TSTP Solution File: FLD049-4 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : FLD049-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n018.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 02:11:24 EDT 2022
% Result : Unsatisfiable 70.75s 70.96s
% Output : CNFRefutation 70.75s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(different_identities,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
input ).
fof(different_identities_0,plain,
( ~ sum(additive_identity,additive_identity,multiplicative_identity)
| $false ),
inference(orientation,[status(thm)],[different_identities]) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
input ).
fof(well_definedness_of_multiplicative_identity_0,plain,
( defined(multiplicative_identity)
| $false ),
inference(orientation,[status(thm)],[well_definedness_of_multiplicative_identity]) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
input ).
fof(well_definedness_of_additive_identity_0,plain,
( defined(additive_identity)
| $false ),
inference(orientation,[status(thm)],[well_definedness_of_additive_identity]) ).
fof(def_lhs_atom1,axiom,
( lhs_atom1
<=> defined(additive_identity) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
( lhs_atom1
| $false ),
inference(fold_definition,[status(thm)],[well_definedness_of_additive_identity_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
( lhs_atom2
<=> defined(multiplicative_identity) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
( lhs_atom2
| $false ),
inference(fold_definition,[status(thm)],[well_definedness_of_multiplicative_identity_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> ~ sum(additive_identity,additive_identity,multiplicative_identity) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[different_identities_0,def_lhs_atom3]) ).
% Start CNF derivation
fof(c_0_0,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_1,axiom,
( lhs_atom2
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_2,axiom,
( lhs_atom1
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_3,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_4,plain,
lhs_atom2,
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_5,plain,
lhs_atom1,
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_6,plain,
lhs_atom3,
c_0_3 ).
fof(c_0_7,plain,
lhs_atom2,
c_0_4 ).
fof(c_0_8,plain,
lhs_atom1,
c_0_5 ).
cnf(c_0_9,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
lhs_atom2,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
lhs_atom1,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
lhs_atom3,
c_0_9,
[final] ).
cnf(c_0_13,plain,
lhs_atom2,
c_0_10,
[final] ).
cnf(c_0_14,plain,
lhs_atom1,
c_0_11,
[final] ).
% End CNF derivation
cnf(c_0_12_0,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
inference(unfold_definition,[status(thm)],[c_0_12,def_lhs_atom3]) ).
cnf(c_0_13_0,axiom,
defined(multiplicative_identity),
inference(unfold_definition,[status(thm)],[c_0_13,def_lhs_atom2]) ).
cnf(c_0_14_0,axiom,
defined(additive_identity),
inference(unfold_definition,[status(thm)],[c_0_14,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2,X3,X6,X7,X8,X9] :
( sum(X7,X6,X8)
| ~ sum(X3,X2,X9)
| ~ product(X9,X1,X8)
| ~ product(X3,X1,X7)
| ~ product(X2,X1,X6) ),
file('<stdin>',distributivity_1) ).
fof(c_0_1_002,axiom,
! [X1,X2,X3,X6,X7,X8,X9] :
( product(X9,X1,X8)
| ~ sum(X3,X2,X9)
| ~ product(X3,X1,X7)
| ~ product(X2,X1,X6)
| ~ sum(X7,X6,X8) ),
file('<stdin>',distributivity_2) ).
fof(c_0_2_003,axiom,
! [X1,X2,X3,X10,X4,X5] :
( sum(X3,X4,X10)
| ~ sum(X3,X2,X5)
| ~ sum(X2,X1,X4)
| ~ sum(X5,X1,X10) ),
file('<stdin>',associativity_addition_1) ).
fof(c_0_3_004,axiom,
! [X1,X2,X3,X10,X4,X5] :
( sum(X5,X1,X10)
| ~ sum(X3,X2,X5)
| ~ sum(X2,X1,X4)
| ~ sum(X3,X4,X10) ),
file('<stdin>',associativity_addition_2) ).
fof(c_0_4_005,axiom,
! [X1,X2,X3,X10,X4,X5] :
( product(X3,X4,X10)
| ~ product(X3,X2,X5)
| ~ product(X2,X1,X4)
| ~ product(X5,X1,X10) ),
file('<stdin>',associativity_multiplication_1) ).
fof(c_0_5_006,axiom,
! [X1,X2,X3,X10,X4,X5] :
( product(X5,X1,X10)
| ~ product(X3,X2,X5)
| ~ product(X2,X1,X4)
| ~ product(X3,X4,X10) ),
file('<stdin>',associativity_multiplication_2) ).
fof(c_0_6_007,axiom,
! [X1,X2,X3,X4,X5] :
( less_or_equal(X5,X4)
| ~ less_or_equal(X3,X2)
| ~ sum(X3,X1,X5)
| ~ sum(X2,X1,X4) ),
file('<stdin>',compatibility_of_order_relation_and_addition) ).
fof(c_0_7_008,axiom,
! [X1,X2,X3] :
( sum(X2,X3,X1)
| ~ sum(X3,X2,X1) ),
file('<stdin>',commutativity_addition) ).
fof(c_0_8_009,axiom,
! [X1,X2,X3] :
( product(X2,X3,X1)
| ~ product(X3,X2,X1) ),
file('<stdin>',commutativity_multiplication) ).
fof(c_0_9_010,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_011,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_012,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_013,axiom,
! [X2,X3] :
( sum(X3,X2,add(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
file('<stdin>',totality_of_addition) ).
fof(c_0_13_014,axiom,
! [X2,X3] :
( product(X3,X2,multiply(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
file('<stdin>',totality_of_multiplication) ).
fof(c_0_14_015,axiom,
! [X3] :
( defined(multiplicative_inverse(X3))
| ~ defined(X3)
| sum(additive_identity,X3,additive_identity) ),
file('<stdin>',well_definedness_of_multiplicative_inverse) ).
fof(c_0_15,axiom,
! [X3] :
( sum(additive_inverse(X3),X3,additive_identity)
| ~ defined(X3) ),
file('<stdin>',existence_of_inverse_addition) ).
fof(c_0_16,axiom,
! [X3] :
( sum(additive_identity,X3,X3)
| ~ defined(X3) ),
file('<stdin>',existence_of_identity_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,
! [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_19,axiom,
! [X2,X3] :
( defined(add(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
file('<stdin>',well_definedness_of_addition) ).
