TSTP Solution File: PUZ023-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : PUZ023-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n019.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 0.20s 0.44s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  213 (  40 unt;   0 def)
%            Number of atoms       :  636 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  816 ( 393   ~; 423   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :  292 (  26 sgn  96   !;   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] :
      ( ~ people(X3,X2,X1)
      | a_truth(one_truthteller)
      | ~ a_truth(truthteller(X3))
      | a_truth(truthteller(X2))
      | a_truth(truthteller(X1)) ),
    file('<stdin>',identify_one_truthteller1) ).

fof(c_0_1,axiom,
    ! [X1,X2,X3] :
      ( ~ people(X3,X2,X1)
      | a_truth(one_truthteller)
      | ~ a_truth(truthteller(X2))
      | a_truth(truthteller(X3))
      | a_truth(truthteller(X1)) ),
    file('<stdin>',identify_one_truthteller2) ).

fof(c_0_2,axiom,
    ! [X1,X2,X3] :
      ( ~ people(X3,X2,X1)
      | a_truth(one_truthteller)
      | ~ a_truth(truthteller(X1))
      | a_truth(truthteller(X2))
      | a_truth(truthteller(X3)) ),
    file('<stdin>',identify_one_truthteller3) ).

fof(c_0_3,axiom,
    ! [X1,X2,X3] :
      ( ~ people(X3,X2,X1)
      | ~ a_truth(truthteller(X3))
      | ~ a_truth(truthteller(X2))
      | ~ a_truth(one_truthteller) ),
    file('<stdin>',two_truthtellers1) ).

fof(c_0_4,axiom,
    ! [X1,X2,X3] :
      ( ~ people(X3,X2,X1)
      | ~ a_truth(truthteller(X3))
      | ~ a_truth(truthteller(X1))
      | ~ a_truth(one_truthteller) ),
    file('<stdin>',two_truthtellers2) ).

fof(c_0_5,axiom,
    ! [X1,X2,X3] :
      ( ~ people(X3,X2,X1)
      | ~ a_truth(truthteller(X2))
      | ~ a_truth(truthteller(X1))
      | ~ a_truth(one_truthteller) ),
    file('<stdin>',two_truthtellers3) ).

fof(c_0_6,axiom,
    ! [X1,X2,X3] :
      ( ~ people(X3,X2,X1)
      | ~ a_truth(one_truthteller)
      | a_truth(truthteller(X3))
      | a_truth(truthteller(X2))
      | a_truth(truthteller(X1)) ),
    file('<stdin>',one_is_the_truthteller) ).

fof(c_0_7,axiom,
    ! [X4,X5] :
      ( ~ a_truth(liar(X5))
      | ~ a_truth(says(X5,X4))
      | ~ a_truth(X4) ),
    file('<stdin>',liars_lie) ).

fof(c_0_8,axiom,
    ! [X6,X4] :
      ( ~ a_truth(truthteller(X6))
      | ~ a_truth(says(X6,X4))
      | a_truth(X4) ),
    file('<stdin>',truthtellers_tell_truth) ).

fof(c_0_9,axiom,
    ! [X6,X4] :
      ( ~ a_truth(X4)
      | ~ a_truth(says(X6,X4))
      | a_truth(truthteller(X6)) ),
    file('<stdin>',truths_are_told_by_truthtellers) ).

fof(c_0_10,axiom,
    ! [X4,X5] :
      ( a_truth(X4)
      | ~ a_truth(says(X5,X4))
      | a_truth(liar(X5)) ),
    file('<stdin>',liars_are_told_by_liars) ).

fof(c_0_11,axiom,
    ! [X3] :
      ( ~ a_truth(truthteller(X3))
      | ~ a_truth(liar(X3)) ),
    file('<stdin>',not_both) ).

fof(c_0_12,axiom,
    ! [X3] :
      ( a_truth(truthteller(X3))
      | a_truth(liar(X3)) ),
    file('<stdin>',truthteller_or_liar) ).

fof(c_0_13,plain,
    ! [X1,X2,X3] :
      ( ~ people(X3,X2,X1)
      | a_truth(one_truthteller)
      | ~ a_truth(truthteller(X3))
      | a_truth(truthteller(X2))
      | a_truth(truthteller(X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_14,plain,
    ! [X1,X2,X3] :
      ( ~ people(X3,X2,X1)
      | a_truth(one_truthteller)
      | ~ a_truth(truthteller(X2))
      | a_truth(truthteller(X3))
      | a_truth(truthteller(X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_15,plain,
    ! [X1,X2,X3] :
      ( ~ people(X3,X2,X1)
      | a_truth(one_truthteller)
      | ~ a_truth(truthteller(X1))
      | a_truth(truthteller(X2))
      | a_truth(truthteller(X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_16,plain,
    ! [X1,X2,X3] :
      ( ~ people(X3,X2,X1)
      | ~ a_truth(truthteller(X3))
      | ~ a_truth(truthteller(X2))
      | ~ a_truth(one_truthteller) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_17,plain,
    ! [X1,X2,X3] :
      ( ~ people(X3,X2,X1)
      | ~ a_truth(truthteller(X3))
      | ~ a_truth(truthteller(X1))
      | ~ a_truth(one_truthteller) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_18,plain,
    ! [X1,X2,X3] :
      ( ~ people(X3,X2,X1)
      | ~ a_truth(truthteller(X2))
      | ~ a_truth(truthteller(X1))
      | ~ a_truth(one_truthteller) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_19,plain,
    ! [X1,X2,X3] :
      ( ~ people(X3,X2,X1)
      | ~ a_truth(one_truthteller)
      | a_truth(truthteller(X3))
      | a_truth(truthteller(X2))
      | a_truth(truthteller(X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_20,plain,
    ! [X4,X5] :
      ( ~ a_truth(liar(X5))
      | ~ a_truth(says(X5,X4))
      | ~ a_truth(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_21,plain,
    ! [X6,X4] :
      ( ~ a_truth(truthteller(X6))
      | ~ a_truth(says(X6,X4))
      | a_truth(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_22,plain,
    ! [X6,X4] :
      ( ~ a_truth(X4)
      | ~ a_truth(says(X6,X4))
      | a_truth(truthteller(X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_23,plain,
    ! [X4,X5] :
      ( a_truth(X4)
      | ~ a_truth(says(X5,X4))
      | a_truth(liar(X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_24,plain,
    ! [X3] :
      ( ~ a_truth(truthteller(X3))
      | ~ a_truth(liar(X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_25,axiom,
    ! [X3] :
      ( a_truth(truthteller(X3))
      | a_truth(liar(X3)) ),
    c_0_12 ).

