TSTP Solution File: SYN056+1 by iProverMo---2.5-0.1

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%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SYN056+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n006.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 : Thu Jul 21 07:22:46 EDT 2022

% Result   : Theorem 0.23s 0.47s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  137 (   9 unt;   0 def)
%            Number of atoms       :  374 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  438 ( 201   ~; 217   |;   8   &)
%                                         (   6 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :  116 (  23 sgn  14   !;   4   ?)

% 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
fof(c_0_0,axiom,
    ! [X1,X2] :
      ( ( big_p(X1)
        & big_q(X2) )
     => ( big_r(X1)
      <=> big_s(X2) ) ),
    file('<stdin>',pel26_2) ).

fof(c_0_1,axiom,
    ( ? [X1] : big_p(X1)
  <=> ? [X2] : big_q(X2) ),
    file('<stdin>',pel26_1) ).

fof(c_0_2,axiom,
    ! [X1,X2] :
      ( ( big_p(X1)
        & big_q(X2) )
     => ( big_r(X1)
      <=> big_s(X2) ) ),
    c_0_0 ).

fof(c_0_3,axiom,
    ( ? [X1] : big_p(X1)
  <=> ? [X2] : big_q(X2) ),
    c_0_1 ).

fof(c_0_4,plain,
    ! [X3,X4] :
      ( ( ~ big_r(X3)
        | big_s(X4)
        | ~ big_p(X3)
        | ~ big_q(X4) )
      & ( ~ big_s(X4)
        | big_r(X3)
        | ~ big_p(X3)
        | ~ big_q(X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_5,plain,
    ! [X3,X5] :
      ( ( ~ big_p(X3)
        | big_q(esk1_0) )
      & ( ~ big_q(X5)
        | big_p(esk2_0) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

cnf(c_0_6,plain,
    ( big_s(X1)
    | ~ big_q(X1)
    | ~ big_p(X2)
    | ~ big_r(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( big_r(X2)
    | ~ big_q(X1)
    | ~ big_p(X2)
    | ~ big_s(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( big_q(esk1_0)
    | ~ big_p(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( big_p(esk2_0)
    | ~ big_q(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    ( big_s(X1)
    | ~ big_q(X1)
    | ~ big_p(X2)
    | ~ big_r(X2) ),
    c_0_6,
    [final] ).

cnf(c_0_11,plain,
    ( big_r(X2)
    | ~ big_q(X1)
    | ~ big_p(X2)
    | ~ big_s(X1) ),
    c_0_7,
    [final] ).

cnf(c_0_12,plain,
    ( big_q(esk1_0)
    | ~ big_p(X1) ),
    c_0_8,
    [final] ).

cnf(c_0_13,plain,
    ( big_p(esk2_0)
    | ~ big_q(X1) ),
    c_0_9,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_10_0,axiom,
    ( big_s(X1)
    | ~ big_q(X1)
    | ~ big_p(X2)
    | ~ big_r(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10]) ).

cnf(c_0_10_1,axiom,
    ( ~ big_q(X1)
    | big_s(X1)
    | ~ big_p(X2)
    | ~ big_r(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10]) ).

cnf(c_0_10_2,axiom,
    ( ~ big_p(X2)
    | ~ big_q(X1)
    | big_s(X1)
    | ~ big_r(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_10]) ).

cnf(c_0_10_3,axiom,
    ( ~ big_r(X2)
    | ~ big_p(X2)
    | ~ big_q(X1)
    | big_s(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_10]) ).

cnf(c_0_11_0,axiom,
    ( big_r(X2)
    | ~ big_q(X1)
    | ~ big_p(X2)
    | ~ big_s(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11]) ).

cnf(c_0_11_1,axiom,
    ( ~ big_q(X1)
    | big_r(X2)
    | ~ big_p(X2)
    | ~ big_s(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11]) ).

cnf(c_0_11_2,axiom,
    ( ~ big_p(X2)
    | ~ big_q(X1)
    | big_r(X2)
    | ~ big_s(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_11]) ).

cnf(c_0_11_3,axiom,
    ( ~ big_s(X1)
    | ~ big_p(X2)
    | ~ big_q(X1)
    | big_r(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_11]) ).

cnf(c_0_12_0,axiom,
    ( big_q(sk2_esk1_0)
    | ~ big_p(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_12]) ).

cnf(c_0_12_1,axiom,
    ( ~ big_p(X1)
    | big_q(sk2_esk1_0) ),
    inference(literals_permutation,[status(thm)],[c_0_12]) ).

cnf(c_0_13_0,axiom,
    ( big_p(sk2_esk2_0)
    | ~ big_q(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_13]) ).

cnf(c_0_13_1,axiom,
    ( ~ big_q(X1)
    | big_p(sk2_esk2_0) ),
    inference(literals_permutation,[status(thm)],[c_0_13]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ( ! [X1] :
        ( big_p(X1)
       => big_r(X1) )
  <=> ! [X2] :
        ( big_q(X2)
       => big_s(X2) ) ),
    file('<stdin>',pel26) ).

fof(c_0_1_002,negated_conjecture,
    ~ ( ! [X1] :
          ( big_p(X1)
         => big_r(X1) )
    <=> ! [X2] :
          ( big_q(X2)
         => big_s(X2) ) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_003,negated_conjecture,
    ! [X5,X6] :
      ( ( big_q(esk2_0)
        | big_p(esk1_0) )
      & ( ~ big_s(esk2_0)
        | big_p(esk1_0) )
      & ( big_q(esk2_0)
        | ~ big_r(esk1_0) )
      & ( ~ big_s(esk2_0)
        | ~ big_r(esk1_0) )
      & ( ~ big_p(X5)
        | big_r(X5)
        | ~ big_q(X6)
        | big_s(X6) ) ),
    inference(distribute,[status(thm)],[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_004,negated_conjecture,
    ( big_s(X1)
    | big_r(X2)
    | ~ big_q(X1)
    | ~ big_p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    ( ~ big_r(esk1_0)
    | ~ big_s(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_006,negated_conjecture,
    ( big_p(esk1_0)
    | ~ big_s(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_007,negated_conjecture,
    ( big_q(esk2_0)
    | ~ big_r(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7_008,negated_conjecture,
    ( big_p(esk1_0)
    | big_q(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8_009,negated_conjecture,
    ( big_s(X1)
    | big_r(X2)
    | ~ big_q(X1)
    | ~ big_p(X2) ),
    c_0_3,
    [final] ).

cnf(c_0_9_010,negated_conjecture,
    ( ~ big_r(esk1_0)
    | ~ big_s(esk2_0) ),
    c_0_4,
    [final] ).

cnf(c_0_10_011,negated_conjecture,
    ( big_p(esk1_0)
    | ~ big_s(esk2_0) ),
    c_0_5,
    [final] ).

cnf(c_0_11_012,negated_conjecture,
    ( big_q(esk2_0)
    | ~ big_r(esk1_0) ),
    c_0_6,
    [final] ).

cnf(c_0_12_013,negated_conjecture,
    ( big_p(esk1_0)
    | big_q(esk2_0) ),
    c_0_7,
    [final] ).

