TSTP Solution File: COL121-2 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : COL121-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n017.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 : Fri Jul 15 00:29:19 EDT 2022

% Result   : Unsatisfiable 3.27s 3.47s
% Output   : CNFRefutation 3.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  105 (  19 unt;   0 def)
%            Number of atoms       :  259 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  320 ( 166   ~; 154   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-4 aty)
%            Number of variables   :  229 (   0 sgn  63   !;   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
fof(c_0_0,axiom,
    ! [X7,X8,X9,X1,X5] :
      ( ~ c_Comb_Odiamond(X1,X5)
      | ~ c_in(c_Pair(X9,X7,X5,X5),X1,tc_prod(X5,X5))
      | ~ c_in(c_Pair(X9,X8,X5,X5),c_Transitive__Closure_Ortrancl(X1,X5),tc_prod(X5,X5))
      | c_in(c_Pair(X7,c_Comb_Odiamond__strip__lemmaE__1(X1,X8,X7,X5),X5,X5),c_Transitive__Closure_Ortrancl(X1,X5),tc_prod(X5,X5)) ),
    file('<stdin>',cls_Comb_Odiamond__strip__lemmaE_0) ).

fof(c_0_1,axiom,
    ! [X7,X8,X9,X1,X5] :
      ( ~ c_Comb_Odiamond(X1,X5)
      | ~ c_in(c_Pair(X9,X7,X5,X5),X1,tc_prod(X5,X5))
      | ~ c_in(c_Pair(X9,X8,X5,X5),c_Transitive__Closure_Ortrancl(X1,X5),tc_prod(X5,X5))
      | c_in(c_Pair(X8,c_Comb_Odiamond__strip__lemmaE__1(X1,X8,X7,X5),X5,X5),X1,tc_prod(X5,X5)) ),
    file('<stdin>',cls_Comb_Odiamond__strip__lemmaE_1) ).

fof(c_0_2,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ~ c_in(c_Pair(X3,X2,X5,X5),c_Transitive__Closure_Ortrancl(X1,X5),tc_prod(X5,X5))
      | ~ c_in(c_Pair(X4,X3,X5,X5),c_Transitive__Closure_Ortrancl(X1,X5),tc_prod(X5,X5))
      | c_in(c_Pair(X4,X2,X5,X5),c_Transitive__Closure_Ortrancl(X1,X5),tc_prod(X5,X5)) ),
    file('<stdin>',cls_Transitive__Closure_Ortrancl__trans_0) ).

fof(c_0_3,axiom,
    ! [X1,X6,X5] :
      ( ~ c_in(X6,X1,tc_prod(X5,X5))
      | c_in(X6,c_Transitive__Closure_Ortrancl(X1,X5),tc_prod(X5,X5)) ),
    file('<stdin>',cls_Transitive__Closure_Or__into__rtrancl_0) ).

