TSTP Solution File: SET879+1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SET879+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n011.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 : Tue Jul 19 02:18:16 EDT 2022

% Result   : Theorem 5.98s 6.15s
% Output   : CNFRefutation 5.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   80 (  13 unt;   0 def)
%            Number of atoms       :  192 ( 110 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  215 ( 103   ~;  97   |;   5   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :  131 (   0 sgn  30   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
    ! [X1,X2] :
      ( X2 = singleton(X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> X3 = X1 ) ),
    file('<stdin>',d1_tarski) ).

fof(c_0_1,axiom,
    ! [X1,X2] :
      ( set_difference(singleton(X1),X2) = singleton(X1)
    <=> ~ in(X1,X2) ),
    file('<stdin>',l34_zfmisc_1) ).

fof(c_0_2,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    file('<stdin>',antisymmetry_r2_hidden) ).

fof(c_0_3,axiom,
    ? [X1] : ~ empty(X1),
    file('<stdin>',rc2_xboole_0) ).

fof(c_0_4,axiom,
    ? [X1] : empty(X1),
    file('<stdin>',rc1_xboole_0) ).

fof(c_0_5,axiom,
    ! [X1,X2] :
      ( X2 = singleton(X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> X3 = X1 ) ),
    c_0_0 ).

fof(c_0_6,plain,
    ! [X1,X2] :
      ( set_difference(singleton(X1),X2) = singleton(X1)
    <=> ~ in(X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_7,plain,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_8,plain,
    ? [X1] : ~ empty(X1),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_9,axiom,
    ? [X1] : empty(X1),
    c_0_4 ).

fof(c_0_10,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( ~ in(X6,X5)
        | X6 = X4
        | X5 != singleton(X4) )
      & ( X7 != X4
        | in(X7,X5)
        | X5 != singleton(X4) )
      & ( ~ in(esk1_2(X8,X9),X9)
        | esk1_2(X8,X9) != X8
        | X9 = singleton(X8) )
      & ( in(esk1_2(X8,X9),X9)
        | esk1_2(X8,X9) = X8
        | X9 = singleton(X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).

fof(c_0_11,plain,
    ! [X3,X4,X5,X6] :
      ( ( set_difference(singleton(X3),X4) != singleton(X3)
        | ~ in(X3,X4) )
      & ( in(X5,X6)
        | set_difference(singleton(X5),X6) = singleton(X5) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).

fof(c_0_12,plain,
    ! [X3,X4] :
      ( ~ in(X3,X4)
      | ~ in(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).

fof(c_0_13,plain,
    ~ empty(esk3_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_8])]) ).

fof(c_0_14,plain,
    empty(esk2_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).

cnf(c_0_15,plain,
    ( X1 = singleton(X2)
    | esk1_2(X2,X1) != X2
    | ~ in(esk1_2(X2,X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    ( ~ in(X1,X2)
    | set_difference(singleton(X1),X2) != singleton(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    ( X1 = singleton(X2)
    | esk1_2(X2,X1) = X2
    | in(esk1_2(X2,X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ( set_difference(singleton(X1),X2) = singleton(X1)
    | in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,plain,
    ( X3 = X2
    | X1 != singleton(X2)
    | ~ in(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_21,plain,
    ( in(X3,X1)
    | X1 != singleton(X2)
    | X3 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_22,plain,
    ~ empty(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,plain,
    empty(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24,plain,
    ( X1 = singleton(X2)
    | esk1_2(X2,X1) != X2
    | ~ in(esk1_2(X2,X1),X1) ),
    c_0_15,
    [final] ).

cnf(c_0_25,plain,
    ( ~ in(X1,X2)
    | set_difference(singleton(X1),X2) != singleton(X1) ),
    c_0_16,
    [final] ).

cnf(c_0_26,plain,
    ( X1 = singleton(X2)
    | esk1_2(X2,X1) = X2
    | in(esk1_2(X2,X1),X1) ),
    c_0_17,
    [final] ).

cnf(c_0_27,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    c_0_18,
    [final] ).

cnf(c_0_28,plain,
    ( set_difference(singleton(X1),X2) = singleton(X1)
    | in(X1,X2) ),
    c_0_19,
    [final] ).

cnf(c_0_29,plain,
    ( X3 = X2
    | X1 != singleton(X2)
    | ~ in(X3,X1) ),
    c_0_20,
    [final] ).

cnf(c_0_30,plain,
    ( in(X3,X1)
    | X1 != singleton(X2)
    | X3 != X2 ),
    c_0_21,
    [final] ).

cnf(c_0_31,plain,
    ~ empty(esk3_0),
    c_0_22,
    [final] ).

cnf(c_0_32,plain,
    empty(esk2_0),
    c_0_23,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_24_0,axiom,
    ( X1 = singleton(X2)
    | sk1_esk1_2(X2,X1) != X2
    | ~ in(sk1_esk1_2(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_24]) ).

cnf(c_0_24_1,axiom,
    ( sk1_esk1_2(X2,X1) != X2
    | X1 = singleton(X2)
    | ~ in(sk1_esk1_2(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_24]) ).

cnf(c_0_24_2,axiom,
    ( ~ in(sk1_esk1_2(X2,X1),X1)
    | sk1_esk1_2(X2,X1) != X2
    | X1 = singleton(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_24]) ).

cnf(c_0_25_0,axiom,
    ( ~ in(X1,X2)
    | set_difference(singleton(X1),X2) != singleton(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_25]) ).

cnf(c_0_25_1,axiom,
    ( set_difference(singleton(X1),X2) != singleton(X1)
    | ~ in(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_25]) ).

cnf(c_0_26_0,axiom,
    ( X1 = singleton(X2)
    | sk1_esk1_2(X2,X1) = X2
    | in(sk1_esk1_2(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_26]) ).

cnf(c_0_26_1,axiom,
    ( sk1_esk1_2(X2,X1) = X2
    | X1 = singleton(X2)
    | in(sk1_esk1_2(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_26]) ).

cnf(c_0_26_2,axiom,
    ( in(sk1_esk1_2(X2,X1),X1)
    | sk1_esk1_2(X2,X1) = X2
    | X1 = singleton(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_26]) ).

cnf(c_0_27_0,axiom,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_27]) ).

cnf(c_0_27_1,axiom,
    ( ~ in(X2,X1)
    | ~ in(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_27]) ).

