TSTP Solution File: SYN577-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SYN577-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n016.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 07:30:04 EDT 2022

% Result   : Unsatisfiable 69.01s 69.23s
% Output   : CNFRefutation 69.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  162 (  78 unt;   0 def)
%            Number of atoms       :  433 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  556 ( 285   ~; 271   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-2 aty)
%            Number of variables   :  283 (   4 sgn 129   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
% Start CNF derivation
% End CNF derivation
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0,negated_conjecture,
    ! [X29,X30,X31,X32,X33,X34,X35] :
      ( p2(X30,X29)
      | ~ p7(X31,c10)
      | ~ p7(X35,c12)
      | ~ p7(X34,c12)
      | ~ p8(c14,X34)
      | ~ p8(c14,X35)
      | ~ p2(f3(c12,X34),X32)
      | ~ p2(f3(c12,X35),X33)
      | ~ p2(f4(X33,c14),f5(f6(X31),X30))
      | ~ p2(f4(X32,c14),f5(f6(X31),X29)) ),
    file('<stdin>',p2_22) ).

fof(c_0_1,negated_conjecture,
    ! [X29,X30,X31,X32,X33,X34,X35] :
      ( p2(X35,X34)
      | ~ p7(X31,c10)
      | ~ p7(X35,c12)
      | ~ p7(X34,c12)
      | ~ p8(c14,X34)
      | ~ p8(c14,X35)
      | ~ p2(f3(c12,X34),X32)
      | ~ p2(f3(c12,X35),X33)
      | ~ p2(f4(X33,c14),f5(f6(X31),X30))
      | ~ p2(f4(X32,c14),f5(f6(X31),X29)) ),
    file('<stdin>',p2_21) ).

fof(c_0_2,negated_conjecture,
    ! [X26,X27,X28] :
      ( ~ p7(X26,c10)
      | ~ p2(c15,X28)
      | ~ p2(c16,X27)
      | ~ p2(f4(X28,c14),f5(f6(X26),c19))
      | ~ p2(f4(X27,c14),f5(f6(X26),c20)) ),
    file('<stdin>',not_p7_20) ).

fof(c_0_3,negated_conjecture,
    ! [X22,X23,X24,X25] :
      ( p2(f4(X25,X24),f4(X23,X22))
      | ~ p2(X25,X23)
      | ~ p2(X24,X22) ),
    file('<stdin>',p2_19) ).

fof(c_0_4,negated_conjecture,
    ! [X18,X19,X20,X21] :
      ( p2(f5(X21,X20),f5(X19,X18))
      | ~ p2(X20,X18)
      | ~ p2(X21,X19) ),
    file('<stdin>',p2_18) ).

fof(c_0_5,negated_conjecture,
    ! [X14,X15,X16,X17] :
      ( p2(f3(X17,X16),f3(X15,X14))
      | ~ p2(X17,X15)
      | ~ p2(X16,X14) ),
    file('<stdin>',p2_17) ).

fof(c_0_6,negated_conjecture,
    ! [X10,X11,X12,X13] :
      ( p7(X13,X12)
      | ~ p2(X10,X12)
      | ~ p7(X11,X10)
      | ~ p2(X11,X13) ),
    file('<stdin>',p7_16) ).

fof(c_0_7,negated_conjecture,
    ! [X6,X7,X8,X9] :
      ( p8(X9,X8)
      | ~ p2(X6,X8)
      | ~ p8(X7,X6)
      | ~ p2(X7,X9) ),
    file('<stdin>',p8_15) ).

fof(c_0_8,negated_conjecture,
    ! [X4,X5,X1] :
      ( p2(X5,X4)
      | ~ p2(X1,X5)
      | ~ p2(X1,X4) ),
    file('<stdin>',p2_14) ).

fof(c_0_9,negated_conjecture,
    ! [X2,X3] :
      ( p2(f6(X3),f6(X2))
      | ~ p2(X3,X2) ),
    file('<stdin>',p2_13) ).

fof(c_0_10,negated_conjecture,
    p2(f5(f6(c9),c20),c18),
    file('<stdin>',p2_12) ).

fof(c_0_11,negated_conjecture,
    p2(f5(f6(c9),c19),c17),
    file('<stdin>',p2_11) ).

fof(c_0_12,negated_conjecture,
    p2(f3(c12,c13),c16),
    file('<stdin>',p2_10) ).

fof(c_0_13,negated_conjecture,
    p2(f4(c15,c14),c17),
    file('<stdin>',p2_9) ).

fof(c_0_14,negated_conjecture,
    p2(f4(c16,c14),c18),
    file('<stdin>',p2_8) ).

fof(c_0_15,negated_conjecture,
    p2(f3(c12,c11),c15),
    file('<stdin>',p2_7) ).

fof(c_0_16,negated_conjecture,
    ! [X1] : p2(X1,X1),
    file('<stdin>',p2_1) ).

fof(c_0_17,negated_conjecture,
    p8(c14,c11),
    file('<stdin>',p8_6) ).

fof(c_0_18,negated_conjecture,
    p7(c9,c10),
    file('<stdin>',p7_5) ).

fof(c_0_19,negated_conjecture,
    p7(c13,c12),
    file('<stdin>',p7_4) ).

fof(c_0_20,negated_conjecture,
    p7(c11,c12),
    file('<stdin>',p7_3) ).

fof(c_0_21,negated_conjecture,
    p8(c14,c13),
    file('<stdin>',p8_2) ).