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] :
( less_or_equal(X3,X2)
| less_or_equal(X2,X3)
| ~ defined(X3)
| ~ defined(X2) ),
file('<stdin>',totality_of_order_relation) ).
fof(c_0_22,axiom,
! [X3] :
( defined(additive_inverse(X3))
| ~ defined(X3) ),
file('<stdin>',well_definedness_of_additive_inverse) ).
fof(c_0_23,plain,
! [X1,X2,X3,X6,X7,X8,X9] :
( sum(X7,X6,X8)
| ~ sum(X3,X2,X9)
| ~ product(X9,X1,X8)
| ~ product(X3,X1,X7)
| ~ product(X2,X1,X6) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_24,plain,
! [X1,X2,X3,X6,X7,X8,X9] :
( product(X9,X1,X8)
| ~ sum(X3,X2,X9)
| ~ product(X3,X1,X7)
| ~ product(X2,X1,X6)
| ~ sum(X7,X6,X8) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_25,plain,
! [X1,X2,X3,X10,X4,X5] :
( sum(X3,X4,X10)
| ~ sum(X3,X2,X5)
| ~ sum(X2,X1,X4)
| ~ sum(X5,X1,X10) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_26,plain,
! [X1,X2,X3,X10,X4,X5] :
( sum(X5,X1,X10)
| ~ sum(X3,X2,X5)
| ~ sum(X2,X1,X4)
| ~ sum(X3,X4,X10) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_27,plain,
! [X1,X2,X3,X10,X4,X5] :
( product(X3,X4,X10)
| ~ product(X3,X2,X5)
| ~ product(X2,X1,X4)
| ~ product(X5,X1,X10) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_28,plain,
! [X1,X2,X3,X10,X4,X5] :
( product(X5,X1,X10)
| ~ product(X3,X2,X5)
| ~ product(X2,X1,X4)
| ~ product(X3,X4,X10) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_29,plain,
! [X1,X2,X3,X4,X5] :
( less_or_equal(X5,X4)
| ~ less_or_equal(X3,X2)
| ~ sum(X3,X1,X5)
| ~ sum(X2,X1,X4) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_30,plain,
! [X1,X2,X3] :
( sum(X2,X3,X1)
| ~ sum(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_31,plain,
! [X1,X2,X3] :
( product(X2,X3,X1)
| ~ product(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_32,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_33,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_34,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_35,plain,
! [X2,X3] :
( sum(X3,X2,add(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_36,plain,
! [X2,X3] :
( product(X3,X2,multiply(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_37,plain,
! [X3] :
( defined(multiplicative_inverse(X3))
| ~ defined(X3)
| sum(additive_identity,X3,additive_identity) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_38,plain,
! [X3] :
( sum(additive_inverse(X3),X3,additive_identity)
| ~ defined(X3) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_39,plain,
! [X3] :
( sum(additive_identity,X3,X3)
| ~ defined(X3) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_40,plain,
! [X3] :
( product(multiplicative_identity,X3,X3)
| ~ defined(X3) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_41,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_18]) ).
fof(c_0_42,plain,
! [X2,X3] :
( defined(add(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_43,plain,
! [X2,X3] :
( defined(multiply(X3,X2))
| ~ defined(X3)
| ~ defined(X2) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_44,plain,
! [X2,X3] :
( less_or_equal(X3,X2)
| less_or_equal(X2,X3)
| ~ defined(X3)
| ~ defined(X2) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_45,plain,
! [X3] :
( defined(additive_inverse(X3))
| ~ defined(X3) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_46,plain,
! [X10,X11,X12,X13,X14,X15,X16] :
( sum(X14,X13,X15)
| ~ sum(X12,X11,X16)
| ~ product(X16,X10,X15)
| ~ product(X12,X10,X14)
| ~ product(X11,X10,X13) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_23])])]) ).
fof(c_0_47,plain,
! [X10,X11,X12,X13,X14,X15,X16] :
( product(X16,X10,X15)
| ~ sum(X12,X11,X16)
| ~ product(X12,X10,X14)
| ~ product(X11,X10,X13)
| ~ sum(X14,X13,X15) ),
inference(variable_rename,[status(thm)],[c_0_24]) ).
fof(c_0_48,plain,
! [X11,X12,X13,X14,X15,X16] :
( sum(X13,X15,X14)
| ~ sum(X13,X12,X16)
| ~ sum(X12,X11,X15)
| ~ sum(X16,X11,X14) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_25])])]) ).
fof(c_0_49,plain,
! [X11,X12,X13,X14,X15,X16] :
( sum(X16,X11,X14)
| ~ sum(X13,X12,X16)
| ~ sum(X12,X11,X15)
| ~ sum(X13,X15,X14) ),
inference(variable_rename,[status(thm)],[c_0_26]) ).
fof(c_0_50,plain,
! [X11,X12,X13,X14,X15,X16] :
( product(X13,X15,X14)
| ~ product(X13,X12,X16)
| ~ product(X12,X11,X15)
| ~ product(X16,X11,X14) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_27])])]) ).
fof(c_0_51,plain,
! [X11,X12,X13,X14,X15,X16] :
( product(X16,X11,X14)
| ~ product(X13,X12,X16)
| ~ product(X12,X11,X15)
| ~ product(X13,X15,X14) ),
inference(variable_rename,[status(thm)],[c_0_28]) ).
fof(c_0_52,plain,
! [X6,X7,X8,X9,X10] :
( less_or_equal(X10,X9)
| ~ less_or_equal(X8,X7)
| ~ sum(X8,X6,X10)
| ~ sum(X7,X6,X9) ),
inference(variable_rename,[status(thm)],[c_0_29]) ).
fof(c_0_53,plain,
! [X4,X5,X6] :
( sum(X5,X6,X4)
| ~ sum(X6,X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
fof(c_0_54,plain,
! [X4,X5,X6] :
( product(X5,X6,X4)
| ~ product(X6,X5,X4) ),
inference(variable_rename,[status(thm)],[c_0_31]) ).
fof(c_0_55,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_32])])]) ).
fof(c_0_56,plain,
! [X4] :
( product(multiplicative_inverse(X4),X4,multiplicative_identity)
| sum(additive_identity,X4,additive_identity)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_33]) ).
fof(c_0_57,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_34]) ).
fof(c_0_58,plain,
! [X4,X5] :
( sum(X5,X4,add(X5,X4))
| ~ defined(X5)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_35]) ).
fof(c_0_59,plain,
! [X4,X5] :
( product(X5,X4,multiply(X5,X4))
| ~ defined(X5)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_60,plain,
! [X4] :
( defined(multiplicative_inverse(X4))
| ~ defined(X4)
| sum(additive_identity,X4,additive_identity) ),
inference(variable_rename,[status(thm)],[c_0_37]) ).
fof(c_0_61,plain,
! [X4] :
( sum(additive_inverse(X4),X4,additive_identity)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_38]) ).
fof(c_0_62,plain,
! [X4] :
( sum(additive_identity,X4,X4)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_39]) ).
fof(c_0_63,plain,
! [X4] :
( product(multiplicative_identity,X4,X4)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_40]) ).
fof(c_0_64,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_41]) ).
fof(c_0_65,plain,
! [X4,X5] :
( defined(add(X5,X4))
| ~ defined(X5)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_42]) ).
fof(c_0_66,plain,
! [X4,X5] :
( defined(multiply(X5,X4))
| ~ defined(X5)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_43]) ).
fof(c_0_67,plain,
! [X4,X5] :
( less_or_equal(X5,X4)
| less_or_equal(X4,X5)
| ~ defined(X5)
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_44]) ).
fof(c_0_68,plain,
! [X4] :
( defined(additive_inverse(X4))
| ~ defined(X4) ),
inference(variable_rename,[status(thm)],[c_0_45]) ).
cnf(c_0_69,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_46]) ).
cnf(c_0_70,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_47]) ).
cnf(c_0_71,plain,
( sum(X6,X5,X3)
| ~ sum(X1,X2,X3)
| ~ sum(X4,X2,X5)
| ~ sum(X6,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_72,plain,
( sum(X6,X5,X3)
| ~ sum(X1,X2,X3)
| ~ sum(X4,X5,X2)
| ~ sum(X1,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_73,plain,
( product(X6,X5,X3)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X5)
| ~ product(X6,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_74,plain,
( product(X6,X5,X3)
| ~ product(X1,X2,X3)
| ~ product(X4,X5,X2)
| ~ product(X1,X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_75,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_52]) ).
