TSTP Solution File: GRP012+5 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : GRP012+5 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n008.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 09:44:13 EDT 2022

% Result   : Theorem 2.42s 2.62s
% Output   : CNFRefutation 2.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :  102 (  67 unt;   0 def)
%            Number of atoms       :  219 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  209 (  92   ~;  78   |;  31   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :  242 (   0 sgn  64   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
% Start CNF derivation
% End CNF derivation
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0,conjecture,
    ! [X1] :
      ( ( ! [X2,X3] :
          ? [X4] : product(X2,X3,X4)
        & ! [X2,X3,X4,X5,X6,X7] :
            ( ( product(X2,X3,X5)
              & product(X3,X4,X6)
              & product(X5,X4,X7) )
           => product(X2,X6,X7) )
        & ! [X2,X3,X4,X5,X6,X7] :
            ( ( product(X2,X3,X5)
              & product(X3,X4,X6)
              & product(X2,X6,X7) )
           => product(X5,X4,X7) )
        & ! [X2] : product(X2,X1,X2)
        & ! [X2] : product(X1,X2,X2)
        & ! [X2] : product(X2,inverse(X2),X1)
        & ! [X2] : product(inverse(X2),X2,X1) )
     => ! [X5,X6,X7,X2] :
          ( ( product(inverse(X5),inverse(X6),X7)
            & product(X6,X5,X2) )
         => product(inverse(X7),inverse(X2),X1) ) ),
    file('<stdin>',prove_distribution) ).

fof(c_0_1,negated_conjecture,
    ~ ! [X1] :
        ( ( ! [X2,X3] :
            ? [X4] : product(X2,X3,X4)
          & ! [X2,X3,X4,X5,X6,X7] :
              ( ( product(X2,X3,X5)
                & product(X3,X4,X6)
                & product(X5,X4,X7) )
             => product(X2,X6,X7) )
          & ! [X2,X3,X4,X5,X6,X7] :
              ( ( product(X2,X3,X5)
                & product(X3,X4,X6)
                & product(X2,X6,X7) )
             => product(X5,X4,X7) )
          & ! [X2] : product(X2,X1,X2)
          & ! [X2] : product(X1,X2,X2)
          & ! [X2] : product(X2,inverse(X2),X1)
          & ! [X2] : product(inverse(X2),X2,X1) )
       => ! [X5,X6,X7,X2] :
            ( ( product(inverse(X5),inverse(X6),X7)
              & product(X6,X5,X2) )
           => product(inverse(X7),inverse(X2),X1) ) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2,negated_conjecture,
    ! [X9,X10,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
      ( product(X9,X10,esk2_2(X9,X10))
      & ( ~ product(X12,X13,X15)
        | ~ product(X13,X14,X16)
        | ~ product(X15,X14,X17)
        | product(X12,X16,X17) )
      & ( ~ product(X18,X19,X21)
        | ~ product(X19,X20,X22)
        | ~ product(X18,X22,X23)
        | product(X21,X20,X23) )
      & product(X24,esk1_0,X24)
      & product(esk1_0,X25,X25)
      & product(X26,inverse(X26),esk1_0)
      & product(inverse(X27),X27,esk1_0)
      & product(inverse(esk3_0),inverse(esk4_0),esk5_0)
      & product(esk4_0,esk3_0,esk6_0)
      & ~ product(inverse(esk5_0),inverse(esk6_0),esk1_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X3)
    | ~ product(X6,X5,X2)
    | ~ product(X1,X6,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X3)
    | ~ product(X6,X2,X5)
    | ~ product(X4,X6,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ~ product(inverse(esk5_0),inverse(esk6_0),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    product(X1,X2,esk2_2(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    product(X1,inverse(X1),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
    product(inverse(X1),X1,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    product(inverse(esk3_0),inverse(esk4_0),esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    product(X1,esk1_0,X1),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    product(esk1_0,X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    product(esk4_0,esk3_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,negated_conjecture,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X3)
    | ~ product(X6,X5,X2)
    | ~ product(X1,X6,X4) ),
    c_0_3,
    [final] ).

cnf(c_0_14,negated_conjecture,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X3)
    | ~ product(X6,X2,X5)
    | ~ product(X4,X6,X1) ),
    c_0_4,
    [final] ).

cnf(c_0_15,negated_conjecture,
    ~ product(inverse(esk5_0),inverse(esk6_0),esk1_0),
    c_0_5,
    [final] ).

cnf(c_0_16,negated_conjecture,
    product(X1,X2,esk2_2(X1,X2)),
    c_0_6,
    [final] ).

cnf(c_0_17,negated_conjecture,
    product(X1,inverse(X1),esk1_0),
    c_0_7,
    [final] ).

cnf(c_0_18,negated_conjecture,
    product(inverse(X1),X1,esk1_0),
    c_0_8,
    [final] ).

cnf(c_0_19,negated_conjecture,
    product(inverse(esk3_0),inverse(esk4_0),esk5_0),
    c_0_9,
    [final] ).

cnf(c_0_20,negated_conjecture,
    product(X1,esk1_0,X1),
    c_0_10,
    [final] ).

cnf(c_0_21,negated_conjecture,
    product(esk1_0,X1,X1),
    c_0_11,
    [final] ).

cnf(c_0_22,negated_conjecture,
    product(esk4_0,esk3_0,esk6_0),
    c_0_12,
    [final] ).

