TSTP Solution File: SET978+1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SET978+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n012.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 02:19:00 EDT 2022

% Result   : Theorem 0.35s 0.52s
% Output   : CNFRefutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   77 (  31 unt;   0 def)
%            Number of atoms       :  130 (  20 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  120 (  67   ~;  41   |;   4   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  14 con; 0-2 aty)
%            Number of variables   :  116 (  32 sgn  32   !;   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,X3,X4] :
      ( ( disjoint(X1,X2)
        | disjoint(X3,X4) )
     => disjoint(cartesian_product2(X1,X3),cartesian_product2(X2,X4)) ),
    file('<stdin>',t127_zfmisc_1) ).

fof(c_0_1,axiom,
    ! [X1,X2] :
      ( disjoint(X1,X2)
     => disjoint(X2,X1) ),
    file('<stdin>',symmetry_r1_xboole_0) ).

fof(c_0_2,axiom,
    ! [X1,X2] :
      ( X1 != X2
     => disjoint(singleton(X1),singleton(X2)) ),
    file('<stdin>',t17_zfmisc_1) ).

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,X3,X4] :
      ( ( disjoint(X1,X2)
        | disjoint(X3,X4) )
     => disjoint(cartesian_product2(X1,X3),cartesian_product2(X2,X4)) ),
    c_0_0 ).

fof(c_0_6,axiom,
    ! [X1,X2] :
      ( disjoint(X1,X2)
     => disjoint(X2,X1) ),
    c_0_1 ).

fof(c_0_7,axiom,
    ! [X1,X2] :
      ( X1 != X2
     => disjoint(singleton(X1),singleton(X2)) ),
    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,
    ! [X5,X6,X7,X8] :
      ( ( ~ disjoint(X5,X6)
        | disjoint(cartesian_product2(X5,X7),cartesian_product2(X6,X8)) )
      & ( ~ disjoint(X7,X8)
        | disjoint(cartesian_product2(X5,X7),cartesian_product2(X6,X8)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

fof(c_0_11,plain,
    ! [X3,X4] :
      ( ~ disjoint(X3,X4)
      | disjoint(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).

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

fof(c_0_13,plain,
    ~ empty(esk2_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_8])]) ).

fof(c_0_14,plain,
    empty(esk1_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).

cnf(c_0_15,plain,
    ( disjoint(cartesian_product2(X1,X2),cartesian_product2(X3,X4))
    | ~ disjoint(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    ( disjoint(cartesian_product2(X1,X2),cartesian_product2(X3,X4))
    | ~ disjoint(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,plain,
    ( disjoint(X1,X2)
    | ~ disjoint(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,plain,
    ( disjoint(singleton(X1),singleton(X2))
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ~ empty(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,plain,
    empty(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    ( disjoint(cartesian_product2(X1,X2),cartesian_product2(X3,X4))
    | ~ disjoint(X1,X3) ),
    c_0_15,
    [final] ).

cnf(c_0_22,plain,
    ( disjoint(cartesian_product2(X1,X2),cartesian_product2(X3,X4))
    | ~ disjoint(X2,X4) ),
    c_0_16,
    [final] ).

cnf(c_0_23,plain,
    ( disjoint(X1,X2)
    | ~ disjoint(X2,X1) ),
    c_0_17,
    [final] ).

cnf(c_0_24,plain,
    ( disjoint(singleton(X1),singleton(X2))
    | X1 = X2 ),
    c_0_18,
    [final] ).

cnf(c_0_25,plain,
    ~ empty(esk2_0),
    c_0_19,
    [final] ).

cnf(c_0_26,plain,
    empty(esk1_0),
    c_0_20,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_21_0,axiom,
    ( disjoint(cartesian_product2(X1,X2),cartesian_product2(X3,X4))
    | ~ disjoint(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_21]) ).

cnf(c_0_21_1,axiom,
    ( ~ disjoint(X1,X3)
    | disjoint(cartesian_product2(X1,X2),cartesian_product2(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_21]) ).

cnf(c_0_22_0,axiom,
    ( disjoint(cartesian_product2(X1,X2),cartesian_product2(X3,X4))
    | ~ disjoint(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_22]) ).

cnf(c_0_22_1,axiom,
    ( ~ disjoint(X2,X4)
    | disjoint(cartesian_product2(X1,X2),cartesian_product2(X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_22]) ).

cnf(c_0_23_0,axiom,
    ( disjoint(X1,X2)
    | ~ disjoint(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_23]) ).

cnf(c_0_23_1,axiom,
    ( ~ disjoint(X2,X1)
    | disjoint(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_23]) ).

cnf(c_0_24_0,axiom,
    ( disjoint(singleton(X1),singleton(X2))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_24]) ).

cnf(c_0_24_1,axiom,
    ( X1 = X2
    | disjoint(singleton(X1),singleton(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_24]) ).

cnf(c_0_25_0,axiom,
    ~ empty(sk1_esk2_0),
    inference(literals_permutation,[status(thm)],[c_0_25]) ).

cnf(c_0_26_0,axiom,
    empty(sk1_esk1_0),
    inference(literals_permutation,[status(thm)],[c_0_26]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1,X2,X3,X4] :
      ( X1 != X2
     => ( disjoint(cartesian_product2(singleton(X1),X3),cartesian_product2(singleton(X2),X4))
        & disjoint(cartesian_product2(X3,singleton(X1)),cartesian_product2(X4,singleton(X2))) ) ),
    file('<stdin>',t131_zfmisc_1) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( X1 != X2
       => ( disjoint(cartesian_product2(singleton(X1),X3),cartesian_product2(singleton(X2),X4))
          & disjoint(cartesian_product2(X3,singleton(X1)),cartesian_product2(X4,singleton(X2))) ) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_003,negated_conjecture,
    ( esk1_0 != esk2_0
    & ( ~ disjoint(cartesian_product2(singleton(esk1_0),esk3_0),cartesian_product2(singleton(esk2_0),esk4_0))
      | ~ disjoint(cartesian_product2(esk5_0,singleton(esk1_0)),cartesian_product2(esk6_0,singleton(esk2_0))) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3_004,negated_conjecture,
    ( ~ disjoint(cartesian_product2(esk5_0,singleton(esk1_0)),cartesian_product2(esk6_0,singleton(esk2_0)))
    | ~ disjoint(cartesian_product2(singleton(esk1_0),esk3_0),cartesian_product2(singleton(esk2_0),esk4_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

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

cnf(c_0_5_006,negated_conjecture,
    ( ~ disjoint(cartesian_product2(esk5_0,singleton(esk1_0)),cartesian_product2(esk6_0,singleton(esk2_0)))
    | ~ disjoint(cartesian_product2(singleton(esk1_0),esk3_0),cartesian_product2(singleton(esk2_0),esk4_0)) ),
    c_0_3,
    [final] ).