fof(c_0_4,plain,
    ! [X7,X8,X9,X1,X5] :
      ( ~ c_Comb_Odiamond(X1,X5)
      | ~ c_in(c_Pair(X9,X7,X5,X5),X1,tc_prod(X5,X5))
      | ~ c_in(c_Pair(X9,X8,X5,X5),c_Transitive__Closure_Ortrancl(X1,X5),tc_prod(X5,X5))
      | c_in(c_Pair(X7,c_Comb_Odiamond__strip__lemmaE__1(X1,X8,X7,X5),X5,X5),c_Transitive__Closure_Ortrancl(X1,X5),tc_prod(X5,X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_5,plain,
    ! [X7,X8,X9,X1,X5] :
      ( ~ c_Comb_Odiamond(X1,X5)
      | ~ c_in(c_Pair(X9,X7,X5,X5),X1,tc_prod(X5,X5))
      | ~ c_in(c_Pair(X9,X8,X5,X5),c_Transitive__Closure_Ortrancl(X1,X5),tc_prod(X5,X5))
      | c_in(c_Pair(X8,c_Comb_Odiamond__strip__lemmaE__1(X1,X8,X7,X5),X5,X5),X1,tc_prod(X5,X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_6,plain,
    ! [X1,X2,X3,X4,X5] :
      ( ~ c_in(c_Pair(X3,X2,X5,X5),c_Transitive__Closure_Ortrancl(X1,X5),tc_prod(X5,X5))
      | ~ c_in(c_Pair(X4,X3,X5,X5),c_Transitive__Closure_Ortrancl(X1,X5),tc_prod(X5,X5))
      | c_in(c_Pair(X4,X2,X5,X5),c_Transitive__Closure_Ortrancl(X1,X5),tc_prod(X5,X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_7,plain,
    ! [X1,X6,X5] :
      ( ~ c_in(X6,X1,tc_prod(X5,X5))
      | c_in(X6,c_Transitive__Closure_Ortrancl(X1,X5),tc_prod(X5,X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_8,plain,
    ! [X10,X11,X12,X13,X14] :
      ( ~ c_Comb_Odiamond(X13,X14)
      | ~ c_in(c_Pair(X12,X10,X14,X14),X13,tc_prod(X14,X14))
      | ~ c_in(c_Pair(X12,X11,X14,X14),c_Transitive__Closure_Ortrancl(X13,X14),tc_prod(X14,X14))
      | c_in(c_Pair(X10,c_Comb_Odiamond__strip__lemmaE__1(X13,X11,X10,X14),X14,X14),c_Transitive__Closure_Ortrancl(X13,X14),tc_prod(X14,X14)) ),
    inference(variable_rename,[status(thm)],[c_0_4]) ).

fof(c_0_9,plain,
    ! [X10,X11,X12,X13,X14] :
      ( ~ c_Comb_Odiamond(X13,X14)
      | ~ c_in(c_Pair(X12,X10,X14,X14),X13,tc_prod(X14,X14))
      | ~ c_in(c_Pair(X12,X11,X14,X14),c_Transitive__Closure_Ortrancl(X13,X14),tc_prod(X14,X14))
      | c_in(c_Pair(X11,c_Comb_Odiamond__strip__lemmaE__1(X13,X11,X10,X14),X14,X14),X13,tc_prod(X14,X14)) ),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

fof(c_0_10,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ c_in(c_Pair(X8,X7,X10,X10),c_Transitive__Closure_Ortrancl(X6,X10),tc_prod(X10,X10))
      | ~ c_in(c_Pair(X9,X8,X10,X10),c_Transitive__Closure_Ortrancl(X6,X10),tc_prod(X10,X10))
      | c_in(c_Pair(X9,X7,X10,X10),c_Transitive__Closure_Ortrancl(X6,X10),tc_prod(X10,X10)) ),
    inference(variable_rename,[status(thm)],[c_0_6]) ).

fof(c_0_11,plain,
    ! [X7,X8,X9] :
      ( ~ c_in(X8,X7,tc_prod(X9,X9))
      | c_in(X8,c_Transitive__Closure_Ortrancl(X7,X9),tc_prod(X9,X9)) ),
    inference(variable_rename,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(X2,X3,X1,X4),X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X3,X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X1,X4,X4),X2,tc_prod(X4,X4))
    | ~ c_Comb_Odiamond(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X1,X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X3,X4,X4),X2,tc_prod(X4,X4))
    | ~ c_Comb_Odiamond(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ( c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(X2,X3,X1,X4),X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X3,X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X1,X4,X4),X2,tc_prod(X4,X4))
    | ~ c_Comb_Odiamond(X2,X4) ),
    c_0_12,
    [final] ).

cnf(c_0_17,plain,
    ( c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X1,X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X3,X4,X4),X2,tc_prod(X4,X4))
    | ~ c_Comb_Odiamond(X2,X4) ),
    c_0_13,
    [final] ).

cnf(c_0_18,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    c_0_14,
    [final] ).