cnf(c_0_76,plain,
( sum(X2,X1,X3)
| ~ sum(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_77,plain,
( product(X2,X1,X3)
| ~ product(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_78,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_55]) ).
cnf(c_0_79,plain,
( sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X1,multiplicative_identity)
| ~ defined(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_80,plain,
( sum(additive_identity,X2,X1)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_81,plain,
( sum(X2,X1,add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_82,plain,
( product(X2,X1,multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_83,plain,
( sum(additive_identity,X1,additive_identity)
| defined(multiplicative_inverse(X1))
| ~ defined(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_84,plain,
( sum(additive_inverse(X1),X1,additive_identity)
| ~ defined(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_85,plain,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_86,plain,
( product(multiplicative_identity,X1,X1)
| ~ defined(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_87,plain,
( less_or_equal(X3,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_88,plain,
( defined(add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_89,plain,
( defined(multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_90,plain,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_91,plain,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_92,plain,
( sum(X5,X3,X7)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X5)
| ~ product(X6,X2,X7)
| ~ sum(X4,X1,X6) ),
c_0_69,
[final] ).
cnf(c_0_93,plain,
( product(X7,X5,X3)
| ~ sum(X1,X2,X3)
| ~ product(X4,X5,X2)
| ~ product(X6,X5,X1)
| ~ sum(X6,X4,X7) ),
c_0_70,
[final] ).
cnf(c_0_94,plain,
( sum(X6,X5,X3)
| ~ sum(X1,X2,X3)
| ~ sum(X4,X2,X5)
| ~ sum(X6,X4,X1) ),
c_0_71,
[final] ).
cnf(c_0_95,plain,
( sum(X6,X5,X3)
| ~ sum(X1,X2,X3)
| ~ sum(X4,X5,X2)
| ~ sum(X1,X4,X6) ),
c_0_72,
[final] ).
cnf(c_0_96,plain,
( product(X6,X5,X3)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X5)
| ~ product(X6,X4,X1) ),
c_0_73,
[final] ).
cnf(c_0_97,plain,
( product(X6,X5,X3)
| ~ product(X1,X2,X3)
| ~ product(X4,X5,X2)
| ~ product(X1,X4,X6) ),
c_0_74,
[final] ).
cnf(c_0_98,plain,
( less_or_equal(X5,X3)
| ~ sum(X1,X2,X3)
| ~ sum(X4,X2,X5)
| ~ less_or_equal(X4,X1) ),
c_0_75,
[final] ).
cnf(c_0_99,plain,
( sum(X2,X1,X3)
| ~ sum(X1,X2,X3) ),
c_0_76,
[final] ).
cnf(c_0_100,plain,
( product(X2,X1,X3)
| ~ product(X1,X2,X3) ),
c_0_77,
[final] ).
cnf(c_0_101,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_78,
[final] ).
cnf(c_0_102,plain,
( sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X1,multiplicative_identity)
| ~ defined(X1) ),
c_0_79,
[final] ).
cnf(c_0_103,plain,
( sum(additive_identity,X2,X1)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1) ),
c_0_80,
[final] ).
cnf(c_0_104,plain,
( sum(X2,X1,add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
c_0_81,
[final] ).
cnf(c_0_105,plain,
( product(X2,X1,multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
c_0_82,
[final] ).
cnf(c_0_106,plain,
( sum(additive_identity,X1,additive_identity)
| defined(multiplicative_inverse(X1))
| ~ defined(X1) ),
c_0_83,
[final] ).
cnf(c_0_107,plain,
( sum(additive_inverse(X1),X1,additive_identity)
| ~ defined(X1) ),
c_0_84,
[final] ).
cnf(c_0_108,plain,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
c_0_85,
[final] ).
cnf(c_0_109,plain,
( product(multiplicative_identity,X1,X1)
| ~ defined(X1) ),
c_0_86,
[final] ).
cnf(c_0_110,plain,
( less_or_equal(X3,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X3,X1) ),
c_0_87,
[final] ).
cnf(c_0_111,plain,
( defined(add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
c_0_88,
[final] ).
cnf(c_0_112,plain,
( defined(multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
c_0_89,
[final] ).
cnf(c_0_113,plain,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
c_0_90,
[final] ).
cnf(c_0_114,plain,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
c_0_91,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_92_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_92]) ).
cnf(c_0_92_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_92]) ).
cnf(c_0_92_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_92]) ).
cnf(c_0_92_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_92]) ).
cnf(c_0_92_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_92]) ).
cnf(c_0_93_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_93]) ).
cnf(c_0_93_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_93]) ).
cnf(c_0_93_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_93]) ).
cnf(c_0_93_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_93]) ).
cnf(c_0_93_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_93]) ).
cnf(c_0_94_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_94]) ).
cnf(c_0_94_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_94]) ).
cnf(c_0_94_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_94]) ).
cnf(c_0_94_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_94]) ).
cnf(c_0_95_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_95]) ).
cnf(c_0_95_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_95]) ).
cnf(c_0_95_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_95]) ).
cnf(c_0_95_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_95]) ).
cnf(c_0_96_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_96]) ).
cnf(c_0_96_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_96]) ).
cnf(c_0_96_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_96]) ).
cnf(c_0_96_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_96]) ).
cnf(c_0_97_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_97]) ).
cnf(c_0_97_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_97]) ).
cnf(c_0_97_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_97]) ).
cnf(c_0_97_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_97]) ).
cnf(c_0_98_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_98]) ).
cnf(c_0_98_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_98]) ).
cnf(c_0_98_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_98]) ).
cnf(c_0_98_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_98]) ).
cnf(c_0_99_0,axiom,
( sum(X2,X1,X3)
| ~ sum(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_1,axiom,
( ~ sum(X1,X2,X3)
| sum(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_100_0,axiom,
( product(X2,X1,X3)
| ~ product(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_1,axiom,
( ~ product(X1,X2,X3)
| product(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_101_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_101]) ).
cnf(c_0_101_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_101]) ).
cnf(c_0_101_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_101]) ).
cnf(c_0_101_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_101]) ).