fof(c_0_22,negated_conjecture,
    ! [X29,X30,X31,X32,X33,X34,X35] :
      ( p2(X30,X29)
      | ~ p7(X31,c10)
      | ~ p7(X35,c12)
      | ~ p7(X34,c12)
      | ~ p8(c14,X34)
      | ~ p8(c14,X35)
      | ~ p2(f3(c12,X34),X32)
      | ~ p2(f3(c12,X35),X33)
      | ~ p2(f4(X33,c14),f5(f6(X31),X30))
      | ~ p2(f4(X32,c14),f5(f6(X31),X29)) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_23,negated_conjecture,
    ! [X29,X30,X31,X32,X33,X34,X35] :
      ( p2(X35,X34)
      | ~ p7(X31,c10)
      | ~ p7(X35,c12)
      | ~ p7(X34,c12)
      | ~ p8(c14,X34)
      | ~ p8(c14,X35)
      | ~ p2(f3(c12,X34),X32)
      | ~ p2(f3(c12,X35),X33)
      | ~ p2(f4(X33,c14),f5(f6(X31),X30))
      | ~ p2(f4(X32,c14),f5(f6(X31),X29)) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_24,negated_conjecture,
    ! [X26,X27,X28] :
      ( ~ p7(X26,c10)
      | ~ p2(c15,X28)
      | ~ p2(c16,X27)
      | ~ p2(f4(X28,c14),f5(f6(X26),c19))
      | ~ p2(f4(X27,c14),f5(f6(X26),c20)) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_25,negated_conjecture,
    ! [X22,X23,X24,X25] :
      ( p2(f4(X25,X24),f4(X23,X22))
      | ~ p2(X25,X23)
      | ~ p2(X24,X22) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_26,negated_conjecture,
    ! [X18,X19,X20,X21] :
      ( p2(f5(X21,X20),f5(X19,X18))
      | ~ p2(X20,X18)
      | ~ p2(X21,X19) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_27,negated_conjecture,
    ! [X14,X15,X16,X17] :
      ( p2(f3(X17,X16),f3(X15,X14))
      | ~ p2(X17,X15)
      | ~ p2(X16,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_28,negated_conjecture,
    ! [X10,X11,X12,X13] :
      ( p7(X13,X12)
      | ~ p2(X10,X12)
      | ~ p7(X11,X10)
      | ~ p2(X11,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_29,negated_conjecture,
    ! [X6,X7,X8,X9] :
      ( p8(X9,X8)
      | ~ p2(X6,X8)
      | ~ p8(X7,X6)
      | ~ p2(X7,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_30,negated_conjecture,
    ! [X4,X5,X1] :
      ( p2(X5,X4)
      | ~ p2(X1,X5)
      | ~ p2(X1,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_31,negated_conjecture,
    ! [X2,X3] :
      ( p2(f6(X3),f6(X2))
      | ~ p2(X3,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_32,negated_conjecture,
    p2(f5(f6(c9),c20),c18),
    c_0_10 ).

fof(c_0_33,negated_conjecture,
    p2(f5(f6(c9),c19),c17),
    c_0_11 ).

fof(c_0_34,negated_conjecture,
    p2(f3(c12,c13),c16),
    c_0_12 ).

fof(c_0_35,negated_conjecture,
    p2(f4(c15,c14),c17),
    c_0_13 ).

fof(c_0_36,negated_conjecture,
    p2(f4(c16,c14),c18),
    c_0_14 ).

fof(c_0_37,negated_conjecture,
    p2(f3(c12,c11),c15),
    c_0_15 ).

fof(c_0_38,negated_conjecture,
    ! [X1] : p2(X1,X1),
    c_0_16 ).

fof(c_0_39,negated_conjecture,
    p8(c14,c11),
    c_0_17 ).

fof(c_0_40,negated_conjecture,
    p7(c9,c10),
    c_0_18 ).

fof(c_0_41,negated_conjecture,
    p7(c13,c12),
    c_0_19 ).

fof(c_0_42,negated_conjecture,
    p7(c11,c12),
    c_0_20 ).

fof(c_0_43,negated_conjecture,
    p8(c14,c13),
    c_0_21 ).

fof(c_0_44,negated_conjecture,
    ! [X36,X37,X38,X39,X40,X41,X42] :
      ( p2(X37,X36)
      | ~ p7(X38,c10)
      | ~ p7(X42,c12)
      | ~ p7(X41,c12)
      | ~ p8(c14,X41)
      | ~ p8(c14,X42)
      | ~ p2(f3(c12,X41),X39)
      | ~ p2(f3(c12,X42),X40)
      | ~ p2(f4(X40,c14),f5(f6(X38),X37))
      | ~ p2(f4(X39,c14),f5(f6(X38),X36)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_22])])]) ).

fof(c_0_45,negated_conjecture,
    ! [X36,X37,X38,X39,X40,X41,X42] :
      ( p2(X42,X41)
      | ~ p7(X38,c10)
      | ~ p7(X42,c12)
      | ~ p7(X41,c12)
      | ~ p8(c14,X41)
      | ~ p8(c14,X42)
      | ~ p2(f3(c12,X41),X39)
      | ~ p2(f3(c12,X42),X40)
      | ~ p2(f4(X40,c14),f5(f6(X38),X37))
      | ~ p2(f4(X39,c14),f5(f6(X38),X36)) ),
    inference(variable_rename,[status(thm)],[c_0_23]) ).

fof(c_0_46,negated_conjecture,
    ! [X29,X30,X31] :
      ( ~ p7(X29,c10)
      | ~ p2(c15,X31)
      | ~ p2(c16,X30)
      | ~ p2(f4(X31,c14),f5(f6(X29),c19))
      | ~ p2(f4(X30,c14),f5(f6(X29),c20)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_24])])]) ).

fof(c_0_47,negated_conjecture,
    ! [X26,X27,X28,X29] :
      ( p2(f4(X29,X28),f4(X27,X26))
      | ~ p2(X29,X27)
      | ~ p2(X28,X26) ),
    inference(variable_rename,[status(thm)],[c_0_25]) ).

fof(c_0_48,negated_conjecture,
    ! [X22,X23,X24,X25] :
      ( p2(f5(X25,X24),f5(X23,X22))
      | ~ p2(X24,X22)
      | ~ p2(X25,X23) ),
    inference(variable_rename,[status(thm)],[c_0_26]) ).

fof(c_0_49,negated_conjecture,
    ! [X18,X19,X20,X21] :
      ( p2(f3(X21,X20),f3(X19,X18))
      | ~ p2(X21,X19)
      | ~ p2(X20,X18) ),
    inference(variable_rename,[status(thm)],[c_0_27]) ).

fof(c_0_50,negated_conjecture,
    ! [X14,X15,X16,X17] :
      ( p7(X17,X16)
      | ~ p2(X14,X16)
      | ~ p7(X15,X14)
      | ~ p2(X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_28]) ).

fof(c_0_51,negated_conjecture,
    ! [X10,X11,X12,X13] :
      ( p8(X13,X12)
      | ~ p2(X10,X12)
      | ~ p8(X11,X10)
      | ~ p2(X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_29]) ).

fof(c_0_52,negated_conjecture,
    ! [X6,X7,X8] :
      ( p2(X7,X6)
      | ~ p2(X8,X7)
      | ~ p2(X8,X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_30])])]) ).

fof(c_0_53,negated_conjecture,
    ! [X4,X5] :
      ( p2(f6(X5),f6(X4))
      | ~ p2(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_31]) ).

fof(c_0_54,negated_conjecture,
    p2(f5(f6(c9),c20),c18),
    c_0_32 ).