cnf(c_0_28_0,axiom,
    ( set_difference(singleton(X1),X2) = singleton(X1)
    | in(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_28]) ).

cnf(c_0_28_1,axiom,
    ( in(X1,X2)
    | set_difference(singleton(X1),X2) = singleton(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_28]) ).

cnf(c_0_29_0,axiom,
    ( X3 = X2
    | X1 != singleton(X2)
    | ~ in(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_29]) ).

cnf(c_0_29_1,axiom,
    ( X1 != singleton(X2)
    | X3 = X2
    | ~ in(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_29]) ).

cnf(c_0_29_2,axiom,
    ( ~ in(X3,X1)
    | X1 != singleton(X2)
    | X3 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_29]) ).

cnf(c_0_30_0,axiom,
    ( in(X3,X1)
    | X1 != singleton(X2)
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_30]) ).

cnf(c_0_30_1,axiom,
    ( X1 != singleton(X2)
    | in(X3,X1)
    | X3 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_30]) ).

cnf(c_0_30_2,axiom,
    ( X3 != X2
    | X1 != singleton(X2)
    | in(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_30]) ).

cnf(c_0_31_0,axiom,
    ~ empty(sk1_esk3_0),
    inference(literals_permutation,[status(thm)],[c_0_31]) ).

cnf(c_0_32_0,axiom,
    empty(sk1_esk2_0),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1,X2] :
      ( set_difference(singleton(X1),singleton(X2)) = singleton(X1)
    <=> X1 != X2 ),
    file('<stdin>',t20_zfmisc_1) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1,X2] :
        ( set_difference(singleton(X1),singleton(X2)) = singleton(X1)
      <=> X1 != X2 ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_003,negated_conjecture,
    ( ( set_difference(singleton(esk1_0),singleton(esk2_0)) != singleton(esk1_0)
      | esk1_0 = esk2_0 )
    & ( set_difference(singleton(esk1_0),singleton(esk2_0)) = singleton(esk1_0)
      | esk1_0 != esk2_0 ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

cnf(c_0_3_004,negated_conjecture,
    ( esk1_0 = esk2_0
    | set_difference(singleton(esk1_0),singleton(esk2_0)) != singleton(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    ( set_difference(singleton(esk1_0),singleton(esk2_0)) = singleton(esk1_0)
    | esk1_0 != esk2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_006,negated_conjecture,
    ( esk1_0 = esk2_0
    | set_difference(singleton(esk1_0),singleton(esk2_0)) != singleton(esk1_0) ),
    c_0_3,
    [final] ).

cnf(c_0_6_007,negated_conjecture,
    ( set_difference(singleton(esk1_0),singleton(esk2_0)) = singleton(esk1_0)
    | esk1_0 != esk2_0 ),
    c_0_4,
    [final] ).

% End CNF derivation

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

cnf(c_4,plain,
    ( X0 != X1
    | X2 != singleton(X1)
    | in(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p',c_0_30_0) ).

cnf(c_46,plain,
    ( X0 != X1
    | X2 != singleton(X1)
    | in(X0,X2) ),
    inference(copy,[status(esa)],[c_4]) ).

cnf(c_28458,plain,
    ( in(sk2_esk1_0,X0)
    | sk2_esk1_0 != sk2_esk2_0
    | X0 != singleton(sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_46]) ).

cnf(c_28958,plain,
    ( in(sk2_esk1_0,singleton(X0))
    | singleton(X0) != singleton(sk2_esk2_0)
    | sk2_esk1_0 != sk2_esk2_0 ),
    inference(instantiation,[status(thm)],[c_28458]) ).

cnf(c_29753,plain,
    ( in(sk2_esk1_0,singleton(sk2_esk2_0))
    | singleton(sk2_esk2_0) != singleton(sk2_esk2_0)
    | sk2_esk1_0 != sk2_esk2_0 ),
    inference(instantiation,[status(thm)],[c_28958]) ).

cnf(c_66502,plain,
    ( in(sk2_esk1_0,singleton(sk2_esk2_0))
    | sk2_esk1_0 != sk2_esk2_0 ),
    inference(equality_resolution_simp,[status(esa)],[c_29753]) ).

cnf(c_5,plain,
    ( X0 = X1
    | X2 != singleton(X1)
    | ~ in(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p',c_0_29_2) ).

cnf(c_47,plain,
    ( X0 = X1
    | X2 != singleton(X1)
    | ~ in(X0,X2) ),
    inference(copy,[status(esa)],[c_5]) ).

cnf(c_28375,plain,
    ( ~ in(sk2_esk1_0,singleton(sk2_esk2_0))
    | singleton(sk2_esk2_0) != singleton(X0)
    | sk2_esk1_0 = X0 ),
    inference(instantiation,[status(thm)],[c_47]) ).

cnf(c_29204,plain,
    ( ~ in(sk2_esk1_0,singleton(sk2_esk2_0))
    | singleton(sk2_esk2_0) != singleton(sk2_esk2_0)
    | sk2_esk1_0 = sk2_esk2_0 ),
    inference(instantiation,[status(thm)],[c_28375]) ).

cnf(c_29849,plain,
    ( ~ in(sk2_esk1_0,singleton(sk2_esk2_0))
    | sk2_esk1_0 = sk2_esk2_0 ),
    inference(equality_resolution_simp,[status(esa)],[c_29204]) ).

cnf(c_16,plain,
    ( set_difference(singleton(X0),X1) != singleton(X0)
    | ~ in(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p',c_0_25_0) ).

cnf(c_58,plain,
    ( set_difference(singleton(X0),X1) != singleton(X0)
    | ~ in(X0,X1) ),
    inference(copy,[status(esa)],[c_16]) ).

cnf(c_28380,plain,
    ( ~ in(sk2_esk1_0,singleton(sk2_esk2_0))
    | set_difference(singleton(sk2_esk1_0),singleton(sk2_esk2_0)) != singleton(sk2_esk1_0) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_8,plain,
    ( set_difference(singleton(X0),X1) = singleton(X0)
    | in(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p',c_0_28_1) ).

cnf(c_50,plain,
    ( set_difference(singleton(X0),X1) = singleton(X0)
    | in(X0,X1) ),
    inference(copy,[status(esa)],[c_8]) ).

