TSTP Solution File: RNG001-4 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : RNG001-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n017.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 : Mon Jul 18 20:30:01 EDT 2022
% Result : Unsatisfiable 228.35s 228.54s
% Output : CNFRefutation 228.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 36
% Syntax : Number of formulae : 291 ( 85 unt; 0 def)
% Number of atoms : 900 ( 32 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 1224 ( 615 ~; 609 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 1078 ( 1 sgn 237 !; 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,
! [X3,X2,X1,X7,X8,X9,X10] :
( ~ product(X2,X1,X10)
| ~ product(X3,X1,X9)
| ~ sum(X2,X3,X8)
| ~ sum(X10,X9,X7)
| product(X8,X1,X7) ),
file('<stdin>',distributivity4) ).
fof(c_0_1,axiom,
! [X3,X2,X1,X7,X8,X9,X10] :
( ~ product(X2,X1,X10)
| ~ product(X3,X1,X9)
| ~ sum(X2,X3,X8)
| ~ product(X8,X1,X7)
| sum(X10,X9,X7) ),
file('<stdin>',distributivity3) ).
fof(c_0_2,axiom,
! [X3,X2,X1,X7,X8,X9,X10] :
( ~ product(X1,X2,X10)
| ~ product(X1,X3,X9)
| ~ sum(X2,X3,X8)
| ~ sum(X10,X9,X7)
| product(X1,X8,X7) ),
file('<stdin>',distributivity2) ).
fof(c_0_3,axiom,
! [X3,X2,X1,X7,X8,X9,X10] :
( ~ product(X1,X2,X10)
| ~ product(X1,X3,X9)
| ~ sum(X2,X3,X8)
| ~ product(X1,X8,X7)
| sum(X10,X9,X7) ),
file('<stdin>',distributivity1) ).
fof(c_0_4,axiom,
! [X3,X2,X1,X4,X5,X6] :
( ~ product(X1,X2,X6)
| ~ product(X2,X3,X5)
| ~ product(X1,X5,X4)
| product(X6,X3,X4) ),
file('<stdin>',associativity_of_multiplication2) ).
fof(c_0_5,axiom,
! [X3,X2,X1,X4,X5,X6] :
( ~ product(X1,X2,X6)
| ~ product(X2,X3,X5)
| ~ product(X6,X3,X4)
| product(X1,X5,X4) ),
file('<stdin>',associativity_of_multiplication1) ).
fof(c_0_6,axiom,
! [X3,X2,X1,X4,X5,X6] :
( ~ sum(X1,X2,X6)
| ~ sum(X2,X3,X5)
| ~ sum(X1,X5,X4)
| sum(X6,X3,X4) ),
file('<stdin>',associativity_of_addition2) ).
fof(c_0_7,axiom,
! [X3,X2,X1,X4,X5,X6] :
( ~ sum(X1,X2,X6)
| ~ sum(X2,X3,X5)
| ~ sum(X6,X3,X4)
| sum(X1,X5,X4) ),
file('<stdin>',associativity_of_addition1) ).
fof(c_0_8,axiom,
! [X3,X2,X1,X4] :
( ~ sum(X1,X2,X3)
| ~ sum(X4,X2,X3)
| X1 = X4 ),
file('<stdin>',cancellation2) ).
fof(c_0_9,axiom,
! [X3,X2,X1,X4] :
( ~ sum(X1,X2,X3)
| ~ sum(X1,X4,X3)
| X2 = X4 ),
file('<stdin>',cancellation1) ).
fof(c_0_10,axiom,
! [X2,X1,X5,X6] :
( ~ product(X1,X2,X6)
| ~ product(X1,X2,X5)
| X6 = X5 ),
file('<stdin>',multiplication_is_well_defined) ).
fof(c_0_11,axiom,
! [X2,X1,X5,X6] :
( ~ sum(X1,X2,X6)
| ~ sum(X1,X2,X5)
| X6 = X5 ),
file('<stdin>',addition_is_well_defined) ).
fof(c_0_12,axiom,
! [X3,X2,X1] :
( ~ sum(X1,X2,X3)
| sum(X2,X1,X3) ),
file('<stdin>',commutativity_of_addition) ).
fof(c_0_13,axiom,
! [X2,X1] : sum(X1,X2,add(X1,X2)),
file('<stdin>',closure_of_addition) ).
fof(c_0_14,axiom,
! [X2,X1] : product(X1,X2,multiply(X1,X2)),
file('<stdin>',closure_of_multiplication) ).
fof(c_0_15,axiom,
! [X1] : sum(X1,additive_inverse(X1),additive_identity),
file('<stdin>',right_inverse) ).
fof(c_0_16,axiom,
! [X1] : sum(additive_inverse(X1),X1,additive_identity),
file('<stdin>',left_inverse) ).
fof(c_0_17,axiom,
! [X1] : sum(X1,additive_identity,X1),
file('<stdin>',additive_identity2) ).
fof(c_0_18,axiom,
! [X1] : sum(additive_identity,X1,X1),
file('<stdin>',additive_identity1) ).
fof(c_0_19,plain,
! [X3,X2,X1,X7,X8,X9,X10] :
( ~ product(X2,X1,X10)
| ~ product(X3,X1,X9)
| ~ sum(X2,X3,X8)
| ~ sum(X10,X9,X7)
| product(X8,X1,X7) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_20,plain,
! [X3,X2,X1,X7,X8,X9,X10] :
( ~ product(X2,X1,X10)
| ~ product(X3,X1,X9)
| ~ sum(X2,X3,X8)
| ~ product(X8,X1,X7)
| sum(X10,X9,X7) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_21,plain,
! [X3,X2,X1,X7,X8,X9,X10] :
( ~ product(X1,X2,X10)
| ~ product(X1,X3,X9)
| ~ sum(X2,X3,X8)
| ~ sum(X10,X9,X7)
| product(X1,X8,X7) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_22,plain,
! [X3,X2,X1,X7,X8,X9,X10] :
( ~ product(X1,X2,X10)
| ~ product(X1,X3,X9)
| ~ sum(X2,X3,X8)
| ~ product(X1,X8,X7)
| sum(X10,X9,X7) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_23,plain,
! [X3,X2,X1,X4,X5,X6] :
( ~ product(X1,X2,X6)
| ~ product(X2,X3,X5)
| ~ product(X1,X5,X4)
| product(X6,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_24,plain,
! [X3,X2,X1,X4,X5,X6] :
( ~ product(X1,X2,X6)
| ~ product(X2,X3,X5)
| ~ product(X6,X3,X4)
| product(X1,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_25,plain,
! [X3,X2,X1,X4,X5,X6] :
( ~ sum(X1,X2,X6)
| ~ sum(X2,X3,X5)
| ~ sum(X1,X5,X4)
| sum(X6,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_26,plain,
! [X3,X2,X1,X4,X5,X6] :
( ~ sum(X1,X2,X6)
| ~ sum(X2,X3,X5)
| ~ sum(X6,X3,X4)
| sum(X1,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_27,plain,
! [X3,X2,X1,X4] :
( ~ sum(X1,X2,X3)
| ~ sum(X4,X2,X3)
| X1 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_28,plain,
! [X3,X2,X1,X4] :
( ~ sum(X1,X2,X3)
| ~ sum(X1,X4,X3)
| X2 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_29,plain,
! [X2,X1,X5,X6] :
( ~ product(X1,X2,X6)
| ~ product(X1,X2,X5)
| X6 = X5 ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_30,plain,
! [X2,X1,X5,X6] :
( ~ sum(X1,X2,X6)
| ~ sum(X1,X2,X5)
| X6 = X5 ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_31,plain,
! [X3,X2,X1] :
( ~ sum(X1,X2,X3)
| sum(X2,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_32,axiom,
! [X2,X1] : sum(X1,X2,add(X1,X2)),
c_0_13 ).
fof(c_0_33,axiom,
! [X2,X1] : product(X1,X2,multiply(X1,X2)),
c_0_14 ).
fof(c_0_34,axiom,
! [X1] : sum(X1,additive_inverse(X1),additive_identity),
c_0_15 ).
fof(c_0_35,axiom,
! [X1] : sum(additive_inverse(X1),X1,additive_identity),
c_0_16 ).
fof(c_0_36,axiom,
! [X1] : sum(X1,additive_identity,X1),
c_0_17 ).
fof(c_0_37,axiom,
! [X1] : sum(additive_identity,X1,X1),
c_0_18 ).
fof(c_0_38,plain,
! [X11,X12,X13,X14,X15,X16,X17] :
( ~ product(X12,X13,X17)
| ~ product(X11,X13,X16)
| ~ sum(X12,X11,X15)
| ~ sum(X17,X16,X14)
| product(X15,X13,X14) ),
inference(variable_rename,[status(thm)],[c_0_19]) ).
fof(c_0_39,plain,
! [X11,X12,X13,X14,X15,X16,X17] :
( ~ product(X12,X13,X17)
| ~ product(X11,X13,X16)
| ~ sum(X12,X11,X15)
| ~ product(X15,X13,X14)
| sum(X17,X16,X14) ),
inference(variable_rename,[status(thm)],[c_0_20]) ).
fof(c_0_40,plain,
! [X11,X12,X13,X14,X15,X16,X17] :
( ~ product(X13,X12,X17)
| ~ product(X13,X11,X16)
| ~ sum(X12,X11,X15)
| ~ sum(X17,X16,X14)
| product(X13,X15,X14) ),
inference(variable_rename,[status(thm)],[c_0_21]) ).
fof(c_0_41,plain,
! [X11,X12,X13,X14,X15,X16,X17] :
( ~ product(X13,X12,X17)
| ~ product(X13,X11,X16)
| ~ sum(X12,X11,X15)
| ~ product(X13,X15,X14)
| sum(X17,X16,X14) ),
inference(variable_rename,[status(thm)],[c_0_22]) ).
fof(c_0_42,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ product(X9,X8,X12)
| ~ product(X8,X7,X11)
| ~ product(X9,X11,X10)
| product(X12,X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_23]) ).
fof(c_0_43,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ product(X9,X8,X12)
| ~ product(X8,X7,X11)
| ~ product(X12,X7,X10)
| product(X9,X11,X10) ),
inference(variable_rename,[status(thm)],[c_0_24]) ).
fof(c_0_44,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ sum(X9,X8,X12)
| ~ sum(X8,X7,X11)
| ~ sum(X9,X11,X10)
| sum(X12,X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_25]) ).
fof(c_0_45,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ sum(X9,X8,X12)
| ~ sum(X8,X7,X11)
| ~ sum(X12,X7,X10)
| sum(X9,X11,X10) ),
inference(variable_rename,[status(thm)],[c_0_26]) ).
fof(c_0_46,plain,
! [X5,X6,X7,X8] :
( ~ sum(X7,X6,X5)
| ~ sum(X8,X6,X5)
| X7 = X8 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_27])])]) ).
fof(c_0_47,plain,
! [X5,X6,X7,X8] :
( ~ sum(X7,X6,X5)
| ~ sum(X7,X8,X5)
| X6 = X8 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_28])])]) ).