% End CNF derivation

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

cnf(c_0,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X3,X4)
    | ~ product(X2,X3,X5)
    | product(X0,X4,X5) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_94997e.p',c_0_13) ).

cnf(c_14,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X3,X4)
    | ~ product(X2,X3,X5)
    | product(X0,X4,X5) ),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_54,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X3,X4)
    | ~ product(X2,X3,X5)
    | product(X0,X4,X5) ),
    inference(copy,[status(esa)],[c_14]) ).

cnf(c_73,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X3,X4)
    | ~ product(X2,X3,X5)
    | product(X0,X4,X5) ),
    inference(copy,[status(esa)],[c_54]) ).

cnf(c_74,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X3,X4)
    | ~ product(X2,X3,X5)
    | product(X0,X4,X5) ),
    inference(copy,[status(esa)],[c_73]) ).

cnf(c_94,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X3,X4)
    | ~ product(X2,X3,X5)
    | product(X0,X4,X5) ),
    inference(copy,[status(esa)],[c_74]) ).

cnf(c_8,negated_conjecture,
    product(sk3_esk1_0,X0,X0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_94997e.p',c_0_21) ).

cnf(c_30,negated_conjecture,
    product(sk3_esk1_0,X0,X0),
    inference(copy,[status(esa)],[c_8]) ).

cnf(c_62,negated_conjecture,
    product(sk3_esk1_0,X0,X0),
    inference(copy,[status(esa)],[c_30]) ).

cnf(c_65,negated_conjecture,
    product(sk3_esk1_0,X0,X0),
    inference(copy,[status(esa)],[c_62]) ).

cnf(c_82,negated_conjecture,
    product(sk3_esk1_0,X0,X0),
    inference(copy,[status(esa)],[c_65]) ).

cnf(c_110,plain,
    product(sk3_esk1_0,X0,X0),
    inference(copy,[status(esa)],[c_82]) ).

cnf(c_148,plain,
    ( ~ product(X0,X1,sk3_esk1_0)
    | ~ product(X1,X2,X3)
    | product(X0,X3,X2) ),
    inference(resolution,[status(thm)],[c_94,c_110]) ).

cnf(c_149,plain,
    ( ~ product(X0,X1,sk3_esk1_0)
    | ~ product(X1,X2,X3)
    | product(X0,X3,X2) ),
    inference(rewriting,[status(thm)],[c_148]) ).

cnf(c_4,negated_conjecture,
    product(X0,inverse(X0),sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_94997e.p',c_0_17) ).

cnf(c_22,negated_conjecture,
    product(X0,inverse(X0),sk3_esk1_0),
    inference(copy,[status(esa)],[c_4]) ).

cnf(c_58,negated_conjecture,
    product(X0,inverse(X0),sk3_esk1_0),
    inference(copy,[status(esa)],[c_22]) ).

cnf(c_69,negated_conjecture,
    product(X0,inverse(X0),sk3_esk1_0),
    inference(copy,[status(esa)],[c_58]) ).

cnf(c_78,negated_conjecture,
    product(X0,inverse(X0),sk3_esk1_0),
    inference(copy,[status(esa)],[c_69]) ).

cnf(c_102,plain,
    product(X0,inverse(X0),sk3_esk1_0),
    inference(copy,[status(esa)],[c_78]) ).

cnf(c_232,plain,
    ( product(X0,sk3_esk1_0,inverse(X1))
    | ~ product(X0,X1,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_149,c_102]) ).

cnf(c_233,plain,
    ( product(X0,sk3_esk1_0,inverse(X1))
    | ~ product(X0,X1,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_232]) ).

cnf(c_7,negated_conjecture,
    product(X0,sk3_esk1_0,X0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_94997e.p',c_0_20) ).

cnf(c_28,negated_conjecture,
    product(X0,sk3_esk1_0,X0),
    inference(copy,[status(esa)],[c_7]) ).

cnf(c_61,negated_conjecture,
    product(X0,sk3_esk1_0,X0),
    inference(copy,[status(esa)],[c_28]) ).

cnf(c_66,negated_conjecture,
    product(X0,sk3_esk1_0,X0),
    inference(copy,[status(esa)],[c_61]) ).

cnf(c_81,negated_conjecture,
    product(X0,sk3_esk1_0,X0),
    inference(copy,[status(esa)],[c_66]) ).

cnf(c_108,plain,
    product(X0,sk3_esk1_0,X0),
    inference(copy,[status(esa)],[c_81]) ).

cnf(c_146,plain,
    ( ~ product(X0,sk3_esk1_0,X1)
    | ~ product(X2,X0,X3)
    | product(X2,X1,X3) ),
    inference(resolution,[status(thm)],[c_94,c_108]) ).

cnf(c_147,plain,
    ( ~ product(X0,sk3_esk1_0,X1)
    | ~ product(X2,X0,X3)
    | product(X2,X1,X3) ),
    inference(rewriting,[status(thm)],[c_146]) ).

cnf(c_5,negated_conjecture,
    product(inverse(X0),X0,sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_94997e.p',c_0_18) ).

cnf(c_24,negated_conjecture,
    product(inverse(X0),X0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_5]) ).

cnf(c_59,negated_conjecture,
    product(inverse(X0),X0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_24]) ).

cnf(c_68,negated_conjecture,
    product(inverse(X0),X0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_59]) ).

cnf(c_79,negated_conjecture,
    product(inverse(X0),X0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_68]) ).

cnf(c_104,plain,
    product(inverse(X0),X0,sk3_esk1_0),
    inference(copy,[status(esa)],[c_79]) ).

cnf(c_184,plain,
    ( product(inverse(X0),X1,sk3_esk1_0)
    | ~ product(X0,sk3_esk1_0,X1) ),
    inference(resolution,[status(thm)],[c_147,c_104]) ).