cnf(c_0_19,plain,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    c_0_15,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_16_0,axiom,
    ( c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(X2,X3,X1,X4),X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X3,X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X1,X4,X4),X2,tc_prod(X4,X4))
    | ~ c_Comb_Odiamond(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_16]) ).

cnf(c_0_16_1,axiom,
    ( ~ c_in(c_Pair(X5,X3,X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(X2,X3,X1,X4),X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X1,X4,X4),X2,tc_prod(X4,X4))
    | ~ c_Comb_Odiamond(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_16]) ).

cnf(c_0_16_2,axiom,
    ( ~ c_in(c_Pair(X5,X1,X4,X4),X2,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X3,X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(X2,X3,X1,X4),X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_Comb_Odiamond(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_16]) ).

cnf(c_0_16_3,axiom,
    ( ~ c_Comb_Odiamond(X2,X4)
    | ~ c_in(c_Pair(X5,X1,X4,X4),X2,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X3,X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(X2,X3,X1,X4),X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_16]) ).

cnf(c_0_17_0,axiom,
    ( c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X1,X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X3,X4,X4),X2,tc_prod(X4,X4))
    | ~ c_Comb_Odiamond(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_17]) ).

cnf(c_0_17_1,axiom,
    ( ~ c_in(c_Pair(X5,X1,X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X3,X4,X4),X2,tc_prod(X4,X4))
    | ~ c_Comb_Odiamond(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_17]) ).

cnf(c_0_17_2,axiom,
    ( ~ c_in(c_Pair(X5,X3,X4,X4),X2,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X1,X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))
    | ~ c_Comb_Odiamond(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_17]) ).

cnf(c_0_17_3,axiom,
    ( ~ c_Comb_Odiamond(X2,X4)
    | ~ c_in(c_Pair(X5,X3,X4,X4),X2,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X5,X1,X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | c_in(c_Pair(X1,c_Comb_Odiamond__strip__lemmaE__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_17]) ).

cnf(c_0_18_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_18]) ).

cnf(c_0_18_1,axiom,
    ( ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_18]) ).

cnf(c_0_18_2,axiom,
    ( ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_18]) ).

cnf(c_0_19_0,axiom,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_19]) ).

cnf(c_0_19_1,axiom,
    ( ~ c_in(X1,X2,tc_prod(X3,X3))
    | c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_19]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
    ! [X1] :
      ( ~ c_in(c_Pair(v_xaa,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_z,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    file('<stdin>',cls_conjecture_6) ).

fof(c_0_1_002,negated_conjecture,
    ! [X1] :
      ( c_in(c_Pair(X1,v_x(X1),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_y,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    file('<stdin>',cls_conjecture_5) ).

fof(c_0_2_003,negated_conjecture,
    ! [X1] :
      ( c_in(c_Pair(v_ya,v_x(X1),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_y,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    file('<stdin>',cls_conjecture_4) ).

fof(c_0_3_004,negated_conjecture,
    c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
    file('<stdin>',cls_conjecture_3) ).

fof(c_0_4_005,negated_conjecture,
    c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('<stdin>',cls_conjecture_2) ).

fof(c_0_5_006,negated_conjecture,
    c_Comb_Odiamond(v_r,t_a),
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_6_007,negated_conjecture,
    ! [X1] :
      ( ~ c_in(c_Pair(v_xaa,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_z,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_7_008,negated_conjecture,
    ! [X1] :
      ( c_in(c_Pair(X1,v_x(X1),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_y,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_8_009,negated_conjecture,
    ! [X1] :
      ( c_in(c_Pair(v_ya,v_x(X1),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_y,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_9_010,negated_conjecture,
    c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
    c_0_3 ).

fof(c_0_10_011,negated_conjecture,
    c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    c_0_4 ).

fof(c_0_11_012,negated_conjecture,
    c_Comb_Odiamond(v_r,t_a),
    c_0_5 ).

fof(c_0_12_013,negated_conjecture,
    ! [X2] :
      ( ~ c_in(c_Pair(v_xaa,X2,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_z,X2,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(variable_rename,[status(thm)],[c_0_6]) ).