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

% End CNF derivation

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

cnf(c_11,negated_conjecture,
    sk2_esk2_0 != sk2_esk1_0,
    file('/export/starexec/sandbox2/tmp/iprover_modulo_97677e.p',c_0_6) ).

cnf(c_16,negated_conjecture,
    sk2_esk2_0 != sk2_esk1_0,
    inference(copy,[status(esa)],[c_11]) ).

cnf(c_23,negated_conjecture,
    sk2_esk2_0 != sk2_esk1_0,
    inference(copy,[status(esa)],[c_16]) ).

cnf(c_24,negated_conjecture,
    sk2_esk2_0 != sk2_esk1_0,
    inference(copy,[status(esa)],[c_23]) ).

cnf(c_27,negated_conjecture,
    sk2_esk2_0 != sk2_esk1_0,
    inference(copy,[status(esa)],[c_24]) ).

cnf(c_62,negated_conjecture,
    sk2_esk2_0 != sk2_esk1_0,
    inference(copy,[status(esa)],[c_27]) ).

cnf(c_2,plain,
    ( disjoint(singleton(X0),singleton(X1))
    | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_97677e.p',c_0_24_1) ).

cnf(c_44,plain,
    ( disjoint(singleton(X0),singleton(X1))
    | X0 = X1 ),
    inference(copy,[status(esa)],[c_2]) ).

cnf(c_66,plain,
    disjoint(singleton(sk2_esk2_0),singleton(sk2_esk1_0)),
    inference(resolution,[status(thm)],[c_62,c_44]) ).

cnf(c_67,plain,
    disjoint(singleton(sk2_esk2_0),singleton(sk2_esk1_0)),
    inference(rewriting,[status(thm)],[c_66]) ).

cnf(c_8,plain,
    ( disjoint(cartesian_product2(X0,X1),cartesian_product2(X2,X3))
    | ~ disjoint(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_97677e.p',c_0_21_1) ).

cnf(c_56,plain,
    ( disjoint(cartesian_product2(X0,X1),cartesian_product2(X2,X3))
    | ~ disjoint(X0,X2) ),
    inference(copy,[status(esa)],[c_8]) ).

cnf(c_80,plain,
    disjoint(cartesian_product2(singleton(sk2_esk2_0),X0),cartesian_product2(singleton(sk2_esk1_0),X1)),
    inference(resolution,[status(thm)],[c_67,c_56]) ).

cnf(c_81,plain,
    disjoint(cartesian_product2(singleton(sk2_esk2_0),X0),cartesian_product2(singleton(sk2_esk1_0),X1)),
    inference(rewriting,[status(thm)],[c_80]) ).

cnf(c_10,negated_conjecture,
    ( ~ disjoint(cartesian_product2(singleton(sk2_esk1_0),sk2_esk3_0),cartesian_product2(singleton(sk2_esk2_0),sk2_esk4_0))
    | ~ disjoint(cartesian_product2(sk2_esk5_0,singleton(sk2_esk1_0)),cartesian_product2(sk2_esk6_0,singleton(sk2_esk2_0))) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_97677e.p',c_0_5) ).

cnf(c_14,negated_conjecture,
    ( ~ disjoint(cartesian_product2(singleton(sk2_esk1_0),sk2_esk3_0),cartesian_product2(singleton(sk2_esk2_0),sk2_esk4_0))
    | ~ disjoint(cartesian_product2(sk2_esk5_0,singleton(sk2_esk1_0)),cartesian_product2(sk2_esk6_0,singleton(sk2_esk2_0))) ),
    inference(copy,[status(esa)],[c_10]) ).

cnf(c_22,negated_conjecture,
    ( ~ disjoint(cartesian_product2(singleton(sk2_esk1_0),sk2_esk3_0),cartesian_product2(singleton(sk2_esk2_0),sk2_esk4_0))
    | ~ disjoint(cartesian_product2(sk2_esk5_0,singleton(sk2_esk1_0)),cartesian_product2(sk2_esk6_0,singleton(sk2_esk2_0))) ),
    inference(copy,[status(esa)],[c_14]) ).

cnf(c_25,negated_conjecture,
    ( ~ disjoint(cartesian_product2(singleton(sk2_esk1_0),sk2_esk3_0),cartesian_product2(singleton(sk2_esk2_0),sk2_esk4_0))
    | ~ disjoint(cartesian_product2(sk2_esk5_0,singleton(sk2_esk1_0)),cartesian_product2(sk2_esk6_0,singleton(sk2_esk2_0))) ),
    inference(copy,[status(esa)],[c_22]) ).

cnf(c_26,negated_conjecture,
    ( ~ disjoint(cartesian_product2(singleton(sk2_esk1_0),sk2_esk3_0),cartesian_product2(singleton(sk2_esk2_0),sk2_esk4_0))
    | ~ disjoint(cartesian_product2(sk2_esk5_0,singleton(sk2_esk1_0)),cartesian_product2(sk2_esk6_0,singleton(sk2_esk2_0))) ),
    inference(copy,[status(esa)],[c_25]) ).

cnf(c_60,negated_conjecture,
    ( ~ disjoint(cartesian_product2(singleton(sk2_esk1_0),sk2_esk3_0),cartesian_product2(singleton(sk2_esk2_0),sk2_esk4_0))
    | ~ disjoint(cartesian_product2(sk2_esk5_0,singleton(sk2_esk1_0)),cartesian_product2(sk2_esk6_0,singleton(sk2_esk2_0))) ),
    inference(copy,[status(esa)],[c_26]) ).

cnf(c_5,plain,
    ( ~ disjoint(X0,X1)
    | disjoint(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_97677e.p',c_0_23_0) ).

cnf(c_50,plain,
    ( ~ disjoint(X0,X1)
    | disjoint(X1,X0) ),
    inference(copy,[status(esa)],[c_5]) ).

cnf(c_72,plain,
    ( ~ disjoint(cartesian_product2(singleton(sk2_esk2_0),sk2_esk4_0),cartesian_product2(singleton(sk2_esk1_0),sk2_esk3_0))
    | ~ disjoint(cartesian_product2(sk2_esk5_0,singleton(sk2_esk1_0)),cartesian_product2(sk2_esk6_0,singleton(sk2_esk2_0))) ),
    inference(resolution,[status(thm)],[c_60,c_50]) ).

cnf(c_73,plain,
    ( ~ disjoint(cartesian_product2(singleton(sk2_esk2_0),sk2_esk4_0),cartesian_product2(singleton(sk2_esk1_0),sk2_esk3_0))
    | ~ disjoint(cartesian_product2(sk2_esk5_0,singleton(sk2_esk1_0)),cartesian_product2(sk2_esk6_0,singleton(sk2_esk2_0))) ),
    inference(rewriting,[status(thm)],[c_72]) ).

cnf(c_106,plain,
    ~ disjoint(cartesian_product2(sk2_esk5_0,singleton(sk2_esk1_0)),cartesian_product2(sk2_esk6_0,singleton(sk2_esk2_0))),
    inference(backward_subsumption_resolution,[status(thm)],[c_81,c_73]) ).

cnf(c_107,negated_conjecture,
    ~ disjoint(cartesian_product2(sk2_esk5_0,singleton(sk2_esk1_0)),cartesian_product2(sk2_esk6_0,singleton(sk2_esk2_0))),
    inference(rewriting,[status(thm)],[c_106]) ).