cnf(c_185,plain,
    ( product(inverse(X0),X1,sk3_esk1_0)
    | ~ product(X0,sk3_esk1_0,X1) ),
    inference(rewriting,[status(thm)],[c_184]) ).

cnf(c_2,negated_conjecture,
    ~ product(inverse(sk3_esk5_0),inverse(sk3_esk6_0),sk3_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_94997e.p',c_0_15) ).

cnf(c_18,negated_conjecture,
    ~ product(inverse(sk3_esk5_0),inverse(sk3_esk6_0),sk3_esk1_0),
    inference(copy,[status(esa)],[c_2]) ).

cnf(c_56,negated_conjecture,
    ~ product(inverse(sk3_esk5_0),inverse(sk3_esk6_0),sk3_esk1_0),
    inference(copy,[status(esa)],[c_18]) ).

cnf(c_71,negated_conjecture,
    ~ product(inverse(sk3_esk5_0),inverse(sk3_esk6_0),sk3_esk1_0),
    inference(copy,[status(esa)],[c_56]) ).

cnf(c_76,negated_conjecture,
    ~ product(inverse(sk3_esk5_0),inverse(sk3_esk6_0),sk3_esk1_0),
    inference(copy,[status(esa)],[c_71]) ).

cnf(c_98,negated_conjecture,
    ~ product(inverse(sk3_esk5_0),inverse(sk3_esk6_0),sk3_esk1_0),
    inference(copy,[status(esa)],[c_76]) ).

cnf(c_804,plain,
    ~ product(sk3_esk5_0,sk3_esk1_0,inverse(sk3_esk6_0)),
    inference(resolution,[status(thm)],[c_185,c_98]) ).

cnf(c_805,plain,
    ~ product(sk3_esk5_0,sk3_esk1_0,inverse(sk3_esk6_0)),
    inference(rewriting,[status(thm)],[c_804]) ).

cnf(c_870,plain,
    ~ product(sk3_esk5_0,sk3_esk6_0,sk3_esk1_0),
    inference(resolution,[status(thm)],[c_233,c_805]) ).

cnf(c_871,plain,
    ~ product(sk3_esk5_0,sk3_esk6_0,sk3_esk1_0),
    inference(rewriting,[status(thm)],[c_870]) ).

cnf(c_1,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X3,X4)
    | ~ product(X0,X4,X5)
    | product(X2,X3,X5) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_94997e.p',c_0_14) ).

cnf(c_16,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X3,X4)
    | ~ product(X0,X4,X5)
    | product(X2,X3,X5) ),
    inference(copy,[status(esa)],[c_1]) ).

cnf(c_55,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X3,X4)
    | ~ product(X0,X4,X5)
    | product(X2,X3,X5) ),
    inference(copy,[status(esa)],[c_16]) ).

cnf(c_72,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X3,X4)
    | ~ product(X0,X4,X5)
    | product(X2,X3,X5) ),
    inference(copy,[status(esa)],[c_55]) ).

cnf(c_75,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X3,X4)
    | ~ product(X0,X4,X5)
    | product(X2,X3,X5) ),
    inference(copy,[status(esa)],[c_72]) ).

cnf(c_96,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X3,X4)
    | ~ product(X0,X4,X5)
    | product(X2,X3,X5) ),
    inference(copy,[status(esa)],[c_75]) ).

cnf(c_168,plain,
    ( ~ product(X0,X1,sk3_esk1_0)
    | ~ product(X2,X0,X3)
    | product(X3,X1,X2) ),
    inference(resolution,[status(thm)],[c_96,c_108]) ).

cnf(c_169,plain,
    ( ~ product(X0,X1,sk3_esk1_0)
    | ~ product(X2,X0,X3)
    | product(X3,X1,X2) ),
    inference(rewriting,[status(thm)],[c_168]) ).

cnf(c_6,negated_conjecture,
    product(inverse(sk3_esk3_0),inverse(sk3_esk4_0),sk3_esk5_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_94997e.p',c_0_19) ).

cnf(c_26,negated_conjecture,
    product(inverse(sk3_esk3_0),inverse(sk3_esk4_0),sk3_esk5_0),
    inference(copy,[status(esa)],[c_6]) ).

cnf(c_60,negated_conjecture,
    product(inverse(sk3_esk3_0),inverse(sk3_esk4_0),sk3_esk5_0),
    inference(copy,[status(esa)],[c_26]) ).

cnf(c_67,negated_conjecture,
    product(inverse(sk3_esk3_0),inverse(sk3_esk4_0),sk3_esk5_0),
    inference(copy,[status(esa)],[c_60]) ).

cnf(c_80,negated_conjecture,
    product(inverse(sk3_esk3_0),inverse(sk3_esk4_0),sk3_esk5_0),
    inference(copy,[status(esa)],[c_67]) ).

cnf(c_106,plain,
    product(inverse(sk3_esk3_0),inverse(sk3_esk4_0),sk3_esk5_0),
    inference(copy,[status(esa)],[c_80]) ).

cnf(c_270,plain,
    ( product(sk3_esk5_0,X0,inverse(sk3_esk3_0))
    | ~ product(inverse(sk3_esk4_0),X0,sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_169,c_106]) ).

cnf(c_271,plain,
    ( product(sk3_esk5_0,X0,inverse(sk3_esk3_0))
    | ~ product(inverse(sk3_esk4_0),X0,sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_270]) ).

cnf(c_1840,plain,
    product(sk3_esk5_0,sk3_esk4_0,inverse(sk3_esk3_0)),
    inference(resolution,[status(thm)],[c_271,c_104]) ).