cnf(c_28354,plain,
    ( in(sk2_esk1_0,singleton(sk2_esk2_0))
    | set_difference(singleton(sk2_esk1_0),singleton(sk2_esk2_0)) = singleton(sk2_esk1_0) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_20,negated_conjecture,
    ( set_difference(singleton(sk2_esk1_0),singleton(sk2_esk2_0)) != singleton(sk2_esk1_0)
    | sk2_esk1_0 = sk2_esk2_0 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p',c_0_5) ).

cnf(c_21,negated_conjecture,
    ( set_difference(singleton(sk2_esk1_0),singleton(sk2_esk2_0)) = singleton(sk2_esk1_0)
    | sk2_esk1_0 != sk2_esk2_0 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p',c_0_6) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_66502,c_29849,c_28380,c_28354,c_20,c_21]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET879+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n011.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 : Sun Jul 10 17:24:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.20/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.40  % FOF problem with conjecture
% 0.20/0.40  % 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/sandbox/tmp/iprover_proof_e11143.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_c4e1c6 | 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/sandbox/tmp/iprover_proof_e11143.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                          true
% 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_e11143.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  % warning:  shown sat in sat incomplete mode 
% 0.20/0.43  % 
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  cnf(c_9,negated_conjecture,
% 0.20/0.43      ( set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) != singleton(sk3_esk1_0)
% 0.20/0.43      | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p', c_0_5) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_18,negated_conjecture,
% 0.20/0.43      ( set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) != singleton(sk3_esk1_0)
% 0.20/0.43      | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(copy,[status(esa)],[c_9]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_26,negated_conjecture,
% 0.20/0.43      ( set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) != singleton(sk3_esk1_0)
% 0.20/0.43      | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(copy,[status(esa)],[c_18]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_29,negated_conjecture,
% 0.20/0.43      ( set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) != singleton(sk3_esk1_0)
% 0.20/0.43      | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(copy,[status(esa)],[c_26]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_30,negated_conjecture,
% 0.20/0.43      ( set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) != singleton(sk3_esk1_0)
% 0.20/0.43      | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(copy,[status(esa)],[c_29]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_61,negated_conjecture,
% 0.20/0.43      ( set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) != singleton(sk3_esk1_0)
% 0.20/0.43      | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(copy,[status(esa)],[c_30]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_7,plain,
% 0.20/0.43      ( in(sk1_esk1_2(X0,X1),X0)
% 0.20/0.43      | sk1_esk1_2(X0,X1) = X1
% 0.20/0.43      | X0 = singleton(X1) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p', c_0_23_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_57,plain,
% 0.20/0.43      ( in(sk1_esk1_2(X0,X1),X0)
% 0.20/0.43      | sk1_esk1_2(X0,X1) = X1
% 0.20/0.43      | X0 = singleton(X1) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_7]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_72,plain,
% 0.20/0.43      ( in(sk1_esk1_2(set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),sk3_esk1_0),set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)))
% 0.20/0.43      | sk1_esk1_2(set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),sk3_esk1_0) = sk3_esk1_0
% 0.20/0.43      | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(resolution,[status(thm)],[c_61,c_57]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_73,plain,
% 0.20/0.43      ( in(sk1_esk1_2(set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),sk3_esk1_0),set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)))
% 0.20/0.43      | sk1_esk1_2(set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),sk3_esk1_0) = sk3_esk1_0
% 0.20/0.43      | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_72]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_4,plain,
% 0.20/0.43      ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p', c_0_26_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_51,plain,
% 0.20/0.43      ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_4]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_111,plain,
% 0.20/0.43      ( ~ in(set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),sk1_esk1_2(set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),sk3_esk1_0))
% 0.20/0.43      | sk1_esk1_2(set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),sk3_esk1_0) = sk3_esk1_0
% 0.20/0.43      | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(resolution,[status(thm)],[c_73,c_51]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_112,plain,
% 0.20/0.43      ( ~ in(set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),sk1_esk1_2(set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),sk3_esk1_0))
% 0.20/0.43      | sk1_esk1_2(set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),sk3_esk1_0) = sk3_esk1_0
% 0.20/0.43      | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_111]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_2,plain,
% 0.20/0.43      ( in(X0,X1) | set_difference(singleton(X0),X1) = singleton(X0) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p', c_0_28_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_47,plain,
% 0.20/0.43      ( in(X0,X1) | set_difference(singleton(X0),X1) = singleton(X0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_2]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_69,plain,
% 0.20/0.43      ( in(sk3_esk1_0,singleton(sk3_esk2_0)) | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(resolution,[status(thm)],[c_61,c_47]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_70,plain,
% 0.20/0.43      ( in(sk3_esk1_0,singleton(sk3_esk2_0)) | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_69]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_91,plain,
