TSTP Solution File: SYN000+1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SYN000+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n011.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 07:21:59 EDT 2022

% Result   : Theorem 0.21s 0.44s
% Output   : CNFRefutation 0.21s
% 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
fof(ia3,axiom,
    ia3,
    input ).

fof(ia3_0,plain,
    ( ia3
    | $false ),
    inference(orientation,[status(thm)],[ia3]) ).

fof(ia2,axiom,
    ia2,
    input ).

fof(ia2_0,plain,
    ( ia2
    | $false ),
    inference(orientation,[status(thm)],[ia2]) ).

fof(ia1,axiom,
    ia1,
    input ).

fof(ia1_0,plain,
    ( ia1
    | $false ),
    inference(orientation,[status(thm)],[ia1]) ).

fof(def_lhs_atom1,axiom,
    ( lhs_atom1
  <=> ia1 ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ( lhs_atom1
    | $false ),
    inference(fold_definition,[status(thm)],[ia1_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ( lhs_atom2
  <=> ia2 ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ( lhs_atom2
    | $false ),
    inference(fold_definition,[status(thm)],[ia2_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ( lhs_atom3
  <=> ia3 ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ( lhs_atom3
    | $false ),
    inference(fold_definition,[status(thm)],[ia3_0,def_lhs_atom3]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ( lhs_atom3
    | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_1,axiom,
    ( lhs_atom2
    | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_2,axiom,
    ( lhs_atom1
    | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_3,plain,
    lhs_atom3,
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

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

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

fof(c_0_6,plain,
    lhs_atom3,
    c_0_3 ).

fof(c_0_7,plain,
    lhs_atom2,
    c_0_4 ).

fof(c_0_8,plain,
    lhs_atom1,
    c_0_5 ).

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

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

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

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

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

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

% End CNF derivation
cnf(c_0_12_0,axiom,
    ia3,
    inference(unfold_definition,[status(thm)],[c_0_12,def_lhs_atom3]) ).

cnf(c_0_13_0,axiom,
    ia2,
    inference(unfold_definition,[status(thm)],[c_0_13,def_lhs_atom2]) ).

cnf(c_0_14_0,axiom,
    ia1,
    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] :
      ( ( p(X1)
       <= ~ q(X1,a) )
    <=> ? [X2,X3] :
          ( r(X1,f(X2),g(X1,f(X2),X3))
        <~> ~ s(f(f(f(b)))) ) ),
    file('<stdin>',useful_connectives) ).

fof(c_0_1_002,axiom,
    ! [X1] :
      ( ( p(X1)
        | ~ q(X1,a) )
     => ? [X2,X3] :
          ( r(X1,f(X2),g(X1,f(X2),X3))
          & ~ s(f(f(f(b)))) ) ),
    file('<stdin>',first_order) ).

fof(c_0_2_003,axiom,
    ! [X1] :
      ( ( p(X1)
        | ~ q(X1,a) )
     => ? [X2,X3] :
          ( r(X1,f(X2),g(X1,f(X2),X3))
          & ~ s(f(f(f(b)))) ) ),
    file('<stdin>',123) ).

fof(c_0_3_004,axiom,
    ? [X2] :
    ! [X1,X3] :
      ( f(X2) = g(X1,f(X2),X3)
      | f(f(f(b))) != a
      | X1 = f(X2) ),
    file('<stdin>',equality) ).

fof(c_0_4_005,axiom,
    ( 'A proposition'
    | 'A predicate'(a)
    | p('A constant')
    | p('A function'(a))
    | p('A \'quoted \\ escape\'') ),
    file('<stdin>',single_quoted) ).

fof(c_0_5_006,axiom,
    ( ( p0
      & ~ q0 )
   => ( r0
      | ~ s0 ) ),
    file('<stdin>',propositional) ).

fof(c_0_6_007,axiom,
    ( $true
    | ~ $true ),
    file('<stdin>',true_false) ).

fof(c_0_7_008,plain,
    ! [X1] :
      ( ( ~ q(X1,a)
       => p(X1) )
    <=> ? [X2,X3] :
          ~ ( r(X1,f(X2),g(X1,f(X2),X3))
          <=> ~ s(f(f(f(b)))) ) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_8_009,plain,
    ! [X1] :
      ( ( p(X1)
        | ~ q(X1,a) )
     => ? [X2,X3] :
          ( r(X1,f(X2),g(X1,f(X2),X3))
          & ~ s(f(f(f(b)))) ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_9_010,plain,
    ! [X1] :
      ( ( p(X1)
        | ~ q(X1,a) )
     => ? [X2,X3] :
          ( r(X1,f(X2),g(X1,f(X2),X3))
          & ~ s(f(f(f(b)))) ) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_10_011,axiom,
    ? [X2] :
    ! [X1,X3] :
      ( f(X2) = g(X1,f(X2),X3)
      | f(f(f(b))) != a
      | X1 = f(X2) ),
    c_0_3 ).

fof(c_0_11_012,axiom,
    ( 'A proposition'
    | 'A predicate'(a)
    | p('A constant')
    | p('A function'(a))
    | p('A \'quoted \\ escape\'') ),
    c_0_4 ).

fof(c_0_12_013,plain,
    ( ( p0
      & ~ q0 )
   => ( r0
      | ~ s0 ) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_13_014,plain,
    $true,
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_14_015,plain,
    ! [X4,X7,X8,X9,X10,X11] :
      ( ( ~ r(X4,f(esk3_1(X4)),g(X4,f(esk3_1(X4)),esk4_1(X4)))
        | s(f(f(f(b))))
        | ~ q(X4,a) )
      & ( r(X4,f(esk3_1(X4)),g(X4,f(esk3_1(X4)),esk4_1(X4)))
        | ~ s(f(f(f(b))))
        | ~ q(X4,a) )
      & ( ~ r(X4,f(esk3_1(X4)),g(X4,f(esk3_1(X4)),esk4_1(X4)))
        | s(f(f(f(b))))
        | ~ p(X4) )
      & ( r(X4,f(esk3_1(X4)),g(X4,f(esk3_1(X4)),esk4_1(X4)))
        | ~ s(f(f(f(b))))
        | ~ p(X4) )
      & ( ~ r(X7,f(X8),g(X7,f(X8),X9))
        | ~ s(f(f(f(b))))
        | q(X7,a)
        | p(X7) )
      & ( s(f(f(f(b))))
        | r(X7,f(X10),g(X7,f(X10),X11))
        | q(X7,a)
        | p(X7) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])]) ).