% End CNF derivation

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

cnf(c_15,negated_conjecture,
    ( big_q(sk3_esk2_0)
    | ~ big_r(sk3_esk1_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3df081.p',c_0_11) ).

cnf(c_40,negated_conjecture,
    ( big_q(sk3_esk2_0)
    | ~ big_r(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_15]) ).

cnf(c_60,negated_conjecture,
    ( big_q(sk3_esk2_0)
    | ~ big_r(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_40]) ).

cnf(c_69,negated_conjecture,
    ( big_q(sk3_esk2_0)
    | ~ big_r(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_60]) ).

cnf(c_109,negated_conjecture,
    ( big_q(sk3_esk2_0)
    | ~ big_r(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_69]) ).

cnf(c_162,negated_conjecture,
    ( big_q(sk3_esk2_0)
    | ~ big_r(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_109]) ).

cnf(c_4,plain,
    ( ~ big_s(X0)
    | ~ big_p(X1)
    | ~ big_q(X0)
    | big_r(X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3df081.p',c_0_11_0) ).

cnf(c_136,plain,
    ( ~ big_s(X0)
    | ~ big_p(X1)
    | ~ big_q(X0)
    | big_r(X1) ),
    inference(copy,[status(esa)],[c_4]) ).

cnf(c_137,plain,
    ( ~ big_s(X0)
    | ~ big_q(X0)
    | ~ big_p(X1)
    | big_r(X1) ),
    inference(rewriting,[status(thm)],[c_136]) ).

cnf(c_176,plain,
    ( ~ big_s(X0)
    | big_q(sk3_esk2_0)
    | ~ big_q(X0)
    | ~ big_p(sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_162,c_137]) ).

cnf(c_177,plain,
    ( ~ big_s(X0)
    | big_q(sk3_esk2_0)
    | ~ big_q(X0)
    | ~ big_p(sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_176]) ).

cnf(c_16,negated_conjecture,
    ( big_q(sk3_esk2_0)
    | big_p(sk3_esk1_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3df081.p',c_0_12) ).

cnf(c_42,negated_conjecture,
    ( big_q(sk3_esk2_0)
    | big_p(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_16]) ).

cnf(c_61,negated_conjecture,
    ( big_q(sk3_esk2_0)
    | big_p(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_42]) ).

cnf(c_68,negated_conjecture,
    ( big_q(sk3_esk2_0)
    | big_p(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_61]) ).

cnf(c_104,negated_conjecture,
    ( big_q(sk3_esk2_0)
    | big_p(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_68]) ).

cnf(c_152,negated_conjecture,
    ( big_q(sk3_esk2_0)
    | big_p(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_104]) ).

cnf(c_224,plain,
    ( ~ big_s(X0)
    | big_q(sk3_esk2_0)
    | ~ big_q(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_177,c_152]) ).

cnf(c_225,plain,
    ( ~ big_s(X0)
    | big_q(sk3_esk2_0)
    | ~ big_q(X0) ),
    inference(rewriting,[status(thm)],[c_224]) ).

cnf(c_8,plain,
    ( ~ big_p(X0)
    | big_q(sk2_esk1_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3df081.p',c_0_12_0) ).

cnf(c_144,plain,
    ( ~ big_p(X0)
    | big_q(sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_8]) ).

cnf(c_145,plain,
    ( big_q(sk2_esk1_0)
    | ~ big_p(X0) ),
    inference(rewriting,[status(thm)],[c_144]) ).

cnf(c_229,plain,
    ( ~ big_s(sk2_esk1_0)
    | big_q(sk3_esk2_0)
    | ~ big_p(X0) ),
    inference(resolution,[status(thm)],[c_225,c_145]) ).

cnf(c_230,plain,
    ( ~ big_s(sk2_esk1_0)
    | big_q(sk3_esk2_0)
    | ~ big_p(X0) ),
    inference(rewriting,[status(thm)],[c_229]) ).

cnf(c_12,negated_conjecture,
    ( big_s(X0)
    | ~ big_q(X0)
    | ~ big_p(X1)
    | big_r(X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3df081.p',c_0_8) ).

cnf(c_27,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split,sP0_iProver_split])],[c_12]) ).

cnf(c_34,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split ),
    inference(copy,[status(esa)],[c_27]) ).

cnf(c_64,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split ),
    inference(copy,[status(esa)],[c_34]) ).

cnf(c_65,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split ),
    inference(copy,[status(esa)],[c_64]) ).

cnf(c_23,negated_conjecture,
    ( big_s(X0)
    | ~ big_q(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_12]) ).

cnf(c_26,negated_conjecture,
    ( big_s(X0)
    | ~ big_q(X0)
    | ~ sP1_iProver_split ),
    inference(copy,[status(esa)],[c_23]) ).

cnf(c_32,negated_conjecture,
    ( big_s(X0)
    | ~ big_q(X0)
    | ~ sP1_iProver_split ),
    inference(copy,[status(esa)],[c_26]) ).

cnf(c_63,negated_conjecture,
    ( big_s(X0)
    | ~ big_q(X0)
    | ~ sP1_iProver_split ),
    inference(copy,[status(esa)],[c_32]) ).

cnf(c_66,negated_conjecture,
    ( big_s(X0)
    | ~ big_q(X0)
    | ~ sP1_iProver_split ),
    inference(copy,[status(esa)],[c_63]) ).

