TSTP Solution File: PUZ021-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : PUZ021-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n021.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 18:13:44 EDT 2022

% Result   : Unsatisfiable 23.63s 23.85s
% Output   : CNFRefutation 23.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  171 (   1 unt;   0 def)
%            Number of atoms       :  412 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  480 ( 239   ~; 241   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :  344 (  16 sgn  93   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
% Start CNF derivation
% End CNF derivation
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
    ! [X1,X2,X3] :
      ( a_truth(and(X3,X2),X1)
      | ~ a_truth(X3,X1)
      | ~ a_truth(X2,X1) ),
    file('<stdin>',conjunction3) ).

fof(c_0_1,axiom,
    ! [X1,X2,X3] :
      ( ~ a_truth(and(X3,X2),X1)
      | a_truth(X3,X1) ),
    file('<stdin>',conjunction1) ).

fof(c_0_2,axiom,
    ! [X1,X2,X3] :
      ( ~ a_truth(and(X3,X2),X1)
      | a_truth(X2,X1) ),
    file('<stdin>',conjunction2) ).

fof(c_0_3,axiom,
    ! [X1,X2,X3] :
      ( ~ a_truth(knave(X3),X1)
      | ~ says(X3,X2)
      | ~ a_truth(X2,X1) ),
    file('<stdin>',knaves_lie1) ).

fof(c_0_4,axiom,
    ! [X1,X2,X3] :
      ( ~ a_truth(knight(X3),X1)
      | ~ says(X3,X2)
      | a_truth(X2,X1) ),
    file('<stdin>',knights_tell_truth1) ).

fof(c_0_5,axiom,
    ! [X1,X2,X3] :
      ( ~ a_truth(knight(X3),X1)
      | says(X3,X2)
      | ~ a_truth(X2,X1) ),
    file('<stdin>',knights_tell_truth2) ).

fof(c_0_6,axiom,
    ! [X2,X3] :
      ( ~ a_truth(knight(X3),X2)
      | ~ a_truth(knave(X3),X2) ),
    file('<stdin>',not_knight_and_knave) ).

fof(c_0_7,axiom,
    ! [X2,X3] :
      ( ~ a_truth(rich(X3),X2)
      | ~ a_truth(poor(X3),X2) ),
    file('<stdin>',not_rich_and_poor) ).

fof(c_0_8,axiom,
    ! [X1,X2,X3] :
      ( ~ a_truth(knave(X3),X1)
      | says(X3,X2)
      | a_truth(X2,X1) ),
    file('<stdin>',knaves_lie2) ).

fof(c_0_9,axiom,
    ! [X2,X3] :
      ( a_truth(knight(X3),X2)
      | a_truth(knave(X3),X2) ),
    file('<stdin>',knight_or_knave) ).

fof(c_0_10,axiom,
    ! [X2,X3] :
      ( a_truth(rich(X3),X2)
      | a_truth(poor(X3),X2) ),
    file('<stdin>',rich_or_poor) ).

fof(c_0_11,plain,
    ! [X1,X2,X3] :
      ( a_truth(and(X3,X2),X1)
      | ~ a_truth(X3,X1)
      | ~ a_truth(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_12,plain,
    ! [X1,X2,X3] :
      ( ~ a_truth(and(X3,X2),X1)
      | a_truth(X3,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_13,plain,
    ! [X1,X2,X3] :
      ( ~ a_truth(and(X3,X2),X1)
      | a_truth(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_14,plain,
    ! [X1,X2,X3] :
      ( ~ a_truth(knave(X3),X1)
      | ~ says(X3,X2)
      | ~ a_truth(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_15,plain,
    ! [X1,X2,X3] :
      ( ~ a_truth(knight(X3),X1)
      | ~ says(X3,X2)
      | a_truth(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_16,plain,
    ! [X1,X2,X3] :
      ( ~ a_truth(knight(X3),X1)
      | says(X3,X2)
      | ~ a_truth(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_17,plain,
    ! [X2,X3] :
      ( ~ a_truth(knight(X3),X2)
      | ~ a_truth(knave(X3),X2) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_18,plain,
    ! [X2,X3] :
      ( ~ a_truth(rich(X3),X2)
      | ~ a_truth(poor(X3),X2) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_19,plain,
    ! [X1,X2,X3] :
      ( ~ a_truth(knave(X3),X1)
      | says(X3,X2)
      | a_truth(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_20,axiom,
    ! [X2,X3] :
      ( a_truth(knight(X3),X2)
      | a_truth(knave(X3),X2) ),
    c_0_9 ).

fof(c_0_21,axiom,
    ! [X2,X3] :
      ( a_truth(rich(X3),X2)
      | a_truth(poor(X3),X2) ),
    c_0_10 ).

fof(c_0_22,plain,
    ! [X4,X5,X6] :
      ( a_truth(and(X6,X5),X4)
      | ~ a_truth(X6,X4)
      | ~ a_truth(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_11]) ).

fof(c_0_23,plain,
    ! [X4,X5,X6] :
      ( ~ a_truth(and(X6,X5),X4)
      | a_truth(X6,X4) ),
    inference(variable_rename,[status(thm)],[c_0_12]) ).

fof(c_0_24,plain,
    ! [X4,X5,X6] :
      ( ~ a_truth(and(X6,X5),X4)
      | a_truth(X5,X4) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_13])])]) ).

fof(c_0_25,plain,
    ! [X4,X5,X6] :
      ( ~ a_truth(knave(X6),X4)
      | ~ says(X6,X5)
      | ~ a_truth(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_14]) ).

fof(c_0_26,plain,
    ! [X4,X5,X6] :
      ( ~ a_truth(knight(X6),X4)
      | ~ says(X6,X5)
      | a_truth(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_15]) ).

