_fast_solver_calls: 23
% 150.02/150.44 % prop_num_of_clauses: 14216
% 150.02/150.44 % prop_preprocess_simplified: 18488
% 150.02/150.44 % prop_fo_subsumed: 0
% 150.02/150.44 % prop_solver_time: 0.004
% 150.02/150.44 % prop_fast_solver_time: 0.
% 150.02/150.44 % prop_unsat_core_time: 0.
% 150.02/150.44
% 150.02/150.44 % ------ QBF
% 150.02/150.44
% 150.02/150.44 % qbf_q_res: 0
% 150.02/150.44 % qbf_num_tautologies: 0
% 150.02/150.44 % qbf_prep_cycles: 0
% 150.02/150.44
% 150.02/150.44 % ------ BMC1
% 150.02/150.44
% 150.02/150.44 % bmc1_current_bound: -1
% 150.02/150.44 % bmc1_last_solved_bound: -1
% 150.02/150.44 % bmc1_unsat_core_size: -1
% 150.02/150.44 % bmc1_unsat_core_parents_size: -1
% 150.02/150.44 % bmc1_merge_next_fun: 0
% 150.02/150.44 % bmc1_unsat_core_clauses_time: 0.
% 150.02/150.44
% 150.02/150.44 % ------ Instantiation
% 150.02/150.44
% 150.02/150.44 % inst_num_of_clauses: 9398
% 150.02/150.44 % inst_num_in_passive: 6100
% 150.02/150.44 % inst_num_in_active: 2140
% 150.02/150.44 % inst_num_in_unprocessed: 1116
% 150.02/150.44 % inst_num_of_loops: 2400
% 150.02/150.46 % inst_num_of_learning_restarts: 0
% 150.02/150.46 % inst_num_moves_active_passive: 217
% 150.02/150.46 % inst_lit_activity: 628
% 150.02/150.46 % inst_lit_activity_moves: 1
% 150.02/150.46 % inst_num_tautologies: 42
% 150.02/150.46 % inst_num_prop_implied: 0
% 150.02/150.46 % inst_num_existing_simplified: 0
% 150.02/150.46 % inst_num_eq_res_simplified: 0
% 150.02/150.46 % inst_num_child_elim: 0
% 150.02/150.46 % inst_num_of_dismatching_blockings: 29919
% 150.02/150.46 % inst_num_of_non_proper_insts: 33012
% 150.02/150.46 % inst_num_of_duplicates: 24790
% 150.02/150.46 % inst_inst_num_from_inst_to_res: 0
% 150.02/150.46 % inst_dismatching_checking_time: 0.183
% 150.02/150.46
% 150.02/150.46 % ------ Resolution
% 150.02/150.46
% 150.02/150.46 % res_num_of_clauses: 2323297
% 150.02/150.46 % res_num_in_passive: 2316547
% 150.02/150.46 % res_num_in_active: 8529
% 150.02/150.46 % res_num_of_loops: 8851
% 150.02/150.46 % res_forward_subset_subsumed: 31816
% 150.02/150.46 % res_backward_subset_subsumed: 1827
% 150.02/150.46 % res_forward_subsumed: 294
% 150.02/150.46 % res_backward_subsumed: 50
% 150.02/150.46 % res_forward_subsumption_resolution: 194
% 150.02/150.46 % res_backward_subsumption_resolution: 0
% 150.02/150.46 % res_clause_to_clause_subsumption: 1699033
% 150.02/150.46 % res_orphan_elimination: 0
% 150.02/150.46 % res_tautology_del: 5074
% 150.02/150.46 % res_num_eq_res_simplified: 0
% 150.02/150.46 % res_num_sel_changes: 0
% 150.02/150.46 % res_moves_from_active_to_pass: 0
% 150.02/150.46
% 150.02/150.46 % Status Unknown
% 150.06/150.51 % Orienting using strategy ClausalAll
% 150.06/150.51 % Orientation found
% 150.06/150.51 % 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_2ba72f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_3aa395.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_ecf127 | grep -v "SZS"
% 150.06/150.53
% 150.06/150.53 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.06/150.53
% 150.06/150.53 %
% 150.06/150.53 % ------ iProver source info
% 150.06/150.53
% 150.06/150.53 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.06/150.53 % git: non_committed_changes: true
% 150.06/150.53 % git: last_make_outside_of_git: true
% 150.06/150.53
% 150.06/150.53 %
% 150.06/150.53 % ------ Input Options
% 150.06/150.53
% 150.06/150.53 % --out_options all
% 150.06/150.53 % --tptp_safe_out true
% 150.06/150.53 % --problem_path ""
% 150.06/150.53 % --include_path ""
% 150.06/150.53 % --clausifier .//eprover
% 150.06/150.53 % --clausifier_options --tstp-format
% 150.06/150.53 % --stdin false
% 150.06/150.53 % --dbg_backtrace false
% 150.06/150.53 % --dbg_dump_prop_clauses false
% 150.06/150.53 % --dbg_dump_prop_clauses_file -
% 150.06/150.53 % --dbg_out_stat false
% 150.06/150.53
% 150.06/150.53 % ------ General Options
% 150.06/150.53
% 150.06/150.53 % --fof false
% 150.06/150.53 % --time_out_real 150.