fof(c_0_48,plain,
! [X7,X8,X9,X10] :
( ~ product(X8,X7,X10)
| ~ product(X8,X7,X9)
| X10 = X9 ),
inference(variable_rename,[status(thm)],[c_0_29]) ).
fof(c_0_49,plain,
! [X7,X8,X9,X10] :
( ~ sum(X8,X7,X10)
| ~ sum(X8,X7,X9)
| X10 = X9 ),
inference(variable_rename,[status(thm)],[c_0_30]) ).
fof(c_0_50,plain,
! [X4,X5,X6] :
( ~ sum(X6,X5,X4)
| sum(X5,X6,X4) ),
inference(variable_rename,[status(thm)],[c_0_31]) ).
fof(c_0_51,plain,
! [X3,X4] : sum(X4,X3,add(X4,X3)),
inference(variable_rename,[status(thm)],[c_0_32]) ).
fof(c_0_52,plain,
! [X3,X4] : product(X4,X3,multiply(X4,X3)),
inference(variable_rename,[status(thm)],[c_0_33]) ).
fof(c_0_53,plain,
! [X2] : sum(X2,additive_inverse(X2),additive_identity),
inference(variable_rename,[status(thm)],[c_0_34]) ).
fof(c_0_54,plain,
! [X2] : sum(additive_inverse(X2),X2,additive_identity),
inference(variable_rename,[status(thm)],[c_0_35]) ).
fof(c_0_55,plain,
! [X2] : sum(X2,additive_identity,X2),
inference(variable_rename,[status(thm)],[c_0_36]) ).
fof(c_0_56,plain,
! [X2] : sum(additive_identity,X2,X2),
inference(variable_rename,[status(thm)],[c_0_37]) ).
cnf(c_0_57,plain,
( product(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X7,X1)
| ~ product(X7,X2,X5)
| ~ product(X6,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_58,plain,
( sum(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ sum(X6,X7,X4)
| ~ product(X7,X5,X2)
| ~ product(X6,X5,X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_59,plain,
( product(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X7,X2)
| ~ product(X1,X7,X5)
| ~ product(X1,X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_60,plain,
( sum(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ sum(X6,X7,X5)
| ~ product(X4,X7,X2)
| ~ product(X4,X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_61,plain,
( product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X5)
| ~ product(X4,X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_62,plain,
( product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X5,X2)
| ~ product(X1,X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_63,plain,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X2,X5)
| ~ sum(X4,X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_64,plain,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X5,X2)
| ~ sum(X1,X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_65,plain,
( X1 = X2
| ~ sum(X2,X3,X4)
| ~ sum(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_66,plain,
( X1 = X2
| ~ sum(X3,X2,X4)
| ~ sum(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_67,plain,
( X1 = X2
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_68,plain,
( X1 = X2
| ~ sum(X3,X4,X2)
| ~ sum(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_69,plain,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_70,plain,
sum(X1,X2,add(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_71,plain,
product(X1,X2,multiply(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_72,plain,
sum(X1,additive_inverse(X1),additive_identity),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_73,plain,
sum(additive_inverse(X1),X1,additive_identity),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_74,plain,
sum(X1,additive_identity,X1),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_75,plain,
sum(additive_identity,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_76,plain,
( product(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X7,X1)
| ~ product(X7,X2,X5)
| ~ product(X6,X2,X4) ),
c_0_57,
[final] ).
cnf(c_0_77,plain,
( sum(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ sum(X6,X7,X4)
| ~ product(X7,X5,X2)
| ~ product(X6,X5,X1) ),
c_0_58,
[final] ).
cnf(c_0_78,plain,
( product(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X7,X2)
| ~ product(X1,X7,X5)
| ~ product(X1,X6,X4) ),
c_0_59,
[final] ).
cnf(c_0_79,plain,
( sum(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ sum(X6,X7,X5)
| ~ product(X4,X7,X2)
| ~ product(X4,X6,X1) ),
c_0_60,
[final] ).
cnf(c_0_80,plain,
( product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X5)
| ~ product(X4,X6,X1) ),
c_0_61,
[final] ).
cnf(c_0_81,plain,
( product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X5,X2)
| ~ product(X1,X6,X4) ),
c_0_62,
[final] ).
cnf(c_0_82,plain,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X2,X5)
| ~ sum(X4,X6,X1) ),
c_0_63,
[final] ).
cnf(c_0_83,plain,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X5,X2)
| ~ sum(X1,X6,X4) ),
c_0_64,
[final] ).
cnf(c_0_84,plain,
( X1 = X2
| ~ sum(X2,X3,X4)
| ~ sum(X1,X3,X4) ),
c_0_65,
[final] ).
cnf(c_0_85,plain,
( X1 = X2
| ~ sum(X3,X2,X4)
| ~ sum(X3,X1,X4) ),
c_0_66,
[final] ).
cnf(c_0_86,plain,
( X1 = X2
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
c_0_67,
[final] ).
cnf(c_0_87,plain,
( X1 = X2
| ~ sum(X3,X4,X2)
| ~ sum(X3,X4,X1) ),
c_0_68,
[final] ).
cnf(c_0_88,plain,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
c_0_69,
[final] ).
cnf(c_0_89,plain,
sum(X1,X2,add(X1,X2)),
c_0_70,
[final] ).
cnf(c_0_90,plain,
product(X1,X2,multiply(X1,X2)),
c_0_71,
[final] ).
cnf(c_0_91,plain,
sum(X1,additive_inverse(X1),additive_identity),
c_0_72,
[final] ).
cnf(c_0_92,plain,
sum(additive_inverse(X1),X1,additive_identity),
c_0_73,
[final] ).
cnf(c_0_93,plain,
sum(X1,additive_identity,X1),
c_0_74,
[final] ).
cnf(c_0_94,plain,
sum(additive_identity,X1,X1),
c_0_75,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_76_0,axiom,
( product(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X7,X1)
| ~ product(X7,X2,X5)
| ~ product(X6,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_76_1,axiom,
( ~ sum(X4,X5,X3)
| product(X1,X2,X3)
| ~ sum(X6,X7,X1)
| ~ product(X7,X2,X5)
| ~ product(X6,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_76_2,axiom,
( ~ sum(X6,X7,X1)
| ~ sum(X4,X5,X3)
| product(X1,X2,X3)
| ~ product(X7,X2,X5)
| ~ product(X6,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_76_3,axiom,
( ~ product(X7,X2,X5)
| ~ sum(X6,X7,X1)
| ~ sum(X4,X5,X3)
| product(X1,X2,X3)
| ~ product(X6,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_76_4,axiom,
( ~ product(X6,X2,X4)
| ~ product(X7,X2,X5)
| ~ sum(X6,X7,X1)
| ~ sum(X4,X5,X3)
| product(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_77_0,axiom,
( sum(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ sum(X6,X7,X4)
| ~ product(X7,X5,X2)
| ~ product(X6,X5,X1) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_1,axiom,
( ~ product(X4,X5,X3)
| sum(X1,X2,X3)
| ~ sum(X6,X7,X4)
| ~ product(X7,X5,X2)
| ~ product(X6,X5,X1) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_2,axiom,
( ~ sum(X6,X7,X4)
| ~ product(X4,X5,X3)
| sum(X1,X2,X3)
| ~ product(X7,X5,X2)
| ~ product(X6,X5,X1) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_3,axiom,
( ~ product(X7,X5,X2)
| ~ sum(X6,X7,X4)
| ~ product(X4,X5,X3)
| sum(X1,X2,X3)
| ~ product(X6,X5,X1) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_4,axiom,
( ~ product(X6,X5,X1)
| ~ product(X7,X5,X2)
| ~ sum(X6,X7,X4)
| ~ product(X4,X5,X3)
| sum(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_78_0,axiom,
( product(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X7,X2)
| ~ product(X1,X7,X5)
| ~ product(X1,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_1,axiom,
( ~ sum(X4,X5,X3)
| product(X1,X2,X3)
| ~ sum(X6,X7,X2)
| ~ product(X1,X7,X5)
| ~ product(X1,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_2,axiom,
( ~ sum(X6,X7,X2)
| ~ sum(X4,X5,X3)
| product(X1,X2,X3)
| ~ product(X1,X7,X5)
| ~ product(X1,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_3,axiom,
( ~ product(X1,X7,X5)
| ~ sum(X6,X7,X2)
| ~ sum(X4,X5,X3)
| product(X1,X2,X3)
| ~ product(X1,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_4,axiom,
( ~ product(X1,X6,X4)
| ~ product(X1,X7,X5)
| ~ sum(X6,X7,X2)
| ~ sum(X4,X5,X3)
| product(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_79_0,axiom,
( sum(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ sum(X6,X7,X5)
| ~ product(X4,X7,X2)
| ~ product(X4,X6,X1) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_1,axiom,
( ~ product(X4,X5,X3)
| sum(X1,X2,X3)
| ~ sum(X6,X7,X5)
| ~ product(X4,X7,X2)
| ~ product(X4,X6,X1) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_2,axiom,
( ~ sum(X6,X7,X5)
| ~ product(X4,X5,X3)
| sum(X1,X2,X3)
| ~ product(X4,X7,X2)
| ~ product(X4,X6,X1) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_3,axiom,
( ~ product(X4,X7,X2)
| ~ sum(X6,X7,X5)
| ~ product(X4,X5,X3)
| sum(X1,X2,X3)
| ~ product(X4,X6,X1) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_4,axiom,
( ~ product(X4,X6,X1)
| ~ product(X4,X7,X2)
| ~ sum(X6,X7,X5)
| ~ product(X4,X5,X3)
| sum(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_80_0,axiom,
( product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X5)
| ~ product(X4,X6,X1) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_1,axiom,
( ~ product(X4,X5,X3)
| product(X1,X2,X3)
| ~ product(X6,X2,X5)
| ~ product(X4,X6,X1) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_2,axiom,
( ~ product(X6,X2,X5)
| ~ product(X4,X5,X3)
| product(X1,X2,X3)
| ~ product(X4,X6,X1) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_3,axiom,
( ~ product(X4,X6,X1)
| ~ product(X6,X2,X5)
| ~ product(X4,X5,X3)
| product(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_81_0,axiom,
( product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X5,X2)
| ~ product(X1,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_1,axiom,
( ~ product(X4,X5,X3)
| product(X1,X2,X3)
| ~ product(X6,X5,X2)
| ~ product(X1,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_2,axiom,
( ~ product(X6,X5,X2)
| ~ product(X4,X5,X3)
| product(X1,X2,X3)
| ~ product(X1,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_3,axiom,
( ~ product(X1,X6,X4)
| ~ product(X6,X5,X2)
| ~ product(X4,X5,X3)
| product(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_82_0,axiom,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X2,X5)
| ~ sum(X4,X6,X1) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_1,axiom,
( ~ sum(X4,X5,X3)
| sum(X1,X2,X3)
| ~ sum(X6,X2,X5)
| ~ sum(X4,X6,X1) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_2,axiom,
( ~ sum(X6,X2,X5)
| ~ sum(X4,X5,X3)
| sum(X1,X2,X3)
| ~ sum(X4,X6,X1) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_3,axiom,
( ~ sum(X4,X6,X1)
| ~ sum(X6,X2,X5)
| ~ sum(X4,X5,X3)
| sum(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_83_0,axiom,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X5,X2)
| ~ sum(X1,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_1,axiom,
( ~ sum(X4,X5,X3)
| sum(X1,X2,X3)
| ~ sum(X6,X5,X2)
| ~ sum(X1,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_2,axiom,
( ~ sum(X6,X5,X2)
| ~ sum(X4,X5,X3)
| sum(X1,X2,X3)
| ~ sum(X1,X6,X4) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_3,axiom,
( ~ sum(X1,X6,X4)
| ~ sum(X6,X5,X2)
| ~ sum(X4,X5,X3)
| sum(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_84_0,axiom,
( X1 = X2
| ~ sum(X2,X3,X4)
| ~ sum(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_1,axiom,
( ~ sum(X2,X3,X4)
| X1 = X2
| ~ sum(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_2,axiom,
( ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_85_0,axiom,
( X1 = X2
| ~ sum(X3,X2,X4)
| ~ sum(X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_1,axiom,
( ~ sum(X3,X2,X4)
| X1 = X2
| ~ sum(X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_2,axiom,
( ~ sum(X3,X1,X4)
| ~ sum(X3,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_86_0,axiom,
( X1 = X2
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_1,axiom,
( ~ product(X3,X4,X2)
| X1 = X2
| ~ product(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_2,axiom,
( ~ product(X3,X4,X1)
| ~ product(X3,X4,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_87_0,axiom,
( X1 = X2
| ~ sum(X3,X4,X2)
| ~ sum(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_1,axiom,
( ~ sum(X3,X4,X2)
| X1 = X2
| ~ sum(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_2,axiom,
( ~ sum(X3,X4,X1)
| ~ sum(X3,X4,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_88_0,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_1,axiom,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_89_0,axiom,
sum(X1,X2,add(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_90_0,axiom,
product(X1,X2,multiply(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_91_0,axiom,
sum(X1,additive_inverse(X1),additive_identity),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_92_0,axiom,
sum(additive_inverse(X1),X1,additive_identity),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_93_0,axiom,
sum(X1,additive_identity,X1),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
cnf(c_0_94_0,axiom,
sum(additive_identity,X1,X1),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('<stdin>',prove_a_times_additive_id_is_additive_id) ).
