TSTP Solution File: SYN560-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SYN560-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n019.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 07:29:57 EDT 2022

% Result   : Unsatisfiable 68.02s 68.20s
% Output   : CNFRefutation 68.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  152 (  51 unt;   0 def)
%            Number of atoms       :  342 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  380 ( 190   ~; 190   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :  300 (   0 sgn  84   !;   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,
    ~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
    file('<stdin>',not_p8_11) ).

fof(c_0_1,negated_conjecture,
    ! [X26,X27] :
      ( p2(X27,f3(c10))
      | p8(f6(X27,X26),f6(X27,f5(X26,f3(f7(c10))))) ),
    file('<stdin>',p2_15) ).

fof(c_0_2,negated_conjecture,
    p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
    file('<stdin>',p8_10) ).

fof(c_0_3,negated_conjecture,
    ! [X22,X23,X24,X25] :
      ( p2(f6(X25,X24),f6(X23,X22))
      | ~ p2(X24,X22)
      | ~ p2(X25,X23) ),
    file('<stdin>',p2_14) ).

fof(c_0_4,negated_conjecture,
    ! [X18,X19,X20,X21] :
      ( p2(f5(X21,X20),f5(X19,X18))
      | ~ p2(X21,X19)
      | ~ p2(X20,X18) ),
    file('<stdin>',p2_13) ).

fof(c_0_5,negated_conjecture,
    ! [X14,X15,X16,X17] :
      ( p8(X17,X16)
      | ~ p2(X14,X16)
      | ~ p8(X15,X14)
      | ~ p2(X15,X17) ),
    file('<stdin>',p8_12) ).

fof(c_0_6,negated_conjecture,
    ! [X2] : p2(f4(X2),f5(X2,f3(f7(c10)))),
    file('<stdin>',p2_4) ).

fof(c_0_7,negated_conjecture,
    ! [X11,X12,X13] :
      ( p8(X13,X12)
      | ~ p8(X13,X11)
      | ~ p8(X11,X12) ),
    file('<stdin>',p8_9) ).

fof(c_0_8,negated_conjecture,
    ! [X9,X10,X1] :
      ( p2(X10,X9)
      | ~ p2(X1,X10)
      | ~ p2(X1,X9) ),
    file('<stdin>',p2_8) ).

fof(c_0_9,negated_conjecture,
    p2(c11,f4(f5(c12,c13))),
    file('<stdin>',p2_3) ).

fof(c_0_10,negated_conjecture,
    ! [X7,X8] :
      ( p2(f4(X8),f4(X7))
      | ~ p2(X8,X7) ),
    file('<stdin>',p2_7) ).

fof(c_0_11,negated_conjecture,
    ! [X5,X6] :
      ( p2(f3(X6),f3(X5))
      | ~ p2(X6,X5) ),
    file('<stdin>',p2_6) ).

fof(c_0_12,negated_conjecture,
    ! [X3,X4] :
      ( p2(f7(X4),f7(X3))
      | ~ p2(X4,X3) ),
    file('<stdin>',p2_5) ).

fof(c_0_13,negated_conjecture,
    ~ p2(c9,f3(c10)),
    file('<stdin>',not_p2_2) ).

fof(c_0_14,negated_conjecture,
    ! [X1] : p2(X1,X1),
    file('<stdin>',p2_1) ).

fof(c_0_15,negated_conjecture,
    ~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_16,negated_conjecture,
    ! [X26,X27] :
      ( p2(X27,f3(c10))
      | p8(f6(X27,X26),f6(X27,f5(X26,f3(f7(c10))))) ),
    c_0_1 ).

fof(c_0_17,negated_conjecture,
    p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
    c_0_2 ).

fof(c_0_18,negated_conjecture,
    ! [X22,X23,X24,X25] :
      ( p2(f6(X25,X24),f6(X23,X22))
      | ~ p2(X24,X22)
      | ~ p2(X25,X23) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_19,negated_conjecture,
    ! [X18,X19,X20,X21] :
      ( p2(f5(X21,X20),f5(X19,X18))
      | ~ p2(X21,X19)
      | ~ p2(X20,X18) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_20,negated_conjecture,
    ! [X14,X15,X16,X17] :
      ( p8(X17,X16)
      | ~ p2(X14,X16)
      | ~ p8(X15,X14)
      | ~ p2(X15,X17) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_21,negated_conjecture,
    ! [X2] : p2(f4(X2),f5(X2,f3(f7(c10)))),
    c_0_6 ).

fof(c_0_22,negated_conjecture,
    ! [X11,X12,X13] :
      ( p8(X13,X12)
      | ~ p8(X13,X11)
      | ~ p8(X11,X12) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_23,negated_conjecture,
    ! [X9,X10,X1] :
      ( p2(X10,X9)
      | ~ p2(X1,X10)
      | ~ p2(X1,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_24,negated_conjecture,
    p2(c11,f4(f5(c12,c13))),
    c_0_9 ).

fof(c_0_25,negated_conjecture,
    ! [X7,X8] :
      ( p2(f4(X8),f4(X7))
      | ~ p2(X8,X7) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_26,negated_conjecture,
    ! [X5,X6] :
      ( p2(f3(X6),f3(X5))
      | ~ p2(X6,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_27,negated_conjecture,
    ! [X3,X4] :
      ( p2(f7(X4),f7(X3))
      | ~ p2(X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_28,negated_conjecture,
    ~ p2(c9,f3(c10)),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_29,negated_conjecture,
    ! [X1] : p2(X1,X1),
    c_0_14 ).

fof(c_0_30,negated_conjecture,
    ~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
    c_0_15 ).

fof(c_0_31,negated_conjecture,
    ! [X28,X29] :
      ( p2(X29,f3(c10))
      | p8(f6(X29,X28),f6(X29,f5(X28,f3(f7(c10))))) ),
    inference(variable_rename,[status(thm)],[c_0_16]) ).

fof(c_0_32,negated_conjecture,
    p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
    c_0_17 ).

fof(c_0_33,negated_conjecture,
    ! [X26,X27,X28,X29] :
      ( p2(f6(X29,X28),f6(X27,X26))
      | ~ p2(X28,X26)
      | ~ p2(X29,X27) ),
    inference(variable_rename,[status(thm)],[c_0_18]) ).

fof(c_0_34,negated_conjecture,
    ! [X22,X23,X24,X25] :
      ( p2(f5(X25,X24),f5(X23,X22))
      | ~ p2(X25,X23)
      | ~ p2(X24,X22) ),
    inference(variable_rename,[status(thm)],[c_0_19]) ).

