TSTP Solution File: LCL077-2 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : LCL077-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n020.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 : Sun Jul 17 11:30:19 EDT 2022

% Result   : Unsatisfiable 3.81s 4.03s
% Output   : CNFRefutation 3.81s
% 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(cn_49,axiom,
    is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))),
    input ).

fof(cn_49_0,plain,
    ! [X,Y] :
      ( is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X)))
      | $false ),
    inference(orientation,[status(thm)],[cn_49]) ).

cnf(cn_35,axiom,
    is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))),
    input ).

fof(cn_35_0,plain,
    ! [X,Y,Z] :
      ( is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z))))
      | $false ),
    inference(orientation,[status(thm)],[cn_35]) ).

cnf(cn_18,axiom,
    is_a_theorem(implies(X,implies(Y,X))),
    input ).

fof(cn_18_0,plain,
    ! [X,Y] :
      ( is_a_theorem(implies(X,implies(Y,X)))
      | $false ),
    inference(orientation,[status(thm)],[cn_18]) ).

fof(def_lhs_atom1,axiom,
    ! [Y,X] :
      ( lhs_atom1(Y,X)
    <=> is_a_theorem(implies(X,implies(Y,X))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [X,Y] :
      ( lhs_atom1(Y,X)
      | $false ),
    inference(fold_definition,[status(thm)],[cn_18_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [Z,Y,X] :
      ( lhs_atom2(Z,Y,X)
    <=> is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [X,Y,Z] :
      ( lhs_atom2(Z,Y,X)
      | $false ),
    inference(fold_definition,[status(thm)],[cn_35_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [Y,X] :
      ( lhs_atom3(Y,X)
    <=> is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [X,Y] :
      ( lhs_atom3(Y,X)
      | $false ),
    inference(fold_definition,[status(thm)],[cn_49_0,def_lhs_atom3]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom2(X3,X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_1,axiom,
    ! [X1,X2] :
      ( lhs_atom3(X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_2,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_3,plain,
    ! [X3,X1,X2] : lhs_atom2(X3,X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_4,plain,
    ! [X1,X2] : lhs_atom3(X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_5,plain,
    ! [X1,X2] : lhs_atom1(X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_6,plain,
    ! [X4,X5,X6] : lhs_atom2(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_3]) ).

fof(c_0_7,plain,
    ! [X3,X4] : lhs_atom3(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_4]) ).

fof(c_0_8,plain,
    ! [X3,X4] : lhs_atom1(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    lhs_atom2(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    lhs_atom3(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    lhs_atom1(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    lhs_atom2(X1,X2,X3),
    c_0_9,
    [final] ).

cnf(c_0_13,plain,
    lhs_atom3(X1,X2),
    c_0_10,
    [final] ).

cnf(c_0_14,plain,
    lhs_atom1(X1,X2),
    c_0_11,
    [final] ).

% End CNF derivation
cnf(c_0_12_0,axiom,
    is_a_theorem(implies(implies(X3,implies(X2,X1)),implies(implies(X3,X2),implies(X3,X1)))),
    inference(unfold_definition,[status(thm)],[c_0_12,def_lhs_atom2]) ).

cnf(c_0_13_0,axiom,
    is_a_theorem(implies(implies(not(X2),not(X1)),implies(X1,X2))),
    inference(unfold_definition,[status(thm)],[c_0_13,def_lhs_atom3]) ).

cnf(c_0_14_0,axiom,
    is_a_theorem(implies(X2,implies(X1,X2))),
    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] :
      ( ~ is_a_theorem(implies(X3,X2))
      | ~ is_a_theorem(implies(X2,X1))
      | is_a_theorem(implies(X3,X1)) ),
    file('<stdin>',transitivity) ).

fof(c_0_1_002,axiom,
    ! [X4,X5] :
      ( ~ is_a_theorem(implies(X5,X4))
      | ~ is_a_theorem(X5)
      | is_a_theorem(X4) ),
    file('<stdin>',condensed_detachment) ).

fof(c_0_2_003,plain,
    ! [X1,X2,X3] :
      ( ~ is_a_theorem(implies(X3,X2))
      | ~ is_a_theorem(implies(X2,X1))
      | is_a_theorem(implies(X3,X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_3_004,plain,
    ! [X4,X5] :
      ( ~ is_a_theorem(implies(X5,X4))
      | ~ is_a_theorem(X5)
      | is_a_theorem(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_4_005,plain,
    ! [X4,X5,X6] :
      ( ~ is_a_theorem(implies(X6,X5))
      | ~ is_a_theorem(implies(X5,X4))
      | is_a_theorem(implies(X6,X4)) ),
    inference(variable_rename,[status(thm)],[c_0_2]) ).

fof(c_0_5_006,plain,
    ! [X6,X7] :
      ( ~ is_a_theorem(implies(X7,X6))
      | ~ is_a_theorem(X7)
      | is_a_theorem(X6) ),
    inference(variable_rename,[status(thm)],[c_0_3]) ).

cnf(c_0_6_007,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X3,X2))
    | ~ is_a_theorem(implies(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_008,plain,
    ( is_a_theorem(X1)
    | ~ is_a_theorem(X2)
    | ~ is_a_theorem(implies(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8_009,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X3,X2))
    | ~ is_a_theorem(implies(X1,X3)) ),
    c_0_6,
    [final] ).

cnf(c_0_9_010,plain,
    ( is_a_theorem(X1)
    | ~ is_a_theorem(X2)
    | ~ is_a_theorem(implies(X2,X1)) ),
    c_0_7,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_8_0,axiom,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X3,X2))
    | ~ is_a_theorem(implies(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8]) ).

cnf(c_0_8_1,axiom,
    ( ~ is_a_theorem(implies(X3,X2))
    | is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_8]) ).

cnf(c_0_8_2,axiom,
    ( ~ is_a_theorem(implies(X1,X3))
    | ~ is_a_theorem(implies(X3,X2))
    | is_a_theorem(implies(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_8]) ).

