TSTP Solution File: SYN554-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SYN554-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n029.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 07:29:54 EDT 2022

% Result   : Unsatisfiable 0.45s 0.65s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  126 (  49 unt;   0 def)
%            Number of atoms       :  284 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  308 ( 150   ~; 158   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :  235 (   6 sgn  51   !;   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,
    ! [X13,X14,X15,X16] :
      ( p2(f3(X16,X15),f3(X14,X13))
      | ~ p2(X16,X14)
      | ~ p2(X15,X13) ),
    file('<stdin>',p2_9) ).

fof(c_0_1,negated_conjecture,
    ! [X7,X8] :
      ( p4(f3(c5,X8),f3(c5,X7))
      | ~ p4(X8,X7) ),
    file('<stdin>',p4_7) ).

fof(c_0_2,negated_conjecture,
    ! [X9,X10,X11,X12] :
      ( p4(X9,X12)
      | ~ p2(X10,X12)
      | ~ p4(X11,X10)
      | ~ p2(X11,X9) ),
    file('<stdin>',p4_8) ).

fof(c_0_3,negated_conjecture,
    ! [X5,X6,X1] :
      ( p2(X6,X5)
      | ~ p2(X1,X5)
      | ~ p2(X1,X6) ),
    file('<stdin>',p2_6) ).

fof(c_0_4,negated_conjecture,
    p2(f3(c5,c6),f3(c5,c7)),
    file('<stdin>',p2_4) ).

fof(c_0_5,negated_conjecture,
    ! [X3,X4] :
      ( p2(X4,X3)
      | p4(X4,X3)
      | p4(X3,X4) ),
    file('<stdin>',p2_5) ).

fof(c_0_6,negated_conjecture,
    ! [X2] : ~ p4(X2,X2),
    file('<stdin>',not_p4_2) ).

fof(c_0_7,negated_conjecture,
    ~ p2(c6,c7),
    file('<stdin>',not_p2_3) ).

fof(c_0_8,negated_conjecture,
    ! [X1] : p2(X1,X1),
    file('<stdin>',p2_1) ).

fof(c_0_9,negated_conjecture,
    ! [X13,X14,X15,X16] :
      ( p2(f3(X16,X15),f3(X14,X13))
      | ~ p2(X16,X14)
      | ~ p2(X15,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_10,negated_conjecture,
    ! [X7,X8] :
      ( p4(f3(c5,X8),f3(c5,X7))
      | ~ p4(X8,X7) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_11,negated_conjecture,
    ! [X9,X10,X11,X12] :
      ( p4(X9,X12)
      | ~ p2(X10,X12)
      | ~ p4(X11,X10)
      | ~ p2(X11,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_12,negated_conjecture,
    ! [X5,X6,X1] :
      ( p2(X6,X5)
      | ~ p2(X1,X5)
      | ~ p2(X1,X6) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_13,negated_conjecture,
    p2(f3(c5,c6),f3(c5,c7)),
    c_0_4 ).

fof(c_0_14,negated_conjecture,
    ! [X3,X4] :
      ( p2(X4,X3)
      | p4(X4,X3)
      | p4(X3,X4) ),
    c_0_5 ).

fof(c_0_15,negated_conjecture,
    ! [X2] : ~ p4(X2,X2),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_16,negated_conjecture,
    ~ p2(c6,c7),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_17,negated_conjecture,
    ! [X1] : p2(X1,X1),
    c_0_8 ).

fof(c_0_18,negated_conjecture,
    ! [X17,X18,X19,X20] :
      ( p2(f3(X20,X19),f3(X18,X17))
      | ~ p2(X20,X18)
      | ~ p2(X19,X17) ),
    inference(variable_rename,[status(thm)],[c_0_9]) ).

fof(c_0_19,negated_conjecture,
    ! [X9,X10] :
      ( p4(f3(c5,X10),f3(c5,X9))
      | ~ p4(X10,X9) ),
    inference(variable_rename,[status(thm)],[c_0_10]) ).

fof(c_0_20,negated_conjecture,
    ! [X13,X14,X15,X16] :
      ( p4(X13,X16)
      | ~ p2(X14,X16)
      | ~ p4(X15,X14)
      | ~ p2(X15,X13) ),
    inference(variable_rename,[status(thm)],[c_0_11]) ).

fof(c_0_21,negated_conjecture,
    ! [X7,X8,X9] :
      ( p2(X8,X7)
      | ~ p2(X9,X7)
      | ~ p2(X9,X8) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_12])])]) ).