fof(c_0_35,negated_conjecture,
    ! [X18,X19,X20,X21] :
      ( p8(X21,X20)
      | ~ p2(X18,X20)
      | ~ p8(X19,X18)
      | ~ p2(X19,X21) ),
    inference(variable_rename,[status(thm)],[c_0_20]) ).

fof(c_0_36,negated_conjecture,
    ! [X3] : p2(f4(X3),f5(X3,f3(f7(c10)))),
    inference(variable_rename,[status(thm)],[c_0_21]) ).

fof(c_0_37,negated_conjecture,
    ! [X14,X15,X16] :
      ( p8(X16,X15)
      | ~ p8(X16,X14)
      | ~ p8(X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_22]) ).

fof(c_0_38,negated_conjecture,
    ! [X11,X12,X13] :
      ( p2(X12,X11)
      | ~ p2(X13,X12)
      | ~ p2(X13,X11) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_23])])]) ).

fof(c_0_39,negated_conjecture,
    p2(c11,f4(f5(c12,c13))),
    c_0_24 ).

fof(c_0_40,negated_conjecture,
    ! [X9,X10] :
      ( p2(f4(X10),f4(X9))
      | ~ p2(X10,X9) ),
    inference(variable_rename,[status(thm)],[c_0_25]) ).

fof(c_0_41,negated_conjecture,
    ! [X7,X8] :
      ( p2(f3(X8),f3(X7))
      | ~ p2(X8,X7) ),
    inference(variable_rename,[status(thm)],[c_0_26]) ).

fof(c_0_42,negated_conjecture,
    ! [X5,X6] :
      ( p2(f7(X6),f7(X5))
      | ~ p2(X6,X5) ),
    inference(variable_rename,[status(thm)],[c_0_27]) ).

fof(c_0_43,negated_conjecture,
    ~ p2(c9,f3(c10)),
    c_0_28 ).

fof(c_0_44,negated_conjecture,
    ! [X2] : p2(X2,X2),
    inference(variable_rename,[status(thm)],[c_0_29]) ).

cnf(c_0_45,negated_conjecture,
    ~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_46,negated_conjecture,
    ( p8(f6(X1,X2),f6(X1,f5(X2,f3(f7(c10)))))
    | p2(X1,f3(c10)) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_47,negated_conjecture,
    p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_48,negated_conjecture,
    ( p2(f6(X1,X3),f6(X2,X4))
    | ~ p2(X1,X2)
    | ~ p2(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_49,negated_conjecture,
    ( p2(f5(X3,X1),f5(X4,X2))
    | ~ p2(X1,X2)
    | ~ p2(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_50,negated_conjecture,
    ( p8(X2,X4)
    | ~ p2(X1,X2)
    | ~ p8(X1,X3)
    | ~ p2(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_51,negated_conjecture,
    p2(f4(X1),f5(X1,f3(f7(c10)))),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_52,negated_conjecture,
    ( p8(X3,X2)
    | ~ p8(X1,X2)
    | ~ p8(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_53,negated_conjecture,
    ( p2(X3,X2)
    | ~ p2(X1,X2)
    | ~ p2(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_54,negated_conjecture,
    p2(c11,f4(f5(c12,c13))),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_55,negated_conjecture,
    ( p2(f4(X1),f4(X2))
    | ~ p2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_56,negated_conjecture,
    ( p2(f3(X1),f3(X2))
    | ~ p2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_57,negated_conjecture,
    ( p2(f7(X1),f7(X2))
    | ~ p2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_58,negated_conjecture,
    ~ p2(c9,f3(c10)),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_59,negated_conjecture,
    p2(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_60,negated_conjecture,
    ~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
    c_0_45,
    [final] ).

cnf(c_0_61,negated_conjecture,
    ( p8(f6(X1,X2),f6(X1,f5(X2,f3(f7(c10)))))
    | p2(X1,f3(c10)) ),
    c_0_46,
    [final] ).

cnf(c_0_62,negated_conjecture,
    p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
    c_0_47,
    [final] ).

cnf(c_0_63,negated_conjecture,
    ( p2(f6(X1,X3),f6(X2,X4))
    | ~ p2(X1,X2)
    | ~ p2(X3,X4) ),
    c_0_48,
    [final] ).

cnf(c_0_64,negated_conjecture,
    ( p2(f5(X3,X1),f5(X4,X2))
    | ~ p2(X1,X2)
    | ~ p2(X3,X4) ),
    c_0_49,
    [final] ).

cnf(c_0_65,negated_conjecture,
    ( p8(X2,X4)
    | ~ p2(X1,X2)
    | ~ p8(X1,X3)
    | ~ p2(X3,X4) ),
    c_0_50,
    [final] ).

cnf(c_0_66,negated_conjecture,
    p2(f4(X1),f5(X1,f3(f7(c10)))),
    c_0_51,
    [final] ).

cnf(c_0_67,negated_conjecture,
    ( p8(X3,X2)
    | ~ p8(X1,X2)
    | ~ p8(X3,X1) ),
    c_0_52,
    [final] ).

cnf(c_0_68,negated_conjecture,
    ( p2(X3,X2)
    | ~ p2(X1,X2)
    | ~ p2(X1,X3) ),
    c_0_53,
    [final] ).

cnf(c_0_69,negated_conjecture,
    p2(c11,f4(f5(c12,c13))),
    c_0_54,
    [final] ).

cnf(c_0_70,negated_conjecture,
    ( p2(f4(X1),f4(X2))
    | ~ p2(X1,X2) ),
    c_0_55,
    [final] ).

cnf(c_0_71,negated_conjecture,
    ( p2(f3(X1),f3(X2))
    | ~ p2(X1,X2) ),
    c_0_56,
    [final] ).

cnf(c_0_72,negated_conjecture,
    ( p2(f7(X1),f7(X2))
    | ~ p2(X1,X2) ),
    c_0_57,
    [final] ).

cnf(c_0_73,negated_conjecture,
    ~ p2(c9,f3(c10)),
    c_0_58,
    [final] ).

cnf(c_0_74,negated_conjecture,
    p2(X1,X1),
    c_0_59,
    [final] ).