cnf(c_72,plain,
    ( big_s(X0)
    | ~ big_q(X0)
    | sP0_iProver_split ),
    inference(resolution,[status(thm)],[c_65,c_66]) ).

cnf(c_83,plain,
    ( big_s(X0)
    | ~ big_q(X0)
    | sP0_iProver_split ),
    inference(copy,[status(esa)],[c_72]) ).

cnf(c_87,plain,
    ( big_s(X0)
    | ~ big_q(X0)
    | sP0_iProver_split ),
    inference(copy,[status(esa)],[c_83]) ).

cnf(c_106,plain,
    ( big_s(X0)
    | ~ big_q(X0)
    | sP0_iProver_split ),
    inference(copy,[status(esa)],[c_87]) ).

cnf(c_156,plain,
    ( big_s(X0)
    | ~ big_q(X0)
    | sP0_iProver_split ),
    inference(copy,[status(esa)],[c_106]) ).

cnf(c_200,plain,
    ( big_s(sk2_esk1_0)
    | ~ big_p(X0)
    | sP0_iProver_split ),
    inference(resolution,[status(thm)],[c_156,c_145]) ).

cnf(c_201,plain,
    ( big_s(sk2_esk1_0)
    | ~ big_p(X0)
    | sP0_iProver_split ),
    inference(rewriting,[status(thm)],[c_200]) ).

cnf(c_255,plain,
    ( big_s(sk2_esk1_0)
    | big_q(sk3_esk2_0)
    | sP0_iProver_split ),
    inference(resolution,[status(thm)],[c_201,c_152]) ).

cnf(c_256,plain,
    ( big_s(sk2_esk1_0)
    | big_q(sk3_esk2_0)
    | sP0_iProver_split ),
    inference(rewriting,[status(thm)],[c_255]) ).

cnf(c_22,negated_conjecture,
    ( ~ big_p(X0)
    | big_r(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_12]) ).

cnf(c_25,negated_conjecture,
    ( ~ big_p(X0)
    | big_r(X0)
    | ~ sP0_iProver_split ),
    inference(copy,[status(esa)],[c_22]) ).

cnf(c_30,negated_conjecture,
    ( ~ big_p(X0)
    | big_r(X0)
    | ~ sP0_iProver_split ),
    inference(copy,[status(esa)],[c_25]) ).

cnf(c_62,negated_conjecture,
    ( ~ big_p(X0)
    | big_r(X0)
    | ~ sP0_iProver_split ),
    inference(copy,[status(esa)],[c_30]) ).

cnf(c_67,negated_conjecture,
    ( ~ big_p(X0)
    | big_r(X0)
    | ~ sP0_iProver_split ),
    inference(copy,[status(esa)],[c_62]) ).

cnf(c_105,negated_conjecture,
    ( ~ big_p(X0)
    | big_r(X0)
    | ~ sP0_iProver_split ),
    inference(copy,[status(esa)],[c_67]) ).

cnf(c_154,negated_conjecture,
    ( ~ big_p(X0)
    | big_r(X0)
    | ~ sP0_iProver_split ),
    inference(copy,[status(esa)],[c_105]) ).

cnf(c_191,plain,
    ( big_q(sk3_esk2_0)
    | ~ big_p(sk3_esk1_0)
    | ~ sP0_iProver_split ),
    inference(resolution,[status(thm)],[c_154,c_162]) ).

cnf(c_192,plain,
    ( big_q(sk3_esk2_0)
    | ~ big_p(sk3_esk1_0)
    | ~ sP0_iProver_split ),
    inference(rewriting,[status(thm)],[c_191]) ).

cnf(c_205,plain,
    ( big_q(sk3_esk2_0)
    | ~ sP0_iProver_split ),
    inference(forward_subsumption_resolution,[status(thm)],[c_192,c_152]) ).

cnf(c_206,plain,
    ( big_q(sk3_esk2_0)
    | ~ sP0_iProver_split ),
    inference(rewriting,[status(thm)],[c_205]) ).

cnf(c_261,plain,
    ( big_s(sk2_esk1_0)
    | big_q(sk3_esk2_0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_256,c_206]) ).

cnf(c_262,plain,
    ( big_s(sk2_esk1_0)
    | big_q(sk3_esk2_0) ),
    inference(rewriting,[status(thm)],[c_261]) ).

cnf(c_287,plain,
    ( big_q(sk3_esk2_0)
    | ~ big_p(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_230,c_262]) ).

cnf(c_288,plain,
    ( big_q(sk3_esk2_0)
    | ~ big_p(X0) ),
    inference(rewriting,[status(thm)],[c_287]) ).

cnf(c_291,negated_conjecture,
    big_q(sk3_esk2_0),
    inference(backward_subsumption_resolution,[status(thm)],[c_288,c_152]) ).

cnf(c_292,plain,
    big_q(sk3_esk2_0),
    inference(rewriting,[status(thm)],[c_291]) ).

cnf(c_13,negated_conjecture,
    ( ~ big_s(sk3_esk2_0)
    | ~ big_r(sk3_esk1_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3df081.p',c_0_9) ).

cnf(c_36,negated_conjecture,
    ( ~ big_s(sk3_esk2_0)
    | ~ big_r(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_13]) ).

cnf(c_58,negated_conjecture,
    ( ~ big_s(sk3_esk2_0)
    | ~ big_r(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_36]) ).

cnf(c_71,negated_conjecture,
    ( ~ big_s(sk3_esk2_0)
    | ~ big_r(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_58]) ).

cnf(c_107,negated_conjecture,
    ( ~ big_s(sk3_esk2_0)
    | ~ big_r(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_71]) ).

cnf(c_158,negated_conjecture,
    ( ~ big_s(sk3_esk2_0)
    | ~ big_r(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_107]) ).

cnf(c_182,plain,
    ( ~ big_s(sk3_esk2_0)
    | ~ big_s(X0)
    | ~ big_q(X0)
    | ~ big_p(sk3_esk1_0) ),
    inference(resolution,[status(thm)],[c_158,c_137]) ).

cnf(c_183,plain,
    ( ~ big_s(sk3_esk2_0)
    | ~ big_s(X0)
    | ~ big_q(X0)
    | ~ big_p(sk3_esk1_0) ),
    inference(rewriting,[status(thm)],[c_182]) ).