fof(c_0_15,plain,
    ! [X4] :
      ( ( r(X4,f(esk6_1(X4)),g(X4,f(esk6_1(X4)),esk7_1(X4)))
        | ~ p(X4) )
      & ( ~ s(f(f(f(b))))
        | ~ p(X4) )
      & ( r(X4,f(esk6_1(X4)),g(X4,f(esk6_1(X4)),esk7_1(X4)))
        | q(X4,a) )
      & ( ~ s(f(f(f(b))))
        | q(X4,a) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).

fof(c_0_16,plain,
    ! [X4] :
      ( ( r(X4,f(esk1_1(X4)),g(X4,f(esk1_1(X4)),esk2_1(X4)))
        | ~ p(X4) )
      & ( ~ s(f(f(f(b))))
        | ~ p(X4) )
      & ( r(X4,f(esk1_1(X4)),g(X4,f(esk1_1(X4)),esk2_1(X4)))
        | q(X4,a) )
      & ( ~ s(f(f(f(b))))
        | q(X4,a) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).

fof(c_0_17,plain,
    ! [X5,X6] :
      ( f(esk5_0) = g(X5,f(esk5_0),X6)
      | f(f(f(b))) != a
      | X5 = f(esk5_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_10])])])]) ).

fof(c_0_18,axiom,
    ( 'A proposition'
    | 'A predicate'(a)
    | p('A constant')
    | p('A function'(a))
    | p('A \'quoted \\ escape\'') ),
    c_0_11 ).

fof(c_0_19,plain,
    ( ~ p0
    | q0
    | r0
    | ~ s0 ),
    inference(fof_nnf,[status(thm)],[c_0_12]) ).

fof(c_0_20,plain,
    $true,
    c_0_13 ).

cnf(c_0_21,plain,
    ( s(f(f(f(b))))
    | ~ q(X1,a)
    | ~ r(X1,f(esk3_1(X1)),g(X1,f(esk3_1(X1)),esk4_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    ( s(f(f(f(b))))
    | ~ p(X1)
    | ~ r(X1,f(esk3_1(X1)),g(X1,f(esk3_1(X1)),esk4_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_23,plain,
    ( p(X1)
    | q(X1,a)
    | ~ s(f(f(f(b))))
    | ~ r(X1,f(X2),g(X1,f(X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24,plain,
    ( r(X1,f(esk3_1(X1)),g(X1,f(esk3_1(X1)),esk4_1(X1)))
    | ~ q(X1,a)
    | ~ s(f(f(f(b)))) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_25,plain,
    ( r(X1,f(esk3_1(X1)),g(X1,f(esk3_1(X1)),esk4_1(X1)))
    | ~ p(X1)
    | ~ s(f(f(f(b)))) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_26,plain,
    ( q(X1,a)
    | r(X1,f(esk6_1(X1)),g(X1,f(esk6_1(X1)),esk7_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_27,plain,
    ( q(X1,a)
    | r(X1,f(esk1_1(X1)),g(X1,f(esk1_1(X1)),esk2_1(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_28,plain,
    ( r(X1,f(esk6_1(X1)),g(X1,f(esk6_1(X1)),esk7_1(X1)))
    | ~ p(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_29,plain,
    ( r(X1,f(esk1_1(X1)),g(X1,f(esk1_1(X1)),esk2_1(X1)))
    | ~ p(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_30,plain,
    ( p(X1)
    | q(X1,a)
    | r(X1,f(X2),g(X1,f(X2),X3))
    | s(f(f(f(b)))) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_31,plain,
    ( X1 = f(esk5_0)
    | f(esk5_0) = g(X1,f(esk5_0),X2)
    | f(f(f(b))) != a ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_32,plain,
    ( q(X1,a)
    | ~ s(f(f(f(b)))) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_33,plain,
    ( q(X1,a)
    | ~ s(f(f(f(b)))) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_34,plain,
    ( ~ p(X1)
    | ~ s(f(f(f(b)))) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_35,plain,
    ( ~ p(X1)
    | ~ s(f(f(f(b)))) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_36,plain,
    ( p('A \'quoted \\ escape\'')
    | p('A function'(a))
    | p('A constant')
    | 'A predicate'(a)
    | 'A proposition' ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_37,plain,
    ( r0
    | q0
    | ~ s0
    | ~ p0 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_38,plain,
    $true,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_39,plain,
    ( s(f(f(f(b))))
    | ~ q(X1,a)
    | ~ r(X1,f(esk3_1(X1)),g(X1,f(esk3_1(X1)),esk4_1(X1))) ),
    c_0_21,
    [final] ).

cnf(c_0_40,plain,
    ( s(f(f(f(b))))
    | ~ p(X1)
    | ~ r(X1,f(esk3_1(X1)),g(X1,f(esk3_1(X1)),esk4_1(X1))) ),
    c_0_22,
    [final] ).

cnf(c_0_41,plain,
    ( p(X1)
    | q(X1,a)
    | ~ s(f(f(f(b))))
    | ~ r(X1,f(X2),g(X1,f(X2),X3)) ),
    c_0_23,
    [final] ).

cnf(c_0_42,plain,
    ( r(X1,f(esk3_1(X1)),g(X1,f(esk3_1(X1)),esk4_1(X1)))
    | ~ q(X1,a)
    | ~ s(f(f(f(b)))) ),
    c_0_24,
    [final] ).

cnf(c_0_43,plain,
    ( r(X1,f(esk3_1(X1)),g(X1,f(esk3_1(X1)),esk4_1(X1)))
    | ~ p(X1)
    | ~ s(f(f(f(b)))) ),
    c_0_25,
    [final] ).

cnf(c_0_44,plain,
    ( q(X1,a)
    | r(X1,f(esk6_1(X1)),g(X1,f(esk6_1(X1)),esk7_1(X1))) ),
    c_0_26,
    [final] ).

cnf(c_0_45,plain,
    ( q(X1,a)
    | r(X1,f(esk1_1(X1)),g(X1,f(esk1_1(X1)),esk2_1(X1))) ),
    c_0_27,
    [final] ).

cnf(c_0_46,plain,
    ( r(X1,f(esk6_1(X1)),g(X1,f(esk6_1(X1)),esk7_1(X1)))
    | ~ p(X1) ),
    c_0_28,
    [final] ).

cnf(c_0_47,plain,
    ( r(X1,f(esk1_1(X1)),g(X1,f(esk1_1(X1)),esk2_1(X1)))
    | ~ p(X1) ),
    c_0_29,
    [final] ).

