TSTP Solution File: GRP044-2 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : GRP044-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n025.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 : Sat Jul 16 09:44:28 EDT 2022

% Result   : Unsatisfiable 0.90s 1.10s
% Output   : CNFRefutation 0.90s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(total_function1,axiom,
    product(X,Y,multiply(X,Y)),
    input ).

fof(total_function1_0,plain,
    ! [X,Y] :
      ( product(X,Y,multiply(X,Y))
      | $false ),
    inference(orientation,[status(thm)],[total_function1]) ).

cnf(left_inverse,axiom,
    product(inverse(X),X,identity),
    input ).

fof(left_inverse_0,plain,
    ! [X] :
      ( product(inverse(X),X,identity)
      | $false ),
    inference(orientation,[status(thm)],[left_inverse]) ).

cnf(left_identity,axiom,
    product(identity,X,X),
    input ).

fof(left_identity_0,plain,
    ! [X] :
      ( product(identity,X,X)
      | $false ),
    inference(orientation,[status(thm)],[left_identity]) ).

fof(def_lhs_atom1,axiom,
    ! [X] :
      ( lhs_atom1(X)
    <=> product(identity,X,X) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [X] :
      ( lhs_atom1(X)
      | $false ),
    inference(fold_definition,[status(thm)],[left_identity_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [X] :
      ( lhs_atom2(X)
    <=> product(inverse(X),X,identity) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [X] :
      ( lhs_atom2(X)
      | $false ),
    inference(fold_definition,[status(thm)],[left_inverse_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [Y,X] :
      ( lhs_atom3(Y,X)
    <=> product(X,Y,multiply(X,Y)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [X,Y] :
      ( lhs_atom3(Y,X)
      | $false ),
    inference(fold_definition,[status(thm)],[total_function1_0,def_lhs_atom3]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X2,X1] :
      ( lhs_atom3(X2,X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_1,axiom,
    ! [X1] :
      ( lhs_atom2(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_2,axiom,
    ! [X1] :
      ( lhs_atom1(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_3,plain,
    ! [X2,X1] : lhs_atom3(X2,X1),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_4,plain,
    ! [X1] : lhs_atom2(X1),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_5,plain,
    ! [X1] : lhs_atom1(X1),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_6,plain,
    ! [X3,X4] : lhs_atom3(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_3]) ).

fof(c_0_7,plain,
    ! [X2] : lhs_atom2(X2),
    inference(variable_rename,[status(thm)],[c_0_4]) ).

fof(c_0_8,plain,
    ! [X2] : lhs_atom1(X2),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    lhs_atom3(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    lhs_atom2(X1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    lhs_atom1(X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    lhs_atom3(X1,X2),
    c_0_9,
    [final] ).

cnf(c_0_13,plain,
    lhs_atom2(X1),
    c_0_10,
    [final] ).

cnf(c_0_14,plain,
    lhs_atom1(X1),
    c_0_11,
    [final] ).

% End CNF derivation
cnf(c_0_12_0,axiom,
    product(X2,X1,multiply(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_12,def_lhs_atom3]) ).

cnf(c_0_13_0,axiom,
    product(inverse(X1),X1,identity),
    inference(unfold_definition,[status(thm)],[c_0_13,def_lhs_atom2]) ).

cnf(c_0_14_0,axiom,
    product(identity,X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_14,def_lhs_atom1]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ~ product(X3,X2,X6)
      | ~ product(X2,X1,X5)
      | ~ product(X6,X1,X4)
      | product(X3,X5,X4) ),
    file('<stdin>',associativity1) ).

fof(c_0_1_002,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ~ product(X3,X2,X6)
      | ~ product(X2,X1,X5)
      | ~ product(X3,X5,X4)
      | product(X6,X1,X4) ),
    file('<stdin>',associativity2) ).

fof(c_0_2_003,axiom,
    ! [X1,X2,X3,X4] :
      ( ~ product(X3,X2,X1)
      | ~ product(X3,X2,X4)
      | equalish(X1,X4) ),
    file('<stdin>',total_function2) ).