cnf(c_116,plain,
    ~ disjoint(cartesian_product2(sk2_esk6_0,singleton(sk2_esk2_0)),cartesian_product2(sk2_esk5_0,singleton(sk2_esk1_0))),
    inference(resolution,[status(thm)],[c_107,c_50]) ).

cnf(c_117,plain,
    ~ disjoint(cartesian_product2(sk2_esk6_0,singleton(sk2_esk2_0)),cartesian_product2(sk2_esk5_0,singleton(sk2_esk1_0))),
    inference(rewriting,[status(thm)],[c_116]) ).

cnf(c_6,plain,
    ( disjoint(cartesian_product2(X0,X1),cartesian_product2(X2,X3))
    | ~ disjoint(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_97677e.p',c_0_22_1) ).

cnf(c_52,plain,
    ( disjoint(cartesian_product2(X0,X1),cartesian_product2(X2,X3))
    | ~ disjoint(X1,X3) ),
    inference(copy,[status(esa)],[c_6]) ).

cnf(c_78,plain,
    disjoint(cartesian_product2(X0,singleton(sk2_esk2_0)),cartesian_product2(X1,singleton(sk2_esk1_0))),
    inference(resolution,[status(thm)],[c_67,c_52]) ).

cnf(c_79,plain,
    disjoint(cartesian_product2(X0,singleton(sk2_esk2_0)),cartesian_product2(X1,singleton(sk2_esk1_0))),
    inference(rewriting,[status(thm)],[c_78]) ).