cnf(c_0_48,plain,
    ( p(X1)
    | q(X1,a)
    | r(X1,f(X2),g(X1,f(X2),X3))
    | s(f(f(f(b)))) ),
    c_0_30,
    [final] ).

cnf(c_0_49,plain,
    ( X1 = f(esk5_0)
    | g(X1,f(esk5_0),X2) = f(esk5_0)
    | f(f(f(b))) != a ),
    c_0_31,
    [final] ).

cnf(c_0_50,plain,
    ( q(X1,a)
    | ~ s(f(f(f(b)))) ),
    c_0_32,
    [final] ).

cnf(c_0_51,plain,
    ( q(X1,a)
    | ~ s(f(f(f(b)))) ),
    c_0_33,
    [final] ).

cnf(c_0_52,plain,
    ( ~ p(X1)
    | ~ s(f(f(f(b)))) ),
    c_0_34,
    [final] ).

cnf(c_0_53,plain,
    ( ~ p(X1)
    | ~ s(f(f(f(b)))) ),
    c_0_35,
    [final] ).

cnf(c_0_54,plain,
    ( p('A \'quoted \\ escape\'')
    | p('A function'(a))
    | p('A constant')
    | 'A predicate'(a)
    | 'A proposition' ),
    c_0_36,
    [final] ).

cnf(c_0_55,plain,
    ( r0
    | q0
    | ~ s0
    | ~ p0 ),
    c_0_37,
    [final] ).

cnf(c_0_56,plain,
    $true,
    c_0_38,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_39_0,axiom,
    ( s(f(f(f(b))))
    | ~ q(X1,a)
    | ~ r(X1,f(sk2_esk3_1(X1)),g(X1,f(sk2_esk3_1(X1)),sk2_esk4_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_39]) ).

cnf(c_0_39_1,axiom,
    ( ~ q(X1,a)
    | s(f(f(f(b))))
    | ~ r(X1,f(sk2_esk3_1(X1)),g(X1,f(sk2_esk3_1(X1)),sk2_esk4_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_39]) ).

cnf(c_0_39_2,axiom,
    ( ~ r(X1,f(sk2_esk3_1(X1)),g(X1,f(sk2_esk3_1(X1)),sk2_esk4_1(X1)))
    | ~ q(X1,a)
    | s(f(f(f(b)))) ),
    inference(literals_permutation,[status(thm)],[c_0_39]) ).

cnf(c_0_40_0,axiom,
    ( s(f(f(f(b))))
    | ~ p(X1)
    | ~ r(X1,f(sk2_esk3_1(X1)),g(X1,f(sk2_esk3_1(X1)),sk2_esk4_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_40_1,axiom,
    ( ~ p(X1)
    | s(f(f(f(b))))
    | ~ r(X1,f(sk2_esk3_1(X1)),g(X1,f(sk2_esk3_1(X1)),sk2_esk4_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_40_2,axiom,
    ( ~ r(X1,f(sk2_esk3_1(X1)),g(X1,f(sk2_esk3_1(X1)),sk2_esk4_1(X1)))
    | ~ p(X1)
    | s(f(f(f(b)))) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_41_0,axiom,
    ( p(X1)
    | q(X1,a)
    | ~ s(f(f(f(b))))
    | ~ r(X1,f(X2),g(X1,f(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_41_1,axiom,
    ( q(X1,a)
    | p(X1)
    | ~ s(f(f(f(b))))
    | ~ r(X1,f(X2),g(X1,f(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_41_2,axiom,
    ( ~ s(f(f(f(b))))
    | q(X1,a)
    | p(X1)
    | ~ r(X1,f(X2),g(X1,f(X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_41_3,axiom,
    ( ~ r(X1,f(X2),g(X1,f(X2),X3))
    | ~ s(f(f(f(b))))
    | q(X1,a)
    | p(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_42_0,axiom,
    ( r(X1,f(sk2_esk3_1(X1)),g(X1,f(sk2_esk3_1(X1)),sk2_esk4_1(X1)))
    | ~ q(X1,a)
    | ~ s(f(f(f(b)))) ),
    inference(literals_permutation,[status(thm)],[c_0_42]) ).

cnf(c_0_42_1,axiom,
    ( ~ q(X1,a)
    | r(X1,f(sk2_esk3_1(X1)),g(X1,f(sk2_esk3_1(X1)),sk2_esk4_1(X1)))
    | ~ s(f(f(f(b)))) ),
    inference(literals_permutation,[status(thm)],[c_0_42]) ).

cnf(c_0_42_2,axiom,
    ( ~ s(f(f(f(b))))
    | ~ q(X1,a)
    | r(X1,f(sk2_esk3_1(X1)),g(X1,f(sk2_esk3_1(X1)),sk2_esk4_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_42]) ).

cnf(c_0_43_0,axiom,
    ( r(X1,f(sk2_esk3_1(X1)),g(X1,f(sk2_esk3_1(X1)),sk2_esk4_1(X1)))
    | ~ p(X1)
    | ~ s(f(f(f(b)))) ),
    inference(literals_permutation,[status(thm)],[c_0_43]) ).

cnf(c_0_43_1,axiom,
    ( ~ p(X1)
    | r(X1,f(sk2_esk3_1(X1)),g(X1,f(sk2_esk3_1(X1)),sk2_esk4_1(X1)))
    | ~ s(f(f(f(b)))) ),
    inference(literals_permutation,[status(thm)],[c_0_43]) ).

cnf(c_0_43_2,axiom,
    ( ~ s(f(f(f(b))))
    | ~ p(X1)
    | r(X1,f(sk2_esk3_1(X1)),g(X1,f(sk2_esk3_1(X1)),sk2_esk4_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_43]) ).