fof(c_0_1_002,negated_conjecture,
~ product(a,additive_identity,additive_identity),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2_003,negated_conjecture,
~ product(a,additive_identity,additive_identity),
c_0_1 ).
cnf(c_0_3_004,negated_conjecture,
~ product(a,additive_identity,additive_identity),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
~ product(a,additive_identity,additive_identity),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_24,plain,
( sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X1,X4)
| ~ sum(X3,X5,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_82_3) ).
cnf(c_1411629,plain,
( sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X1,X4)
| ~ sum(X3,X5,X0) ),
inference(copy,[status(esa)],[c_24]) ).
cnf(c_1412615,plain,
( sum(X0,X1,multiply(a,X2))
| ~ sum(X3,X4,multiply(a,X2))
| ~ sum(X5,X1,X4)
| ~ sum(X3,X5,X0) ),
inference(instantiation,[status(thm)],[c_1411629]) ).
cnf(c_1455959,plain,
( ~ sum(multiply(a,X0),additive_identity,multiply(a,X0))
| ~ sum(multiply(a,X0),X1,X2)
| ~ sum(X1,X3,additive_identity)
| sum(X2,X3,multiply(a,X0)) ),
inference(instantiation,[status(thm)],[c_1412615]) ).
cnf(c_1825838,plain,
( ~ sum(multiply(a,additive_identity),X0,additive_identity)
| ~ sum(multiply(a,X1),additive_identity,multiply(a,X1))
| ~ sum(multiply(a,X1),multiply(a,additive_identity),multiply(a,X2))
| sum(multiply(a,X2),X0,multiply(a,X1)) ),
inference(instantiation,[status(thm)],[c_1455959]) ).
cnf(c_2662539,plain,
( ~ sum(multiply(a,additive_identity),additive_inverse(multiply(a,additive_identity)),additive_identity)
| ~ sum(multiply(a,X0),additive_identity,multiply(a,X0))
| sum(multiply(a,X1),additive_inverse(multiply(a,additive_identity)),multiply(a,X0))
| ~ sum(multiply(a,X0),multiply(a,additive_identity),multiply(a,X1)) ),
inference(instantiation,[status(thm)],[c_1825838]) ).
cnf(c_2662542,plain,
( ~ sum(multiply(a,additive_identity),additive_identity,multiply(a,additive_identity))
| ~ sum(multiply(a,additive_identity),additive_inverse(multiply(a,additive_identity)),additive_identity)
| sum(multiply(a,additive_identity),additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity))
| ~ sum(multiply(a,additive_identity),multiply(a,additive_identity),multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_2662539]) ).
cnf(c_7,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_88_0) ).
cnf(c_1411612,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(copy,[status(esa)],[c_7]) ).
cnf(c_1782975,plain,
( sum(additive_inverse(multiply(a,additive_identity)),X0,X1)
| ~ sum(X0,additive_inverse(multiply(a,additive_identity)),X1) ),
inference(instantiation,[status(thm)],[c_1411612]) ).
cnf(c_2363177,plain,
( sum(additive_inverse(multiply(a,additive_identity)),multiply(a,X0),multiply(a,X0))
| ~ sum(multiply(a,X0),additive_inverse(multiply(a,additive_identity)),multiply(a,X0)) ),
inference(instantiation,[status(thm)],[c_1782975]) ).
cnf(c_2363178,plain,
( sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),multiply(a,additive_identity))
| ~ sum(multiply(a,additive_identity),additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_2363177]) ).
cnf(c_21,plain,
( ~ sum(X0,X1,X2)
| sum(X0,X3,X4)
| ~ sum(X2,X5,X4)
| ~ sum(X1,X5,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_83_2) ).
cnf(c_1411626,plain,
( ~ sum(X0,X1,X2)
| sum(X0,X3,X4)
| ~ sum(X2,X5,X4)
| ~ sum(X1,X5,X3) ),
inference(copy,[status(esa)],[c_21]) ).
cnf(c_1411789,plain,
( sum(X0,X1,a)
| ~ sum(X2,X3,a)
| ~ sum(X0,X4,X2)
| ~ sum(X4,X3,X1) ),
inference(instantiation,[status(thm)],[c_1411626]) ).
cnf(c_1412803,plain,
( ~ sum(add(a,X0),X1,a)
| ~ sum(X2,X3,add(a,X0))
| sum(X2,X4,a)
| ~ sum(X3,X1,X4) ),
inference(instantiation,[status(thm)],[c_1411789]) ).
cnf(c_1413198,plain,
( ~ sum(add(a,X0),X1,a)
| ~ sum(a,X0,add(a,X0))
| sum(a,X2,a)
| ~ sum(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_1412803]) ).
cnf(c_1456804,plain,
( ~ sum(add(a,X0),X1,a)
| sum(a,multiply(a,X2),a)
| ~ sum(a,X0,add(a,X0))
| ~ sum(X0,X1,multiply(a,X2)) ),
inference(instantiation,[status(thm)],[c_1413198]) ).
cnf(c_1825870,plain,
( ~ sum(add(a,X0),multiply(a,additive_identity),a)
| sum(a,multiply(a,X1),a)
| ~ sum(a,X0,add(a,X0))
| ~ sum(X0,multiply(a,additive_identity),multiply(a,X1)) ),
inference(instantiation,[status(thm)],[c_1456804]) ).
cnf(c_2206797,plain,
( ~ sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),multiply(a,X0))
| ~ sum(add(a,additive_inverse(multiply(a,additive_identity))),multiply(a,additive_identity),a)
| ~ sum(a,additive_inverse(multiply(a,additive_identity)),add(a,additive_inverse(multiply(a,additive_identity))))
| sum(a,multiply(a,X0),a) ),
inference(instantiation,[status(thm)],[c_1825870]) ).
cnf(c_2206800,plain,
( ~ sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),multiply(a,additive_identity))
| ~ sum(add(a,additive_inverse(multiply(a,additive_identity))),multiply(a,additive_identity),a)
| ~ sum(a,additive_inverse(multiply(a,additive_identity)),add(a,additive_inverse(multiply(a,additive_identity))))
| sum(a,multiply(a,additive_identity),a) ),
inference(instantiation,[status(thm)],[c_2206797]) ).
cnf(c_36,plain,
( sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X5,X6,X4)
| ~ product(X3,X6,X1)
| ~ product(X3,X5,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_79_4) ).
cnf(c_1411641,plain,
( sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X5,X6,X4)
| ~ product(X3,X6,X1)
| ~ product(X3,X5,X0) ),
inference(copy,[status(esa)],[c_36]) ).
cnf(c_1412855,plain,
( sum(X0,multiply(a,additive_identity),X1)
| ~ sum(X2,X3,X4)
| ~ product(X5,X3,multiply(a,additive_identity))
| ~ product(X5,X4,X1)
| ~ product(X5,X2,X0) ),
inference(instantiation,[status(thm)],[c_1411641]) ).
cnf(c_1658550,plain,
( ~ sum(X0,additive_identity,X1)
| sum(X2,multiply(a,additive_identity),X3)
| ~ product(a,additive_identity,multiply(a,additive_identity))
| ~ product(a,X1,X3)
| ~ product(a,X0,X2) ),
inference(instantiation,[status(thm)],[c_1412855]) ).
cnf(c_1821588,plain,
( ~ sum(X0,additive_identity,X1)
| sum(X2,multiply(a,additive_identity),multiply(a,X1))
| ~ product(a,additive_identity,multiply(a,additive_identity))
| ~ product(a,X1,multiply(a,X1))
| ~ product(a,X0,X2) ),
inference(instantiation,[status(thm)],[c_1658550]) ).
cnf(c_1825837,plain,
( sum(multiply(a,X0),multiply(a,additive_identity),multiply(a,X1))
| ~ sum(X2,additive_identity,X1)
| ~ product(a,additive_identity,multiply(a,additive_identity))
| ~ product(a,X1,multiply(a,X1))
| ~ product(a,X2,multiply(a,X0)) ),
inference(instantiation,[status(thm)],[c_1821588]) ).
cnf(c_1825843,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| sum(multiply(a,additive_identity),multiply(a,additive_identity),multiply(a,additive_identity))
| ~ product(a,additive_identity,multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_1825837]) ).
cnf(c_20,plain,
( sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X4,X1)
| ~ sum(X0,X5,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_83_3) ).
cnf(c_1411625,plain,
( sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X4,X1)
| ~ sum(X0,X5,X3) ),
inference(copy,[status(esa)],[c_20]) ).
cnf(c_1412706,plain,
( sum(additive_inverse(a),X0,additive_identity)
| ~ sum(additive_inverse(a),X1,X2)
| ~ sum(X2,X3,additive_identity)
| ~ sum(X1,X3,X0) ),
inference(instantiation,[status(thm)],[c_1411625]) ).