cnf(c_0_9_0,axiom,
    ( is_a_theorem(X1)
    | ~ is_a_theorem(X2)
    | ~ is_a_theorem(implies(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_9]) ).

cnf(c_0_9_1,axiom,
    ( ~ is_a_theorem(X2)
    | is_a_theorem(X1)
    | ~ is_a_theorem(implies(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_9]) ).

cnf(c_0_9_2,axiom,
    ( ~ is_a_theorem(implies(X2,X1))
    | ~ is_a_theorem(X2)
    | is_a_theorem(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_9]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_011,negated_conjecture,
    ~ is_a_theorem(implies(not(not(a)),a)),
    file('<stdin>',prove_cn_39) ).

fof(c_0_1_012,negated_conjecture,
    ~ is_a_theorem(implies(not(not(a)),a)),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_2_013,negated_conjecture,
    ~ is_a_theorem(implies(not(not(a)),a)),
    c_0_1 ).

cnf(c_0_3_014,negated_conjecture,
    ~ is_a_theorem(implies(not(not(a)),a)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_015,negated_conjecture,
    ~ is_a_theorem(implies(not(not(a)),a)),
    c_0_3,
    [final] ).

% End CNF derivation

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

cnf(c_6,plain,
    is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3b34c3.p',c_0_14_0) ).

cnf(c_26,plain,
    is_a_theorem(implies(X0,implies(X1,X0))),
    inference(copy,[status(esa)],[c_6]) ).

cnf(c_15146,plain,
    is_a_theorem(implies(not(X0),implies(not(X1),not(X0)))),
    inference(instantiation,[status(thm)],[c_26]) ).

cnf(c_45674,plain,
    is_a_theorem(implies(not(not(a)),implies(not(X0),not(not(a))))),
    inference(instantiation,[status(thm)],[c_15146]) ).

cnf(c_83242,plain,
    is_a_theorem(implies(not(not(a)),implies(not(not(implies(X0,X1))),not(not(a))))),
    inference(instantiation,[status(thm)],[c_45674]) ).

cnf(c_83243,plain,
    is_a_theorem(implies(not(not(a)),implies(not(not(implies(a,a))),not(not(a))))),
    inference(instantiation,[status(thm)],[c_83242]) ).

cnf(c_8,plain,
    is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3b34c3.p',c_0_12_0) ).

cnf(c_28,plain,
    is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    inference(copy,[status(esa)],[c_8]) ).

cnf(c_17709,plain,
    is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X3)),implies(implies(X0,implies(X1,X2)),implies(X0,X3)))),
    inference(instantiation,[status(thm)],[c_28]) ).

cnf(c_48603,plain,
    is_a_theorem(implies(implies(not(not(a)),implies(implies(X0,X1),a)),implies(implies(not(not(a)),implies(X0,X1)),implies(not(not(a)),a)))),
    inference(instantiation,[status(thm)],[c_17709]) ).

cnf(c_48605,plain,
    is_a_theorem(implies(implies(not(not(a)),implies(implies(a,a),a)),implies(implies(not(not(a)),implies(a,a)),implies(not(not(a)),a)))),
    inference(instantiation,[status(thm)],[c_48603]) ).

cnf(c_15052,plain,
    is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
    inference(instantiation,[status(thm)],[c_26]) ).

cnf(c_47569,plain,
    is_a_theorem(implies(implies(X0,X1),implies(not(not(a)),implies(X0,X1)))),
    inference(instantiation,[status(thm)],[c_15052]) ).

cnf(c_47570,plain,
    is_a_theorem(implies(implies(a,a),implies(not(not(a)),implies(a,a)))),
    inference(instantiation,[status(thm)],[c_47569]) ).

cnf(c_0,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(implies(X0,X2)) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3b34c3.p',c_0_8_0) ).

cnf(c_20,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(implies(X0,X2)) ),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_15028,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | ~ is_a_theorem(implies(X1,implies(X0,X1)))
    | is_a_theorem(implies(X1,X2)) ),
    inference(instantiation,[status(thm)],[c_20]) ).

cnf(c_15066,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
    | ~ is_a_theorem(implies(X1,implies(X0,X1)))
    | is_a_theorem(implies(X1,implies(X2,X3))) ),
    inference(instantiation,[status(thm)],[c_15028]) ).

cnf(c_16546,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X3),X4)))
    | is_a_theorem(implies(X1,implies(implies(X2,X3),X4)))
    | ~ is_a_theorem(implies(X1,implies(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_15066]) ).

cnf(c_24820,plain,
    ( ~ is_a_theorem(implies(implies(X0,not(not(a))),implies(implies(X1,X2),a)))
    | is_a_theorem(implies(not(not(a)),implies(implies(X1,X2),a)))
    | ~ is_a_theorem(implies(not(not(a)),implies(X0,not(not(a))))) ),
    inference(instantiation,[status(thm)],[c_16546]) ).

cnf(c_46351,plain,
    ( ~ is_a_theorem(implies(implies(not(not(implies(X0,X1))),not(not(a))),implies(implies(X0,X1),a)))
    | is_a_theorem(implies(not(not(a)),implies(implies(X0,X1),a)))
    | ~ is_a_theorem(implies(not(not(a)),implies(not(not(implies(X0,X1))),not(not(a))))) ),
    inference(instantiation,[status(thm)],[c_24820]) ).

cnf(c_46353,plain,
    ( ~ is_a_theorem(implies(implies(not(not(implies(a,a))),not(not(a))),implies(implies(a,a),a)))
    | is_a_theorem(implies(not(not(a)),implies(implies(a,a),a)))
    | ~ is_a_theorem(implies(not(not(a)),implies(not(not(implies(a,a))),not(not(a))))) ),
    inference(instantiation,[status(thm)],[c_46351]) ).

cnf(c_5,plain,
    ( is_a_theorem(X0)
    | ~ is_a_theorem(X1)
    | ~ is_a_theorem(implies(X1,X0)) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3b34c3.p',c_0_9_2) ).