fof(c_0_3_004,axiom,
    ! [X1,X2,X3,X4] :
      ( ~ equalish(X3,X2)
      | ~ product(X4,X1,X3)
      | product(X4,X1,X2) ),
    file('<stdin>',product_substitution3) ).

fof(c_0_4_005,plain,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ~ product(X3,X2,X6)
      | ~ product(X2,X1,X5)
      | ~ product(X6,X1,X4)
      | product(X3,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_5_006,plain,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ~ product(X3,X2,X6)
      | ~ product(X2,X1,X5)
      | ~ product(X3,X5,X4)
      | product(X6,X1,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_6_007,plain,
    ! [X1,X2,X3,X4] :
      ( ~ product(X3,X2,X1)
      | ~ product(X3,X2,X4)
      | equalish(X1,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_7_008,plain,
    ! [X1,X2,X3,X4] :
      ( ~ equalish(X3,X2)
      | ~ product(X4,X1,X3)
      | product(X4,X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_8_009,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ product(X9,X8,X12)
      | ~ product(X8,X7,X11)
      | ~ product(X12,X7,X10)
      | product(X9,X11,X10) ),
    inference(variable_rename,[status(thm)],[c_0_4]) ).

fof(c_0_9_010,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ product(X9,X8,X12)
      | ~ product(X8,X7,X11)
      | ~ product(X9,X11,X10)
      | product(X12,X7,X10) ),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

fof(c_0_10_011,plain,
    ! [X5,X6,X7,X8] :
      ( ~ product(X7,X6,X5)
      | ~ product(X7,X6,X8)
      | equalish(X5,X8) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_6])])]) ).

fof(c_0_11_012,plain,
    ! [X5,X6,X7,X8] :
      ( ~ equalish(X7,X6)
      | ~ product(X8,X5,X7)
      | product(X8,X5,X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_7])])]) ).

cnf(c_0_12_013,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X3)
    | ~ product(X6,X5,X2)
    | ~ product(X1,X6,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13_014,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X3)
    | ~ product(X6,X2,X5)
    | ~ product(X4,X6,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14_015,plain,
    ( equalish(X1,X2)
    | ~ product(X3,X4,X2)
    | ~ product(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( product(X1,X2,X3)
    | ~ product(X1,X2,X4)
    | ~ equalish(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X3)
    | ~ product(X6,X5,X2)
    | ~ product(X1,X6,X4) ),
    c_0_12,
    [final] ).

cnf(c_0_17,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X3)
    | ~ product(X6,X2,X5)
    | ~ product(X4,X6,X1) ),
    c_0_13,
    [final] ).

cnf(c_0_18,plain,
    ( equalish(X1,X2)
    | ~ product(X3,X4,X2)
    | ~ product(X3,X4,X1) ),
    c_0_14,
    [final] ).

cnf(c_0_19,plain,
    ( product(X1,X2,X3)
    | ~ product(X1,X2,X4)
    | ~ equalish(X4,X3) ),
    c_0_15,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_16_0,axiom,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X3)
    | ~ product(X6,X5,X2)
    | ~ product(X1,X6,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_16]) ).

cnf(c_0_16_1,axiom,
    ( ~ product(X4,X5,X3)
    | product(X1,X2,X3)
    | ~ product(X6,X5,X2)
    | ~ product(X1,X6,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_16]) ).

cnf(c_0_16_2,axiom,
    ( ~ product(X6,X5,X2)
    | ~ product(X4,X5,X3)
    | product(X1,X2,X3)
    | ~ product(X1,X6,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_16]) ).

cnf(c_0_16_3,axiom,
    ( ~ product(X1,X6,X4)
    | ~ product(X6,X5,X2)
    | ~ product(X4,X5,X3)
    | product(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_16]) ).

cnf(c_0_17_0,axiom,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X3)
    | ~ product(X6,X2,X5)
    | ~ product(X4,X6,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_17]) ).

cnf(c_0_17_1,axiom,
    ( ~ product(X4,X5,X3)
    | product(X1,X2,X3)
    | ~ product(X6,X2,X5)
    | ~ product(X4,X6,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_17]) ).