cnf(c_1841,plain,
    product(sk3_esk5_0,sk3_esk4_0,inverse(sk3_esk3_0)),
    inference(rewriting,[status(thm)],[c_1840]) ).

cnf(c_142,plain,
    ( ~ product(X0,X1,inverse(X2))
    | product(X0,X3,sk3_esk1_0)
    | ~ product(X1,X2,X3) ),
    inference(resolution,[status(thm)],[c_94,c_104]) ).

cnf(c_143,plain,
    ( ~ product(X0,X1,inverse(X2))
    | product(X0,X3,sk3_esk1_0)
    | ~ product(X1,X2,X3) ),
    inference(rewriting,[status(thm)],[c_142]) ).

cnf(c_9,negated_conjecture,
    product(sk3_esk4_0,sk3_esk3_0,sk3_esk6_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_94997e.p',c_0_22) ).

cnf(c_32,negated_conjecture,
    product(sk3_esk4_0,sk3_esk3_0,sk3_esk6_0),
    inference(copy,[status(esa)],[c_9]) ).

cnf(c_63,negated_conjecture,
    product(sk3_esk4_0,sk3_esk3_0,sk3_esk6_0),
    inference(copy,[status(esa)],[c_32]) ).

cnf(c_64,negated_conjecture,
    product(sk3_esk4_0,sk3_esk3_0,sk3_esk6_0),
    inference(copy,[status(esa)],[c_63]) ).

cnf(c_83,negated_conjecture,
    product(sk3_esk4_0,sk3_esk3_0,sk3_esk6_0),
    inference(copy,[status(esa)],[c_64]) ).

cnf(c_112,plain,
    product(sk3_esk4_0,sk3_esk3_0,sk3_esk6_0),
    inference(copy,[status(esa)],[c_83]) ).

cnf(c_566,plain,
    ( product(X0,sk3_esk6_0,sk3_esk1_0)
    | ~ product(X0,sk3_esk4_0,inverse(sk3_esk3_0)) ),
    inference(resolution,[status(thm)],[c_143,c_112]) ).

cnf(c_567,plain,
    ( product(X0,sk3_esk6_0,sk3_esk1_0)
    | ~ product(X0,sk3_esk4_0,inverse(sk3_esk3_0)) ),
    inference(rewriting,[status(thm)],[c_566]) ).

cnf(c_1880,plain,
    product(sk3_esk5_0,sk3_esk6_0,sk3_esk1_0),
    inference(resolution,[status(thm)],[c_1841,c_567]) ).

cnf(c_1881,plain,
    product(sk3_esk5_0,sk3_esk6_0,sk3_esk1_0),
    inference(rewriting,[status(thm)],[c_1880]) ).

