TSTP Solution File: RNG001-3 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : RNG001-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n026.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 31.40s 31.65s
% Output : CNFRefutation 31.40s
% 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(closure_of_multiplication,axiom,
product(X,Y,multiply(X,Y)),
input ).
fof(closure_of_multiplication_0,plain,
! [X,Y] :
( product(X,Y,multiply(X,Y))
| $false ),
inference(orientation,[status(thm)],[closure_of_multiplication]) ).
cnf(additive_inverse1,axiom,
sum(additive_inverse(X),X,additive_identity),
input ).
fof(additive_inverse1_0,plain,
! [X] :
( sum(additive_inverse(X),X,additive_identity)
| $false ),
inference(orientation,[status(thm)],[additive_inverse1]) ).
cnf(additive_identity1,axiom,
sum(additive_identity,X,X),
input ).
fof(additive_identity1_0,plain,
! [X] :
( sum(additive_identity,X,X)
| $false ),
inference(orientation,[status(thm)],[additive_identity1]) ).
fof(def_lhs_atom1,axiom,
! [X] :
( lhs_atom1(X)
<=> sum(additive_identity,X,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [X] :
( lhs_atom1(X)
| $false ),
inference(fold_definition,[status(thm)],[additive_identity1_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [X] :
( lhs_atom2(X)
<=> sum(additive_inverse(X),X,additive_identity) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [X] :
( lhs_atom2(X)
| $false ),
inference(fold_definition,[status(thm)],[additive_inverse1_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [Y,X] :
( lhs_atom3(Y,X)
<=> product(X,Y,multiply(X,Y)) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [X,Y] :
( lhs_atom3(Y,X)
| $false ),
inference(fold_definition,[status(thm)],[closure_of_multiplication_0,def_lhs_atom3]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X2,X1] :
( lhs_atom3(X2,X1)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_1,axiom,
! [X1] :
( lhs_atom2(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_2,axiom,
! [X1] :
( lhs_atom1(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_3,plain,
! [X2,X1] : lhs_atom3(X2,X1),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_4,plain,
! [X1] : lhs_atom2(X1),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_5,plain,
! [X1] : lhs_atom1(X1),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_6,plain,
! [X3,X4] : lhs_atom3(X3,X4),
inference(variable_rename,[status(thm)],[c_0_3]) ).
fof(c_0_7,plain,
! [X2] : lhs_atom2(X2),
inference(variable_rename,[status(thm)],[c_0_4]) ).
fof(c_0_8,plain,
! [X2] : lhs_atom1(X2),
inference(variable_rename,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
lhs_atom3(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
lhs_atom2(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
lhs_atom1(X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
lhs_atom3(X1,X2),
c_0_9,
[final] ).
cnf(c_0_13,plain,
lhs_atom2(X1),
c_0_10,
[final] ).
cnf(c_0_14,plain,
lhs_atom1(X1),
c_0_11,
[final] ).
% End CNF derivation
cnf(c_0_12_0,axiom,
product(X2,X1,multiply(X2,X1)),
inference(unfold_definition,[status(thm)],[c_0_12,def_lhs_atom3]) ).
cnf(c_0_13_0,axiom,
sum(additive_inverse(X1),X1,additive_identity),
inference(unfold_definition,[status(thm)],[c_0_13,def_lhs_atom2]) ).
cnf(c_0_14_0,axiom,
sum(additive_identity,X1,X1),
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,X4,X5,X6,X7] :
( ~ product(X3,X2,X7)
| ~ product(X3,X1,X6)
| ~ sum(X2,X1,X5)
| ~ product(X3,X5,X4)
| sum(X7,X6,X4) ),
file('<stdin>',distributivity1) ).
fof(c_0_1_002,axiom,
! [X1,X2,X3,X4,X5,X6,X7] :
( ~ product(X3,X2,X7)
| ~ product(X3,X1,X6)
| ~ sum(X2,X1,X5)
| ~ sum(X7,X6,X4)
| product(X3,X5,X4) ),
file('<stdin>',distributivity2) ).