cnf(c_119,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_117,c_79]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET978+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : iprover_modulo %s %d
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jul  9 16:00:44 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Running in mono-core mode
% 0.21/0.42  % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.42  % FOF problem with conjecture
% 0.21/0.42  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_130b46.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_97677e.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_fe3365 | grep -v "SZS"
% 0.21/0.44  
% 0.21/0.44  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.44  
% 0.21/0.44  % 
% 0.21/0.44  % ------  iProver source info 
% 0.21/0.44  
% 0.21/0.44  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.44  % git: non_committed_changes: true
% 0.21/0.44  % git: last_make_outside_of_git: true
% 0.21/0.44  
% 0.21/0.44  % 
% 0.21/0.44  % ------ Input Options
% 0.21/0.44  
% 0.21/0.44  % --out_options                         all
% 0.21/0.44  % --tptp_safe_out                       true
% 0.21/0.44  % --problem_path                        ""
% 0.21/0.44  % --include_path                        ""
% 0.21/0.44  % --clausifier                          .//eprover
% 0.21/0.44  % --clausifier_options                  --tstp-format  
% 0.21/0.44  % --stdin                               false
% 0.21/0.44  % --dbg_backtrace                       false
% 0.21/0.44  % --dbg_dump_prop_clauses               false
% 0.21/0.44  % --dbg_dump_prop_clauses_file          -
% 0.21/0.44  % --dbg_out_stat                        false
% 0.21/0.44  
% 0.21/0.44  % ------ General Options
% 0.21/0.44  
% 0.21/0.44  % --fof                                 false
% 0.21/0.44  % --time_out_real                       150.
% 0.21/0.44  % --time_out_prep_mult                  0.2
% 0.21/0.44  % --time_out_virtual                    -1.
% 0.21/0.44  % --schedule                            none
% 0.21/0.44  % --ground_splitting                    input
% 0.21/0.44  % --splitting_nvd                       16
% 0.21/0.44  % --non_eq_to_eq                        false
% 0.21/0.44  % --prep_gs_sim                         true
% 0.21/0.44  % --prep_unflatten                      false
% 0.21/0.44  % --prep_res_sim                        true
% 0.21/0.44  % --prep_upred                          true
% 0.21/0.44  % --res_sim_input                       true
% 0.21/0.44  % --clause_weak_htbl                    true
% 0.21/0.44  % --gc_record_bc_elim                   false
% 0.21/0.44  % --symbol_type_check                   false
% 0.21/0.44  % --clausify_out                        false
% 0.21/0.44  % --large_theory_mode                   false
% 0.21/0.44  % --prep_sem_filter                     none
% 0.21/0.44  % --prep_sem_filter_out                 false
% 0.21/0.44  % --preprocessed_out                    false
% 0.21/0.44  % --sub_typing                          false
% 0.21/0.44  % --brand_transform                     false
% 0.21/0.44  % --pure_diseq_elim                     true
% 0.21/0.44  % --min_unsat_core                      false
% 0.21/0.44  % --pred_elim                           true
% 0.21/0.44  % --add_important_lit                   false
% 0.21/0.44  % --soft_assumptions                    false
% 0.21/0.44  % --reset_solvers                       false
% 0.21/0.44  % --bc_imp_inh                          []
% 0.21/0.44  % --conj_cone_tolerance                 1.5
% 0.21/0.44  % --prolific_symb_bound                 500
% 0.21/0.44  % --lt_threshold                        2000
% 0.21/0.44  
% 0.21/0.44  % ------ SAT Options
% 0.21/0.44  
% 0.21/0.44  % --sat_mode                            false
% 0.21/0.44  % --sat_fm_restart_options              ""
% 0.21/0.44  % --sat_gr_def                          false
% 0.21/0.44  % --sat_epr_types                       true
% 0.21/0.44  % --sat_non_cyclic_types                false
% 0.21/0.44  % --sat_finite_models                   false
% 0.21/0.44  % --sat_fm_lemmas                       false
% 0.21/0.44  % --sat_fm_prep                         false
% 0.21/0.44  % --sat_fm_uc_incr                      true
% 0.21/0.44  % --sat_out_model                       small
% 0.21/0.44  % --sat_out_clauses                     false
% 0.21/0.44  
% 0.21/0.44  % ------ QBF Options
% 0.21/0.44  
% 0.21/0.44  % --qbf_mode                            false
% 0.21/0.44  % --qbf_elim_univ                       true
% 0.21/0.44  % --qbf_sk_in                           true
% 0.21/0.44  % --qbf_pred_elim                       true
% 0.21/0.44  % --qbf_split                           32
% 0.21/0.44  
% 0.21/0.44  % ------ BMC1 Options
% 0.21/0.44  
% 0.21/0.44  % --bmc1_incremental                    false
% 0.21/0.44  % --bmc1_axioms                         reachable_all
% 0.21/0.44  % --bmc1_min_bound                      0
% 0.21/0.44  % --bmc1_max_bound                      -1
% 0.21/0.44  % --bmc1_max_bound_default              -1
% 0.21/0.44  % --bmc1_symbol_reachability            true
% 0.21/0.44  % --bmc1_property_lemmas                false
% 0.21/0.44  % --bmc1_k_induction                    false
% 0.21/0.44  % --bmc1_non_equiv_states               false
% 0.21/0.44  % --bmc1_deadlock                       false
% 0.21/0.44  % --bmc1_ucm                            false
% 0.21/0.44  % --bmc1_add_unsat_core                 none
% 0.21/0.44  % --bmc1_unsat_core_children            false
% 0.21/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.44  % --bmc1_out_stat                       full
% 0.21/0.44  % --bmc1_ground_init                    false
% 0.21/0.44  % --bmc1_pre_inst_next_state            false
% 0.21/0.44  % --bmc1_pre_inst_state                 false
% 0.21/0.44  % --bmc1_pre_inst_reach_state           false
% 0.21/0.44  % --bmc1_out_unsat_core                 false
% 0.21/0.44  % --bmc1_aig_witness_out                false
% 0.21/0.44  % --bmc1_verbose                        false
% 0.21/0.44  % --bmc1_dump_clauses_tptp              false
% 0.21/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.44  % --bmc1_dump_file                      -
% 0.21/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.44  % --bmc1_ucm_extend_mode                1
% 0.21/0.44  % --bmc1_ucm_init_mode                  2
% 0.21/0.44  % --bmc1_ucm_cone_mode                  none
% 0.21/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.44  % --bmc1_ucm_relax_model                4
% 0.21/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.44  % --bmc1_ucm_layered_model              none
% 0.21/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.44  
% 0.21/0.44  % ------ AIG Options
% 0.21/0.44  
% 0.21/0.44  % --aig_mode                            false
% 0.21/0.44  
% 0.21/0.44  % ------ Instantiation Options
% 0.21/0.44  
% 0.21/0.44  % --instantiation_flag                  true
% 0.21/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.44  % --inst_solver_per_active              750
% 0.21/0.44  % --inst_solver_calls_frac              0.5
% 0.21/0.44  % --inst_passive_queue_type             priority_queues
% 0.21/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.44  % --inst_passive_queues_freq            [25;2]
% 0.21/0.44  % --inst_dismatching                    true
% 0.21/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.44  % --inst_prop_sim_given                 true
% 0.21/0.44  % --inst_prop_sim_new                   false
% 0.21/0.44  % --inst_orphan_elimination             true
% 0.21/0.44  % --inst_learning_loop_flag             true
% 0.21/0.44  % --inst_learning_start                 3000