cnf(c_25,plain,
    ( is_a_theorem(X0)
    | ~ is_a_theorem(X1)
    | ~ is_a_theorem(implies(X1,X0)) ),
    inference(copy,[status(esa)],[c_5]) ).

cnf(c_19231,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(X2) ),
    inference(instantiation,[status(thm)],[c_25]) ).

cnf(c_20968,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1))))
    | is_a_theorem(implies(X2,implies(X0,X1)))
    | ~ is_a_theorem(implies(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_19231]) ).

cnf(c_40037,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),implies(not(not(a)),implies(X0,X1))))
    | is_a_theorem(implies(not(not(a)),implies(X0,X1)))
    | ~ is_a_theorem(implies(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_20968]) ).

cnf(c_40038,plain,
    ( ~ is_a_theorem(implies(implies(a,a),implies(not(not(a)),implies(a,a))))
    | is_a_theorem(implies(not(not(a)),implies(a,a)))
    | ~ is_a_theorem(implies(a,a)) ),
    inference(instantiation,[status(thm)],[c_40037]) ).

cnf(c_7,plain,
    is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3b34c3.p',c_0_13_0) ).

cnf(c_27,plain,
    is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    inference(copy,[status(esa)],[c_7]) ).

cnf(c_15294,plain,
    is_a_theorem(implies(implies(not(not(X0)),not(not(X1))),implies(not(X1),not(X0)))),
    inference(instantiation,[status(thm)],[c_27]) ).

cnf(c_24056,plain,
    is_a_theorem(implies(implies(not(not(implies(X0,X1))),not(not(X2))),implies(not(X2),not(implies(X0,X1))))),
    inference(instantiation,[status(thm)],[c_15294]) ).

cnf(c_24057,plain,
    is_a_theorem(implies(implies(not(not(implies(a,a))),not(not(a))),implies(not(a),not(implies(a,a))))),
    inference(instantiation,[status(thm)],[c_24056]) ).

cnf(c_15062,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))
    | ~ is_a_theorem(implies(X0,implies(X1,X2)))
    | is_a_theorem(X3) ),
    inference(instantiation,[status(thm)],[c_25]) ).

cnf(c_15108,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2))))
    | is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
    | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(instantiation,[status(thm)],[c_15062]) ).

cnf(c_15748,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X3)),implies(implies(X0,implies(X1,X2)),implies(X0,X3))))
    | is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X3)))
    | ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) ),
    inference(instantiation,[status(thm)],[c_15108]) ).

cnf(c_20937,plain,
    ( ~ is_a_theorem(implies(implies(not(not(a)),implies(implies(X0,X1),a)),implies(implies(not(not(a)),implies(X0,X1)),implies(not(not(a)),a))))
    | is_a_theorem(implies(implies(not(not(a)),implies(X0,X1)),implies(not(not(a)),a)))
    | ~ is_a_theorem(implies(not(not(a)),implies(implies(X0,X1),a))) ),
    inference(instantiation,[status(thm)],[c_15748]) ).

cnf(c_20939,plain,
    ( ~ is_a_theorem(implies(implies(not(not(a)),implies(implies(a,a),a)),implies(implies(not(not(a)),implies(a,a)),implies(not(not(a)),a))))
    | is_a_theorem(implies(implies(not(not(a)),implies(a,a)),implies(not(not(a)),a)))
    | ~ is_a_theorem(implies(not(not(a)),implies(implies(a,a),a))) ),
    inference(instantiation,[status(thm)],[c_20937]) ).

cnf(c_15138,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,X4)))
    | ~ is_a_theorem(implies(X0,implies(X1,X2)))
    | is_a_theorem(implies(X3,X4)) ),
    inference(instantiation,[status(thm)],[c_15062]) ).

cnf(c_19235,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(not(not(a)),a)))
    | is_a_theorem(implies(not(not(a)),a))
    | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(instantiation,[status(thm)],[c_15138]) ).

cnf(c_20936,plain,
    ( ~ is_a_theorem(implies(implies(not(not(a)),implies(X0,X1)),implies(not(not(a)),a)))
    | ~ is_a_theorem(implies(not(not(a)),implies(X0,X1)))
    | is_a_theorem(implies(not(not(a)),a)) ),
    inference(instantiation,[status(thm)],[c_19235]) ).

cnf(c_20938,plain,
    ( ~ is_a_theorem(implies(implies(not(not(a)),implies(a,a)),implies(not(not(a)),a)))
    | ~ is_a_theorem(implies(not(not(a)),implies(a,a)))
    | is_a_theorem(implies(not(not(a)),a)) ),
    inference(instantiation,[status(thm)],[c_20936]) ).

cnf(c_15030,plain,
    ( ~ is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
    | is_a_theorem(implies(implies(not(X0),not(X1)),X2))
    | ~ is_a_theorem(implies(implies(X1,X0),X2)) ),
    inference(instantiation,[status(thm)],[c_20]) ).

cnf(c_15117,plain,
    ( ~ is_a_theorem(implies(implies(not(not(X0)),not(not(X1))),implies(not(X1),not(X0))))
    | is_a_theorem(implies(implies(not(not(X0)),not(not(X1))),implies(X0,X1)))
    | ~ is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
    inference(instantiation,[status(thm)],[c_15030]) ).

cnf(c_18853,plain,
    ( is_a_theorem(implies(implies(not(not(implies(X0,X1))),not(not(X2))),implies(implies(X0,X1),X2)))
    | ~ is_a_theorem(implies(implies(not(not(implies(X0,X1))),not(not(X2))),implies(not(X2),not(implies(X0,X1)))))
    | ~ is_a_theorem(implies(implies(not(X2),not(implies(X0,X1))),implies(implies(X0,X1),X2))) ),
    inference(instantiation,[status(thm)],[c_15117]) ).

cnf(c_18855,plain,
    ( is_a_theorem(implies(implies(not(not(implies(a,a))),not(not(a))),implies(implies(a,a),a)))
    | ~ is_a_theorem(implies(implies(not(not(implies(a,a))),not(not(a))),implies(not(a),not(implies(a,a)))))
    | ~ is_a_theorem(implies(implies(not(a),not(implies(a,a))),implies(implies(a,a),a))) ),
    inference(instantiation,[status(thm)],[c_18853]) ).