cnf(c_0_102_0,axiom,
( sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X1,multiplicative_identity)
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_1,axiom,
( product(multiplicative_inverse(X1),X1,multiplicative_identity)
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_2,axiom,
( ~ defined(X1)
| product(multiplicative_inverse(X1),X1,multiplicative_identity)
| sum(additive_identity,X1,additive_identity) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_103_0,axiom,
( sum(additive_identity,X2,X1)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_1,axiom,
( ~ less_or_equal(X1,X2)
| sum(additive_identity,X2,X1)
| ~ less_or_equal(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_2,axiom,
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2)
| sum(additive_identity,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_104_0,axiom,
( sum(X2,X1,add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_1,axiom,
( ~ defined(X1)
| sum(X2,X1,add(X2,X1))
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_2,axiom,
( ~ defined(X2)
| ~ defined(X1)
| sum(X2,X1,add(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_105_0,axiom,
( product(X2,X1,multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_1,axiom,
( ~ defined(X1)
| product(X2,X1,multiply(X2,X1))
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_2,axiom,
( ~ defined(X2)
| ~ defined(X1)
| product(X2,X1,multiply(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_106_0,axiom,
( sum(additive_identity,X1,additive_identity)
| defined(multiplicative_inverse(X1))
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_1,axiom,
( defined(multiplicative_inverse(X1))
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_2,axiom,
( ~ defined(X1)
| defined(multiplicative_inverse(X1))
| sum(additive_identity,X1,additive_identity) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_107_0,axiom,
( sum(additive_inverse(X1),X1,additive_identity)
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_1,axiom,
( ~ defined(X1)
| sum(additive_inverse(X1),X1,additive_identity) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_108_0,axiom,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_1,axiom,
( ~ defined(X1)
| sum(additive_identity,X1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_109_0,axiom,
( product(multiplicative_identity,X1,X1)
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_1,axiom,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_110_0,axiom,
( less_or_equal(X3,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_1,axiom,
( ~ less_or_equal(X1,X2)
| less_or_equal(X3,X2)
| ~ less_or_equal(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_2,axiom,
( ~ less_or_equal(X3,X1)
| ~ less_or_equal(X1,X2)
| less_or_equal(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_111_0,axiom,
( defined(add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_1,axiom,
( ~ defined(X1)
| defined(add(X2,X1))
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_2,axiom,
( ~ defined(X2)
| ~ defined(X1)
| defined(add(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_0,axiom,
( defined(multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_1,axiom,
( ~ defined(X1)
| defined(multiply(X2,X1))
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_2,axiom,
( ~ defined(X2)
| ~ defined(X1)
| defined(multiply(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_0,axiom,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_1,axiom,
( less_or_equal(X2,X1)
| less_or_equal(X1,X2)
| ~ defined(X1)
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_2,axiom,
( ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2)
| ~ defined(X2) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_3,axiom,
( ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_114_0,axiom,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_1,axiom,
( ~ defined(X1)
| defined(additive_inverse(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_016,negated_conjecture,
~ product(b,c,k),
file('<stdin>',not_product_12) ).
fof(c_0_1_017,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('<stdin>',not_sum_8) ).
fof(c_0_2_018,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('<stdin>',not_sum_7) ).
fof(c_0_3_019,negated_conjecture,
product(c,multiplicative_inverse(d),s),
file('<stdin>',product_10) ).
fof(c_0_4_020,negated_conjecture,
product(a,multiplicative_inverse(b),s),
file('<stdin>',product_9) ).
fof(c_0_5_021,negated_conjecture,
product(a,d,k),
file('<stdin>',product_11) ).
fof(c_0_6_022,hypothesis,
defined(s),
file('<stdin>',s_is_defined) ).
fof(c_0_7_023,hypothesis,
defined(k),
file('<stdin>',k_is_defined) ).
fof(c_0_8_024,hypothesis,
defined(d),
file('<stdin>',d_is_defined) ).
fof(c_0_9_025,hypothesis,
defined(c),
file('<stdin>',c_is_defined) ).
fof(c_0_10_026,hypothesis,
defined(b),
file('<stdin>',b_is_defined) ).
fof(c_0_11_027,hypothesis,
defined(a),
file('<stdin>',a_is_defined) ).
fof(c_0_12_028,negated_conjecture,
~ product(b,c,k),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_13_029,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_14_030,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_15_031,negated_conjecture,
product(c,multiplicative_inverse(d),s),
c_0_3 ).
fof(c_0_16_032,negated_conjecture,
product(a,multiplicative_inverse(b),s),
c_0_4 ).
fof(c_0_17_033,negated_conjecture,
product(a,d,k),
c_0_5 ).
fof(c_0_18_034,hypothesis,
defined(s),
c_0_6 ).
fof(c_0_19_035,hypothesis,
defined(k),
c_0_7 ).
fof(c_0_20_036,hypothesis,
defined(d),
c_0_8 ).
fof(c_0_21_037,hypothesis,
defined(c),
c_0_9 ).
fof(c_0_22_038,hypothesis,
defined(b),
c_0_10 ).
fof(c_0_23_039,hypothesis,
defined(a),
c_0_11 ).
fof(c_0_24_040,negated_conjecture,
~ product(b,c,k),
c_0_12 ).
fof(c_0_25_041,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
c_0_13 ).
fof(c_0_26_042,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
c_0_14 ).
fof(c_0_27_043,negated_conjecture,
product(c,multiplicative_inverse(d),s),
c_0_15 ).
fof(c_0_28_044,negated_conjecture,
product(a,multiplicative_inverse(b),s),
c_0_16 ).
fof(c_0_29_045,negated_conjecture,
product(a,d,k),
c_0_17 ).
fof(c_0_30_046,hypothesis,
defined(s),
c_0_18 ).
fof(c_0_31_047,hypothesis,
defined(k),
c_0_19 ).
fof(c_0_32_048,hypothesis,
defined(d),
c_0_20 ).
fof(c_0_33_049,hypothesis,
defined(c),
c_0_21 ).
fof(c_0_34_050,hypothesis,
defined(b),
c_0_22 ).
fof(c_0_35_051,hypothesis,
defined(a),
c_0_23 ).
cnf(c_0_36_052,negated_conjecture,
~ product(b,c,k),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37_053,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38_054,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39_055,negated_conjecture,
product(c,multiplicative_inverse(d),s),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40_056,negated_conjecture,
product(a,multiplicative_inverse(b),s),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41_057,negated_conjecture,
product(a,d,k),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42_058,hypothesis,
defined(s),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43_059,hypothesis,
defined(k),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_44_060,hypothesis,
defined(d),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45_061,hypothesis,
defined(c),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46_062,hypothesis,
defined(b),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_47_063,hypothesis,
defined(a),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48_064,negated_conjecture,
~ product(b,c,k),
c_0_36,
[final] ).
cnf(c_0_49_065,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
c_0_37,
[final] ).
cnf(c_0_50_066,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
c_0_38,
[final] ).
cnf(c_0_51_067,negated_conjecture,
product(c,multiplicative_inverse(d),s),
c_0_39,
[final] ).
cnf(c_0_52_068,negated_conjecture,
product(a,multiplicative_inverse(b),s),
c_0_40,
[final] ).
cnf(c_0_53_069,negated_conjecture,
product(a,d,k),
c_0_41,
[final] ).
cnf(c_0_54_070,hypothesis,
defined(s),
c_0_42,
[final] ).
cnf(c_0_55_071,hypothesis,
defined(k),
c_0_43,
[final] ).
cnf(c_0_56_072,hypothesis,
defined(d),
c_0_44,
[final] ).
cnf(c_0_57_073,hypothesis,
defined(c),
c_0_45,
[final] ).
cnf(c_0_58_074,hypothesis,
defined(b),
c_0_46,
[final] ).
cnf(c_0_59_075,hypothesis,
defined(a),
c_0_47,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_21,plain,
( product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X4,X1)
| ~ product(X0,X5,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p',c_0_96_3) ).
cnf(c_186,plain,
( product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X4,X1)
| ~ product(X0,X5,X3) ),
inference(copy,[status(esa)],[c_21]) ).
cnf(c_59990,plain,
( ~ product(a,d,k)
| ~ product(X0,d,X1)
| product(X2,X1,k)
| ~ product(X2,X0,a) ),
inference(instantiation,[status(thm)],[c_186]) ).