cnf(c_0_17_2,axiom,
    ( ~ product(X6,X2,X5)
    | ~ product(X4,X5,X3)
    | product(X1,X2,X3)
    | ~ product(X4,X6,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_17]) ).

cnf(c_0_17_3,axiom,
    ( ~ product(X4,X6,X1)
    | ~ product(X6,X2,X5)
    | ~ product(X4,X5,X3)
    | product(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_17]) ).

cnf(c_0_18_0,axiom,
    ( equalish(X1,X2)
    | ~ product(X3,X4,X2)
    | ~ product(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_18]) ).

cnf(c_0_18_1,axiom,
    ( ~ product(X3,X4,X2)
    | equalish(X1,X2)
    | ~ product(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_18]) ).

cnf(c_0_18_2,axiom,
    ( ~ product(X3,X4,X1)
    | ~ product(X3,X4,X2)
    | equalish(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_18]) ).

cnf(c_0_19_0,axiom,
    ( product(X1,X2,X3)
    | ~ product(X1,X2,X4)
    | ~ equalish(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_19]) ).

cnf(c_0_19_1,axiom,
    ( ~ product(X1,X2,X4)
    | product(X1,X2,X3)
    | ~ equalish(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_19]) ).

cnf(c_0_19_2,axiom,
    ( ~ equalish(X4,X3)
    | ~ product(X1,X2,X4)
    | product(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_19]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_016,negated_conjecture,
    ~ product(b,c,result),
    file('<stdin>',prove_product_with_b) ).

fof(c_0_1_017,hypothesis,
    product(a,c,result),
    file('<stdin>',product_with_a) ).

fof(c_0_2_018,hypothesis,
    equalish(a,b),
    file('<stdin>',a_equals_b) ).

fof(c_0_3_019,negated_conjecture,
    ~ product(b,c,result),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_4_020,hypothesis,
    product(a,c,result),
    c_0_1 ).

fof(c_0_5_021,hypothesis,
    equalish(a,b),
    c_0_2 ).

fof(c_0_6_022,negated_conjecture,
    ~ product(b,c,result),
    c_0_3 ).

fof(c_0_7_023,hypothesis,
    product(a,c,result),
    c_0_4 ).

fof(c_0_8_024,hypothesis,
    equalish(a,b),
    c_0_5 ).

cnf(c_0_9_025,negated_conjecture,
    ~ product(b,c,result),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10_026,hypothesis,
    product(a,c,result),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11_027,hypothesis,
    equalish(a,b),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12_028,negated_conjecture,
    ~ product(b,c,result),
    c_0_9,
    [final] ).

cnf(c_0_13_029,hypothesis,
    product(a,c,result),
    c_0_10,
    [final] ).

cnf(c_0_14_030,hypothesis,
    equalish(a,b),
    c_0_11,
    [final] ).

% End CNF derivation

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

cnf(c_12,plain,
    ( ~ equalish(X0,X1)
    | product(X2,X3,X1)
    | ~ product(X2,X3,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_7d330d.p',c_0_19_1) ).

cnf(c_52,plain,
    ( ~ equalish(X0,X1)
    | product(X2,X3,X1)
    | ~ product(X2,X3,X0) ),
    inference(copy,[status(esa)],[c_12]) ).

cnf(c_28136,plain,
    ( product(identity,X0,X1)
    | ~ product(identity,X0,X0)
    | ~ equalish(X0,X1) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_30217,plain,
    ( product(identity,a,b)
    | ~ product(identity,a,a)
    | ~ equalish(a,b) ),
    inference(instantiation,[status(thm)],[c_28136]) ).

cnf(c_7,plain,
    ( product(X0,X1,X2)
    | ~ product(X3,X4,X2)
    | ~ product(X5,X1,X4)
    | ~ product(X3,X5,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_7d330d.p',c_0_17_3) ).

cnf(c_47,plain,
    ( product(X0,X1,X2)
    | ~ product(X3,X4,X2)
    | ~ product(X5,X1,X4)
    | ~ product(X3,X5,X0) ),
    inference(copy,[status(esa)],[c_7]) ).