% End CNF derivation

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

cnf(c_14,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_67595f.p',c_0_74) ).

cnf(c_51,negated_conjecture,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_14]) ).

cnf(c_97,negated_conjecture,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_51]) ).

cnf(c_98,negated_conjecture,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_97]) ).

cnf(c_127,negated_conjecture,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_98]) ).

cnf(c_142,negated_conjecture,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_127]) ).

cnf(c_201675,plain,
    p2(f6(c9,f4(X0)),f6(c9,f4(X0))),
    inference(instantiation,[status(thm)],[c_142]) ).

cnf(c_2993183,plain,
    p2(f6(c9,f4(f4(f5(c12,c14)))),f6(c9,f4(f4(f5(c12,c14))))),
    inference(instantiation,[status(thm)],[c_201675]) ).

cnf(c_3,negated_conjecture,
    ( ~ p8(X0,X1)
    | p8(X2,X3)
    | ~ p2(X1,X3)
    | ~ p2(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_67595f.p',c_0_65) ).

cnf(c_29,negated_conjecture,
    ( ~ p8(X0,X1)
    | p8(X2,X3)
    | ~ p2(X1,X3)
    | ~ p2(X0,X2) ),
    inference(copy,[status(esa)],[c_3]) ).

cnf(c_86,negated_conjecture,
    ( ~ p8(X0,X1)
    | p8(X2,X3)
    | ~ p2(X1,X3)
    | ~ p2(X0,X2) ),
    inference(copy,[status(esa)],[c_29]) ).

cnf(c_109,negated_conjecture,
    ( ~ p8(X0,X1)
    | p8(X2,X3)
    | ~ p2(X1,X3)
    | ~ p2(X0,X2) ),
    inference(copy,[status(esa)],[c_86]) ).

cnf(c_116,negated_conjecture,
    ( ~ p8(X0,X1)
    | p8(X2,X3)
    | ~ p2(X1,X3)
    | ~ p2(X0,X2) ),
    inference(copy,[status(esa)],[c_109]) ).

cnf(c_131,negated_conjecture,
    ( ~ p8(X0,X1)
    | p8(X2,X3)
    | ~ p2(X1,X3)
    | ~ p2(X0,X2) ),
    inference(copy,[status(esa)],[c_116]) ).

cnf(c_200995,plain,
    ( ~ p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
    | p8(X0,X1)
    | ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),X1)
    | ~ p2(f6(c9,f4(c12)),X0) ),
    inference(instantiation,[status(thm)],[c_131]) ).

cnf(c_201031,plain,
    ( ~ p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
    | p8(f6(X0,X1),X2)
    | ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),X2)
    | ~ p2(f6(c9,f4(c12)),f6(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_200995]) ).

cnf(c_201354,plain,
    ( ~ p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
    | p8(f6(X0,X1),f6(X2,X3))
    | ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),f6(X2,X3))
    | ~ p2(f6(c9,f4(c12)),f6(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_201031]) ).

cnf(c_775793,plain,
    ( ~ p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
    | p8(f6(c9,f4(X0)),f6(X1,X2))
    | ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),f6(X1,X2))
    | ~ p2(f6(c9,f4(c12)),f6(c9,f4(X0))) ),
    inference(instantiation,[status(thm)],[c_201354]) ).

cnf(c_1591094,plain,
    ( ~ p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
    | p8(f6(c9,f4(X0)),f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p2(f6(c9,f4(c12)),f6(c9,f4(X0))) ),
    inference(instantiation,[status(thm)],[c_775793]) ).

cnf(c_1591095,plain,
    ( ~ p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
    | p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p2(f6(c9,f4(c12)),f6(c9,f4(c12))) ),
    inference(instantiation,[status(thm)],[c_1591094]) ).

cnf(c_5,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_67595f.p',c_0_68) ).

cnf(c_33,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    inference(copy,[status(esa)],[c_5]) ).

cnf(c_88,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    inference(copy,[status(esa)],[c_33]) ).

cnf(c_107,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    inference(copy,[status(esa)],[c_88]) ).

cnf(c_118,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    inference(copy,[status(esa)],[c_107]) ).

cnf(c_133,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    inference(copy,[status(esa)],[c_118]) ).

cnf(c_201012,plain,
    ( p2(f6(X0,X1),X2)
    | ~ p2(X3,f6(X0,X1))
    | ~ p2(X3,X2) ),
    inference(instantiation,[status(thm)],[c_133]) ).

cnf(c_201078,plain,
    ( ~ p2(f6(X0,X1),f6(X2,X3))
    | p2(f6(X2,X3),X4)
    | ~ p2(f6(X0,X1),X4) ),
    inference(instantiation,[status(thm)],[c_201012]) ).

cnf(c_201179,plain,
    ( ~ p2(f6(X0,X1),f6(X2,X3))
    | p2(f6(X2,X3),f6(X4,X5))
    | ~ p2(f6(X0,X1),f6(X4,X5)) ),
    inference(instantiation,[status(thm)],[c_201078]) ).

cnf(c_201359,plain,
    ( p2(f6(X0,f5(X1,f3(f7(c10)))),f6(X2,X3))
    | ~ p2(f6(X4,X5),f6(X0,f5(X1,f3(f7(c10)))))
    | ~ p2(f6(X4,X5),f6(X2,X3)) ),
    inference(instantiation,[status(thm)],[c_201179]) ).

cnf(c_776152,plain,
    ( p2(f6(c9,f5(X0,f3(f7(c10)))),f6(X1,X2))
    | ~ p2(f6(c9,f4(X0)),f6(c9,f5(X0,f3(f7(c10)))))
    | ~ p2(f6(c9,f4(X0)),f6(X1,X2)) ),
    inference(instantiation,[status(thm)],[c_201359]) ).

cnf(c_1590456,plain,
    ( p2(f6(c9,f5(X0,f3(f7(c10)))),f6(c9,f4(X0)))
    | ~ p2(f6(c9,f4(X0)),f6(c9,f5(X0,f3(f7(c10)))))
    | ~ p2(f6(c9,f4(X0)),f6(c9,f4(X0))) ),
    inference(instantiation,[status(thm)],[c_776152]) ).

cnf(c_1591093,plain,
    ( p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),f6(c9,f4(f4(f5(c12,c14)))))
    | ~ p2(f6(c9,f4(f4(f5(c12,c14)))),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
    | ~ p2(f6(c9,f4(f4(f5(c12,c14)))),f6(c9,f4(f4(f5(c12,c14))))) ),
    inference(instantiation,[status(thm)],[c_1590456]) ).

cnf(c_12,negated_conjecture,
    p2(f4(X0),f5(X0,f3(f7(c10)))),
    file('/export/starexec/sandbox/tmp/iprover_modulo_67595f.p',c_0_66) ).

cnf(c_47,negated_conjecture,
    p2(f4(X0),f5(X0,f3(f7(c10)))),
    inference(copy,[status(esa)],[c_12]) ).

cnf(c_95,negated_conjecture,
    p2(f4(X0),f5(X0,f3(f7(c10)))),
    inference(copy,[status(esa)],[c_47]) ).

cnf(c_100,negated_conjecture,
    p2(f4(X0),f5(X0,f3(f7(c10)))),
    inference(copy,[status(esa)],[c_95]) ).