cnf(c_1601767,plain,
( ~ sum(additive_identity,X0,additive_identity)
| ~ sum(additive_inverse(a),a,additive_identity)
| sum(additive_inverse(a),X1,additive_identity)
| ~ sum(a,X0,X1) ),
inference(instantiation,[status(thm)],[c_1412706]) ).
cnf(c_1824007,plain,
( ~ sum(additive_identity,X0,additive_identity)
| sum(additive_inverse(a),add(a,X0),additive_identity)
| ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(a,X0,add(a,X0)) ),
inference(instantiation,[status(thm)],[c_1601767]) ).
cnf(c_1824008,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| sum(additive_inverse(a),add(a,additive_identity),additive_identity)
| ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(a,additive_identity,add(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_1824007]) ).
cnf(c_1412202,plain,
( sum(X0,multiply(a,additive_identity),additive_identity)
| ~ sum(X1,multiply(a,additive_identity),X2)
| ~ sum(X3,X2,additive_identity)
| ~ sum(X3,X1,X0) ),
inference(instantiation,[status(thm)],[c_1411629]) ).
cnf(c_1412875,plain,
( ~ sum(add(a,X0),multiply(a,additive_identity),a)
| sum(X1,multiply(a,additive_identity),additive_identity)
| ~ sum(X2,add(a,X0),X1)
| ~ sum(X2,a,additive_identity) ),
inference(instantiation,[status(thm)],[c_1412202]) ).
cnf(c_1654538,plain,
( ~ sum(additive_inverse(a),add(a,X0),X1)
| ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(add(a,X0),multiply(a,additive_identity),a)
| sum(X1,multiply(a,additive_identity),additive_identity) ),
inference(instantiation,[status(thm)],[c_1412875]) ).
cnf(c_1654539,plain,
( sum(additive_identity,multiply(a,additive_identity),additive_identity)
| ~ sum(additive_inverse(a),add(a,additive_identity),additive_identity)
| ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(add(a,additive_identity),multiply(a,additive_identity),a) ),
inference(instantiation,[status(thm)],[c_1654538]) ).
cnf(c_26,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X2,X3,X5)
| ~ sum(X0,X4,X5) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_82_1) ).
cnf(c_1411631,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X2,X3,X5)
| ~ sum(X0,X4,X5) ),
inference(copy,[status(esa)],[c_26]) ).
cnf(c_1411793,plain,
( sum(X0,X1,a)
| ~ sum(X2,X3,a)
| ~ sum(X2,X4,X0)
| ~ sum(X4,X1,X3) ),
inference(instantiation,[status(thm)],[c_1411631]) ).
cnf(c_1412532,plain,
( ~ sum(a,X0,a)
| ~ sum(a,X1,X2)
| sum(X2,X3,a)
| ~ sum(X1,X3,X0) ),
inference(instantiation,[status(thm)],[c_1411793]) ).
cnf(c_1413101,plain,
( sum(add(a,X0),X1,a)
| ~ sum(a,X0,add(a,X0))
| ~ sum(a,X2,a)
| ~ sum(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_1412532]) ).
cnf(c_1456300,plain,
( sum(add(a,X0),multiply(a,X1),a)
| ~ sum(a,X0,add(a,X0))
| ~ sum(a,X2,a)
| ~ sum(X0,multiply(a,X1),X2) ),
inference(instantiation,[status(thm)],[c_1413101]) ).
cnf(c_1502806,plain,
( ~ sum(additive_identity,multiply(a,X0),multiply(a,X0))
| sum(add(a,additive_identity),multiply(a,X0),a)
| ~ sum(a,additive_identity,add(a,additive_identity))
| ~ sum(a,multiply(a,X0),a) ),
inference(instantiation,[status(thm)],[c_1456300]) ).
cnf(c_1502807,plain,
( ~ sum(additive_identity,multiply(a,additive_identity),multiply(a,additive_identity))
| sum(add(a,additive_identity),multiply(a,additive_identity),a)
| ~ sum(a,additive_identity,add(a,additive_identity))
| ~ sum(a,multiply(a,additive_identity),a) ),
inference(instantiation,[status(thm)],[c_1502806]) ).
cnf(c_1411784,plain,
( sum(X0,X1,a)
| ~ sum(X2,X3,a)
| ~ sum(X4,X1,X3)
| ~ sum(X2,X4,X0) ),
inference(instantiation,[status(thm)],[c_1411629]) ).
cnf(c_1412100,plain,
( ~ sum(a,additive_identity,a)
| ~ sum(a,X0,X1)
| ~ sum(X0,X2,additive_identity)
| sum(X1,X2,a) ),
inference(instantiation,[status(thm)],[c_1411784]) ).
cnf(c_1412251,plain,
( sum(add(a,X0),X1,a)
| ~ sum(a,additive_identity,a)
| ~ sum(a,X0,add(a,X0))
| ~ sum(X0,X1,additive_identity) ),
inference(instantiation,[status(thm)],[c_1412100]) ).
cnf(c_1415249,plain,
( sum(add(a,X0),multiply(a,X1),a)
| ~ sum(a,additive_identity,a)
| ~ sum(a,X0,add(a,X0))
| ~ sum(X0,multiply(a,X1),additive_identity) ),
inference(instantiation,[status(thm)],[c_1412251]) ).
cnf(c_1455691,plain,
( ~ sum(additive_inverse(multiply(a,X0)),multiply(a,X0),additive_identity)
| sum(add(a,additive_inverse(multiply(a,X0))),multiply(a,X0),a)
| ~ sum(a,additive_identity,a)
| ~ sum(a,additive_inverse(multiply(a,X0)),add(a,additive_inverse(multiply(a,X0)))) ),
inference(instantiation,[status(thm)],[c_1415249]) ).
cnf(c_1455692,plain,
( ~ sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity)
| sum(add(a,additive_inverse(multiply(a,additive_identity))),multiply(a,additive_identity),a)
| ~ sum(a,additive_identity,a)
| ~ sum(a,additive_inverse(multiply(a,additive_identity)),add(a,additive_inverse(multiply(a,additive_identity)))) ),
inference(instantiation,[status(thm)],[c_1455691]) ).
cnf(c_5,plain,
sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_89_0) ).
cnf(c_463253,plain,
sum(X0,X1,add(X0,X1)),
inference(copy,[status(esa)],[c_5]) ).
cnf(c_1028174,plain,
sum(a,X0,add(a,X0)),
inference(instantiation,[status(thm)],[c_463253]) ).
cnf(c_1174472,plain,
sum(a,additive_inverse(multiply(a,X0)),add(a,additive_inverse(multiply(a,X0)))),
inference(instantiation,[status(thm)],[c_1028174]) ).
cnf(c_1174474,plain,
sum(a,additive_inverse(multiply(a,additive_identity)),add(a,additive_inverse(multiply(a,additive_identity)))),
inference(instantiation,[status(thm)],[c_1174472]) ).
cnf(c_463268,plain,
( sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X4,X1)
| ~ sum(X0,X5,X3) ),
inference(copy,[status(esa)],[c_20]) ).
cnf(c_547502,plain,
( sum(add(X0,multiply(X1,X2)),additive_identity,additive_identity)
| ~ sum(add(X0,multiply(X1,X2)),X3,X4)
| ~ sum(X4,X5,additive_identity)
| ~ sum(X3,X5,additive_identity) ),
inference(instantiation,[status(thm)],[c_463268]) ).
cnf(c_585031,plain,
( ~ sum(multiply(X0,X1),X2,additive_identity)
| sum(add(X3,multiply(X4,X5)),additive_identity,additive_identity)
| ~ sum(add(X3,multiply(X4,X5)),multiply(X0,X1),multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_547502]) ).
cnf(c_651165,plain,
( ~ sum(multiply(X0,X1),additive_inverse(multiply(X0,X1)),additive_identity)
| sum(add(X2,multiply(X3,X4)),additive_identity,additive_identity)
| ~ sum(add(X2,multiply(X3,X4)),multiply(X0,X1),multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_585031]) ).
cnf(c_651166,plain,
( ~ sum(multiply(additive_identity,additive_identity),additive_inverse(multiply(additive_identity,additive_identity)),additive_identity)
| sum(add(additive_identity,multiply(additive_identity,additive_identity)),additive_identity,additive_identity)
| ~ sum(add(additive_identity,multiply(additive_identity,additive_identity)),multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_651165]) ).
cnf(c_463674,plain,
( sum(multiply(X0,X1),multiply(X2,X3),X4)
| ~ sum(multiply(X0,X1),X5,X6)
| ~ sum(X5,X7,multiply(X2,X3))
| ~ sum(X6,X7,X4) ),
inference(instantiation,[status(thm)],[c_463268]) ).
cnf(c_616288,plain,
( ~ sum(multiply(X0,X1),multiply(X2,X3),add(X4,multiply(X2,X3)))
| sum(multiply(X0,X1),multiply(X5,X6),X7)
| ~ sum(multiply(X2,X3),X8,multiply(X5,X6))
| ~ sum(add(X4,multiply(X2,X3)),X8,X7) ),
inference(instantiation,[status(thm)],[c_463674]) ).
cnf(c_616289,plain,
( ~ sum(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,additive_identity))
| sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),additive_identity)
| ~ sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),add(additive_identity,multiply(additive_identity,additive_identity)))
| ~ sum(add(additive_identity,multiply(additive_identity,additive_identity)),additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_616288]) ).
cnf(c_463272,plain,
( sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X1,X4)
| ~ sum(X3,X5,X0) ),
inference(copy,[status(esa)],[c_24]) ).
cnf(c_467031,plain,
( sum(multiply(X0,X1),X2,X3)
| ~ sum(X4,X5,multiply(X0,X1))
| ~ sum(X4,X6,X3)
| ~ sum(X5,X2,X6) ),
inference(instantiation,[status(thm)],[c_463272]) ).
cnf(c_512754,plain,
( ~ sum(additive_identity,multiply(X0,X1),multiply(X0,X1))
| ~ sum(additive_identity,X2,X3)
| sum(multiply(X0,X1),X4,X3)
| ~ sum(multiply(X0,X1),X4,X2) ),
inference(instantiation,[status(thm)],[c_467031]) ).
cnf(c_547973,plain,
( ~ sum(additive_identity,multiply(X0,X1),multiply(X0,X1))
| ~ sum(additive_identity,multiply(X2,X3),X4)
| ~ sum(multiply(X0,X1),multiply(X0,X5),multiply(X2,X3))
| sum(multiply(X0,X1),multiply(X0,X5),X4) ),
inference(instantiation,[status(thm)],[c_512754]) ).
cnf(c_614028,plain,
( ~ sum(additive_identity,multiply(X0,X1),multiply(X0,X1))
| ~ sum(additive_identity,multiply(X2,X3),add(additive_identity,multiply(X2,X3)))
| ~ sum(multiply(X0,X1),multiply(X0,X4),multiply(X2,X3))
| sum(multiply(X0,X1),multiply(X0,X4),add(additive_identity,multiply(X2,X3))) ),
inference(instantiation,[status(thm)],[c_547973]) ).
cnf(c_614029,plain,
( ~ sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
| ~ sum(additive_identity,multiply(additive_identity,additive_identity),add(additive_identity,multiply(additive_identity,additive_identity)))
| ~ sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
| sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),add(additive_identity,multiply(additive_identity,additive_identity))) ),
inference(instantiation,[status(thm)],[c_614028]) ).