cnf(c_14,negated_conjecture,
    ( ~ big_s(sk3_esk2_0)
    | big_p(sk3_esk1_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3df081.p',c_0_10) ).

cnf(c_38,negated_conjecture,
    ( ~ big_s(sk3_esk2_0)
    | big_p(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_14]) ).

cnf(c_59,negated_conjecture,
    ( ~ big_s(sk3_esk2_0)
    | big_p(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_38]) ).

cnf(c_70,negated_conjecture,
    ( ~ big_s(sk3_esk2_0)
    | big_p(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_59]) ).

cnf(c_108,negated_conjecture,
    ( ~ big_s(sk3_esk2_0)
    | big_p(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_70]) ).

cnf(c_160,negated_conjecture,
    ( ~ big_s(sk3_esk2_0)
    | big_p(sk3_esk1_0) ),
    inference(copy,[status(esa)],[c_108]) ).

cnf(c_237,plain,
    ( ~ big_s(sk3_esk2_0)
    | ~ big_s(X0)
    | ~ big_q(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_183,c_160]) ).

cnf(c_238,plain,
    ( ~ big_s(sk3_esk2_0)
    | ~ big_s(X0)
    | ~ big_q(X0) ),
    inference(rewriting,[status(thm)],[c_237]) ).

cnf(c_295,plain,
    ~ big_s(sk3_esk2_0),
    inference(resolution,[status(thm)],[c_292,c_238]) ).

cnf(c_298,plain,
    ~ big_s(sk3_esk2_0),
    inference(rewriting,[status(thm)],[c_295]) ).

cnf(c_296,plain,
    ( big_s(sk3_esk2_0)
    | sP0_iProver_split ),
    inference(resolution,[status(thm)],[c_292,c_156]) ).

cnf(c_297,plain,
    ( big_s(sk3_esk2_0)
    | sP0_iProver_split ),
    inference(rewriting,[status(thm)],[c_296]) ).

cnf(c_307,plain,
    sP0_iProver_split,
    inference(backward_subsumption_resolution,[status(thm)],[c_298,c_297]) ).

cnf(c_308,plain,
    sP0_iProver_split,
    inference(rewriting,[status(thm)],[c_307]) ).

cnf(c_313,negated_conjecture,
    ( ~ big_p(X0)
    | big_r(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_308,c_154]) ).

cnf(c_314,plain,
    ( ~ big_p(X0)
    | big_r(X0) ),
    inference(rewriting,[status(thm)],[c_313]) ).

cnf(c_0,plain,
    ( ~ big_r(X0)
    | ~ big_p(X0)
    | ~ big_q(X1)
    | big_s(X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3df081.p',c_0_10_0) ).

cnf(c_128,plain,
    ( ~ big_r(X0)
    | ~ big_p(X0)
    | ~ big_q(X1)
    | big_s(X1) ),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_129,plain,
    ( big_s(X0)
    | ~ big_q(X0)
    | ~ big_p(X1)
    | ~ big_r(X1) ),
    inference(rewriting,[status(thm)],[c_128]) ).

cnf(c_319,plain,
    ( big_s(X0)
    | ~ big_q(X0)
    | ~ big_p(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_314,c_129]) ).

cnf(c_320,plain,
    ( big_s(X0)
    | ~ big_q(X0)
    | ~ big_p(X1) ),
    inference(rewriting,[status(thm)],[c_319]) ).

cnf(c_10,plain,
    ( ~ big_q(X0)
    | big_p(sk2_esk2_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_3df081.p',c_0_13_0) ).

cnf(c_148,plain,
    ( ~ big_q(X0)
    | big_p(sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_10]) ).

cnf(c_327,plain,
    ( big_s(X0)
    | ~ big_q(X0)
    | ~ big_q(X1) ),
    inference(resolution,[status(thm)],[c_320,c_148]) ).

cnf(c_328,plain,
    ( big_s(X0)
    | ~ big_q(X0)
    | ~ big_q(X1) ),
    inference(rewriting,[status(thm)],[c_327]) ).

cnf(c_337,plain,
    ( big_s(X0)
    | ~ big_q(X0) ),
    inference(resolution,[status(thm)],[c_328,c_292]) ).

cnf(c_338,plain,
    ( big_s(X0)
    | ~ big_q(X0) ),
    inference(rewriting,[status(thm)],[c_337]) ).

cnf(c_345,plain,
    big_s(sk3_esk2_0),
    inference(resolution,[status(thm)],[c_338,c_292]) ).

cnf(c_346,plain,
    big_s(sk3_esk2_0),
    inference(rewriting,[status(thm)],[c_345]) ).