fof(c_0_22,negated_conjecture,
    p2(f3(c5,c6),f3(c5,c7)),
    c_0_13 ).

fof(c_0_23,negated_conjecture,
    ! [X5,X6] :
      ( p2(X6,X5)
      | p4(X6,X5)
      | p4(X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_14]) ).

fof(c_0_24,negated_conjecture,
    ! [X3] : ~ p4(X3,X3),
    inference(variable_rename,[status(thm)],[c_0_15]) ).

fof(c_0_25,negated_conjecture,
    ~ p2(c6,c7),
    c_0_16 ).

fof(c_0_26,negated_conjecture,
    ! [X2] : p2(X2,X2),
    inference(variable_rename,[status(thm)],[c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    ( p2(f3(X3,X1),f3(X4,X2))
    | ~ p2(X1,X2)
    | ~ p2(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_28,negated_conjecture,
    ( p4(f3(c5,X1),f3(c5,X2))
    | ~ p4(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_29,negated_conjecture,
    ( p4(X2,X4)
    | ~ p2(X1,X2)
    | ~ p4(X1,X3)
    | ~ p2(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30,negated_conjecture,
    ( p2(X2,X3)
    | ~ p2(X1,X2)
    | ~ p2(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,negated_conjecture,
    p2(f3(c5,c6),f3(c5,c7)),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_32,negated_conjecture,
    ( p4(X1,X2)
    | p4(X2,X1)
    | p2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,negated_conjecture,
    ~ p4(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_34,negated_conjecture,
    ~ p2(c6,c7),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_35,negated_conjecture,
    p2(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_36,negated_conjecture,
    ( p2(f3(X3,X1),f3(X4,X2))
    | ~ p2(X1,X2)
    | ~ p2(X3,X4) ),
    c_0_27,
    [final] ).

cnf(c_0_37,negated_conjecture,
    ( p4(f3(c5,X1),f3(c5,X2))
    | ~ p4(X1,X2) ),
    c_0_28,
    [final] ).

cnf(c_0_38,negated_conjecture,
    ( p4(X2,X4)
    | ~ p2(X1,X2)
    | ~ p4(X1,X3)
    | ~ p2(X3,X4) ),
    c_0_29,
    [final] ).

cnf(c_0_39,negated_conjecture,
    ( p2(X2,X3)
    | ~ p2(X1,X2)
    | ~ p2(X1,X3) ),
    c_0_30,
    [final] ).

cnf(c_0_40,negated_conjecture,
    p2(f3(c5,c6),f3(c5,c7)),
    c_0_31,
    [final] ).

cnf(c_0_41,negated_conjecture,
    ( p4(X1,X2)
    | p4(X2,X1)
    | p2(X2,X1) ),
    c_0_32,
    [final] ).

cnf(c_0_42,negated_conjecture,
    ~ p4(X1,X1),
    c_0_33,
    [final] ).

cnf(c_0_43,negated_conjecture,
    ~ p2(c6,c7),
    c_0_34,
    [final] ).

cnf(c_0_44,negated_conjecture,
    p2(X1,X1),
    c_0_35,
    [final] ).

% End CNF derivation

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

cnf(c_2,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | ~ p4(X2,X0)
    | p4(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_c2067e.p',c_0_38) ).

cnf(c_16,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | ~ p4(X2,X0)
    | p4(X3,X1) ),
    inference(copy,[status(esa)],[c_2]) ).

cnf(c_50,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | ~ p4(X2,X0)
    | p4(X3,X1) ),
    inference(copy,[status(esa)],[c_16]) ).

cnf(c_63,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | ~ p4(X2,X0)
    | p4(X3,X1) ),
    inference(copy,[status(esa)],[c_50]) ).

cnf(c_68,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | ~ p4(X2,X0)
    | p4(X3,X1) ),
    inference(copy,[status(esa)],[c_63]) ).

cnf(c_88,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | ~ p4(X2,X0)
    | p4(X3,X1) ),
    inference(copy,[status(esa)],[c_68]) ).

cnf(c_1,negated_conjecture,
    ( p4(f3(c5,X0),f3(c5,X1))
    | ~ p4(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_c2067e.p',c_0_37) ).

cnf(c_14,negated_conjecture,
    ( p4(f3(c5,X0),f3(c5,X1))
    | ~ p4(X0,X1) ),
    inference(copy,[status(esa)],[c_1]) ).