fof(c_0_13_014,negated_conjecture,
    ! [X2] :
      ( c_in(c_Pair(X2,v_x(X2),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_y,X2,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(variable_rename,[status(thm)],[c_0_7]) ).

fof(c_0_14_015,negated_conjecture,
    ! [X2] :
      ( c_in(c_Pair(v_ya,v_x(X2),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_y,X2,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(variable_rename,[status(thm)],[c_0_8]) ).

fof(c_0_15_016,negated_conjecture,
    c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
    c_0_9 ).

fof(c_0_16_017,negated_conjecture,
    c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    c_0_10 ).

fof(c_0_17_018,negated_conjecture,
    c_Comb_Odiamond(v_r,t_a),
    c_0_11 ).

cnf(c_0_18_019,negated_conjecture,
    ( ~ c_in(c_Pair(v_z,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_xaa,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19_020,negated_conjecture,
    ( c_in(c_Pair(X1,v_x(X1),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_y,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,negated_conjecture,
    ( c_in(c_Pair(v_ya,v_x(X1),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_y,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,negated_conjecture,
    c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,negated_conjecture,
    c_Comb_Odiamond(v_r,t_a),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ c_in(c_Pair(v_z,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_xaa,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    c_0_18,
    [final] ).

cnf(c_0_25,negated_conjecture,
    ( c_in(c_Pair(X1,v_x(X1),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_y,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    c_0_19,
    [final] ).

cnf(c_0_26,negated_conjecture,
    ( c_in(c_Pair(v_ya,v_x(X1),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_y,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    c_0_20,
    [final] ).

cnf(c_0_27,negated_conjecture,
    c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
    c_0_21,
    [final] ).

cnf(c_0_28,negated_conjecture,
    c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    c_0_22,
    [final] ).

cnf(c_0_29,negated_conjecture,
    c_Comb_Odiamond(v_r,t_a),
    c_0_23,
    [final] ).

% End CNF derivation

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

cnf(c_10,plain,
    ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
    | ~ c_in(c_Pair(X0,X4,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
    | ~ c_in(c_Pair(X4,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b83352.p',c_0_18_2) ).

cnf(c_77,plain,
    ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
    | ~ c_in(c_Pair(X0,X4,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
    | ~ c_in(c_Pair(X4,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
    inference(copy,[status(esa)],[c_10]) ).

cnf(c_68540,plain,
    ( ~ c_in(c_Pair(v_xaa,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(v_xaa,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_x(v_xaa),X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_68774,plain,
    ( c_in(c_Pair(v_xaa,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_xaa,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(instantiation,[status(thm)],[c_68540]) ).

cnf(c_12,plain,
    ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
    | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b83352.p',c_0_19_1) ).

cnf(c_79,plain,
    ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
    | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
    inference(copy,[status(esa)],[c_12]) ).

cnf(c_68643,plain,
    ( c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_13,negated_conjecture,
    ( ~ c_in(c_Pair(v_z,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_xaa,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b83352.p',c_0_24) ).

cnf(c_25,negated_conjecture,
    ( ~ c_in(c_Pair(v_z,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_xaa,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_13]) ).

cnf(c_49,negated_conjecture,
    ( ~ c_in(c_Pair(v_z,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_xaa,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_25]) ).

cnf(c_60,negated_conjecture,
    ( ~ c_in(c_Pair(v_z,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_xaa,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_49]) ).

cnf(c_64,negated_conjecture,
    ( ~ c_in(c_Pair(v_z,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_xaa,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_60]) ).

cnf(c_83,negated_conjecture,
    ( ~ c_in(c_Pair(v_z,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_xaa,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_64]) ).

cnf(c_68614,plain,
    ( ~ c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_xaa,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(instantiation,[status(thm)],[c_83]) ).