fof(c_0_2_003,axiom,
! [X1,X2,X3,X8,X9,X10] :
( ~ sum(X3,X2,X10)
| ~ sum(X2,X1,X9)
| ~ sum(X10,X1,X8)
| sum(X3,X9,X8) ),
file('<stdin>',associativity_of_addition1) ).
fof(c_0_3_004,axiom,
! [X1,X2,X3,X8,X9,X10] :
( ~ sum(X3,X2,X10)
| ~ sum(X2,X1,X9)
| ~ sum(X3,X9,X8)
| sum(X10,X1,X8) ),
file('<stdin>',associativity_of_addition2) ).
fof(c_0_4_005,plain,
! [X1,X2,X3,X4,X5,X6,X7] :
( ~ product(X3,X2,X7)
| ~ product(X3,X1,X6)
| ~ sum(X2,X1,X5)
| ~ product(X3,X5,X4)
| sum(X7,X6,X4) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_5_006,plain,
! [X1,X2,X3,X4,X5,X6,X7] :
( ~ product(X3,X2,X7)
| ~ product(X3,X1,X6)
| ~ sum(X2,X1,X5)
| ~ sum(X7,X6,X4)
| product(X3,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_6_007,plain,
! [X1,X2,X3,X8,X9,X10] :
( ~ sum(X3,X2,X10)
| ~ sum(X2,X1,X9)
| ~ sum(X10,X1,X8)
| sum(X3,X9,X8) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_7_008,plain,
! [X1,X2,X3,X8,X9,X10] :
( ~ sum(X3,X2,X10)
| ~ sum(X2,X1,X9)
| ~ sum(X3,X9,X8)
| sum(X10,X1,X8) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_8_009,plain,
! [X8,X9,X10,X11,X12,X13,X14] :
( ~ product(X10,X9,X14)
| ~ product(X10,X8,X13)
| ~ sum(X9,X8,X12)
| ~ product(X10,X12,X11)
| sum(X14,X13,X11) ),
inference(variable_rename,[status(thm)],[c_0_4]) ).
fof(c_0_9_010,plain,
! [X8,X9,X10,X11,X12,X13,X14] :
( ~ product(X10,X9,X14)
| ~ product(X10,X8,X13)
| ~ sum(X9,X8,X12)
| ~ sum(X14,X13,X11)
| product(X10,X12,X11) ),
inference(variable_rename,[status(thm)],[c_0_5]) ).
fof(c_0_10_011,plain,
! [X11,X12,X13,X14,X15,X16] :
( ~ sum(X13,X12,X16)
| ~ sum(X12,X11,X15)
| ~ sum(X16,X11,X14)
| sum(X13,X15,X14) ),
inference(variable_rename,[status(thm)],[c_0_6]) ).
fof(c_0_11_012,plain,
! [X11,X12,X13,X14,X15,X16] :
( ~ sum(X13,X12,X16)
| ~ sum(X12,X11,X15)
| ~ sum(X13,X15,X14)
| sum(X16,X11,X14) ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
cnf(c_0_12_013,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_8]) ).
cnf(c_0_13_014,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_9]) ).
cnf(c_0_14_015,plain,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X5,X2)
| ~ sum(X1,X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X2,X5)
| ~ sum(X4,X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( sum(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ sum(X6,X7,X5)
| ~ product(X4,X7,X2)
| ~ product(X4,X6,X1) ),
c_0_12,
[final] ).
cnf(c_0_17,plain,
( product(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X7,X2)
| ~ product(X1,X7,X5)
| ~ product(X1,X6,X4) ),
c_0_13,
[final] ).
cnf(c_0_18,plain,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X5,X2)
| ~ sum(X1,X6,X4) ),
c_0_14,
[final] ).
cnf(c_0_19,plain,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X3)
| ~ sum(X6,X2,X5)
| ~ sum(X4,X6,X1) ),
c_0_15,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_16_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_16]) ).
cnf(c_0_16_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_16]) ).
cnf(c_0_16_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_16]) ).