cnf(c_28556,plain,
    ( ~ product(identity,X0,X0)
    | ~ product(identity,X1,X2)
    | product(X2,X3,X0)
    | ~ product(X1,X3,X0) ),
    inference(instantiation,[status(thm)],[c_47]) ).

cnf(c_29363,plain,
    ( ~ product(identity,result,result)
    | ~ product(identity,a,X0)
    | ~ product(a,c,result)
    | product(X0,c,result) ),
    inference(instantiation,[status(thm)],[c_28556]) ).

cnf(c_29840,plain,
    ( ~ product(identity,result,result)
    | ~ product(identity,a,b)
    | product(b,c,result)
    | ~ product(a,c,result) ),
    inference(instantiation,[status(thm)],[c_29363]) ).

cnf(c_14,plain,
    product(identity,X0,X0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_7d330d.p',c_0_14_0) ).

cnf(c_54,plain,
    product(identity,X0,X0),
    inference(copy,[status(esa)],[c_14]) ).

cnf(c_28238,plain,
    product(identity,result,result),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_22,plain,
    product(identity,a,a),
    inference(instantiation,[status(thm)],[c_14]) ).

cnf(c_18,plain,
    product(a,c,result),
    file('/export/starexec/sandbox/tmp/iprover_modulo_7d330d.p',c_0_13) ).

cnf(c_19,plain,
    equalish(a,b),
    file('/export/starexec/sandbox/tmp/iprover_modulo_7d330d.p',c_0_14) ).