cnf(c_4,plain,
    ( ~ c_Comb_Odiamond(X0,X1)
    | ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))
    | ~ c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1))
    | c_in(c_Pair(X4,c_Comb_Odiamond__strip__lemmaE__1(X0,X4,X3,X1),X1,X1),X0,tc_prod(X1,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b83352.p',c_0_17_0) ).

cnf(c_71,plain,
    ( ~ c_Comb_Odiamond(X0,X1)
    | ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))
    | ~ c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1))
    | c_in(c_Pair(X4,c_Comb_Odiamond__strip__lemmaE__1(X0,X4,X3,X1),X1,X1),X0,tc_prod(X1,X1)) ),
    inference(copy,[status(esa)],[c_4]) ).

cnf(c_68523,plain,
    ( c_in(c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(v_r,X0,X1,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(X2,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_Comb_Odiamond(v_r,t_a) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_68562,plain,
    ( ~ c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_ya,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(v_r,X0,v_z,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_Comb_Odiamond(v_r,t_a) ),
    inference(instantiation,[status(thm)],[c_68523]) ).

cnf(c_68575,plain,
    ( c_in(c_Pair(v_x(v_xaa),c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_ya,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_Comb_Odiamond(v_r,t_a) ),
    inference(instantiation,[status(thm)],[c_68562]) ).

cnf(c_0,plain,
    ( ~ c_Comb_Odiamond(X0,X1)
    | ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))
    | ~ c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1))
    | c_in(c_Pair(X3,c_Comb_Odiamond__strip__lemmaE__1(X0,X4,X3,X1),X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b83352.p',c_0_16_0) ).

cnf(c_67,plain,
    ( ~ c_Comb_Odiamond(X0,X1)
    | ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))
    | ~ c_in(c_Pair(X2,X4,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1))
    | c_in(c_Pair(X3,c_Comb_Odiamond__strip__lemmaE__1(X0,X4,X3,X1),X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)) ),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_68528,plain,
    ( c_in(c_Pair(X0,c_Comb_Odiamond__strip__lemmaE__1(v_r,X1,X0,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(X2,X1,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(X2,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_Comb_Odiamond(v_r,t_a) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_68564,plain,
    ( c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,X0,v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_ya,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_Comb_Odiamond(v_r,t_a) ),
    inference(instantiation,[status(thm)],[c_68528]) ).

cnf(c_68573,plain,
    ( c_in(c_Pair(v_z,c_Comb_Odiamond__strip__lemmaE__1(v_r,v_x(v_xaa),v_z,t_a),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_ya,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_Comb_Odiamond(v_r,t_a) ),
    inference(instantiation,[status(thm)],[c_68564]) ).

cnf(c_14,negated_conjecture,
    ( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(X0,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b83352.p',c_0_25) ).

cnf(c_27,negated_conjecture,
    ( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(X0,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_14]) ).

cnf(c_50,negated_conjecture,
    ( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(X0,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_27]) ).

cnf(c_59,negated_conjecture,
    ( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(X0,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_50]) ).

cnf(c_65,negated_conjecture,
    ( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(X0,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_59]) ).

cnf(c_84,negated_conjecture,
    ( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(X0,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_65]) ).

cnf(c_68513,plain,
    ( c_in(c_Pair(v_xaa,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | ~ c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(instantiation,[status(thm)],[c_84]) ).

cnf(c_15,negated_conjecture,
    ( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(v_ya,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b83352.p',c_0_26) ).

cnf(c_29,negated_conjecture,
    ( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(v_ya,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_15]) ).

cnf(c_51,negated_conjecture,
    ( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(v_ya,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_29]) ).

cnf(c_58,negated_conjecture,
    ( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(v_ya,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_51]) ).

cnf(c_66,negated_conjecture,
    ( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(v_ya,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_58]) ).

cnf(c_85,negated_conjecture,
    ( ~ c_in(c_Pair(v_y,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(v_ya,v_x(X0),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(copy,[status(esa)],[c_66]) ).

cnf(c_68512,plain,
    ( ~ c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
    | c_in(c_Pair(v_ya,v_x(v_xaa),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(instantiation,[status(thm)],[c_85]) ).