cnf(c_348,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_346,c_298]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN056+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.14  % Command  : iprover_modulo %s %d
% 0.15/0.36  % Computer : n006.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jul 11 22:02:50 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.23/0.37  % Running in mono-core mode
% 0.23/0.43  % Orienting using strategy Equiv(ClausalAll)
% 0.23/0.43  % FOF problem with conjecture
% 0.23/0.43  % 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_b8d35c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_3df081.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_33a3b0 | grep -v "SZS"
% 0.23/0.46  
% 0.23/0.46  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.23/0.46  
% 0.23/0.46  % 
% 0.23/0.46  % ------  iProver source info 
% 0.23/0.46  
% 0.23/0.46  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.23/0.46  % git: non_committed_changes: true
% 0.23/0.46  % git: last_make_outside_of_git: true
% 0.23/0.46  
% 0.23/0.46  % 
% 0.23/0.46  % ------ Input Options
% 0.23/0.46  
% 0.23/0.46  % --out_options                         all
% 0.23/0.46  % --tptp_safe_out                       true
% 0.23/0.46  % --problem_path                        ""
% 0.23/0.46  % --include_path                        ""
% 0.23/0.46  % --clausifier                          .//eprover
% 0.23/0.46  % --clausifier_options                  --tstp-format  
% 0.23/0.46  % --stdin                               false
% 0.23/0.46  % --dbg_backtrace                       false
% 0.23/0.46  % --dbg_dump_prop_clauses               false
% 0.23/0.46  % --dbg_dump_prop_clauses_file          -
% 0.23/0.46  % --dbg_out_stat                        false
% 0.23/0.46  
% 0.23/0.46  % ------ General Options
% 0.23/0.46  
% 0.23/0.46  % --fof                                 false
% 0.23/0.46  % --time_out_real                       150.
% 0.23/0.46  % --time_out_prep_mult                  0.2
% 0.23/0.46  % --time_out_virtual                    -1.
% 0.23/0.46  % --schedule                            none
% 0.23/0.46  % --ground_splitting                    input
% 0.23/0.46  % --splitting_nvd                       16
% 0.23/0.46  % --non_eq_to_eq                        false
% 0.23/0.46  % --prep_gs_sim                         true
% 0.23/0.46  % --prep_unflatten                      false
% 0.23/0.46  % --prep_res_sim                        true
% 0.23/0.46  % --prep_upred                          true
% 0.23/0.46  % --res_sim_input                       true
% 0.23/0.46  % --clause_weak_htbl                    true
% 0.23/0.46  % --gc_record_bc_elim                   false
% 0.23/0.46  % --symbol_type_check                   false
% 0.23/0.46  % --clausify_out                        false
% 0.23/0.46  % --large_theory_mode                   false
% 0.23/0.46  % --prep_sem_filter                     none
% 0.23/0.46  % --prep_sem_filter_out                 false
% 0.23/0.46  % --preprocessed_out                    false
% 0.23/0.46  % --sub_typing                          false
% 0.23/0.46  % --brand_transform                     false
% 0.23/0.46  % --pure_diseq_elim                     true
% 0.23/0.46  % --min_unsat_core                      false
% 0.23/0.46  % --pred_elim                           true
% 0.23/0.46  % --add_important_lit                   false
% 0.23/0.46  % --soft_assumptions                    false
% 0.23/0.46  % --reset_solvers                       false
% 0.23/0.46  % --bc_imp_inh                          []
% 0.23/0.46  % --conj_cone_tolerance                 1.5
% 0.23/0.46  % --prolific_symb_bound                 500
% 0.23/0.46  % --lt_threshold                        2000
% 0.23/0.46  
% 0.23/0.46  % ------ SAT Options
% 0.23/0.46  
% 0.23/0.46  % --sat_mode                            false
% 0.23/0.46  % --sat_fm_restart_options              ""
% 0.23/0.46  % --sat_gr_def                          false
% 0.23/0.46  % --sat_epr_types                       true
% 0.23/0.46  % --sat_non_cyclic_types                false
% 0.23/0.46  % --sat_finite_models                   false
% 0.23/0.46  % --sat_fm_lemmas                       false
% 0.23/0.46  % --sat_fm_prep                         false
% 0.23/0.46  % --sat_fm_uc_incr                      true
% 0.23/0.46  % --sat_out_model                       small
% 0.23/0.46  % --sat_out_clauses                     false
% 0.23/0.46  
% 0.23/0.46  % ------ QBF Options
% 0.23/0.46  
% 0.23/0.46  % --qbf_mode                            false
% 0.23/0.46  % --qbf_elim_univ                       true
% 0.23/0.46  % --qbf_sk_in                           true
% 0.23/0.46  % --qbf_pred_elim                       true
% 0.23/0.46  % --qbf_split                           32
% 0.23/0.46  
% 0.23/0.46  % ------ BMC1 Options
% 0.23/0.46  
% 0.23/0.46  % --bmc1_incremental                    false
% 0.23/0.46  % --bmc1_axioms                         reachable_all
% 0.23/0.46  % --bmc1_min_bound                      0
% 0.23/0.46  % --bmc1_max_bound                      -1
% 0.23/0.46  % --bmc1_max_bound_default              -1
% 0.23/0.46  % --bmc1_symbol_reachability            true
% 0.23/0.46  % --bmc1_property_lemmas                false
% 0.23/0.46  % --bmc1_k_induction                    false
% 0.23/0.46  % --bmc1_non_equiv_states               false
% 0.23/0.46  % --bmc1_deadlock                       false
% 0.23/0.46  % --bmc1_ucm                            false
% 0.23/0.46  % --bmc1_add_unsat_core                 none
% 0.23/0.46  % --bmc1_unsat_core_children            false
% 0.23/0.46  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.23/0.46  % --bmc1_out_stat                       full
% 0.23/0.46  % --bmc1_ground_init                    false
% 0.23/0.46  % --bmc1_pre_inst_next_state            false
% 0.23/0.46  % --bmc1_pre_inst_state                 false
% 0.23/0.46  % --bmc1_pre_inst_reach_state           false
% 0.23/0.46  % --bmc1_out_unsat_core                 false