cnf(c_0_16_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_16]) ).
cnf(c_0_16_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_16]) ).
cnf(c_0_17_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_17]) ).
cnf(c_0_17_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_17]) ).
cnf(c_0_17_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_17]) ).
cnf(c_0_17_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_17]) ).
cnf(c_0_17_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_17]) ).
cnf(c_0_18_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_18]) ).
cnf(c_0_18_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_18]) ).
cnf(c_0_18_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_18]) ).
cnf(c_0_18_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_18]) ).
cnf(c_0_19_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_19]) ).
cnf(c_0_19_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_19]) ).
cnf(c_0_19_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_19]) ).
cnf(c_0_19_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_19]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_016,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('<stdin>',prove_a_times_additive_id_is_additive_id) ).
fof(c_0_1_017,negated_conjecture,
~ product(a,additive_identity,additive_identity),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2_018,negated_conjecture,
~ product(a,additive_identity,additive_identity),
c_0_1 ).
cnf(c_0_3_019,negated_conjecture,
~ product(a,additive_identity,additive_identity),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_020,negated_conjecture,
~ product(a,additive_identity,additive_identity),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_13,plain,
( sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X4,X1)
| ~ sum(X0,X5,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ec7675.p',c_0_18_3) ).
cnf(c_45,plain,
( sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X4,X1)
| ~ sum(X0,X5,X3) ),
inference(copy,[status(esa)],[c_13]) ).
cnf(c_35372,plain,
( sum(X0,X1,multiply(X2,X3))
| ~ sum(X4,X5,multiply(X2,X3))
| ~ sum(X6,X5,X1)
| ~ sum(X0,X6,X4) ),
inference(instantiation,[status(thm)],[c_45]) ).
cnf(c_36154,plain,
( ~ sum(additive_identity,multiply(X0,X1),multiply(X0,X1))
| ~ sum(X2,multiply(X0,X1),X3)
| ~ sum(X4,X2,additive_identity)
| sum(X4,X3,multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_35372]) ).
cnf(c_36519,plain,
( ~ sum(additive_identity,multiply(X0,X1),multiply(X0,X1))
| ~ sum(multiply(X0,X2),multiply(X0,X1),multiply(X3,X4))
| ~ sum(X5,multiply(X0,X2),additive_identity)
| sum(X5,multiply(X3,X4),multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_36154]) ).
cnf(c_201115,plain,
( ~ sum(additive_identity,multiply(a,X0),multiply(a,X0))
| ~ sum(multiply(a,X1),multiply(a,X0),multiply(a,X2))
| ~ sum(X3,multiply(a,X1),additive_identity)
| sum(X3,multiply(a,X2),multiply(a,X0)) ),
inference(instantiation,[status(thm)],[c_36519]) ).
cnf(c_295711,plain,
( ~ sum(additive_identity,multiply(a,X0),multiply(a,X0))
| ~ sum(additive_inverse(multiply(a,X1)),multiply(a,X2),additive_identity)
| sum(additive_inverse(multiply(a,X1)),multiply(a,X3),multiply(a,X0))
| ~ sum(multiply(a,X2),multiply(a,X0),multiply(a,X3)) ),
inference(instantiation,[status(thm)],[c_201115]) ).
cnf(c_295714,plain,
( ~ sum(additive_identity,multiply(a,additive_identity),multiply(a,additive_identity))
| ~ sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity)
| sum(additive_inverse(multiply(a,additive_identity)),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_295711]) ).
cnf(c_17,plain,
( sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X1,X4)
| ~ sum(X3,X5,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ec7675.p',c_0_19_3) ).
cnf(c_49,plain,
( sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X5,X1,X4)
| ~ sum(X3,X5,X0) ),
inference(copy,[status(esa)],[c_17]) ).
cnf(c_35268,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_49]) ).
cnf(c_35363,plain,
( ~ sum(multiply(X0,X1),multiply(X0,X2),multiply(X3,X4))
| sum(X5,multiply(X0,X2),X6)
| ~ sum(X7,multiply(X3,X4),X6)
| ~ sum(X7,multiply(X0,X1),X5) ),
inference(instantiation,[status(thm)],[c_35268]) ).