fof(c_0_55,negated_conjecture,
    p2(f5(f6(c9),c19),c17),
    c_0_33 ).

fof(c_0_56,negated_conjecture,
    p2(f3(c12,c13),c16),
    c_0_34 ).

fof(c_0_57,negated_conjecture,
    p2(f4(c15,c14),c17),
    c_0_35 ).

fof(c_0_58,negated_conjecture,
    p2(f4(c16,c14),c18),
    c_0_36 ).

fof(c_0_59,negated_conjecture,
    p2(f3(c12,c11),c15),
    c_0_37 ).

fof(c_0_60,negated_conjecture,
    ! [X2] : p2(X2,X2),
    inference(variable_rename,[status(thm)],[c_0_38]) ).

fof(c_0_61,negated_conjecture,
    p8(c14,c11),
    c_0_39 ).

fof(c_0_62,negated_conjecture,
    p7(c9,c10),
    c_0_40 ).

fof(c_0_63,negated_conjecture,
    p7(c13,c12),
    c_0_41 ).

fof(c_0_64,negated_conjecture,
    p7(c11,c12),
    c_0_42 ).

fof(c_0_65,negated_conjecture,
    p8(c14,c13),
    c_0_43 ).

cnf(c_0_66,negated_conjecture,
    ( p2(X5,X3)
    | ~ p2(f4(X1,c14),f5(f6(X2),X3))
    | ~ p2(f4(X4,c14),f5(f6(X2),X5))
    | ~ p2(f3(c12,X6),X4)
    | ~ p2(f3(c12,X7),X1)
    | ~ p8(c14,X6)
    | ~ p8(c14,X7)
    | ~ p7(X7,c12)
    | ~ p7(X6,c12)
    | ~ p7(X2,c10) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_67,negated_conjecture,
    ( p2(X6,X7)
    | ~ p2(f4(X1,c14),f5(f6(X2),X3))
    | ~ p2(f4(X4,c14),f5(f6(X2),X5))
    | ~ p2(f3(c12,X6),X4)
    | ~ p2(f3(c12,X7),X1)
    | ~ p8(c14,X6)
    | ~ p8(c14,X7)
    | ~ p7(X7,c12)
    | ~ p7(X6,c12)
    | ~ p7(X2,c10) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ p2(f4(X1,c14),f5(f6(X2),c20))
    | ~ p2(f4(X3,c14),f5(f6(X2),c19))
    | ~ p2(c16,X1)
    | ~ p2(c15,X3)
    | ~ p7(X2,c10) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_69,negated_conjecture,
    ( p2(f4(X3,X1),f4(X4,X2))
    | ~ p2(X1,X2)
    | ~ p2(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_70,negated_conjecture,
    ( p2(f5(X1,X3),f5(X2,X4))
    | ~ p2(X1,X2)
    | ~ p2(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_71,negated_conjecture,
    ( p2(f3(X3,X1),f3(X4,X2))
    | ~ p2(X1,X2)
    | ~ p2(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_72,negated_conjecture,
    ( p7(X2,X4)
    | ~ p2(X1,X2)
    | ~ p7(X1,X3)
    | ~ p2(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_73,negated_conjecture,
    ( p8(X2,X4)
    | ~ p2(X1,X2)
    | ~ p8(X1,X3)
    | ~ p2(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_74,negated_conjecture,
    ( p2(X3,X2)
    | ~ p2(X1,X2)
    | ~ p2(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_75,negated_conjecture,
    ( p2(f6(X1),f6(X2))
    | ~ p2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_76,negated_conjecture,
    p2(f5(f6(c9),c20),c18),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_77,negated_conjecture,
    p2(f5(f6(c9),c19),c17),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_78,negated_conjecture,
    p2(f3(c12,c13),c16),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_79,negated_conjecture,
    p2(f4(c15,c14),c17),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_80,negated_conjecture,
    p2(f4(c16,c14),c18),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_81,negated_conjecture,
    p2(f3(c12,c11),c15),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_82,negated_conjecture,
    p2(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_83,negated_conjecture,
    p8(c14,c11),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_84,negated_conjecture,
    p7(c9,c10),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_85,negated_conjecture,
    p7(c13,c12),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_86,negated_conjecture,
    p7(c11,c12),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_87,negated_conjecture,
    p8(c14,c13),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_88,negated_conjecture,
    ( p2(X5,X3)
    | ~ p2(f4(X1,c14),f5(f6(X2),X3))
    | ~ p2(f4(X4,c14),f5(f6(X2),X5))
    | ~ p2(f3(c12,X6),X4)
    | ~ p2(f3(c12,X7),X1)
    | ~ p8(c14,X6)
    | ~ p8(c14,X7)
    | ~ p7(X7,c12)
    | ~ p7(X6,c12)
    | ~ p7(X2,c10) ),
    c_0_66,
    [final] ).

cnf(c_0_89,negated_conjecture,
    ( p2(X6,X7)
    | ~ p2(f4(X1,c14),f5(f6(X2),X3))
    | ~ p2(f4(X4,c14),f5(f6(X2),X5))
    | ~ p2(f3(c12,X6),X4)
    | ~ p2(f3(c12,X7),X1)
    | ~ p8(c14,X6)
    | ~ p8(c14,X7)
    | ~ p7(X7,c12)
    | ~ p7(X6,c12)
    | ~ p7(X2,c10) ),
    c_0_67,
    [final] ).

cnf(c_0_90,negated_conjecture,
    ( ~ p2(f4(X1,c14),f5(f6(X2),c20))
    | ~ p2(f4(X3,c14),f5(f6(X2),c19))
    | ~ p2(c16,X1)
    | ~ p2(c15,X3)
    | ~ p7(X2,c10) ),
    c_0_68,
    [final] ).

cnf(c_0_91,negated_conjecture,
    ( p2(f4(X3,X1),f4(X4,X2))
    | ~ p2(X1,X2)
    | ~ p2(X3,X4) ),
    c_0_69,
    [final] ).

cnf(c_0_92,negated_conjecture,
    ( p2(f5(X1,X3),f5(X2,X4))
    | ~ p2(X1,X2)
    | ~ p2(X3,X4) ),
    c_0_70,
    [final] ).

cnf(c_0_93,negated_conjecture,
    ( p2(f3(X3,X1),f3(X4,X2))
    | ~ p2(X1,X2)
    | ~ p2(X3,X4) ),
    c_0_71,
    [final] ).

cnf(c_0_94,negated_conjecture,
    ( p7(X2,X4)
    | ~ p2(X1,X2)
    | ~ p7(X1,X3)
    | ~ p2(X3,X4) ),
    c_0_72,
    [final] ).