fof(c_0_26,plain,
    ! [X4,X5,X6] :
      ( ~ people(X6,X5,X4)
      | a_truth(one_truthteller)
      | ~ a_truth(truthteller(X6))
      | a_truth(truthteller(X5))
      | a_truth(truthteller(X4)) ),
    inference(variable_rename,[status(thm)],[c_0_13]) ).

fof(c_0_27,plain,
    ! [X4,X5,X6] :
      ( ~ people(X6,X5,X4)
      | a_truth(one_truthteller)
      | ~ a_truth(truthteller(X5))
      | a_truth(truthteller(X6))
      | a_truth(truthteller(X4)) ),
    inference(variable_rename,[status(thm)],[c_0_14]) ).

fof(c_0_28,plain,
    ! [X4,X5,X6] :
      ( ~ people(X6,X5,X4)
      | a_truth(one_truthteller)
      | ~ a_truth(truthteller(X4))
      | a_truth(truthteller(X5))
      | a_truth(truthteller(X6)) ),
    inference(variable_rename,[status(thm)],[c_0_15]) ).

fof(c_0_29,plain,
    ! [X4,X5,X6] :
      ( ~ people(X6,X5,X4)
      | ~ a_truth(truthteller(X6))
      | ~ a_truth(truthteller(X5))
      | ~ a_truth(one_truthteller) ),
    inference(variable_rename,[status(thm)],[c_0_16]) ).

fof(c_0_30,plain,
    ! [X4,X5,X6] :
      ( ~ people(X6,X5,X4)
      | ~ a_truth(truthteller(X6))
      | ~ a_truth(truthteller(X4))
      | ~ a_truth(one_truthteller) ),
    inference(variable_rename,[status(thm)],[c_0_17]) ).

fof(c_0_31,plain,
    ! [X4,X5,X6] :
      ( ~ people(X6,X5,X4)
      | ~ a_truth(truthteller(X5))
      | ~ a_truth(truthteller(X4))
      | ~ a_truth(one_truthteller) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_18])])]) ).

fof(c_0_32,plain,
    ! [X4,X5,X6] :
      ( ~ people(X6,X5,X4)
      | ~ a_truth(one_truthteller)
      | a_truth(truthteller(X6))
      | a_truth(truthteller(X5))
      | a_truth(truthteller(X4)) ),
    inference(variable_rename,[status(thm)],[c_0_19]) ).

fof(c_0_33,plain,
    ! [X6,X7] :
      ( ~ a_truth(liar(X7))
      | ~ a_truth(says(X7,X6))
      | ~ a_truth(X6) ),
    inference(variable_rename,[status(thm)],[c_0_20]) ).

fof(c_0_34,plain,
    ! [X7,X8] :
      ( ~ a_truth(truthteller(X7))
      | ~ a_truth(says(X7,X8))
      | a_truth(X8) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_21])])]) ).

fof(c_0_35,plain,
    ! [X7,X8] :
      ( ~ a_truth(X8)
      | ~ a_truth(says(X7,X8))
      | a_truth(truthteller(X7)) ),
    inference(variable_rename,[status(thm)],[c_0_22]) ).

fof(c_0_36,plain,
    ! [X6,X7] :
      ( a_truth(X6)
      | ~ a_truth(says(X7,X6))
      | a_truth(liar(X7)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_23])])]) ).

fof(c_0_37,plain,
    ! [X4] :
      ( ~ a_truth(truthteller(X4))
      | ~ a_truth(liar(X4)) ),
    inference(variable_rename,[status(thm)],[c_0_24]) ).

fof(c_0_38,plain,
    ! [X4] :
      ( a_truth(truthteller(X4))
      | a_truth(liar(X4)) ),
    inference(variable_rename,[status(thm)],[c_0_25]) ).

cnf(c_0_39,plain,
    ( a_truth(truthteller(X1))
    | a_truth(truthteller(X2))
    | a_truth(one_truthteller)
    | ~ a_truth(truthteller(X3))
    | ~ people(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_40,plain,
    ( a_truth(truthteller(X1))
    | a_truth(truthteller(X2))
    | a_truth(one_truthteller)
    | ~ a_truth(truthteller(X3))
    | ~ people(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_41,plain,
    ( a_truth(truthteller(X1))
    | a_truth(truthteller(X2))
    | a_truth(one_truthteller)
    | ~ a_truth(truthteller(X3))
    | ~ people(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_42,plain,
    ( ~ a_truth(one_truthteller)
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(truthteller(X2))
    | ~ people(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_43,plain,
    ( ~ a_truth(one_truthteller)
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(truthteller(X2))
    | ~ people(X2,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_44,plain,
    ( ~ a_truth(one_truthteller)
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(truthteller(X2))
    | ~ people(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_45,plain,
    ( a_truth(truthteller(X1))
    | a_truth(truthteller(X2))
    | a_truth(truthteller(X3))
    | ~ a_truth(one_truthteller)
    | ~ people(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_46,plain,
    ( ~ a_truth(X1)
    | ~ a_truth(says(X2,X1))
    | ~ a_truth(liar(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_47,plain,
    ( a_truth(X1)
    | ~ a_truth(says(X2,X1))
    | ~ a_truth(truthteller(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_48,plain,
    ( a_truth(truthteller(X1))
    | ~ a_truth(says(X1,X2))
    | ~ a_truth(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_49,plain,
    ( a_truth(liar(X1))
    | a_truth(X2)
    | ~ a_truth(says(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_50,plain,
    ( ~ a_truth(liar(X1))
    | ~ a_truth(truthteller(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_51,plain,
    ( a_truth(liar(X1))
    | a_truth(truthteller(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_52,plain,
    ( a_truth(truthteller(X1))
    | a_truth(truthteller(X2))
    | a_truth(one_truthteller)
    | ~ a_truth(truthteller(X3))
    | ~ people(X3,X2,X1) ),
    c_0_39,
    [final] ).