cnf(c_547767,plain,
( ~ product(s,d,c)
| ~ product(a,d,k)
| product(X0,c,k)
| ~ product(X0,s,a) ),
inference(instantiation,[status(thm)],[c_59990]) ).
cnf(c_2863345,plain,
( product(b,c,k)
| ~ product(b,s,a)
| ~ product(s,d,c)
| ~ product(a,d,k) ),
inference(instantiation,[status(thm)],[c_547767]) ).
cnf(c_32,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p',c_0_100_0) ).
cnf(c_197,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
inference(copy,[status(esa)],[c_32]) ).
cnf(c_547703,plain,
( product(b,s,a)
| ~ product(s,b,a) ),
inference(instantiation,[status(thm)],[c_197]) ).
cnf(c_22,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p',c_0_97_0) ).
cnf(c_187,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
inference(copy,[status(esa)],[c_22]) ).
cnf(c_59995,plain,
( ~ product(multiplicative_inverse(d),X0,X1)
| ~ product(c,multiplicative_inverse(d),s)
| ~ product(c,X1,X2)
| product(s,X0,X2) ),
inference(instantiation,[status(thm)],[c_187]) ).
cnf(c_237670,plain,
( ~ product(multiplicative_inverse(d),X0,multiplicative_identity)
| ~ product(c,multiplicative_inverse(d),s)
| ~ product(c,multiplicative_identity,c)
| product(s,X0,c) ),
inference(instantiation,[status(thm)],[c_59995]) ).
cnf(c_544394,plain,
( ~ product(multiplicative_inverse(d),d,multiplicative_identity)
| ~ product(c,multiplicative_inverse(d),s)
| ~ product(c,multiplicative_identity,c)
| product(s,d,c) ),
inference(instantiation,[status(thm)],[c_237670]) ).
cnf(c_59997,plain,
( ~ product(multiplicative_inverse(b),X0,X1)
| product(s,X0,X2)
| ~ product(a,multiplicative_inverse(b),s)
| ~ product(a,X1,X2) ),
inference(instantiation,[status(thm)],[c_187]) ).
cnf(c_237590,plain,
( ~ product(multiplicative_inverse(b),X0,multiplicative_identity)
| product(s,X0,a)
| ~ product(a,multiplicative_inverse(b),s)
| ~ product(a,multiplicative_identity,a) ),
inference(instantiation,[status(thm)],[c_59997]) ).
cnf(c_544391,plain,
( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| product(s,b,a)
| ~ product(a,multiplicative_inverse(b),s)
| ~ product(a,multiplicative_identity,a) ),
inference(instantiation,[status(thm)],[c_237590]) ).
cnf(c_59920,plain,
( ~ product(multiplicative_identity,X0,X0)
| product(X0,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_197]) ).
cnf(c_236837,plain,
( ~ product(multiplicative_identity,c,c)
| product(c,multiplicative_identity,c) ),
inference(instantiation,[status(thm)],[c_59920]) ).
cnf(c_236824,plain,
( ~ product(multiplicative_identity,a,a)
| product(a,multiplicative_identity,a) ),
inference(instantiation,[status(thm)],[c_59920]) ).
cnf(c_58,plain,
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p',c_0_109_1) ).
cnf(c_223,plain,
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
inference(copy,[status(esa)],[c_58]) ).
cnf(c_60256,plain,
( product(multiplicative_identity,a,a)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_223]) ).
cnf(c_60252,plain,
( product(multiplicative_identity,c,c)
| ~ defined(c) ),
inference(instantiation,[status(thm)],[c_223]) ).
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_dc7fc7.p',c_0_102_0) ).
cnf(c_203,plain,
( ~ defined(X0)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
inference(copy,[status(esa)],[c_38]) ).
cnf(c_59909,plain,
( sum(additive_identity,b,additive_identity)
| product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ defined(b) ),
inference(instantiation,[status(thm)],[c_203]) ).
cnf(c_59908,plain,
( sum(additive_identity,d,additive_identity)
| product(multiplicative_inverse(d),d,multiplicative_identity)
| ~ defined(d) ),
inference(instantiation,[status(thm)],[c_203]) ).
cnf(c_85,plain,
defined(d),
file('/export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p',c_0_56) ).
cnf(c_86,plain,
defined(c),
file('/export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p',c_0_57) ).
cnf(c_87,plain,
defined(b),
file('/export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p',c_0_58) ).
cnf(c_88,plain,
defined(a),
file('/export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p',c_0_59) ).
cnf(c_77,negated_conjecture,
~ product(b,c,k),
file('/export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p',c_0_48) ).
cnf(c_78,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p',c_0_49) ).
cnf(c_79,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p',c_0_50) ).
cnf(c_80,negated_conjecture,
product(c,multiplicative_inverse(d),s),
file('/export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p',c_0_51) ).
cnf(c_81,negated_conjecture,
product(a,multiplicative_inverse(b),s),
file('/export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p',c_0_52) ).
cnf(c_82,negated_conjecture,
product(a,d,k),
file('/export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p',c_0_53) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_2863345,c_547703,c_544394,c_544391,c_236837,c_236824,c_60256,c_60252,c_59909,c_59908,c_85,c_86,c_87,c_88,c_77,c_78,c_79,c_80,c_81,c_82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD049-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : iprover_modulo %s %d
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 6 21:21:35 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.19/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.40 % Orientation found
% 0.19/0.40 % 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_db6d44.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_dc7fc7.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_b03b11 | grep -v "SZS"
% 0.19/0.42
% 0.19/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.42
% 0.19/0.42 %
% 0.19/0.42 % ------ iProver source info
% 0.19/0.42
% 0.19/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.42 % git: non_committed_changes: true
% 0.19/0.42 % git: last_make_outside_of_git: true
% 0.19/0.42
% 0.19/0.42 %
% 0.19/0.42 % ------ Input Options
% 0.19/0.42
% 0.19/0.42 % --out_options all
% 0.19/0.42 % --tptp_safe_out true
% 0.19/0.42 % --problem_path ""
% 0.19/0.42 % --include_path ""
% 0.19/0.42 % --clausifier .//eprover
% 0.19/0.42 % --clausifier_options --tstp-format
% 0.19/0.42 % --stdin false
% 0.19/0.42 % --dbg_backtrace false
% 0.19/0.42 % --dbg_dump_prop_clauses false
% 0.19/0.42 % --dbg_dump_prop_clauses_file -
% 0.19/0.42 % --dbg_out_stat false
% 0.19/0.42
% 0.19/0.42 % ------ General Options
% 0.19/0.42
% 0.19/0.42 % --fof false
% 0.19/0.42 % --time_out_real 150.
% 0.19/0.42 % --time_out_prep_mult 0.2
% 0.19/0.42 % --time_out_virtual -1.