fof(c_0_27,plain,
    ! [X4,X5,X6] :
      ( ~ a_truth(knight(X6),X4)
      | says(X6,X5)
      | ~ a_truth(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_16]) ).

fof(c_0_28,plain,
    ! [X4,X5] :
      ( ~ a_truth(knight(X5),X4)
      | ~ a_truth(knave(X5),X4) ),
    inference(variable_rename,[status(thm)],[c_0_17]) ).

fof(c_0_29,plain,
    ! [X4,X5] :
      ( ~ a_truth(rich(X5),X4)
      | ~ a_truth(poor(X5),X4) ),
    inference(variable_rename,[status(thm)],[c_0_18]) ).

fof(c_0_30,plain,
    ! [X4,X5,X6] :
      ( ~ a_truth(knave(X6),X4)
      | says(X6,X5)
      | a_truth(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_19]) ).

fof(c_0_31,plain,
    ! [X4,X5] :
      ( a_truth(knight(X5),X4)
      | a_truth(knave(X5),X4) ),
    inference(variable_rename,[status(thm)],[c_0_20]) ).

fof(c_0_32,plain,
    ! [X4,X5] :
      ( a_truth(rich(X5),X4)
      | a_truth(poor(X5),X4) ),
    inference(variable_rename,[status(thm)],[c_0_21]) ).

cnf(c_0_33,plain,
    ( a_truth(and(X3,X1),X2)
    | ~ a_truth(X1,X2)
    | ~ a_truth(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_34,plain,
    ( a_truth(X1,X2)
    | ~ a_truth(and(X1,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_35,plain,
    ( a_truth(X1,X2)
    | ~ a_truth(and(X3,X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_36,plain,
    ( ~ a_truth(X1,X2)
    | ~ says(X3,X1)
    | ~ a_truth(knave(X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_37,plain,
    ( a_truth(X1,X2)
    | ~ says(X3,X1)
    | ~ a_truth(knight(X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_38,plain,
    ( says(X3,X1)
    | ~ a_truth(X1,X2)
    | ~ a_truth(knight(X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_39,plain,
    ( ~ a_truth(knave(X1),X2)
    | ~ a_truth(knight(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_40,plain,
    ( ~ a_truth(poor(X1),X2)
    | ~ a_truth(rich(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_41,plain,
    ( a_truth(X1,X2)
    | says(X3,X1)
    | ~ a_truth(knave(X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_42,plain,
    ( a_truth(knave(X1),X2)
    | a_truth(knight(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_43,plain,
    ( a_truth(poor(X1),X2)
    | a_truth(rich(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_44,plain,
    ( a_truth(and(X3,X1),X2)
    | ~ a_truth(X1,X2)
    | ~ a_truth(X3,X2) ),
    c_0_33,
    [final] ).

cnf(c_0_45,plain,
    ( a_truth(X1,X2)
    | ~ a_truth(and(X1,X3),X2) ),
    c_0_34,
    [final] ).

cnf(c_0_46,plain,
    ( a_truth(X1,X2)
    | ~ a_truth(and(X3,X1),X2) ),
    c_0_35,
    [final] ).

cnf(c_0_47,plain,
    ( ~ a_truth(X1,X2)
    | ~ says(X3,X1)
    | ~ a_truth(knave(X3),X2) ),
    c_0_36,
    [final] ).

cnf(c_0_48,plain,
    ( a_truth(X1,X2)
    | ~ says(X3,X1)
    | ~ a_truth(knight(X3),X2) ),
    c_0_37,
    [final] ).

cnf(c_0_49,plain,
    ( says(X3,X1)
    | ~ a_truth(X1,X2)
    | ~ a_truth(knight(X3),X2) ),
    c_0_38,
    [final] ).

cnf(c_0_50,plain,
    ( ~ a_truth(knave(X1),X2)
    | ~ a_truth(knight(X1),X2) ),
    c_0_39,
    [final] ).

cnf(c_0_51,plain,
    ( ~ a_truth(poor(X1),X2)
    | ~ a_truth(rich(X1),X2) ),
    c_0_40,
    [final] ).

cnf(c_0_52,plain,
    ( a_truth(X1,X2)
    | says(X3,X1)
    | ~ a_truth(knave(X3),X2) ),
    c_0_41,
    [final] ).

cnf(c_0_53,plain,
    ( a_truth(knave(X1),X2)
    | a_truth(knight(X1),X2) ),
    c_0_42,
    [final] ).

cnf(c_0_54,plain,
    ( a_truth(poor(X1),X2)
    | a_truth(rich(X1),X2) ),
    c_0_43,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_44_0,axiom,
    ( a_truth(and(X3,X1),X2)
    | ~ a_truth(X1,X2)
    | ~ a_truth(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_44_1,axiom,
    ( ~ a_truth(X1,X2)
    | a_truth(and(X3,X1),X2)
    | ~ a_truth(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_44_2,axiom,
    ( ~ a_truth(X3,X2)
    | ~ a_truth(X1,X2)
    | a_truth(and(X3,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_45_0,axiom,
    ( a_truth(X1,X2)
    | ~ a_truth(and(X1,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_45_1,axiom,
    ( ~ a_truth(and(X1,X3),X2)
    | a_truth(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_46_0,axiom,
    ( a_truth(X1,X2)
    | ~ a_truth(and(X3,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_46_1,axiom,
    ( ~ a_truth(and(X3,X1),X2)
    | a_truth(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_47_0,axiom,
    ( ~ a_truth(X1,X2)
    | ~ says(X3,X1)
    | ~ a_truth(knave(X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_47_1,axiom,
    ( ~ says(X3,X1)
    | ~ a_truth(X1,X2)
    | ~ a_truth(knave(X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_47_2,axiom,
    ( ~ a_truth(knave(X3),X2)
    | ~ says(X3,X1)
    | ~ a_truth(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_48_0,axiom,
    ( a_truth(X1,X2)
    | ~ says(X3,X1)
    | ~ a_truth(knight(X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_48_1,axiom,
    ( ~ says(X3,X1)
    | a_truth(X1,X2)
    | ~ a_truth(knight(X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_48_2,axiom,
    ( ~ a_truth(knight(X3),X2)
    | ~ says(X3,X1)
    | a_truth(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_49_0,axiom,
    ( says(X3,X1)
    | ~ a_truth(X1,X2)
    | ~ a_truth(knight(X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_49_1,axiom,
    ( ~ a_truth(X1,X2)
    | says(X3,X1)
    | ~ a_truth(knight(X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_49_2,axiom,
    ( ~ a_truth(knight(X3),X2)
    | ~ a_truth(X1,X2)
    | says(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_50_0,axiom,
    ( ~ a_truth(knave(X1),X2)
    | ~ a_truth(knight(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_50]) ).