cnf(c_49,negated_conjecture,
    ( p4(f3(c5,X0),f3(c5,X1))
    | ~ p4(X0,X1) ),
    inference(copy,[status(esa)],[c_14]) ).

cnf(c_64,negated_conjecture,
    ( p4(f3(c5,X0),f3(c5,X1))
    | ~ p4(X0,X1) ),
    inference(copy,[status(esa)],[c_49]) ).

cnf(c_67,negated_conjecture,
    ( p4(f3(c5,X0),f3(c5,X1))
    | ~ p4(X0,X1) ),
    inference(copy,[status(esa)],[c_64]) ).

cnf(c_86,negated_conjecture,
    ( p4(f3(c5,X0),f3(c5,X1))
    | ~ p4(X0,X1) ),
    inference(copy,[status(esa)],[c_67]) ).

cnf(c_154,plain,
    ( ~ p2(f3(c5,X0),X1)
    | ~ p2(f3(c5,X2),X3)
    | p4(X3,X1)
    | ~ p4(X2,X0) ),
    inference(resolution,[status(thm)],[c_88,c_86]) ).

cnf(c_155,plain,
    ( ~ p2(f3(c5,X0),X1)
    | ~ p2(f3(c5,X2),X3)
    | p4(X3,X1)
    | ~ p4(X2,X0) ),
    inference(rewriting,[status(thm)],[c_154]) ).

cnf(c_4,negated_conjecture,
    ( p2(X0,X1)
    | p4(X0,X1)
    | p4(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_c2067e.p',c_0_41) ).

cnf(c_20,negated_conjecture,
    ( p2(X0,X1)
    | p4(X0,X1)
    | p4(X1,X0) ),
    inference(copy,[status(esa)],[c_4]) ).

cnf(c_52,negated_conjecture,
    ( p2(X0,X1)
    | p4(X0,X1)
    | p4(X1,X0) ),
    inference(copy,[status(esa)],[c_20]) ).

cnf(c_61,negated_conjecture,
    ( p2(X0,X1)
    | p4(X0,X1)
    | p4(X1,X0) ),
    inference(copy,[status(esa)],[c_52]) ).

cnf(c_70,negated_conjecture,
    ( p2(X0,X1)
    | p4(X0,X1)
    | p4(X1,X0) ),
    inference(copy,[status(esa)],[c_61]) ).

cnf(c_92,plain,
    ( p2(X0,X1)
    | p4(X0,X1)
    | p4(X1,X0) ),
    inference(copy,[status(esa)],[c_70]) ).

cnf(c_240,plain,
    ( ~ p2(f3(c5,X0),X1)
    | ~ p2(f3(c5,X2),X3)
    | p2(X2,X0)
    | p4(X3,X1)
    | p4(X0,X2) ),
    inference(resolution,[status(thm)],[c_155,c_92]) ).

cnf(c_241,plain,
    ( ~ p2(f3(c5,X0),X1)
    | ~ p2(f3(c5,X2),X3)
    | p2(X2,X0)
    | p4(X3,X1)
    | p4(X0,X2) ),
    inference(rewriting,[status(thm)],[c_240]) ).

cnf(c_7,negated_conjecture,
    p2(f3(c5,c6),f3(c5,c7)),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_c2067e.p',c_0_40) ).

cnf(c_26,negated_conjecture,
    p2(f3(c5,c6),f3(c5,c7)),
    inference(copy,[status(esa)],[c_7]) ).

cnf(c_55,negated_conjecture,
    p2(f3(c5,c6),f3(c5,c7)),
    inference(copy,[status(esa)],[c_26]) ).

cnf(c_58,negated_conjecture,
    p2(f3(c5,c6),f3(c5,c7)),
    inference(copy,[status(esa)],[c_55]) ).

cnf(c_73,negated_conjecture,
    p2(f3(c5,c6),f3(c5,c7)),
    inference(copy,[status(esa)],[c_58]) ).

cnf(c_98,plain,
    p2(f3(c5,c6),f3(c5,c7)),
    inference(copy,[status(esa)],[c_73]) ).

cnf(c_442,plain,
    ( ~ p2(f3(c5,X0),X1)
    | p2(c6,X0)
    | p4(f3(c5,c7),X1)
    | p4(X0,c6) ),
    inference(resolution,[status(thm)],[c_241,c_98]) ).