cnf(c_37139,plain,
( ~ sum(additive_inverse(multiply(X0,X1)),multiply(X0,X1),additive_identity)
| ~ sum(additive_inverse(multiply(X0,X1)),multiply(X2,X3),X4)
| ~ sum(multiply(X2,X3),multiply(X2,X5),multiply(X0,X1))
| sum(X4,multiply(X2,X5),additive_identity) ),
inference(instantiation,[status(thm)],[c_35363]) ).
cnf(c_196081,plain,
( ~ sum(additive_inverse(multiply(X0,X1)),multiply(a,X2),multiply(a,X3))
| ~ sum(additive_inverse(multiply(X0,X1)),multiply(X0,X1),additive_identity)
| sum(multiply(a,X3),multiply(a,X4),additive_identity)
| ~ sum(multiply(a,X2),multiply(a,X4),multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_37139]) ).
cnf(c_201580,plain,
( ~ sum(additive_inverse(multiply(a,X0)),multiply(a,X0),additive_identity)
| ~ sum(additive_inverse(multiply(a,X0)),multiply(a,X1),multiply(a,X2))
| sum(multiply(a,X2),multiply(a,X0),additive_identity)
| ~ sum(multiply(a,X1),multiply(a,X0),multiply(a,X0)) ),
inference(instantiation,[status(thm)],[c_196081]) ).
cnf(c_201582,plain,
( ~ sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity)
| ~ sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),multiply(a,additive_identity))
| sum(multiply(a,additive_identity),multiply(a,additive_identity),additive_identity)
| ~ sum(multiply(a,additive_identity),multiply(a,additive_identity),multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_201580]) ).
cnf(c_18,plain,
sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ec7675.p',c_0_14_0) ).
cnf(c_50,plain,
sum(additive_identity,X0,X0),
inference(copy,[status(esa)],[c_18]) ).
cnf(c_35278,plain,
sum(additive_identity,multiply(X0,X1),multiply(X0,X1)),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_199256,plain,
sum(additive_identity,multiply(a,X0),multiply(a,X0)),
inference(instantiation,[status(thm)],[c_35278]) ).
cnf(c_199257,plain,
sum(additive_identity,multiply(a,additive_identity),multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[c_199256]) ).
cnf(c_19,plain,
sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ec7675.p',c_0_13_0) ).
cnf(c_51,plain,
sum(additive_inverse(X0),X0,additive_identity),
inference(copy,[status(esa)],[c_19]) ).
cnf(c_35282,plain,
sum(additive_inverse(multiply(X0,X1)),multiply(X0,X1),additive_identity),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_199031,plain,
sum(additive_inverse(multiply(a,X0)),multiply(a,X0),additive_identity),
inference(instantiation,[status(thm)],[c_35282]) ).
cnf(c_199032,plain,
sum(additive_inverse(multiply(a,additive_identity)),multiply(a,additive_identity),additive_identity),
inference(instantiation,[status(thm)],[c_199031]) ).
cnf(c_1,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| sum(X2,X4,X6)
| ~ product(X0,X5,X6) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ec7675.p',c_0_16_1) ).
cnf(c_33,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| sum(X2,X4,X6)
| ~ product(X0,X5,X6) ),
inference(copy,[status(esa)],[c_1]) ).
cnf(c_35262,plain,
( sum(X0,multiply(X1,X2),X3)
| ~ sum(X4,X5,X6)
| ~ product(X7,X5,multiply(X1,X2))
| ~ product(X7,X4,X0)
| ~ product(X7,X6,X3) ),
inference(instantiation,[status(thm)],[c_33]) ).
cnf(c_35332,plain,
( sum(multiply(X0,X1),multiply(X2,X3),X4)
| ~ sum(X1,X5,X6)
| ~ product(X0,X5,multiply(X2,X3))
| ~ product(X0,X1,multiply(X0,X1))
| ~ product(X0,X6,X4) ),
inference(instantiation,[status(thm)],[c_35262]) ).