cnf(c_0_50_1,axiom,
    ( ~ a_truth(knight(X1),X2)
    | ~ a_truth(knave(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_50]) ).

cnf(c_0_51_0,axiom,
    ( ~ a_truth(poor(X1),X2)
    | ~ a_truth(rich(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_51]) ).

cnf(c_0_51_1,axiom,
    ( ~ a_truth(rich(X1),X2)
    | ~ a_truth(poor(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_51]) ).

cnf(c_0_52_0,axiom,
    ( a_truth(X1,X2)
    | says(X3,X1)
    | ~ a_truth(knave(X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_52_1,axiom,
    ( says(X3,X1)
    | a_truth(X1,X2)
    | ~ a_truth(knave(X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_52_2,axiom,
    ( ~ a_truth(knave(X3),X2)
    | says(X3,X1)
    | a_truth(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_53_0,axiom,
    ( a_truth(knave(X1),X2)
    | a_truth(knight(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_53_1,axiom,
    ( a_truth(knight(X1),X2)
    | a_truth(knave(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_54_0,axiom,
    ( a_truth(poor(X1),X2)
    | a_truth(rich(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_54_1,axiom,
    ( a_truth(rich(X1),X2)
    | a_truth(poor(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
    ! [X1] :
      ( ~ says(me,X1)
      | ~ a_truth(and(knave(me),rich(me)),X1) ),
    file('<stdin>',prove_statement_exists1) ).

fof(c_0_1_002,negated_conjecture,
    ! [X1] :
      ( says(me,X1)
      | a_truth(and(knave(me),rich(me)),X1) ),
    file('<stdin>',prove_statement_exists2) ).

fof(c_0_2_003,negated_conjecture,
    ! [X1] :
      ( ~ says(me,X1)
      | ~ a_truth(and(knave(me),rich(me)),X1) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_3_004,negated_conjecture,
    ! [X1] :
      ( says(me,X1)
      | a_truth(and(knave(me),rich(me)),X1) ),
    c_0_1 ).

fof(c_0_4_005,negated_conjecture,
    ! [X2] :
      ( ~ says(me,X2)
      | ~ a_truth(and(knave(me),rich(me)),X2) ),
    inference(variable_rename,[status(thm)],[c_0_2]) ).

fof(c_0_5_006,negated_conjecture,
    ! [X2] :
      ( says(me,X2)
      | a_truth(and(knave(me),rich(me)),X2) ),
    inference(variable_rename,[status(thm)],[c_0_3]) ).

cnf(c_0_6_007,negated_conjecture,
    ( ~ a_truth(and(knave(me),rich(me)),X1)
    | ~ says(me,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_008,negated_conjecture,
    ( a_truth(and(knave(me),rich(me)),X1)
    | says(me,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8_009,negated_conjecture,
    ( ~ a_truth(and(knave(me),rich(me)),X1)
    | ~ says(me,X1) ),
    c_0_6,
    [final] ).

cnf(c_0_9_010,negated_conjecture,
    ( a_truth(and(knave(me),rich(me)),X1)
    | says(me,X1) ),
    c_0_7,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_10,plain,
    ( ~ a_truth(knight(X0),X1)
    | ~ says(X0,X2)
    | a_truth(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e6c146.p',c_0_48_0) ).

cnf(c_65,plain,
    ( ~ a_truth(knight(X0),X1)
    | ~ says(X0,X2)
    | a_truth(X2,X1) ),
    inference(copy,[status(esa)],[c_10]) ).

cnf(c_23637,plain,
    ( a_truth(and(X0,X1),X2)
    | ~ a_truth(knight(X3),X2)
    | ~ says(X3,and(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_65]) ).

cnf(c_461420,plain,
    ( a_truth(and(and(knave(me),rich(me)),poor(X0)),X1)
    | ~ a_truth(knight(X2),X1)
    | ~ says(X2,and(and(knave(me),rich(me)),poor(X0))) ),
    inference(instantiation,[status(thm)],[c_23637]) ).

cnf(c_464050,plain,
    ( a_truth(and(and(knave(me),rich(me)),poor(X0)),poor(X1))
    | ~ a_truth(knight(X2),poor(X1))
    | ~ says(X2,and(and(knave(me),rich(me)),poor(X0))) ),
    inference(instantiation,[status(thm)],[c_461420]) ).

cnf(c_464051,plain,
    ( a_truth(and(and(knave(me),rich(me)),poor(me)),poor(me))
    | ~ a_truth(knight(me),poor(me))
    | ~ says(me,and(and(knave(me),rich(me)),poor(me))) ),
    inference(instantiation,[status(thm)],[c_464050]) ).

cnf(c_20,plain,
    ( ~ a_truth(knave(X0),X1)
    | says(X0,X2)
    | a_truth(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e6c146.p',c_0_52_0) ).