cnf(c_443,plain,
    ( ~ p2(f3(c5,X0),X1)
    | p2(c6,X0)
    | p4(f3(c5,c7),X1)
    | p4(X0,c6) ),
    inference(rewriting,[status(thm)],[c_442]) ).

cnf(c_8,negated_conjecture,
    p2(X0,X0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_c2067e.p',c_0_44) ).

cnf(c_28,negated_conjecture,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_8]) ).

cnf(c_56,negated_conjecture,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_28]) ).

cnf(c_57,negated_conjecture,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_56]) ).

cnf(c_74,negated_conjecture,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_57]) ).

cnf(c_100,plain,
    p2(X0,X0),
    inference(copy,[status(esa)],[c_74]) ).

cnf(c_1616,plain,
    ( p2(c6,X0)
    | p4(f3(c5,c7),f3(c5,X0))
    | p4(X0,c6) ),
    inference(resolution,[status(thm)],[c_443,c_100]) ).

cnf(c_1617,plain,
    ( p2(c6,X0)
    | p4(f3(c5,c7),f3(c5,X0))
    | p4(X0,c6) ),
    inference(rewriting,[status(thm)],[c_1616]) ).

cnf(c_5,negated_conjecture,
    ~ p4(X0,X0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_c2067e.p',c_0_42) ).

cnf(c_22,negated_conjecture,
    ~ p4(X0,X0),
    inference(copy,[status(esa)],[c_5]) ).

cnf(c_53,negated_conjecture,
    ~ p4(X0,X0),
    inference(copy,[status(esa)],[c_22]) ).

cnf(c_60,negated_conjecture,
    ~ p4(X0,X0),
    inference(copy,[status(esa)],[c_53]) ).

cnf(c_71,negated_conjecture,
    ~ p4(X0,X0),
    inference(copy,[status(esa)],[c_60]) ).

cnf(c_94,negated_conjecture,
    ~ p4(X0,X0),
    inference(copy,[status(esa)],[c_71]) ).

cnf(c_6170,plain,
    ( p2(c6,c7)
    | p4(c7,c6) ),
    inference(resolution,[status(thm)],[c_1617,c_94]) ).

cnf(c_6171,plain,
    ( p2(c6,c7)
    | p4(c7,c6) ),
    inference(rewriting,[status(thm)],[c_6170]) ).

cnf(c_6,negated_conjecture,
    ~ p2(c6,c7),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_c2067e.p',c_0_43) ).

cnf(c_24,negated_conjecture,
    ~ p2(c6,c7),
    inference(copy,[status(esa)],[c_6]) ).

cnf(c_54,negated_conjecture,
    ~ p2(c6,c7),
    inference(copy,[status(esa)],[c_24]) ).

cnf(c_59,negated_conjecture,
    ~ p2(c6,c7),
    inference(copy,[status(esa)],[c_54]) ).

cnf(c_72,negated_conjecture,
    ~ p2(c6,c7),
    inference(copy,[status(esa)],[c_59]) ).

cnf(c_96,plain,
    ~ p2(c6,c7),
    inference(copy,[status(esa)],[c_72]) ).

cnf(c_6234,plain,
    p4(c7,c6),
    inference(forward_subsumption_resolution,[status(thm)],[c_6171,c_96]) ).

cnf(c_6235,plain,
    p4(c7,c6),
    inference(rewriting,[status(thm)],[c_6234]) ).

cnf(c_6241,plain,
    ( ~ p2(f3(c5,c6),X0)
    | ~ p2(f3(c5,c7),X1)
    | p4(X1,X0) ),
    inference(resolution,[status(thm)],[c_6235,c_155]) ).

cnf(c_6244,plain,
    ( ~ p2(f3(c5,c6),X0)
    | ~ p2(f3(c5,c7),X1)
    | p4(X1,X0) ),
    inference(rewriting,[status(thm)],[c_6241]) ).

cnf(c_3,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_c2067e.p',c_0_39) ).

cnf(c_18,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X2,X1) ),
    inference(copy,[status(esa)],[c_3]) ).

cnf(c_51,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X2,X1) ),
    inference(copy,[status(esa)],[c_18]) ).

cnf(c_62,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X2,X1) ),
    inference(copy,[status(esa)],[c_51]) ).

cnf(c_69,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X2,X1) ),
    inference(copy,[status(esa)],[c_62]) ).

cnf(c_90,plain,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X2,X1) ),
    inference(copy,[status(esa)],[c_69]) ).