cnf(c_467001,plain,
( sum(X0,multiply(X1,X2),X3)
| ~ sum(X4,multiply(X1,X2),X5)
| ~ sum(X6,X5,X3)
| ~ sum(X6,X4,X0) ),
inference(instantiation,[status(thm)],[c_463272]) ).
cnf(c_511259,plain,
( ~ sum(additive_identity,multiply(X0,X1),multiply(X0,X1))
| ~ sum(X2,additive_identity,X3)
| sum(X3,multiply(X0,X1),X4)
| ~ sum(X2,multiply(X0,X1),X4) ),
inference(instantiation,[status(thm)],[c_467001]) ).
cnf(c_512112,plain,
( ~ sum(additive_identity,multiply(X0,X1),multiply(X0,X1))
| ~ sum(multiply(X0,X2),additive_identity,X3)
| ~ sum(multiply(X0,X2),multiply(X0,X1),multiply(X4,X5))
| sum(X3,multiply(X0,X1),multiply(X4,X5)) ),
inference(instantiation,[status(thm)],[c_511259]) ).
cnf(c_550009,plain,
( ~ sum(additive_identity,multiply(X0,X1),multiply(X0,X1))
| ~ sum(multiply(X0,X2),additive_identity,add(X3,multiply(X4,X5)))
| ~ sum(multiply(X0,X2),multiply(X0,X1),multiply(X6,X7))
| sum(add(X3,multiply(X4,X5)),multiply(X0,X1),multiply(X6,X7)) ),
inference(instantiation,[status(thm)],[c_512112]) ).
cnf(c_550010,plain,
( ~ sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
| ~ sum(multiply(additive_identity,additive_identity),additive_identity,add(additive_identity,multiply(additive_identity,additive_identity)))
| ~ sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
| sum(add(additive_identity,multiply(additive_identity,additive_identity)),multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_550009]) ).
cnf(c_78,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(copy,[status(esa)],[c_7]) ).
cnf(c_26874,plain,
( sum(multiply(X0,X1),X2,X3)
| ~ sum(X2,multiply(X0,X1),X3) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_315640,plain,
( sum(multiply(X0,X1),X2,add(X2,multiply(X0,X1)))
| ~ sum(X2,multiply(X0,X1),add(X2,multiply(X0,X1))) ),
inference(instantiation,[status(thm)],[c_26874]) ).
cnf(c_315641,plain,
( ~ sum(additive_identity,multiply(additive_identity,additive_identity),add(additive_identity,multiply(additive_identity,additive_identity)))
| sum(multiply(additive_identity,additive_identity),additive_identity,add(additive_identity,multiply(additive_identity,additive_identity))) ),
inference(instantiation,[status(thm)],[c_315640]) ).
cnf(c_1,plain,
sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_93_0) ).
cnf(c_72,plain,
sum(X0,additive_identity,X0),
inference(copy,[status(esa)],[c_1]) ).
cnf(c_26863,plain,
sum(multiply(X0,X1),additive_identity,multiply(X0,X1)),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_263877,plain,
sum(multiply(a,X0),additive_identity,multiply(a,X0)),
inference(instantiation,[status(thm)],[c_26863]) ).
cnf(c_263878,plain,
sum(multiply(a,additive_identity),additive_identity,multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[c_263877]) ).
cnf(c_0,plain,
sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_94_0) ).
cnf(c_71,plain,
sum(additive_identity,X0,X0),
inference(copy,[status(esa)],[c_0]) ).
cnf(c_26823,plain,
sum(additive_identity,multiply(X0,X1),multiply(X0,X1)),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_263873,plain,
sum(additive_identity,multiply(a,X0),multiply(a,X0)),
inference(instantiation,[status(thm)],[c_26823]) ).
cnf(c_263874,plain,
sum(additive_identity,multiply(a,additive_identity),multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[c_263873]) ).
cnf(c_52,plain,
( ~ product(X0,X1,X2)
| product(X3,X1,X4)
| ~ sum(X2,X5,X4)
| ~ sum(X0,X6,X3)
| ~ product(X6,X1,X5) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_76_3) ).
cnf(c_123,plain,
( ~ product(X0,X1,X2)
| product(X3,X1,X4)
| ~ sum(X2,X5,X4)
| ~ sum(X0,X6,X3)
| ~ product(X6,X1,X5) ),
inference(copy,[status(esa)],[c_52]) ).
cnf(c_54782,plain,
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X3,a)
| product(a,additive_identity,additive_identity)
| ~ product(X2,additive_identity,X0)
| ~ product(X3,additive_identity,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_148141,plain,
( ~ sum(X0,a,a)
| ~ sum(X1,X2,additive_identity)
| product(a,additive_identity,additive_identity)
| ~ product(a,additive_identity,X2)
| ~ product(X0,additive_identity,X1) ),
inference(instantiation,[status(thm)],[c_54782]) ).
cnf(c_194891,plain,
( ~ sum(X0,multiply(a,additive_identity),additive_identity)
| ~ sum(X1,a,a)
| product(a,additive_identity,additive_identity)
| ~ product(a,additive_identity,multiply(a,additive_identity))
| ~ product(X1,additive_identity,X0) ),
inference(instantiation,[status(thm)],[c_148141]) ).
cnf(c_194892,plain,
( ~ sum(additive_identity,multiply(a,additive_identity),additive_identity)
| ~ sum(additive_identity,a,a)
| ~ product(additive_identity,additive_identity,additive_identity)
| product(a,additive_identity,additive_identity)
| ~ product(a,additive_identity,multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_194891]) ).
cnf(c_3,plain,
sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_91_0) ).
cnf(c_74,plain,
sum(X0,additive_inverse(X0),additive_identity),
inference(copy,[status(esa)],[c_3]) ).
cnf(c_26867,plain,
sum(multiply(X0,X1),additive_inverse(multiply(X0,X1)),additive_identity),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_102225,plain,
sum(multiply(a,X0),additive_inverse(multiply(a,X0)),additive_identity),
inference(instantiation,[status(thm)],[c_26867]) ).
cnf(c_102227,plain,
sum(multiply(a,additive_identity),additive_inverse(multiply(a,additive_identity)),additive_identity),
inference(instantiation,[status(thm)],[c_102225]) ).
cnf(c_2,plain,
sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_92_0) ).
cnf(c_73,plain,
sum(additive_inverse(X0),X0,additive_identity),
inference(copy,[status(esa)],[c_2]) ).
cnf(c_26827,plain,
sum(additive_inverse(multiply(X0,X1)),multiply(X0,X1),additive_identity),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_101923,plain,
sum(additive_inverse(multiply(a,X0)),multiply(a,X0),additive_identity),
inference(instantiation,[status(thm)],[c_26827]) ).
cnf(c_101925,plain,
sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity),
inference(instantiation,[status(thm)],[c_101923]) ).
cnf(c_99877,plain,
sum(additive_inverse(a),a,additive_identity),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_76,plain,
sum(X0,X1,add(X0,X1)),
inference(copy,[status(esa)],[c_5]) ).
cnf(c_99847,plain,
sum(a,X0,add(a,X0)),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_99849,plain,
sum(a,additive_identity,add(a,additive_identity)),
inference(instantiation,[status(thm)],[c_99847]) ).
cnf(c_55222,plain,
sum(a,additive_identity,a),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_55220,plain,
sum(additive_identity,a,a),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_4,plain,
product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_90_0) ).
cnf(c_75,plain,
product(X0,X1,multiply(X0,X1)),
inference(copy,[status(esa)],[c_4]) ).
cnf(c_55056,plain,
product(a,X0,multiply(a,X0)),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_55057,plain,
product(a,additive_identity,multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[c_55056]) ).
cnf(c_26869,plain,
sum(multiply(additive_identity,additive_identity),additive_inverse(multiply(additive_identity,additive_identity)),additive_identity),
inference(instantiation,[status(thm)],[c_26867]) ).
cnf(c_26865,plain,
sum(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,additive_identity)),
inference(instantiation,[status(thm)],[c_26863]) ).
cnf(c_26831,plain,
sum(X0,multiply(X1,X2),add(X0,multiply(X1,X2))),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_26833,plain,
sum(additive_identity,multiply(additive_identity,additive_identity),add(additive_identity,multiply(additive_identity,additive_identity))),
inference(instantiation,[status(thm)],[c_26831]) ).
cnf(c_26825,plain,
sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)),
inference(instantiation,[status(thm)],[c_26823]) ).
cnf(c_46,plain,
( sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X5,X6,X3)
| ~ product(X6,X4,X1)
| ~ product(X5,X4,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_77_4) ).
cnf(c_117,plain,
( sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X5,X6,X3)
| ~ product(X6,X4,X1)
| ~ product(X5,X4,X0) ),
inference(copy,[status(esa)],[c_46]) ).
cnf(c_23440,plain,
( sum(multiply(X0,X1),multiply(X0,X2),X3)
| ~ sum(X4,X5,X6)
| ~ product(X5,X7,multiply(X0,X2))
| ~ product(X4,X7,multiply(X0,X1))
| ~ product(X6,X7,X3) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_23992,plain,
( sum(multiply(X0,X1),multiply(X0,X2),multiply(X3,X4))
| ~ sum(X5,X6,X3)
| ~ product(X6,X4,multiply(X0,X2))
| ~ product(X5,X4,multiply(X0,X1))
| ~ product(X3,X4,multiply(X3,X4)) ),
inference(instantiation,[status(thm)],[c_23440]) ).
cnf(c_23993,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_23992]) ).
cnf(c_41,plain,
( product(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X6,X1)
| ~ product(X0,X6,X4)
| ~ product(X0,X5,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_78_4) ).
cnf(c_112,plain,
( product(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X6,X1)
| ~ product(X0,X6,X4)
| ~ product(X0,X5,X3) ),
inference(copy,[status(esa)],[c_41]) ).
cnf(c_23081,plain,
( ~ sum(X0,multiply(X1,X2),X3)
| ~ sum(X4,X2,X5)
| ~ product(X1,X2,multiply(X1,X2))
| product(X1,X5,X3)
| ~ product(X1,X4,X0) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_23120,plain,
( ~ sum(multiply(X0,X1),multiply(X0,X2),X3)
| ~ sum(X1,X2,X4)
| ~ product(X0,X2,multiply(X0,X2))
| ~ product(X0,X1,multiply(X0,X1))
| product(X0,X4,X3) ),
inference(instantiation,[status(thm)],[c_23081]) ).
cnf(c_23121,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),additive_identity)
| product(additive_identity,additive_identity,additive_identity)
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_23120]) ).
cnf(c_63,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(instantiation,[status(thm)],[c_1]) ).
cnf(c_60,plain,
product(additive_identity,additive_identity,multiply(additive_identity,additive_identity)),
inference(instantiation,[status(thm)],[c_4]) ).