% 0.20/0.43      ( ~ in(singleton(sk3_esk2_0),sk3_esk1_0) | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(resolution,[status(thm)],[c_70,c_51]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_92,plain,
% 0.20/0.43      ( ~ in(singleton(sk3_esk2_0),sk3_esk1_0) | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_91]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_10,negated_conjecture,
% 0.20/0.43      ( set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) = singleton(sk3_esk1_0)
% 0.20/0.43      | sk3_esk1_0 != sk3_esk2_0 ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p', c_0_6) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_20,negated_conjecture,
% 0.20/0.43      ( set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) = singleton(sk3_esk1_0)
% 0.20/0.43      | sk3_esk1_0 != sk3_esk2_0 ),
% 0.20/0.43      inference(copy,[status(esa)],[c_10]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_27,negated_conjecture,
% 0.20/0.43      ( set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) = singleton(sk3_esk1_0)
% 0.20/0.43      | sk3_esk1_0 != sk3_esk2_0 ),
% 0.20/0.43      inference(copy,[status(esa)],[c_20]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_28,negated_conjecture,
% 0.20/0.43      ( set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) = singleton(sk3_esk1_0)
% 0.20/0.43      | sk3_esk1_0 != sk3_esk2_0 ),
% 0.20/0.43      inference(copy,[status(esa)],[c_27]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_31,negated_conjecture,
% 0.20/0.43      ( set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) = singleton(sk3_esk1_0)
% 0.20/0.43      | sk3_esk1_0 != sk3_esk2_0 ),
% 0.20/0.43      inference(copy,[status(esa)],[c_28]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_63,negated_conjecture,
% 0.20/0.43      ( set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)) = singleton(sk3_esk1_0)
% 0.20/0.43      | sk3_esk1_0 != sk3_esk2_0 ),
% 0.20/0.43      inference(copy,[status(esa)],[c_31]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_6,plain,
% 0.20/0.43      ( ~ in(X0,X1) | X0 = X2 | X1 != singleton(X2) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p', c_0_24_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_55,plain,
% 0.20/0.43      ( ~ in(X0,X1) | X0 = X2 | X1 != singleton(X2) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_6]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_56,plain,
% 0.20/0.43      ( ~ in(X0,X1) | X1 != singleton(X2) | X0 = X2 ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_55]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_83,plain,
% 0.20/0.43      ( ~ in(X0,set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)))
% 0.20/0.43      | sk3_esk1_0 != sk3_esk2_0
% 0.20/0.43      | X0 = sk3_esk1_0 ),
% 0.20/0.43      inference(resolution,[status(thm)],[c_63,c_56]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_84,plain,
% 0.20/0.43      ( ~ in(X0,set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)))
% 0.20/0.43      | sk3_esk1_0 != sk3_esk2_0
% 0.20/0.43      | X0 = sk3_esk1_0 ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_83]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_5,plain,
% 0.20/0.43      ( ~ in(X0,X1) | set_difference(singleton(X0),X1) != singleton(X0) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p', c_0_25_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_53,plain,
% 0.20/0.43      ( ~ in(X0,X1) | set_difference(singleton(X0),X1) != singleton(X0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_5]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_81,plain,
% 0.20/0.43      ( ~ in(sk3_esk1_0,singleton(sk3_esk2_0)) | sk3_esk1_0 != sk3_esk2_0 ),
% 0.20/0.43      inference(resolution,[status(thm)],[c_63,c_53]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_82,plain,
% 0.20/0.43      ( ~ in(sk3_esk1_0,singleton(sk3_esk2_0)) | sk3_esk1_0 != sk3_esk2_0 ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_81]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_8,plain,
% 0.20/0.43      ( ~ in(sk1_esk1_2(X0,X1),X0)
% 0.20/0.43      | sk1_esk1_2(X0,X1) != X1
% 0.20/0.43      | X0 = singleton(X1) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p', c_0_22_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_59,plain,
% 0.20/0.43      ( ~ in(sk1_esk1_2(X0,X1),X0)
% 0.20/0.43      | sk1_esk1_2(X0,X1) != X1
% 0.20/0.43      | X0 = singleton(X1) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_8]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_71,plain,
% 0.20/0.43      ( ~ in(sk1_esk1_2(set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),sk3_esk1_0),set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)))
% 0.20/0.43      | sk1_esk1_2(set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),sk3_esk1_0) != sk3_esk1_0
% 0.20/0.43      | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(resolution,[status(thm)],[c_61,c_59]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_74,plain,
% 0.20/0.43      ( ~ in(sk1_esk1_2(set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),sk3_esk1_0),set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)))
% 0.20/0.43      | sk1_esk1_2(set_difference(singleton(sk3_esk1_0),singleton(sk3_esk2_0)),sk3_esk1_0) != sk3_esk1_0
% 0.20/0.43      | sk3_esk1_0 = sk3_esk2_0 ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_71]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_3,plain,
% 0.20/0.43      ( X0 != X1 | in(X0,X2) | X2 != singleton(X1) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p', c_0_27_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_49,plain,
% 0.20/0.43      ( X0 != X1 | in(X0,X2) | X2 != singleton(X1) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_3]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_50,plain,
% 0.20/0.43      ( in(X0,X1) | X1 != singleton(X2) | X0 != X2 ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_49]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_1,plain,
% 0.20/0.43      ( empty(sk2_esk2_0) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p', c_0_9_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_45,plain,( empty(sk2_esk2_0) ),inference(copy,[status(esa)],[c_1]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_0,plain,
% 0.20/0.43      ( ~ empty(sk2_esk1_0) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p', c_0_8_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_43,plain,( ~ empty(sk2_esk1_0) ),inference(copy,[status(esa)],[c_0]) ).
% 0.20/0.43  
% 0.20/0.43  
% 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:                 11