cnf(c_75,plain,
    ( ~ a_truth(knave(X0),X1)
    | says(X0,X2)
    | a_truth(X2,X1) ),
    inference(copy,[status(esa)],[c_20]) ).

cnf(c_65682,plain,
    ( ~ a_truth(knave(X0),rich(me))
    | a_truth(X1,rich(me))
    | says(X0,X1) ),
    inference(instantiation,[status(thm)],[c_75]) ).

cnf(c_66790,plain,
    ( a_truth(and(and(knave(me),rich(me)),poor(X0)),rich(me))
    | ~ a_truth(knave(X1),rich(me))
    | says(X1,and(and(knave(me),rich(me)),poor(X0))) ),
    inference(instantiation,[status(thm)],[c_65682]) ).

cnf(c_66791,plain,
    ( a_truth(and(and(knave(me),rich(me)),poor(me)),rich(me))
    | ~ a_truth(knave(me),rich(me))
    | says(me,and(and(knave(me),rich(me)),poor(me))) ),
    inference(instantiation,[status(thm)],[c_66790]) ).

cnf(c_66781,plain,
    ( ~ a_truth(knave(X0),rich(me))
    | a_truth(poor(X1),rich(me))
    | says(X0,poor(X1)) ),
    inference(instantiation,[status(thm)],[c_65682]) ).

cnf(c_66782,plain,
    ( ~ a_truth(knave(me),rich(me))
    | a_truth(poor(me),rich(me))
    | says(me,poor(me)) ),
    inference(instantiation,[status(thm)],[c_66781]) ).

cnf(c_5,plain,
    ( ~ a_truth(and(X0,X1),X2)
    | a_truth(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e6c146.p',c_0_46_0) ).

cnf(c_60,plain,
    ( ~ a_truth(and(X0,X1),X2)
    | a_truth(X1,X2) ),
    inference(copy,[status(esa)],[c_5]) ).

cnf(c_24146,plain,
    ( ~ a_truth(and(X0,poor(X1)),X2)
    | a_truth(poor(X1),X2) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_24556,plain,
    ( ~ a_truth(and(and(knave(me),rich(me)),poor(X0)),X1)
    | a_truth(poor(X0),X1) ),
    inference(instantiation,[status(thm)],[c_24146]) ).

cnf(c_66424,plain,
    ( ~ a_truth(and(and(knave(me),rich(me)),poor(X0)),rich(me))
    | a_truth(poor(X0),rich(me)) ),
    inference(instantiation,[status(thm)],[c_24556]) ).

cnf(c_66426,plain,
    ( ~ a_truth(and(and(knave(me),rich(me)),poor(me)),rich(me))
    | a_truth(poor(me),rich(me)) ),
    inference(instantiation,[status(thm)],[c_66424]) ).

cnf(c_19,plain,
    ( ~ a_truth(poor(X0),X1)
    | ~ a_truth(rich(X0),X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e6c146.p',c_0_51_1) ).

cnf(c_74,plain,
    ( ~ a_truth(poor(X0),X1)
    | ~ a_truth(rich(X0),X1) ),
    inference(copy,[status(esa)],[c_19]) ).

cnf(c_66402,plain,
    ( ~ a_truth(poor(X0),rich(me))
    | ~ a_truth(rich(X0),rich(me)) ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_66409,plain,
    ( ~ a_truth(poor(me),rich(me))
    | ~ a_truth(rich(me),rich(me)) ),
    inference(instantiation,[status(thm)],[c_66402]) ).

cnf(c_24,plain,
    ( a_truth(knave(X0),X1)
    | a_truth(knight(X0),X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e6c146.p',c_0_53_1) ).

cnf(c_79,plain,
    ( a_truth(knave(X0),X1)
    | a_truth(knight(X0),X1) ),
    inference(copy,[status(esa)],[c_24]) ).

cnf(c_24525,plain,
    ( a_truth(knave(me),poor(X0))
    | a_truth(knight(me),poor(X0)) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_24527,plain,
    ( a_truth(knave(me),poor(me))
    | a_truth(knight(me),poor(me)) ),
    inference(instantiation,[status(thm)],[c_24525]) ).

cnf(c_3,plain,
    ( ~ a_truth(and(X0,X1),X2)
    | a_truth(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e6c146.p',c_0_45_0) ).

cnf(c_58,plain,
    ( ~ a_truth(and(X0,X1),X2)
    | a_truth(X0,X2) ),
    inference(copy,[status(esa)],[c_3]) ).

cnf(c_23736,plain,
    ( ~ a_truth(and(and(knave(me),rich(me)),X0),X1)
    | a_truth(and(knave(me),rich(me)),X1) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_24123,plain,
    ( ~ a_truth(and(and(knave(me),rich(me)),X0),poor(X1))
    | a_truth(and(knave(me),rich(me)),poor(X1)) ),
    inference(instantiation,[status(thm)],[c_23736]) ).

cnf(c_24475,plain,
    ( ~ a_truth(and(and(knave(me),rich(me)),poor(X0)),poor(X1))
    | a_truth(and(knave(me),rich(me)),poor(X1)) ),
    inference(instantiation,[status(thm)],[c_24123]) ).

cnf(c_24477,plain,
    ( ~ a_truth(and(and(knave(me),rich(me)),poor(me)),poor(me))
    | a_truth(and(knave(me),rich(me)),poor(me)) ),
    inference(instantiation,[status(thm)],[c_24475]) ).

cnf(c_21,plain,
    ( ~ a_truth(knave(X0),X1)
    | a_truth(X2,X1)
    | says(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e6c146.p',c_0_52_1) ).

cnf(c_76,plain,
    ( ~ a_truth(knave(X0),X1)
    | a_truth(X2,X1)
    | says(X0,X2) ),
    inference(copy,[status(esa)],[c_21]) ).