cnf(c_0_95,negated_conjecture,
    ( p8(X2,X4)
    | ~ p2(X1,X2)
    | ~ p8(X1,X3)
    | ~ p2(X3,X4) ),
    c_0_73,
    [final] ).

cnf(c_0_96,negated_conjecture,
    ( p2(X3,X2)
    | ~ p2(X1,X2)
    | ~ p2(X1,X3) ),
    c_0_74,
    [final] ).

cnf(c_0_97,negated_conjecture,
    ( p2(f6(X1),f6(X2))
    | ~ p2(X1,X2) ),
    c_0_75,
    [final] ).

cnf(c_0_98,negated_conjecture,
    p2(f5(f6(c9),c20),c18),
    c_0_76,
    [final] ).

cnf(c_0_99,negated_conjecture,
    p2(f5(f6(c9),c19),c17),
    c_0_77,
    [final] ).

cnf(c_0_100,negated_conjecture,
    p2(f3(c12,c13),c16),
    c_0_78,
    [final] ).

cnf(c_0_101,negated_conjecture,
    p2(f4(c15,c14),c17),
    c_0_79,
    [final] ).

cnf(c_0_102,negated_conjecture,
    p2(f4(c16,c14),c18),
    c_0_80,
    [final] ).

cnf(c_0_103,negated_conjecture,
    p2(f3(c12,c11),c15),
    c_0_81,
    [final] ).

cnf(c_0_104,negated_conjecture,
    p2(X1,X1),
    c_0_82,
    [final] ).

cnf(c_0_105,negated_conjecture,
    p8(c14,c11),
    c_0_83,
    [final] ).

cnf(c_0_106,negated_conjecture,
    p7(c9,c10),
    c_0_84,
    [final] ).

cnf(c_0_107,negated_conjecture,
    p7(c13,c12),
    c_0_85,
    [final] ).

cnf(c_0_108,negated_conjecture,
    p7(c11,c12),
    c_0_86,
    [final] ).

cnf(c_0_109,negated_conjecture,
    p8(c14,c13),
    c_0_87,
    [final] ).

% End CNF derivation

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

cnf(c_8,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_dae66f.p',c_0_96) ).

cnf(c_44,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    inference(copy,[status(esa)],[c_8]) ).

cnf(c_124,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    inference(copy,[status(esa)],[c_44]) ).

cnf(c_151,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    inference(copy,[status(esa)],[c_124]) ).

cnf(c_168,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    inference(copy,[status(esa)],[c_151]) ).

cnf(c_190,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    inference(copy,[status(esa)],[c_168]) ).

cnf(c_1948528,plain,
    ( ~ p2(X0,f5(f6(c9),c19))
    | p2(X1,f5(f6(c9),c19))
    | ~ p2(X0,X1) ),
    inference(instantiation,[status(thm)],[c_190]) ).

cnf(c_3698314,plain,
    ( ~ p2(f5(f6(c9),c19),f5(f6(c9),c19))
    | ~ p2(f5(f6(c9),c19),X0)
    | p2(X0,f5(f6(c9),c19)) ),
    inference(instantiation,[status(thm)],[c_1948528]) ).

cnf(c_3699483,plain,
    ( ~ p2(f5(f6(c9),c19),f5(f6(c9),c19))
    | ~ p2(f5(f6(c9),c19),c17)
    | p2(c17,f5(f6(c9),c19)) ),
    inference(instantiation,[status(thm)],[c_3698314]) ).

cnf(c_16,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_dae66f.p',c_0_104) ).

cnf(c_60,negated_conjecture,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_16]) ).

cnf(c_132,negated_conjecture,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_60]) ).

cnf(c_143,negated_conjecture,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_132]) ).

cnf(c_176,negated_conjecture,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_143]) ).

cnf(c_198,negated_conjecture,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_176]) ).

cnf(c_3698315,plain,
    p2(f5(f6(c9),c19),f5(f6(c9),c19)),
    inference(instantiation,[status(thm)],[c_198]) ).

cnf(c_796811,plain,
    ( ~ p2(X0,f5(f6(c9),c20))
    | p2(X1,f5(f6(c9),c20))
    | ~ p2(X0,X1) ),
    inference(instantiation,[status(thm)],[c_190]) ).

cnf(c_797563,plain,
    ( ~ p2(f5(X0,X1),f5(f6(c9),c20))
    | ~ p2(f5(X0,X1),X2)
    | p2(X2,f5(f6(c9),c20)) ),
    inference(instantiation,[status(thm)],[c_796811]) ).

cnf(c_1947839,plain,
    ( ~ p2(f5(f6(c9),c20),f5(f6(c9),c20))
    | ~ p2(f5(f6(c9),c20),X0)
    | p2(X0,f5(f6(c9),c20)) ),
    inference(instantiation,[status(thm)],[c_797563]) ).

cnf(c_1948398,plain,
    ( ~ p2(f5(f6(c9),c20),f5(f6(c9),c20))
    | ~ p2(f5(f6(c9),c20),c18)
    | p2(c18,f5(f6(c9),c20)) ),
    inference(instantiation,[status(thm)],[c_1947839]) ).

cnf(c_121437,plain,
    ( p2(f4(c15,c14),f5(f6(c9),c19))
    | ~ p2(X0,f4(c15,c14))
    | ~ p2(X0,f5(f6(c9),c19)) ),
    inference(instantiation,[status(thm)],[c_190]) ).

cnf(c_797594,plain,
    ( p2(f4(c15,c14),f5(f6(c9),c19))
    | ~ p2(c17,f4(c15,c14))
    | ~ p2(c17,f5(f6(c9),c19)) ),
    inference(instantiation,[status(thm)],[c_121437]) ).

cnf(c_797554,plain,
    p2(f5(f6(c9),c20),f5(f6(c9),c20)),
    inference(instantiation,[status(thm)],[c_198]) ).

cnf(c_121534,plain,
    ( ~ p2(X0,f4(c15,c14))
    | p2(X1,f4(c15,c14))
    | ~ p2(X0,X1) ),
    inference(instantiation,[status(thm)],[c_190]) ).

cnf(c_796754,plain,
    ( ~ p2(f4(X0,X1),f4(c15,c14))
    | ~ p2(f4(X0,X1),X2)
    | p2(X2,f4(c15,c14)) ),
    inference(instantiation,[status(thm)],[c_121534]) ).

cnf(c_797173,plain,
    ( ~ p2(f4(c15,c14),f4(c15,c14))
    | ~ p2(f4(c15,c14),X0)
    | p2(X0,f4(c15,c14)) ),
    inference(instantiation,[status(thm)],[c_796754]) ).