cnf(c_150757,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_871,c_1881]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP012+5 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 14 13:49:37 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.12/0.39  % Orienting using strategy Equiv(ClausalAll)
% 0.12/0.39  % FOF problem with conjecture
% 0.12/0.39  % 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_83f5bb.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_94997e.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_c7914a | grep -v "SZS"
% 0.20/0.41  
% 0.20/0.41  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.41  
% 0.20/0.41  % 
% 0.20/0.41  % ------  iProver source info 
% 0.20/0.41  
% 0.20/0.41  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.41  % git: non_committed_changes: true
% 0.20/0.41  % git: last_make_outside_of_git: true
% 0.20/0.41  
% 0.20/0.41  % 
% 0.20/0.41  % ------ Input Options
% 0.20/0.41  
% 0.20/0.41  % --out_options                         all
% 0.20/0.41  % --tptp_safe_out                       true
% 0.20/0.41  % --problem_path                        ""
% 0.20/0.41  % --include_path                        ""
% 0.20/0.41  % --clausifier                          .//eprover
% 0.20/0.41  % --clausifier_options                  --tstp-format  
% 0.20/0.41  % --stdin                               false
% 0.20/0.41  % --dbg_backtrace                       false
% 0.20/0.41  % --dbg_dump_prop_clauses               false
% 0.20/0.41  % --dbg_dump_prop_clauses_file          -
% 0.20/0.41  % --dbg_out_stat                        false
% 0.20/0.41  
% 0.20/0.41  % ------ General Options
% 0.20/0.41  
% 0.20/0.41  % --fof                                 false
% 0.20/0.41  % --time_out_real                       150.
% 0.20/0.41  % --time_out_prep_mult                  0.2
% 0.20/0.41  % --time_out_virtual                    -1.
% 0.20/0.41  % --schedule                            none
% 0.20/0.41  % --ground_splitting                    input
% 0.20/0.41  % --splitting_nvd                       16
% 0.20/0.41  % --non_eq_to_eq                        false
% 0.20/0.41  % --prep_gs_sim                         true
% 0.20/0.41  % --prep_unflatten                      false
% 0.20/0.41  % --prep_res_sim                        true
% 0.20/0.41  % --prep_upred                          true
% 0.20/0.41  % --res_sim_input                       true
% 0.20/0.41  % --clause_weak_htbl                    true
% 0.20/0.41  % --gc_record_bc_elim                   false
% 0.20/0.41  % --symbol_type_check                   false
% 0.20/0.41  % --clausify_out                        false
% 0.20/0.41  % --large_theory_mode                   false
% 0.20/0.41  % --prep_sem_filter                     none
% 0.20/0.41  % --prep_sem_filter_out                 false
% 0.20/0.41  % --preprocessed_out                    false
% 0.20/0.41  % --sub_typing                          false
% 0.20/0.41  % --brand_transform                     false
% 0.20/0.41  % --pure_diseq_elim                     true
% 0.20/0.41  % --min_unsat_core                      false
% 0.20/0.41  % --pred_elim                           true
% 0.20/0.41  % --add_important_lit                   false
% 0.20/0.41  % --soft_assumptions                    false
% 0.20/0.41  % --reset_solvers                       false
% 0.20/0.41  % --bc_imp_inh                          []
% 0.20/0.41  % --conj_cone_tolerance                 1.5
% 0.20/0.41  % --prolific_symb_bound                 500
% 0.20/0.41  % --lt_threshold                        2000
% 0.20/0.41  
% 0.20/0.41  % ------ SAT Options
% 0.20/0.41  
% 0.20/0.41  % --sat_mode                            false
% 0.20/0.41  % --sat_fm_restart_options              ""
% 0.20/0.41  % --sat_gr_def                          false
% 0.20/0.41  % --sat_epr_types                       true
% 0.20/0.41  % --sat_non_cyclic_types                false
% 0.20/0.41  % --sat_finite_models                   false
% 0.20/0.41  % --sat_fm_lemmas                       false
% 0.20/0.41  % --sat_fm_prep                         false
% 0.20/0.41  % --sat_fm_uc_incr                      true
% 0.20/0.41  % --sat_out_model                       small
% 0.20/0.41  % --sat_out_clauses                     false
% 0.20/0.41  
% 0.20/0.41  % ------ QBF Options
% 0.20/0.41  
% 0.20/0.41  % --qbf_mode                            false
% 0.20/0.41  % --qbf_elim_univ                       true
% 0.20/0.41  % --qbf_sk_in                           true
% 0.20/0.41  % --qbf_pred_elim                       true
% 0.20/0.41  % --qbf_split                           32
% 0.20/0.41  
% 0.20/0.41  % ------ BMC1 Options
% 0.20/0.41  
% 0.20/0.41  % --bmc1_incremental                    false
% 0.20/0.41  % --bmc1_axioms                         reachable_all
% 0.20/0.41  % --bmc1_min_bound                      0
% 0.20/0.41  % --bmc1_max_bound                      -1
% 0.20/0.41  % --bmc1_max_bound_default              -1
% 0.20/0.41  % --bmc1_symbol_reachability            true
% 0.20/0.41  % --bmc1_property_lemmas                false
% 0.20/0.41  % --bmc1_k_induction                    false
% 0.20/0.41  % --bmc1_non_equiv_states               false
% 0.20/0.41  % --bmc1_deadlock                       false
% 0.20/0.41  % --bmc1_ucm                            false
% 0.20/0.41  % --bmc1_add_unsat_core                 none
% 0.20/0.41  % --bmc1_unsat_core_children            false
% 0.20/0.41  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.41  % --bmc1_out_stat                       full
% 0.20/0.41  % --bmc1_ground_init                    false
% 0.20/0.41  % --bmc1_pre_inst_next_state            false
% 0.20/0.41  % --bmc1_pre_inst_state                 false
% 0.20/0.41  % --bmc1_pre_inst_reach_state           false
% 0.20/0.41  % --bmc1_out_unsat_core                 false
% 0.20/0.41  % --bmc1_aig_witness_out                false
% 0.20/0.41  % --bmc1_verbose                        false