% 0.21/0.44  % --inst_learning_factor                2
% 0.21/0.44  % --inst_start_prop_sim_after_learn     3
% 0.21/0.44  % --inst_sel_renew                      solver
% 0.21/0.44  % --inst_lit_activity_flag              true
% 0.21/0.44  % --inst_out_proof                      true
% 0.21/0.44  
% 0.21/0.44  % ------ Resolution Options
% 0.21/0.44  
% 0.21/0.44  % --resolution_flag                     true
% 0.21/0.44  % --res_lit_sel                         kbo_max
% 0.21/0.44  % --res_to_prop_solver                  none
% 0.21/0.44  % --res_prop_simpl_new                  false
% 0.21/0.44  % --res_prop_simpl_given                false
% 0.21/0.44  % --res_passive_queue_type              priority_queues
% 0.21/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.44  % --res_passive_queues_freq             [15;5]
% 0.21/0.44  % --res_forward_subs                    full
% 0.21/0.44  % --res_backward_subs                   full
% 0.21/0.44  % --res_forward_subs_resolution         true
% 0.21/0.44  % --res_backward_subs_resolution        true
% 0.21/0.44  % --res_orphan_elimination              false
% 0.21/0.44  % --res_time_limit                      1000.
% 0.21/0.44  % --res_out_proof                       true
% 0.21/0.44  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_130b46.s
% 0.21/0.44  % --modulo                              true
% 0.21/0.44  
% 0.21/0.44  % ------ Combination Options
% 0.21/0.44  
% 0.21/0.44  % --comb_res_mult                       1000
% 0.21/0.44  % --comb_inst_mult                      300
% 0.21/0.44  % ------ 
% 0.21/0.44  
% 0.21/0.44  % ------ Parsing...% 
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  % ------                             Statistics
% 0.21/0.44  
% 0.21/0.44  % ------ General
% 0.21/0.44  
% 0.21/0.44  % num_of_input_clauses:                 3
% 0.21/0.44  % num_of_input_neg_conjectures:         0
% 0.21/0.44  % num_of_splits:                        0
% 0.21/0.44  % num_of_split_atoms:                   0
% 0.21/0.44  % num_of_sem_filtered_clauses:          0
% 0.21/0.44  % num_of_subtypes:                      0
% 0.21/0.44  % monotx_restored_types:                0
% 0.21/0.44  % sat_num_of_epr_types:                 0
% 0.21/0.44  % sat_num_of_non_cyclic_types:          0
% 0.21/0.44  % sat_guarded_non_collapsed_types:      0
% 0.21/0.44  % is_epr:                               0
% 0.21/0.44  % is_horn:                              0
% 0.21/0.44  % has_eq:                               0
% 0.21/0.44  % num_pure_diseq_elim:                  0
% 0.21/0.44  % simp_replaced_by:                     0
% 0.21/0.44  % res_preprocessed:                     0
% 0.21/0.44  % prep_upred:                           0
% 0.21/0.44  % prep_unflattend:                      0
% 0.21/0.44  % pred_elim_cands:                      0
% 0.21/0.44  % pred_elim:                            0
% 0.21/0.44  % pred_elim_cl:                         0
% 0.21/0.44  % pred_elim_cycles:                     0
% 0.21/0.44  % forced_gc_time:                       0
% 0.21/0.44  % gc_basic_clause_elim:                 0
% 0.21/0.44  % parsing_time:                         0.
% 0.21/0.44  % sem_filter_time:                      0.
% 0.21/0.44  % pred_elim_time:                       0.
% 0.21/0.44  % out_proof_time:                       0.
% 0.21/0.44  % monotx_time:                          0.
% 0.21/0.44  % subtype_inf_time:                     0.
% 0.21/0.44  % unif_index_cands_time:                0.
% 0.21/0.44  % unFatal error: exception Failure("Parse error in: /export/starexec/sandbox2/tmp/iprover_modulo_97677e.p line: 6 near token: '!='")
% 0.21/0.44  if_index_add_time:                  0.
% 0.21/0.44  % total_time:                           0.017
% 0.21/0.44  % num_of_symbols:                       29
% 0.21/0.44  % num_of_terms:                         18
% 0.21/0.44  
% 0.21/0.44  % ------ Propositional Solver
% 0.21/0.44  
% 0.21/0.44  % prop_solver_calls:                    0
% 0.21/0.44  % prop_fast_solver_calls:               0
% 0.21/0.44  % prop_num_of_clauses:                  0
% 0.21/0.44  % prop_preprocess_simplified:           0
% 0.21/0.44  % prop_fo_subsumed:                     0
% 0.21/0.44  % prop_solver_time:                     0.
% 0.21/0.44  % prop_fast_solver_time:                0.
% 0.21/0.44  % prop_unsat_core_time:                 0.
% 0.21/0.44  
% 0.21/0.44  % ------ QBF 
% 0.21/0.44  
% 0.21/0.44  % qbf_q_res:                            0
% 0.21/0.44  % qbf_num_tautologies:                  0
% 0.21/0.44  % qbf_prep_cycles:                      0
% 0.21/0.44  
% 0.21/0.44  % ------ BMC1
% 0.21/0.44  
% 0.21/0.44  % bmc1_current_bound:                   -1
% 0.21/0.44  % bmc1_last_solved_bound:               -1
% 0.21/0.44  % bmc1_unsat_core_size:                 -1
% 0.21/0.44  % bmc1_unsat_core_parents_size:         -1
% 0.21/0.44  % bmc1_merge_next_fun:                  0
% 0.21/0.44  % bmc1_unsat_core_clauses_time:         0.
% 0.21/0.44  
% 0.21/0.44  % ------ Instantiation
% 0.21/0.44  
% 0.21/0.44  % inst_num_of_clauses:                  undef
% 0.21/0.44  % inst_num_in_passive:                  undef
% 0.21/0.44  % inst_num_in_active:                   0
% 0.21/0.44  % inst_num_in_unprocessed:              0
% 0.21/0.44  % inst_num_of_loops:                    0
% 0.21/0.44  % inst_num_of_learning_restarts:        0
% 0.21/0.44  % inst_num_moves_active_passive:        0
% 0.21/0.44  % inst_lit_activity:                    0
% 0.21/0.44  % inst_lit_activity_moves:              0
% 0.21/0.44  % inst_num_tautologies:                 0
% 0.21/0.44  % inst_num_prop_implied:                0
% 0.21/0.44  % inst_num_existing_simplified:         0
% 0.21/0.44  % inst_num_eq_res_simplified:           0
% 0.21/0.44  % inst_num_child_elim:                  0
% 0.21/0.44  % inst_num_of_dismatching_blockings:    0
% 0.21/0.44  % inst_num_of_non_proper_insts:         0
% 0.21/0.44  % inst_num_of_duplicates:               0
% 0.21/0.44  % inst_inst_num_from_inst_to_res:       0
% 0.21/0.44  % inst_dismatching_checking_time:       0.
% 0.21/0.44  
% 0.21/0.44  % ------ Resolution
% 0.21/0.44  
% 0.21/0.44  % res_num_of_clauses:                   undef
% 0.21/0.44  % res_num_in_passive:                   undef
% 0.21/0.44  % res_num_in_active:                    0
% 0.21/0.44  % res_num_of_loops:                     0
% 0.21/0.44  % res_forward_subset_subsumed:          0
% 0.21/0.44  % res_backward_subset_subsumed:         0
% 0.21/0.44  % res_forward_subsumed:                 0
% 0.21/0.44  % res_backward_subsumed:                0
% 0.21/0.44  % res_forward_subsumption_resolution:   0
% 0.21/0.44  % res_backward_subsumption_resolution:  0
% 0.21/0.44  % res_clause_to_clause_subsumption:     0
% 0.21/0.44  % res_orphan_elimination:               0
% 0.21/0.44  % res_tautology_del:                    0
% 0.21/0.44  % res_num_eq_res_simplified:            0
% 0.21/0.44  % res_num_sel_changes:                  0
% 0.21/0.44  % res_moves_from_active_to_pass:        0
% 0.21/0.44  
% 0.21/0.44  % Status Unknown
% 0.21/0.48  % Orienting using strategy ClausalAll
% 0.21/0.48  % FOF problem with conjecture
% 0.21/0.48  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_130b46.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_97677e.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_9f66e7 | grep -v "SZS"
% 0.21/0.51  
% 0.21/0.51  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.51  
% 0.21/0.51  % 
% 0.21/0.51  % ------  iProver source info 
% 0.21/0.51  
% 0.21/0.51  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.51  % git: non_committed_changes: true
% 0.21/0.51  % git: last_make_outside_of_git: true