cnf(c_17686,plain,
    is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X0)),implies(implies(X0,implies(X1,X2)),implies(X0,X0)))),
    inference(instantiation,[status(thm)],[c_28]) ).

cnf(c_17687,plain,
    is_a_theorem(implies(implies(a,implies(implies(a,a),a)),implies(implies(a,implies(a,a)),implies(a,a)))),
    inference(instantiation,[status(thm)],[c_17686]) ).

cnf(c_16540,plain,
    is_a_theorem(implies(implies(not(X0),not(implies(X1,X2))),implies(implies(X1,X2),X0))),
    inference(instantiation,[status(thm)],[c_27]) ).

cnf(c_16542,plain,
    is_a_theorem(implies(implies(not(a),not(implies(a,a))),implies(implies(a,a),a))),
    inference(instantiation,[status(thm)],[c_16540]) ).

cnf(c_16501,plain,
    is_a_theorem(implies(X0,implies(implies(X1,X2),X0))),
    inference(instantiation,[status(thm)],[c_26]) ).

cnf(c_16502,plain,
    is_a_theorem(implies(a,implies(implies(a,a),a))),
    inference(instantiation,[status(thm)],[c_16501]) ).

cnf(c_3,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3b34c3.p',c_0_9_0) ).

cnf(c_23,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(X1) ),
    inference(copy,[status(esa)],[c_3]) ).

cnf(c_15020,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
    | ~ is_a_theorem(implies(X0,implies(X1,X0)))
    | is_a_theorem(X2) ),
    inference(instantiation,[status(thm)],[c_23]) ).

cnf(c_15049,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),implies(implies(X0,X1),implies(X0,X0))))
    | is_a_theorem(implies(implies(X0,X1),implies(X0,X0)))
    | ~ is_a_theorem(implies(X0,implies(X1,X0))) ),
    inference(instantiation,[status(thm)],[c_15020]) ).

cnf(c_15724,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X0)),implies(implies(X0,implies(X1,X2)),implies(X0,X0))))
    | is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X0)))
    | ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X0))) ),
    inference(instantiation,[status(thm)],[c_15049]) ).

cnf(c_15725,plain,
    ( ~ is_a_theorem(implies(implies(a,implies(implies(a,a),a)),implies(implies(a,implies(a,a)),implies(a,a))))
    | is_a_theorem(implies(implies(a,implies(a,a)),implies(a,a)))
    | ~ is_a_theorem(implies(a,implies(implies(a,a),a))) ),
    inference(instantiation,[status(thm)],[c_15724]) ).

cnf(c_15140,plain,
    ( ~ is_a_theorem(implies(implies(a,implies(a,a)),implies(a,a)))
    | ~ is_a_theorem(implies(a,implies(a,a)))
    | is_a_theorem(implies(a,a)) ),
    inference(instantiation,[status(thm)],[c_15138]) ).

cnf(c_12,plain,
    is_a_theorem(implies(a,implies(a,a))),
    inference(instantiation,[status(thm)],[c_6]) ).