cnf(c_0_53,plain,
    ( a_truth(truthteller(X1))
    | a_truth(truthteller(X2))
    | a_truth(one_truthteller)
    | ~ a_truth(truthteller(X3))
    | ~ people(X2,X3,X1) ),
    c_0_40,
    [final] ).

cnf(c_0_54,plain,
    ( a_truth(truthteller(X1))
    | a_truth(truthteller(X2))
    | a_truth(one_truthteller)
    | ~ a_truth(truthteller(X3))
    | ~ people(X1,X2,X3) ),
    c_0_41,
    [final] ).

cnf(c_0_55,plain,
    ( ~ a_truth(one_truthteller)
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(truthteller(X2))
    | ~ people(X2,X1,X3) ),
    c_0_42,
    [final] ).

cnf(c_0_56,plain,
    ( ~ a_truth(one_truthteller)
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(truthteller(X2))
    | ~ people(X2,X3,X1) ),
    c_0_43,
    [final] ).

cnf(c_0_57,plain,
    ( ~ a_truth(one_truthteller)
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(truthteller(X2))
    | ~ people(X3,X2,X1) ),
    c_0_44,
    [final] ).

cnf(c_0_58,plain,
    ( a_truth(truthteller(X1))
    | a_truth(truthteller(X2))
    | a_truth(truthteller(X3))
    | ~ a_truth(one_truthteller)
    | ~ people(X3,X2,X1) ),
    c_0_45,
    [final] ).

cnf(c_0_59,plain,
    ( ~ a_truth(X1)
    | ~ a_truth(says(X2,X1))
    | ~ a_truth(liar(X2)) ),
    c_0_46,
    [final] ).

cnf(c_0_60,plain,
    ( a_truth(X1)
    | ~ a_truth(says(X2,X1))
    | ~ a_truth(truthteller(X2)) ),
    c_0_47,
    [final] ).

cnf(c_0_61,plain,
    ( a_truth(truthteller(X1))
    | ~ a_truth(says(X1,X2))
    | ~ a_truth(X2) ),
    c_0_48,
    [final] ).

cnf(c_0_62,plain,
    ( a_truth(liar(X1))
    | a_truth(X2)
    | ~ a_truth(says(X1,X2)) ),
    c_0_49,
    [final] ).

cnf(c_0_63,plain,
    ( ~ a_truth(liar(X1))
    | ~ a_truth(truthteller(X1)) ),
    c_0_50,
    [final] ).

cnf(c_0_64,plain,
    ( a_truth(liar(X1))
    | a_truth(truthteller(X1)) ),
    c_0_51,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_52_0,axiom,
    ( a_truth(truthteller(X1))
    | a_truth(truthteller(X2))
    | a_truth(one_truthteller)
    | ~ a_truth(truthteller(X3))
    | ~ people(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

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

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

cnf(c_0_52_3,axiom,
    ( ~ a_truth(truthteller(X3))
    | a_truth(one_truthteller)
    | a_truth(truthteller(X2))
    | a_truth(truthteller(X1))
    | ~ people(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_52_4,axiom,
    ( ~ people(X3,X2,X1)
    | ~ a_truth(truthteller(X3))
    | a_truth(one_truthteller)
    | a_truth(truthteller(X2))
    | a_truth(truthteller(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_53_0,axiom,
    ( a_truth(truthteller(X1))
    | a_truth(truthteller(X2))
    | a_truth(one_truthteller)
    | ~ a_truth(truthteller(X3))
    | ~ people(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_53_1,axiom,
    ( a_truth(truthteller(X2))
    | a_truth(truthteller(X1))
    | a_truth(one_truthteller)
    | ~ a_truth(truthteller(X3))
    | ~ people(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_53_2,axiom,
    ( a_truth(one_truthteller)
    | a_truth(truthteller(X2))
    | a_truth(truthteller(X1))
    | ~ a_truth(truthteller(X3))
    | ~ people(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_53_3,axiom,
    ( ~ a_truth(truthteller(X3))
    | a_truth(one_truthteller)
    | a_truth(truthteller(X2))
    | a_truth(truthteller(X1))
    | ~ people(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_53_4,axiom,
    ( ~ people(X2,X3,X1)
    | ~ a_truth(truthteller(X3))
    | a_truth(one_truthteller)
    | a_truth(truthteller(X2))
    | a_truth(truthteller(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_54_0,axiom,
    ( a_truth(truthteller(X1))
    | a_truth(truthteller(X2))
    | a_truth(one_truthteller)
    | ~ a_truth(truthteller(X3))
    | ~ people(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_54_1,axiom,
    ( a_truth(truthteller(X2))
    | a_truth(truthteller(X1))
    | a_truth(one_truthteller)
    | ~ a_truth(truthteller(X3))
    | ~ people(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_54_2,axiom,
    ( a_truth(one_truthteller)
    | a_truth(truthteller(X2))
    | a_truth(truthteller(X1))
    | ~ a_truth(truthteller(X3))
    | ~ people(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_54_3,axiom,
    ( ~ a_truth(truthteller(X3))
    | a_truth(one_truthteller)
    | a_truth(truthteller(X2))
    | a_truth(truthteller(X1))
    | ~ people(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_54_4,axiom,
    ( ~ people(X1,X2,X3)
    | ~ a_truth(truthteller(X3))
    | a_truth(one_truthteller)
    | a_truth(truthteller(X2))
    | a_truth(truthteller(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_55_0,axiom,
    ( ~ a_truth(one_truthteller)
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(truthteller(X2))
    | ~ people(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_55]) ).