% 150.06/150.53 % --time_out_prep_mult 0.2
% 150.06/150.53 % --time_out_virtual -1.
% 150.06/150.53 % --schedule none
% 150.06/150.53 % --ground_splitting input
% 150.06/150.53 % --splitting_nvd 16
% 150.06/150.53 % --non_eq_to_eq false
% 150.06/150.53 % --prep_gs_sim true
% 150.06/150.53 % --prep_unflatten false
% 150.06/150.53 % --prep_res_sim true
% 150.06/150.53 % --prep_upred true
% 150.06/150.53 % --res_sim_input true
% 150.06/150.53 % --clause_weak_htbl true
% 150.06/150.53 % --gc_record_bc_elim false
% 150.06/150.53 % --symbol_type_check false
% 150.06/150.53 % --clausify_out false
% 150.06/150.53 % --large_theory_mode false
% 150.06/150.53 % --prep_sem_filter none
% 150.06/150.53 % --prep_sem_filter_out false
% 150.06/150.53 % --preprocessed_out false
% 150.06/150.53 % --sub_typing false
% 150.06/150.53 % --brand_transform false
% 150.06/150.53 % --pure_diseq_elim true
% 150.06/150.53 % --min_unsat_core false
% 150.06/150.53 % --pred_elim true
% 150.06/150.53 % --add_important_lit false
% 150.06/150.53 % --soft_assumptions false
% 150.06/150.53 % --reset_solvers false
% 150.06/150.53 % --bc_imp_inh []
% 150.06/150.53 % --conj_cone_tolerance 1.5
% 150.06/150.53 % --prolific_symb_bound 500
% 150.06/150.53 % --lt_threshold 2000
% 150.06/150.53
% 150.06/150.53 % ------ SAT Options
% 150.06/150.53
% 150.06/150.53 % --sat_mode false
% 150.06/150.53 % --sat_fm_restart_options ""
% 150.06/150.53 % --sat_gr_def false
% 150.06/150.53 % --sat_epr_types true
% 150.06/150.53 % --sat_non_cyclic_types false
% 150.06/150.53 % --sat_finite_models false
% 150.06/150.53 % --sat_fm_lemmas false
% 150.06/150.53 % --sat_fm_prep false
% 150.06/150.53 % --sat_fm_uc_incr true
% 150.06/150.53 % --sat_out_model small
% 150.06/150.53 % --sat_out_clauses false
% 150.06/150.53
% 150.06/150.53 % ------ QBF Options
% 150.06/150.53
% 150.06/150.53 % --qbf_mode false
% 150.06/150.53 % --qbf_elim_univ true
% 150.06/150.53 % --qbf_sk_in true
% 150.06/150.53 % --qbf_pred_elim true
% 150.06/150.53 % --qbf_split 32
% 150.06/150.53
% 150.06/150.53 % ------ BMC1 Options
% 150.06/150.53
% 150.06/150.53 % --bmc1_incremental false
% 150.06/150.53 % --bmc1_axioms reachable_all
% 150.06/150.53 % --bmc1_min_bound 0
% 150.06/150.53 % --bmc1_max_bound -1
% 150.06/150.53 % --bmc1_max_bound_default -1
% 150.06/150.53 % --bmc1_symbol_reachability true
% 150.06/150.53 % --bmc1_property_lemmas false
% 150.06/150.53 % --bmc1_k_induction false
% 150.06/150.53 % --bmc1_non_equiv_states false
% 150.06/150.53 % --bmc1_deadlock false
% 150.06/150.53 % --bmc1_ucm false
% 150.06/150.53 % --bmc1_add_unsat_core none
% 150.06/150.53 % --bmc1_unsat_core_children false
% 150.06/150.53 % --bmc1_unsat_core_extrapolate_axioms false
% 150.06/150.53 % --bmc1_out_stat full
% 150.06/150.53 % --bmc1_ground_init false