cnf(c_9,negated_conjecture,
    ~ is_a_theorem(implies(not(not(a)),a)),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3b34c3.p',c_0_4) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_83243,c_48605,c_47570,c_46353,c_40038,c_24057,c_20939,c_20938,c_18855,c_17687,c_16542,c_16502,c_15725,c_15140,c_12,c_9]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : LCL077-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.14  % Command  : iprover_modulo %s %d
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul  4 11:04:30 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running in mono-core mode
% 0.22/0.43  % Orienting using strategy Equiv(ClausalAll)
% 0.22/0.43  % Orientation found
% 0.22/0.43  % 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_bdb0b2.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_3b34c3.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_5437f6 | grep -v "SZS"
% 0.22/0.45  
% 0.22/0.45  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.22/0.45  
% 0.22/0.45  % 
% 0.22/0.45  % ------  iProver source info 
% 0.22/0.45  
% 0.22/0.45  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.22/0.45  % git: non_committed_changes: true
% 0.22/0.45  % git: last_make_outside_of_git: true
% 0.22/0.45  
% 0.22/0.45  % 
% 0.22/0.45  % ------ Input Options
% 0.22/0.45  
% 0.22/0.45  % --out_options                         all
% 0.22/0.45  % --tptp_safe_out                       true
% 0.22/0.45  % --problem_path                        ""
% 0.22/0.45  % --include_path                        ""
% 0.22/0.45  % --clausifier                          .//eprover
% 0.22/0.45  % --clausifier_options                  --tstp-format  
% 0.22/0.45  % --stdin                               false
% 0.22/0.45  % --dbg_backtrace                       false
% 0.22/0.45  % --dbg_dump_prop_clauses               false
% 0.22/0.45  % --dbg_dump_prop_clauses_file          -
% 0.22/0.45  % --dbg_out_stat                        false
% 0.22/0.45  
% 0.22/0.45  % ------ General Options
% 0.22/0.45  
% 0.22/0.45  % --fof                                 false
% 0.22/0.45  % --time_out_real                       150.
% 0.22/0.45  % --time_out_prep_mult                  0.2
% 0.22/0.45  % --time_out_virtual                    -1.
% 0.22/0.45  % --schedule                            none
% 0.22/0.45  % --ground_splitting                    input
% 0.22/0.45  % --splitting_nvd                       16
% 0.22/0.45  % --non_eq_to_eq                        false
% 0.22/0.45  % --prep_gs_sim                         true
% 0.22/0.45  % --prep_unflatten                      false
% 0.22/0.45  % --prep_res_sim                        true
% 0.22/0.45  % --prep_upred                          true
% 0.22/0.45  % --res_sim_input                       true
% 0.22/0.45  % --clause_weak_htbl                    true
% 0.22/0.45  % --gc_record_bc_elim                   false
% 0.22/0.45  % --symbol_type_check                   false
% 0.22/0.45  % --clausify_out                        false
% 0.22/0.45  % --large_theory_mode                   false
% 0.22/0.45  % --prep_sem_filter                     none
% 0.22/0.45  % --prep_sem_filter_out                 false
% 0.22/0.45  % --preprocessed_out                    false
% 0.22/0.45  % --sub_typing                          false
% 0.22/0.45  % --brand_transform                     false
% 0.22/0.45  % --pure_diseq_elim                     true
% 0.22/0.45  % --min_unsat_core                      false
% 0.22/0.45  % --pred_elim                           true
% 0.22/0.45  % --add_important_lit                   false
% 0.22/0.45  % --soft_assumptions                    false
% 0.22/0.45  % --reset_solvers                       false
% 0.22/0.45  % --bc_imp_inh                          []
% 0.22/0.45  % --conj_cone_tolerance                 1.5
% 0.22/0.45  % --prolific_symb_bound                 500
% 0.22/0.45  % --lt_threshold                        2000
% 0.22/0.45  
% 0.22/0.45  % ------ SAT Options
% 0.22/0.45  
% 0.22/0.45  % --sat_mode                            false
% 0.22/0.45  % --sat_fm_restart_options              ""
% 0.22/0.45  % --sat_gr_def                          false
% 0.22/0.45  % --sat_epr_types                       true
% 0.22/0.45  % --sat_non_cyclic_types                false
% 0.22/0.45  % --sat_finite_models                   false
% 0.22/0.45  % --sat_fm_lemmas                       false
% 0.22/0.45  % --sat_fm_prep                         false
% 0.22/0.45  % --sat_fm_uc_incr                      true
% 0.22/0.45  % --sat_out_model                       small
% 0.22/0.45  % --sat_out_clauses                     false
% 0.22/0.45  
% 0.22/0.45  % ------ QBF Options
% 0.22/0.45  
% 0.22/0.45  % --qbf_mode                            false
% 0.22/0.45  % --qbf_elim_univ                       true
% 0.22/0.45  % --qbf_sk_in                           true
% 0.22/0.45  % --qbf_pred_elim                       true
% 0.22/0.45  % --qbf_split                           32
% 0.22/0.45  
% 0.22/0.45  % ------ BMC1 Options
% 0.22/0.45  
% 0.22/0.45  % --bmc1_incremental                    false
% 0.22/0.45  % --bmc1_axioms                         reachable_all
% 0.22/0.45  % --bmc1_min_bound                      0
% 0.22/0.45  % --bmc1_max_bound                      -1
% 0.22/0.45  % --bmc1_max_bound_default              -1
% 0.22/0.45  % --bmc1_symbol_reachability            true
% 0.22/0.45  % --bmc1_property_lemmas                false
% 0.22/0.45  % --bmc1_k_induction                    false
% 0.22/0.45  % --bmc1_non_equiv_states               false
% 0.22/0.45  % --bmc1_deadlock                       false
% 0.22/0.45  % --bmc1_ucm                            false
% 0.22/0.45  % --bmc1_add_unsat_core                 none
% 0.22/0.45  % --bmc1_unsat_core_children            false
% 0.22/0.45  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.22/0.45  % --bmc1_out_stat                       full
% 0.22/0.45  % --bmc1_ground_init                    false
% 0.22/0.45  % --bmc1_pre_inst_next_state            false
% 0.22/0.45  % --bmc1_pre_inst_state                 false