% 0.21/0.51  
% 0.21/0.51  % 
% 0.21/0.51  % ------ Input Options
% 0.21/0.51  
% 0.21/0.51  % --out_options                         all
% 0.21/0.51  % --tptp_safe_out                       true
% 0.21/0.51  % --problem_path                        ""
% 0.21/0.51  % --include_path                        ""
% 0.21/0.51  % --clausifier                          .//eprover
% 0.21/0.51  % --clausifier_options                  --tstp-format  
% 0.21/0.51  % --stdin                               false
% 0.21/0.51  % --dbg_backtrace                       false
% 0.21/0.51  % --dbg_dump_prop_clauses               false
% 0.21/0.51  % --dbg_dump_prop_clauses_file          -
% 0.21/0.51  % --dbg_out_stat                        false
% 0.21/0.51  
% 0.21/0.51  % ------ General Options
% 0.21/0.51  
% 0.21/0.51  % --fof                                 false
% 0.21/0.51  % --time_out_real                       150.
% 0.21/0.51  % --time_out_prep_mult                  0.2
% 0.21/0.51  % --time_out_virtual                    -1.
% 0.21/0.51  % --schedule                            none
% 0.21/0.51  % --ground_splitting                    input
% 0.21/0.51  % --splitting_nvd                       16
% 0.21/0.51  % --non_eq_to_eq                        false
% 0.21/0.51  % --prep_gs_sim                         true
% 0.21/0.51  % --prep_unflatten                      false
% 0.21/0.51  % --prep_res_sim                        true
% 0.21/0.51  % --prep_upred                          true
% 0.21/0.51  % --res_sim_input                       true
% 0.21/0.51  % --clause_weak_htbl                    true
% 0.21/0.51  % --gc_record_bc_elim                   false
% 0.21/0.51  % --symbol_type_check                   false
% 0.21/0.51  % --clausify_out                        false
% 0.21/0.51  % --large_theory_mode                   false
% 0.21/0.51  % --prep_sem_filter                     none
% 0.21/0.51  % --prep_sem_filter_out                 false
% 0.21/0.51  % --preprocessed_out                    false
% 0.21/0.51  % --sub_typing                          false
% 0.21/0.51  % --brand_transform                     false
% 0.21/0.51  % --pure_diseq_elim                     true
% 0.21/0.51  % --min_unsat_core                      false
% 0.21/0.51  % --pred_elim                           true
% 0.21/0.51  % --add_important_lit                   false
% 0.21/0.51  % --soft_assumptions                    false
% 0.21/0.51  % --reset_solvers                       false
% 0.21/0.51  % --bc_imp_inh                          []
% 0.21/0.51  % --conj_cone_tolerance                 1.5
% 0.21/0.51  % --prolific_symb_bound                 500
% 0.21/0.51  % --lt_threshold                        2000
% 0.21/0.51  
% 0.21/0.51  % ------ SAT Options
% 0.21/0.51  
% 0.21/0.51  % --sat_mode                            false
% 0.21/0.51  % --sat_fm_restart_options              ""
% 0.21/0.51  % --sat_gr_def                          false
% 0.21/0.51  % --sat_epr_types                       true
% 0.21/0.51  % --sat_non_cyclic_types                false
% 0.21/0.51  % --sat_finite_models                   false
% 0.21/0.51  % --sat_fm_lemmas                       false
% 0.21/0.51  % --sat_fm_prep                         false
% 0.21/0.51  % --sat_fm_uc_incr                      true
% 0.21/0.51  % --sat_out_model                       small
% 0.21/0.51  % --sat_out_clauses                     false
% 0.21/0.51  
% 0.21/0.51  % ------ QBF Options
% 0.21/0.51  
% 0.21/0.51  % --qbf_mode                            false
% 0.21/0.51  % --qbf_elim_univ                       true
% 0.21/0.51  % --qbf_sk_in                           true
% 0.21/0.51  % --qbf_pred_elim                       true
% 0.21/0.51  % --qbf_split                           32
% 0.21/0.51  
% 0.21/0.51  % ------ BMC1 Options
% 0.21/0.51  
% 0.21/0.51  % --bmc1_incremental                    false
% 0.21/0.51  % --bmc1_axioms                         reachable_all
% 0.21/0.51  % --bmc1_min_bound                      0
% 0.21/0.51  % --bmc1_max_bound                      -1
% 0.21/0.51  % --bmc1_max_bound_default              -1
% 0.21/0.51  % --bmc1_symbol_reachability            true
% 0.21/0.51  % --bmc1_property_lemmas                false
% 0.21/0.51  % --bmc1_k_induction                    false
% 0.21/0.51  % --bmc1_non_equiv_states               false
% 0.21/0.51  % --bmc1_deadlock                       false
% 0.21/0.51  % --bmc1_ucm                            false
% 0.21/0.51  % --bmc1_add_unsat_core                 none
% 0.21/0.51  % --bmc1_unsat_core_children            false
% 0.21/0.51  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.51  % --bmc1_out_stat                       full
% 0.21/0.51  % --bmc1_ground_init                    false
% 0.21/0.51  % --bmc1_pre_inst_next_state            false
% 0.21/0.51  % --bmc1_pre_inst_state                 false
% 0.21/0.51  % --bmc1_pre_inst_reach_state           false
% 0.21/0.51  % --bmc1_out_unsat_core                 false
% 0.21/0.51  % --bmc1_aig_witness_out                false
% 0.21/0.51  % --bmc1_verbose                        false
% 0.21/0.51  % --bmc1_dump_clauses_tptp              false
% 0.21/0.51  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.51  % --bmc1_dump_file                      -
% 0.21/0.51  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.51  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.51  % --bmc1_ucm_extend_mode                1
% 0.21/0.51  % --bmc1_ucm_init_mode                  2
% 0.21/0.51  % --bmc1_ucm_cone_mode                  none
% 0.21/0.51  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.51  % --bmc1_ucm_relax_model                4
% 0.21/0.51  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.51  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.51  % --bmc1_ucm_layered_model              none
% 0.21/0.51  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.51  
% 0.21/0.51  % ------ AIG Options
% 0.21/0.51  
% 0.21/0.51  % --aig_mode                            false
% 0.21/0.51  
% 0.21/0.51  % ------ Instantiation Options
% 0.21/0.51  
% 0.21/0.51  % --instantiation_flag                  true
% 0.21/0.51  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.51  % --inst_solver_per_active              750
% 0.21/0.51  % --inst_solver_calls_frac              0.5
% 0.21/0.51  % --inst_passive_queue_type             priority_queues
% 0.21/0.51  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.51  % --inst_passive_queues_freq            [25;2]
% 0.21/0.51  % --inst_dismatching                    true
% 0.21/0.51  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.51  % --inst_prop_sim_given                 true
% 0.21/0.51  % --inst_prop_sim_new                   false
% 0.21/0.51  % --inst_orphan_elimination             true
% 0.21/0.51  % --inst_learning_loop_flag             true
% 0.21/0.51  % --inst_learning_start                 3000
% 0.21/0.51  % --inst_learning_factor                2
% 0.21/0.51  % --inst_start_prop_sim_after_learn     3
% 0.21/0.51  % --inst_sel_renew                      solver
% 0.21/0.51  % --inst_lit_activity_flag              true
% 0.21/0.51  % --inst_out_proof                      true
% 0.21/0.51  
% 0.21/0.51  % ------ Resolution Options
% 0.21/0.51  
% 0.21/0.51  % --resolution_flag                     true
% 0.21/0.51  % --res_lit_sel                         kbo_max
% 0.21/0.51  % --res_to_prop_solver                  none
% 0.21/0.51  % --res_prop_simpl_new                  false
% 0.21/0.51  % --res_prop_simpl_given                false
% 0.21/0.51  % --res_passive_queue_type              priority_queues
% 0.21/0.51  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.51  % --res_passive_queues_freq             [15;5]