cnf(c_17,negated_conjecture,
    ~ product(b,c,result),
    file('/export/starexec/sandbox/tmp/iprover_modulo_7d330d.p',c_0_12) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_30217,c_29840,c_28238,c_22,c_18,c_19,c_17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP044-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n025.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 : Tue Jun 14 02:41:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.20/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41  % Orientation found
% 0.20/0.41  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_eae139.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_7d330d.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_d0f0bc | 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_eae139.s
% 0.20/0.43  % --modulo                              true
% 0.20/0.43  
% 0.20/0.43  % ------ Combination Options
% 0.20/0.43  
% 0.20/0.43  % --comb_res_mult                       1000
% 0.20/0.43  % --comb_inst_mult                      300
% 0.20/0.43  % ------ 
% 0.20/0.43  
% 0.20/0.43  % ------ Parsing...% successful
% 0.20/0.43  
% 0.20/0.43  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe:1:0s pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.20/0.43  
% 0.20/0.43  % ------ Proving...
% 0.20/0.43  % ------ Problem Properties 
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % EPR                                   false
% 0.20/0.43  % Horn                                  true
% 0.20/0.43  % Has equality                          false
% 0.20/0.43  
% 0.20/0.43  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  % % ------ Current options:
% 0.20/0.43  
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.20/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.43  % --bmc1_dump_file                      -
% 0.20/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.44  % --bmc1_ucm_extend_mode                1
% 0.20/0.44  % --bmc1_ucm_init_mode                  2
% 0.20/0.44  % --bmc1_ucm_cone_mode                  none
% 0.20/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.44  % --bmc1_ucm_relax_model                4
% 0.20/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.44  % --bmc1_ucm_layered_model              none
% 0.20/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.44  
% 0.20/0.44  % ------ AIG Options
% 0.20/0.44  
% 0.20/0.44  % --aig_mode                            false
% 0.20/0.44  
% 0.20/0.44  % ------ Instantiation Options
% 0.20/0.44  
% 0.20/0.44  % --instantiation_flag                  true
% 0.20/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44  % --inst_solver_per_active              750
% 0.20/0.44  % --inst_solver_calls_frac              0.5
% 0.20/0.44  % --inst_passive_queue_type             priority_queues
% 0.20/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44  % --inst_passive_queues_freq            [25;2]
% 0.20/0.44  % --inst_dismatching                    true
% 0.20/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.44  % --inst_prop_sim_given                 true
% 0.90/1.10  % --inst_prop_sim_new                   false
% 0.90/1.10  % --inst_orphan_elimination             true
% 0.90/1.10  % --inst_learning_loop_flag             true
% 0.90/1.10  % --inst_learning_start                 3000
% 0.90/1.10  % --inst_learning_factor                2
% 0.90/1.10  % --inst_start_prop_sim_after_learn     3
% 0.90/1.10  % --inst_sel_renew                      solver
% 0.90/1.10  % --inst_lit_activity_flag              true
% 0.90/1.10  % --inst_out_proof                      true
% 0.90/1.10  
% 0.90/1.10  % ------ Resolution Options
% 0.90/1.10  
% 0.90/1.10  % --resolution_flag                     true
% 0.90/1.10  % --res_lit_sel                         kbo_max
% 0.90/1.10  % --res_to_prop_solver                  none
% 0.90/1.10  % --res_prop_simpl_new                  false
% 0.90/1.10  % --res_prop_simpl_given                false
% 0.90/1.10  % --res_passive_queue_type              priority_queues
% 0.90/1.10  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.90/1.10  % --res_passive_queues_freq             [15;5]
% 0.90/1.10  % --res_forward_subs                    full
% 0.90/1.10  % --res_backward_subs                   full
% 0.90/1.10  % --res_forward_subs_resolution         true
% 0.90/1.10  % --res_backward_subs_resolution        true
% 0.90/1.10  % --res_orphan_elimination              false
% 0.90/1.10  % --res_time_limit                      1000.
% 0.90/1.10  % --res_out_proof                       true
% 0.90/1.10  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_eae139.s
% 0.90/1.10  % --modulo                              true
% 0.90/1.10  
% 0.90/1.10  % ------ Combination Options
% 0.90/1.10  
% 0.90/1.10  % --comb_res_mult                       1000
% 0.90/1.10  % --comb_inst_mult                      300
% 0.90/1.10  % ------ 
% 0.90/1.10  
% 0.90/1.10  
% 0.90/1.10  
% 0.90/1.10  % ------ Proving...
% 0.90/1.10  % 
% 0.90/1.10  
% 0.90/1.10  
% 0.90/1.10  % ------                             Statistics
% 0.90/1.10  
% 0.90/1.10  % ------ General
% 0.90/1.10  
% 0.90/1.10  % num_of_input_clauses:                 20