% 0.20/0.41  % --bmc1_dump_clauses_tptp              false
% 0.20/0.42  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.42  % --bmc1_dump_file                      -
% 0.20/0.42  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.42  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.42  % --bmc1_ucm_extend_mode                1
% 0.20/0.42  % --bmc1_ucm_init_mode                  2
% 0.20/0.42  % --bmc1_ucm_cone_mode                  none
% 0.20/0.42  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.42  % --bmc1_ucm_relax_model                4
% 0.20/0.42  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.42  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.42  % --bmc1_ucm_layered_model              none
% 0.20/0.42  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.42  
% 0.20/0.42  % ------ AIG Options
% 0.20/0.42  
% 0.20/0.42  % --aig_mode                            false
% 0.20/0.42  
% 0.20/0.42  % ------ Instantiation Options
% 0.20/0.42  
% 0.20/0.42  % --instantiation_flag                  true
% 0.20/0.42  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.42  % --inst_solver_per_active              750
% 0.20/0.42  % --inst_solver_calls_frac              0.5
% 0.20/0.42  % --inst_passive_queue_type             priority_queues
% 0.20/0.42  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.42  % --inst_passive_queues_freq            [25;2]
% 0.20/0.42  % --inst_dismatching                    true
% 0.20/0.42  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.42  % --inst_prop_sim_given                 true
% 0.20/0.42  % --inst_prop_sim_new                   false
% 0.20/0.42  % --inst_orphan_elimination             true
% 0.20/0.42  % --inst_learning_loop_flag             true
% 0.20/0.42  % --inst_learning_start                 3000
% 0.20/0.42  % --inst_learning_factor                2
% 0.20/0.42  % --inst_start_prop_sim_after_learn     3
% 0.20/0.42  % --inst_sel_renew                      solver
% 0.20/0.42  % --inst_lit_activity_flag              true
% 0.20/0.42  % --inst_out_proof                      true
% 0.20/0.42  
% 0.20/0.42  % ------ Resolution Options
% 0.20/0.42  
% 0.20/0.42  % --resolution_flag                     true
% 0.20/0.42  % --res_lit_sel                         kbo_max
% 0.20/0.42  % --res_to_prop_solver                  none
% 0.20/0.42  % --res_prop_simpl_new                  false
% 0.20/0.42  % --res_prop_simpl_given                false
% 0.20/0.42  % --res_passive_queue_type              priority_queues
% 0.20/0.42  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.42  % --res_passive_queues_freq             [15;5]
% 0.20/0.42  % --res_forward_subs                    full
% 0.20/0.42  % --res_backward_subs                   full
% 0.20/0.42  % --res_forward_subs_resolution         true
% 0.20/0.42  % --res_backward_subs_resolution        true
% 0.20/0.42  % --res_orphan_elimination              false
% 0.20/0.42  % --res_time_limit                      1000.
% 0.20/0.42  % --res_out_proof                       true
% 0.20/0.42  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_83f5bb.s
% 0.20/0.42  % --modulo                              true
% 0.20/0.42  
% 0.20/0.42  % ------ Combination Options
% 0.20/0.42  
% 0.20/0.42  % --comb_res_mult                       1000
% 0.20/0.42  % --comb_inst_mult                      300
% 0.20/0.42  % ------ 
% 0.20/0.42  
% 0.20/0.42  % ------ Parsing...% successful
% 0.20/0.42  
% 0.20/0.42  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.20/0.42  
% 0.20/0.42  % ------ Proving...
% 0.20/0.42  % ------ Problem Properties 
% 0.20/0.42  
% 0.20/0.42  % 
% 0.20/0.42  % EPR                                   false
% 0.20/0.42  % Horn                                  true
% 0.20/0.42  % Has equality                          false
% 0.20/0.42  
% 0.20/0.42  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  % % ------ Current options:
% 0.20/0.42  
% 0.20/0.42  % ------ Input Options
% 0.20/0.42  
% 0.20/0.42  % --out_options                         all
% 0.20/0.42  % --tptp_safe_out                       true
% 0.20/0.42  % --problem_path                        ""
% 0.20/0.42  % --include_path                        ""
% 0.20/0.42  % --clausifier                          .//eprover
% 0.20/0.42  % --clausifier_options                  --tstp-format  
% 0.20/0.42  % --stdin                               false
% 0.20/0.42  % --dbg_backtrace                       false
% 0.20/0.42  % --dbg_dump_prop_clauses               false
% 0.20/0.42  % --dbg_dump_prop_clauses_file          -
% 0.20/0.42  % --dbg_out_stat                        false
% 0.20/0.42  
% 0.20/0.42  % ------ General Options
% 0.20/0.42  
% 0.20/0.42  % --fof                                 false
% 0.20/0.42  % --time_out_real                       150.
% 0.20/0.42  % --time_out_prep_mult                  0.2
% 0.20/0.42  % --time_out_virtual                    -1.
% 0.20/0.42  % --schedule                            none
% 0.20/0.42  % --ground_splitting                    input
% 0.20/0.42  % --splitting_nvd                       16
% 0.20/0.42  % --non_eq_to_eq                        false
% 0.20/0.42  % --prep_gs_sim                         true
% 0.20/0.42  % --prep_unflatten                      false
% 0.20/0.42  % --prep_res_sim                        true
% 0.20/0.42  % --prep_upred                          true
% 0.20/0.42  % --res_sim_input                       true
% 0.20/0.42  % --clause_weak_htbl                    true
% 0.20/0.42  % --gc_record_bc_elim                   false
% 0.20/0.42  % --symbol_type_check                   false
% 0.20/0.42  % --clausify_out                        false
% 0.20/0.42  % --large_theory_mode                   false
% 0.20/0.42  % --prep_sem_filter                     none
% 0.20/0.42  % --prep_sem_filter_out                 false
% 0.20/0.42  % --preprocessed_out                    false
% 0.20/0.42  % --sub_typing                          false