cnf(c_23554,plain,
    ( a_truth(and(knave(me),rich(me)),X0)
    | ~ a_truth(knave(X1),X0)
    | says(X1,and(knave(me),rich(me))) ),
    inference(instantiation,[status(thm)],[c_76]) ).

cnf(c_24262,plain,
    ( a_truth(and(knave(me),rich(me)),poor(X0))
    | ~ a_truth(knave(X1),poor(X0))
    | says(X1,and(knave(me),rich(me))) ),
    inference(instantiation,[status(thm)],[c_23554]) ).

cnf(c_24263,plain,
    ( a_truth(and(knave(me),rich(me)),poor(me))
    | ~ a_truth(knave(me),poor(me))
    | says(me,and(knave(me),rich(me))) ),
    inference(instantiation,[status(thm)],[c_24262]) ).

cnf(c_23342,plain,
    ( ~ a_truth(and(knave(me),rich(me)),X0)
    | a_truth(rich(me),X0) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_24107,plain,
    ( ~ a_truth(and(knave(me),rich(me)),rich(me))
    | a_truth(rich(me),rich(me)) ),
    inference(instantiation,[status(thm)],[c_23342]) ).

cnf(c_23343,plain,
    ( ~ a_truth(and(knave(me),rich(me)),X0)
    | a_truth(knave(me),X0) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_24108,plain,
    ( ~ a_truth(and(knave(me),rich(me)),rich(me))
    | a_truth(knave(me),rich(me)) ),
    inference(instantiation,[status(thm)],[c_23343]) ).

cnf(c_9,plain,
    ( ~ a_truth(X0,X1)
    | ~ says(X2,X0)
    | ~ a_truth(knave(X2),X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e6c146.p',c_0_47_2) ).

cnf(c_64,plain,
    ( ~ a_truth(X0,X1)
    | ~ says(X2,X0)
    | ~ a_truth(knave(X2),X1) ),
    inference(copy,[status(esa)],[c_9]) ).

cnf(c_23483,plain,
    ( ~ a_truth(knave(X0),X1)
    | ~ a_truth(rich(X2),X1)
    | ~ says(X0,rich(X2)) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_23904,plain,
    ( ~ a_truth(knave(me),knave(X0))
    | ~ a_truth(rich(X1),knave(X0))
    | ~ says(me,rich(X1)) ),
    inference(instantiation,[status(thm)],[c_23483]) ).

cnf(c_23915,plain,
    ( ~ a_truth(knave(me),knave(me))
    | ~ a_truth(rich(me),knave(me))
    | ~ says(me,rich(me)) ),
    inference(instantiation,[status(thm)],[c_23904]) ).

cnf(c_23562,plain,
    ( ~ a_truth(and(knave(me),rich(me)),knave(X0))
    | a_truth(rich(me),knave(X0)) ),
    inference(instantiation,[status(thm)],[c_23342]) ).

cnf(c_23563,plain,
    ( ~ a_truth(and(knave(me),rich(me)),knave(me))
    | a_truth(rich(me),knave(me)) ),
    inference(instantiation,[status(thm)],[c_23562]) ).

cnf(c_23560,plain,
    ( ~ a_truth(and(knave(me),rich(me)),knave(X0))
    | a_truth(knave(me),knave(X0)) ),
    inference(instantiation,[status(thm)],[c_23343]) ).

cnf(c_23561,plain,
    ( ~ a_truth(and(knave(me),rich(me)),knave(me))
    | a_truth(knave(me),knave(me)) ),
    inference(instantiation,[status(thm)],[c_23560]) ).

cnf(c_28,negated_conjecture,
    ( a_truth(and(knave(me),rich(me)),X0)
    | says(me,X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e6c146.p',c_0_9) ).

cnf(c_43,negated_conjecture,
    ( a_truth(and(knave(me),rich(me)),X0)
    | says(me,X0) ),
    inference(copy,[status(esa)],[c_28]) ).

cnf(c_50,negated_conjecture,
    ( a_truth(and(knave(me),rich(me)),X0)
    | says(me,X0) ),
    inference(copy,[status(esa)],[c_43]) ).

cnf(c_51,negated_conjecture,
    ( a_truth(and(knave(me),rich(me)),X0)
    | says(me,X0) ),
    inference(copy,[status(esa)],[c_50]) ).

cnf(c_54,negated_conjecture,
    ( a_truth(and(knave(me),rich(me)),X0)
    | says(me,X0) ),
    inference(copy,[status(esa)],[c_51]) ).

cnf(c_83,negated_conjecture,
    ( a_truth(and(knave(me),rich(me)),X0)
    | says(me,X0) ),
    inference(copy,[status(esa)],[c_54]) ).

cnf(c_23553,plain,
    ( a_truth(and(knave(me),rich(me)),rich(me))
    | says(me,rich(me)) ),
    inference(instantiation,[status(thm)],[c_83]) ).

cnf(c_23337,plain,
    ( ~ a_truth(and(knave(me),rich(me)),X0)
    | ~ a_truth(knave(X1),X0)
    | ~ says(X1,and(knave(me),rich(me))) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_23440,plain,
    ( ~ a_truth(and(knave(me),rich(me)),knave(X0))
    | ~ a_truth(knave(X1),knave(X0))
    | ~ says(X1,and(knave(me),rich(me))) ),
    inference(instantiation,[status(thm)],[c_23337]) ).

cnf(c_23441,plain,
    ( ~ a_truth(and(knave(me),rich(me)),knave(me))
    | ~ a_truth(knave(me),knave(me))
    | ~ says(me,and(knave(me),rich(me))) ),
    inference(instantiation,[status(thm)],[c_23440]) ).

cnf(c_27,negated_conjecture,
    ( ~ a_truth(and(knave(me),rich(me)),X0)
    | ~ says(me,X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e6c146.p',c_0_8) ).