% 150.06/150.53 % --bmc1_pre_inst_next_state false
% 150.06/150.53 % --bmc1_pre_inst_state false
% 150.06/150.53 % --bmc1_pre_inst_reach_state false
% 150.06/150.53 % --bmc1_out_unsat_core false
% 150.06/150.53 % --bmc1_aig_witness_out false
% 150.06/150.53 % --bmc1_verbose false
% 150.06/150.53 % --bmc1_dump_clauses_tptp false
% 150.06/150.54 % --bmc1_dump_unsat_core_tptp false
% 150.06/150.54 % --bmc1_dump_file -
% 150.06/150.54 % --bmc1_ucm_expand_uc_limit 128
% 150.06/150.54 % --bmc1_ucm_n_expand_iterations 6
% 150.06/150.54 % --bmc1_ucm_extend_mode 1
% 150.06/150.54 % --bmc1_ucm_init_mode 2
% 150.06/150.54 % --bmc1_ucm_cone_mode none
% 150.06/150.54 % --bmc1_ucm_reduced_relation_type 0
% 150.06/150.54 % --bmc1_ucm_relax_model 4
% 150.06/150.54 % --bmc1_ucm_full_tr_after_sat true
% 150.06/150.54 % --bmc1_ucm_expand_neg_assumptions false
% 150.06/150.54 % --bmc1_ucm_layered_model none
% 150.06/150.54 % --bmc1_ucm_max_lemma_size 10
% 150.06/150.54
% 150.06/150.54 % ------ AIG Options
% 150.06/150.54
% 150.06/150.54 % --aig_mode false
% 150.06/150.54
% 150.06/150.54 % ------ Instantiation Options
% 150.06/150.54
% 150.06/150.54 % --instantiation_flag true
% 150.06/150.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.06/150.54 % --inst_solver_per_active 750
% 150.06/150.54 % --inst_solver_calls_frac 0.5
% 150.06/150.54 % --inst_passive_queue_type priority_queues
% 150.06/150.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.06/150.54 % --inst_passive_queues_freq [25;2]
% 150.06/150.54 % --inst_dismatching true
% 150.06/150.54 % --inst_eager_unprocessed_to_passive true
% 150.06/150.54 % --inst_prop_sim_given true
% 150.06/150.54 % --inst_prop_sim_new false
% 150.06/150.54 % --inst_orphan_elimination true
% 150.06/150.54 % --inst_learning_loop_flag true
% 150.06/150.54 % --inst_learning_start 3000
% 150.06/150.54 % --inst_learning_factor 2
% 150.06/150.54 % --inst_start_prop_sim_after_learn 3
% 150.06/150.54 % --inst_sel_renew solver
% 150.06/150.54 % --inst_lit_activity_flag true
% 150.06/150.54 % --inst_out_proof true
% 150.06/150.54
% 150.06/150.54 % ------ Resolution Options
% 150.06/150.54
% 150.06/150.54 % --resolution_flag true
% 150.06/150.54 % --res_lit_sel kbo_max
% 150.06/150.54 % --res_to_prop_solver none
% 150.06/150.54 % --res_prop_simpl_new false
% 150.06/150.54 % --res_prop_simpl_given false
% 150.06/150.54 % --res_passive_queue_type priority_queues
% 150.06/150.54 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.06/150.54 % --res_passive_queues_freq [15;5]
% 150.06/150.54 % --res_forward_subs full
% 150.06/150.54 % --res_backward_subs full
% 150.06/150.54 % --res_forward_subs_resolution true
% 150.06/150.54 % --res_backward_subs_resolution true
% 150.06/150.54 % --res_orphan_elimination false
% 150.06/150.54 % --res_time_limit 1000.