cnf(c_125,negated_conjecture,
    p2(f4(X0),f5(X0,f3(f7(c10)))),
    inference(copy,[status(esa)],[c_100]) ).

cnf(c_140,negated_conjecture,
    p2(f4(X0),f5(X0,f3(f7(c10)))),
    inference(copy,[status(esa)],[c_125]) ).

cnf(c_777514,plain,
    p2(f4(f4(f5(c12,c14))),f5(f4(f5(c12,c14)),f3(f7(c10)))),
    inference(instantiation,[status(thm)],[c_140]) ).

cnf(c_1,negated_conjecture,
    ( p2(f6(X0,X1),f6(X2,X3))
    | ~ p2(X1,X3)
    | ~ p2(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_67595f.p',c_0_63) ).

cnf(c_25,negated_conjecture,
    ( p2(f6(X0,X1),f6(X2,X3))
    | ~ p2(X1,X3)
    | ~ p2(X0,X2) ),
    inference(copy,[status(esa)],[c_1]) ).

cnf(c_84,negated_conjecture,
    ( p2(f6(X0,X1),f6(X2,X3))
    | ~ p2(X1,X3)
    | ~ p2(X0,X2) ),
    inference(copy,[status(esa)],[c_25]) ).

cnf(c_111,negated_conjecture,
    ( p2(f6(X0,X1),f6(X2,X3))
    | ~ p2(X1,X3)
    | ~ p2(X0,X2) ),
    inference(copy,[status(esa)],[c_84]) ).

cnf(c_114,negated_conjecture,
    ( p2(f6(X0,X1),f6(X2,X3))
    | ~ p2(X1,X3)
    | ~ p2(X0,X2) ),
    inference(copy,[status(esa)],[c_111]) ).

cnf(c_129,negated_conjecture,
    ( p2(f6(X0,X1),f6(X2,X3))
    | ~ p2(X1,X3)
    | ~ p2(X0,X2) ),
    inference(copy,[status(esa)],[c_114]) ).

cnf(c_201415,plain,
    ( p2(f6(c9,f4(X0)),f6(X1,X2))
    | ~ p2(f4(X0),X2)
    | ~ p2(c9,X1) ),
    inference(instantiation,[status(thm)],[c_129]) ).

cnf(c_201945,plain,
    ( p2(f6(c9,f4(X0)),f6(c9,X1))
    | ~ p2(f4(X0),X1)
    | ~ p2(c9,c9) ),
    inference(instantiation,[status(thm)],[c_201415]) ).

cnf(c_775746,plain,
    ( p2(f6(c9,f4(X0)),f6(c9,f5(X0,f3(f7(c10)))))
    | ~ p2(f4(X0),f5(X0,f3(f7(c10))))
    | ~ p2(c9,c9) ),
    inference(instantiation,[status(thm)],[c_201945]) ).

cnf(c_776153,plain,
    ( p2(f6(c9,f4(f4(f5(c12,c14)))),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
    | ~ p2(f4(f4(f5(c12,c14))),f5(f4(f5(c12,c14)),f3(f7(c10))))
    | ~ p2(c9,c9) ),
    inference(instantiation,[status(thm)],[c_775746]) ).

cnf(c_200989,plain,
    ( p2(f6(c9,f4(c12)),f6(X0,X1))
    | ~ p2(f4(c12),X1)
    | ~ p2(c9,X0) ),
    inference(instantiation,[status(thm)],[c_129]) ).

cnf(c_201022,plain,
    ( p2(f6(c9,f4(c12)),f6(c9,X0))
    | ~ p2(f4(c12),X0)
    | ~ p2(c9,c9) ),
    inference(instantiation,[status(thm)],[c_200989]) ).

cnf(c_201036,plain,
    ( p2(f6(c9,f4(c12)),f6(c9,f4(X0)))
    | ~ p2(f4(c12),f4(X0))
    | ~ p2(c9,c9) ),
    inference(instantiation,[status(thm)],[c_201022]) ).

cnf(c_201038,plain,
    ( p2(f6(c9,f4(c12)),f6(c9,f4(c12)))
    | ~ p2(f4(c12),f4(c12))
    | ~ p2(c9,c9) ),
    inference(instantiation,[status(thm)],[c_201036]) ).

cnf(c_200987,plain,
    p2(c9,c9),
    inference(instantiation,[status(thm)],[c_142]) ).

cnf(c_0,negated_conjecture,
    ( p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10)))))
    | p2(X0,f3(c10)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_67595f.p',c_0_61) ).

cnf(c_23,negated_conjecture,
    ( p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10)))))
    | p2(X0,f3(c10)) ),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_83,negated_conjecture,
    ( p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10)))))
    | p2(X0,f3(c10)) ),
    inference(copy,[status(esa)],[c_23]) ).

cnf(c_112,negated_conjecture,
    ( p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10)))))
    | p2(X0,f3(c10)) ),
    inference(copy,[status(esa)],[c_83]) ).

cnf(c_113,negated_conjecture,
    ( p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10)))))
    | p2(X0,f3(c10)) ),
    inference(copy,[status(esa)],[c_112]) ).

cnf(c_128,negated_conjecture,
    ( p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10)))))
    | p2(X0,f3(c10)) ),
    inference(copy,[status(esa)],[c_113]) ).

cnf(c_200984,plain,
    ( p8(f6(c9,f4(f5(c12,c14))),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
    | p2(c9,f3(c10)) ),
    inference(instantiation,[status(thm)],[c_128]) ).

cnf(c_4,negated_conjecture,
    ( ~ p8(X0,X1)
    | ~ p8(X1,X2)
    | p8(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_67595f.p',c_0_67) ).

cnf(c_31,negated_conjecture,
    ( ~ p8(X0,X1)
    | ~ p8(X1,X2)
    | p8(X0,X2) ),
    inference(copy,[status(esa)],[c_4]) ).

cnf(c_87,negated_conjecture,
    ( ~ p8(X0,X1)
    | ~ p8(X1,X2)
    | p8(X0,X2) ),
    inference(copy,[status(esa)],[c_31]) ).

cnf(c_108,negated_conjecture,
    ( ~ p8(X0,X1)
    | ~ p8(X1,X2)
    | p8(X0,X2) ),
    inference(copy,[status(esa)],[c_87]) ).

cnf(c_117,negated_conjecture,
    ( ~ p8(X0,X1)
    | ~ p8(X1,X2)
    | p8(X0,X2) ),
    inference(copy,[status(esa)],[c_108]) ).

cnf(c_132,negated_conjecture,
    ( ~ p8(X0,X1)
    | ~ p8(X1,X2)
    | p8(X0,X2) ),
    inference(copy,[status(esa)],[c_117]) ).