% 0.20/0.43  % num_of_input_neg_conjectures:         2
% 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:                               1
% 0.20/0.43  % num_pure_diseq_elim:                  0
% 0.20/0.43  % simp_replaced_by:                     0
% 0.20/0.43  % res_preprocessed:                     4
% 0.20/0.43  % prep_upred:                           0
% 0.20/0.43  % prep_unflattend:                      0
% 0.20/0.43  % pred_elim_cands:                      0
% 0.20/0.43  % pred_elim:                            0
% 0.20/0.43  % pred_elim_cl:                         0
% 0.20/0.43  % pred_elim_cycles:                     0
% 0.20/0.43  % forced_gc_time:                       0
% 0.20/0.43  % gc_basic_clause_elim:                 0
% 0.20/0.43  % parsing_time:                         0.
% 0.20/0.43  % sem_filter_time:                      0.
% 0.20/0.43  % pred_elim_time:                       0.
% 0.20/0.43  % out_proof_time:                       0.
% 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:                           0.025
% 0.20/0.43  % num_of_symbols:                       34
% 0.20/0.43  % num_of_terms:                         90
% 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:               12
% 0.20/0.43  % prop_num_of_clauses:                  18
% 0.20/0.43  % prop_preprocess_simplified:           34
% 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:                  11
% 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:              11
% 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:                   20
% 0.20/0.43  % res_num_in_passive:                   0
% 0.20/0.43  % res_num_in_active:                    18
% 0.20/0.44  % res_num_of_loops:                     11
% 0.20/0.44  % res_forward_subset_subsumed:          0
% 0.20/0.44  % res_backward_subset_subsumed:         0
% 0.20/0.44  % res_forward_subsumed:                 1
% 0.20/0.44  % res_backward_subsumed:                0
% 0.20/0.44  % res_forward_subsumption_resolution:   0
% 0.20/0.44  % res_backward_subsumption_resolution:  0
% 0.20/0.44  % res_clause_to_clause_subsumption:     10
% 0.20/0.44  % res_orphan_elimination:               0
% 0.20/0.44  % res_tautology_del:                    4
% 0.20/0.44  % res_num_eq_res_simplified:            0
% 0.20/0.44  % res_num_sel_changes:                  0
% 0.20/0.44  % res_moves_from_active_to_pass:        0
% 0.20/0.44  
% 0.20/0.44  % Status Unknown
% 0.20/0.47  % Orienting using strategy ClausalAll
% 0.20/0.47  % FOF problem with conjecture
% 0.20/0.47  % 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_e11143.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_b8ac99.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_4e4451 | grep -v "SZS"
% 0.20/0.50  
% 0.20/0.50  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.50  
% 0.20/0.50  % 
% 0.20/0.50  % ------  iProver source info 
% 0.20/0.50  
% 0.20/0.50  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.50  % git: non_committed_changes: true
% 0.20/0.50  % git: last_make_outside_of_git: true
% 0.20/0.50  
% 0.20/0.50  % 
% 0.20/0.50  % ------ Input Options
% 0.20/0.50  
% 0.20/0.50  % --out_options                         all
% 0.20/0.50  % --tptp_safe_out                       true
% 0.20/0.50  % --problem_path                        ""
% 0.20/0.50  % --include_path                        ""
% 0.20/0.50  % --clausifier                          .//eprover
% 0.20/0.50  % --clausifier_options                  --tstp-format  
% 0.20/0.50  % --stdin                               false
% 0.20/0.50  % --dbg_backtrace                       false
% 0.20/0.50  % --dbg_dump_prop_clauses               false
% 0.20/0.50  % --dbg_dump_prop_clauses_file          -
% 0.20/0.50  % --dbg_out_stat                        false
% 0.20/0.50  
% 0.20/0.50  % ------ General Options
% 0.20/0.50  
% 0.20/0.50  % --fof                                 false
% 0.20/0.50  % --time_out_real                       150.
% 0.20/0.50  % --time_out_prep_mult                  0.2
% 0.20/0.50  % --time_out_virtual                    -1.
% 0.20/0.50  % --schedule                            none
% 0.20/0.50  % --ground_splitting                    input
% 0.20/0.50  % --splitting_nvd                       16
% 0.20/0.50  % --non_eq_to_eq                        false
% 0.20/0.50  % --prep_gs_sim                         true
% 0.20/0.50  % --prep_unflatten                      false
% 0.20/0.50  % --prep_res_sim                        true
% 0.20/0.50  % --prep_upred                          true
% 0.20/0.50  % --res_sim_input                       true
% 0.20/0.50  % --clause_weak_htbl                    true
% 0.20/0.50  % --gc_record_bc_elim                   false
% 0.20/0.50  % --symbol_type_check                   false
% 0.20/0.50  % --clausify_out                        false
% 0.20/0.50  % --large_theory_mode                   false
% 0.20/0.50  % --prep_sem_filter                     none
% 0.20/0.50  % --prep_sem_filter_out                 false
% 0.20/0.50  % --preprocessed_out                    false
% 0.20/0.50  % --sub_typing                          false
% 0.20/0.50  % --brand_transform                     false
% 0.20/0.50  % --pure_diseq_elim                     true
% 0.20/0.50  % --min_unsat_core                      false
% 0.20/0.50  % --pred_elim                           true
% 0.20/0.50  % --add_important_lit                   false
% 0.20/0.50  % --soft_assumptions                    false
% 0.20/0.50  % --reset_solvers                       false
% 0.20/0.50  % --bc_imp_inh                          []
% 0.20/0.50  % --conj_cone_tolerance                 1.5
% 0.20/0.50  % --prolific_symb_bound                 500
% 0.20/0.50  % --lt_threshold                        2000
% 0.20/0.50  
% 0.20/0.50  % ------ SAT Options
% 0.20/0.50  
% 0.20/0.50  % --sat_mode                            false
% 0.20/0.50  % --sat_fm_restart_options              ""
% 0.20/0.50  % --sat_gr_def                          false
% 0.20/0.50  % --sat_epr_types                       true
% 0.20/0.50  % --sat_non_cyclic_types                false
% 0.20/0.50  % --sat_finite_models                   false
% 0.20/0.50  % --sat_fm_lemmas                       false
% 0.20/0.50  % --sat_fm_prep                         false
% 0.20/0.50  % --sat_fm_uc_incr                      true
% 0.20/0.50  % --sat_out_model                       small
% 0.20/0.50  % --sat_out_clauses                     false
% 0.20/0.50  
% 0.20/0.50  % ------ QBF Options