% 150.06/150.54 % --res_out_proof true
% 150.06/150.54 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2ba72f.s
% 150.06/150.54 % --modulo true
% 150.06/150.54
% 150.06/150.54 % ------ Combination Options
% 150.06/150.54
% 150.06/150.54 % --comb_res_mult 1000
% 150.06/150.54 % --comb_inst_mult 300
% 150.06/150.54 % ------
% 150.06/150.54
% 150.06/150.54 % ------ Parsing...% successful
% 150.06/150.54
% 150.06/150.54 % ------ 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 %
% 150.06/150.54
% 150.06/150.54 % ------ Proving...
% 150.06/150.54 % ------ Problem Properties
% 150.06/150.54
% 150.06/150.54 %
% 150.06/150.54 % EPR false
% 150.06/150.54 % Horn false
% 150.06/150.54 % Has equality false
% 150.06/150.54
% 150.06/150.54 % % ------ Input Options Time Limit: Unbounded
% 150.06/150.54
% 150.06/150.54
% 150.06/150.54 % % ------ Current options:
% 150.06/150.54
% 150.06/150.54 % ------ Input Options
% 150.06/150.54
% 150.06/150.54 % --out_options all
% 150.06/150.54 % --tptp_safe_out true
% 150.06/150.54 % --problem_path ""
% 150.06/150.54 % --include_path ""
% 150.06/150.54 % --clausifier .//eprover
% 150.06/150.54 % --clausifier_options --tstp-format
% 150.06/150.54 % --stdin false
% 150.06/150.54 % --dbg_backtrace false
% 150.06/150.54 % --dbg_dump_prop_clauses false
% 150.06/150.54 % --dbg_dump_prop_clauses_file -
% 150.06/150.54 % --dbg_out_stat false
% 150.06/150.54
% 150.06/150.54 % ------ General Options
% 150.06/150.54
% 150.06/150.54 % --fof false
% 150.06/150.54 % --time_out_real 150.
% 150.06/150.54 % --time_out_prep_mult 0.2
% 150.06/150.54 % --time_out_virtual -1.
% 150.06/150.54 % --schedule none
% 150.06/150.54 % --ground_splitting input
% 150.06/150.54 % --splitting_nvd 16
% 150.06/150.54 % --non_eq_to_eq false
% 150.06/150.54 % --prep_gs_sim true
% 150.06/150.54 % --prep_unflatten false
% 150.06/150.54 % --prep_res_sim true
% 150.06/150.54 % --prep_upred true
% 150.06/150.54 % --res_sim_input true
% 150.06/150.54 % --clause_weak_htbl true
% 150.06/150.54 % --gc_record_bc_elim false
% 150.06/150.54 % --symbol_type_check false
% 150.06/150.54 % --clausify_out false
% 150.06/150.54 % --large_theory_mode false
% 150.06/150.54 % --prep_sem_filter none
% 150.06/150.54 % --prep_sem_filter_out false
% 150.06/150.54 % --preprocessed_out false
% 150.06/150.54 % --sub_typing false
% 150.06/150.54 % --brand_transform false
% 150.06/150.54 % --pure_diseq_elim true
% 150.06/150.54 % --min_unsat_core false
% 150.06/150.54 % --pred_elim true
% 150.06/150.54 % --add_important_lit false
% 150.06/150.54 % --soft_assumptions false
% 150.06/150.54 % --reset_solvers false
% 150.06/150.54 % --bc_imp_inh []
% 150.06/150.54 % --conj_cone_tolerance 1.5
% 150.06/150.54 % --prolific_symb_bound 500
% 150.06/150.54 % --lt_threshold 2000
% 150.06/150.54
% 150.06/150.54 % ------ SAT Options
% 150.06/150.54
% 150.06/150.54 % --sat_mode false
% 150.06/150.54 % --sat_fm_restart_options ""
% 150.06/150.54 % --sat_gr_def false