% 0.21/0.51  % --res_forward_subs                    full
% 0.21/0.51  % --res_backward_subs                   full
% 0.21/0.51  % --res_forward_subs_resolution         true
% 0.21/0.51  % --res_backward_subs_resolution        true
% 0.21/0.51  % --res_orphan_elimination              false
% 0.21/0.51  % --res_time_limit                      1000.
% 0.21/0.51  % --res_out_proof                       true
% 0.21/0.51  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_130b46.s
% 0.21/0.51  % --modulo                              true
% 0.21/0.51  
% 0.21/0.51  % ------ Combination Options
% 0.21/0.51  
% 0.21/0.51  % --comb_res_mult                       1000
% 0.21/0.51  % --comb_inst_mult                      300
% 0.21/0.51  % ------ 
% 0.21/0.51  
% 0.21/0.51  % ------ Parsing...% successful
% 0.21/0.51  
% 0.21/0.51  % ------ 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 % 
% 0.21/0.51  
% 0.21/0.51  % ------ Proving...
% 0.21/0.51  % ------ Problem Properties 
% 0.21/0.51  
% 0.21/0.51  % 
% 0.21/0.51  % EPR                                   false
% 0.21/0.51  % Horn                                  false
% 0.21/0.51  % Has equality                          true
% 0.21/0.51  
% 0.21/0.51  % % ------ Input Options Time Limit: Unbounded
% 0.21/0.51  
% 0.21/0.51  
% 0.21/0.51  % % ------ Current options:
% 0.21/0.51  
% 0.21/0.51  % ------ Input Options
% 0.21/0.51  
% 0.21/0.51  % --out_options                         all
% 0.21/0.51  % --tptp_safe_out                       true
% 0.21/0.51  % --problem_path                        ""
% 0.21/0.51  % --include_path                        ""
% 0.21/0.51  % --clausifier                          .//eprover
% 0.21/0.51  % --clausifier_options                  --tstp-format  
% 0.21/0.51  % --stdin                               false
% 0.21/0.51  % --dbg_backtrace                       false
% 0.21/0.51  % --dbg_dump_prop_clauses               false
% 0.21/0.51  % --dbg_dump_prop_clauses_file          -
% 0.21/0.51  % --dbg_out_stat                        false
% 0.21/0.51  
% 0.21/0.51  % ------ General Options
% 0.21/0.51  
% 0.21/0.51  % --fof                                 false
% 0.21/0.51  % --time_out_real                       150.
% 0.21/0.51  % --time_out_prep_mult                  0.2
% 0.21/0.51  % --time_out_virtual                    -1.
% 0.21/0.51  % --schedule                            none
% 0.21/0.51  % --ground_splitting                    input
% 0.21/0.51  % --splitting_nvd                       16
% 0.21/0.51  % --non_eq_to_eq                        false
% 0.21/0.51  % --prep_gs_sim                         true
% 0.21/0.51  % --prep_unflatten                      false
% 0.21/0.51  % --prep_res_sim                        true
% 0.21/0.51  % --prep_upred                          true
% 0.21/0.51  % --res_sim_input                       true
% 0.21/0.51  % --clause_weak_htbl                    true
% 0.21/0.51  % --gc_record_bc_elim                   false
% 0.21/0.51  % --symbol_type_check                   false
% 0.21/0.51  % --clausify_out                        false
% 0.21/0.51  % --large_theory_mode                   false
% 0.21/0.51  % --prep_sem_filter                     none
% 0.21/0.51  % --prep_sem_filter_out                 false
% 0.21/0.51  % --preprocessed_out                    false
% 0.21/0.51  % --sub_typing                          false
% 0.21/0.51  % --brand_transform                     false
% 0.21/0.51  % --pure_diseq_elim                     true
% 0.21/0.51  % --min_unsat_core                      false
% 0.21/0.51  % --pred_elim                           true
% 0.21/0.51  % --add_important_lit                   false
% 0.21/0.51  % --soft_assumptions                    false
% 0.21/0.51  % --reset_solvers                       false
% 0.21/0.51  % --bc_imp_inh                          []
% 0.21/0.51  % --conj_cone_tolerance                 1.5
% 0.21/0.51  % --prolific_symb_bound                 500
% 0.21/0.51  % --lt_threshold                        2000
% 0.21/0.51  
% 0.21/0.51  % ------ SAT Options
% 0.21/0.51  
% 0.21/0.51  % --sat_mode                            false
% 0.21/0.51  % --sat_fm_restart_options              ""
% 0.21/0.51  % --sat_gr_def                          false
% 0.21/0.51  % --sat_epr_types                       true
% 0.21/0.51  % --sat_non_cyclic_types                false
% 0.21/0.51  % --sat_finite_models                   false
% 0.21/0.51  % --sat_fm_lemmas                       false
% 0.21/0.51  % --sat_fm_prep                         false
% 0.21/0.51  % --sat_fm_uc_incr                      true
% 0.21/0.51  % --sat_out_model                       small
% 0.21/0.51  % --sat_out_clauses                     false
% 0.21/0.51  
% 0.21/0.51  % ------ QBF Options
% 0.21/0.51  
% 0.21/0.51  % --qbf_mode                            false
% 0.21/0.51  % --qbf_elim_univ                       true
% 0.21/0.51  % --qbf_sk_in                           true
% 0.21/0.51  % --qbf_pred_elim                       true
% 0.21/0.51  % --qbf_split                           32
% 0.21/0.51  
% 0.21/0.51  % ------ BMC1 Options
% 0.21/0.51  
% 0.21/0.51  % --bmc1_incremental                    false
% 0.21/0.51  % --bmc1_axioms                         reachable_all
% 0.21/0.51  % --bmc1_min_bound                      0
% 0.21/0.51  % --bmc1_max_bound                      -1
% 0.21/0.51  % --bmc1_max_bound_default              -1
% 0.21/0.51  % --bmc1_symbol_reachability            true
% 0.21/0.51  % --bmc1_property_lemmas                false
% 0.21/0.51  % --bmc1_k_induction                    false
% 0.21/0.51  % --bmc1_non_equiv_states               false
% 0.21/0.51  % --bmc1_deadlock                       false
% 0.21/0.51  % --bmc1_ucm                            false
% 0.21/0.51  % --bmc1_add_unsat_core                 none
% 0.21/0.51  % --bmc1_unsat_core_children            false
% 0.21/0.51  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.51  % --bmc1_out_stat                       full
% 0.21/0.51  % --bmc1_ground_init                    false
% 0.21/0.51  % --bmc1_pre_inst_next_state            false
% 0.21/0.51  % --bmc1_pre_inst_state                 false
% 0.21/0.51  % --bmc1_pre_inst_reach_state           false
% 0.21/0.51  % --bmc1_out_unsat_core                 false
% 0.21/0.51  % --bmc1_aig_witness_out                false
% 0.21/0.51  % --bmc1_verbose                        false
% 0.21/0.51  % --bmc1_dump_clauses_tptp              false
% 0.21/0.51  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.51  % --bmc1_dump_file                      -
% 0.21/0.51  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.51  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.51  % --bmc1_ucm_extend_mode                1
% 0.21/0.51  % --bmc1_ucm_init_mode                  2
% 0.21/0.51  % --bmc1_ucm_cone_mode                  none
% 0.21/0.51  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.51  % --bmc1_ucm_relax_model                4
% 0.21/0.51  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.51  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.51  % --bmc1_ucm_layered_model              none
% 0.21/0.51  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.51  
% 0.21/0.51  % ------ AIG Options
% 0.21/0.51  
% 0.21/0.51  % --aig_mode                            false
% 0.21/0.51  
% 0.21/0.51  % ------ Instantiation Options
% 0.21/0.51  
% 0.21/0.51  % --instantiation_flag                  true
% 0.21/0.51  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.51  % --inst_solver_per_active              750
% 0.21/0.51  % --inst_solver_calls_frac              0.5