cnf(c_56,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f65184.p',c_0_4) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_2662542,c_2363178,c_2206800,c_1825843,c_1824008,c_1654539,c_1502807,c_1455692,c_1174474,c_651166,c_616289,c_614029,c_550010,c_315641,c_263878,c_263874,c_194892,c_102227,c_101925,c_99877,c_99849,c_55222,c_55220,c_55057,c_26869,c_26865,c_26833,c_26825,c_23993,c_23121,c_63,c_60,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 18:33:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % 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_0a7408.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_f65184.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_5c8954 | 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_0a7408.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_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 true
% 0.19/0.43 % Has equality true
% 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
% 150.20/150.42 % --inst_prop_sim_new false
% 150.20/150.42 % --inst_orphan_elimination true
% 150.20/150.42 % --inst_learning_loop_flag true
% 150.20/150.42 % --inst_learning_start 3000
% 150.20/150.42 % --inst_learning_factor 2
% 150.20/150.42 % --inst_start_prop_sim_after_learn 3
% 150.20/150.42 % --inst_sel_renew solver
% 150.20/150.42 % --inst_lit_activity_flag true
% 150.20/150.42 % --inst_out_proof true
% 150.20/150.42
% 150.20/150.42 % ------ Resolution Options
% 150.20/150.42
% 150.20/150.42 % --resolution_flag true
% 150.20/150.42 % --res_lit_sel kbo_max
% 150.20/150.42 % --res_to_prop_solver none
% 150.20/150.42 % --res_prop_simpl_new false
% 150.20/150.42 % --res_prop_simpl_given false
% 150.20/150.42 % --res_passive_queue_type priority_queues
% 150.20/150.42 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.20/150.42 % --res_passive_queues_freq [15;5]
% 150.20/150.42 % --res_forward_subs full
% 150.20/150.42 % --res_backward_subs full
% 150.20/150.42 % --res_forward_subs_resolution true
% 150.20/150.42 % --res_backward_subs_resolution true
% 150.20/150.42 % --res_orphan_elimination false
% 150.20/150.42 % --res_time_limit 1000.
% 150.20/150.42 % --res_out_proof true
% 150.20/150.42 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_0a7408.s
% 150.20/150.42 % --modulo true
% 150.20/150.42
% 150.20/150.42 % ------ Combination Options
% 150.20/150.42
% 150.20/150.42 % --comb_res_mult 1000
% 150.20/150.42 % --comb_inst_mult 300
% 150.20/150.42 % ------
% 150.20/150.42
% 150.20/150.42
% 150.20/150.42
% 150.20/150.42 % ------ Proving...
% 150.20/150.42 %
% 150.20/150.42
% 150.20/150.42
% 150.20/150.42 % Time Out Real
% 150.20/150.42
% 150.20/150.42 % ------ Statistics
% 150.20/150.42
% 150.20/150.42 % ------ General
% 150.20/150.42
% 150.20/150.42 % num_of_input_clauses: 57
% 150.20/150.42 % num_of_input_neg_conjectures: 1
% 150.20/150.42 % num_of_splits: 0
% 150.20/150.42 % num_of_split_atoms: 0
% 150.20/150.42 % num_of_sem_filtered_clauses: 0
% 150.20/150.42 % num_of_subtypes: 0
% 150.20/150.42 % monotx_restored_types: 0
% 150.20/150.42 % sat_num_of_epr_types: 0
% 150.20/150.42 % sat_num_of_non_cyclic_types: 0
% 150.20/150.42 % sat_guarded_non_collapsed_types: 0
% 150.20/150.42 % is_epr: 0
% 150.20/150.42 % is_horn: 1
% 150.20/150.42 % has_eq: 1
% 150.20/150.42 % num_pure_diseq_elim: 0
% 150.20/150.42 % simp_replaced_by: 0
% 150.20/150.42 % res_preprocessed: 2
% 150.20/150.42 % prep_upred: 0
% 150.20/150.42 % prep_unflattend: 0
% 150.20/150.42 % pred_elim_cands: 0
% 150.20/150.42 % pred_elim: 0
% 150.20/150.42 % pred_elim_cl: 0
% 150.20/150.42 % pred_elim_cycles: 0
% 150.20/150.42 % forced_gc_time: 0
% 150.20/150.42 % gc_basic_clause_elim: 0
% 150.20/150.42 % parsing_time: 0.003
% 150.20/150.42 % sem_filter_time: 0.
% 150.20/150.42 % pred_elim_time: 0.
% 150.20/150.42 % out_proof_time: 0.
% 150.20/150.42 % monotx_time: 0.
% 150.20/150.42 % subtype_inf_time: 0.
% 150.20/150.42 % unif_index_cands_time: 0.066
% 150.20/150.42 % unif_index_add_time: 0.02
% 150.20/150.42 % total_time: 150.017
% 150.20/150.42 % num_of_symbols: 32
% 150.20/150.42 % num_of_terms: 93469
% 150.20/150.42
% 150.20/150.42 % ------ Propositional Solver
% 150.20/150.42
% 150.20/150.42 % prop_solver_calls: 15
% 150.20/150.42 % prop_fast_solver_calls: 3
% 150.20/150.42 % prop_num_of_clauses: 5230
% 150.20/150.42 % prop_preprocess_simplified: 12215
% 150.20/150.42 % prop_fo_subsumed: 0
% 150.20/150.42 % prop_solver_time: 0.
% 150.20/150.42 % prop_fast_solver_time: 0.
% 150.20/150.42 % prop_unsat_core_time: 0.
% 150.20/150.42
% 150.20/150.42 % ------ QBF
% 150.20/150.42
% 150.20/150.42 % qbf_q_res: 0
% 150.20/150.42 % qbf_num_tautologies: 0
% 150.20/150.42 % qbf_prep_cycles: 0
% 150.20/150.42
% 150.20/150.42 % ------ BMC1
% 150.20/150.42
% 150.20/150.42 % bmc1_current_bound: -1
% 150.20/150.42 % bmc1_last_solved_bound: -1
% 150.20/150.42 % bmc1_unsat_core_size: -1
% 150.20/150.42 % bmc1_unsat_core_parents_size: -1
% 150.20/150.42 % bmc1_merge_next_fun: 0
% 150.20/150.42 % bmc1_unsat_core_clauses_time: 0.
% 150.20/150.42
% 150.20/150.42 % ------ Instantiation
% 150.20/150.42
% 150.20/150.42 % inst_num_of_clauses: 4787
% 150.20/150.42 % inst_num_in_passive: 2827
% 150.20/150.42 % inst_num_in_active: 1056
% 150.20/150.42 % inst_num_in_unprocessed: 900
% 150.20/150.42 % inst_num_of_loops: 1500
% 150.24/150.43 % inst_num_of_learning_restarts: 0
% 150.24/150.43 % inst_num_moves_active_passive: 437
% 150.24/150.43 % inst_lit_activity: 696
% 150.24/150.43 % inst_lit_activity_moves: 1
% 150.24/150.43 % inst_num_tautologies: 4
% 150.24/150.43 % inst_num_prop_implied: 0
% 150.24/150.43 % inst_num_existing_simplified: 0
% 150.24/150.43 % inst_num_eq_res_simplified: 0
% 150.24/150.43 % inst_num_child_elim: 0
% 150.24/150.43 % inst_num_of_dismatching_blockings: 17131
% 150.24/150.43 % inst_num_of_non_proper_insts: 15407
% 150.24/150.43 % inst_num_of_duplicates: 20759
% 150.24/150.43 % inst_inst_num_from_inst_to_res: 0
% 150.24/150.43 % inst_dismatching_checking_time: 0.062
% 150.24/150.43
% 150.24/150.43 % ------ Resolution
% 150.24/150.43
% 150.24/150.43 % res_num_of_clauses: 628693
% 150.24/150.43 % res_num_in_passive: 622923
% 150.24/150.43 % res_num_in_active: 5741
% 150.24/150.43 % res_num_of_loops: 5939
% 150.24/150.43 % res_forward_subset_subsumed: 103651
% 150.24/150.43 % res_backward_subset_subsumed: 0
% 150.24/150.43 % res_forward_subsumed: 196
% 150.24/150.43 % res_backward_subsumed: 28
% 150.24/150.43 % res_forward_subsumption_resolution: 256
% 150.24/150.43 % res_backward_subsumption_resolution: 0
% 150.24/150.43 % res_clause_to_clause_subsumption: 1566026
% 150.24/150.43 % res_orphan_elimination: 0
% 150.24/150.43 % res_tautology_del: 2049
% 150.24/150.43 % res_num_eq_res_simplified: 0
% 150.24/150.43 % res_num_sel_changes: 0
% 150.24/150.43 % res_moves_from_active_to_pass: 0
% 150.24/150.43
% 150.24/150.43 % Status Unknown
% 150.27/150.46 % Orienting using strategy ClausalAll
% 150.27/150.46 % Orientation found
% 150.27/150.46 % 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_0a7408.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_f65184.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_a16332 | grep -v "SZS"
% 150.27/150.47
% 150.27/150.47 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.27/150.47
% 150.27/150.47 %
% 150.27/150.47 % ------ iProver source info
% 150.27/150.47
% 150.27/150.47 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.27/150.47 % git: non_committed_changes: true
% 150.27/150.47 % git: last_make_outside_of_git: true
% 150.27/150.47
% 150.27/150.47 %
% 150.27/150.47 % ------ Input Options
% 150.27/150.47
% 150.27/150.47 % --out_options all
% 150.27/150.47 % --tptp_safe_out true
% 150.27/150.47 % --problem_path ""
% 150.27/150.47 % --include_path ""
% 150.27/150.47 % --clausifier .//eprover
% 150.27/150.47 % --clausifier_options --tstp-format
% 150.27/150.47 % --stdin false
% 150.27/150.47 % --dbg_backtrace false
% 150.27/150.47 % --dbg_dump_prop_clauses false
% 150.27/150.47 % --dbg_dump_prop_clauses_file -
% 150.27/150.47 % --dbg_out_stat false
% 150.27/150.47
% 150.27/150.47 % ------ General Options
% 150.27/150.47
% 150.27/150.47 % --fof false
% 150.27/150.47 % --time_out_real 150.
% 150.27/150.47 % --time_out_prep_mult 0.2
% 150.27/150.47 % --time_out_virtual -1.