% 150.06/150.54 % --sat_epr_types true
% 150.06/150.54 % --sat_non_cyclic_types false
% 150.06/150.54 % --sat_finite_models false
% 150.06/150.54 % --sat_fm_lemmas false
% 150.06/150.54 % --sat_fm_prep false
% 150.06/150.54 % --sat_fm_uc_incr true
% 150.06/150.54 % --sat_out_model small
% 150.06/150.54 % --sat_out_clauses false
% 150.06/150.54
% 150.06/150.54 % ------ QBF Options
% 150.06/150.54
% 150.06/150.54 % --qbf_mode false
% 150.06/150.54 % --qbf_elim_univ true
% 150.06/150.54 % --qbf_sk_in true
% 150.06/150.54 % --qbf_pred_elim true
% 150.06/150.54 % --qbf_split 32
% 150.06/150.54
% 150.06/150.54 % ------ BMC1 Options
% 150.06/150.54
% 150.06/150.54 % --bmc1_incremental false
% 150.06/150.54 % --bmc1_axioms reachable_all
% 150.06/150.54 % --bmc1_min_bound 0
% 150.06/150.54 % --bmc1_max_bound -1
% 150.06/150.54 % --bmc1_max_bound_default -1
% 150.06/150.54 % --bmc1_symbol_reachability true
% 150.06/150.54 % --bmc1_property_lemmas false
% 150.06/150.54 % --bmc1_k_induction false
% 150.06/150.54 % --bmc1_non_equiv_states false
% 150.06/150.54 % --bmc1_deadlock false
% 150.06/150.54 % --bmc1_ucm false
% 150.06/150.54 % --bmc1_add_unsat_core none
% 150.06/150.54 % --bmc1_unsat_core_children false
% 150.06/150.54 % --bmc1_unsat_core_extrapolate_axioms false
% 150.06/150.54 % --bmc1_out_stat full
% 150.06/150.54 % --bmc1_ground_init false
% 150.06/150.54 % --bmc1_pre_inst_next_state false
% 150.06/150.54 % --bmc1_pre_inst_state false
% 150.06/150.54 % --bmc1_pre_inst_reach_state false
% 150.06/150.54 % --bmc1_out_unsat_core false
% 150.06/150.54 % --bmc1_aig_witness_out false
% 150.06/150.54 % --bmc1_verbose false
% 150.06/150.54 % --bmc1_dump_clauses_tptp false
% 150.06/150.54 % --bmc1_dump_unsat_core_tptp false
% 150.06/150.54 % --bmc1_dump_file -
% 150.06/150.54 % --bmc1_ucm_expand_uc_limit 128
% 150.06/150.54 % --bmc1_ucm_n_expand_iterations 6
% 150.06/150.54 % --bmc1_ucm_extend_mode 1
% 150.06/150.54 % --bmc1_ucm_init_mode 2
% 150.06/150.54 % --bmc1_ucm_cone_mode none
% 150.06/150.54 % --bmc1_ucm_reduced_relation_type 0
% 150.06/150.54 % --bmc1_ucm_relax_model 4
% 150.06/150.54 % --bmc1_ucm_full_tr_after_sat true
% 150.06/150.54 % --bmc1_ucm_expand_neg_assumptions false
% 150.06/150.54 % --bmc1_ucm_layered_model none
% 150.06/150.54 % --bmc1_ucm_max_lemma_size 10
% 150.06/150.54
% 150.06/150.54 % ------ AIG Options
% 150.06/150.54
% 150.06/150.54 % --aig_mode false
% 150.06/150.54
% 150.06/150.54 % ------ Instantiation Options
% 150.06/150.54
% 150.06/150.54 % --instantiation_flag true
% 150.06/150.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.06/150.54 % --inst_solver_per_active 750
% 150.06/150.54 % --inst_solver_calls_frac 0.5
% 150.06/150.54 % --inst_passive_queue_type priority_queues
% 150.06/150.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.06/150.54 % --inst_passive_queues_freq [25;2]
% 150.06/150.54 % --inst_dismatching true
% 150.06/150.54 % --inst_eager_unprocessed_to_passive true