cnf(c_134,plain,
    ( ~ p2(f3(c5,c6),X0)
    | p2(f3(c5,c7),X0) ),
    inference(resolution,[status(thm)],[c_90,c_98]) ).

cnf(c_135,plain,
    ( ~ p2(f3(c5,c6),X0)
    | p2(f3(c5,c7),X0) ),
    inference(rewriting,[status(thm)],[c_134]) ).

cnf(c_6557,plain,
    ( ~ p2(f3(c5,c6),X0)
    | ~ p2(f3(c5,c6),X1)
    | p4(X1,X0) ),
    inference(resolution,[status(thm)],[c_6244,c_135]) ).

cnf(c_6558,plain,
    ( ~ p2(f3(c5,c6),X0)
    | ~ p2(f3(c5,c6),X1)
    | p4(X1,X0) ),
    inference(rewriting,[status(thm)],[c_6557]) ).

cnf(c_0,negated_conjecture,
    ( p2(f3(X0,X1),f3(X2,X3))
    | ~ p2(X0,X2)
    | ~ p2(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_c2067e.p',c_0_36) ).

cnf(c_12,negated_conjecture,
    ( p2(f3(X0,X1),f3(X2,X3))
    | ~ p2(X0,X2)
    | ~ p2(X1,X3) ),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_48,negated_conjecture,
    ( p2(f3(X0,X1),f3(X2,X3))
    | ~ p2(X0,X2)
    | ~ p2(X1,X3) ),
    inference(copy,[status(esa)],[c_12]) ).

cnf(c_65,negated_conjecture,
    ( p2(f3(X0,X1),f3(X2,X3))
    | ~ p2(X0,X2)
    | ~ p2(X1,X3) ),
    inference(copy,[status(esa)],[c_48]) ).

cnf(c_66,negated_conjecture,
    ( p2(f3(X0,X1),f3(X2,X3))
    | ~ p2(X0,X2)
    | ~ p2(X1,X3) ),
    inference(copy,[status(esa)],[c_65]) ).

cnf(c_84,negated_conjecture,
    ( p2(f3(X0,X1),f3(X2,X3))
    | ~ p2(X0,X2)
    | ~ p2(X1,X3) ),
    inference(copy,[status(esa)],[c_66]) ).

cnf(c_6614,plain,
    ( ~ p2(f3(c5,c6),X0)
    | ~ p2(c5,X1)
    | ~ p2(c6,X2)
    | p4(f3(X1,X2),X0) ),
    inference(resolution,[status(thm)],[c_6558,c_84]) ).

cnf(c_6615,plain,
    ( ~ p2(f3(c5,c6),X0)
    | ~ p2(c5,X1)
    | ~ p2(c6,X2)
    | p4(f3(X1,X2),X0) ),
    inference(rewriting,[status(thm)],[c_6614]) ).

cnf(c_6797,plain,
    ( ~ p2(f3(c5,c6),f3(X0,X1))
    | ~ p2(c5,X0)
    | ~ p2(c6,X1) ),
    inference(resolution,[status(thm)],[c_6615,c_94]) ).

cnf(c_6798,plain,
    ( ~ p2(f3(c5,c6),f3(X0,X1))
    | ~ p2(c5,X0)
    | ~ p2(c6,X1) ),
    inference(rewriting,[status(thm)],[c_6797]) ).

cnf(c_6802,plain,
    ( ~ p2(c5,X0)
    | ~ p2(c6,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6798,c_84]) ).

cnf(c_6803,plain,
    ( ~ p2(c5,X0)
    | ~ p2(c6,X1) ),
    inference(rewriting,[status(thm)],[c_6802]) ).

cnf(c_6810,plain,
    ~ p2(c5,X0),
    inference(resolution,[status(thm)],[c_6803,c_100]) ).

cnf(c_6811,plain,
    ~ p2(c5,X0),
    inference(rewriting,[status(thm)],[c_6810]) ).