cnf(c_41,negated_conjecture,
    ( ~ a_truth(and(knave(me),rich(me)),X0)
    | ~ says(me,X0) ),
    inference(copy,[status(esa)],[c_27]) ).

cnf(c_49,negated_conjecture,
    ( ~ a_truth(and(knave(me),rich(me)),X0)
    | ~ says(me,X0) ),
    inference(copy,[status(esa)],[c_41]) ).

cnf(c_52,negated_conjecture,
    ( ~ a_truth(and(knave(me),rich(me)),X0)
    | ~ says(me,X0) ),
    inference(copy,[status(esa)],[c_49]) ).

cnf(c_53,negated_conjecture,
    ( ~ a_truth(and(knave(me),rich(me)),X0)
    | ~ says(me,X0) ),
    inference(copy,[status(esa)],[c_52]) ).

cnf(c_82,negated_conjecture,
    ( ~ a_truth(and(knave(me),rich(me)),X0)
    | ~ says(me,X0) ),
    inference(copy,[status(esa)],[c_53]) ).

cnf(c_23350,plain,
    ( ~ a_truth(and(knave(me),rich(me)),poor(X0))
    | ~ says(me,poor(X0)) ),
    inference(instantiation,[status(thm)],[c_82]) ).

cnf(c_23351,plain,
    ( ~ a_truth(and(knave(me),rich(me)),poor(me))
    | ~ says(me,poor(me)) ),
    inference(instantiation,[status(thm)],[c_23350]) ).

cnf(c_23329,plain,
    ( a_truth(knave(X0),X1)
    | ~ a_truth(knight(me),X1)
    | ~ says(me,knave(X0)) ),
    inference(instantiation,[status(thm)],[c_65]) ).

cnf(c_23330,plain,
    ( a_truth(knave(me),me)
    | ~ a_truth(knight(me),me)
    | ~ says(me,knave(me)) ),
    inference(instantiation,[status(thm)],[c_23329]) ).

cnf(c_23308,plain,
    ( a_truth(and(knave(me),rich(me)),knave(X0))
    | says(me,knave(X0)) ),
    inference(instantiation,[status(thm)],[c_83]) ).

cnf(c_23309,plain,
    ( a_truth(and(knave(me),rich(me)),knave(me))
    | says(me,knave(me)) ),
    inference(instantiation,[status(thm)],[c_23308]) ).

cnf(c_7,plain,
    ( ~ a_truth(knave(X0),X1)
    | ~ says(X0,X2)
    | ~ a_truth(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_e6c146.p',c_0_47_0) ).

cnf(c_62,plain,
    ( ~ a_truth(knave(X0),X1)
    | ~ says(X0,X2)
    | ~ a_truth(X2,X1) ),
    inference(copy,[status(esa)],[c_7]) ).

cnf(c_23283,plain,
    ( ~ a_truth(knave(X0),X1)
    | ~ a_truth(knave(X2),X1)
    | ~ says(X0,knave(X2)) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_23284,plain,
    ( ~ a_truth(knave(me),me)
    | ~ says(me,knave(me)) ),
    inference(instantiation,[status(thm)],[c_23283]) ).