cnf(c_797545,plain,
    ( ~ p2(f4(c15,c14),f4(c15,c14))
    | ~ p2(f4(c15,c14),c17)
    | p2(c17,f4(c15,c14)) ),
    inference(instantiation,[status(thm)],[c_797173]) ).

cnf(c_121137,plain,
    ( p2(f4(c16,c14),f5(f6(c9),c20))
    | ~ p2(X0,f4(c16,c14))
    | ~ p2(X0,f5(f6(c9),c20)) ),
    inference(instantiation,[status(thm)],[c_190]) ).

cnf(c_796796,plain,
    ( p2(f4(c16,c14),f5(f6(c9),c20))
    | ~ p2(c18,f4(c16,c14))
    | ~ p2(c18,f5(f6(c9),c20)) ),
    inference(instantiation,[status(thm)],[c_121137]) ).

cnf(c_796749,plain,
    p2(f4(c15,c14),f4(c15,c14)),
    inference(instantiation,[status(thm)],[c_198]) ).

cnf(c_121160,plain,
    ( ~ p2(X0,f4(c16,c14))
    | p2(X1,f4(c16,c14))
    | ~ p2(X0,X1) ),
    inference(instantiation,[status(thm)],[c_190]) ).

cnf(c_121470,plain,
    ( ~ p2(f4(X0,X1),f4(c16,c14))
    | ~ p2(f4(X0,X1),X2)
    | p2(X2,f4(c16,c14)) ),
    inference(instantiation,[status(thm)],[c_121160]) ).

cnf(c_121753,plain,
    ( ~ p2(f4(c16,c14),f4(c16,c14))
    | ~ p2(f4(c16,c14),X0)
    | p2(X0,f4(c16,c14)) ),
    inference(instantiation,[status(thm)],[c_121470]) ).

cnf(c_796731,plain,
    ( ~ p2(f4(c16,c14),f4(c16,c14))
    | ~ p2(f4(c16,c14),c18)
    | p2(c18,f4(c16,c14)) ),
    inference(instantiation,[status(thm)],[c_121753]) ).

cnf(c_121465,plain,
    p2(f4(c16,c14),f4(c16,c14)),
    inference(instantiation,[status(thm)],[c_198]) ).

cnf(c_2,negated_conjecture,
    ( ~ p2(f4(X0,c14),f5(f6(X1),c20))
    | ~ p2(f4(X2,c14),f5(f6(X1),c19))
    | ~ p2(c16,X0)
    | ~ p2(c15,X2)
    | ~ p7(X1,c10) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_dae66f.p',c_0_90) ).

cnf(c_32,negated_conjecture,
    ( ~ p2(f4(X0,c14),f5(f6(X1),c20))
    | ~ p2(f4(X2,c14),f5(f6(X1),c19))
    | ~ p2(c16,X0)
    | ~ p2(c15,X2)
    | ~ p7(X1,c10) ),
    inference(copy,[status(esa)],[c_2]) ).

cnf(c_118,negated_conjecture,
    ( ~ p2(f4(X0,c14),f5(f6(X1),c20))
    | ~ p2(f4(X2,c14),f5(f6(X1),c19))
    | ~ p2(c16,X0)
    | ~ p2(c15,X2)
    | ~ p7(X1,c10) ),
    inference(copy,[status(esa)],[c_32]) ).

cnf(c_157,negated_conjecture,
    ( ~ p2(f4(X0,c14),f5(f6(X1),c20))
    | ~ p2(f4(X2,c14),f5(f6(X1),c19))
    | ~ p2(c16,X0)
    | ~ p2(c15,X2)
    | ~ p7(X1,c10) ),
    inference(copy,[status(esa)],[c_118]) ).

cnf(c_162,negated_conjecture,
    ( ~ p2(f4(X0,c14),f5(f6(X1),c20))
    | ~ p2(f4(X2,c14),f5(f6(X1),c19))
    | ~ p2(c16,X0)
    | ~ p2(c15,X2)
    | ~ p7(X1,c10) ),
    inference(copy,[status(esa)],[c_157]) ).

cnf(c_184,negated_conjecture,
    ( ~ p2(f4(X0,c14),f5(f6(X1),c20))
    | ~ p2(f4(X2,c14),f5(f6(X1),c19))
    | ~ p2(c16,X0)
    | ~ p2(c15,X2)
    | ~ p7(X1,c10) ),
    inference(copy,[status(esa)],[c_162]) ).

cnf(c_120605,plain,
    ( ~ p2(f4(c16,c14),f5(f6(X0),c20))
    | ~ p2(f4(X1,c14),f5(f6(X0),c19))
    | ~ p2(c16,c16)
    | ~ p2(c15,X1)
    | ~ p7(X0,c10) ),
    inference(instantiation,[status(thm)],[c_184]) ).

cnf(c_120763,plain,
    ( ~ p2(f4(c16,c14),f5(f6(X0),c20))
    | ~ p2(f4(c15,c14),f5(f6(X0),c19))
    | ~ p2(c16,c16)
    | ~ p2(c15,c15)
    | ~ p7(X0,c10) ),
    inference(instantiation,[status(thm)],[c_120605]) ).

cnf(c_120913,plain,
    ( ~ p2(f4(c16,c14),f5(f6(c9),c20))
    | ~ p2(f4(c15,c14),f5(f6(c9),c19))
    | ~ p2(c16,c16)
    | ~ p2(c15,c15)
    | ~ p7(c9,c10) ),
    inference(instantiation,[status(thm)],[c_120763]) ).

cnf(c_120764,plain,
    p2(c15,c15),
    inference(instantiation,[status(thm)],[c_198]) ).

cnf(c_120606,plain,
    p2(c16,c16),
    inference(instantiation,[status(thm)],[c_198]) ).

cnf(c_10,negated_conjecture,
    p2(f5(f6(c9),c20),c18),
    file('/export/starexec/sandbox/tmp/iprover_modulo_dae66f.p',c_0_98) ).

cnf(c_11,negated_conjecture,
    p2(f5(f6(c9),c19),c17),
    file('/export/starexec/sandbox/tmp/iprover_modulo_dae66f.p',c_0_99) ).

cnf(c_13,negated_conjecture,
    p2(f4(c15,c14),c17),
    file('/export/starexec/sandbox/tmp/iprover_modulo_dae66f.p',c_0_101) ).

cnf(c_14,negated_conjecture,
    p2(f4(c16,c14),c18),
    file('/export/starexec/sandbox/tmp/iprover_modulo_dae66f.p',c_0_102) ).