cnf(c_0_44_0,axiom,
    ( q(X1,a)
    | r(X1,f(sk2_esk6_1(X1)),g(X1,f(sk2_esk6_1(X1)),sk2_esk7_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_44_1,axiom,
    ( r(X1,f(sk2_esk6_1(X1)),g(X1,f(sk2_esk6_1(X1)),sk2_esk7_1(X1)))
    | q(X1,a) ),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_45_0,axiom,
    ( q(X1,a)
    | r(X1,f(sk2_esk1_1(X1)),g(X1,f(sk2_esk1_1(X1)),sk2_esk2_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_45_1,axiom,
    ( r(X1,f(sk2_esk1_1(X1)),g(X1,f(sk2_esk1_1(X1)),sk2_esk2_1(X1)))
    | q(X1,a) ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_46_0,axiom,
    ( r(X1,f(sk2_esk6_1(X1)),g(X1,f(sk2_esk6_1(X1)),sk2_esk7_1(X1)))
    | ~ p(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_46_1,axiom,
    ( ~ p(X1)
    | r(X1,f(sk2_esk6_1(X1)),g(X1,f(sk2_esk6_1(X1)),sk2_esk7_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_47_0,axiom,
    ( r(X1,f(sk2_esk1_1(X1)),g(X1,f(sk2_esk1_1(X1)),sk2_esk2_1(X1)))
    | ~ p(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_47_1,axiom,
    ( ~ p(X1)
    | r(X1,f(sk2_esk1_1(X1)),g(X1,f(sk2_esk1_1(X1)),sk2_esk2_1(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_48_0,axiom,
    ( p(X1)
    | q(X1,a)
    | r(X1,f(X2),g(X1,f(X2),X3))
    | s(f(f(f(b)))) ),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_48_1,axiom,
    ( q(X1,a)
    | p(X1)
    | r(X1,f(X2),g(X1,f(X2),X3))
    | s(f(f(f(b)))) ),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_48_2,axiom,
    ( r(X1,f(X2),g(X1,f(X2),X3))
    | q(X1,a)
    | p(X1)
    | s(f(f(f(b)))) ),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_48_3,axiom,
    ( s(f(f(f(b))))
    | r(X1,f(X2),g(X1,f(X2),X3))
    | q(X1,a)
    | p(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_49_0,axiom,
    ( X1 = f(sk2_esk5_0)
    | g(X1,f(sk2_esk5_0),X2) = f(sk2_esk5_0)
    | f(f(f(b))) != a ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_49_1,axiom,
    ( g(X1,f(sk2_esk5_0),X2) = f(sk2_esk5_0)
    | X1 = f(sk2_esk5_0)
    | f(f(f(b))) != a ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_49_2,axiom,
    ( f(f(f(b))) != a
    | g(X1,f(sk2_esk5_0),X2) = f(sk2_esk5_0)
    | X1 = f(sk2_esk5_0) ),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_50_0,axiom,
    ( q(X1,a)
    | ~ s(f(f(f(b)))) ),
    inference(literals_permutation,[status(thm)],[c_0_50]) ).

cnf(c_0_50_1,axiom,
    ( ~ s(f(f(f(b))))
    | q(X1,a) ),
    inference(literals_permutation,[status(thm)],[c_0_50]) ).

cnf(c_0_51_0,axiom,
    ( q(X1,a)
    | ~ s(f(f(f(b)))) ),
    inference(literals_permutation,[status(thm)],[c_0_51]) ).

cnf(c_0_51_1,axiom,
    ( ~ s(f(f(f(b))))
    | q(X1,a) ),
    inference(literals_permutation,[status(thm)],[c_0_51]) ).

cnf(c_0_52_0,axiom,
    ( ~ p(X1)
    | ~ s(f(f(f(b)))) ),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_52_1,axiom,
    ( ~ s(f(f(f(b))))
    | ~ p(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_53_0,axiom,
    ( ~ p(X1)
    | ~ s(f(f(f(b)))) ),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_53_1,axiom,
    ( ~ s(f(f(f(b))))
    | ~ p(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_54_0,axiom,
    ( p('A \'quoted \\ escape\'')
    | p('A function'(a))
    | p('A constant')
    | 'A predicate'(a)
    | 'A proposition' ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_54_1,axiom,
    ( p('A function'(a))
    | p('A \'quoted \\ escape\'')
    | p('A constant')
    | 'A predicate'(a)
    | 'A proposition' ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_54_2,axiom,
    ( p('A constant')
    | p('A function'(a))
    | p('A \'quoted \\ escape\'')
    | 'A predicate'(a)
    | 'A proposition' ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_54_3,axiom,
    ( 'A predicate'(a)
    | p('A constant')
    | p('A function'(a))
    | p('A \'quoted \\ escape\'')
    | 'A proposition' ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_54_4,axiom,
    ( 'A proposition'
    | 'A predicate'(a)
    | p('A constant')
    | p('A function'(a))
    | p('A \'quoted \\ escape\'') ),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_55_0,axiom,
    ( r0
    | q0
    | ~ s0
    | ~ p0 ),
    inference(literals_permutation,[status(thm)],[c_0_55]) ).

cnf(c_0_55_1,axiom,
    ( q0
    | r0
    | ~ s0
    | ~ p0 ),
    inference(literals_permutation,[status(thm)],[c_0_55]) ).

cnf(c_0_55_2,axiom,
    ( ~ s0
    | q0
    | r0
    | ~ p0 ),
    inference(literals_permutation,[status(thm)],[c_0_55]) ).

cnf(c_0_55_3,axiom,
    ( ~ p0
    | ~ s0
    | q0
    | r0 ),
    inference(literals_permutation,[status(thm)],[c_0_55]) ).

cnf(c_0_56_0,axiom,
    $true,
    inference(literals_permutation,[status(thm)],[c_0_56]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_016,conjecture,
    ? [X1] : p(X1),
    file('<stdin>',role_conjecture) ).

fof(c_0_1_017,hypothesis,
    p(h),
    file('<stdin>',role_hypothesis) ).

fof(c_0_2_018,negated_conjecture,
    ~ ? [X1] : p(X1),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_3_019,hypothesis,
    p(h),
    c_0_1 ).

fof(c_0_4_020,negated_conjecture,
    ! [X2] : ~ p(X2),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).

fof(c_0_5_021,hypothesis,
    p(h),
    c_0_3 ).

cnf(c_0_6_022,negated_conjecture,
    ~ p(X1),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_023,hypothesis,
    p(h),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8_024,negated_conjecture,
    ~ p(X1),
    c_0_6,
    [final] ).

cnf(c_0_9_025,hypothesis,
    p(h),
    c_0_7,
    [final] ).