cnf(c_0_55_1,axiom,
    ( ~ a_truth(truthteller(X1))
    | ~ a_truth(one_truthteller)
    | ~ a_truth(truthteller(X2))
    | ~ people(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_55]) ).

cnf(c_0_55_2,axiom,
    ( ~ a_truth(truthteller(X2))
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(one_truthteller)
    | ~ people(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_55]) ).

cnf(c_0_55_3,axiom,
    ( ~ people(X2,X1,X3)
    | ~ a_truth(truthteller(X2))
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(one_truthteller) ),
    inference(literals_permutation,[status(thm)],[c_0_55]) ).

cnf(c_0_56_0,axiom,
    ( ~ a_truth(one_truthteller)
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(truthteller(X2))
    | ~ people(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_56]) ).

cnf(c_0_56_1,axiom,
    ( ~ a_truth(truthteller(X1))
    | ~ a_truth(one_truthteller)
    | ~ a_truth(truthteller(X2))
    | ~ people(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_56]) ).

cnf(c_0_56_2,axiom,
    ( ~ a_truth(truthteller(X2))
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(one_truthteller)
    | ~ people(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_56]) ).

cnf(c_0_56_3,axiom,
    ( ~ people(X2,X3,X1)
    | ~ a_truth(truthteller(X2))
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(one_truthteller) ),
    inference(literals_permutation,[status(thm)],[c_0_56]) ).

cnf(c_0_57_0,axiom,
    ( ~ a_truth(one_truthteller)
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(truthteller(X2))
    | ~ people(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_57]) ).

cnf(c_0_57_1,axiom,
    ( ~ a_truth(truthteller(X1))
    | ~ a_truth(one_truthteller)
    | ~ a_truth(truthteller(X2))
    | ~ people(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_57]) ).

cnf(c_0_57_2,axiom,
    ( ~ a_truth(truthteller(X2))
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(one_truthteller)
    | ~ people(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_57]) ).

cnf(c_0_57_3,axiom,
    ( ~ people(X3,X2,X1)
    | ~ a_truth(truthteller(X2))
    | ~ a_truth(truthteller(X1))
    | ~ a_truth(one_truthteller) ),
    inference(literals_permutation,[status(thm)],[c_0_57]) ).

cnf(c_0_58_0,axiom,
    ( a_truth(truthteller(X1))
    | a_truth(truthteller(X2))
    | a_truth(truthteller(X3))
    | ~ a_truth(one_truthteller)
    | ~ people(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_58]) ).

cnf(c_0_58_1,axiom,
    ( a_truth(truthteller(X2))
    | a_truth(truthteller(X1))
    | a_truth(truthteller(X3))
    | ~ a_truth(one_truthteller)
    | ~ people(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_58]) ).

cnf(c_0_58_2,axiom,
    ( a_truth(truthteller(X3))
    | a_truth(truthteller(X2))
    | a_truth(truthteller(X1))
    | ~ a_truth(one_truthteller)
    | ~ people(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_58]) ).

cnf(c_0_58_3,axiom,
    ( ~ a_truth(one_truthteller)
    | a_truth(truthteller(X3))
    | a_truth(truthteller(X2))
    | a_truth(truthteller(X1))
    | ~ people(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_58]) ).

cnf(c_0_58_4,axiom,
    ( ~ people(X3,X2,X1)
    | ~ a_truth(one_truthteller)
    | a_truth(truthteller(X3))
    | a_truth(truthteller(X2))
    | a_truth(truthteller(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_58]) ).

cnf(c_0_59_0,axiom,
    ( ~ a_truth(X1)
    | ~ a_truth(says(X2,X1))
    | ~ a_truth(liar(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_59]) ).

cnf(c_0_59_1,axiom,
    ( ~ a_truth(says(X2,X1))
    | ~ a_truth(X1)
    | ~ a_truth(liar(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_59]) ).

cnf(c_0_59_2,axiom,
    ( ~ a_truth(liar(X2))
    | ~ a_truth(says(X2,X1))
    | ~ a_truth(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_59]) ).

cnf(c_0_60_0,axiom,
    ( a_truth(X1)
    | ~ a_truth(says(X2,X1))
    | ~ a_truth(truthteller(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_60]) ).

cnf(c_0_60_1,axiom,
    ( ~ a_truth(says(X2,X1))
    | a_truth(X1)
    | ~ a_truth(truthteller(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_60]) ).

cnf(c_0_60_2,axiom,
    ( ~ a_truth(truthteller(X2))
    | ~ a_truth(says(X2,X1))
    | a_truth(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_60]) ).

cnf(c_0_61_0,axiom,
    ( a_truth(truthteller(X1))
    | ~ a_truth(says(X1,X2))
    | ~ a_truth(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_61]) ).

cnf(c_0_61_1,axiom,
    ( ~ a_truth(says(X1,X2))
    | a_truth(truthteller(X1))
    | ~ a_truth(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_61]) ).

cnf(c_0_61_2,axiom,
    ( ~ a_truth(X2)
    | ~ a_truth(says(X1,X2))
    | a_truth(truthteller(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_61]) ).

cnf(c_0_62_0,axiom,
    ( a_truth(liar(X1))
    | a_truth(X2)
    | ~ a_truth(says(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_62]) ).

cnf(c_0_62_1,axiom,
    ( a_truth(X2)
    | a_truth(liar(X1))
    | ~ a_truth(says(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_62]) ).

cnf(c_0_62_2,axiom,
    ( ~ a_truth(says(X1,X2))
    | a_truth(X2)
    | a_truth(liar(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_62]) ).