% 0.22/0.45  % --bmc1_pre_inst_reach_state           false
% 0.22/0.45  % --bmc1_out_unsat_core                 false
% 0.22/0.45  % --bmc1_aig_witness_out                false
% 0.22/0.45  % --bmc1_verbose                        false
% 0.22/0.45  % --bmc1_dump_clauses_tptp              false
% 0.22/0.46  % --bmc1_dump_unsat_core_tptp           false
% 0.22/0.46  % --bmc1_dump_file                      -
% 0.22/0.46  % --bmc1_ucm_expand_uc_limit            128
% 0.22/0.46  % --bmc1_ucm_n_expand_iterations        6
% 0.22/0.46  % --bmc1_ucm_extend_mode                1
% 0.22/0.46  % --bmc1_ucm_init_mode                  2
% 0.22/0.46  % --bmc1_ucm_cone_mode                  none
% 0.22/0.46  % --bmc1_ucm_reduced_relation_type      0
% 0.22/0.46  % --bmc1_ucm_relax_model                4
% 0.22/0.46  % --bmc1_ucm_full_tr_after_sat          true
% 0.22/0.46  % --bmc1_ucm_expand_neg_assumptions     false
% 0.22/0.46  % --bmc1_ucm_layered_model              none
% 0.22/0.46  % --bmc1_ucm_max_lemma_size             10
% 0.22/0.46  
% 0.22/0.46  % ------ AIG Options
% 0.22/0.46  
% 0.22/0.46  % --aig_mode                            false
% 0.22/0.46  
% 0.22/0.46  % ------ Instantiation Options
% 0.22/0.46  
% 0.22/0.46  % --instantiation_flag                  true
% 0.22/0.46  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.46  % --inst_solver_per_active              750
% 0.22/0.46  % --inst_solver_calls_frac              0.5
% 0.22/0.46  % --inst_passive_queue_type             priority_queues
% 0.22/0.46  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.46  % --inst_passive_queues_freq            [25;2]
% 0.22/0.46  % --inst_dismatching                    true
% 0.22/0.46  % --inst_eager_unprocessed_to_passive   true
% 0.22/0.46  % --inst_prop_sim_given                 true
% 0.22/0.46  % --inst_prop_sim_new                   false
% 0.22/0.46  % --inst_orphan_elimination             true
% 0.22/0.46  % --inst_learning_loop_flag             true
% 0.22/0.46  % --inst_learning_start                 3000
% 0.22/0.46  % --inst_learning_factor                2
% 0.22/0.46  % --inst_start_prop_sim_after_learn     3
% 0.22/0.46  % --inst_sel_renew                      solver
% 0.22/0.46  % --inst_lit_activity_flag              true
% 0.22/0.46  % --inst_out_proof                      true
% 0.22/0.46  
% 0.22/0.46  % ------ Resolution Options
% 0.22/0.46  
% 0.22/0.46  % --resolution_flag                     true
% 0.22/0.46  % --res_lit_sel                         kbo_max
% 0.22/0.46  % --res_to_prop_solver                  none
% 0.22/0.46  % --res_prop_simpl_new                  false
% 0.22/0.46  % --res_prop_simpl_given                false
% 0.22/0.46  % --res_passive_queue_type              priority_queues
% 0.22/0.46  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.22/0.46  % --res_passive_queues_freq             [15;5]
% 0.22/0.46  % --res_forward_subs                    full
% 0.22/0.46  % --res_backward_subs                   full
% 0.22/0.46  % --res_forward_subs_resolution         true
% 0.22/0.46  % --res_backward_subs_resolution        true
% 0.22/0.46  % --res_orphan_elimination              false
% 0.22/0.46  % --res_time_limit                      1000.
% 0.22/0.46  % --res_out_proof                       true
% 0.22/0.46  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_bdb0b2.s
% 0.22/0.46  % --modulo                              true
% 0.22/0.46  
% 0.22/0.46  % ------ Combination Options
% 0.22/0.46  
% 0.22/0.46  % --comb_res_mult                       1000
% 0.22/0.46  % --comb_inst_mult                      300
% 0.22/0.46  % ------ 
% 0.22/0.46  
% 0.22/0.46  % ------ Parsing...% successful
% 0.22/0.46  
% 0.22/0.46  % ------ 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 % 
% 0.22/0.46  
% 0.22/0.46  % ------ Proving...
% 0.22/0.46  % ------ Problem Properties 
% 0.22/0.46  
% 0.22/0.46  % 
% 0.22/0.46  % EPR                                   false
% 0.22/0.46  % Horn                                  true
% 0.22/0.46  % Has equality                          false
% 0.22/0.46  
% 0.22/0.46  % % ------ Input Options Time Limit: Unbounded
% 0.22/0.46  
% 0.22/0.46  
% 0.22/0.46  % % ------ Current options:
% 0.22/0.46  
% 0.22/0.46  % ------ Input Options
% 0.22/0.46  
% 0.22/0.46  % --out_options                         all
% 0.22/0.46  % --tptp_safe_out                       true
% 0.22/0.46  % --problem_path                        ""
% 0.22/0.46  % --include_path                        ""
% 0.22/0.46  % --clausifier                          .//eprover
% 0.22/0.46  % --clausifier_options                  --tstp-format  
% 0.22/0.46  % --stdin                               false
% 0.22/0.46  % --dbg_backtrace                       false
% 0.22/0.46  % --dbg_dump_prop_clauses               false
% 0.22/0.46  % --dbg_dump_prop_clauses_file          -
% 0.22/0.46  % --dbg_out_stat                        false
% 0.22/0.46  
% 0.22/0.46  % ------ General Options
% 0.22/0.46  
% 0.22/0.46  % --fof                                 false
% 0.22/0.46  % --time_out_real                       150.
% 0.22/0.46  % --time_out_prep_mult                  0.2
% 0.22/0.46  % --time_out_virtual                    -1.
% 0.22/0.46  % --schedule                            none
% 0.22/0.46  % --ground_splitting                    input
% 0.22/0.46  % --splitting_nvd                       16
% 0.22/0.46  % --non_eq_to_eq                        false
% 0.22/0.46  % --prep_gs_sim                         true
% 0.22/0.46  % --prep_unflatten                      false
% 0.22/0.46  % --prep_res_sim                        true
% 0.22/0.46  % --prep_upred                          true
% 0.22/0.46  % --res_sim_input                       true
% 0.22/0.46  % --clause_weak_htbl                    true
% 0.22/0.46  % --gc_record_bc_elim                   false
% 0.22/0.46  % --symbol_type_check                   false
% 0.22/0.46  % --clausify_out                        false
% 0.22/0.46  % --large_theory_mode                   false
% 0.22/0.46  % --prep_sem_filter                     none