cnf(c_18,negated_conjecture,
    p7(c9,c10),
    file('/export/starexec/sandbox/tmp/iprover_modulo_dae66f.p',c_0_106) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_3699483,c_3698315,c_1948398,c_797594,c_797554,c_797545,c_796796,c_796749,c_796731,c_121465,c_120913,c_120764,c_120606,c_10,c_11,c_13,c_14,c_18]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN577-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 03:02:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.20/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41  % Orientation found
% 0.20/0.41  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_e3b730.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_dae66f.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_2f55e1 | grep -v "SZS"
% 0.20/0.43  
% 0.20/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------  iProver source info 
% 0.20/0.43  
% 0.20/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43  % git: non_committed_changes: true
% 0.20/0.43  % git: last_make_outside_of_git: true
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.20/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.44  % --bmc1_dump_file                      -
% 0.20/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.44  % --bmc1_ucm_extend_mode                1
% 0.20/0.44  % --bmc1_ucm_init_mode                  2
% 0.20/0.44  % --bmc1_ucm_cone_mode                  none
% 0.20/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.44  % --bmc1_ucm_relax_model                4
% 0.20/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.44  % --bmc1_ucm_layered_model              none
% 0.20/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.44  
% 0.20/0.44  % ------ AIG Options
% 0.20/0.44  
% 0.20/0.44  % --aig_mode                            false
% 0.20/0.44  
% 0.20/0.44  % ------ Instantiation Options
% 0.20/0.44  
% 0.20/0.44  % --instantiation_flag                  true
% 0.20/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44  % --inst_solver_per_active              750
% 0.20/0.44  % --inst_solver_calls_frac              0.5
% 0.20/0.44  % --inst_passive_queue_type             priority_queues
% 0.20/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44  % --inst_passive_queues_freq            [25;2]
% 0.20/0.44  % --inst_dismatching                    true
% 0.20/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.44  % --inst_prop_sim_given                 true
% 0.20/0.44  % --inst_prop_sim_new                   false
% 0.20/0.44  % --inst_orphan_elimination             true
% 0.20/0.44  % --inst_learning_loop_flag             true
% 0.20/0.44  % --inst_learning_start                 3000
% 0.20/0.44  % --inst_learning_factor                2
% 0.20/0.44  % --inst_start_prop_sim_after_learn     3
% 0.20/0.44  % --inst_sel_renew                      solver
% 0.20/0.44  % --inst_lit_activity_flag              true
% 0.20/0.44  % --inst_out_proof                      true
% 0.20/0.44  
% 0.20/0.44  % ------ Resolution Options
% 0.20/0.44  
% 0.20/0.44  % --resolution_flag                     true
% 0.20/0.44  % --res_lit_sel                         kbo_max
% 0.20/0.44  % --res_to_prop_solver                  none
% 0.20/0.44  % --res_prop_simpl_new                  false
% 0.20/0.44  % --res_prop_simpl_given                false
% 0.20/0.44  % --res_passive_queue_type              priority_queues
% 0.20/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44  % --res_passive_queues_freq             [15;5]
% 0.20/0.44  % --res_forward_subs                    full
% 0.20/0.44  % --res_backward_subs                   full
% 0.20/0.44  % --res_forward_subs_resolution         true
% 0.20/0.44  % --res_backward_subs_resolution        true
% 0.20/0.44  % --res_orphan_elimination              false
% 0.20/0.44  % --res_time_limit                      1000.
% 0.20/0.44  % --res_out_proof                       true
% 0.20/0.44  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_e3b730.s
% 0.20/0.44  % --modulo                              true
% 0.20/0.44  
% 0.20/0.44  % ------ Combination Options
% 0.20/0.44  
% 0.20/0.44  % --comb_res_mult                       1000
% 0.20/0.44  % --comb_inst_mult                      300
% 0.20/0.44  % ------ 
% 0.20/0.44  
% 0.20/0.44  % ------ Parsing...% successful
% 0.20/0.44  
% 0.20/0.44  % ------ 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 % 
% 0.20/0.44  
% 0.20/0.44  % ------ Proving...
% 0.20/0.44  % ------ Problem Properties 
% 0.20/0.44  
% 0.20/0.44  % 
% 0.20/0.44  % EPR                                   false
% 0.20/0.44  % Horn                                  true
% 0.20/0.44  % Has equality                          false
% 0.20/0.44  
% 0.20/0.44  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  % % ------ Current options:
% 0.20/0.44  
% 0.20/0.44  % ------ Input Options
% 0.20/0.44  
% 0.20/0.44  % --out_options                         all
% 0.20/0.44  % --tptp_safe_out                       true
% 0.20/0.44  % --problem_path                        ""
% 0.20/0.44  % --include_path                        ""
% 0.20/0.44  % --clausifier                          .//eprover
% 0.20/0.44  % --clausifier_options                  --tstp-format  
% 0.20/0.44  % --stdin                               false
% 0.20/0.44  % --dbg_backtrace                       false
% 0.20/0.44  % --dbg_dump_prop_clauses               false
% 0.20/0.44  % --dbg_dump_prop_clauses_file          -
% 0.20/0.44  % --dbg_out_stat                        false
% 0.20/0.44  
% 0.20/0.44  % ------ General Options
% 0.20/0.44  
% 0.20/0.44  % --fof                                 false
% 0.20/0.44  % --time_out_real                       150.
% 0.20/0.44  % --time_out_prep_mult                  0.2
% 0.20/0.44  % --time_out_virtual                    -1.
% 0.20/0.44  % --schedule                            none
% 0.20/0.44  % --ground_splitting                    input
% 0.20/0.44  % --splitting_nvd                       16
% 0.20/0.44  % --non_eq_to_eq                        false
% 0.20/0.44  % --prep_gs_sim                         true
% 0.20/0.44  % --prep_unflatten                      false
% 0.20/0.44  % --prep_res_sim                        true
% 0.20/0.44  % --prep_upred                          true
% 0.20/0.44  % --res_sim_input                       true