cnf(c_200975,plain,
    ( ~ p8(f6(c9,f4(f5(c12,c14))),X0)
    | ~ p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14))))
    | p8(f6(c9,f4(c12)),X0) ),
    inference(instantiation,[status(thm)],[c_132]) ).

cnf(c_200983,plain,
    ( ~ p8(f6(c9,f4(f5(c12,c14))),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
    | p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
    | ~ p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))) ),
    inference(instantiation,[status(thm)],[c_200975]) ).

cnf(c_6,negated_conjecture,
    ( p2(f4(X0),f4(X1))
    | ~ p2(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_67595f.p',c_0_70) ).

cnf(c_19,plain,
    ( p2(f4(c12),f4(c12))
    | ~ p2(c12,c12) ),
    inference(instantiation,[status(thm)],[c_6]) ).

cnf(c_9,negated_conjecture,
    ~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
    file('/export/starexec/sandbox/tmp/iprover_modulo_67595f.p',c_0_60) ).

cnf(c_10,negated_conjecture,
    ~ p2(c9,f3(c10)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_67595f.p',c_0_73) ).

cnf(c_11,negated_conjecture,
    p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
    file('/export/starexec/sandbox/tmp/iprover_modulo_67595f.p',c_0_62) ).

cnf(c_15,plain,
    p2(c12,c12),
    inference(instantiation,[status(thm)],[c_14]) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_2993183,c_1591095,c_1591093,c_777514,c_776153,c_201038,c_200987,c_200984,c_200983,c_19,c_9,c_10,c_11,c_15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN560-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 15:57:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.12/0.39  % Orienting using strategy Equiv(ClausalAll)
% 0.12/0.39  % Orientation found
% 0.12/0.39  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_889b6f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_67595f.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_b69be0 | grep -v "SZS"
% 0.19/0.41  
% 0.19/0.41  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.41  
% 0.19/0.41  % 
% 0.19/0.41  % ------  iProver source info 
% 0.19/0.41  
% 0.19/0.41  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.41  % git: non_committed_changes: true
% 0.19/0.41  % git: last_make_outside_of_git: true
% 0.19/0.41  
% 0.19/0.41  % 
% 0.19/0.41  % ------ Input Options
% 0.19/0.41  
% 0.19/0.41  % --out_options                         all
% 0.19/0.41  % --tptp_safe_out                       true
% 0.19/0.41  % --problem_path                        ""
% 0.19/0.41  % --include_path                        ""
% 0.19/0.41  % --clausifier                          .//eprover
% 0.19/0.41  % --clausifier_options                  --tstp-format  
% 0.19/0.41  % --stdin                               false
% 0.19/0.41  % --dbg_backtrace                       false
% 0.19/0.41  % --dbg_dump_prop_clauses               false
% 0.19/0.41  % --dbg_dump_prop_clauses_file          -
% 0.19/0.41  % --dbg_out_stat                        false
% 0.19/0.41  
% 0.19/0.41  % ------ General Options
% 0.19/0.41  
% 0.19/0.41  % --fof                                 false
% 0.19/0.41  % --time_out_real                       150.
% 0.19/0.41  % --time_out_prep_mult                  0.2
% 0.19/0.41  % --time_out_virtual                    -1.
% 0.19/0.41  % --schedule                            none
% 0.19/0.41  % --ground_splitting                    input
% 0.19/0.41  % --splitting_nvd                       16
% 0.19/0.41  % --non_eq_to_eq                        false
% 0.19/0.41  % --prep_gs_sim                         true
% 0.19/0.41  % --prep_unflatten                      false
% 0.19/0.41  % --prep_res_sim                        true
% 0.19/0.41  % --prep_upred                          true
% 0.19/0.41  % --res_sim_input                       true
% 0.19/0.41  % --clause_weak_htbl                    true
% 0.19/0.41  % --gc_record_bc_elim                   false
% 0.19/0.41  % --symbol_type_check                   false
% 0.19/0.41  % --clausify_out                        false
% 0.19/0.41  % --large_theory_mode                   false
% 0.19/0.41  % --prep_sem_filter                     none
% 0.19/0.41  % --prep_sem_filter_out                 false
% 0.19/0.41  % --preprocessed_out                    false
% 0.19/0.41  % --sub_typing                          false
% 0.19/0.41  % --brand_transform                     false
% 0.19/0.41  % --pure_diseq_elim                     true
% 0.19/0.41  % --min_unsat_core                      false
% 0.19/0.41  % --pred_elim                           true
% 0.19/0.41  % --add_important_lit                   false
% 0.19/0.41  % --soft_assumptions                    false
% 0.19/0.41  % --reset_solvers                       false
% 0.19/0.41  % --bc_imp_inh                          []
% 0.19/0.41  % --conj_cone_tolerance                 1.5
% 0.19/0.41  % --prolific_symb_bound                 500
% 0.19/0.41  % --lt_threshold                        2000
% 0.19/0.41  
% 0.19/0.41  % ------ SAT Options
% 0.19/0.41  
% 0.19/0.41  % --sat_mode                            false
% 0.19/0.41  % --sat_fm_restart_options              ""
% 0.19/0.41  % --sat_gr_def                          false
% 0.19/0.41  % --sat_epr_types                       true
% 0.19/0.41  % --sat_non_cyclic_types                false
% 0.19/0.41  % --sat_finite_models                   false
% 0.19/0.41  % --sat_fm_lemmas                       false
% 0.19/0.41  % --sat_fm_prep                         false
% 0.19/0.41  % --sat_fm_uc_incr                      true
% 0.19/0.41  % --sat_out_model                       small
% 0.19/0.41  % --sat_out_clauses                     false
% 0.19/0.41  
% 0.19/0.41  % ------ QBF Options
% 0.19/0.41  
% 0.19/0.41  % --qbf_mode                            false
% 0.19/0.41  % --qbf_elim_univ                       true
% 0.19/0.41  % --qbf_sk_in                           true
% 0.19/0.41  % --qbf_pred_elim                       true
% 0.19/0.41  % --qbf_split                           32
% 0.19/0.41  
% 0.19/0.41  % ------ BMC1 Options
% 0.19/0.41  
% 0.19/0.41  % --bmc1_incremental                    false
% 0.19/0.41  % --bmc1_axioms                         reachable_all
% 0.19/0.41  % --bmc1_min_bound                      0
% 0.19/0.41  % --bmc1_max_bound                      -1
% 0.19/0.41  % --bmc1_max_bound_default              -1
% 0.19/0.41  % --bmc1_symbol_reachability            true