% 0.22/0.46  % --prep_sem_filter_out                 false
% 0.22/0.46  % --preprocessed_out                    false
% 0.22/0.46  % --sub_typing                          false
% 0.22/0.46  % --brand_transform                     false
% 0.22/0.46  % --pure_diseq_elim                     true
% 0.22/0.46  % --min_unsat_core                      false
% 0.22/0.46  % --pred_elim                           true
% 0.22/0.46  % --add_important_lit                   false
% 0.22/0.46  % --soft_assumptions                    false
% 0.22/0.46  % --reset_solvers                       false
% 0.22/0.46  % --bc_imp_inh                          []
% 0.22/0.46  % --conj_cone_tolerance                 1.5
% 0.22/0.46  % --prolific_symb_bound                 500
% 0.22/0.46  % --lt_threshold                        2000
% 0.22/0.46  
% 0.22/0.46  % ------ SAT Options
% 0.22/0.46  
% 0.22/0.46  % --sat_mode                            false
% 0.22/0.46  % --sat_fm_restart_options              ""
% 0.22/0.46  % --sat_gr_def                          false
% 0.22/0.46  % --sat_epr_types                       true
% 0.22/0.46  % --sat_non_cyclic_types                false
% 0.22/0.46  % --sat_finite_models                   false
% 0.22/0.46  % --sat_fm_lemmas                       false
% 0.22/0.46  % --sat_fm_prep                         false
% 0.22/0.46  % --sat_fm_uc_incr                      true
% 0.22/0.46  % --sat_out_model                       small
% 0.22/0.46  % --sat_out_clauses                     false
% 0.22/0.46  
% 0.22/0.46  % ------ QBF Options
% 0.22/0.46  
% 0.22/0.46  % --qbf_mode                            false
% 0.22/0.46  % --qbf_elim_univ                       true
% 0.22/0.46  % --qbf_sk_in                           true
% 0.22/0.46  % --qbf_pred_elim                       true
% 0.22/0.46  % --qbf_split                           32
% 0.22/0.46  
% 0.22/0.46  % ------ BMC1 Options
% 0.22/0.46  
% 0.22/0.46  % --bmc1_incremental                    false
% 0.22/0.46  % --bmc1_axioms                         reachable_all
% 0.22/0.46  % --bmc1_min_bound                      0
% 0.22/0.46  % --bmc1_max_bound                      -1
% 0.22/0.46  % --bmc1_max_bound_default              -1
% 0.22/0.46  % --bmc1_symbol_reachability            true
% 0.22/0.46  % --bmc1_property_lemmas                false
% 0.22/0.46  % --bmc1_k_induction                    false
% 0.22/0.46  % --bmc1_non_equiv_states               false
% 0.22/0.46  % --bmc1_deadlock                       false
% 0.22/0.46  % --bmc1_ucm                            false
% 0.22/0.46  % --bmc1_add_unsat_core                 none
% 0.22/0.46  % --bmc1_unsat_core_children            false
% 0.22/0.46  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.22/0.46  % --bmc1_out_stat                       full
% 0.22/0.46  % --bmc1_ground_init                    false
% 0.22/0.46  % --bmc1_pre_inst_next_state            false
% 0.22/0.46  % --bmc1_pre_inst_state                 false
% 0.22/0.46  % --bmc1_pre_inst_reach_state           false
% 0.22/0.46  % --bmc1_out_unsat_core                 false
% 0.22/0.46  % --bmc1_aig_witness_out                false
% 0.22/0.46  % --bmc1_verbose                        false
% 0.22/0.46  % --bmc1_dump_clauses_tptp              false
% 0.22/0.46  % --bmc1_dump_unsat_core_tptp           false
% 0.22/0.46  % --bmc1_dump_file                      -
% 0.22/0.46  % --bmc1_ucm_expand_uc_limit            128
% 0.22/0.46  % --bmc1_ucm_n_expand_iterations        6
% 0.22/0.46  % --bmc1_ucm_extend_mode                1
% 0.22/0.46  % --bmc1_ucm_init_mode                  2
% 0.22/0.46  % --bmc1_ucm_cone_mode                  none
% 0.22/0.46  % --bmc1_ucm_reduced_relation_type      0
% 0.22/0.46  % --bmc1_ucm_relax_model                4
% 0.22/0.46  % --bmc1_ucm_full_tr_after_sat          true
% 0.22/0.46  % --bmc1_ucm_expand_neg_assumptions     false
% 0.22/0.46  % --bmc1_ucm_layered_model              none
% 0.22/0.46  % --bmc1_ucm_max_lemma_size             10
% 0.22/0.46  
% 0.22/0.46  % ------ AIG Options
% 0.22/0.46  
% 0.22/0.46  % --aig_mode                            false
% 0.22/0.46  
% 0.22/0.46  % ------ Instantiation Options
% 0.22/0.46  
% 0.22/0.46  % --instantiation_flag                  true
% 0.22/0.46  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.22/0.46  % --inst_solver_per_active              750
% 0.22/0.46  % --inst_solver_calls_frac              0.5
% 0.22/0.46  % --inst_passive_queue_type             priority_queues
% 0.22/0.46  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.22/0.46  % --inst_passive_queues_freq            [25;2]
% 0.22/0.46  % --inst_dismatching                    true
% 0.22/0.46  % --inst_eager_unprocessed_to_passive   true
% 0.22/0.46  % --inst_prop_sim_given                 true
% 3.81/4.02  % --inst_prop_sim_new                   false
% 3.81/4.02  % --inst_orphan_elimination             true
% 3.81/4.02  % --inst_learning_loop_flag             true
% 3.81/4.02  % --inst_learning_start                 3000
% 3.81/4.02  % --inst_learning_factor                2
% 3.81/4.02  % --inst_start_prop_sim_after_learn     3
% 3.81/4.02  % --inst_sel_renew                      solver
% 3.81/4.02  % --inst_lit_activity_flag              true
% 3.81/4.02  % --inst_out_proof                      true
% 3.81/4.02  
% 3.81/4.02  % ------ Resolution Options
% 3.81/4.02  
% 3.81/4.02  % --resolution_flag                     true
% 3.81/4.02  % --res_lit_sel                         kbo_max
% 3.81/4.02  % --res_to_prop_solver                  none
% 3.81/4.02  % --res_prop_simpl_new                  false
% 3.81/4.02  % --res_prop_simpl_given                false
% 3.81/4.02  % --res_passive_queue_type              priority_queues
% 3.81/4.02  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.81/4.02  % --res_passive_queues_freq             [15;5]
% 3.81/4.02  % --res_forward_subs                    full
% 3.81/4.02  % --res_backward_subs                   full
% 3.81/4.02  % --res_forward_subs_resolution         true
% 3.81/4.02  % --res_backward_subs_resolution        true