cnf(c_35513,plain,
( sum(multiply(X0,X1),multiply(X2,X3),multiply(X0,X4))
| ~ sum(X1,X5,X4)
| ~ product(X0,X5,multiply(X2,X3))
| ~ product(X0,X1,multiply(X0,X1))
| ~ product(X0,X4,multiply(X0,X4)) ),
inference(instantiation,[status(thm)],[c_35332]) ).
cnf(c_112798,plain,
( sum(multiply(a,X0),multiply(a,X1),multiply(a,X2))
| ~ sum(X0,X3,X2)
| ~ product(a,X3,multiply(a,X1))
| ~ product(a,X0,multiply(a,X0))
| ~ product(a,X2,multiply(a,X2)) ),
inference(instantiation,[status(thm)],[c_35513]) ).
cnf(c_112799,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_112798]) ).
cnf(c_20,plain,
product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ec7675.p',c_0_12_0) ).
cnf(c_52,plain,
product(X0,X1,multiply(X0,X1)),
inference(copy,[status(esa)],[c_20]) ).
cnf(c_108976,plain,
product(a,X0,multiply(a,X0)),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_108977,plain,
product(a,additive_identity,multiply(a,additive_identity)),
inference(instantiation,[status(thm)],[c_108976]) ).
cnf(c_5,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ec7675.p',c_0_17_0) ).
cnf(c_37,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
inference(copy,[status(esa)],[c_5]) ).
cnf(c_35234,plain,
( ~ sum(multiply(X0,X1),X2,X3)
| ~ sum(X1,X4,X5)
| ~ product(X0,X1,multiply(X0,X1))
| ~ product(X0,X4,X2)
| product(X0,X5,X3) ),
inference(instantiation,[status(thm)],[c_37]) ).
cnf(c_35239,plain,
( ~ sum(multiply(X0,X1),multiply(X0,X2),X3)
| ~ sum(X1,X2,X4)
| ~ product(X0,X1,multiply(X0,X1))
| ~ product(X0,X2,multiply(X0,X2))
| product(X0,X4,X3) ),
inference(instantiation,[status(thm)],[c_35234]) ).
cnf(c_38271,plain,
( ~ sum(multiply(a,X0),multiply(a,X1),additive_identity)
| ~ sum(X0,X1,additive_identity)
| product(a,additive_identity,additive_identity)
| ~ product(a,X0,multiply(a,X0))
| ~ product(a,X1,multiply(a,X1)) ),
inference(instantiation,[status(thm)],[c_35239]) ).
cnf(c_38272,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(multiply(a,additive_identity),multiply(a,additive_identity),additive_identity)
| product(a,additive_identity,additive_identity)
| ~ product(a,additive_identity,multiply(a,additive_identity)) ),
inference(instantiation,[status(thm)],[c_38271]) ).
cnf(c_24,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(instantiation,[status(thm)],[c_18]) ).