% 0.90/1.10  % num_of_input_neg_conjectures:         1
% 0.90/1.10  % num_of_splits:                        0
% 0.90/1.10  % num_of_split_atoms:                   0
% 0.90/1.10  % num_of_sem_filtered_clauses:          0
% 0.90/1.10  % num_of_subtypes:                      0
% 0.90/1.10  % monotx_restored_types:                0
% 0.90/1.10  % sat_num_of_epr_types:                 0
% 0.90/1.10  % sat_num_of_non_cyclic_types:          0
% 0.90/1.10  % sat_guarded_non_collapsed_types:      0
% 0.90/1.10  % is_epr:                               0
% 0.90/1.10  % is_horn:                              1
% 0.90/1.10  % has_eq:                               0
% 0.90/1.10  % num_pure_diseq_elim:                  0
% 0.90/1.10  % simp_replaced_by:                     0
% 0.90/1.10  % res_preprocessed:                     4
% 0.90/1.10  % prep_upred:                           0
% 0.90/1.10  % prep_unflattend:                      0
% 0.90/1.10  % pred_elim_cands:                      1
% 0.90/1.10  % pred_elim:                            1
% 0.90/1.10  % pred_elim_cl:                         1
% 0.90/1.10  % pred_elim_cycles:                     2
% 0.90/1.10  % forced_gc_time:                       0
% 0.90/1.10  % gc_basic_clause_elim:                 0
% 0.90/1.10  % parsing_time:                         0.001
% 0.90/1.10  % sem_filter_time:                      0.
% 0.90/1.10  % pred_elim_time:                       0.
% 0.90/1.10  % out_proof_time:                       0.
% 0.90/1.10  % monotx_time:                          0.
% 0.90/1.10  % subtype_inf_time:                     0.
% 0.90/1.10  % unif_index_cands_time:                0.004
% 0.90/1.10  % unif_index_add_time:                  0.002
% 0.90/1.10  % total_time:                           0.687
% 0.90/1.10  % num_of_symbols:                       34
% 0.90/1.10  % num_of_terms:                         9236
% 0.90/1.10  
% 0.90/1.10  % ------ Propositional Solver
% 0.90/1.10  
% 0.90/1.10  % prop_solver_calls:                    10
% 0.90/1.10  % prop_fast_solver_calls:               7
% 0.90/1.10  % prop_num_of_clauses:                  794
% 0.90/1.10  % prop_preprocess_simplified:           1447
% 0.90/1.10  % prop_fo_subsumed:                     0
% 0.90/1.10  % prop_solver_time:                     0.
% 0.90/1.10  % prop_fast_solver_time:                0.
% 0.90/1.10  % prop_unsat_core_time:                 0.
% 0.90/1.10  
% 0.90/1.10  % ------ QBF 
% 0.90/1.10  
% 0.90/1.10  % qbf_q_res:                            0
% 0.90/1.10  % qbf_num_tautologies:                  0
% 0.90/1.10  % qbf_prep_cycles:                      0
% 0.90/1.10  
% 0.90/1.10  % ------ BMC1
% 0.90/1.10  
% 0.90/1.10  % bmc1_current_bound:                   -1
% 0.90/1.10  % bmc1_last_solved_bound:               -1
% 0.90/1.10  % bmc1_unsat_core_size:                 -1
% 0.90/1.10  % bmc1_unsat_core_parents_size:         -1
% 0.90/1.10  % bmc1_merge_next_fun:                  0
% 0.90/1.10  % bmc1_unsat_core_clauses_time:         0.
% 0.90/1.10  
% 0.90/1.10  % ------ Instantiation
% 0.90/1.10  
% 0.90/1.10  % inst_num_of_clauses:                  635
% 0.90/1.10  % inst_num_in_passive:                  347
% 0.90/1.10  % inst_num_in_active:                   271
% 0.90/1.10  % inst_num_in_unprocessed:              0
% 0.90/1.10  % inst_num_of_loops:                    300
% 0.90/1.10  % inst_num_of_learning_restarts:        0
% 0.90/1.10  % inst_num_moves_active_passive:        13
% 0.90/1.10  % inst_lit_activity:                    135
% 0.90/1.10  % inst_lit_activity_moves:              0
% 0.90/1.10  % inst_num_tautologies:                 14
% 0.90/1.10  % inst_num_prop_implied:                0
% 0.90/1.10  % inst_num_existing_simplified:         0
% 0.90/1.10  % inst_num_eq_res_simplified:           0
% 0.90/1.10  % inst_num_child_elim:                  0
% 0.90/1.10  % inst_num_of_dismatching_blockings:    774
% 0.90/1.10  % inst_num_of_non_proper_insts:         1330
% 0.90/1.10  % inst_num_of_duplicates:               481
% 0.90/1.10  % inst_inst_num_from_inst_to_res:       0
% 0.90/1.10  % inst_dismatching_checking_time:       0.001
% 0.90/1.10  
% 0.90/1.10  % ------ Resolution
% 0.90/1.10  
% 0.90/1.10  % res_num_of_clauses:                   10017
% 0.90/1.10  % res_num_in_passive:                   9107
% 0.90/1.10  % res_num_in_active:                    913
% 0.90/1.10  % res_num_of_loops:                     1000
% 0.90/1.10  % res_forward_subset_subsumed:          586
% 0.90/1.10  % res_backward_subset_subsumed:         9
% 0.90/1.10  % res_forward_subsumed:                 99
% 0.90/1.10  % res_backward_subsumed:                2
% 0.90/1.10  % res_forward_subsumption_resolution:   20
% 0.90/1.10  % res_backward_subsumption_resolution:  0
% 0.90/1.10  % res_clause_to_clause_subsumption:     50040
% 0.90/1.10  % res_orphan_elimination:               0
% 0.90/1.10  % res_tautology_del:                    36
% 0.90/1.10  % res_num_eq_res_simplified:            0
% 0.90/1.10  % res_num_sel_changes:                  0
% 0.90/1.10  % res_moves_from_active_to_pass:        0
% 0.90/1.10  
% 0.90/1.10  % Status Unsatisfiable
% 0.90/1.10  % SZS status Unsatisfiable
% 0.90/1.10  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------