% 150.06/150.54 % --inst_prop_sim_given true
% 224.02/224.47 % --inst_prop_sim_new false
% 224.02/224.47 % --inst_orphan_elimination true
% 224.02/224.47 % --inst_learning_loop_flag true
% 224.02/224.47 % --inst_learning_start 3000
% 224.02/224.47 % --inst_learning_factor 2
% 224.02/224.47 % --inst_start_prop_sim_after_learn 3
% 224.02/224.47 % --inst_sel_renew solver
% 224.02/224.47 % --inst_lit_activity_flag true
% 224.02/224.47 % --inst_out_proof true
% 224.02/224.47
% 224.02/224.47 % ------ Resolution Options
% 224.02/224.47
% 224.02/224.47 % --resolution_flag true
% 224.02/224.47 % --res_lit_sel kbo_max
% 224.02/224.47 % --res_to_prop_solver none
% 224.02/224.47 % --res_prop_simpl_new false
% 224.02/224.47 % --res_prop_simpl_given false
% 224.02/224.47 % --res_passive_queue_type priority_queues
% 224.02/224.47 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 224.02/224.47 % --res_passive_queues_freq [15;5]
% 224.02/224.47 % --res_forward_subs full
% 224.02/224.47 % --res_backward_subs full
% 224.02/224.47 % --res_forward_subs_resolution true
% 224.02/224.47 % --res_backward_subs_resolution true
% 224.02/224.47 % --res_orphan_elimination false
% 224.02/224.47 % --res_time_limit 1000.
% 224.02/224.47 % --res_out_proof true
% 224.02/224.47 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_2ba72f.s
% 224.02/224.47 % --modulo true
% 224.02/224.47
% 224.02/224.47 % ------ Combination Options
% 224.02/224.47
% 224.02/224.47 % --comb_res_mult 1000
% 224.02/224.47 % --comb_inst_mult 300
% 224.02/224.47 % ------
% 224.02/224.47
% 224.02/224.47
% 224.02/224.47
% 224.02/224.47 % ------ Proving...
% 224.02/224.47 %
% 224.02/224.47
% 224.02/224.47
% 224.02/224.47 % ------ Statistics
% 224.02/224.47
% 224.02/224.47 % ------ General
% 224.02/224.47
% 224.02/224.47 % num_of_input_clauses: 86
% 224.02/224.47 % num_of_input_neg_conjectures: 5
% 224.02/224.47 % num_of_splits: 0
% 224.02/224.47 % num_of_split_atoms: 0
% 224.02/224.47 % num_of_sem_filtered_clauses: 0
% 224.02/224.47 % num_of_subtypes: 0
% 224.02/224.47 % monotx_restored_types: 0
% 224.02/224.47 % sat_num_of_epr_types: 0
% 224.02/224.47 % sat_num_of_non_cyclic_types: 0
% 224.02/224.47 % sat_guarded_non_collapsed_types: 0
% 224.02/224.47 % is_epr: 0
% 224.02/224.47 % is_horn: 0
% 224.02/224.47 % has_eq: 0
% 224.02/224.47 % num_pure_diseq_elim: 0
% 224.02/224.47 % simp_replaced_by: 0
% 224.02/224.47 % res_preprocessed: 14
% 224.02/224.47 % prep_upred: 0
% 224.02/224.47 % prep_unflattend: 0
% 224.02/224.47 % pred_elim_cands: 1
% 224.02/224.47 % pred_elim: 1
% 224.02/224.47 % pred_elim_cl: 4
% 224.02/224.47 % pred_elim_cycles: 2
% 224.02/224.47 % forced_gc_time: 0
% 224.02/224.47 % gc_basic_clause_elim: 0
% 224.02/224.47 % parsing_time: 0.004
% 224.02/224.47 % sem_filter_time: 0.
% 224.02/224.47 % pred_elim_time: 0.
% 224.02/224.47 % out_proof_time: 0.006
% 224.02/224.47 % monotx_time: 0.
% 224.02/224.47 % subtype_inf_time: 0.