cnf(c_7018,plain,
    $false,
    inference(resolution,[status(thm)],[c_6811,c_100]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN554-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n029.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 : Mon Jul 11 20:41:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.13/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.13/0.40  % Orientation found
% 0.13/0.40  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_b543cf.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_c2067e.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_2231ce | 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
% 0.20/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.43  % --bmc1_dump_file                      -
% 0.20/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.43  % --bmc1_ucm_extend_mode                1
% 0.20/0.43  % --bmc1_ucm_init_mode                  2
% 0.20/0.43  % --bmc1_ucm_cone_mode                  none
% 0.20/0.43  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.43  % --bmc1_ucm_relax_model                4
% 0.20/0.43  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.43  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.43  % --bmc1_ucm_layered_model              none
% 0.20/0.43  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.43  
% 0.20/0.43  % ------ AIG Options
% 0.20/0.43  
% 0.20/0.43  % --aig_mode                            false
% 0.20/0.43  
% 0.20/0.43  % ------ Instantiation Options
% 0.20/0.43  
% 0.20/0.43  % --instantiation_flag                  true
% 0.20/0.43  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43  % --inst_solver_per_active              750
% 0.20/0.43  % --inst_solver_calls_frac              0.5
% 0.20/0.43  % --inst_passive_queue_type             priority_queues
% 0.20/0.43  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43  % --inst_passive_queues_freq            [25;2]
% 0.20/0.43  % --inst_dismatching                    true
% 0.20/0.43  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.43  % --inst_prop_sim_given                 true
% 0.20/0.43  % --inst_prop_sim_new                   false
% 0.20/0.43  % --inst_orphan_elimination             true
% 0.20/0.43  % --inst_learning_loop_flag             true
% 0.20/0.43  % --inst_learning_start                 3000
% 0.20/0.43  % --inst_learning_factor                2
% 0.20/0.43  % --inst_start_prop_sim_after_learn     3
% 0.20/0.43  % --inst_sel_renew                      solver
% 0.20/0.43  % --inst_lit_activity_flag              true
% 0.20/0.43  % --inst_out_proof                      true
% 0.20/0.43  
% 0.20/0.43  % ------ Resolution Options
% 0.20/0.43  
% 0.20/0.43  % --resolution_flag                     true
% 0.20/0.43  % --res_lit_sel                         kbo_max
% 0.20/0.43  % --res_to_prop_solver                  none
% 0.20/0.43  % --res_prop_simpl_new                  false
% 0.20/0.43  % --res_prop_simpl_given                false
% 0.20/0.43  % --res_passive_queue_type              priority_queues
% 0.20/0.43  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.43  % --res_passive_queues_freq             [15;5]
% 0.20/0.43  % --res_forward_subs                    full
% 0.20/0.43  % --res_backward_subs                   full
% 0.20/0.43  % --res_forward_subs_resolution         true
% 0.20/0.43  % --res_backward_subs_resolution        true
% 0.20/0.43  % --res_orphan_elimination              false
% 0.20/0.43  % --res_time_limit                      1000.
% 0.20/0.43  % --res_out_proof                       true
% 0.20/0.43  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_b543cf.s
% 0.20/0.43  % --modulo                              true
% 0.20/0.43  
% 0.20/0.43  % ------ Combination Options
% 0.20/0.43  
% 0.20/0.43  % --comb_res_mult                       1000
% 0.20/0.43  % --comb_inst_mult                      300
% 0.20/0.43  % ------ 
% 0.20/0.43  
% 0.20/0.43  % ------ Parsing...% successful
% 0.20/0.43  
% 0.20/0.43  % ------ 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 % 
% 0.20/0.43  
% 0.20/0.43  % ------ Proving...
% 0.20/0.43  % ------ Problem Properties 
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % EPR                                   false
% 0.20/0.43  % Horn                                  false
% 0.20/0.43  % Has equality                          false
% 0.20/0.43  
% 0.20/0.43  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  % % ------ Current options:
% 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
% 0.20/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.43  % --bmc1_dump_file                      -
% 0.20/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.43  % --bmc1_ucm_extend_mode                1
% 0.20/0.43  % --bmc1_ucm_init_mode                  2
% 0.20/0.43  % --bmc1_ucm_cone_mode                  none
% 0.20/0.43  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.43  % --bmc1_ucm_relax_model                4
% 0.20/0.43  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.43  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.43  % --bmc1_ucm_layered_model              none
% 0.20/0.43  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.43  
% 0.20/0.43  % ------ AIG Options
% 0.20/0.43  
% 0.20/0.43  % --aig_mode                            false
% 0.20/0.43  
% 0.20/0.43  % ------ Instantiation Options
% 0.20/0.43  
% 0.20/0.43  % --instantiation_flag                  true
% 0.20/0.43  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43  % --inst_solver_per_active              750
% 0.20/0.43  % --inst_solver_calls_frac              0.5
% 0.20/0.43  % --inst_passive_queue_type             priority_queues
% 0.20/0.43  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43  % --inst_passive_queues_freq            [25;2]
% 0.20/0.43  % --inst_dismatching                    true
% 0.20/0.43  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.43  % --inst_prop_sim_given                 true
% 0.45/0.65  % --inst_prop_sim_new                   false
% 0.45/0.65  % --inst_orphan_elimination             true
% 0.45/0.65  % --inst_learning_loop_flag             true
% 0.45/0.65  % --inst_learning_start                 3000
% 0.45/0.65  % --inst_learning_factor                2
% 0.45/0.65  % --inst_start_prop_sim_after_learn     3
% 0.45/0.65  % --inst_sel_renew                      solver
% 0.45/0.65  % --inst_lit_activity_flag              true
% 0.45/0.65  % --inst_out_proof                      true
% 0.45/0.65  
% 0.45/0.65  % ------ Resolution Options
% 0.45/0.65  
% 0.45/0.65  % --resolution_flag                     true
% 0.45/0.65  % --res_lit_sel                         kbo_max
% 0.45/0.65  % --res_to_prop_solver                  none
% 0.45/0.65  % --res_prop_simpl_new                  false
% 0.45/0.65  % --res_prop_simpl_given                false
% 0.45/0.65  % --res_passive_queue_type              priority_queues
% 0.45/0.65  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.45/0.65  % --res_passive_queues_freq             [15;5]
% 0.45/0.65  % --res_forward_subs                    full
% 0.45/0.65  % --res_backward_subs                   full
% 0.45/0.65  % --res_forward_subs_resolution         true
% 0.45/0.65  % --res_backward_subs_resolution        true
% 0.45/0.65  % --res_orphan_elimination              false
% 0.45/0.65  % --res_time_limit                      1000.
% 0.45/0.65  % --res_out_proof                       true
% 0.45/0.65  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_b543cf.s
% 0.45/0.65  % --modulo                              true
% 0.45/0.65  
% 0.45/0.65  % ------ Combination Options
% 0.45/0.65  
% 0.45/0.65  % --comb_res_mult                       1000
% 0.45/0.65  % --comb_inst_mult                      300
% 0.45/0.65  % ------ 
% 0.45/0.65  
% 0.45/0.65  
% 0.45/0.65  
% 0.45/0.65  % ------ Proving...
% 0.45/0.65  % 
% 0.45/0.65  
% 0.45/0.65  
% 0.45/0.65  %  Resolution empty clause
% 0.45/0.65  
% 0.45/0.65  % ------                             Statistics
% 0.45/0.65  
% 0.45/0.65  % ------ General
% 0.45/0.65  
% 0.45/0.65  % num_of_input_clauses:                 9
% 0.45/0.65  % num_of_input_neg_conjectures:         9
% 0.45/0.65  % num_of_splits:                        0
% 0.45/0.65  % num_of_split_atoms:                   0
% 0.45/0.65  % num_of_sem_filtered_clauses:          0
% 0.45/0.65  % num_of_subtypes:                      0
% 0.45/0.65  % monotx_restored_types:                0
% 0.45/0.65  % sat_num_of_epr_types:                 0
% 0.45/0.65  % sat_num_of_non_cyclic_types:          0
% 0.45/0.65  % sat_guarded_non_collapsed_types:      0
% 0.45/0.65  % is_epr:                               0
% 0.45/0.65  % is_horn:                              0
% 0.45/0.65  % has_eq:                               0
% 0.45/0.65  % num_pure_diseq_elim:                  0
% 0.45/0.65  % simp_replaced_by:                     0