% End CNF derivation

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

cnf(c_53,plain,
    p(h),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_ae388c.p',c_0_9) ).

cnf(c_63,plain,
    p(h),
    inference(copy,[status(esa)],[c_53]) ).

cnf(c_70,plain,
    p(h),
    inference(copy,[status(esa)],[c_63]) ).

cnf(c_71,plain,
    p(h),
    inference(copy,[status(esa)],[c_70]) ).

cnf(c_74,plain,
    p(h),
    inference(copy,[status(esa)],[c_71]) ).

cnf(c_235,plain,
    p(h),
    inference(copy,[status(esa)],[c_74]) ).

cnf(c_52,negated_conjecture,
    ~ p(X0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_ae388c.p',c_0_8) ).

cnf(c_65,negated_conjecture,
    ~ p(X0),
    inference(copy,[status(esa)],[c_52]) ).

cnf(c_69,negated_conjecture,
    ~ p(X0),
    inference(copy,[status(esa)],[c_65]) ).

cnf(c_72,negated_conjecture,
    ~ p(X0),
    inference(copy,[status(esa)],[c_69]) ).

cnf(c_73,negated_conjecture,
    ~ p(X0),
    inference(copy,[status(esa)],[c_72]) ).

cnf(c_233,plain,
    ~ p(X0),
    inference(copy,[status(esa)],[c_73]) ).