% 224.02/224.47 % unif_index_cands_time: 0.094
% 224.02/224.47 % unif_index_add_time: 0.046
% 224.02/224.47 % total_time: 73.959
% 224.02/224.47 % num_of_symbols: 39
% 224.02/224.47 % num_of_terms: 68827
% 224.02/224.47
% 224.02/224.47 % ------ Propositional Solver
% 224.02/224.47
% 224.02/224.47 % prop_solver_calls: 29
% 224.02/224.47 % prop_fast_solver_calls: 23
% 224.02/224.47 % prop_num_of_clauses: 21065
% 224.02/224.47 % prop_preprocess_simplified: 37990
% 224.02/224.47 % prop_fo_subsumed: 0
% 224.02/224.47 % prop_solver_time: 0.014
% 224.02/224.47 % prop_fast_solver_time: 0.
% 224.02/224.47 % prop_unsat_core_time: 0.003
% 224.02/224.47
% 224.02/224.47 % ------ QBF
% 224.02/224.47
% 224.02/224.47 % qbf_q_res: 0
% 224.02/224.47 % qbf_num_tautologies: 0
% 224.02/224.47 % qbf_prep_cycles: 0
% 224.02/224.47
% 224.02/224.47 % ------ BMC1
% 224.02/224.47
% 224.02/224.47 % bmc1_current_bound: -1
% 224.02/224.47 % bmc1_last_solved_bound: -1
% 224.02/224.47 % bmc1_unsat_core_size: -1
% 224.02/224.47 % bmc1_unsat_core_parents_size: -1
% 224.02/224.47 % bmc1_merge_next_fun: 0
% 224.02/224.47 % bmc1_unsat_core_clauses_time: 0.
% 224.02/224.47
% 224.02/224.47 % ------ Instantiation
% 224.02/224.47
% 224.02/224.47 % inst_num_of_clauses: 4657
% 224.02/224.47 % inst_num_in_passive: 2184
% 224.02/224.47 % inst_num_in_active: 1268
% 224.02/224.47 % inst_num_in_unprocessed: 1170
% 224.02/224.47 % inst_num_of_loops: 1311
% 224.07/224.48 % inst_num_of_learning_restarts: 1
% 224.07/224.48 % inst_num_moves_active_passive: 8
% 224.07/224.48 % inst_lit_activity: 592
% 224.07/224.48 % inst_lit_activity_moves: 0
% 224.07/224.48 % inst_num_tautologies: 33
% 224.07/224.48 % inst_num_prop_implied: 0
% 224.07/224.48 % inst_num_existing_simplified: 0
% 224.07/224.48 % inst_num_eq_res_simplified: 0
% 224.07/224.48 % inst_num_child_elim: 0
% 224.07/224.48 % inst_num_of_dismatching_blockings: 11877
% 224.07/224.48 % inst_num_of_non_proper_insts: 13082
% 224.07/224.48 % inst_num_of_duplicates: 6013
% 224.07/224.48 % inst_inst_num_from_inst_to_res: 0
% 224.07/224.48 % inst_dismatching_checking_time: 0.3
% 224.07/224.48
% 224.07/224.48 % ------ Resolution
% 224.07/224.48
% 224.07/224.48 % res_num_of_clauses: 256380
% 224.07/224.48 % res_num_in_passive: 242987
% 224.07/224.48 % res_num_in_active: 13734
% 224.07/224.48 % res_num_of_loops: 15000
% 224.07/224.48 % res_forward_subset_subsumed: 7416
% 224.07/224.48 % res_backward_subset_subsumed: 458
% 224.07/224.48 % res_forward_subsumed: 968
% 224.07/224.48 % res_backward_subsumed: 271
% 224.07/224.48 % res_forward_subsumption_resolution: 115
% 224.07/224.48 % res_backward_subsumption_resolution: 0
% 224.07/224.48 % res_clause_to_clause_subsumption: 28027721
% 224.07/224.48 % res_orphan_elimination: 0
% 224.07/224.48 % res_tautology_del: 494
% 224.07/224.48 % res_num_eq_res_simplified: 0
% 224.07/224.48 % res_num_sel_changes: 0
% 224.07/224.48 % res_moves_from_active_to_pass: 0
% 224.07/224.48
% 224.07/224.48 % Status Unsatisfiable
% 224.07/224.48 % SZS status Unsatisfiable
% 224.07/224.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------