% 0.45/0.65  % res_preprocessed:                     18
% 0.45/0.65  % prep_upred:                           0
% 0.45/0.65  % prep_unflattend:                      0
% 0.45/0.65  % pred_elim_cands:                      0
% 0.45/0.65  % pred_elim:                            0
% 0.45/0.65  % pred_elim_cl:                         0
% 0.45/0.65  % pred_elim_cycles:                     0
% 0.45/0.65  % forced_gc_time:                       0
% 0.45/0.65  % gc_basic_clause_elim:                 0
% 0.45/0.65  % parsing_time:                         0.
% 0.45/0.65  % sem_filter_time:                      0.
% 0.45/0.65  % pred_elim_time:                       0.
% 0.45/0.65  % out_proof_time:                       0.001
% 0.45/0.65  % monotx_time:                          0.
% 0.45/0.65  % subtype_inf_time:                     0.
% 0.45/0.65  % unif_index_cands_time:                0.
% 0.45/0.65  % unif_index_add_time:                  0.
% 0.45/0.65  % total_time:                           0.244
% 0.45/0.65  % num_of_symbols:                       31
% 0.45/0.65  % num_of_terms:                         4250
% 0.45/0.65  
% 0.45/0.65  % ------ Propositional Solver
% 0.45/0.65  
% 0.45/0.65  % prop_solver_calls:                    1
% 0.45/0.65  % prop_fast_solver_calls:               57
% 0.45/0.65  % prop_num_of_clauses:                  12
% 0.45/0.65  % prop_preprocess_simplified:           148
% 0.45/0.65  % prop_fo_subsumed:                     0
% 0.45/0.65  % prop_solver_time:                     0.
% 0.45/0.65  % prop_fast_solver_time:                0.
% 0.45/0.65  % prop_unsat_core_time:                 0.
% 0.45/0.65  
% 0.45/0.65  % ------ QBF 
% 0.45/0.65  
% 0.45/0.65  % qbf_q_res:                            0
% 0.45/0.65  % qbf_num_tautologies:                  0
% 0.45/0.65  % qbf_prep_cycles:                      0
% 0.45/0.65  
% 0.45/0.65  % ------ BMC1
% 0.45/0.65  
% 0.45/0.65  % bmc1_current_bound:                   -1
% 0.45/0.65  % bmc1_last_solved_bound:               -1
% 0.45/0.65  % bmc1_unsat_core_size:                 -1
% 0.45/0.65  % bmc1_unsat_core_parents_size:         -1
% 0.45/0.65  % bmc1_merge_next_fun:                  0
% 0.45/0.65  % bmc1_unsat_core_clauses_time:         0.
% 0.45/0.65  
% 0.45/0.65  % ------ Instantiation
% 0.45/0.65  
% 0.45/0.65  % inst_num_of_clauses:                  9
% 0.45/0.65  % inst_num_in_passive:                  0
% 0.45/0.65  % inst_num_in_active:                   0
% 0.45/0.65  % inst_num_in_unprocessed:              9
% 0.45/0.65  % inst_num_of_loops:                    0
% 0.45/0.65  % inst_num_of_learning_restarts:        0
% 0.45/0.65  % inst_num_moves_active_passive:        0
% 0.45/0.65  % inst_lit_activity:                    0
% 0.45/0.65  % inst_lit_activity_moves:              0
% 0.45/0.65  % inst_num_tautologies:                 0
% 0.45/0.65  % inst_num_prop_implied:                0
% 0.45/0.65  % inst_num_existing_simplified:         0
% 0.45/0.65  % inst_num_eq_res_simplified:           0
% 0.45/0.65  % inst_num_child_elim:                  0
% 0.45/0.65  % inst_num_of_dismatching_blockings:    0
% 0.45/0.65  % inst_num_of_non_proper_insts:         0
% 0.45/0.65  % inst_num_of_duplicates:               0
% 0.45/0.65  % inst_inst_num_from_inst_to_res:       0
% 0.45/0.65  % inst_dismatching_checking_time:       0.
% 0.45/0.65  
% 0.45/0.65  % ------ Resolution
% 0.45/0.65  
% 0.45/0.65  % res_num_of_clauses:                   2113
% 0.45/0.65  % res_num_in_passive:                   2001
% 0.45/0.65  % res_num_in_active:                    171
% 0.45/0.65  % res_num_of_loops:                     236
% 0.45/0.65  % res_forward_subset_subsumed:          132
% 0.45/0.65  % res_backward_subset_subsumed:         71
% 0.45/0.65  % res_forward_subsumed:                 15
% 0.45/0.65  % res_backward_subsumed:                32
% 0.45/0.65  % res_forward_subsumption_resolution:   3
% 0.45/0.65  % res_backward_subsumption_resolution:  6
% 0.45/0.65  % res_clause_to_clause_subsumption:     8308
% 0.45/0.65  % res_orphan_elimination:               0
% 0.45/0.65  % res_tautology_del:                    9
% 0.45/0.65  % res_num_eq_res_simplified:            0
% 0.45/0.65  % res_num_sel_changes:                  0
% 0.45/0.65  % res_moves_from_active_to_pass:        0
% 0.45/0.65  
% 0.45/0.65  % Status Unsatisfiable
% 0.45/0.65  % SZS status Unsatisfiable
% 0.45/0.65  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------