% 0.19/0.42 % --schedule none
% 0.19/0.42 % --ground_splitting input
% 0.19/0.42 % --splitting_nvd 16
% 0.19/0.42 % --non_eq_to_eq false
% 0.19/0.42 % --prep_gs_sim true
% 0.19/0.42 % --prep_unflatten false
% 0.19/0.42 % --prep_res_sim true
% 0.19/0.42 % --prep_upred true
% 0.19/0.42 % --res_sim_input true
% 0.19/0.42 % --clause_weak_htbl true
% 0.19/0.42 % --gc_record_bc_elim false
% 0.19/0.42 % --symbol_type_check false
% 0.19/0.42 % --clausify_out false
% 0.19/0.42 % --large_theory_mode false
% 0.19/0.42 % --prep_sem_filter none
% 0.19/0.42 % --prep_sem_filter_out false
% 0.19/0.42 % --preprocessed_out false
% 0.19/0.42 % --sub_typing false
% 0.19/0.42 % --brand_transform false
% 0.19/0.42 % --pure_diseq_elim true
% 0.19/0.42 % --min_unsat_core false
% 0.19/0.42 % --pred_elim true
% 0.19/0.42 % --add_important_lit false
% 0.19/0.42 % --soft_assumptions false
% 0.19/0.42 % --reset_solvers false
% 0.19/0.42 % --bc_imp_inh []
% 0.19/0.42 % --conj_cone_tolerance 1.5
% 0.19/0.42 % --prolific_symb_bound 500
% 0.19/0.42 % --lt_threshold 2000
% 0.19/0.42
% 0.19/0.42 % ------ SAT Options
% 0.19/0.42
% 0.19/0.42 % --sat_mode false
% 0.19/0.42 % --sat_fm_restart_options ""
% 0.19/0.42 % --sat_gr_def false
% 0.19/0.42 % --sat_epr_types true
% 0.19/0.42 % --sat_non_cyclic_types false
% 0.19/0.42 % --sat_finite_models false
% 0.19/0.42 % --sat_fm_lemmas false
% 0.19/0.42 % --sat_fm_prep false
% 0.19/0.42 % --sat_fm_uc_incr true
% 0.19/0.42 % --sat_out_model small
% 0.19/0.42 % --sat_out_clauses false
% 0.19/0.42
% 0.19/0.42 % ------ QBF Options
% 0.19/0.42
% 0.19/0.42 % --qbf_mode false
% 0.19/0.42 % --qbf_elim_univ true
% 0.19/0.42 % --qbf_sk_in true
% 0.19/0.42 % --qbf_pred_elim true
% 0.19/0.42 % --qbf_split 32
% 0.19/0.42
% 0.19/0.42 % ------ BMC1 Options
% 0.19/0.42
% 0.19/0.42 % --bmc1_incremental false
% 0.19/0.42 % --bmc1_axioms reachable_all
% 0.19/0.42 % --bmc1_min_bound 0
% 0.19/0.42 % --bmc1_max_bound -1
% 0.19/0.42 % --bmc1_max_bound_default -1
% 0.19/0.42 % --bmc1_symbol_reachability true
% 0.19/0.42 % --bmc1_property_lemmas false
% 0.19/0.42 % --bmc1_k_induction false
% 0.19/0.42 % --bmc1_non_equiv_states false
% 0.19/0.42 % --bmc1_deadlock false
% 0.19/0.42 % --bmc1_ucm false
% 0.19/0.42 % --bmc1_add_unsat_core none
% 0.19/0.42 % --bmc1_unsat_core_children false
% 0.19/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.42 % --bmc1_out_stat full
% 0.19/0.42 % --bmc1_ground_init false
% 0.19/0.42 % --bmc1_pre_inst_next_state false
% 0.19/0.42 % --bmc1_pre_inst_state false
% 0.19/0.42 % --bmc1_pre_inst_reach_state false
% 0.19/0.42 % --bmc1_out_unsat_core false
% 0.19/0.42 % --bmc1_aig_witness_out false
% 0.19/0.42 % --bmc1_verbose false
% 0.19/0.42 % --bmc1_dump_clauses_tptp false
% 0.19/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.43 % --bmc1_dump_file -
% 0.19/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.43 % --bmc1_ucm_extend_mode 1
% 0.19/0.43 % --bmc1_ucm_init_mode 2
% 0.19/0.43 % --bmc1_ucm_cone_mode none
% 0.19/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.43 % --bmc1_ucm_relax_model 4
% 0.19/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.43 % --bmc1_ucm_layered_model none
% 0.19/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.43
% 0.19/0.43 % ------ AIG Options
% 0.19/0.43
% 0.19/0.43 % --aig_mode false
% 0.19/0.43
% 0.19/0.43 % ------ Instantiation Options
% 0.19/0.43
% 0.19/0.43 % --instantiation_flag true
% 0.19/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.43 % --inst_solver_per_active 750
% 0.19/0.43 % --inst_solver_calls_frac 0.5
% 0.19/0.43 % --inst_passive_queue_type priority_queues
% 0.19/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.43 % --inst_passive_queues_freq [25;2]
% 0.19/0.43 % --inst_dismatching true
% 0.19/0.43 % --inst_eager_unprocessed_to_passive true
% 0.19/0.43 % --inst_prop_sim_given true
% 0.19/0.43 % --inst_prop_sim_new false
% 0.19/0.43 % --inst_orphan_elimination true
% 0.19/0.43 % --inst_learning_loop_flag true
% 0.19/0.43 % --inst_learning_start 3000
% 0.19/0.43 % --inst_learning_factor 2
% 0.19/0.43 % --inst_start_prop_sim_after_learn 3
% 0.19/0.43 % --inst_sel_renew solver
% 0.19/0.43 % --inst_lit_activity_flag true
% 0.19/0.43 % --inst_out_proof true
% 0.19/0.43
% 0.19/0.43 % ------ Resolution Options
% 0.19/0.43
% 0.19/0.43 % --resolution_flag true
% 0.19/0.43 % --res_lit_sel kbo_max
% 0.19/0.43 % --res_to_prop_solver none
% 0.19/0.43 % --res_prop_simpl_new false
% 0.19/0.43 % --res_prop_simpl_given false
% 0.19/0.43 % --res_passive_queue_type priority_queues
% 0.19/0.43 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.43 % --res_passive_queues_freq [15;5]
% 0.19/0.43 % --res_forward_subs full
% 0.19/0.43 % --res_backward_subs full
% 0.19/0.43 % --res_forward_subs_resolution true
% 0.19/0.43 % --res_backward_subs_resolution true
% 0.19/0.43 % --res_orphan_elimination false
% 0.19/0.43 % --res_time_limit 1000.
% 0.19/0.43 % --res_out_proof true
% 0.19/0.43 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_db6d44.s
% 0.19/0.43 % --modulo true
% 0.19/0.43
% 0.19/0.43 % ------ Combination Options
% 0.19/0.43
% 0.19/0.43 % --comb_res_mult 1000
% 0.19/0.43 % --comb_inst_mult 300
% 0.19/0.43 % ------
% 0.19/0.43
% 0.19/0.43 % ------ Parsing...% successful
% 0.19/0.43
% 0.19/0.43 % ------ 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 %
% 0.19/0.43
% 0.19/0.43 % ------ Proving...