% 0.20/0.42  % --brand_transform                     false
% 0.20/0.42  % --pure_diseq_elim                     true
% 0.20/0.42  % --min_unsat_core                      false
% 0.20/0.42  % --pred_elim                           true
% 0.20/0.42  % --add_important_lit                   false
% 0.20/0.42  % --soft_assumptions                    false
% 0.20/0.42  % --reset_solvers                       false
% 0.20/0.42  % --bc_imp_inh                          []
% 0.20/0.42  % --conj_cone_tolerance                 1.5
% 0.20/0.42  % --prolific_symb_bound                 500
% 0.20/0.42  % --lt_threshold                        2000
% 0.20/0.42  
% 0.20/0.42  % ------ SAT Options
% 0.20/0.42  
% 0.20/0.42  % --sat_mode                            false
% 0.20/0.42  % --sat_fm_restart_options              ""
% 0.20/0.42  % --sat_gr_def                          false
% 0.20/0.42  % --sat_epr_types                       true
% 0.20/0.42  % --sat_non_cyclic_types                false
% 0.20/0.42  % --sat_finite_models                   false
% 0.20/0.42  % --sat_fm_lemmas                       false
% 0.20/0.42  % --sat_fm_prep                         false
% 0.20/0.42  % --sat_fm_uc_incr                      true
% 0.20/0.42  % --sat_out_model                       small
% 0.20/0.42  % --sat_out_clauses                     false
% 0.20/0.42  
% 0.20/0.42  % ------ QBF Options
% 0.20/0.42  
% 0.20/0.42  % --qbf_mode                            false
% 0.20/0.42  % --qbf_elim_univ                       true
% 0.20/0.42  % --qbf_sk_in                           true
% 0.20/0.42  % --qbf_pred_elim                       true
% 0.20/0.42  % --qbf_split                           32
% 0.20/0.42  
% 0.20/0.42  % ------ BMC1 Options
% 0.20/0.42  
% 0.20/0.42  % --bmc1_incremental                    false
% 0.20/0.42  % --bmc1_axioms                         reachable_all
% 0.20/0.42  % --bmc1_min_bound                      0
% 0.20/0.42  % --bmc1_max_bound                      -1
% 0.20/0.42  % --bmc1_max_bound_default              -1
% 0.20/0.42  % --bmc1_symbol_reachability            true
% 0.20/0.42  % --bmc1_property_lemmas                false
% 0.20/0.42  % --bmc1_k_induction                    false
% 0.20/0.42  % --bmc1_non_equiv_states               false
% 0.20/0.42  % --bmc1_deadlock                       false
% 0.20/0.42  % --bmc1_ucm                            false
% 0.20/0.42  % --bmc1_add_unsat_core                 none
% 0.20/0.42  % --bmc1_unsat_core_children            false
% 0.20/0.42  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.42  % --bmc1_out_stat                       full
% 0.20/0.42  % --bmc1_ground_init                    false
% 0.20/0.42  % --bmc1_pre_inst_next_state            false
% 0.20/0.42  % --bmc1_pre_inst_state                 false
% 0.20/0.42  % --bmc1_pre_inst_reach_state           false
% 0.20/0.42  % --bmc1_out_unsat_core                 false
% 0.20/0.42  % --bmc1_aig_witness_out                false
% 0.20/0.42  % --bmc1_verbose                        false
% 0.20/0.42  % --bmc1_dump_clauses_tptp              false
% 0.20/0.42  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.42  % --bmc1_dump_file                      -
% 0.20/0.42  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.42  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.42  % --bmc1_ucm_extend_mode                1
% 0.20/0.42  % --bmc1_ucm_init_mode                  2
% 0.20/0.42  % --bmc1_ucm_cone_mode                  none
% 0.20/0.42  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.42  % --bmc1_ucm_relax_model                4
% 0.20/0.42  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.42  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.42  % --bmc1_ucm_layered_model              none
% 0.20/0.42  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.42  
% 0.20/0.42  % ------ AIG Options
% 0.20/0.42  
% 0.20/0.42  % --aig_mode                            false
% 0.20/0.42  
% 0.20/0.42  % ------ Instantiation Options
% 0.20/0.42  
% 0.20/0.42  % --instantiation_flag                  true
% 0.20/0.42  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.42  % --inst_solver_per_active              750
% 0.20/0.42  % --inst_solver_calls_frac              0.5
% 0.20/0.42  % --inst_passive_queue_type             priority_queues
% 0.20/0.42  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.42  % --inst_passive_queues_freq            [25;2]
% 0.20/0.42  % --inst_dismatching                    true
% 0.20/0.42  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.42  % --inst_prop_sim_given                 true
% 2.42/2.62  % --inst_prop_sim_new                   false
% 2.42/2.62  % --inst_orphan_elimination             true
% 2.42/2.62  % --inst_learning_loop_flag             true
% 2.42/2.62  % --inst_learning_start                 3000
% 2.42/2.62  % --inst_learning_factor                2
% 2.42/2.62  % --inst_start_prop_sim_after_learn     3
% 2.42/2.62  % --inst_sel_renew                      solver
% 2.42/2.62  % --inst_lit_activity_flag              true
% 2.42/2.62  % --inst_out_proof                      true
% 2.42/2.62  
% 2.42/2.62  % ------ Resolution Options
% 2.42/2.62  
% 2.42/2.62  % --resolution_flag                     true
% 2.42/2.62  % --res_lit_sel                         kbo_max
% 2.42/2.62  % --res_to_prop_solver                  none
% 2.42/2.62  % --res_prop_simpl_new                  false
% 2.42/2.62  % --res_prop_simpl_given                false
% 2.42/2.62  % --res_passive_queue_type              priority_queues
% 2.42/2.62  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.42/2.62  % --res_passive_queues_freq             [15;5]
% 2.42/2.62  % --res_forward_subs                    full
% 2.42/2.62  % --res_backward_subs                   full
% 2.42/2.62  % --res_forward_subs_resolution         true
% 2.42/2.62  % --res_backward_subs_resolution        true
% 2.42/2.62  % --res_orphan_elimination              false
% 2.42/2.62  % --res_time_limit                      1000.