cnf(c_0_63_0,axiom,
    ( ~ a_truth(liar(X1))
    | ~ a_truth(truthteller(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_63]) ).

cnf(c_0_63_1,axiom,
    ( ~ a_truth(truthteller(X1))
    | ~ a_truth(liar(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_63]) ).

cnf(c_0_64_0,axiom,
    ( a_truth(liar(X1))
    | a_truth(truthteller(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_64]) ).

cnf(c_0_64_1,axiom,
    ( a_truth(truthteller(X1))
    | a_truth(liar(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_64]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,hypothesis,
    a_truth(says(b,says(a,one_truthteller))),
    file('<stdin>',b_says_a_says_one_truthteller) ).

fof(c_0_1_002,hypothesis,
    people(a,b,c),
    file('<stdin>',a_b_and_c_are_people) ).

fof(c_0_2_003,hypothesis,
    a_truth(says(c,liar(b))),
    file('<stdin>',c_says_b_lies) ).

fof(c_0_3_004,hypothesis,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(truthteller(c))
    | an_answer(b_and_c_truthtellers) ),
    file('<stdin>',b_and_c_truthtellers) ).

fof(c_0_4_005,hypothesis,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(liar(c))
    | an_answer(b_truthteller_and_c_liar) ),
    file('<stdin>',b_truthteller_and_c_liar) ).

fof(c_0_5_006,hypothesis,
    ( ~ a_truth(liar(b))
    | ~ a_truth(truthteller(c))
    | an_answer(b_liar_and_c_truthteller) ),
    file('<stdin>',b_liar_and_c_truthteller) ).

fof(c_0_6_007,hypothesis,
    ( ~ a_truth(liar(b))
    | ~ a_truth(liar(c))
    | an_answer(b_and_c_liars) ),
    file('<stdin>',b_and_c_liars) ).

fof(c_0_7_008,hypothesis,
    a_truth(says(a,garbage)),
    file('<stdin>',a_says_garbage) ).

fof(c_0_8_009,negated_conjecture,
    ! [X1] : ~ an_answer(X1),
    file('<stdin>',prove_there_is_an_answer) ).

fof(c_0_9_010,hypothesis,
    a_truth(says(b,says(a,one_truthteller))),
    c_0_0 ).

fof(c_0_10_011,hypothesis,
    people(a,b,c),
    c_0_1 ).

fof(c_0_11_012,hypothesis,
    a_truth(says(c,liar(b))),
    c_0_2 ).

fof(c_0_12_013,hypothesis,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(truthteller(c))
    | an_answer(b_and_c_truthtellers) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_13_014,hypothesis,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(liar(c))
    | an_answer(b_truthteller_and_c_liar) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_14_015,hypothesis,
    ( ~ a_truth(liar(b))
    | ~ a_truth(truthteller(c))
    | an_answer(b_liar_and_c_truthteller) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_15_016,hypothesis,
    ( ~ a_truth(liar(b))
    | ~ a_truth(liar(c))
    | an_answer(b_and_c_liars) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_16_017,hypothesis,
    a_truth(says(a,garbage)),
    c_0_7 ).

fof(c_0_17_018,negated_conjecture,
    ! [X1] : ~ an_answer(X1),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_18_019,hypothesis,
    a_truth(says(b,says(a,one_truthteller))),
    c_0_9 ).

fof(c_0_19_020,hypothesis,
    people(a,b,c),
    c_0_10 ).

fof(c_0_20_021,hypothesis,
    a_truth(says(c,liar(b))),
    c_0_11 ).

fof(c_0_21_022,hypothesis,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(truthteller(c))
    | an_answer(b_and_c_truthtellers) ),
    c_0_12 ).

fof(c_0_22_023,hypothesis,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(liar(c))
    | an_answer(b_truthteller_and_c_liar) ),
    c_0_13 ).

fof(c_0_23_024,hypothesis,
    ( ~ a_truth(liar(b))
    | ~ a_truth(truthteller(c))
    | an_answer(b_liar_and_c_truthteller) ),
    c_0_14 ).

fof(c_0_24_025,hypothesis,
    ( ~ a_truth(liar(b))
    | ~ a_truth(liar(c))
    | an_answer(b_and_c_liars) ),
    c_0_15 ).

fof(c_0_25_026,hypothesis,
    a_truth(says(a,garbage)),
    c_0_16 ).

fof(c_0_26_027,negated_conjecture,
    ! [X2] : ~ an_answer(X2),
    inference(variable_rename,[status(thm)],[c_0_17]) ).

cnf(c_0_27_028,hypothesis,
    a_truth(says(b,says(a,one_truthteller))),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_28_029,hypothesis,
    people(a,b,c),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29_030,hypothesis,
    a_truth(says(c,liar(b))),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30_031,hypothesis,
    ( an_answer(b_and_c_truthtellers)
    | ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31_032,hypothesis,
    ( an_answer(b_truthteller_and_c_liar)
    | ~ a_truth(liar(c))
    | ~ a_truth(truthteller(b)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_32_033,hypothesis,
    ( an_answer(b_liar_and_c_truthteller)
    | ~ a_truth(truthteller(c))
    | ~ a_truth(liar(b)) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33_034,hypothesis,
    ( an_answer(b_and_c_liars)
    | ~ a_truth(liar(c))
    | ~ a_truth(liar(b)) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_34_035,hypothesis,
    a_truth(says(a,garbage)),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_35_036,negated_conjecture,
    ~ an_answer(X1),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_36_037,hypothesis,
    a_truth(says(b,says(a,one_truthteller))),
    c_0_27,
    [final] ).

cnf(c_0_37_038,hypothesis,
    people(a,b,c),
    c_0_28,
    [final] ).

cnf(c_0_38_039,hypothesis,
    a_truth(says(c,liar(b))),
    c_0_29,
    [final] ).