% 0.20/0.44  % --clause_weak_htbl                    true
% 0.20/0.44  % --gc_record_bc_elim                   false
% 0.20/0.44  % --symbol_type_check                   false
% 0.20/0.44  % --clausify_out                        false
% 0.20/0.44  % --large_theory_mode                   false
% 0.20/0.44  % --prep_sem_filter                     none
% 0.20/0.44  % --prep_sem_filter_out                 false
% 0.20/0.44  % --preprocessed_out                    false
% 0.20/0.44  % --sub_typing                          false
% 0.20/0.44  % --brand_transform                     false
% 0.20/0.44  % --pure_diseq_elim                     true
% 0.20/0.44  % --min_unsat_core                      false
% 0.20/0.44  % --pred_elim                           true
% 0.20/0.44  % --add_important_lit                   false
% 0.20/0.44  % --soft_assumptions                    false
% 0.20/0.44  % --reset_solvers                       false
% 0.20/0.44  % --bc_imp_inh                          []
% 0.20/0.44  % --conj_cone_tolerance                 1.5
% 0.20/0.44  % --prolific_symb_bound                 500
% 0.20/0.44  % --lt_threshold                        2000
% 0.20/0.44  
% 0.20/0.44  % ------ SAT Options
% 0.20/0.44  
% 0.20/0.44  % --sat_mode                            false
% 0.20/0.44  % --sat_fm_restart_options              ""
% 0.20/0.44  % --sat_gr_def                          false
% 0.20/0.44  % --sat_epr_types                       true
% 0.20/0.44  % --sat_non_cyclic_types                false
% 0.20/0.44  % --sat_finite_models                   false
% 0.20/0.44  % --sat_fm_lemmas                       false
% 0.20/0.44  % --sat_fm_prep                         false
% 0.20/0.44  % --sat_fm_uc_incr                      true
% 0.20/0.44  % --sat_out_model                       small
% 0.20/0.44  % --sat_out_clauses                     false
% 0.20/0.44  
% 0.20/0.44  % ------ QBF Options
% 0.20/0.44  
% 0.20/0.44  % --qbf_mode                            false
% 0.20/0.44  % --qbf_elim_univ                       true
% 0.20/0.44  % --qbf_sk_in                           true
% 0.20/0.44  % --qbf_pred_elim                       true
% 0.20/0.44  % --qbf_split                           32
% 0.20/0.44  
% 0.20/0.44  % ------ BMC1 Options
% 0.20/0.44  
% 0.20/0.44  % --bmc1_incremental                    false
% 0.20/0.44  % --bmc1_axioms                         reachable_all
% 0.20/0.44  % --bmc1_min_bound                      0
% 0.20/0.44  % --bmc1_max_bound                      -1
% 0.20/0.44  % --bmc1_max_bound_default              -1
% 0.20/0.44  % --bmc1_symbol_reachability            true
% 0.20/0.44  % --bmc1_property_lemmas                false
% 0.20/0.44  % --bmc1_k_induction                    false
% 0.20/0.44  % --bmc1_non_equiv_states               false
% 0.20/0.44  % --bmc1_deadlock                       false
% 0.20/0.44  % --bmc1_ucm                            false
% 0.20/0.44  % --bmc1_add_unsat_core                 none
% 0.20/0.44  % --bmc1_unsat_core_children            false
% 0.20/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.44  % --bmc1_out_stat                       full
% 0.20/0.44  % --bmc1_ground_init                    false
% 0.20/0.44  % --bmc1_pre_inst_next_state            false
% 0.20/0.44  % --bmc1_pre_inst_state                 false
% 0.20/0.44  % --bmc1_pre_inst_reach_state           false
% 0.20/0.44  % --bmc1_out_unsat_core                 false
% 0.20/0.44  % --bmc1_aig_witness_out                false
% 0.20/0.44  % --bmc1_verbose                        false
% 0.20/0.44  % --bmc1_dump_clauses_tptp              false
% 0.20/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.44  % --bmc1_dump_file                      -
% 0.20/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.44  % --bmc1_ucm_extend_mode                1
% 0.20/0.44  % --bmc1_ucm_init_mode                  2
% 0.20/0.44  % --bmc1_ucm_cone_mode                  none
% 0.20/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.44  % --bmc1_ucm_relax_model                4
% 0.20/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.44  % --bmc1_ucm_layered_model              none
% 0.20/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.44  
% 0.20/0.44  % ------ AIG Options
% 0.20/0.44  
% 0.20/0.44  % --aig_mode                            false
% 0.20/0.44  
% 0.20/0.44  % ------ Instantiation Options
% 0.20/0.44  
% 0.20/0.44  % --instantiation_flag                  true
% 0.20/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44  % --inst_solver_per_active              750
% 0.20/0.44  % --inst_solver_calls_frac              0.5
% 0.20/0.44  % --inst_passive_queue_type             priority_queues
% 0.20/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44  % --inst_passive_queues_freq            [25;2]
% 0.20/0.44  % --inst_dismatching                    true
% 0.20/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.44  % --inst_prop_sim_given                 true
% 69.01/69.22  % --inst_prop_sim_new                   false
% 69.01/69.22  % --inst_orphan_elimination             true
% 69.01/69.22  % --inst_learning_loop_flag             true
% 69.01/69.22  % --inst_learning_start                 3000
% 69.01/69.22  % --inst_learning_factor                2
% 69.01/69.22  % --inst_start_prop_sim_after_learn     3
% 69.01/69.22  % --inst_sel_renew                      solver
% 69.01/69.22  % --inst_lit_activity_flag              true
% 69.01/69.22  % --inst_out_proof                      true
% 69.01/69.22  
% 69.01/69.22  % ------ Resolution Options
% 69.01/69.22  
% 69.01/69.22  % --resolution_flag                     true
% 69.01/69.22  % --res_lit_sel                         kbo_max
% 69.01/69.22  % --res_to_prop_solver                  none
% 69.01/69.22  % --res_prop_simpl_new                  false
% 69.01/69.22  % --res_prop_simpl_given                false
% 69.01/69.22  % --res_passive_queue_type              priority_queues
% 69.01/69.22  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 69.01/69.22  % --res_passive_queues_freq             [15;5]
% 69.01/69.22  % --res_forward_subs                    full
% 69.01/69.22  % --res_backward_subs                   full
% 69.01/69.22  % --res_forward_subs_resolution         true
% 69.01/69.22  % --res_backward_subs_resolution        true