% 2.42/2.62  % --res_out_proof                       true
% 2.42/2.62  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_83f5bb.s
% 2.42/2.62  % --modulo                              true
% 2.42/2.62  
% 2.42/2.62  % ------ Combination Options
% 2.42/2.62  
% 2.42/2.62  % --comb_res_mult                       1000
% 2.42/2.62  % --comb_inst_mult                      300
% 2.42/2.62  % ------ 
% 2.42/2.62  
% 2.42/2.62  
% 2.42/2.62  
% 2.42/2.62  % ------ Proving...
% 2.42/2.62  % 
% 2.42/2.62  
% 2.42/2.62  
% 2.42/2.62  %  Resolution empty clause
% 2.42/2.62  
% 2.42/2.62  % ------                             Statistics
% 2.42/2.62  
% 2.42/2.62  % ------ General
% 2.42/2.62  
% 2.42/2.62  % num_of_input_clauses:                 10
% 2.42/2.62  % num_of_input_neg_conjectures:         10
% 2.42/2.62  % num_of_splits:                        0
% 2.42/2.62  % num_of_split_atoms:                   0
% 2.42/2.62  % num_of_sem_filtered_clauses:          0
% 2.42/2.62  % num_of_subtypes:                      0
% 2.42/2.62  % monotx_restored_types:                0
% 2.42/2.62  % sat_num_of_epr_types:                 0
% 2.42/2.62  % sat_num_of_non_cyclic_types:          0
% 2.42/2.62  % sat_guarded_non_collapsed_types:      0
% 2.42/2.62  % is_epr:                               0
% 2.42/2.62  % is_horn:                              1
% 2.42/2.62  % has_eq:                               0
% 2.42/2.62  % num_pure_diseq_elim:                  0
% 2.42/2.62  % simp_replaced_by:                     0
% 2.42/2.62  % res_preprocessed:                     20
% 2.42/2.62  % prep_upred:                           0
% 2.42/2.62  % prep_unflattend:                      0
% 2.42/2.62  % pred_elim_cands:                      0
% 2.42/2.62  % pred_elim:                            0
% 2.42/2.62  % pred_elim_cl:                         0
% 2.42/2.62  % pred_elim_cycles:                     0
% 2.42/2.62  % forced_gc_time:                       0
% 2.42/2.62  % gc_basic_clause_elim:                 0
% 2.42/2.62  % parsing_time:                         0.
% 2.42/2.62  % sem_filter_time:                      0.
% 2.42/2.62  % pred_elim_time:                       0.
% 2.42/2.62  % out_proof_time:                       0.001
% 2.42/2.62  % monotx_time:                          0.
% 2.42/2.62  % subtype_inf_time:                     0.
% 2.42/2.62  % unif_index_cands_time:                0.02
% 2.42/2.62  % unif_index_add_time:                  0.002
% 2.42/2.62  % total_time:                           2.217
% 2.42/2.62  % num_of_symbols:                       33
% 2.42/2.62  % num_of_terms:                         50105
% 2.42/2.62  
% 2.42/2.62  % ------ Propositional Solver
% 2.42/2.62  
% 2.42/2.62  % prop_solver_calls:                    1
% 2.42/2.62  % prop_fast_solver_calls:               48
% 2.42/2.62  % prop_num_of_clauses:                  14
% 2.42/2.62  % prop_preprocess_simplified:           156
% 2.42/2.62  % prop_fo_subsumed:                     0
% 2.42/2.62  % prop_solver_time:                     0.
% 2.42/2.62  % prop_fast_solver_time:                0.
% 2.42/2.62  % prop_unsat_core_time:                 0.
% 2.42/2.62  
% 2.42/2.62  % ------ QBF 
% 2.42/2.62  
% 2.42/2.62  % qbf_q_res:                            0
% 2.42/2.62  % qbf_num_tautologies:                  0
% 2.42/2.62  % qbf_prep_cycles:                      0
% 2.42/2.62  
% 2.42/2.62  % ------ BMC1
% 2.42/2.62  
% 2.42/2.62  % bmc1_current_bound:                   -1
% 2.42/2.62  % bmc1_last_solved_bound:               -1
% 2.42/2.62  % bmc1_unsat_core_size:                 -1
% 2.42/2.62  % bmc1_unsat_core_parents_size:         -1
% 2.42/2.62  % bmc1_merge_next_fun:                  0
% 2.42/2.62  % bmc1_unsat_core_clauses_time:         0.
% 2.42/2.62  
% 2.42/2.62  % ------ Instantiation
% 2.42/2.62  
% 2.42/2.62  % inst_num_of_clauses:                  10
% 2.42/2.62  % inst_num_in_passive:                  0
% 2.42/2.62  % inst_num_in_active:                   0
% 2.42/2.62  % inst_num_in_unprocessed:              10
% 2.42/2.62  % inst_num_of_loops:                    0
% 2.42/2.62  % inst_num_of_learning_restarts:        0
% 2.42/2.62  % inst_num_moves_active_passive:        0
% 2.42/2.62  % inst_lit_activity:                    0
% 2.42/2.62  % inst_lit_activity_moves:              0
% 2.42/2.62  % inst_num_tautologies:                 0
% 2.42/2.62  % inst_num_prop_implied:                0
% 2.42/2.62  % inst_num_existing_simplified:         0
% 2.42/2.62  % inst_num_eq_res_simplified:           0
% 2.42/2.62  % inst_num_child_elim:                  0
% 2.42/2.62  % inst_num_of_dismatching_blockings:    0
% 2.42/2.62  % inst_num_of_non_proper_insts:         0
% 2.42/2.62  % inst_num_of_duplicates:               0
% 2.42/2.62  % inst_inst_num_from_inst_to_res:       0
% 2.42/2.62  % inst_dismatching_checking_time:       0.
% 2.42/2.62  
% 2.42/2.62  % ------ Resolution
% 2.42/2.62  
% 2.42/2.62  % res_num_of_clauses:                   69205
% 2.42/2.62  % res_num_in_passive:                   68397
% 2.42/2.62  % res_num_in_active:                    807
% 2.42/2.62  % res_num_of_loops:                     848
% 2.42/2.62  % res_forward_subset_subsumed:          3674
% 2.42/2.62  % res_backward_subset_subsumed:         0
% 2.42/2.62  % res_forward_subsumed:                 28
% 2.42/2.62  % res_backward_subsumed:                12
% 2.42/2.62  % res_forward_subsumption_resolution:   1
% 2.42/2.62  % res_backward_subsumption_resolution:  0
% 2.42/2.62  % res_clause_to_clause_subsumption:     27019
% 2.42/2.62  % res_orphan_elimination:               0
% 2.42/2.62  % res_tautology_del:                    90
% 2.42/2.62  % res_num_eq_res_simplified:            0
% 2.42/2.62  % res_num_sel_changes:                  0
% 2.42/2.62  % res_moves_from_active_to_pass:        0
% 2.42/2.62  
% 2.42/2.62  % Status Unsatisfiable
% 2.42/2.62  % SZS status Theorem
% 2.42/2.62  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------