cnf(c_0_39_040,hypothesis,
    ( an_answer(b_and_c_truthtellers)
    | ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b)) ),
    c_0_30,
    [final] ).

cnf(c_0_40_041,hypothesis,
    ( an_answer(b_truthteller_and_c_liar)
    | ~ a_truth(liar(c))
    | ~ a_truth(truthteller(b)) ),
    c_0_31,
    [final] ).

cnf(c_0_41_042,hypothesis,
    ( an_answer(b_liar_and_c_truthteller)
    | ~ a_truth(truthteller(c))
    | ~ a_truth(liar(b)) ),
    c_0_32,
    [final] ).

cnf(c_0_42_043,hypothesis,
    ( an_answer(b_and_c_liars)
    | ~ a_truth(liar(c))
    | ~ a_truth(liar(b)) ),
    c_0_33,
    [final] ).

cnf(c_0_43_044,hypothesis,
    a_truth(says(a,garbage)),
    c_0_34,
    [final] ).

cnf(c_0_44_045,negated_conjecture,
    ~ an_answer(X1),
    c_0_35,
    [final] ).

% End CNF derivation

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

cnf(c_51,plain,
    ( ~ a_truth(liar(c))
    | ~ a_truth(liar(b))
    | an_answer(b_and_c_liars) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_db071c.p',c_0_42) ).

cnf(c_72,plain,
    ( ~ a_truth(liar(c))
    | ~ a_truth(liar(b))
    | an_answer(b_and_c_liars) ),
    inference(copy,[status(esa)],[c_51]) ).

cnf(c_89,plain,
    ( ~ a_truth(liar(c))
    | ~ a_truth(liar(b))
    | an_answer(b_and_c_liars) ),
    inference(copy,[status(esa)],[c_72]) ).

cnf(c_100,plain,
    ( ~ a_truth(liar(c))
    | ~ a_truth(liar(b))
    | an_answer(b_and_c_liars) ),
    inference(copy,[status(esa)],[c_89]) ).

cnf(c_107,plain,
    ( ~ a_truth(liar(c))
    | ~ a_truth(liar(b))
    | an_answer(b_and_c_liars) ),
    inference(copy,[status(esa)],[c_100]) ).

cnf(c_270,plain,
    ( ~ a_truth(liar(c))
    | ~ a_truth(liar(b))
    | an_answer(b_and_c_liars) ),
    inference(copy,[status(esa)],[c_107]) ).

cnf(c_52,negated_conjecture,
    ~ an_answer(X0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_db071c.p',c_0_44) ).

cnf(c_82,negated_conjecture,
    ~ an_answer(X0),
    inference(copy,[status(esa)],[c_52]) ).

cnf(c_90,negated_conjecture,
    ~ an_answer(X0),
    inference(copy,[status(esa)],[c_82]) ).

cnf(c_99,negated_conjecture,
    ~ an_answer(X0),
    inference(copy,[status(esa)],[c_90]) ).

cnf(c_108,negated_conjecture,
    ~ an_answer(X0),
    inference(copy,[status(esa)],[c_99]) ).

cnf(c_272,negated_conjecture,
    ~ an_answer(X0),
    inference(copy,[status(esa)],[c_108]) ).

cnf(c_340,plain,
    ( ~ a_truth(liar(c))
    | ~ a_truth(liar(b)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_270,c_272]) ).

cnf(c_341,plain,
    ( ~ a_truth(liar(c))
    | ~ a_truth(liar(b)) ),
    inference(rewriting,[status(thm)],[c_340]) ).

cnf(c_46,plain,
    ( a_truth(truthteller(X0))
    | a_truth(liar(X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_db071c.p',c_0_64_0) ).

cnf(c_260,plain,
    ( a_truth(truthteller(X0))
    | a_truth(liar(X0)) ),
    inference(copy,[status(esa)],[c_46]) ).

cnf(c_344,plain,
    ( a_truth(truthteller(b))
    | ~ a_truth(liar(c)) ),
    inference(resolution,[status(thm)],[c_341,c_260]) ).

cnf(c_347,plain,
    ( a_truth(truthteller(b))
    | ~ a_truth(liar(c)) ),
    inference(rewriting,[status(thm)],[c_344]) ).

cnf(c_49,plain,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(liar(c))
    | an_answer(b_truthteller_and_c_liar) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_db071c.p',c_0_40) ).

cnf(c_68,plain,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(liar(c))
    | an_answer(b_truthteller_and_c_liar) ),
    inference(copy,[status(esa)],[c_49]) ).

cnf(c_87,plain,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(liar(c))
    | an_answer(b_truthteller_and_c_liar) ),
    inference(copy,[status(esa)],[c_68]) ).

cnf(c_102,plain,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(liar(c))
    | an_answer(b_truthteller_and_c_liar) ),
    inference(copy,[status(esa)],[c_87]) ).

cnf(c_105,plain,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(liar(c))
    | an_answer(b_truthteller_and_c_liar) ),
    inference(copy,[status(esa)],[c_102]) ).

cnf(c_266,plain,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(liar(c))
    | an_answer(b_truthteller_and_c_liar) ),
    inference(copy,[status(esa)],[c_105]) ).

cnf(c_314,plain,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(liar(c)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_266,c_272]) ).

cnf(c_315,plain,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(liar(c)) ),
    inference(rewriting,[status(thm)],[c_314]) ).

cnf(c_318,plain,
    ( a_truth(truthteller(c))
    | ~ a_truth(truthteller(b)) ),
    inference(resolution,[status(thm)],[c_315,c_260]) ).

cnf(c_321,plain,
    ( a_truth(truthteller(c))
    | ~ a_truth(truthteller(b)) ),
    inference(rewriting,[status(thm)],[c_318]) ).

cnf(c_48,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b))
    | an_answer(b_and_c_truthtellers) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_db071c.p',c_0_39) ).

cnf(c_66,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b))
    | an_answer(b_and_c_truthtellers) ),
    inference(copy,[status(esa)],[c_48]) ).