% 0.21/0.51  % --inst_passive_queue_type             priority_queues
% 0.21/0.51  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.51  % --inst_passive_queues_freq            [25;2]
% 0.21/0.51  % --inst_dismatching                    true
% 0.21/0.51  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.51  % --inst_prop_sim_given                 true
% 0.21/0.52  % --inst_prop_sim_new                   false
% 0.21/0.52  % --inst_orphan_elimination             true
% 0.21/0.52  % --inst_learning_loop_flag             true
% 0.21/0.52  % --inst_learning_start                 3000
% 0.21/0.52  % --inst_learning_factor                2
% 0.21/0.52  % --inst_start_prop_sim_after_learn     3
% 0.21/0.52  % --inst_sel_renew                      solver
% 0.21/0.52  % --inst_lit_activity_flag              true
% 0.21/0.52  % --inst_out_proof                      true
% 0.21/0.52  
% 0.21/0.52  % ------ Resolution Options
% 0.21/0.52  
% 0.21/0.52  % --resolution_flag                     true
% 0.21/0.52  % --res_lit_sel                         kbo_max
% 0.21/0.52  % --res_to_prop_solver                  none
% 0.21/0.52  % --res_prop_simpl_new                  false
% 0.21/0.52  % --res_prop_simpl_given                false
% 0.21/0.52  % --res_passive_queue_type              priority_queues
% 0.21/0.52  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.52  % --res_passive_queues_freq             [15;5]
% 0.21/0.52  % --res_forward_subs                    full
% 0.21/0.52  % --res_backward_subs                   full
% 0.21/0.52  % --res_forward_subs_resolution         true
% 0.21/0.52  % --res_backward_subs_resolution        true
% 0.21/0.52  % --res_orphan_elimination              false
% 0.21/0.52  % --res_time_limit                      1000.
% 0.21/0.52  % --res_out_proof                       true
% 0.21/0.52  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_130b46.s
% 0.21/0.52  % --modulo                              true
% 0.21/0.52  
% 0.21/0.52  % ------ Combination Options
% 0.21/0.52  
% 0.21/0.52  % --comb_res_mult                       1000
% 0.21/0.52  % --comb_inst_mult                      300
% 0.21/0.52  % ------ 
% 0.21/0.52  
% 0.21/0.52  
% 0.21/0.52  
% 0.21/0.52  % ------ Proving...
% 0.21/0.52  % 
% 0.21/0.52  
% 0.21/0.52  
% 0.21/0.52  %  Resolution empty clause
% 0.21/0.52  
% 0.21/0.52  % ------                             Statistics
% 0.21/0.52  
% 0.21/0.52  % ------ General
% 0.21/0.52  
% 0.21/0.52  % num_of_input_clauses:                 12
% 0.21/0.52  % num_of_input_neg_conjectures:         2
% 0.21/0.52  % num_of_splits:                        0
% 0.21/0.52  % num_of_split_atoms:                   0
% 0.21/0.52  % num_of_sem_filtered_clauses:          0
% 0.21/0.52  % num_of_subtypes:                      0
% 0.21/0.52  % monotx_restored_types:                0
% 0.21/0.52  % sat_num_of_epr_types:                 0
% 0.21/0.52  % sat_num_of_non_cyclic_types:          0
% 0.21/0.52  % sat_guarded_non_collapsed_types:      0
% 0.21/0.52  % is_epr:                               0
% 0.21/0.52  % is_horn:                              0
% 0.21/0.52  % has_eq:                               1
% 0.21/0.52  % num_pure_diseq_elim:                  0
% 0.21/0.52  % simp_replaced_by:                     0
% 0.21/0.52  % res_preprocessed:                     4
% 0.21/0.52  % prep_upred:                           0
% 0.21/0.52  % prep_unflattend:                      0
% 0.21/0.52  % pred_elim_cands:                      0
% 0.21/0.52  % pred_elim:                            0
% 0.21/0.52  % pred_elim_cl:                         0
% 0.21/0.52  % pred_elim_cycles:                     0
% 0.21/0.52  % forced_gc_time:                       0
% 0.21/0.52  % gc_basic_clause_elim:                 0
% 0.21/0.52  % parsing_time:                         0.
% 0.21/0.52  % sem_filter_time:                      0.
% 0.21/0.52  % pred_elim_time:                       0.
% 0.21/0.52  % out_proof_time:                       0.001
% 0.21/0.52  % monotx_time:                          0.
% 0.21/0.52  % subtype_inf_time:                     0.
% 0.21/0.52  % unif_index_cands_time:                0.
% 0.21/0.52  % unif_index_add_time:                  0.
% 0.21/0.52  % total_time:                           0.024
% 0.21/0.52  % num_of_symbols:                       37
% 0.21/0.52  % num_of_terms:                         104
% 0.21/0.52  
% 0.21/0.52  % ------ Propositional Solver
% 0.21/0.52  
% 0.21/0.52  % prop_solver_calls:                    1
% 0.21/0.52  % prop_fast_solver_calls:               9
% 0.21/0.52  % prop_num_of_clauses:                  13
% 0.21/0.52  % prop_preprocess_simplified:           43
% 0.21/0.52  % prop_fo_subsumed:                     0
% 0.21/0.52  % prop_solver_time:                     0.
% 0.21/0.52  % prop_fast_solver_time:                0.
% 0.21/0.52  % prop_unsat_core_time:                 0.
% 0.21/0.52  
% 0.21/0.52  % ------ QBF 
% 0.21/0.52  
% 0.21/0.52  % qbf_q_res:                            0
% 0.21/0.52  % qbf_num_tautologies:                  0
% 0.21/0.52  % qbf_prep_cycles:                      0
% 0.21/0.52  
% 0.21/0.52  % ------ BMC1
% 0.21/0.52  
% 0.21/0.52  % bmc1_current_bound:                   -1
% 0.21/0.52  % bmc1_last_solved_bound:               -1
% 0.21/0.52  % bmc1_unsat_core_size:                 -1
% 0.21/0.52  % bmc1_unsat_core_parents_size:         -1
% 0.21/0.52  % bmc1_merge_next_fun:                  0
% 0.21/0.52  % bmc1_unsat_core_clauses_time:         0.
% 0.21/0.52  
% 0.21/0.52  % ------ Instantiation
% 0.21/0.52  
% 0.21/0.52  % inst_num_of_clauses:                  12
% 0.21/0.52  % inst_num_in_passive:                  0
% 0.21/0.52  % inst_num_in_active:                   0
% 0.21/0.52  % inst_num_in_unprocessed:              12
% 0.21/0.52  % inst_num_of_loops:                    0
% 0.21/0.52  % inst_num_of_learning_restarts:        0
% 0.21/0.52  % inst_num_moves_active_passive:        0
% 0.21/0.52  % inst_lit_activity:                    0
% 0.21/0.52  % inst_lit_activity_moves:              0
% 0.21/0.52  % inst_num_tautologies:                 0
% 0.21/0.52  % inst_num_prop_implied:                0
% 0.21/0.52  % inst_num_existing_simplified:         0
% 0.21/0.52  % inst_num_eq_res_simplified:           0
% 0.21/0.52  % inst_num_child_elim:                  0
% 0.21/0.52  % inst_num_of_dismatching_blockings:    0
% 0.21/0.52  % inst_num_of_non_proper_insts:         0
% 0.21/0.52  % inst_num_of_duplicates:               0
% 0.21/0.52  % inst_inst_num_from_inst_to_res:       0
% 0.21/0.52  % inst_dismatching_checking_time:       0.
% 0.21/0.52  
% 0.21/0.52  % ------ Resolution
% 0.21/0.52  
% 0.21/0.52  % res_num_of_clauses:                   23
% 0.21/0.52  % res_num_in_passive:                   6
% 0.21/0.52  % res_num_in_active:                    13
% 0.21/0.52  % res_num_of_loops:                     9
% 0.21/0.52  % res_forward_subset_subsumed:          7
% 0.21/0.52  % res_backward_subset_subsumed:         0
% 0.21/0.52  % res_forward_subsumed:                 0
% 0.21/0.52  % res_backward_subsumed:                1
% 0.21/0.52  % res_forward_subsumption_resolution:   1
% 0.21/0.52  % res_backward_subsumption_resolution:  1
% 0.21/0.52  % res_clause_to_clause_subsumption:     31
% 0.21/0.52  % res_orphan_elimination:               0
% 0.21/0.52  % res_tautology_del:                    0
% 0.21/0.52  % res_num_eq_res_simplified:            0
% 0.21/0.52  % res_num_sel_changes:                  0
% 0.21/0.52  % res_moves_from_active_to_pass:        0
% 0.21/0.52  
% 0.35/0.52  % Status Unsatisfiable
% 0.35/0.52  % SZS status Theorem
% 0.35/0.52  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------