% 69.01/69.22  % --res_orphan_elimination              false
% 69.01/69.22  % --res_time_limit                      1000.
% 69.01/69.22  % --res_out_proof                       true
% 69.01/69.22  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_e3b730.s
% 69.01/69.22  % --modulo                              true
% 69.01/69.22  
% 69.01/69.22  % ------ Combination Options
% 69.01/69.22  
% 69.01/69.22  % --comb_res_mult                       1000
% 69.01/69.22  % --comb_inst_mult                      300
% 69.01/69.22  % ------ 
% 69.01/69.22  
% 69.01/69.22  
% 69.01/69.22  
% 69.01/69.22  % ------ Proving...
% 69.01/69.22  % 
% 69.01/69.22  
% 69.01/69.22  
% 69.01/69.22  % ------                             Statistics
% 69.01/69.22  
% 69.01/69.22  % ------ General
% 69.01/69.22  
% 69.01/69.22  % num_of_input_clauses:                 22
% 69.01/69.22  % num_of_input_neg_conjectures:         22
% 69.01/69.22  % num_of_splits:                        0
% 69.01/69.22  % num_of_split_atoms:                   0
% 69.01/69.22  % num_of_sem_filtered_clauses:          0
% 69.01/69.22  % num_of_subtypes:                      0
% 69.01/69.22  % monotx_restored_types:                0
% 69.01/69.22  % sat_num_of_epr_types:                 0
% 69.01/69.22  % sat_num_of_non_cyclic_types:          0
% 69.01/69.22  % sat_guarded_non_collapsed_types:      0
% 69.01/69.22  % is_epr:                               0
% 69.01/69.22  % is_horn:                              1
% 69.01/69.22  % has_eq:                               0
% 69.01/69.22  % num_pure_diseq_elim:                  0
% 69.01/69.22  % simp_replaced_by:                     0
% 69.01/69.22  % res_preprocessed:                     44
% 69.01/69.22  % prep_upred:                           0
% 69.01/69.22  % prep_unflattend:                      0
% 69.01/69.22  % pred_elim_cands:                      0
% 69.01/69.22  % pred_elim:                            0
% 69.01/69.22  % pred_elim_cl:                         0
% 69.01/69.22  % pred_elim_cycles:                     0
% 69.01/69.22  % forced_gc_time:                       0
% 69.01/69.22  % gc_basic_clause_elim:                 0
% 69.01/69.22  % parsing_time:                         0.001
% 69.01/69.22  % sem_filter_time:                      0.
% 69.01/69.22  % pred_elim_time:                       0.
% 69.01/69.22  % out_proof_time:                       0.001
% 69.01/69.22  % monotx_time:                          0.
% 69.01/69.22  % subtype_inf_time:                     0.
% 69.01/69.22  % unif_index_cands_time:                0.187
% 69.01/69.22  % unif_index_add_time:                  0.013
% 69.01/69.22  % total_time:                           68.801
% 69.01/69.22  % num_of_symbols:                       44
% 69.01/69.22  % num_of_terms:                         626096
% 69.01/69.22  
% 69.01/69.22  % ------ Propositional Solver
% 69.01/69.22  
% 69.01/69.22  % prop_solver_calls:                    15
% 69.01/69.22  % prop_fast_solver_calls:               177
% 69.01/69.22  % prop_num_of_clauses:                  2499
% 69.01/69.22  % prop_preprocess_simplified:           3519
% 69.01/69.22  % prop_fo_subsumed:                     0
% 69.01/69.22  % prop_solver_time:                     0.
% 69.01/69.22  % prop_fast_solver_time:                0.
% 69.01/69.22  % prop_unsat_core_time:                 0.
% 69.01/69.22  
% 69.01/69.22  % ------ QBF 
% 69.01/69.22  
% 69.01/69.22  % qbf_q_res:                            0
% 69.01/69.22  % qbf_num_tautologies:                  0
% 69.01/69.22  % qbf_prep_cycles:                      0
% 69.01/69.22  
% 69.01/69.22  % ------ BMC1
% 69.01/69.22  
% 69.01/69.22  % bmc1_current_bound:                   -1
% 69.01/69.22  % bmc1_last_solved_bound:               -1
% 69.01/69.22  % bmc1_unsat_core_size:                 -1
% 69.01/69.22  % bmc1_unsat_core_parents_size:         -1
% 69.01/69.22  % bmc1_merge_next_fun:                  0
% 69.01/69.22  % bmc1_unsat_core_clauses_time:         0.
% 69.01/69.22  
% 69.01/69.22  % ------ Instantiation
% 69.01/69.22  
% 69.01/69.22  % inst_num_of_clauses:                  1498
% 69.01/69.22  % inst_num_in_passive:                  330
% 69.01/69.22  % inst_num_in_active:                   1100
% 69.01/69.22  % inst_num_in_unprocessed:              24
% 69.01/69.22  % inst_num_of_loops:                    1156
% 69.01/69.23  % inst_num_of_learning_restarts:        0
% 69.01/69.23  % inst_num_moves_active_passive:        5
% 69.01/69.23  % inst_lit_activity:                    336
% 69.01/69.23  % inst_lit_activity_moves:              0
% 69.01/69.23  % inst_num_tautologies:                 42
% 69.01/69.23  % inst_num_prop_implied:                0
% 69.01/69.23  % inst_num_existing_simplified:         0
% 69.01/69.23  % inst_num_eq_res_simplified:           0
% 69.01/69.23  % inst_num_child_elim:                  0
% 69.01/69.23  % inst_num_of_dismatching_blockings:    875
% 69.01/69.23  % inst_num_of_non_proper_insts:         5608
% 69.01/69.23  % inst_num_of_duplicates:               1106
% 69.01/69.23  % inst_inst_num_from_inst_to_res:       0
% 69.01/69.23  % inst_dismatching_checking_time:       0.004
% 69.01/69.23  
% 69.01/69.23  % ------ Resolution
% 69.01/69.23  
% 69.01/69.23  % res_num_of_clauses:                   1764650
% 69.01/69.23  % res_num_in_passive:                   1767767
% 69.01/69.23  % res_num_in_active:                    3966
% 69.01/69.23  % res_num_of_loops:                     4000
% 69.01/69.23  % res_forward_subset_subsumed:          59542
% 69.01/69.23  % res_backward_subset_subsumed:         7084
% 69.01/69.23  % res_forward_subsumed:                 29
% 69.01/69.23  % res_backward_subsumed:                0
% 69.01/69.23  % res_forward_subsumption_resolution:   66
% 69.01/69.23  % res_backward_subsumption_resolution:  0
% 69.01/69.23  % res_clause_to_clause_subsumption:     113642
% 69.01/69.23  % res_orphan_elimination:               0
% 69.01/69.23  % res_tautology_del:                    571
% 69.01/69.23  % res_num_eq_res_simplified:            0
% 69.01/69.23  % res_num_sel_changes:                  0
% 69.01/69.23  % res_moves_from_active_to_pass:        0
% 69.01/69.23  
% 69.01/69.23  % Status Unsatisfiable
% 69.01/69.23  % SZS status Unsatisfiable
% 69.01/69.23  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------