cnf(c_244,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_235,c_233]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN000+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : iprover_modulo %s %d
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jul 12 04:52:43 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Running in mono-core mode
% 0.21/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.41  % FOF problem with conjecture
% 0.21/0.41  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_e84e09.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_ae388c.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_679762 | grep -v "SZS"
% 0.21/0.43  
% 0.21/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.43  
% 0.21/0.43  % 
% 0.21/0.43  % ------  iProver source info 
% 0.21/0.43  
% 0.21/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.43  % git: non_committed_changes: true
% 0.21/0.43  % git: last_make_outside_of_git: true
% 0.21/0.43  
% 0.21/0.43  % 
% 0.21/0.43  % ------ Input Options
% 0.21/0.43  
% 0.21/0.43  % --out_options                         all
% 0.21/0.43  % --tptp_safe_out                       true
% 0.21/0.43  % --problem_path                        ""
% 0.21/0.43  % --include_path                        ""
% 0.21/0.43  % --clausifier                          .//eprover
% 0.21/0.43  % --clausifier_options                  --tstp-format  
% 0.21/0.43  % --stdin                               false
% 0.21/0.43  % --dbg_backtrace                       false
% 0.21/0.43  % --dbg_dump_prop_clauses               false
% 0.21/0.43  % --dbg_dump_prop_clauses_file          -
% 0.21/0.43  % --dbg_out_stat                        false
% 0.21/0.43  
% 0.21/0.43  % ------ General Options
% 0.21/0.43  
% 0.21/0.43  % --fof                                 false
% 0.21/0.43  % --time_out_real                       150.
% 0.21/0.43  % --time_out_prep_mult                  0.2
% 0.21/0.43  % --time_out_virtual                    -1.
% 0.21/0.43  % --schedule                            none
% 0.21/0.43  % --ground_splitting                    input
% 0.21/0.43  % --splitting_nvd                       16
% 0.21/0.43  % --non_eq_to_eq                        false
% 0.21/0.43  % --prep_gs_sim                         true
% 0.21/0.43  % --prep_unflatten                      false
% 0.21/0.43  % --prep_res_sim                        true
% 0.21/0.43  % --prep_upred                          true
% 0.21/0.43  % --res_sim_input                       true
% 0.21/0.43  % --clause_weak_htbl                    true
% 0.21/0.43  % --gc_record_bc_elim                   false
% 0.21/0.43  % --symbol_type_check                   false
% 0.21/0.43  % --clausify_out                        false
% 0.21/0.43  % --large_theory_mode                   false
% 0.21/0.43  % --prep_sem_filter                     none
% 0.21/0.43  % --prep_sem_filter_out                 false
% 0.21/0.43  % --preprocessed_out                    false
% 0.21/0.43  % --sub_typing                          false
% 0.21/0.43  % --brand_transform                     false
% 0.21/0.43  % --pure_diseq_elim                     true
% 0.21/0.43  % --min_unsat_core                      false
% 0.21/0.43  % --pred_elim                           true
% 0.21/0.43  % --add_important_lit                   false
% 0.21/0.43  % --soft_assumptions                    false
% 0.21/0.43  % --reset_solvers                       false
% 0.21/0.43  % --bc_imp_inh                          []
% 0.21/0.43  % --conj_cone_tolerance                 1.5
% 0.21/0.43  % --prolific_symb_bound                 500
% 0.21/0.43  % --lt_threshold                        2000
% 0.21/0.43  
% 0.21/0.43  % ------ SAT Options
% 0.21/0.43  
% 0.21/0.43  % --sat_mode                            false
% 0.21/0.43  % --sat_fm_restart_options              ""
% 0.21/0.43  % --sat_gr_def                          false
% 0.21/0.43  % --sat_epr_types                       true
% 0.21/0.43  % --sat_non_cyclic_types                false
% 0.21/0.43  % --sat_finite_models                   false
% 0.21/0.43  % --sat_fm_lemmas                       false
% 0.21/0.43  % --sat_fm_prep                         false
% 0.21/0.43  % --sat_fm_uc_incr                      true
% 0.21/0.43  % --sat_out_model                       small
% 0.21/0.43  % --sat_out_clauses                     false
% 0.21/0.43  
% 0.21/0.43  % ------ QBF Options
% 0.21/0.43  
% 0.21/0.43  % --qbf_mode                            false
% 0.21/0.43  % --qbf_elim_univ                       true
% 0.21/0.43  % --qbf_sk_in                           true
% 0.21/0.43  % --qbf_pred_elim                       true
% 0.21/0.43  % --qbf_split                           32
% 0.21/0.43  
% 0.21/0.43  % ------ BMC1 Options
% 0.21/0.43  
% 0.21/0.43  % --bmc1_incremental                    false
% 0.21/0.43  % --bmc1_axioms                         reachable_all
% 0.21/0.43  % --bmc1_min_bound                      0
% 0.21/0.43  % --bmc1_max_bound                      -1
% 0.21/0.43  % --bmc1_max_bound_default              -1
% 0.21/0.43  % --bmc1_symbol_reachability            true
% 0.21/0.43  % --bmc1_property_lemmas                false
% 0.21/0.43  % --bmc1_k_induction                    false
% 0.21/0.43  % --bmc1_non_equiv_states               false
% 0.21/0.43  % --bmc1_deadlock                       false
% 0.21/0.43  % --bmc1_ucm                            false
% 0.21/0.43  % --bmc1_add_unsat_core                 none
% 0.21/0.43  % --bmc1_unsat_core_children            false
% 0.21/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.43  % --bmc1_out_stat                       full
% 0.21/0.43  % --bmc1_ground_init                    false
% 0.21/0.43  % --bmc1_pre_inst_next_state            false
% 0.21/0.43  % --bmc1_pre_inst_state                 false
% 0.21/0.43  % --bmc1_pre_inst_reach_state           false
% 0.21/0.43  % --bmc1_out_unsat_core                 false
% 0.21/0.43  % --bmc1_aig_witness_out                false
% 0.21/0.43  % --bmc1_verbose                        false
% 0.21/0.43  % --bmc1_dump_clauses_tptp              false
% 0.21/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.44  % --bmc1_dump_file                      -
% 0.21/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.44  % --bmc1_ucm_extend_mode                1
% 0.21/0.44  % --bmc1_ucm_init_mode                  2
% 0.21/0.44  % --bmc1_ucm_cone_mode                  none
% 0.21/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.44  % --bmc1_ucm_relax_model                4
% 0.21/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.44  % --bmc1_ucm_layered_model              none
% 0.21/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.44  
% 0.21/0.44  % ------ AIG Options
% 0.21/0.44  
% 0.21/0.44  % --aig_mode                            false
% 0.21/0.44  
% 0.21/0.44  % ------ Instantiation Options
% 0.21/0.44  
% 0.21/0.44  % --instantiation_flag                  true
% 0.21/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.44  % --inst_solver_per_active              750
% 0.21/0.44  % --inst_solver_calls_frac              0.5
% 0.21/0.44  % --inst_passive_queue_type             priority_queues
% 0.21/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.44  % --inst_passive_queues_freq            [25;2]
% 0.21/0.44  % --inst_dismatching                    true
% 0.21/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.44  % --inst_prop_sim_given                 true
% 0.21/0.44  % --inst_prop_sim_new                   false
% 0.21/0.44  % --inst_orphan_elimination             true
% 0.21/0.44  % --inst_learning_loop_flag             true
% 0.21/0.44  % --inst_learning_start                 3000
% 0.21/0.44  % --inst_learning_factor                2
% 0.21/0.44  % --inst_start_prop_sim_after_learn     3
% 0.21/0.44  % --inst_sel_renew                      solver
% 0.21/0.44  % --inst_lit_activity_flag              true