% 0.19/0.43 % ------ Problem Properties
% 0.19/0.43
% 0.19/0.43 %
% 0.19/0.43 % EPR false
% 0.19/0.43 % Horn false
% 0.19/0.43 % Has equality false
% 0.19/0.43
% 0.19/0.43 % % ------ Input Options Time Limit: Unbounded
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 % % ------ Current options:
% 0.19/0.43
% 0.19/0.43 % ------ Input Options
% 0.19/0.43
% 0.19/0.43 % --out_options all
% 0.19/0.43 % --tptp_safe_out true
% 0.19/0.43 % --problem_path ""
% 0.19/0.43 % --include_path ""
% 0.19/0.43 % --clausifier .//eprover
% 0.19/0.43 % --clausifier_options --tstp-format
% 0.19/0.43 % --stdin false
% 0.19/0.43 % --dbg_backtrace false
% 0.19/0.43 % --dbg_dump_prop_clauses false
% 0.19/0.43 % --dbg_dump_prop_clauses_file -
% 0.19/0.43 % --dbg_out_stat false
% 0.19/0.43
% 0.19/0.43 % ------ General Options
% 0.19/0.43
% 0.19/0.43 % --fof false
% 0.19/0.43 % --time_out_real 150.
% 0.19/0.43 % --time_out_prep_mult 0.2
% 0.19/0.43 % --time_out_virtual -1.
% 0.19/0.43 % --schedule none
% 0.19/0.43 % --ground_splitting input
% 0.19/0.43 % --splitting_nvd 16
% 0.19/0.43 % --non_eq_to_eq false
% 0.19/0.43 % --prep_gs_sim true
% 0.19/0.43 % --prep_unflatten false
% 0.19/0.43 % --prep_res_sim true
% 0.19/0.43 % --prep_upred true
% 0.19/0.43 % --res_sim_input true
% 0.19/0.43 % --clause_weak_htbl true
% 0.19/0.43 % --gc_record_bc_elim false
% 0.19/0.43 % --symbol_type_check false
% 0.19/0.43 % --clausify_out false
% 0.19/0.43 % --large_theory_mode false
% 0.19/0.43 % --prep_sem_filter none
% 0.19/0.43 % --prep_sem_filter_out false
% 0.19/0.43 % --preprocessed_out false
% 0.19/0.43 % --sub_typing false
% 0.19/0.43 % --brand_transform false
% 0.19/0.43 % --pure_diseq_elim true
% 0.19/0.43 % --min_unsat_core false
% 0.19/0.43 % --pred_elim true
% 0.19/0.43 % --add_important_lit false
% 0.19/0.43 % --soft_assumptions false
% 0.19/0.43 % --reset_solvers false
% 0.19/0.43 % --bc_imp_inh []
% 0.19/0.43 % --conj_cone_tolerance 1.5
% 0.19/0.43 % --prolific_symb_bound 500
% 0.19/0.43 % --lt_threshold 2000
% 0.19/0.43
% 0.19/0.43 % ------ SAT Options
% 0.19/0.43
% 0.19/0.43 % --sat_mode false
% 0.19/0.43 % --sat_fm_restart_options ""
% 0.19/0.43 % --sat_gr_def false
% 0.19/0.43 % --sat_epr_types true
% 0.19/0.43 % --sat_non_cyclic_types false
% 0.19/0.43 % --sat_finite_models false
% 0.19/0.43 % --sat_fm_lemmas false
% 0.19/0.43 % --sat_fm_prep false
% 0.19/0.43 % --sat_fm_uc_incr true
% 0.19/0.43 % --sat_out_model small
% 0.19/0.43 % --sat_out_clauses false
% 0.19/0.43
% 0.19/0.43 % ------ QBF Options
% 0.19/0.43
% 0.19/0.43 % --qbf_mode false
% 0.19/0.43 % --qbf_elim_univ true
% 0.19/0.43 % --qbf_sk_in true
% 0.19/0.43 % --qbf_pred_elim true
% 0.19/0.43 % --qbf_split 32
% 0.19/0.43
% 0.19/0.43 % ------ BMC1 Options
% 0.19/0.43
% 0.19/0.43 % --bmc1_incremental false
% 0.19/0.43 % --bmc1_axioms reachable_all
% 0.19/0.43 % --bmc1_min_bound 0
% 0.19/0.43 % --bmc1_max_bound -1
% 0.19/0.43 % --bmc1_max_bound_default -1
% 0.19/0.43 % --bmc1_symbol_reachability true
% 0.19/0.43 % --bmc1_property_lemmas false
% 0.19/0.43 % --bmc1_k_induction false
% 0.19/0.43 % --bmc1_non_equiv_states false
% 0.19/0.43 % --bmc1_deadlock false
% 0.19/0.43 % --bmc1_ucm false
% 0.19/0.43 % --bmc1_add_unsat_core none
% 0.19/0.43 % --bmc1_unsat_core_children false
% 0.19/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.43 % --bmc1_out_stat full
% 0.19/0.43 % --bmc1_ground_init false
% 0.19/0.43 % --bmc1_pre_inst_next_state false
% 0.19/0.43 % --bmc1_pre_inst_state false
% 0.19/0.43 % --bmc1_pre_inst_reach_state false
% 0.19/0.43 % --bmc1_out_unsat_core false
% 0.19/0.43 % --bmc1_aig_witness_out false
% 0.19/0.43 % --bmc1_verbose false
% 0.19/0.43 % --bmc1_dump_clauses_tptp false
% 0.19/0.43 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.43 % --bmc1_dump_file -
% 0.19/0.43 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.43 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.43 % --bmc1_ucm_extend_mode 1
% 0.19/0.43 % --bmc1_ucm_init_mode 2
% 0.19/0.43 % --bmc1_ucm_cone_mode none
% 0.19/0.43 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.43 % --bmc1_ucm_relax_model 4
% 0.19/0.43 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.43 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.43 % --bmc1_ucm_layered_model none
% 0.19/0.43 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.43
% 0.19/0.43 % ------ AIG Options
% 0.19/0.43
% 0.19/0.43 % --aig_mode false
% 0.19/0.43
% 0.19/0.43 % ------ Instantiation Options
% 0.19/0.43
% 0.19/0.43 % --instantiation_flag true
% 0.19/0.43 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.43 % --inst_solver_per_active 750
% 0.19/0.43 % --inst_solver_calls_frac 0.5
% 0.19/0.43 % --inst_passive_queue_type priority_queues
% 0.19/0.43 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.43 % --inst_passive_queues_freq [25;2]
% 0.19/0.43 % --inst_dismatching true
% 0.19/0.43 % --inst_eager_unprocessed_to_passive true
% 0.19/0.43 % --inst_prop_sim_given true
% 70.75/70.95 % --inst_prop_sim_new false
% 70.75/70.95 % --inst_orphan_elimination true
% 70.75/70.95 % --inst_learning_loop_flag true
% 70.75/70.95 % --inst_learning_start 3000
% 70.75/70.95 % --inst_learning_factor 2
% 70.75/70.95 % --inst_start_prop_sim_after_learn 3
% 70.75/70.95 % --inst_sel_renew solver
% 70.75/70.95 % --inst_lit_activity_flag true
% 70.75/70.95 % --inst_out_proof true
% 70.75/70.95
% 70.75/70.95 % ------ Resolution Options
% 70.75/70.95
% 70.75/70.95 % --resolution_flag true
% 70.75/70.95 % --res_lit_sel kbo_max
% 70.75/70.95 % --res_to_prop_solver none
% 70.75/70.95 % --res_prop_simpl_new false
% 70.75/70.95 % --res_prop_simpl_given false
% 70.75/70.95 % --res_passive_queue_type priority_queues
% 70.75/70.95 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 70.75/70.95 % --res_passive_queues_freq [15;5]
% 70.75/70.95 % --res_forward_subs full
% 70.75/70.95 % --res_backward_subs full
% 70.75/70.95 % --res_forward_subs_resolution true
% 70.75/70.95 % --res_backward_subs_resolution true
% 70.75/70.95 % --res_orphan_elimination false
% 70.75/70.95 % --res_time_limit 1000.