cnf(c_21,negated_conjecture,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox2/tmp/iprover_modulo_ec7675.p',c_0_4) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_295714,c_201582,c_199257,c_199032,c_112799,c_108977,c_38272,c_24,c_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : RNG001-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 10:14:55 EDT 2022
% 0.12/0.34 % 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_c16397.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_ec7675.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_4f4c45 | grep -v "SZS"
% 0.19/0.43
% 0.19/0.43 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.43
% 0.19/0.43 %
% 0.19/0.43 % ------ iProver source info
% 0.19/0.43
% 0.19/0.43 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.43 % git: non_committed_changes: true
% 0.19/0.43 % git: last_make_outside_of_git: true
% 0.19/0.43
% 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
% 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_c16397.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 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
% 31.40/31.65 % --inst_prop_sim_new false
% 31.40/31.65 % --inst_orphan_elimination true
% 31.40/31.65 % --inst_learning_loop_flag true
% 31.40/31.65 % --inst_learning_start 3000
% 31.40/31.65 % --inst_learning_factor 2
% 31.40/31.65 % --inst_start_prop_sim_after_learn 3
% 31.40/31.65 % --inst_sel_renew solver
% 31.40/31.65 % --inst_lit_activity_flag true
% 31.40/31.65 % --inst_out_proof true
% 31.40/31.65
% 31.40/31.65 % ------ Resolution Options
% 31.40/31.65
% 31.40/31.65 % --resolution_flag true
% 31.40/31.65 % --res_lit_sel kbo_max
% 31.40/31.65 % --res_to_prop_solver none
% 31.40/31.65 % --res_prop_simpl_new false
% 31.40/31.65 % --res_prop_simpl_given false
% 31.40/31.65 % --res_passive_queue_type priority_queues
% 31.40/31.65 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 31.40/31.65 % --res_passive_queues_freq [15;5]
% 31.40/31.65 % --res_forward_subs full
% 31.40/31.65 % --res_backward_subs full
% 31.40/31.65 % --res_forward_subs_resolution true
% 31.40/31.65 % --res_backward_subs_resolution true
% 31.40/31.65 % --res_orphan_elimination false
% 31.40/31.65 % --res_time_limit 1000.
% 31.40/31.65 % --res_out_proof true
% 31.40/31.65 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c16397.s
% 31.40/31.65 % --modulo true
% 31.40/31.65
% 31.40/31.65 % ------ Combination Options
% 31.40/31.65
% 31.40/31.65 % --comb_res_mult 1000
% 31.40/31.65 % --comb_inst_mult 300
% 31.40/31.65 % ------
% 31.40/31.65
% 31.40/31.65
% 31.40/31.65
% 31.40/31.65 % ------ Proving...
% 31.40/31.65 %
% 31.40/31.65
% 31.40/31.65
% 31.40/31.65 % ------ Statistics
% 31.40/31.65
% 31.40/31.65 % ------ General
% 31.40/31.65
% 31.40/31.65 % num_of_input_clauses: 22
% 31.40/31.65 % num_of_input_neg_conjectures: 1
% 31.40/31.65 % num_of_splits: 0
% 31.40/31.65 % num_of_split_atoms: 0
% 31.40/31.65 % num_of_sem_filtered_clauses: 0
% 31.40/31.65 % num_of_subtypes: 0
% 31.40/31.65 % monotx_restored_types: 0
% 31.40/31.65 % sat_num_of_epr_types: 0
% 31.40/31.65 % sat_num_of_non_cyclic_types: 0
% 31.40/31.65 % sat_guarded_non_collapsed_types: 0
% 31.40/31.65 % is_epr: 0
% 31.40/31.65 % is_horn: 1
% 31.40/31.65 % has_eq: 0
% 31.40/31.65 % num_pure_diseq_elim: 0
% 31.40/31.65 % simp_replaced_by: 0
% 31.40/31.65 % res_preprocessed: 2
% 31.40/31.65 % prep_upred: 0
% 31.40/31.65 % prep_unflattend: 0
% 31.40/31.65 % pred_elim_cands: 0
% 31.40/31.65 % pred_elim: 0
% 31.40/31.65 % pred_elim_cl: 0
% 31.40/31.65 % pred_elim_cycles: 0
% 31.40/31.65 % forced_gc_time: 0
% 31.40/31.65 % gc_basic_clause_elim: 0
% 31.40/31.65 % parsing_time: 0.001
% 31.40/31.65 % sem_filter_time: 0.
% 31.40/31.65 % pred_elim_time: 0.
% 31.40/31.65 % out_proof_time: 0.002
% 31.40/31.65 % monotx_time: 0.
% 31.40/31.65 % subtype_inf_time: 0.