% 0.21/0.44  % --inst_out_proof                      true
% 0.21/0.44  
% 0.21/0.44  % ------ Resolution Options
% 0.21/0.44  
% 0.21/0.44  % --resolution_flag                     true
% 0.21/0.44  % --res_lit_sel                         kbo_max
% 0.21/0.44  % --res_to_prop_solver                  none
% 0.21/0.44  % --res_prop_simpl_new                  false
% 0.21/0.44  % --res_prop_simpl_given                false
% 0.21/0.44  % --res_passive_queue_type              priority_queues
% 0.21/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.44  % --res_passive_queues_freq             [15;5]
% 0.21/0.44  % --res_forward_subs                    full
% 0.21/0.44  % --res_backward_subs                   full
% 0.21/0.44  % --res_forward_subs_resolution         true
% 0.21/0.44  % --res_backward_subs_resolution        true
% 0.21/0.44  % --res_orphan_elimination              false
% 0.21/0.44  % --res_time_limit                      1000.
% 0.21/0.44  % --res_out_proof                       true
% 0.21/0.44  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_e84e09.s
% 0.21/0.44  % --modulo                              true
% 0.21/0.44  
% 0.21/0.44  % ------ Combination Options
% 0.21/0.44  
% 0.21/0.44  % --comb_res_mult                       1000
% 0.21/0.44  % --comb_inst_mult                      300
% 0.21/0.44  % ------ 
% 0.21/0.44  
% 0.21/0.44  % ------ Parsing...% successful
% 0.21/0.44  
% 0.21/0.44  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.21/0.44  
% 0.21/0.44  % ------ Proving...
% 0.21/0.44  % ------ Problem Properties 
% 0.21/0.44  
% 0.21/0.44  % 
% 0.21/0.44  % EPR                                   false
% 0.21/0.44  % Horn                                  false
% 0.21/0.44  % Has equality                          true
% 0.21/0.44  
% 0.21/0.44  % % ------ Input Options Time Limit: Unbounded
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  % % ------ Current options:
% 0.21/0.44  
% 0.21/0.44  % ------ Input Options
% 0.21/0.44  
% 0.21/0.44  % --out_options                         all
% 0.21/0.44  % --tptp_safe_out                       true
% 0.21/0.44  % --problem_path                        ""
% 0.21/0.44  % --include_path                        ""
% 0.21/0.44  % --clausifier                          .//eprover
% 0.21/0.44  % --clausifier_options                  --tstp-format  
% 0.21/0.44  % --stdin                               false
% 0.21/0.44  % --dbg_backtrace                       false
% 0.21/0.44  % --dbg_dump_prop_clauses               false
% 0.21/0.44  % --dbg_dump_prop_clauses_file          -
% 0.21/0.44  % --dbg_out_stat                        false
% 0.21/0.44  
% 0.21/0.44  % ------ General Options
% 0.21/0.44  
% 0.21/0.44  % --fof                                 false
% 0.21/0.44  % --time_out_real                       150.
% 0.21/0.44  % --time_out_prep_mult                  0.2
% 0.21/0.44  % --time_out_virtual                    -1.
% 0.21/0.44  % --schedule                            none
% 0.21/0.44  % --ground_splitting                    input
% 0.21/0.44  % --splitting_nvd                       16
% 0.21/0.44  % --non_eq_to_eq                        false
% 0.21/0.44  % --prep_gs_sim                         true
% 0.21/0.44  % --prep_unflatten                      false
% 0.21/0.44  % --prep_res_sim                        true
% 0.21/0.44  % --prep_upred                          true
% 0.21/0.44  % --res_sim_input                       true
% 0.21/0.44  % --clause_weak_htbl                    true
% 0.21/0.44  % --gc_record_bc_elim                   false
% 0.21/0.44  % --symbol_type_check                   false
% 0.21/0.44  % --clausify_out                        false
% 0.21/0.44  % --large_theory_mode                   false
% 0.21/0.44  % --prep_sem_filter                     none
% 0.21/0.44  % --prep_sem_filter_out                 false
% 0.21/0.44  % --preprocessed_out                    false
% 0.21/0.44  % --sub_typing                          false
% 0.21/0.44  % --brand_transform                     false
% 0.21/0.44  % --pure_diseq_elim                     true
% 0.21/0.44  % --min_unsat_core                      false
% 0.21/0.44  % --pred_elim                           true
% 0.21/0.44  % --add_important_lit                   false
% 0.21/0.44  % --soft_assumptions                    false
% 0.21/0.44  % --reset_solvers                       false
% 0.21/0.44  % --bc_imp_inh                          []
% 0.21/0.44  % --conj_cone_tolerance                 1.5
% 0.21/0.44  % --prolific_symb_bound                 500
% 0.21/0.44  % --lt_threshold                        2000
% 0.21/0.44  
% 0.21/0.44  % ------ SAT Options
% 0.21/0.44  
% 0.21/0.44  % --sat_mode                            false
% 0.21/0.44  % --sat_fm_restart_options              ""
% 0.21/0.44  % --sat_gr_def                          false
% 0.21/0.44  % --sat_epr_types                       true
% 0.21/0.44  % --sat_non_cyclic_types                false
% 0.21/0.44  % --sat_finite_models                   false
% 0.21/0.44  % --sat_fm_lemmas                       false
% 0.21/0.44  % --sat_fm_prep                         false
% 0.21/0.44  % --sat_fm_uc_incr                      true
% 0.21/0.44  % --sat_out_model                       small
% 0.21/0.44  % --sat_out_clauses                     false
% 0.21/0.44  
% 0.21/0.44  % ------ QBF Options
% 0.21/0.44  
% 0.21/0.44  % --qbf_mode                            false
% 0.21/0.44  % --qbf_elim_univ                       true
% 0.21/0.44  % --qbf_sk_in                           true
% 0.21/0.44  % --qbf_pred_elim                       true
% 0.21/0.44  % --qbf_split                           32
% 0.21/0.44  
% 0.21/0.44  % ------ BMC1 Options
% 0.21/0.44  
% 0.21/0.44  % --bmc1_incremental                    false
% 0.21/0.44  % --bmc1_axioms                         reachable_all
% 0.21/0.44  % --bmc1_min_bound                      0
% 0.21/0.44  % --bmc1_max_bound                      -1
% 0.21/0.44  % --bmc1_max_bound_default              -1
% 0.21/0.44  % --bmc1_symbol_reachability            true
% 0.21/0.44  % --bmc1_property_lemmas                false
% 0.21/0.44  % --bmc1_k_induction                    false
% 0.21/0.44  % --bmc1_non_equiv_states               false
% 0.21/0.44  % --bmc1_deadlock                       false
% 0.21/0.44  % --bmc1_ucm                            false
% 0.21/0.44  % --bmc1_add_unsat_core                 none
% 0.21/0.44  % --bmc1_unsat_core_children            false
% 0.21/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.44  % --bmc1_out_stat                       full
% 0.21/0.44  % --bmc1_ground_init                    false
% 0.21/0.44  % --bmc1_pre_inst_next_state            false
% 0.21/0.44  % --bmc1_pre_inst_state                 false
% 0.21/0.44  % --bmc1_pre_inst_reach_state           false
% 0.21/0.44  % --bmc1_out_unsat_core                 false
% 0.21/0.44  % --bmc1_aig_witness_out                false
% 0.21/0.44  % --bmc1_verbose                        false
% 0.21/0.44  % --bmc1_dump_clauses_tptp              false
% 0.21/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.44  % --bmc1_dump_file                      -
% 0.21/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.44  % --bmc1_ucm_extend_mode                1
% 0.21/0.44  % --bmc1_ucm_init_mode                  2
% 0.21/0.44  % --bmc1_ucm_cone_mode                  none
% 0.21/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.44  % --bmc1_ucm_relax_model                4
% 0.21/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.44  % --bmc1_ucm_layered_model              none
% 0.21/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.44  
% 0.21/0.44  % ------ AIG Options
% 0.21/0.44  
% 0.21/0.44  % --aig_mode                            false
% 0.21/0.44  
% 0.21/0.44  % ------ Instantiation Options
% 0.21/0.44  