% 0.19/0.41  % --bmc1_property_lemmas                false
% 0.19/0.41  % --bmc1_k_induction                    false
% 0.19/0.41  % --bmc1_non_equiv_states               false
% 0.19/0.41  % --bmc1_deadlock                       false
% 0.19/0.41  % --bmc1_ucm                            false
% 0.19/0.41  % --bmc1_add_unsat_core                 none
% 0.19/0.41  % --bmc1_unsat_core_children            false
% 0.19/0.41  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.41  % --bmc1_out_stat                       full
% 0.19/0.41  % --bmc1_ground_init                    false
% 0.19/0.41  % --bmc1_pre_inst_next_state            false
% 0.19/0.41  % --bmc1_pre_inst_state                 false
% 0.19/0.41  % --bmc1_pre_inst_reach_state           false
% 0.19/0.41  % --bmc1_out_unsat_core                 false
% 0.19/0.41  % --bmc1_aig_witness_out                false
% 0.19/0.41  % --bmc1_verbose                        false
% 0.19/0.41  % --bmc1_dump_clauses_tptp              false
% 0.19/0.41  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.41  % --bmc1_dump_file                      -
% 0.19/0.41  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.41  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.41  % --bmc1_ucm_extend_mode                1
% 0.19/0.41  % --bmc1_ucm_init_mode                  2
% 0.19/0.41  % --bmc1_ucm_cone_mode                  none
% 0.19/0.41  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.41  % --bmc1_ucm_relax_model                4
% 0.19/0.41  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.41  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.41  % --bmc1_ucm_layered_model              none
% 0.19/0.41  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.41  
% 0.19/0.41  % ------ AIG Options
% 0.19/0.41  
% 0.19/0.41  % --aig_mode                            false
% 0.19/0.41  
% 0.19/0.41  % ------ Instantiation Options
% 0.19/0.41  
% 0.19/0.41  % --instantiation_flag                  true
% 0.19/0.41  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.41  % --inst_solver_per_active              750
% 0.19/0.41  % --inst_solver_calls_frac              0.5
% 0.19/0.41  % --inst_passive_queue_type             priority_queues
% 0.19/0.41  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.41  % --inst_passive_queues_freq            [25;2]
% 0.19/0.41  % --inst_dismatching                    true
% 0.19/0.41  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.41  % --inst_prop_sim_given                 true
% 0.19/0.41  % --inst_prop_sim_new                   false
% 0.19/0.41  % --inst_orphan_elimination             true
% 0.19/0.41  % --inst_learning_loop_flag             true
% 0.19/0.41  % --inst_learning_start                 3000
% 0.19/0.41  % --inst_learning_factor                2
% 0.19/0.41  % --inst_start_prop_sim_after_learn     3
% 0.19/0.41  % --inst_sel_renew                      solver
% 0.19/0.41  % --inst_lit_activity_flag              true
% 0.19/0.41  % --inst_out_proof                      true
% 0.19/0.41  
% 0.19/0.41  % ------ Resolution Options
% 0.19/0.41  
% 0.19/0.41  % --resolution_flag                     true
% 0.19/0.41  % --res_lit_sel                         kbo_max
% 0.19/0.41  % --res_to_prop_solver                  none
% 0.19/0.41  % --res_prop_simpl_new                  false
% 0.19/0.41  % --res_prop_simpl_given                false
% 0.19/0.41  % --res_passive_queue_type              priority_queues
% 0.19/0.41  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.41  % --res_passive_queues_freq             [15;5]
% 0.19/0.41  % --res_forward_subs                    full
% 0.19/0.41  % --res_backward_subs                   full
% 0.19/0.41  % --res_forward_subs_resolution         true
% 0.19/0.41  % --res_backward_subs_resolution        true
% 0.19/0.41  % --res_orphan_elimination              false
% 0.19/0.41  % --res_time_limit                      1000.
% 0.19/0.41  % --res_out_proof                       true
% 0.19/0.41  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_889b6f.s
% 0.19/0.41  % --modulo                              true
% 0.19/0.41  
% 0.19/0.41  % ------ Combination Options
% 0.19/0.41  
% 0.19/0.41  % --comb_res_mult                       1000
% 0.19/0.41  % --comb_inst_mult                      300
% 0.19/0.41  % ------ 
% 0.19/0.41  
% 0.19/0.41  % ------ Parsing...% successful
% 0.19/0.41  
% 0.19/0.41  % ------ 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 % 
% 0.19/0.41  
% 0.19/0.41  % ------ Proving...
% 0.19/0.41  % ------ Problem Properties 
% 0.19/0.41  
% 0.19/0.41  % 
% 0.19/0.41  % EPR                                   false
% 0.19/0.41  % Horn                                  false
% 0.19/0.41  % Has equality                          false
% 0.19/0.41  
% 0.19/0.41  % % ------ Input Options Time Limit: Unbounded
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  % % ------ Current options:
% 0.19/0.41  
% 0.19/0.41  % ------ Input Options
% 0.19/0.41  
% 0.19/0.41  % --out_options                         all
% 0.19/0.41  % --tptp_safe_out                       true
% 0.19/0.41  % --problem_path                        ""
% 0.19/0.41  % --include_path                        ""
% 0.19/0.41  % --clausifier                          .//eprover
% 0.19/0.41  % --clausifier_options                  --tstp-format  
% 0.19/0.41  % --stdin                               false
% 0.19/0.41  % --dbg_backtrace                       false
% 0.19/0.41  % --dbg_dump_prop_clauses               false
% 0.19/0.41  % --dbg_dump_prop_clauses_file          -
% 0.19/0.41  % --dbg_out_stat                        false
% 0.19/0.41  
% 0.19/0.41  % ------ General Options
% 0.19/0.41  
% 0.19/0.41  % --fof                                 false
% 0.19/0.41  % --time_out_real                       150.
% 0.19/0.41  % --time_out_prep_mult                  0.2
% 0.19/0.41  % --time_out_virtual                    -1.
% 0.19/0.41  % --schedule                            none
% 0.19/0.41  % --ground_splitting                    input
% 0.19/0.41  % --splitting_nvd                       16
% 0.19/0.41  % --non_eq_to_eq                        false
% 0.19/0.41  % --prep_gs_sim                         true
% 0.19/0.41  % --prep_unflatten                      false
% 0.19/0.41  % --prep_res_sim                        true
% 0.19/0.41  % --prep_upred                          true
% 0.19/0.41  % --res_sim_input                       true