% 3.81/4.02  % --res_orphan_elimination              false
% 3.81/4.02  % --res_time_limit                      1000.
% 3.81/4.02  % --res_out_proof                       true
% 3.81/4.02  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_bdb0b2.s
% 3.81/4.02  % --modulo                              true
% 3.81/4.02  
% 3.81/4.02  % ------ Combination Options
% 3.81/4.02  
% 3.81/4.02  % --comb_res_mult                       1000
% 3.81/4.02  % --comb_inst_mult                      300
% 3.81/4.02  % ------ 
% 3.81/4.02  
% 3.81/4.02  
% 3.81/4.02  
% 3.81/4.02  % ------ Proving...
% 3.81/4.02  % 
% 3.81/4.02  
% 3.81/4.02  
% 3.81/4.02  % ------                             Statistics
% 3.81/4.02  
% 3.81/4.02  % ------ General
% 3.81/4.02  
% 3.81/4.02  % num_of_input_clauses:                 10
% 3.81/4.02  % num_of_input_neg_conjectures:         1
% 3.81/4.02  % num_of_splits:                        0
% 3.81/4.02  % num_of_split_atoms:                   0
% 3.81/4.02  % num_of_sem_filtered_clauses:          0
% 3.81/4.02  % num_of_subtypes:                      0
% 3.81/4.02  % monotx_restored_types:                0
% 3.81/4.02  % sat_num_of_epr_types:                 0
% 3.81/4.02  % sat_num_of_non_cyclic_types:          0
% 3.81/4.02  % sat_guarded_non_collapsed_types:      0
% 3.81/4.02  % is_epr:                               0
% 3.81/4.02  % is_horn:                              1
% 3.81/4.02  % has_eq:                               0
% 3.81/4.02  % num_pure_diseq_elim:                  0
% 3.81/4.02  % simp_replaced_by:                     0
% 3.81/4.02  % res_preprocessed:                     2
% 3.81/4.02  % prep_upred:                           0
% 3.81/4.02  % prep_unflattend:                      0
% 3.81/4.02  % pred_elim_cands:                      0
% 3.81/4.02  % pred_elim:                            0
% 3.81/4.02  % pred_elim_cl:                         0
% 3.81/4.02  % pred_elim_cycles:                     0
% 3.81/4.02  % forced_gc_time:                       0
% 3.81/4.02  % gc_basic_clause_elim:                 0
% 3.81/4.02  % parsing_time:                         0.
% 3.81/4.02  % sem_filter_time:                      0.
% 3.81/4.02  % pred_elim_time:                       0.
% 3.81/4.02  % out_proof_time:                       0.002
% 3.81/4.02  % monotx_time:                          0.
% 3.81/4.02  % subtype_inf_time:                     0.
% 3.81/4.02  % unif_index_cands_time:                0.019
% 3.81/4.02  % unif_index_add_time:                  0.009
% 3.81/4.02  % total_time:                           3.587
% 3.81/4.02  % num_of_symbols:                       29
% 3.81/4.02  % num_of_terms:                         72106
% 3.81/4.02  
% 3.81/4.02  % ------ Propositional Solver
% 3.81/4.02  
% 3.81/4.02  % prop_solver_calls:                    13
% 3.81/4.02  % prop_fast_solver_calls:               3
% 3.81/4.02  % prop_num_of_clauses:                  3098
% 3.81/4.02  % prop_preprocess_simplified:           4534
% 3.81/4.02  % prop_fo_subsumed:                     0
% 3.81/4.02  % prop_solver_time:                     0.001
% 3.81/4.02  % prop_fast_solver_time:                0.
% 3.81/4.02  % prop_unsat_core_time:                 0.
% 3.81/4.02  
% 3.81/4.02  % ------ QBF 
% 3.81/4.02  
% 3.81/4.02  % qbf_q_res:                            0
% 3.81/4.02  % qbf_num_tautologies:                  0
% 3.81/4.02  % qbf_prep_cycles:                      0
% 3.81/4.02  
% 3.81/4.02  % ------ BMC1
% 3.81/4.02  
% 3.81/4.02  % bmc1_current_bound:                   -1
% 3.81/4.02  % bmc1_last_solved_bound:               -1
% 3.81/4.02  % bmc1_unsat_core_size:                 -1
% 3.81/4.02  % bmc1_unsat_core_parents_size:         -1
% 3.81/4.02  % bmc1_merge_next_fun:                  0
% 3.81/4.02  % bmc1_unsat_core_clauses_time:         0.
% 3.81/4.02  
% 3.81/4.02  % ------ Instantiation
% 3.81/4.02  
% 3.81/4.02  % inst_num_of_clauses:                  2185
% 3.81/4.02  % inst_num_in_passive:                  940
% 3.81/4.02  % inst_num_in_active:                   719
% 3.81/4.02  % inst_num_in_unprocessed:              505
% 3.81/4.02  % inst_num_of_loops:                    804
% 3.81/4.02  % inst_num_of_learning_restarts:        0
% 3.81/4.02  % inst_num_moves_active_passive:        66
% 3.81/4.02  % inst_lit_activity:                    196
% 3.81/4.02  % inst_lit_activity_moves:              0
% 3.81/4.02  % inst_num_tautologies:                 16
% 3.81/4.02  % inst_num_prop_implied:                0
% 3.81/4.02  % inst_num_existing_simplified:         0
% 3.81/4.02  % inst_num_eq_res_simplified:           0
% 3.81/4.02  % inst_num_child_elim:                  0
% 3.81/4.02  % inst_num_of_dismatching_blockings:    21130
% 3.81/4.02  % inst_num_of_non_proper_insts:         15406
% 3.81/4.02  % inst_num_of_duplicates:               8670
% 3.81/4.02  % inst_inst_num_from_inst_to_res:       0
% 3.81/4.02  % inst_dismatching_checking_time:       0.05
% 3.81/4.02  
% 3.81/4.02  % ------ Resolution
% 3.81/4.02  
% 3.81/4.02  % res_num_of_clauses:                   8672
% 3.81/4.02  % res_num_in_passive:                   5931
% 3.81/4.02  % res_num_in_active:                    2788
% 3.81/4.02  % res_num_of_loops:                     3000
% 3.81/4.02  % res_forward_subset_subsumed:          2709
% 3.81/4.02  % res_backward_subset_subsumed:         267
% 3.81/4.02  % res_forward_subsumed:                 115
% 3.81/4.02  % res_backward_subsumed:                3
% 3.81/4.02  % res_forward_subsumption_resolution:   19
% 3.81/4.02  % res_backward_subsumption_resolution:  0
% 3.81/4.02  % res_clause_to_clause_subsumption:     269121
% 3.81/4.02  % res_orphan_elimination:               0
% 3.81/4.02  % res_tautology_del:                    0
% 3.81/4.02  % res_num_eq_res_simplified:            0
% 3.81/4.02  % res_num_sel_changes:                  0
% 3.81/4.02  % res_moves_from_active_to_pass:        0
% 3.81/4.02  
% 3.81/4.03  % Status Unsatisfiable
% 3.81/4.03  % SZS status Unsatisfiable
% 3.81/4.03  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------