% 0.20/0.50  
% 0.20/0.50  % --qbf_mode                            false
% 0.20/0.50  % --qbf_elim_univ                       true
% 0.20/0.50  % --qbf_sk_in                           true
% 0.20/0.50  % --qbf_pred_elim                       true
% 0.20/0.50  % --qbf_split                           32
% 0.20/0.50  
% 0.20/0.50  % ------ BMC1 Options
% 0.20/0.50  
% 0.20/0.50  % --bmc1_incremental                    false
% 0.20/0.50  % --bmc1_axioms                         reachable_all
% 0.20/0.50  % --bmc1_min_bound                      0
% 0.20/0.50  % --bmc1_max_bound                      -1
% 0.20/0.50  % --bmc1_max_bound_default              -1
% 0.20/0.50  % --bmc1_symbol_reachability            true
% 0.20/0.50  % --bmc1_property_lemmas                false
% 0.20/0.50  % --bmc1_k_induction                    false
% 0.20/0.50  % --bmc1_non_equiv_states               false
% 0.20/0.50  % --bmc1_deadlock                       false
% 0.20/0.50  % --bmc1_ucm                            false
% 0.20/0.50  % --bmc1_add_unsat_core                 none
% 0.20/0.50  % --bmc1_unsat_core_children            false
% 0.20/0.50  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.50  % --bmc1_out_stat                       full
% 0.20/0.50  % --bmc1_ground_init                    false
% 0.20/0.50  % --bmc1_pre_inst_next_state            false
% 0.20/0.50  % --bmc1_pre_inst_state                 false
% 0.20/0.50  % --bmc1_pre_inst_reach_state           false
% 0.20/0.50  % --bmc1_out_unsat_core                 false
% 0.20/0.50  % --bmc1_aig_witness_out                false
% 0.20/0.50  % --bmc1_verbose                        false
% 0.20/0.50  % --bmc1_dump_clauses_tptp              false
% 0.20/0.50  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.50  % --bmc1_dump_file                      -
% 0.20/0.50  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.50  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.50  % --bmc1_ucm_extend_mode                1
% 0.20/0.50  % --bmc1_ucm_init_mode                  2
% 0.20/0.50  % --bmc1_ucm_cone_mode                  none
% 0.20/0.50  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.50  % --bmc1_ucm_relax_model                4
% 0.20/0.50  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.50  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.50  % --bmc1_ucm_layered_model              none
% 0.20/0.50  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.50  
% 0.20/0.50  % ------ AIG Options
% 0.20/0.50  
% 0.20/0.50  % --aig_mode                            false
% 0.20/0.50  
% 0.20/0.50  % ------ Instantiation Options
% 0.20/0.50  
% 0.20/0.50  % --instantiation_flag                  true
% 0.20/0.50  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.50  % --inst_solver_per_active              750
% 0.20/0.50  % --inst_solver_calls_frac              0.5
% 0.20/0.50  % --inst_passive_queue_type             priority_queues
% 0.20/0.50  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.50  % --inst_passive_queues_freq            [25;2]
% 0.20/0.50  % --inst_dismatching                    true
% 0.20/0.50  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.50  % --inst_prop_sim_given                 true
% 0.20/0.50  % --inst_prop_sim_new                   false
% 0.20/0.50  % --inst_orphan_elimination             true
% 0.20/0.50  % --inst_learning_loop_flag             true
% 0.20/0.50  % --inst_learning_start                 3000
% 0.20/0.50  % --inst_learning_factor                2
% 0.20/0.50  % --inst_start_prop_sim_after_learn     3
% 0.20/0.50  % --inst_sel_renew                      solver
% 0.20/0.50  % --inst_lit_activity_flag              true
% 0.20/0.50  % --inst_out_proof                      true
% 0.20/0.50  
% 0.20/0.50  % ------ Resolution Options
% 0.20/0.50  
% 0.20/0.50  % --resolution_flag                     true
% 0.20/0.50  % --res_lit_sel                         kbo_max
% 0.20/0.50  % --res_to_prop_solver                  none
% 0.20/0.50  % --res_prop_simpl_new                  false
% 0.20/0.50  % --res_prop_simpl_given                false
% 0.20/0.50  % --res_passive_queue_type              priority_queues
% 0.20/0.50  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.50  % --res_passive_queues_freq             [15;5]
% 0.20/0.50  % --res_forward_subs                    full
% 0.20/0.50  % --res_backward_subs                   full
% 0.20/0.50  % --res_forward_subs_resolution         true
% 0.20/0.50  % --res_backward_subs_resolution        true
% 0.20/0.50  % --res_orphan_elimination              false
% 0.20/0.50  % --res_time_limit                      1000.
% 0.20/0.50  % --res_out_proof                       true
% 0.20/0.50  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_e11143.s
% 0.20/0.50  % --modulo                              true
% 0.20/0.50  
% 0.20/0.50  % ------ Combination Options
% 0.20/0.50  
% 0.20/0.50  % --comb_res_mult                       1000
% 0.20/0.50  % --comb_inst_mult                      300
% 0.20/0.50  % ------ 
% 0.20/0.50  
% 0.20/0.50  % ------ Parsing...% successful
% 0.20/0.50  
% 0.20/0.50  % ------ 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 % 
% 0.20/0.50  
% 0.20/0.50  % ------ Proving...
% 0.20/0.50  % ------ Problem Properties 
% 0.20/0.50  
% 0.20/0.50  % 
% 0.20/0.50  % EPR                                   false
% 0.20/0.50  % Horn                                  false
% 0.20/0.50  % Has equality                          true
% 0.20/0.50  
% 0.20/0.50  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  % % ------ Current options:
% 0.20/0.50  
% 0.20/0.50  % ------ Input Options
% 0.20/0.50  
% 0.20/0.50  % --out_options                         all
% 0.20/0.50  % --tptp_safe_out                       true
% 0.20/0.50  % --problem_path                        ""
% 0.20/0.50  % --include_path                        ""
% 0.20/0.50  % --clausifier                          .//eprover
% 0.20/0.50  % --clausifier_options                  --tstp-format  
% 0.20/0.50  % --stdin                               false
% 0.20/0.50  % --dbg_backtrace                       false
% 0.20/0.50  % --dbg_dump_prop_clauses               false
% 0.20/0.50  % --dbg_dump_prop_clauses_file          -
% 0.20/0.50  % --dbg_out_stat                        false
% 0.20/0.50  
% 0.20/0.50  % ------ General Options
% 0.20/0.50  
% 0.20/0.50  % --fof                                 false
% 0.20/0.50  % --time_out_real                       150.
% 0.20/0.50  % --time_out_prep_mult                  0.2