cnf(c_32,plain,
    ( a_truth(knave(me),me)
    | a_truth(knight(me),me) ),
    inference(instantiation,[status(thm)],[c_24]) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_464051,c_66791,c_66782,c_66426,c_66409,c_24527,c_24477,c_24263,c_24107,c_24108,c_23915,c_23563,c_23561,c_23553,c_23441,c_23351,c_23330,c_23309,c_23284,c_32]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PUZ021-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : iprover_modulo %s %d
% 0.12/0.34  % Computer : n021.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 : Sat May 28 21:40:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.12/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.12/0.40  % Orientation found
% 0.12/0.40  % 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_9057d8.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_e6c146.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_405c68 | grep -v "SZS"
% 0.20/0.43  
% 0.20/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------  iProver source info 
% 0.20/0.43  
% 0.20/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43  % git: non_committed_changes: true
% 0.20/0.43  % git: last_make_outside_of_git: true
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.20/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.43  % --bmc1_dump_file                      -
% 0.20/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.43  % --bmc1_ucm_extend_mode                1
% 0.20/0.43  % --bmc1_ucm_init_mode                  2
% 0.20/0.43  % --bmc1_ucm_cone_mode                  none
% 0.20/0.43  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.43  % --bmc1_ucm_relax_model                4
% 0.20/0.43  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.43  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.43  % --bmc1_ucm_layered_model              none
% 0.20/0.43  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.43  
% 0.20/0.43  % ------ AIG Options
% 0.20/0.43  
% 0.20/0.43  % --aig_mode                            false
% 0.20/0.43  
% 0.20/0.43  % ------ Instantiation Options
% 0.20/0.43  
% 0.20/0.43  % --instantiation_flag                  true
% 0.20/0.43  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43  % --inst_solver_per_active              750
% 0.20/0.43  % --inst_solver_calls_frac              0.5
% 0.20/0.43  % --inst_passive_queue_type             priority_queues
% 0.20/0.43  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43  % --inst_passive_queues_freq            [25;2]
% 0.20/0.43  % --inst_dismatching                    true
% 0.20/0.43  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.43  % --inst_prop_sim_given                 true
% 0.20/0.43  % --inst_prop_sim_new                   false
% 0.20/0.43  % --inst_orphan_elimination             true
% 0.20/0.43  % --inst_learning_loop_flag             true
% 0.20/0.43  % --inst_learning_start                 3000
% 0.20/0.43  % --inst_learning_factor                2
% 0.20/0.43  % --inst_start_prop_sim_after_learn     3
% 0.20/0.43  % --inst_sel_renew                      solver
% 0.20/0.43  % --inst_lit_activity_flag              true
% 0.20/0.43  % --inst_out_proof                      true
% 0.20/0.43  
% 0.20/0.43  % ------ Resolution Options
% 0.20/0.43  
% 0.20/0.43  % --resolution_flag                     true
% 0.20/0.43  % --res_lit_sel                         kbo_max
% 0.20/0.43  % --res_to_prop_solver                  none
% 0.20/0.43  % --res_prop_simpl_new                  false
% 0.20/0.43  % --res_prop_simpl_given                false
% 0.20/0.43  % --res_passive_queue_type              priority_queues
% 0.20/0.43  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.43  % --res_passive_queues_freq             [15;5]
% 0.20/0.43  % --res_forward_subs                    full
% 0.20/0.43  % --res_backward_subs                   full
% 0.20/0.43  % --res_forward_subs_resolution         true
% 0.20/0.43  % --res_backward_subs_resolution        true
% 0.20/0.43  % --res_orphan_elimination              false
% 0.20/0.43  % --res_time_limit                      1000.
% 0.20/0.43  % --res_out_proof                       true
% 0.20/0.43  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_9057d8.s
% 0.20/0.43  % --modulo                              true
% 0.20/0.43  
% 0.20/0.43  % ------ Combination Options
% 0.20/0.43  
% 0.20/0.43  % --comb_res_mult                       1000
% 0.20/0.43  % --comb_inst_mult                      300
% 0.20/0.43  % ------ 
% 0.20/0.43  
% 0.20/0.43  % ------ Parsing...% successful
% 0.20/0.43  
% 0.20/0.43  % ------ 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 % 
% 0.20/0.43  
% 0.20/0.43  % ------ Proving...
% 0.20/0.43  % ------ Problem Properties 
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % EPR                                   false
% 0.20/0.43  % Horn                                  false
% 0.20/0.43  % Has equality                          false
% 0.20/0.43  
% 0.20/0.43  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  % % ------ Current options:
% 0.20/0.43  
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.20/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.43  % --bmc1_dump_file                      -
% 0.20/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.43  % --bmc1_ucm_extend_mode                1
% 0.20/0.43  % --bmc1_ucm_init_mode                  2
% 0.20/0.43  % --bmc1_ucm_cone_mode                  none
% 0.20/0.43  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.43  % --bmc1_ucm_relax_model                4
% 0.20/0.43  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.43  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.43  % --bmc1_ucm_layered_model              none
% 0.20/0.43  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.43  
% 0.20/0.43  % ------ AIG Options
% 0.20/0.43  
% 0.20/0.43  % --aig_mode                            false
% 0.20/0.43  
% 0.20/0.43  % ------ Instantiation Options
% 0.20/0.43  
% 0.20/0.43  % --instantiation_flag                  true
% 0.20/0.43  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43  % --inst_solver_per_active              750
% 0.20/0.43  % --inst_solver_calls_frac              0.5
% 0.20/0.43  % --inst_passive_queue_type             priority_queues
% 0.20/0.43  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43  % --inst_passive_queues_freq            [25;2]
% 0.20/0.43  % --inst_dismatching                    true
% 0.20/0.43  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.43  % --inst_prop_sim_given                 true
% 23.63/23.85  % --inst_prop_sim_new                   false
% 23.63/23.85  % --inst_orphan_elimination             true
% 23.63/23.85  % --inst_learning_loop_flag             true
% 23.63/23.85  % --inst_learning_start                 3000
% 23.63/23.85  % --inst_learning_factor                2
% 23.63/23.85  % --inst_start_prop_sim_after_learn     3
% 23.63/23.85  % --inst_sel_renew                      solver
% 23.63/23.85  % --inst_lit_activity_flag              true
% 23.63/23.85  % --inst_out_proof                      true
% 23.63/23.85  