cnf(c_86,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b))
    | an_answer(b_and_c_truthtellers) ),
    inference(copy,[status(esa)],[c_66]) ).

cnf(c_103,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b))
    | an_answer(b_and_c_truthtellers) ),
    inference(copy,[status(esa)],[c_86]) ).

cnf(c_104,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b))
    | an_answer(b_and_c_truthtellers) ),
    inference(copy,[status(esa)],[c_103]) ).

cnf(c_264,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b))
    | an_answer(b_and_c_truthtellers) ),
    inference(copy,[status(esa)],[c_104]) ).

cnf(c_285,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_264,c_272]) ).

cnf(c_286,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b)) ),
    inference(rewriting,[status(thm)],[c_285]) ).

cnf(c_364,plain,
    ~ a_truth(truthteller(b)),
    inference(forward_subsumption_resolution,[status(thm)],[c_321,c_286]) ).

cnf(c_365,plain,
    ~ a_truth(truthteller(b)),
    inference(rewriting,[status(thm)],[c_364]) ).

cnf(c_418,plain,
    ~ a_truth(liar(c)),
    inference(forward_subsumption_resolution,[status(thm)],[c_347,c_365]) ).

cnf(c_419,plain,
    ~ a_truth(liar(c)),
    inference(rewriting,[status(thm)],[c_418]) ).

cnf(c_421,plain,
    a_truth(truthteller(c)),
    inference(resolution,[status(thm)],[c_419,c_260]) ).

cnf(c_424,plain,
    a_truth(truthteller(c)),
    inference(rewriting,[status(thm)],[c_421]) ).

cnf(c_50,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(liar(b))
    | an_answer(b_liar_and_c_truthteller) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_db071c.p',c_0_41) ).

cnf(c_70,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(liar(b))
    | an_answer(b_liar_and_c_truthteller) ),
    inference(copy,[status(esa)],[c_50]) ).

cnf(c_88,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(liar(b))
    | an_answer(b_liar_and_c_truthteller) ),
    inference(copy,[status(esa)],[c_70]) ).

cnf(c_101,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(liar(b))
    | an_answer(b_liar_and_c_truthteller) ),
    inference(copy,[status(esa)],[c_88]) ).

cnf(c_106,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(liar(b))
    | an_answer(b_liar_and_c_truthteller) ),
    inference(copy,[status(esa)],[c_101]) ).

cnf(c_268,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(liar(b))
    | an_answer(b_liar_and_c_truthteller) ),
    inference(copy,[status(esa)],[c_106]) ).

cnf(c_327,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(liar(b)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_268,c_272]) ).

cnf(c_328,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(liar(b)) ),
    inference(rewriting,[status(thm)],[c_327]) ).

cnf(c_331,plain,
    ( ~ a_truth(truthteller(c))
    | a_truth(truthteller(b)) ),
    inference(resolution,[status(thm)],[c_328,c_260]) ).

cnf(c_334,plain,
    ( ~ a_truth(truthteller(c))
    | a_truth(truthteller(b)) ),
    inference(rewriting,[status(thm)],[c_331]) ).

cnf(c_391,plain,
    ~ a_truth(truthteller(c)),
    inference(forward_subsumption_resolution,[status(thm)],[c_334,c_365]) ).

cnf(c_392,plain,
    ~ a_truth(truthteller(c)),
    inference(rewriting,[status(thm)],[c_391]) ).