% 0.20/0.50  % --time_out_virtual                    -1.
% 0.20/0.50  % --schedule                            none
% 0.20/0.50  % --ground_splitting                    input
% 0.20/0.50  % --splitting_nvd                       16
% 0.20/0.50  % --non_eq_to_eq                        false
% 0.20/0.50  % --prep_gs_sim                         true
% 0.20/0.50  % --prep_unflatten                      false
% 0.20/0.50  % --prep_res_sim                        true
% 0.20/0.50  % --prep_upred                          true
% 0.20/0.50  % --res_sim_input                       true
% 0.20/0.50  % --clause_weak_htbl                    true
% 0.20/0.50  % --gc_record_bc_elim                   false
% 0.20/0.50  % --symbol_type_check                   false
% 0.20/0.50  % --clausify_out                        false
% 0.20/0.50  % --large_theory_mode                   false
% 0.20/0.50  % --prep_sem_filter                     none
% 0.20/0.50  % --prep_sem_filter_out                 false
% 0.20/0.50  % --preprocessed_out                    false
% 0.20/0.50  % --sub_typing                          false
% 0.20/0.50  % --brand_transform                     false
% 0.20/0.50  % --pure_diseq_elim                     true
% 0.20/0.50  % --min_unsat_core                      false
% 0.20/0.50  % --pred_elim                           true
% 0.20/0.50  % --add_important_lit                   false
% 0.20/0.50  % --soft_assumptions                    false
% 0.20/0.50  % --reset_solvers                       false
% 0.20/0.50  % --bc_imp_inh                          []
% 0.20/0.50  % --conj_cone_tolerance                 1.5
% 0.20/0.50  % --prolific_symb_bound                 500
% 0.20/0.50  % --lt_threshold                        2000
% 0.20/0.50  
% 0.20/0.50  % ------ SAT Options
% 0.20/0.50  
% 0.20/0.50  % --sat_mode                            false
% 0.20/0.50  % --sat_fm_restart_options              ""
% 0.20/0.50  % --sat_gr_def                          false
% 0.20/0.50  % --sat_epr_types                       true
% 0.20/0.50  % --sat_non_cyclic_types                false
% 0.20/0.50  % --sat_finite_models                   false
% 0.20/0.50  % --sat_fm_lemmas                       false
% 0.20/0.50  % --sat_fm_prep                         false
% 0.20/0.50  % --sat_fm_uc_incr                      true
% 0.20/0.50  % --sat_out_model                       small
% 0.20/0.50  % --sat_out_clauses                     false
% 0.20/0.50  
% 0.20/0.50  % ------ QBF Options
% 0.20/0.50  
% 0.20/0.50  % --qbf_mode                            false
% 0.20/0.50  % --qbf_elim_univ                       true
% 0.20/0.50  % --qbf_sk_in                           true
% 0.20/0.50  % --qbf_pred_elim                       true
% 0.20/0.50  % --qbf_split                           32
% 0.20/0.50  
% 0.20/0.50  % ------ BMC1 Options
% 0.20/0.50  
% 0.20/0.50  % --bmc1_incremental                    false
% 0.20/0.50  % --bmc1_axioms                         reachable_all
% 0.20/0.50  % --bmc1_min_bound                      0
% 0.20/0.50  % --bmc1_max_bound                      -1
% 0.20/0.50  % --bmc1_max_bound_default              -1
% 0.20/0.50  % --bmc1_symbol_reachability            true
% 0.20/0.50  % --bmc1_property_lemmas                false
% 0.20/0.50  % --bmc1_k_induction                    false
% 0.20/0.50  % --bmc1_non_equiv_states               false
% 0.20/0.50  % --bmc1_deadlock                       false
% 0.20/0.50  % --bmc1_ucm                            false
% 0.20/0.50  % --bmc1_add_unsat_core                 none
% 0.20/0.50  % --bmc1_unsat_core_children            false
% 0.20/0.50  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.50  % --bmc1_out_stat                       full
% 0.20/0.50  % --bmc1_ground_init                    false
% 0.20/0.50  % --bmc1_pre_inst_next_state            false
% 0.20/0.50  % --bmc1_pre_inst_state                 false
% 0.20/0.50  % --bmc1_pre_inst_reach_state           false
% 0.20/0.50  % --bmc1_out_unsat_core                 false
% 0.20/0.50  % --bmc1_aig_witness_out                false
% 0.20/0.50  % --bmc1_verbose                        false
% 0.20/0.50  % --bmc1_dump_clauses_tptp              false
% 0.20/0.50  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.50  % --bmc1_dump_file                      -
% 0.20/0.50  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.50  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.50  % --bmc1_ucm_extend_mode                1
% 0.20/0.50  % --bmc1_ucm_init_mode                  2
% 0.20/0.50  % --bmc1_ucm_cone_mode                  none
% 0.20/0.50  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.50  % --bmc1_ucm_relax_model                4
% 0.20/0.50  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.50  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.50  % --bmc1_ucm_layered_model              none
% 0.20/0.50  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.50  
% 0.20/0.50  % ------ AIG Options
% 0.20/0.50  
% 0.20/0.50  % --aig_mode                            false
% 0.20/0.50  
% 0.20/0.50  % ------ Instantiation Options
% 0.20/0.50  
% 0.20/0.50  % --instantiation_flag                  true
% 0.20/0.50  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.50  % --inst_solver_per_active              750
% 0.20/0.50  % --inst_solver_calls_frac              0.5
% 0.20/0.50  % --inst_passive_queue_type             priority_queues
% 0.20/0.50  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.50  % --inst_passive_queues_freq            [25;2]
% 0.20/0.50  % --inst_dismatching                    true
% 0.20/0.50  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.50  % --inst_prop_sim_given                 true
% 5.98/6.15  % --inst_prop_sim_new                   false
% 5.98/6.15  % --inst_orphan_elimination             true
% 5.98/6.15  % --inst_learning_loop_flag             true
% 5.98/6.15  % --inst_learning_start                 3000
% 5.98/6.15  % --inst_learning_factor                2
% 5.98/6.15  % --inst_start_prop_sim_after_learn     3
% 5.98/6.15  % --inst_sel_renew                      solver
% 5.98/6.15  % --inst_lit_activity_flag              true
% 5.98/6.15  % --inst_out_proof                      true
% 5.98/6.15  
% 5.98/6.15  % ------ Resolution Options
% 5.98/6.15  
% 5.98/6.15  % --resolution_flag                     true
% 5.98/6.15  % --res_lit_sel                         kbo_max
% 5.98/6.15  % --res_to_prop_solver                  none
% 5.98/6.15  % --res_prop_simpl_new                  false