% 150.27/150.47 % --schedule none
% 150.27/150.47 % --ground_splitting input
% 150.27/150.47 % --splitting_nvd 16
% 150.27/150.47 % --non_eq_to_eq false
% 150.27/150.47 % --prep_gs_sim true
% 150.27/150.47 % --prep_unflatten false
% 150.27/150.47 % --prep_res_sim true
% 150.27/150.47 % --prep_upred true
% 150.27/150.47 % --res_sim_input true
% 150.27/150.47 % --clause_weak_htbl true
% 150.27/150.47 % --gc_record_bc_elim false
% 150.27/150.47 % --symbol_type_check false
% 150.27/150.47 % --clausify_out false
% 150.27/150.47 % --large_theory_mode false
% 150.27/150.47 % --prep_sem_filter none
% 150.27/150.47 % --prep_sem_filter_out false
% 150.27/150.47 % --preprocessed_out false
% 150.27/150.47 % --sub_typing false
% 150.27/150.47 % --brand_transform false
% 150.27/150.47 % --pure_diseq_elim true
% 150.27/150.47 % --min_unsat_core false
% 150.27/150.47 % --pred_elim true
% 150.27/150.47 % --add_important_lit false
% 150.27/150.47 % --soft_assumptions false
% 150.27/150.47 % --reset_solvers false
% 150.27/150.47 % --bc_imp_inh []
% 150.27/150.47 % --conj_cone_tolerance 1.5
% 150.27/150.47 % --prolific_symb_bound 500
% 150.27/150.47 % --lt_threshold 2000
% 150.27/150.47
% 150.27/150.47 % ------ SAT Options
% 150.27/150.47
% 150.27/150.47 % --sat_mode false
% 150.27/150.47 % --sat_fm_restart_options ""
% 150.27/150.47 % --sat_gr_def false
% 150.27/150.47 % --sat_epr_types true
% 150.27/150.47 % --sat_non_cyclic_types false
% 150.27/150.47 % --sat_finite_models false
% 150.27/150.47 % --sat_fm_lemmas false
% 150.27/150.47 % --sat_fm_prep false
% 150.27/150.47 % --sat_fm_uc_incr true
% 150.27/150.47 % --sat_out_model small
% 150.27/150.47 % --sat_out_clauses false
% 150.27/150.47
% 150.27/150.47 % ------ QBF Options
% 150.27/150.47
% 150.27/150.47 % --qbf_mode false
% 150.27/150.47 % --qbf_elim_univ true
% 150.27/150.47 % --qbf_sk_in true
% 150.27/150.47 % --qbf_pred_elim true
% 150.27/150.47 % --qbf_split 32
% 150.27/150.47
% 150.27/150.47 % ------ BMC1 Options
% 150.27/150.47
% 150.27/150.47 % --bmc1_incremental false
% 150.27/150.47 % --bmc1_axioms reachable_all
% 150.27/150.47 % --bmc1_min_bound 0
% 150.27/150.47 % --bmc1_max_bound -1
% 150.27/150.47 % --bmc1_max_bound_default -1
% 150.27/150.47 % --bmc1_symbol_reachability true
% 150.27/150.47 % --bmc1_property_lemmas false
% 150.27/150.47 % --bmc1_k_induction false
% 150.27/150.47 % --bmc1_non_equiv_states false
% 150.27/150.47 % --bmc1_deadlock false
% 150.27/150.47 % --bmc1_ucm false
% 150.27/150.47 % --bmc1_add_unsat_core none
% 150.27/150.47 % --bmc1_unsat_core_children false
% 150.27/150.47 % --bmc1_unsat_core_extrapolate_axioms false
% 150.27/150.47 % --bmc1_out_stat full
% 150.27/150.47 % --bmc1_ground_init false
% 150.27/150.47 % --bmc1_pre_inst_next_state false
% 150.27/150.47 % --bmc1_pre_inst_state false
% 150.27/150.47 % --bmc1_pre_inst_reach_state false
% 150.27/150.47 % --bmc1_out_unsat_core false
% 150.27/150.47 % --bmc1_aig_witness_out false
% 150.27/150.47 % --bmc1_verbose false
% 150.27/150.47 % --bmc1_dump_clauses_tptp false
% 150.27/150.48 % --bmc1_dump_unsat_core_tptp false
% 150.27/150.48 % --bmc1_dump_file -
% 150.27/150.48 % --bmc1_ucm_expand_uc_limit 128
% 150.27/150.48 % --bmc1_ucm_n_expand_iterations 6
% 150.27/150.48 % --bmc1_ucm_extend_mode 1
% 150.27/150.48 % --bmc1_ucm_init_mode 2
% 150.27/150.48 % --bmc1_ucm_cone_mode none
% 150.27/150.48 % --bmc1_ucm_reduced_relation_type 0
% 150.27/150.48 % --bmc1_ucm_relax_model 4
% 150.27/150.48 % --bmc1_ucm_full_tr_after_sat true
% 150.27/150.48 % --bmc1_ucm_expand_neg_assumptions false
% 150.27/150.48 % --bmc1_ucm_layered_model none
% 150.27/150.48 % --bmc1_ucm_max_lemma_size 10
% 150.27/150.48
% 150.27/150.48 % ------ AIG Options
% 150.27/150.48
% 150.27/150.48 % --aig_mode false
% 150.27/150.48
% 150.27/150.48 % ------ Instantiation Options
% 150.27/150.48
% 150.27/150.48 % --instantiation_flag true
% 150.27/150.48 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.27/150.48 % --inst_solver_per_active 750
% 150.27/150.48 % --inst_solver_calls_frac 0.5
% 150.27/150.48 % --inst_passive_queue_type priority_queues
% 150.27/150.48 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.27/150.48 % --inst_passive_queues_freq [25;2]
% 150.27/150.48 % --inst_dismatching true
% 150.27/150.48 % --inst_eager_unprocessed_to_passive true
% 150.27/150.48 % --inst_prop_sim_given true
% 150.27/150.48 % --inst_prop_sim_new false
% 150.27/150.48 % --inst_orphan_elimination true
% 150.27/150.48 % --inst_learning_loop_flag true
% 150.27/150.48 % --inst_learning_start 3000
% 150.27/150.48 % --inst_learning_factor 2
% 150.27/150.48 % --inst_start_prop_sim_after_learn 3
% 150.27/150.48 % --inst_sel_renew solver
% 150.27/150.48 % --inst_lit_activity_flag true
% 150.27/150.48 % --inst_out_proof true
% 150.27/150.48
% 150.27/150.48 % ------ Resolution Options
% 150.27/150.48
% 150.27/150.48 % --resolution_flag true
% 150.27/150.48 % --res_lit_sel kbo_max
% 150.27/150.48 % --res_to_prop_solver none
% 150.27/150.48 % --res_prop_simpl_new false
% 150.27/150.48 % --res_prop_simpl_given false
% 150.27/150.48 % --res_passive_queue_type priority_queues
% 150.27/150.48 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.27/150.48 % --res_passive_queues_freq [15;5]
% 150.27/150.48 % --res_forward_subs full
% 150.27/150.48 % --res_backward_subs full
% 150.27/150.48 % --res_forward_subs_resolution true
% 150.27/150.48 % --res_backward_subs_resolution true
% 150.27/150.48 % --res_orphan_elimination false
% 150.27/150.48 % --res_time_limit 1000.
% 150.27/150.48 % --res_out_proof true
% 150.27/150.48 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_0a7408.s
% 150.27/150.48 % --modulo true
% 150.27/150.48
% 150.27/150.48 % ------ Combination Options
% 150.27/150.48
% 150.27/150.48 % --comb_res_mult 1000
% 150.27/150.48 % --comb_inst_mult 300
% 150.27/150.48 % ------
% 150.27/150.48
% 150.27/150.48 % ------ Parsing...% successful
% 150.27/150.48
% 150.27/150.48 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 150.27/150.48
% 150.27/150.48 % ------ Proving...
% 150.27/150.48 % ------ Problem Properties
% 150.27/150.48
% 150.27/150.48 %
% 150.27/150.48 % EPR false
% 150.27/150.48 % Horn true
% 150.27/150.48 % Has equality true
% 150.27/150.48
% 150.27/150.48 % % ------ Input Options Time Limit: Unbounded
% 150.27/150.48
% 150.27/150.48
% 150.27/150.48 % % ------ Current options:
% 150.27/150.48
% 150.27/150.48 % ------ Input Options
% 150.27/150.48
% 150.27/150.48 % --out_options all
% 150.27/150.48 % --tptp_safe_out true
% 150.27/150.48 % --problem_path ""
% 150.27/150.48 % --include_path ""
% 150.27/150.48 % --clausifier .//eprover
% 150.27/150.48 % --clausifier_options --tstp-format
% 150.27/150.48 % --stdin false
% 150.27/150.48 % --dbg_backtrace false
% 150.27/150.48 % --dbg_dump_prop_clauses false
% 150.27/150.48 % --dbg_dump_prop_clauses_file -
% 150.27/150.48 % --dbg_out_stat false
% 150.27/150.48
% 150.27/150.48 % ------ General Options
% 150.27/150.48
% 150.27/150.48 % --fof false
% 150.27/150.48 % --time_out_real 150.
% 150.27/150.48 % --time_out_prep_mult 0.2
% 150.27/150.48 % --time_out_virtual -1.