% 0.21/0.44  % --instantiation_flag                  true
% 0.21/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.44  % --inst_solver_per_active              750
% 0.21/0.44  % --inst_solver_calls_frac              0.5
% 0.21/0.44  % --inst_passive_queue_type             priority_queues
% 0.21/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.44  % --inst_passive_queues_freq            [25;2]
% 0.21/0.44  % --inst_dismatching                    true
% 0.21/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.44  % --inst_prop_sim_given                 true
% 0.21/0.44  % --inst_prop_sim_new                   false
% 0.21/0.44  % --inst_orphan_elimination             true
% 0.21/0.44  % --inst_learning_loop_flag             true
% 0.21/0.44  % --inst_learning_start                 3000
% 0.21/0.44  % --inst_learning_factor                2
% 0.21/0.44  % --inst_start_prop_sim_after_learn     3
% 0.21/0.44  % --inst_sel_renew                      solver
% 0.21/0.44  % --inst_lit_activity_flag              true
% 0.21/0.44  % --inst_out_proof                      true
% 0.21/0.44  
% 0.21/0.44  % ------ Resolution Options
% 0.21/0.44  
% 0.21/0.44  % --resolution_flag                     true
% 0.21/0.44  % --res_lit_sel                         kbo_max
% 0.21/0.44  % --res_to_prop_solver                  none
% 0.21/0.44  % --res_prop_simpl_new                  false
% 0.21/0.44  % --res_prop_simpl_given                false
% 0.21/0.44  % --res_passive_queue_type              priority_queues
% 0.21/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.44  % --res_passive_queues_freq             [15;5]
% 0.21/0.44  % --res_forward_subs                    full
% 0.21/0.44  % --res_backward_subs                   full
% 0.21/0.44  % --res_forward_subs_resolution         true
% 0.21/0.44  % --res_backward_subs_resolution        true
% 0.21/0.44  % --res_orphan_elimination              false
% 0.21/0.44  % --res_time_limit                      1000.
% 0.21/0.44  % --res_out_proof                       true
% 0.21/0.44  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_e84e09.s
% 0.21/0.44  % --modulo                              true
% 0.21/0.44  
% 0.21/0.44  % ------ Combination Options
% 0.21/0.44  
% 0.21/0.44  % --comb_res_mult                       1000
% 0.21/0.44  % --comb_inst_mult                      300
% 0.21/0.44  % ------ 
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  % ------ Proving...
% 0.21/0.44  % 
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  %  Resolution empty clause
% 0.21/0.44  
% 0.21/0.44  % ------                             Statistics
% 0.21/0.44  
% 0.21/0.44  % ------ General
% 0.21/0.44  
% 0.21/0.44  % num_of_input_clauses:                 54
% 0.21/0.44  % num_of_input_neg_conjectures:         1
% 0.21/0.44  % num_of_splits:                        0
% 0.21/0.44  % num_of_split_atoms:                   0
% 0.21/0.44  % num_of_sem_filtered_clauses:          0
% 0.21/0.44  % num_of_subtypes:                      0
% 0.21/0.44  % monotx_restored_types:                0
% 0.21/0.44  % sat_num_of_epr_types:                 0
% 0.21/0.44  % sat_num_of_non_cyclic_types:          0
% 0.21/0.44  % sat_guarded_non_collapsed_types:      0
% 0.21/0.44  % is_epr:                               0
% 0.21/0.44  % is_horn:                              0
% 0.21/0.44  % has_eq:                               1
% 0.21/0.44  % num_pure_diseq_elim:                  0
% 0.21/0.44  % simp_replaced_by:                     0
% 0.21/0.44  % res_preprocessed:                     3
% 0.21/0.44  % prep_upred:                           0
% 0.21/0.44  % prep_unflattend:                      0
% 0.21/0.44  % pred_elim_cands:                      0
% 0.21/0.44  % pred_elim:                            0
% 0.21/0.44  % pred_elim_cl:                         0
% 0.21/0.44  % pred_elim_cycles:                     0
% 0.21/0.44  % forced_gc_time:                       0
% 0.21/0.44  % gc_basic_clause_elim:                 0
% 0.21/0.44  % parsing_time:                         0.002
% 0.21/0.44  % sem_filter_time:                      0.
% 0.21/0.44  % pred_elim_time:                       0.
% 0.21/0.44  % out_proof_time:                       0.
% 0.21/0.44  % monotx_time:                          0.
% 0.21/0.44  % subtype_inf_time:                     0.
% 0.21/0.44  % unif_index_cands_time:                0.
% 0.21/0.44  % unif_index_add_time:                  0.
% 0.21/0.44  % total_time:                           0.024
% 0.21/0.44  % num_of_symbols:                       53
% 0.21/0.44  % num_of_terms:                         97
% 0.21/0.44  
% 0.21/0.44  % ------ Propositional Solver
% 0.21/0.44  
% 0.21/0.44  % prop_solver_calls:                    1
% 0.21/0.44  % prop_fast_solver_calls:               5
% 0.21/0.44  % prop_num_of_clauses:                  24
% 0.21/0.44  % prop_preprocess_simplified:           185
% 0.21/0.44  % prop_fo_subsumed:                     0
% 0.21/0.44  % prop_solver_time:                     0.
% 0.21/0.44  % prop_fast_solver_time:                0.
% 0.21/0.44  % prop_unsat_core_time:                 0.
% 0.21/0.44  
% 0.21/0.44  % ------ QBF 
% 0.21/0.44  
% 0.21/0.44  % qbf_q_res:                            0
% 0.21/0.44  % qbf_num_tautologies:                  0
% 0.21/0.44  % qbf_prep_cycles:                      0
% 0.21/0.44  
% 0.21/0.44  % ------ BMC1
% 0.21/0.44  
% 0.21/0.44  % bmc1_current_bound:                   -1
% 0.21/0.44  % bmc1_last_solved_bound:               -1
% 0.21/0.44  % bmc1_unsat_core_size:                 -1
% 0.21/0.44  % bmc1_unsat_core_parents_size:         -1
% 0.21/0.44  % bmc1_merge_next_fun:                  0
% 0.21/0.44  % bmc1_unsat_core_clauses_time:         0.
% 0.21/0.44  
% 0.21/0.44  % ------ Instantiation
% 0.21/0.44  
% 0.21/0.44  % inst_num_of_clauses:                  50
% 0.21/0.44  % inst_num_in_passive:                  0
% 0.21/0.44  % inst_num_in_active:                   0
% 0.21/0.44  % inst_num_in_unprocessed:              54
% 0.21/0.44  % inst_num_of_loops:                    0
% 0.21/0.44  % inst_num_of_learning_restarts:        0
% 0.21/0.44  % inst_num_moves_active_passive:        0
% 0.21/0.44  % inst_lit_activity:                    0
% 0.21/0.44  % inst_lit_activity_moves:              0
% 0.21/0.44  % inst_num_tautologies:                 0
% 0.21/0.44  % inst_num_prop_implied:                0
% 0.21/0.44  % inst_num_existing_simplified:         0
% 0.21/0.44  % inst_num_eq_res_simplified:           0
% 0.21/0.44  % inst_num_child_elim:                  0
% 0.21/0.44  % inst_num_of_dismatching_blockings:    0
% 0.21/0.44  % inst_num_of_non_proper_insts:         0
% 0.21/0.44  % inst_num_of_duplicates:               0
% 0.21/0.44  % inst_inst_num_from_inst_to_res:       0
% 0.21/0.44  % inst_dismatching_checking_time:       0.
% 0.21/0.44  
% 0.21/0.44  % ------ Resolution
% 0.21/0.44  
% 0.21/0.44  % res_num_of_clauses:                   47
% 0.21/0.44  % res_num_in_passive:                   2
% 0.21/0.44  % res_num_in_active:                    12
% 0.21/0.44  % res_num_of_loops:                     2
% 0.21/0.44  % res_forward_subset_subsumed:          33
% 0.21/0.44  % res_backward_subset_subsumed:         1
% 0.21/0.44  % res_forward_subsumed:                 0
% 0.21/0.44  % res_backward_subsumed:                5
% 0.21/0.44  % res_forward_subsumption_resolution:   1
% 0.21/0.44  % res_backward_subsumption_resolution:  2
% 0.21/0.44  % res_clause_to_clause_subsumption:     8
% 0.21/0.44  % res_orphan_elimination:               0
% 0.21/0.44  % res_tautology_del:                    0
% 0.21/0.44  % res_num_eq_res_simplified:            0
% 0.21/0.44  % res_num_sel_changes:                  0
% 0.21/0.44  % res_moves_from_active_to_pass:        0
% 0.21/0.44  
% 0.21/0.44  % Status Unsatisfiable
% 0.21/0.44  % SZS status Theorem
% 0.21/0.44  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------