% 70.75/70.95 % --res_out_proof true
% 70.75/70.95 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_db6d44.s
% 70.75/70.95 % --modulo true
% 70.75/70.95
% 70.75/70.95 % ------ Combination Options
% 70.75/70.95
% 70.75/70.95 % --comb_res_mult 1000
% 70.75/70.95 % --comb_inst_mult 300
% 70.75/70.95 % ------
% 70.75/70.95
% 70.75/70.95
% 70.75/70.95
% 70.75/70.95 % ------ Proving...
% 70.75/70.95 %
% 70.75/70.95
% 70.75/70.95
% 70.75/70.95 % ------ Statistics
% 70.75/70.95
% 70.75/70.95 % ------ General
% 70.75/70.95
% 70.75/70.95 % num_of_input_clauses: 89
% 70.75/70.95 % num_of_input_neg_conjectures: 6
% 70.75/70.95 % num_of_splits: 0
% 70.75/70.95 % num_of_split_atoms: 0
% 70.75/70.95 % num_of_sem_filtered_clauses: 0
% 70.75/70.95 % num_of_subtypes: 0
% 70.75/70.95 % monotx_restored_types: 0
% 70.75/70.95 % sat_num_of_epr_types: 0
% 70.75/70.95 % sat_num_of_non_cyclic_types: 0
% 70.75/70.95 % sat_guarded_non_collapsed_types: 0
% 70.75/70.95 % is_epr: 0
% 70.75/70.95 % is_horn: 0
% 70.75/70.95 % has_eq: 0
% 70.75/70.95 % num_pure_diseq_elim: 0
% 70.75/70.95 % simp_replaced_by: 0
% 70.75/70.95 % res_preprocessed: 18
% 70.75/70.95 % prep_upred: 0
% 70.75/70.95 % prep_unflattend: 0
% 70.75/70.95 % pred_elim_cands: 1
% 70.75/70.95 % pred_elim: 1
% 70.75/70.95 % pred_elim_cl: 6
% 70.75/70.95 % pred_elim_cycles: 2
% 70.75/70.95 % forced_gc_time: 0
% 70.75/70.95 % gc_basic_clause_elim: 0
% 70.75/70.95 % parsing_time: 0.004
% 70.75/70.95 % sem_filter_time: 0.
% 70.75/70.95 % pred_elim_time: 0.
% 70.75/70.95 % out_proof_time: 0.002
% 70.75/70.95 % monotx_time: 0.
% 70.75/70.95 % subtype_inf_time: 0.
% 70.75/70.95 % unif_index_cands_time: 0.26
% 70.75/70.95 % unif_index_add_time: 0.03
% 70.75/70.95 % total_time: 70.539
% 70.75/70.95 % num_of_symbols: 41
% 70.75/70.95 % num_of_terms: 156277
% 70.75/70.95
% 70.75/70.95 % ------ Propositional Solver
% 70.75/70.95
% 70.75/70.95 % prop_solver_calls: 13
% 70.75/70.95 % prop_fast_solver_calls: 30
% 70.75/70.95 % prop_num_of_clauses: 11571
% 70.75/70.95 % prop_preprocess_simplified: 12404
% 70.75/70.95 % prop_fo_subsumed: 0
% 70.75/70.95 % prop_solver_time: 0.003
% 70.75/70.95 % prop_fast_solver_time: 0.
% 70.75/70.95 % prop_unsat_core_time: 0.001
% 70.75/70.95
% 70.75/70.95 % ------ QBF
% 70.75/70.95
% 70.75/70.95 % qbf_q_res: 0
% 70.75/70.95 % qbf_num_tautologies: 0
% 70.75/70.95 % qbf_prep_cycles: 0
% 70.75/70.95
% 70.75/70.95 % ------ BMC1
% 70.75/70.95
% 70.75/70.95 % bmc1_current_bound: -1
% 70.75/70.95 % bmc1_last_solved_bound: -1
% 70.75/70.95 % bmc1_unsat_core_size: -1
% 70.75/70.95 % bmc1_unsat_core_parents_size: -1
% 70.75/70.95 % bmc1_merge_next_fun: 0
% 70.75/70.95 % bmc1_unsat_core_clauses_time: 0.
% 70.75/70.95
% 70.75/70.95 % ------ Instantiation
% 70.75/70.95
% 70.75/70.95 % inst_num_of_clauses: 7638
% 70.75/70.95 % inst_num_in_passive: 3518
% 70.75/70.95 % inst_num_in_active: 1826
% 70.75/70.95 % inst_num_in_unprocessed: 2253
% 70.75/70.95 % inst_num_of_loops: 2059
% 70.75/70.96 % inst_num_of_learning_restarts: 0
% 70.75/70.96 % inst_num_moves_active_passive: 194
% 70.75/70.96 % inst_lit_activity: 501
% 70.75/70.96 % inst_lit_activity_moves: 1
% 70.75/70.96 % inst_num_tautologies: 37
% 70.75/70.96 % inst_num_prop_implied: 0
% 70.75/70.96 % inst_num_existing_simplified: 0
% 70.75/70.96 % inst_num_eq_res_simplified: 0
% 70.75/70.96 % inst_num_child_elim: 0
% 70.75/70.96 % inst_num_of_dismatching_blockings: 24228
% 70.75/70.96 % inst_num_of_non_proper_insts: 21969
% 70.75/70.96 % inst_num_of_duplicates: 19343
% 70.75/70.96 % inst_inst_num_from_inst_to_res: 0
% 70.75/70.96 % inst_dismatching_checking_time: 0.11
% 70.75/70.96
% 70.75/70.96 % ------ Resolution
% 70.75/70.96
% 70.75/70.96 % res_num_of_clauses: 1336990
% 70.75/70.96 % res_num_in_passive: 1332819
% 70.75/70.96 % res_num_in_active: 6774
% 70.75/70.96 % res_num_of_loops: 7000
% 70.75/70.96 % res_forward_subset_subsumed: 25983
% 70.75/70.96 % res_backward_subset_subsumed: 2648
% 70.75/70.96 % res_forward_subsumed: 245
% 70.75/70.96 % res_backward_subsumed: 17
% 70.75/70.96 % res_forward_subsumption_resolution: 118
% 70.75/70.96 % res_backward_subsumption_resolution: 0
% 70.75/70.96 % res_clause_to_clause_subsumption: 895222
% 70.75/70.96 % res_orphan_elimination: 0
% 70.75/70.96 % res_tautology_del: 3004
% 70.75/70.96 % res_num_eq_res_simplified: 0
% 70.75/70.96 % res_num_sel_changes: 0
% 70.75/70.96 % res_moves_from_active_to_pass: 0
% 70.75/70.96
% 70.75/70.96 % Status Unsatisfiable
% 70.75/70.96 % SZS status Unsatisfiable
% 70.75/70.96 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------