% 23.63/23.85  % ------ Resolution Options
% 23.63/23.85  
% 23.63/23.85  % --resolution_flag                     true
% 23.63/23.85  % --res_lit_sel                         kbo_max
% 23.63/23.85  % --res_to_prop_solver                  none
% 23.63/23.85  % --res_prop_simpl_new                  false
% 23.63/23.85  % --res_prop_simpl_given                false
% 23.63/23.85  % --res_passive_queue_type              priority_queues
% 23.63/23.85  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 23.63/23.85  % --res_passive_queues_freq             [15;5]
% 23.63/23.85  % --res_forward_subs                    full
% 23.63/23.85  % --res_backward_subs                   full
% 23.63/23.85  % --res_forward_subs_resolution         true
% 23.63/23.85  % --res_backward_subs_resolution        true
% 23.63/23.85  % --res_orphan_elimination              false
% 23.63/23.85  % --res_time_limit                      1000.
% 23.63/23.85  % --res_out_proof                       true
% 23.63/23.85  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_9057d8.s
% 23.63/23.85  % --modulo                              true
% 23.63/23.85  
% 23.63/23.85  % ------ Combination Options
% 23.63/23.85  
% 23.63/23.85  % --comb_res_mult                       1000
% 23.63/23.85  % --comb_inst_mult                      300
% 23.63/23.85  % ------ 
% 23.63/23.85  
% 23.63/23.85  
% 23.63/23.85  
% 23.63/23.85  % ------ Proving...
% 23.63/23.85  % 
% 23.63/23.85  
% 23.63/23.85  
% 23.63/23.85  % ------                             Statistics
% 23.63/23.85  
% 23.63/23.85  % ------ General
% 23.63/23.85  
% 23.63/23.85  % num_of_input_clauses:                 29
% 23.63/23.85  % num_of_input_neg_conjectures:         2
% 23.63/23.85  % num_of_splits:                        0
% 23.63/23.85  % num_of_split_atoms:                   0
% 23.63/23.85  % num_of_sem_filtered_clauses:          0
% 23.63/23.85  % num_of_subtypes:                      0
% 23.63/23.85  % monotx_restored_types:                0
% 23.63/23.85  % sat_num_of_epr_types:                 0
% 23.63/23.85  % sat_num_of_non_cyclic_types:          0
% 23.63/23.85  % sat_guarded_non_collapsed_types:      0
% 23.63/23.85  % is_epr:                               0
% 23.63/23.85  % is_horn:                              0
% 23.63/23.85  % has_eq:                               0
% 23.63/23.85  % num_pure_diseq_elim:                  0
% 23.63/23.85  % simp_replaced_by:                     0
% 23.63/23.85  % res_preprocessed:                     4
% 23.63/23.85  % prep_upred:                           0
% 23.63/23.85  % prep_unflattend:                      0
% 23.63/23.85  % pred_elim_cands:                      0
% 23.63/23.85  % pred_elim:                            0
% 23.63/23.85  % pred_elim_cl:                         0
% 23.63/23.85  % pred_elim_cycles:                     0
% 23.63/23.85  % forced_gc_time:                       0
% 23.63/23.85  % gc_basic_clause_elim:                 0
% 23.63/23.85  % parsing_time:                         0.001
% 23.63/23.85  % sem_filter_time:                      0.
% 23.63/23.85  % pred_elim_time:                       0.
% 23.63/23.85  % out_proof_time:                       0.002
% 23.63/23.85  % monotx_time:                          0.
% 23.63/23.85  % subtype_inf_time:                     0.
% 23.63/23.85  % unif_index_cands_time:                0.021
% 23.63/23.85  % unif_index_add_time:                  0.005
% 23.63/23.85  % total_time:                           23.439
% 23.63/23.85  % num_of_symbols:                       33
% 23.63/23.85  % num_of_terms:                         11722
% 23.63/23.85  
% 23.63/23.85  % ------ Propositional Solver
% 23.63/23.85  
% 23.63/23.85  % prop_solver_calls:                    12
% 23.63/23.85  % prop_fast_solver_calls:               12
% 23.63/23.85  % prop_num_of_clauses:                  2619
% 23.63/23.85  % prop_preprocess_simplified:           3140
% 23.63/23.85  % prop_fo_subsumed:                     0
% 23.63/23.85  % prop_solver_time:                     0.
% 23.63/23.85  % prop_fast_solver_time:                0.
% 23.63/23.85  % prop_unsat_core_time:                 0.
% 23.63/23.85  
% 23.63/23.85  % ------ QBF 
% 23.63/23.85  
% 23.63/23.85  % qbf_q_res:                            0
% 23.63/23.85  % qbf_num_tautologies:                  0
% 23.63/23.85  % qbf_prep_cycles:                      0
% 23.63/23.85  
% 23.63/23.85  % ------ BMC1
% 23.63/23.85  
% 23.63/23.85  % bmc1_current_bound:                   -1
% 23.63/23.85  % bmc1_last_solved_bound:               -1
% 23.63/23.85  % bmc1_unsat_core_size:                 -1
% 23.63/23.85  % bmc1_unsat_core_parents_size:         -1
% 23.63/23.85  % bmc1_merge_next_fun:                  0
% 23.63/23.85  % bmc1_unsat_core_clauses_time:         0.
% 23.63/23.85  
% 23.63/23.85  % ------ Instantiation
% 23.63/23.85  
% 23.63/23.85  % inst_num_of_clauses:                  1503
% 23.63/23.85  % inst_num_in_passive:                  708
% 23.63/23.85  % inst_num_in_active:                   639
% 23.63/23.85  % inst_num_in_unprocessed:              152
% 23.63/23.85  % inst_num_of_loops:                    827
% 23.63/23.85  % inst_num_of_learning_restarts:        0
% 23.63/23.85  % inst_num_moves_active_passive:        181
% 23.63/23.85  % inst_lit_activity:                    143
% 23.63/23.85  % inst_lit_activity_moves:              0
% 23.63/23.85  % inst_num_tautologies:                 2
% 23.63/23.85  % inst_num_prop_implied:                0
% 23.63/23.85  % inst_num_existing_simplified:         0
% 23.63/23.85  % inst_num_eq_res_simplified:           0
% 23.63/23.85  % inst_num_child_elim:                  0
% 23.63/23.85  % inst_num_of_dismatching_blockings:    2933
% 23.63/23.85  % inst_num_of_non_proper_insts:         5346
% 23.63/23.85  % inst_num_of_duplicates:               2854
% 23.63/23.85  % inst_inst_num_from_inst_to_res:       0
% 23.63/23.85  % inst_dismatching_checking_time:       0.01
% 23.63/23.85  
% 23.63/23.85  % ------ Resolution
% 23.63/23.85  
% 23.63/23.85  % res_num_of_clauses:                   108802
% 23.63/23.85  % res_num_in_passive:                   108030
% 23.63/23.85  % res_num_in_active:                    1189
% 23.63/23.85  % res_num_of_loops:                     3000
% 23.63/23.85  % res_forward_subset_subsumed:          97707
% 23.63/23.85  % res_backward_subset_subsumed:         457
% 23.63/23.85  % res_forward_subsumed:                 1627
% 23.63/23.85  % res_backward_subsumed:                54
% 23.63/23.85  % res_forward_subsumption_resolution:   636
% 23.63/23.85  % res_backward_subsumption_resolution:  3
% 23.63/23.85  % res_clause_to_clause_subsumption:     247862
% 23.63/23.85  % res_orphan_elimination:               0
% 23.63/23.85  % res_tautology_del:                    7885
% 23.63/23.85  % res_num_eq_res_simplified:            0
% 23.63/23.85  % res_num_sel_changes:                  0
% 23.63/23.85  % res_moves_from_active_to_pass:        0
% 23.63/23.85  
% 23.63/23.85  % Status Unsatisfiable
% 23.63/23.85  % SZS status Unsatisfiable
% 23.63/23.85  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------