% 0.19/0.41  % --clause_weak_htbl                    true
% 0.19/0.41  % --gc_record_bc_elim                   false
% 0.19/0.41  % --symbol_type_check                   false
% 0.19/0.41  % --clausify_out                        false
% 0.19/0.41  % --large_theory_mode                   false
% 0.19/0.41  % --prep_sem_filter                     none
% 0.19/0.41  % --prep_sem_filter_out                 false
% 0.19/0.41  % --preprocessed_out                    false
% 0.19/0.41  % --sub_typing                          false
% 0.19/0.41  % --brand_transform                     false
% 0.19/0.41  % --pure_diseq_elim                     true
% 0.19/0.41  % --min_unsat_core                      false
% 0.19/0.41  % --pred_elim                           true
% 0.19/0.41  % --add_important_lit                   false
% 0.19/0.41  % --soft_assumptions                    false
% 0.19/0.41  % --reset_solvers                       false
% 0.19/0.41  % --bc_imp_inh                          []
% 0.19/0.41  % --conj_cone_tolerance                 1.5
% 0.19/0.41  % --prolific_symb_bound                 500
% 0.19/0.41  % --lt_threshold                        2000
% 0.19/0.41  
% 0.19/0.41  % ------ SAT Options
% 0.19/0.41  
% 0.19/0.41  % --sat_mode                            false
% 0.19/0.41  % --sat_fm_restart_options              ""
% 0.19/0.41  % --sat_gr_def                          false
% 0.19/0.41  % --sat_epr_types                       true
% 0.19/0.41  % --sat_non_cyclic_types                false
% 0.19/0.41  % --sat_finite_models                   false
% 0.19/0.41  % --sat_fm_lemmas                       false
% 0.19/0.41  % --sat_fm_prep                         false
% 0.19/0.41  % --sat_fm_uc_incr                      true
% 0.19/0.41  % --sat_out_model                       small
% 0.19/0.41  % --sat_out_clauses                     false
% 0.19/0.41  
% 0.19/0.41  % ------ QBF Options
% 0.19/0.41  
% 0.19/0.41  % --qbf_mode                            false
% 0.19/0.41  % --qbf_elim_univ                       true
% 0.19/0.41  % --qbf_sk_in                           true
% 0.19/0.41  % --qbf_pred_elim                       true
% 0.19/0.41  % --qbf_split                           32
% 0.19/0.41  
% 0.19/0.41  % ------ BMC1 Options
% 0.19/0.41  
% 0.19/0.41  % --bmc1_incremental                    false
% 0.19/0.41  % --bmc1_axioms                         reachable_all
% 0.19/0.41  % --bmc1_min_bound                      0
% 0.19/0.41  % --bmc1_max_bound                      -1
% 0.19/0.41  % --bmc1_max_bound_default              -1
% 0.19/0.41  % --bmc1_symbol_reachability            true
% 0.19/0.41  % --bmc1_property_lemmas                false
% 0.19/0.41  % --bmc1_k_induction                    false
% 0.19/0.41  % --bmc1_non_equiv_states               false
% 0.19/0.41  % --bmc1_deadlock                       false
% 0.19/0.41  % --bmc1_ucm                            false
% 0.19/0.41  % --bmc1_add_unsat_core                 none
% 0.19/0.41  % --bmc1_unsat_core_children            false
% 0.19/0.41  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.41  % --bmc1_out_stat                       full
% 0.19/0.41  % --bmc1_ground_init                    false
% 0.19/0.41  % --bmc1_pre_inst_next_state            false
% 0.19/0.41  % --bmc1_pre_inst_state                 false
% 0.19/0.41  % --bmc1_pre_inst_reach_state           false
% 0.19/0.41  % --bmc1_out_unsat_core                 false
% 0.19/0.41  % --bmc1_aig_witness_out                false
% 0.19/0.41  % --bmc1_verbose                        false
% 0.19/0.41  % --bmc1_dump_clauses_tptp              false
% 0.19/0.41  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.41  % --bmc1_dump_file                      -
% 0.19/0.41  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.41  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.41  % --bmc1_ucm_extend_mode                1
% 0.19/0.41  % --bmc1_ucm_init_mode                  2
% 0.19/0.41  % --bmc1_ucm_cone_mode                  none
% 0.19/0.41  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.41  % --bmc1_ucm_relax_model                4
% 0.19/0.41  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.41  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.41  % --bmc1_ucm_layered_model              none
% 0.19/0.41  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.41  
% 0.19/0.41  % ------ AIG Options
% 0.19/0.41  
% 0.19/0.41  % --aig_mode                            false
% 0.19/0.41  
% 0.19/0.41  % ------ Instantiation Options
% 0.19/0.41  
% 0.19/0.41  % --instantiation_flag                  true
% 0.19/0.41  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.41  % --inst_solver_per_active              750
% 0.19/0.41  % --inst_solver_calls_frac              0.5
% 0.19/0.41  % --inst_passive_queue_type             priority_queues
% 0.19/0.41  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.41  % --inst_passive_queues_freq            [25;2]
% 0.19/0.41  % --inst_dismatching                    true
% 0.19/0.41  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.41  % --inst_prop_sim_given                 true
% 67.93/68.19  % --inst_prop_sim_new                   false
% 67.93/68.19  % --inst_orphan_elimination             true
% 67.93/68.19  % --inst_learning_loop_flag             true
% 67.93/68.19  % --inst_learning_start                 3000
% 67.93/68.19  % --inst_learning_factor                2
% 67.93/68.19  % --inst_start_prop_sim_after_learn     3
% 67.93/68.19  % --inst_sel_renew                      solver
% 67.93/68.19  % --inst_lit_activity_flag              true
% 67.93/68.19  % --inst_out_proof                      true
% 67.93/68.19  
% 67.93/68.19  % ------ Resolution Options
% 67.93/68.19  
% 67.93/68.19  % --resolution_flag                     true
% 67.93/68.19  % --res_lit_sel                         kbo_max
% 67.93/68.19  % --res_to_prop_solver                  none
% 67.93/68.19  % --res_prop_simpl_new                  false
% 67.93/68.19  % --res_prop_simpl_given                false
% 67.93/68.19  % --res_passive_queue_type              priority_queues
% 67.93/68.19  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 67.93/68.19  % --res_passive_queues_freq             [15;5]
% 67.93/68.19  % --res_forward_subs                    full
% 67.93/68.19  % --res_backward_subs                   full
% 67.93/68.19  % --res_forward_subs_resolution         true