% 0.23/0.46  % --bmc1_aig_witness_out                false
% 0.23/0.46  % --bmc1_verbose                        false
% 0.23/0.46  % --bmc1_dump_clauses_tptp              false
% 0.23/0.46  % --bmc1_dump_unsat_core_tptp           false
% 0.23/0.46  % --bmc1_dump_file                      -
% 0.23/0.46  % --bmc1_ucm_expand_uc_limit            128
% 0.23/0.46  % --bmc1_ucm_n_expand_iterations        6
% 0.23/0.46  % --bmc1_ucm_extend_mode                1
% 0.23/0.46  % --bmc1_ucm_init_mode                  2
% 0.23/0.46  % --bmc1_ucm_cone_mode                  none
% 0.23/0.46  % --bmc1_ucm_reduced_relation_type      0
% 0.23/0.46  % --bmc1_ucm_relax_model                4
% 0.23/0.46  % --bmc1_ucm_full_tr_after_sat          true
% 0.23/0.46  % --bmc1_ucm_expand_neg_assumptions     false
% 0.23/0.46  % --bmc1_ucm_layered_model              none
% 0.23/0.46  % --bmc1_ucm_max_lemma_size             10
% 0.23/0.46  
% 0.23/0.46  % ------ AIG Options
% 0.23/0.46  
% 0.23/0.46  % --aig_mode                            false
% 0.23/0.46  
% 0.23/0.46  % ------ Instantiation Options
% 0.23/0.46  
% 0.23/0.46  % --instantiation_flag                  true
% 0.23/0.46  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.23/0.46  % --inst_solver_per_active              750
% 0.23/0.46  % --inst_solver_calls_frac              0.5
% 0.23/0.46  % --inst_passive_queue_type             priority_queues
% 0.23/0.46  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.23/0.46  % --inst_passive_queues_freq            [25;2]
% 0.23/0.46  % --inst_dismatching                    true
% 0.23/0.46  % --inst_eager_unprocessed_to_passive   true
% 0.23/0.46  % --inst_prop_sim_given                 true
% 0.23/0.46  % --inst_prop_sim_new                   false
% 0.23/0.46  % --inst_orphan_elimination             true
% 0.23/0.46  % --inst_learning_loop_flag             true
% 0.23/0.46  % --inst_learning_start                 3000
% 0.23/0.46  % --inst_learning_factor                2
% 0.23/0.46  % --inst_start_prop_sim_after_learn     3
% 0.23/0.46  % --inst_sel_renew                      solver
% 0.23/0.46  % --inst_lit_activity_flag              true
% 0.23/0.46  % --inst_out_proof                      true
% 0.23/0.46  
% 0.23/0.46  % ------ Resolution Options
% 0.23/0.46  
% 0.23/0.46  % --resolution_flag                     true
% 0.23/0.46  % --res_lit_sel                         kbo_max
% 0.23/0.46  % --res_to_prop_solver                  none
% 0.23/0.46  % --res_prop_simpl_new                  false
% 0.23/0.46  % --res_prop_simpl_given                false
% 0.23/0.46  % --res_passive_queue_type              priority_queues
% 0.23/0.46  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.23/0.46  % --res_passive_queues_freq             [15;5]
% 0.23/0.46  % --res_forward_subs                    full
% 0.23/0.46  % --res_backward_subs                   full
% 0.23/0.46  % --res_forward_subs_resolution         true
% 0.23/0.46  % --res_backward_subs_resolution        true
% 0.23/0.46  % --res_orphan_elimination              false
% 0.23/0.46  % --res_time_limit                      1000.
% 0.23/0.46  % --res_out_proof                       true
% 0.23/0.46  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_b8d35c.s
% 0.23/0.46  % --modulo                              true
% 0.23/0.46  
% 0.23/0.46  % ------ Combination Options
% 0.23/0.46  
% 0.23/0.46  % --comb_res_mult                       1000
% 0.23/0.46  % --comb_inst_mult                      300
% 0.23/0.46  % ------ 
% 0.23/0.46  
% 0.23/0.46  % ------ Parsing...% successful
% 0.23/0.46  
% 0.23/0.46  % ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe:1:0s pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.23/0.46  
% 0.23/0.46  % ------ Proving...
% 0.23/0.46  % ------ Problem Properties 
% 0.23/0.46  
% 0.23/0.46  % 
% 0.23/0.46  % EPR                                   true
% 0.23/0.46  % Horn                                  false
% 0.23/0.46  % Has equality                          false
% 0.23/0.46  
% 0.23/0.46  % % ------ Input Options Time Limit: Unbounded
% 0.23/0.46  
% 0.23/0.46  
% 0.23/0.46  % % ------ Current options:
% 0.23/0.46  
% 0.23/0.46  % ------ Input Options
% 0.23/0.46  
% 0.23/0.46  % --out_options                         all
% 0.23/0.46  % --tptp_safe_out                       true
% 0.23/0.46  % --problem_path                        ""
% 0.23/0.46  % --include_path                        ""
% 0.23/0.46  % --clausifier                          .//eprover
% 0.23/0.46  % --clausifier_options                  --tstp-format  
% 0.23/0.46  % --stdin                               false
% 0.23/0.46  % --dbg_backtrace                       false
% 0.23/0.46  % --dbg_dump_prop_clauses               false
% 0.23/0.46  % --dbg_dump_prop_clauses_file          -
% 0.23/0.46  % --dbg_out_stat                        false
% 0.23/0.46  
% 0.23/0.46  % ------ General Options
% 0.23/0.46  
% 0.23/0.46  % --fof                                 false
% 0.23/0.46  % --time_out_real                       150.
% 0.23/0.46  % --time_out_prep_mult                  0.2
% 0.23/0.46  % --time_out_virtual                    -1.
% 0.23/0.46  % --schedule                            none
% 0.23/0.46  % --ground_splitting                    input
% 0.23/0.46  % --splitting_nvd                       16
% 0.23/0.46  % --non_eq_to_eq                        false
% 0.23/0.46  % --prep_gs_sim                         true
% 0.23/0.46  % --prep_unflatten                      false
% 0.23/0.46  % --prep_res_sim                        true
% 0.23/0.46  % --prep_upred                          true
% 0.23/0.46  % --res_sim_input                       true
% 0.23/0.46  % --clause_weak_htbl                    true
% 0.23/0.46  % --gc_record_bc_elim                   false
% 0.23/0.46  % --symbol_type_check                   false
% 0.23/0.46  % --clausify_out                        false
% 0.23/0.46  % --large_theory_mode                   false
% 0.23/0.46  % --prep_sem_filter                     none
% 0.23/0.46  % --prep_sem_filter_out                 false