% 150.27/150.48 % --schedule none
% 150.27/150.48 % --ground_splitting input
% 150.27/150.48 % --splitting_nvd 16
% 150.27/150.48 % --non_eq_to_eq false
% 150.27/150.48 % --prep_gs_sim true
% 150.27/150.48 % --prep_unflatten false
% 150.27/150.48 % --prep_res_sim true
% 150.27/150.48 % --prep_upred true
% 150.27/150.48 % --res_sim_input true
% 150.27/150.48 % --clause_weak_htbl true
% 150.27/150.48 % --gc_record_bc_elim false
% 150.27/150.48 % --symbol_type_check false
% 150.27/150.48 % --clausify_out false
% 150.27/150.48 % --large_theory_mode false
% 150.27/150.48 % --prep_sem_filter none
% 150.27/150.48 % --prep_sem_filter_out false
% 150.27/150.48 % --preprocessed_out false
% 150.27/150.48 % --sub_typing false
% 150.27/150.48 % --brand_transform false
% 150.27/150.48 % --pure_diseq_elim true
% 150.27/150.48 % --min_unsat_core false
% 150.27/150.48 % --pred_elim true
% 150.27/150.48 % --add_important_lit false
% 150.27/150.48 % --soft_assumptions false
% 150.27/150.48 % --reset_solvers false
% 150.27/150.48 % --bc_imp_inh []
% 150.27/150.48 % --conj_cone_tolerance 1.5
% 150.27/150.48 % --prolific_symb_bound 500
% 150.27/150.48 % --lt_threshold 2000
% 150.27/150.48
% 150.27/150.48 % ------ SAT Options
% 150.27/150.48
% 150.27/150.48 % --sat_mode false
% 150.27/150.48 % --sat_fm_restart_options ""
% 150.27/150.48 % --sat_gr_def false
% 150.27/150.48 % --sat_epr_types true
% 150.27/150.48 % --sat_non_cyclic_types false
% 150.27/150.48 % --sat_finite_models false
% 150.27/150.48 % --sat_fm_lemmas false
% 150.27/150.48 % --sat_fm_prep false
% 150.27/150.48 % --sat_fm_uc_incr true
% 150.27/150.48 % --sat_out_model small
% 150.27/150.48 % --sat_out_clauses false
% 150.27/150.48
% 150.27/150.48 % ------ QBF Options
% 150.27/150.48
% 150.27/150.48 % --qbf_mode false
% 150.27/150.48 % --qbf_elim_univ true
% 150.27/150.48 % --qbf_sk_in true
% 150.27/150.48 % --qbf_pred_elim true
% 150.27/150.48 % --qbf_split 32
% 150.27/150.48
% 150.27/150.48 % ------ BMC1 Options
% 150.27/150.48
% 150.27/150.48 % --bmc1_incremental false
% 150.27/150.48 % --bmc1_axioms reachable_all
% 150.27/150.48 % --bmc1_min_bound 0
% 150.27/150.48 % --bmc1_max_bound -1
% 150.27/150.48 % --bmc1_max_bound_default -1
% 150.27/150.48 % --bmc1_symbol_reachability true
% 150.27/150.48 % --bmc1_property_lemmas false
% 150.27/150.48 % --bmc1_k_induction false
% 150.27/150.48 % --bmc1_non_equiv_states false
% 150.27/150.48 % --bmc1_deadlock false
% 150.27/150.48 % --bmc1_ucm false
% 150.27/150.48 % --bmc1_add_unsat_core none
% 150.27/150.48 % --bmc1_unsat_core_children false
% 150.27/150.48 % --bmc1_unsat_core_extrapolate_axioms false
% 150.27/150.48 % --bmc1_out_stat full
% 150.27/150.48 % --bmc1_ground_init false
% 150.27/150.48 % --bmc1_pre_inst_next_state false
% 150.27/150.48 % --bmc1_pre_inst_state false
% 150.27/150.48 % --bmc1_pre_inst_reach_state false
% 150.27/150.48 % --bmc1_out_unsat_core false
% 150.27/150.48 % --bmc1_aig_witness_out false
% 150.27/150.48 % --bmc1_verbose false
% 150.27/150.48 % --bmc1_dump_clauses_tptp false
% 150.27/150.48 % --bmc1_dump_unsat_core_tptp false
% 150.27/150.48 % --bmc1_dump_file -
% 150.27/150.48 % --bmc1_ucm_expand_uc_limit 128
% 150.27/150.48 % --bmc1_ucm_n_expand_iterations 6
% 150.27/150.48 % --bmc1_ucm_extend_mode 1
% 150.27/150.48 % --bmc1_ucm_init_mode 2
% 150.27/150.48 % --bmc1_ucm_cone_mode none
% 150.27/150.48 % --bmc1_ucm_reduced_relation_type 0
% 150.27/150.48 % --bmc1_ucm_relax_model 4
% 150.27/150.48 % --bmc1_ucm_full_tr_after_sat true
% 150.27/150.48 % --bmc1_ucm_expand_neg_assumptions false
% 150.27/150.48 % --bmc1_ucm_layered_model none
% 150.27/150.48 % --bmc1_ucm_max_lemma_size 10
% 150.27/150.48
% 150.27/150.48 % ------ AIG Options
% 150.27/150.48
% 150.27/150.48 % --aig_mode false
% 150.27/150.48
% 150.27/150.48 % ------ Instantiation Options
% 150.27/150.48
% 150.27/150.48 % --instantiation_flag true
% 150.27/150.48 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.27/150.48 % --inst_solver_per_active 750
% 150.27/150.48 % --inst_solver_calls_frac 0.5
% 150.27/150.48 % --inst_passive_queue_type priority_queues
% 150.27/150.48 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.27/150.48 % --inst_passive_queues_freq [25;2]
% 150.27/150.48 % --inst_dismatching true
% 150.27/150.48 % --inst_eager_unprocessed_to_passive true
% 150.27/150.48 % --inst_prop_sim_given true
% 228.31/228.53 % --inst_prop_sim_new false
% 228.31/228.53 % --inst_orphan_elimination true
% 228.31/228.53 % --inst_learning_loop_flag true
% 228.31/228.53 % --inst_learning_start 3000
% 228.31/228.53 % --inst_learning_factor 2
% 228.31/228.53 % --inst_start_prop_sim_after_learn 3
% 228.31/228.53 % --inst_sel_renew solver
% 228.31/228.53 % --inst_lit_activity_flag true
% 228.31/228.53 % --inst_out_proof true
% 228.31/228.53
% 228.31/228.53 % ------ Resolution Options
% 228.31/228.53
% 228.31/228.53 % --resolution_flag true
% 228.31/228.53 % --res_lit_sel kbo_max
% 228.31/228.53 % --res_to_prop_solver none
% 228.31/228.53 % --res_prop_simpl_new false
% 228.31/228.53 % --res_prop_simpl_given false
% 228.31/228.53 % --res_passive_queue_type priority_queues
% 228.31/228.53 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 228.31/228.53 % --res_passive_queues_freq [15;5]
% 228.31/228.53 % --res_forward_subs full
% 228.31/228.53 % --res_backward_subs full
% 228.31/228.53 % --res_forward_subs_resolution true
% 228.31/228.53 % --res_backward_subs_resolution true
% 228.31/228.53 % --res_orphan_elimination false
% 228.31/228.53 % --res_time_limit 1000.
% 228.31/228.53 % --res_out_proof true
% 228.31/228.53 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_0a7408.s
% 228.31/228.53 % --modulo true
% 228.31/228.53
% 228.31/228.53 % ------ Combination Options
% 228.31/228.53
% 228.31/228.53 % --comb_res_mult 1000
% 228.31/228.53 % --comb_inst_mult 300
% 228.31/228.53 % ------
% 228.31/228.53
% 228.31/228.53
% 228.31/228.53
% 228.31/228.53 % ------ Proving...
% 228.31/228.53 %
% 228.31/228.53
% 228.31/228.53
% 228.31/228.53 % ------ Statistics
% 228.31/228.53
% 228.31/228.53 % ------ General
% 228.31/228.53
% 228.31/228.53 % num_of_input_clauses: 57
% 228.31/228.53 % num_of_input_neg_conjectures: 1
% 228.31/228.53 % num_of_splits: 0
% 228.31/228.53 % num_of_split_atoms: 0
% 228.31/228.53 % num_of_sem_filtered_clauses: 0
% 228.31/228.53 % num_of_subtypes: 0
% 228.31/228.53 % monotx_restored_types: 0
% 228.31/228.53 % sat_num_of_epr_types: 0
% 228.31/228.53 % sat_num_of_non_cyclic_types: 0
% 228.31/228.53 % sat_guarded_non_collapsed_types: 0
% 228.31/228.53 % is_epr: 0
% 228.31/228.53 % is_horn: 1
% 228.31/228.53 % has_eq: 1
% 228.31/228.53 % num_pure_diseq_elim: 0
% 228.31/228.53 % simp_replaced_by: 0
% 228.31/228.53 % res_preprocessed: 2
% 228.31/228.53 % prep_upred: 0
% 228.31/228.53 % prep_unflattend: 0
% 228.31/228.53 % pred_elim_cands: 0
% 228.31/228.53 % pred_elim: 0
% 228.31/228.53 % pred_elim_cl: 0
% 228.31/228.53 % pred_elim_cycles: 0
% 228.31/228.53 % forced_gc_time: 0
% 228.31/228.53 % gc_basic_clause_elim: 0
% 228.31/228.53 % parsing_time: 0.002
% 228.31/228.53 % sem_filter_time: 0.
% 228.31/228.53 % pred_elim_time: 0.
% 228.31/228.53 % out_proof_time: 0.02
% 228.31/228.53 % monotx_time: 0.
% 228.31/228.53 % subtype_inf_time: 0.
% 228.31/228.53 % unif_index_cands_time: 0.282
% 228.31/228.53 % unif_index_add_time: 0.149
% 228.31/228.53 % total_time: 78.071
% 228.31/228.53 % num_of_symbols: 32
% 228.31/228.53 % num_of_terms: 437095
% 228.31/228.53
% 228.31/228.53 % ------ Propositional Solver
% 228.31/228.53
% 228.31/228.53 % prop_solver_calls: 90
% 228.31/228.53 % prop_fast_solver_calls: 3
% 228.31/228.53 % prop_num_of_clauses: 109178
% 228.31/228.53 % prop_preprocess_simplified: 198115
% 228.31/228.53 % prop_fo_subsumed: 0
% 228.31/228.53 % prop_solver_time: 0.078
% 228.31/228.53 % prop_fast_solver_time: 0.
% 228.31/228.53 % prop_unsat_core_time: 0.016
% 228.31/228.53
% 228.31/228.53 % ------ QBF
% 228.31/228.53
% 228.31/228.53 % qbf_q_res: 0
% 228.31/228.53 % qbf_num_tautologies: 0
% 228.31/228.53 % qbf_prep_cycles: 0
% 228.31/228.53
% 228.31/228.53 % ------ BMC1
% 228.31/228.53
% 228.31/228.53 % bmc1_current_bound: -1
% 228.31/228.53 % bmc1_last_solved_bound: -1
% 228.31/228.53 % bmc1_unsat_core_size: -1
% 228.31/228.53 % bmc1_unsat_core_parents_size: -1
% 228.31/228.53 % bmc1_merge_next_fun: 0
% 228.31/228.53 % bmc1_unsat_core_clauses_time: 0.
% 228.31/228.53
% 228.31/228.53 % ------ Instantiation
% 228.31/228.53
% 228.31/228.53 % inst_num_of_clauses: 35425
% 228.31/228.53 % inst_num_in_passive: 24653
% 228.31/228.53 % inst_num_in_active: 9237
% 228.31/228.53 % inst_num_in_unprocessed: 1442
% 228.31/228.53 % inst_num_of_loops: 9339
% 228.35/228.54 % inst_num_of_learning_restarts: 2
% 228.35/228.54 % inst_num_moves_active_passive: 8
% 228.35/228.54 % inst_lit_activity: 1904
% 228.35/228.54 % inst_lit_activity_moves: 0
% 228.35/228.54 % inst_num_tautologies: 90
% 228.35/228.54 % inst_num_prop_implied: 0
% 228.35/228.54 % inst_num_existing_simplified: 0
% 228.35/228.54 % inst_num_eq_res_simplified: 0
% 228.35/228.54 % inst_num_child_elim: 0
% 228.35/228.54 % inst_num_of_dismatching_blockings: 166622
% 228.35/228.54 % inst_num_of_non_proper_insts: 241681
% 228.35/228.54 % inst_num_of_duplicates: 98766
% 228.35/228.54 % inst_inst_num_from_inst_to_res: 0
% 228.35/228.54 % inst_dismatching_checking_time: 2.666
% 228.35/228.54
% 228.35/228.54 % ------ Resolution
% 228.35/228.54
% 228.35/228.54 % res_num_of_clauses: 185693
% 228.35/228.54 % res_num_in_passive: 123635
% 228.35/228.54 % res_num_in_active: 62030
% 228.35/228.54 % res_num_of_loops: 62000
% 228.35/228.54 % res_forward_subset_subsumed: 31
% 228.35/228.54 % res_backward_subset_subsumed: 0
% 228.35/228.54 % res_forward_subsumed: 18
% 228.35/228.54 % res_backward_subsumed: 0
% 228.35/228.54 % res_forward_subsumption_resolution: 0
% 228.35/228.54 % res_backward_subsumption_resolution: 0
% 228.35/228.54 % res_clause_to_clause_subsumption: 8254582
% 228.35/228.54 % res_orphan_elimination: 0
% 228.35/228.54 % res_tautology_del: 0
% 228.35/228.54 % res_num_eq_res_simplified: 0
% 228.35/228.54 % res_num_sel_changes: 0
% 228.35/228.54 % res_moves_from_active_to_pass: 0
% 228.35/228.54
% 228.35/228.54 % Status Unsatisfiable
% 228.35/228.54 % SZS status Unsatisfiable
% 228.35/228.54 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------