% 31.40/31.65 % unif_index_cands_time: 0.016
% 31.40/31.65 % unif_index_add_time: 0.014
% 31.40/31.65 % total_time: 31.243
% 31.40/31.65 % num_of_symbols: 31
% 31.40/31.65 % num_of_terms: 65572
% 31.40/31.65
% 31.40/31.65 % ------ Propositional Solver
% 31.40/31.65
% 31.40/31.65 % prop_solver_calls: 12
% 31.40/31.65 % prop_fast_solver_calls: 3
% 31.40/31.65 % prop_num_of_clauses: 3787
% 31.40/31.65 % prop_preprocess_simplified: 5969
% 31.40/31.65 % prop_fo_subsumed: 0
% 31.40/31.65 % prop_solver_time: 0.001
% 31.40/31.65 % prop_fast_solver_time: 0.
% 31.40/31.65 % prop_unsat_core_time: 0.
% 31.40/31.65
% 31.40/31.65 % ------ QBF
% 31.40/31.65
% 31.40/31.65 % qbf_q_res: 0
% 31.40/31.65 % qbf_num_tautologies: 0
% 31.40/31.65 % qbf_prep_cycles: 0
% 31.40/31.65
% 31.40/31.65 % ------ BMC1
% 31.40/31.65
% 31.40/31.65 % bmc1_current_bound: -1
% 31.40/31.65 % bmc1_last_solved_bound: -1
% 31.40/31.65 % bmc1_unsat_core_size: -1
% 31.40/31.65 % bmc1_unsat_core_parents_size: -1
% 31.40/31.65 % bmc1_merge_next_fun: 0
% 31.40/31.65 % bmc1_unsat_core_clauses_time: 0.
% 31.40/31.65
% 31.40/31.65 % ------ Instantiation
% 31.40/31.65
% 31.40/31.65 % inst_num_of_clauses: 2744
% 31.40/31.65 % inst_num_in_passive: 1137
% 31.40/31.65 % inst_num_in_active: 949
% 31.40/31.65 % inst_num_in_unprocessed: 630
% 31.40/31.65 % inst_num_of_loops: 1161
% 31.40/31.65 % inst_num_of_learning_restarts: 0
% 31.40/31.65 % inst_num_moves_active_passive: 183
% 31.40/31.65 % inst_lit_activity: 223
% 31.40/31.65 % inst_lit_activity_moves: 0
% 31.40/31.65 % inst_num_tautologies: 24
% 31.40/31.65 % inst_num_prop_implied: 0
% 31.40/31.65 % inst_num_existing_simplified: 0
% 31.40/31.65 % inst_num_eq_res_simplified: 0
% 31.40/31.65 % inst_num_child_elim: 0
% 31.40/31.65 % inst_num_of_dismatching_blockings: 9923
% 31.40/31.65 % inst_num_of_non_proper_insts: 17976
% 31.40/31.65 % inst_num_of_duplicates: 20481
% 31.40/31.65 % inst_inst_num_from_inst_to_res: 0
% 31.40/31.65 % inst_dismatching_checking_time: 0.057
% 31.40/31.65
% 31.40/31.65 % ------ Resolution
% 31.40/31.65
% 31.40/31.65 % res_num_of_clauses: 27104
% 31.40/31.65 % res_num_in_passive: 23154
% 31.40/31.65 % res_num_in_active: 3931
% 31.40/31.65 % res_num_of_loops: 4000
% 31.40/31.65 % res_forward_subset_subsumed: 7892
% 31.40/31.65 % res_backward_subset_subsumed: 0
% 31.40/31.65 % res_forward_subsumed: 73
% 31.40/31.65 % res_backward_subsumed: 0
% 31.40/31.65 % res_forward_subsumption_resolution: 27
% 31.40/31.65 % res_backward_subsumption_resolution: 0
% 31.40/31.65 % res_clause_to_clause_subsumption: 2346355
% 31.40/31.65 % res_orphan_elimination: 0
% 31.40/31.65 % res_tautology_del: 4072
% 31.40/31.65 % res_num_eq_res_simplified: 0
% 31.40/31.65 % res_num_sel_changes: 0
% 31.40/31.65 % res_moves_from_active_to_pass: 0
% 31.40/31.65
% 31.40/31.65 % Status Unsatisfiable
% 31.40/31.65 % SZS status Unsatisfiable
% 31.40/31.65 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------