% 0.23/0.46  % --preprocessed_out                    false
% 0.23/0.46  % --sub_typing                          false
% 0.23/0.46  % --brand_transform                     false
% 0.23/0.46  % --pure_diseq_elim                     true
% 0.23/0.46  % --min_unsat_core                      false
% 0.23/0.46  % --pred_elim                           true
% 0.23/0.46  % --add_important_lit                   false
% 0.23/0.46  % --soft_assumptions                    false
% 0.23/0.46  % --reset_solvers                       false
% 0.23/0.46  % --bc_imp_inh                          []
% 0.23/0.46  % --conj_cone_tolerance                 1.5
% 0.23/0.46  % --prolific_symb_bound                 500
% 0.23/0.46  % --lt_threshold                        2000
% 0.23/0.46  
% 0.23/0.46  % ------ SAT Options
% 0.23/0.46  
% 0.23/0.46  % --sat_mode                            false
% 0.23/0.46  % --sat_fm_restart_options              ""
% 0.23/0.46  % --sat_gr_def                          false
% 0.23/0.46  % --sat_epr_types                       true
% 0.23/0.46  % --sat_non_cyclic_types                false
% 0.23/0.46  % --sat_finite_models                   false
% 0.23/0.46  % --sat_fm_lemmas                       false
% 0.23/0.46  % --sat_fm_prep                         false
% 0.23/0.46  % --sat_fm_uc_incr                      true
% 0.23/0.46  % --sat_out_model                       small
% 0.23/0.46  % --sat_out_clauses                     false
% 0.23/0.46  
% 0.23/0.46  % ------ QBF Options
% 0.23/0.46  
% 0.23/0.46  % --qbf_mode                            false
% 0.23/0.46  % --qbf_elim_univ                       true
% 0.23/0.46  % --qbf_sk_in                           true
% 0.23/0.46  % --qbf_pred_elim                       true
% 0.23/0.46  % --qbf_split                           32
% 0.23/0.46  
% 0.23/0.46  % ------ BMC1 Options
% 0.23/0.46  
% 0.23/0.46  % --bmc1_incremental                    false
% 0.23/0.46  % --bmc1_axioms                         reachable_all
% 0.23/0.46  % --bmc1_min_bound                      0
% 0.23/0.46  % --bmc1_max_bound                      -1
% 0.23/0.47  % --bmc1_max_bound_default              -1
% 0.23/0.47  % --bmc1_symbol_reachability            true
% 0.23/0.47  % --bmc1_property_lemmas                false
% 0.23/0.47  % --bmc1_k_induction                    false
% 0.23/0.47  % --bmc1_non_equiv_states               false
% 0.23/0.47  % --bmc1_deadlock                       false
% 0.23/0.47  % --bmc1_ucm                            false
% 0.23/0.47  % --bmc1_add_unsat_core                 none
% 0.23/0.47  % --bmc1_unsat_core_children            false
% 0.23/0.47  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.23/0.47  % --bmc1_out_stat                       full
% 0.23/0.47  % --bmc1_ground_init                    false
% 0.23/0.47  % --bmc1_pre_inst_next_state            false
% 0.23/0.47  % --bmc1_pre_inst_state                 false
% 0.23/0.47  % --bmc1_pre_inst_reach_state           false
% 0.23/0.47  % --bmc1_out_unsat_core                 false
% 0.23/0.47  % --bmc1_aig_witness_out                false
% 0.23/0.47  % --bmc1_verbose                        false
% 0.23/0.47  % --bmc1_dump_clauses_tptp              false
% 0.23/0.47  % --bmc1_dump_unsat_core_tptp           false
% 0.23/0.47  % --bmc1_dump_file                      -
% 0.23/0.47  % --bmc1_ucm_expand_uc_limit            128
% 0.23/0.47  % --bmc1_ucm_n_expand_iterations        6
% 0.23/0.47  % --bmc1_ucm_extend_mode                1
% 0.23/0.47  % --bmc1_ucm_init_mode                  2
% 0.23/0.47  % --bmc1_ucm_cone_mode                  none
% 0.23/0.47  % --bmc1_ucm_reduced_relation_type      0
% 0.23/0.47  % --bmc1_ucm_relax_model                4
% 0.23/0.47  % --bmc1_ucm_full_tr_after_sat          true
% 0.23/0.47  % --bmc1_ucm_expand_neg_assumptions     false
% 0.23/0.47  % --bmc1_ucm_layered_model              none
% 0.23/0.47  % --bmc1_ucm_max_lemma_size             10
% 0.23/0.47  
% 0.23/0.47  % ------ AIG Options
% 0.23/0.47  
% 0.23/0.47  % --aig_mode                            false
% 0.23/0.47  
% 0.23/0.47  % ------ Instantiation Options
% 0.23/0.47  
% 0.23/0.47  % --instantiation_flag                  true
% 0.23/0.47  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.23/0.47  % --inst_solver_per_active              750
% 0.23/0.47  % --inst_solver_calls_frac              0.5
% 0.23/0.47  % --inst_passive_queue_type             priority_queues
% 0.23/0.47  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.23/0.47  % --inst_passive_queues_freq            [25;2]
% 0.23/0.47  % --inst_dismatching                    true
% 0.23/0.47  % --inst_eager_unprocessed_to_passive   true
% 0.23/0.47  % --inst_prop_sim_given                 true
% 0.23/0.47  % --inst_prop_sim_new                   false
% 0.23/0.47  % --inst_orphan_elimination             true
% 0.23/0.47  % --inst_learning_loop_flag             true
% 0.23/0.47  % --inst_learning_start                 3000
% 0.23/0.47  % --inst_learning_factor                2
% 0.23/0.47  % --inst_start_prop_sim_after_learn     3
% 0.23/0.47  % --inst_sel_renew                      solver
% 0.23/0.47  % --inst_lit_activity_flag              true
% 0.23/0.47  % --inst_out_proof                      true
% 0.23/0.47  
% 0.23/0.47  % ------ Resolution Options
% 0.23/0.47  
% 0.23/0.47  % --resolution_flag                     true
% 0.23/0.47  % --res_lit_sel                         kbo_max
% 0.23/0.47  % --res_to_prop_solver                  none
% 0.23/0.47  % --res_prop_simpl_new                  false
% 0.23/0.47  % --res_prop_simpl_given                false
% 0.23/0.47  % --res_passive_queue_type              priority_queues
% 0.23/0.47  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.23/0.47  % --res_passive_queues_freq             [15;5]
% 0.23/0.47  % --res_forward_subs                    full
% 0.23/0.47  % --res_backward_subs                   full
% 0.23/0.47  % --res_forward_subs_resolution         true
% 0.23/0.47  % --res_backward_subs_resolution        true