cnf(c_428,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_424,c_392]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PUZ023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat May 28 21:35:56 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.13/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.13/0.41  % Orientation found
% 0.13/0.41  % 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/sandbox/tmp/iprover_proof_d00f40.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_db071c.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_f2e09d | grep -v "SZS"
% 0.20/0.42  
% 0.20/0.42  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.42  
% 0.20/0.42  % 
% 0.20/0.42  % ------  iProver source info 
% 0.20/0.42  
% 0.20/0.42  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.42  % git: non_committed_changes: true
% 0.20/0.42  % git: last_make_outside_of_git: true
% 0.20/0.42  
% 0.20/0.42  % 
% 0.20/0.42  % ------ Input Options
% 0.20/0.42  
% 0.20/0.42  % --out_options                         all
% 0.20/0.42  % --tptp_safe_out                       true
% 0.20/0.42  % --problem_path                        ""
% 0.20/0.42  % --include_path                        ""
% 0.20/0.42  % --clausifier                          .//eprover
% 0.20/0.42  % --clausifier_options                  --tstp-format  
% 0.20/0.42  % --stdin                               false
% 0.20/0.42  % --dbg_backtrace                       false
% 0.20/0.42  % --dbg_dump_prop_clauses               false
% 0.20/0.42  % --dbg_dump_prop_clauses_file          -
% 0.20/0.42  % --dbg_out_stat                        false
% 0.20/0.42  
% 0.20/0.42  % ------ General Options
% 0.20/0.42  
% 0.20/0.42  % --fof                                 false
% 0.20/0.42  % --time_out_real                       150.
% 0.20/0.42  % --time_out_prep_mult                  0.2
% 0.20/0.42  % --time_out_virtual                    -1.
% 0.20/0.42  % --schedule                            none
% 0.20/0.42  % --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/sandbox/tmp/iprover_proof_d00f40.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:1:0s 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
% 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/sandbox/tmp/iprover_proof_d00f40.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  
% 0.20/0.43  
% 0.20/0.43  % ------ Proving...
% 0.20/0.43  % 
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  %  Resolution empty clause
% 0.20/0.43  
% 0.20/0.43  % ------                             Statistics
% 0.20/0.43  
% 0.20/0.43  % ------ General
% 0.20/0.43  
% 0.20/0.43  % num_of_input_clauses:                 57
% 0.20/0.43  % num_of_input_neg_conjectures:         1
% 0.20/0.43  % num_of_splits:                        0
% 0.20/0.43  % num_of_split_atoms:                   0
% 0.20/0.43  % num_of_sem_filtered_clauses:          0
% 0.20/0.43  % num_of_subtypes:                      0
% 0.20/0.43  % monotx_restored_types:                0
% 0.20/0.43  % sat_num_of_epr_types:                 0
% 0.20/0.43  % sat_num_of_non_cyclic_types:          0
% 0.20/0.43  % sat_guarded_non_collapsed_types:      0
% 0.20/0.43  % is_epr:                               0
% 0.20/0.43  % is_horn:                              0
% 0.20/0.43  % has_eq:                               0
% 0.20/0.43  % num_pure_diseq_elim:                  0
% 0.20/0.43  % simp_replaced_by:                     0
% 0.20/0.43  % res_preprocessed:                     10
% 0.20/0.43  % prep_upred:                           0
% 0.20/0.43  % prep_unflattend:                      0
% 0.20/0.43  % pred_elim_cands:                      2
% 0.20/0.43  % pred_elim:                            1
% 0.20/0.43  % pred_elim_cl:                         1
% 0.20/0.43  % pred_elim_cycles:                     2
% 0.20/0.43  % forced_gc_time:                       0
% 0.20/0.43  % gc_basic_clause_elim:                 0
% 0.20/0.43  % parsing_time:                         0.001
% 0.20/0.43  % sem_filter_time:                      0.
% 0.20/0.43  % pred_elim_time:                       0.
% 0.20/0.43  % out_proof_time:                       0.001
% 0.20/0.43  % monotx_time:                          0.
% 0.20/0.43  % subtype_inf_time:                     0.
% 0.20/0.43  % unif_index_cands_time:                0.
% 0.20/0.43  % unif_index_add_time:                  0.
% 0.20/0.43  % total_time:                           0.02
% 0.20/0.43  % num_of_symbols:                       40
% 0.20/0.43  % num_of_terms:                         160
% 0.20/0.43  
% 0.20/0.43  % ------ Propositional Solver
% 0.20/0.43  
% 0.20/0.43  % prop_solver_calls:                    1
% 0.20/0.43  % prop_fast_solver_calls:               35
% 0.20/0.43  % prop_num_of_clauses:                  40
% 0.20/0.43  % prop_preprocess_simplified:           227
% 0.20/0.43  % prop_fo_subsumed:                     0
% 0.20/0.43  % prop_solver_time:                     0.
% 0.20/0.43  % prop_fast_solver_time:                0.
% 0.20/0.43  % prop_unsat_core_time:                 0.
% 0.20/0.43  
% 0.20/0.43  % ------ QBF 
% 0.20/0.43  
% 0.20/0.43  % qbf_q_res:                            0
% 0.20/0.43  % qbf_num_tautologies:                  0
% 0.20/0.43  % qbf_prep_cycles:                      0
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1
% 0.20/0.43  
% 0.20/0.43  % bmc1_current_bound:                   -1
% 0.20/0.43  % bmc1_last_solved_bound:               -1
% 0.20/0.43  % bmc1_unsat_core_size:                 -1
% 0.20/0.43  % bmc1_unsat_core_parents_size:         -1
% 0.20/0.43  % bmc1_merge_next_fun:                  0
% 0.20/0.43  % bmc1_unsat_core_clauses_time:         0.
% 0.20/0.43  
% 0.20/0.43  % ------ Instantiation
% 0.20/0.43  
% 0.20/0.43  % inst_num_of_clauses:                  56
% 0.20/0.43  % inst_num_in_passive:                  0
% 0.20/0.43  % inst_num_in_active:                   0
% 0.20/0.43  % inst_num_in_unprocessed:              56
% 0.20/0.43  % inst_num_of_loops:                    0
% 0.20/0.43  % inst_num_of_learning_restarts:        0
% 0.20/0.43  % inst_num_moves_active_passive:        0
% 0.20/0.43  % inst_lit_activity:                    0
% 0.20/0.43  % inst_lit_activity_moves:              0
% 0.20/0.43  % inst_num_tautologies:                 0
% 0.20/0.43  % inst_num_prop_implied:                0
% 0.20/0.43  % inst_num_existing_simplified:         0
% 0.20/0.43  % inst_num_eq_res_simplified:           0
% 0.20/0.43  % inst_num_child_elim:                  0
% 0.20/0.43  % inst_num_of_dismatching_blockings:    0
% 0.20/0.43  % inst_num_of_non_proper_insts:         0
% 0.20/0.43  % inst_num_of_duplicates:               0
% 0.20/0.43  % inst_inst_num_from_inst_to_res:       0
% 0.20/0.43  % inst_dismatching_checking_time:       0.
% 0.20/0.43  
% 0.20/0.43  % ------ Resolution
% 0.20/0.43  
% 0.20/0.43  % res_num_of_clauses:                   95
% 0.20/0.43  % res_num_in_passive:                   32
% 0.20/0.43  % res_num_in_active:                    31
% 0.20/0.43  % res_num_of_loops:                     12
% 0.20/0.43  % res_forward_subset_subsumed:          36
% 0.20/0.43  % res_backward_subset_subsumed:         14
% 0.20/0.43  % res_forward_subsumed:                 0
% 0.20/0.43  % res_backward_subsumed:                1
% 0.20/0.43  % res_forward_subsumption_resolution:   8
% 0.20/0.43  % res_backward_subsumption_resolution:  0
% 0.20/0.43  % res_clause_to_clause_subsumption:     14
% 0.20/0.43  % res_orphan_elimination:               0
% 0.20/0.43  % res_tautology_del:                    0
% 0.20/0.43  % res_num_eq_res_simplified:            0
% 0.20/0.43  % res_num_sel_changes:                  0
% 0.20/0.43  % res_moves_from_active_to_pass:        0
% 0.20/0.43  
% 0.20/0.44  % Status Unsatisfiable
% 0.20/0.44  % SZS status Unsatisfiable
% 0.20/0.44  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------