% 67.93/68.19  % --res_backward_subs_resolution        true
% 67.93/68.19  % --res_orphan_elimination              false
% 67.93/68.19  % --res_time_limit                      1000.
% 67.93/68.19  % --res_out_proof                       true
% 67.93/68.19  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_889b6f.s
% 67.93/68.19  % --modulo                              true
% 67.93/68.19  
% 67.93/68.19  % ------ Combination Options
% 67.93/68.19  
% 67.93/68.19  % --comb_res_mult                       1000
% 67.93/68.19  % --comb_inst_mult                      300
% 67.93/68.19  % ------ 
% 67.93/68.19  
% 67.93/68.19  
% 67.93/68.19  
% 67.93/68.19  % ------ Proving...
% 67.93/68.19  % 
% 67.93/68.19  
% 67.93/68.19  
% 67.93/68.19  % ------                             Statistics
% 67.93/68.19  
% 67.93/68.19  % ------ General
% 67.93/68.19  
% 67.93/68.19  % num_of_input_clauses:                 15
% 67.93/68.19  % num_of_input_neg_conjectures:         15
% 67.93/68.19  % num_of_splits:                        0
% 67.93/68.19  % num_of_split_atoms:                   0
% 67.93/68.19  % num_of_sem_filtered_clauses:          0
% 67.93/68.19  % num_of_subtypes:                      0
% 67.93/68.19  % monotx_restored_types:                0
% 67.93/68.19  % sat_num_of_epr_types:                 0
% 67.93/68.19  % sat_num_of_non_cyclic_types:          0
% 67.93/68.19  % sat_guarded_non_collapsed_types:      0
% 67.93/68.19  % is_epr:                               0
% 67.93/68.19  % is_horn:                              0
% 67.93/68.19  % has_eq:                               0
% 67.93/68.19  % num_pure_diseq_elim:                  0
% 67.93/68.19  % simp_replaced_by:                     0
% 67.93/68.19  % res_preprocessed:                     30
% 67.93/68.19  % prep_upred:                           0
% 67.93/68.19  % prep_unflattend:                      0
% 67.93/68.19  % pred_elim_cands:                      0
% 67.93/68.19  % pred_elim:                            0
% 67.93/68.19  % pred_elim_cl:                         0
% 67.93/68.19  % pred_elim_cycles:                     0
% 67.93/68.19  % forced_gc_time:                       0
% 67.93/68.19  % gc_basic_clause_elim:                 0
% 67.93/68.19  % parsing_time:                         0.001
% 67.93/68.19  % sem_filter_time:                      0.
% 67.93/68.19  % pred_elim_time:                       0.
% 67.93/68.19  % out_proof_time:                       0.002
% 67.93/68.19  % monotx_time:                          0.
% 67.93/68.19  % subtype_inf_time:                     0.
% 67.93/68.19  % unif_index_cands_time:                0.45
% 67.93/68.19  % unif_index_add_time:                  0.013
% 67.93/68.19  % total_time:                           67.794
% 67.93/68.19  % num_of_symbols:                       38
% 67.93/68.19  % num_of_terms:                         1395275
% 67.93/68.19  
% 67.93/68.19  % ------ Propositional Solver
% 67.93/68.19  
% 67.93/68.19  % prop_solver_calls:                    15
% 67.93/68.19  % prop_fast_solver_calls:               90
% 67.93/68.19  % prop_num_of_clauses:                  2717
% 67.93/68.19  % prop_preprocess_simplified:           4464
% 67.93/68.19  % prop_fo_subsumed:                     0
% 67.93/68.19  % prop_solver_time:                     0.001
% 67.93/68.19  % prop_fast_solver_time:                0.
% 67.93/68.19  % prop_unsat_core_time:                 0.
% 67.93/68.19  
% 67.93/68.19  % ------ QBF 
% 67.93/68.19  
% 67.93/68.19  % qbf_q_res:                            0
% 67.93/68.19  % qbf_num_tautologies:                  0
% 67.93/68.19  % qbf_prep_cycles:                      0
% 67.93/68.19  
% 67.93/68.19  % ------ BMC1
% 67.93/68.19  
% 67.93/68.19  % bmc1_current_bound:                   -1
% 67.93/68.19  % bmc1_last_solved_bound:               -1
% 67.93/68.19  % bmc1_unsat_core_size:                 -1
% 67.93/68.19  % bmc1_unsat_core_parents_size:         -1
% 67.93/68.19  % bmc1_merge_next_fun:                  0
% 67.93/68.19  % bmc1_unsat_core_clauses_time:         0.
% 67.93/68.19  
% 67.93/68.19  % ------ Instantiation
% 67.93/68.19  
% 67.93/68.19  % inst_num_of_clauses:                  2067
% 67.93/68.19  % inst_num_in_passive:                  826
% 67.93/68.19  % inst_num_in_active:                   929
% 67.93/68.19  % inst_num_in_unprocessed:              223
% 67.93/68.19  % inst_num_of_loops:                    1128
% 68.02/68.20  % inst_num_of_learning_restarts:        0
% 68.02/68.20  % inst_num_moves_active_passive:        106
% 68.02/68.20  % inst_lit_activity:                    160
% 68.02/68.20  % inst_lit_activity_moves:              0
% 68.02/68.20  % inst_num_tautologies:                 87
% 68.02/68.20  % inst_num_prop_implied:                0
% 68.02/68.20  % inst_num_existing_simplified:         0
% 68.02/68.20  % inst_num_eq_res_simplified:           0
% 68.02/68.20  % inst_num_child_elim:                  0
% 68.02/68.20  % inst_num_of_dismatching_blockings:    2670
% 68.02/68.20  % inst_num_of_non_proper_insts:         6582
% 68.02/68.20  % inst_num_of_duplicates:               2939
% 68.02/68.20  % inst_inst_num_from_inst_to_res:       0
% 68.02/68.20  % inst_dismatching_checking_time:       0.006
% 68.02/68.20  
% 68.02/68.20  % ------ Resolution
% 68.02/68.20  
% 68.02/68.20  % res_num_of_clauses:                   1426337
% 68.02/68.20  % res_num_in_passive:                   1422549
% 68.02/68.20  % res_num_in_active:                    3893
% 68.02/68.20  % res_num_of_loops:                     4000
% 68.02/68.20  % res_forward_subset_subsumed:          54245
% 68.02/68.20  % res_backward_subset_subsumed:         105
% 68.02/68.20  % res_forward_subsumed:                 106
% 68.02/68.20  % res_backward_subsumed:                1
% 68.02/68.20  % res_forward_subsumption_resolution:   0
% 68.02/68.20  % res_backward_subsumption_resolution:  0
% 68.02/68.20  % res_clause_to_clause_subsumption:     50107
% 68.02/68.20  % res_orphan_elimination:               0
% 68.02/68.20  % res_tautology_del:                    361
% 68.02/68.20  % res_num_eq_res_simplified:            0
% 68.02/68.20  % res_num_sel_changes:                  0
% 68.02/68.20  % res_moves_from_active_to_pass:        0
% 68.02/68.20  
% 68.02/68.20  % Status Unsatisfiable
% 68.02/68.20  % SZS status Unsatisfiable
% 68.02/68.20  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------