% 0.23/0.47  % --res_orphan_elimination              false
% 0.23/0.47  % --res_time_limit                      1000.
% 0.23/0.47  % --res_out_proof                       true
% 0.23/0.47  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_b8d35c.s
% 0.23/0.47  % --modulo                              true
% 0.23/0.47  
% 0.23/0.47  % ------ Combination Options
% 0.23/0.47  
% 0.23/0.47  % --comb_res_mult                       1000
% 0.23/0.47  % --comb_inst_mult                      300
% 0.23/0.47  % ------ 
% 0.23/0.47  
% 0.23/0.47  
% 0.23/0.47  
% 0.23/0.47  % ------ Proving...
% 0.23/0.47  % 
% 0.23/0.47  
% 0.23/0.47  
% 0.23/0.47  %  Resolution empty clause
% 0.23/0.47  
% 0.23/0.47  % ------                             Statistics
% 0.23/0.47  
% 0.23/0.47  % ------ General
% 0.23/0.47  
% 0.23/0.47  % num_of_input_clauses:                 17
% 0.23/0.47  % num_of_input_neg_conjectures:         5
% 0.23/0.47  % num_of_splits:                        4
% 0.23/0.47  % num_of_split_atoms:                   2
% 0.23/0.47  % num_of_sem_filtered_clauses:          0
% 0.23/0.47  % num_of_subtypes:                      0
% 0.23/0.47  % monotx_restored_types:                0
% 0.23/0.47  % sat_num_of_epr_types:                 0
% 0.23/0.47  % sat_num_of_non_cyclic_types:          0
% 0.23/0.47  % sat_guarded_non_collapsed_types:      0
% 0.23/0.47  % is_epr:                               1
% 0.23/0.47  % is_horn:                              0
% 0.23/0.47  % has_eq:                               0
% 0.23/0.47  % num_pure_diseq_elim:                  0
% 0.23/0.47  % simp_replaced_by:                     0
% 0.23/0.47  % res_preprocessed:                     14
% 0.23/0.47  % prep_upred:                           0
% 0.23/0.47  % prep_unflattend:                      0
% 0.23/0.47  % pred_elim_cands:                      2
% 0.23/0.47  % pred_elim:                            1
% 0.23/0.47  % pred_elim_cl:                         1
% 0.23/0.47  % pred_elim_cycles:                     2
% 0.23/0.47  % forced_gc_time:                       0
% 0.23/0.47  % gc_basic_clause_elim:                 0
% 0.23/0.47  % parsing_time:                         0.
% 0.23/0.47  % sem_filter_time:                      0.
% 0.23/0.47  % pred_elim_time:                       0.
% 0.23/0.47  % out_proof_time:                       0.003
% 0.23/0.47  % monotx_time:                          0.
% 0.23/0.47  % subtype_inf_time:                     0.
% 0.23/0.47  % unif_index_cands_time:                0.
% 0.23/0.47  % unif_index_add_time:                  0.
% 0.23/0.47  % total_time:                           0.028
% 0.23/0.47  % num_of_symbols:                       35
% 0.23/0.47  % num_of_terms:                         55
% 0.23/0.47  
% 0.23/0.47  % ------ Propositional Solver
% 0.23/0.47  
% 0.23/0.47  % prop_solver_calls:                    1
% 0.23/0.47  % prop_fast_solver_calls:               58
% 0.23/0.47  % prop_num_of_clauses:                  25
% 0.23/0.47  % prop_preprocess_simplified:           124
% 0.23/0.47  % prop_fo_subsumed:                     1
% 0.23/0.47  % prop_solver_time:                     0.
% 0.23/0.47  % prop_fast_solver_time:                0.
% 0.23/0.47  % prop_unsat_core_time:                 0.
% 0.23/0.47  
% 0.23/0.47  % ------ QBF 
% 0.23/0.47  
% 0.23/0.47  % qbf_q_res:                            0
% 0.23/0.47  % qbf_num_tautologies:                  0
% 0.23/0.47  % qbf_prep_cycles:                      0
% 0.23/0.47  
% 0.23/0.47  % ------ BMC1
% 0.23/0.47  
% 0.23/0.47  % bmc1_current_bound:                   -1
% 0.23/0.47  % bmc1_last_solved_bound:               -1
% 0.23/0.47  % bmc1_unsat_core_size:                 -1
% 0.23/0.47  % bmc1_unsat_core_parents_size:         -1
% 0.23/0.47  % bmc1_merge_next_fun:                  0
% 0.23/0.47  % bmc1_unsat_core_clauses_time:         0.
% 0.23/0.47  
% 0.23/0.47  % ------ Instantiation
% 0.23/0.47  
% 0.23/0.47  % inst_num_of_clauses:                  18
% 0.23/0.47  % inst_num_in_passive:                  0
% 0.23/0.47  % inst_num_in_active:                   0
% 0.23/0.47  % inst_num_in_unprocessed:              18
% 0.23/0.47  % inst_num_of_loops:                    0
% 0.23/0.47  % inst_num_of_learning_restarts:        0
% 0.23/0.47  % inst_num_moves_active_passive:        0
% 0.23/0.47  % inst_lit_activity:                    0
% 0.23/0.47  % inst_lit_activity_moves:              0
% 0.23/0.47  % inst_num_tautologies:                 0
% 0.23/0.47  % inst_num_prop_implied:                0
% 0.23/0.47  % inst_num_existing_simplified:         0
% 0.23/0.47  % inst_num_eq_res_simplified:           0
% 0.23/0.47  % inst_num_child_elim:                  0
% 0.23/0.47  % inst_num_of_dismatching_blockings:    0
% 0.23/0.47  % inst_num_of_non_proper_insts:         0
% 0.23/0.47  % inst_num_of_duplicates:               0
% 0.23/0.47  % inst_inst_num_from_inst_to_res:       0
% 0.23/0.47  % inst_dismatching_checking_time:       0.
% 0.23/0.47  
% 0.23/0.47  % ------ Resolution
% 0.23/0.47  
% 0.23/0.47  % res_num_of_clauses:                   18
% 0.23/0.47  % res_num_in_passive:                   1
% 0.23/0.47  % res_num_in_active:                    7
% 0.23/0.47  % res_num_of_loops:                     28
% 0.23/0.47  % res_forward_subset_subsumed:          12
% 0.23/0.47  % res_backward_subset_subsumed:         11
% 0.23/0.47  % res_forward_subsumed:                 4
% 0.23/0.47  % res_backward_subsumed:                7
% 0.23/0.47  % res_forward_subsumption_resolution:   9
% 0.23/0.47  % res_backward_subsumption_resolution:  5
% 0.23/0.47  % res_clause_to_clause_subsumption:     26
% 0.23/0.47  % res_orphan_elimination:               0
% 0.23/0.47  % res_tautology_del:                    1
% 0.23/0.47  % res_num_eq_res_simplified:            0
% 0.23/0.47  % res_num_sel_changes:                  0
% 0.23/0.47  % res_moves_from_active_to_pass:        0
% 0.23/0.47  
% 0.23/0.47  % Status Unsatisfiable
% 0.23/0.47  % SZS status Theorem
% 0.23/0.47  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------