% 5.98/6.15  % --res_prop_simpl_given                false
% 5.98/6.15  % --res_passive_queue_type              priority_queues
% 5.98/6.15  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.98/6.15  % --res_passive_queues_freq             [15;5]
% 5.98/6.15  % --res_forward_subs                    full
% 5.98/6.15  % --res_backward_subs                   full
% 5.98/6.15  % --res_forward_subs_resolution         true
% 5.98/6.15  % --res_backward_subs_resolution        true
% 5.98/6.15  % --res_orphan_elimination              false
% 5.98/6.15  % --res_time_limit                      1000.
% 5.98/6.15  % --res_out_proof                       true
% 5.98/6.15  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_e11143.s
% 5.98/6.15  % --modulo                              true
% 5.98/6.15  
% 5.98/6.15  % ------ Combination Options
% 5.98/6.15  
% 5.98/6.15  % --comb_res_mult                       1000
% 5.98/6.15  % --comb_inst_mult                      300
% 5.98/6.15  % ------ 
% 5.98/6.15  
% 5.98/6.15  
% 5.98/6.15  
% 5.98/6.15  % ------ Proving...
% 5.98/6.15  % 
% 5.98/6.15  
% 5.98/6.15  
% 5.98/6.15  % ------                             Statistics
% 5.98/6.15  
% 5.98/6.15  % ------ General
% 5.98/6.15  
% 5.98/6.15  % num_of_input_clauses:                 22
% 5.98/6.15  % num_of_input_neg_conjectures:         2
% 5.98/6.15  % num_of_splits:                        0
% 5.98/6.15  % num_of_split_atoms:                   0
% 5.98/6.15  % num_of_sem_filtered_clauses:          0
% 5.98/6.15  % num_of_subtypes:                      0
% 5.98/6.15  % monotx_restored_types:                0
% 5.98/6.15  % sat_num_of_epr_types:                 0
% 5.98/6.15  % sat_num_of_non_cyclic_types:          0
% 5.98/6.15  % sat_guarded_non_collapsed_types:      0
% 5.98/6.15  % is_epr:                               0
% 5.98/6.15  % is_horn:                              0
% 5.98/6.15  % has_eq:                               1
% 5.98/6.15  % num_pure_diseq_elim:                  0
% 5.98/6.15  % simp_replaced_by:                     0
% 5.98/6.15  % res_preprocessed:                     4
% 5.98/6.15  % prep_upred:                           0
% 5.98/6.15  % prep_unflattend:                      0
% 5.98/6.15  % pred_elim_cands:                      0
% 5.98/6.15  % pred_elim:                            0
% 5.98/6.15  % pred_elim_cl:                         0
% 5.98/6.15  % pred_elim_cycles:                     0
% 5.98/6.15  % forced_gc_time:                       0
% 5.98/6.15  % gc_basic_clause_elim:                 0
% 5.98/6.15  % parsing_time:                         0.001
% 5.98/6.15  % sem_filter_time:                      0.
% 5.98/6.15  % pred_elim_time:                       0.
% 5.98/6.15  % out_proof_time:                       0.
% 5.98/6.15  % monotx_time:                          0.
% 5.98/6.15  % subtype_inf_time:                     0.
% 5.98/6.15  % unif_index_cands_time:                0.004
% 5.98/6.15  % unif_index_add_time:                  0.005
% 5.98/6.15  % total_time:                           5.67
% 5.98/6.15  % num_of_symbols:                       34
% 5.98/6.15  % num_of_terms:                         10558
% 5.98/6.15  
% 5.98/6.15  % ------ Propositional Solver
% 5.98/6.15  
% 5.98/6.15  % prop_solver_calls:                    12
% 5.98/6.15  % prop_fast_solver_calls:               12
% 5.98/6.15  % prop_num_of_clauses:                  786
% 5.98/6.15  % prop_preprocess_simplified:           982
% 5.98/6.15  % prop_fo_subsumed:                     0
% 5.98/6.15  % prop_solver_time:                     0.
% 5.98/6.15  % prop_fast_solver_time:                0.
% 5.98/6.15  % prop_unsat_core_time:                 0.
% 5.98/6.15  
% 5.98/6.15  % ------ QBF 
% 5.98/6.15  
% 5.98/6.15  % qbf_q_res:                            0
% 5.98/6.15  % qbf_num_tautologies:                  0
% 5.98/6.15  % qbf_prep_cycles:                      0
% 5.98/6.15  
% 5.98/6.15  % ------ BMC1
% 5.98/6.15  
% 5.98/6.15  % bmc1_current_bound:                   -1
% 5.98/6.15  % bmc1_last_solved_bound:               -1
% 5.98/6.15  % bmc1_unsat_core_size:                 -1
% 5.98/6.15  % bmc1_unsat_core_parents_size:         -1
% 5.98/6.15  % bmc1_merge_next_fun:                  0
% 5.98/6.15  % bmc1_unsat_core_clauses_time:         0.
% 5.98/6.15  
% 5.98/6.15  % ------ Instantiation
% 5.98/6.15  
% 5.98/6.15  % inst_num_of_clauses:                  460
% 5.98/6.15  % inst_num_in_passive:                  221
% 5.98/6.15  % inst_num_in_active:                   214
% 5.98/6.15  % inst_num_in_unprocessed:              23
% 5.98/6.15  % inst_num_of_loops:                    323
% 5.98/6.15  % inst_num_of_learning_restarts:        0
% 5.98/6.15  % inst_num_moves_active_passive:        103
% 5.98/6.15  % inst_lit_activity:                    37
% 5.98/6.15  % inst_lit_activity_moves:              0
% 5.98/6.15  % inst_num_tautologies:                 0
% 5.98/6.15  % inst_num_prop_implied:                0
% 5.98/6.15  % inst_num_existing_simplified:         0
% 5.98/6.15  % inst_num_eq_res_simplified:           2
% 5.98/6.15  % inst_num_child_elim:                  0
% 5.98/6.15  % inst_num_of_dismatching_blockings:    806
% 5.98/6.15  % inst_num_of_non_proper_insts:         931
% 5.98/6.15  % inst_num_of_duplicates:               682
% 5.98/6.15  % inst_inst_num_from_inst_to_res:       0
% 5.98/6.15  % inst_dismatching_checking_time:       0.
% 5.98/6.15  
% 5.98/6.15  % ------ Resolution
% 5.98/6.15  
% 5.98/6.15  % res_num_of_clauses:                   3746
% 5.98/6.15  % res_num_in_passive:                   1741
% 5.98/6.15  % res_num_in_active:                    1995
% 5.98/6.15  % res_num_of_loops:                     2000
% 5.98/6.15  % res_forward_subset_subsumed:          40
% 5.98/6.15  % res_backward_subset_subsumed:         0
% 5.98/6.15  % res_forward_subsumed:                 14
% 5.98/6.15  % res_backward_subsumed:                0
% 5.98/6.15  % res_forward_subsumption_resolution:   0
% 5.98/6.15  % res_backward_subsumption_resolution:  0
% 5.98/6.15  % res_clause_to_clause_subsumption:     127555
% 5.98/6.15  % res_orphan_elimination:               0
% 5.98/6.15  % res_tautology_del:                    1
% 5.98/6.15  % res_num_eq_res_simplified:            0
% 5.98/6.15  % res_num_sel_changes:                  0
% 5.98/6.15  % res_moves_from_active_to_pass:        0
% 5.98/6.15  
% 5.98/6.15  % Status Unsatisfiable
% 5.98/6.15  % SZS status Theorem
% 5.98/6.15  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------