cnf(c_16,negated_conjecture,
    c_in(c_Pair(v_y,v_xaa,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b83352.p',c_0_27) ).

cnf(c_17,negated_conjecture,
    c_in(c_Pair(v_ya,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b83352.p',c_0_28) ).

cnf(c_18,negated_conjecture,
    c_Comb_Odiamond(v_r,t_a),
    file('/export/starexec/sandbox/tmp/iprover_modulo_b83352.p',c_0_29) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_68774,c_68643,c_68614,c_68575,c_68573,c_68513,c_68512,c_16,c_17,c_18]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : COL121-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue May 31 15:09:11 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Running in mono-core mode
% 0.21/0.42  % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.42  % Orientation found
% 0.21/0.42  % 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_a22bda.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_b83352.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_f7004f | grep -v "SZS"
% 0.21/0.44  
% 0.21/0.44  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.44  
% 0.21/0.44  % 
% 0.21/0.44  % ------  iProver source info 
% 0.21/0.44  
% 0.21/0.44  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.44  % git: non_committed_changes: true
% 0.21/0.44  % git: last_make_outside_of_git: true
% 0.21/0.44  
% 0.21/0.44  % 
% 0.21/0.44  % ------ Input Options
% 0.21/0.44  
% 0.21/0.44  % --out_options                         all
% 0.21/0.44  % --tptp_safe_out                       true
% 0.21/0.44  % --problem_path                        ""
% 0.21/0.44  % --include_path                        ""
% 0.21/0.44  % --clausifier                          .//eprover
% 0.21/0.44  % --clausifier_options                  --tstp-format  
% 0.21/0.44  % --stdin                               false
% 0.21/0.44  % --dbg_backtrace                       false
% 0.21/0.44  % --dbg_dump_prop_clauses               false
% 0.21/0.44  % --dbg_dump_prop_clauses_file          -
% 0.21/0.44  % --dbg_out_stat                        false
% 0.21/0.44  
% 0.21/0.44  % ------ General Options
% 0.21/0.44  
% 0.21/0.44  % --fof                                 false
% 0.21/0.44  % --time_out_real                       150.
% 0.21/0.44  % --time_out_prep_mult                  0.2
% 0.21/0.44  % --time_out_virtual                    -1.
% 0.21/0.44  % --schedule                            none
% 0.21/0.44  % --ground_splitting                    input
% 0.21/0.44  % --splitting_nvd                       16
% 0.21/0.44  % --non_eq_to_eq                        false
% 0.21/0.44  % --prep_gs_sim                         true
% 0.21/0.44  % --prep_unflatten                      false
% 0.21/0.44  % --prep_res_sim                        true
% 0.21/0.44  % --prep_upred                          true
% 0.21/0.44  % --res_sim_input                       true
% 0.21/0.44  % --clause_weak_htbl                    true
% 0.21/0.44  % --gc_record_bc_elim                   false
% 0.21/0.44  % --symbol_type_check                   false
% 0.21/0.44  % --clausify_out                        false
% 0.21/0.44  % --large_theory_mode                   false
% 0.21/0.44  % --prep_sem_filter                     none
% 0.21/0.44  % --prep_sem_filter_out                 false
% 0.21/0.44  % --preprocessed_out                    false
% 0.21/0.44  % --sub_typing                          false
% 0.21/0.44  % --brand_transform                     false
% 0.21/0.44  % --pure_diseq_elim                     true
% 0.21/0.44  % --min_unsat_core                      false
% 0.21/0.44  % --pred_elim                           true
% 0.21/0.44  % --add_important_lit                   false
% 0.21/0.44  % --soft_assumptions                    false
% 0.21/0.44  % --reset_solvers                       false
% 0.21/0.44  % --bc_imp_inh                          []
% 0.21/0.44  % --conj_cone_tolerance                 1.5
% 0.21/0.44  % --prolific_symb_bound                 500
% 0.21/0.44  % --lt_threshold                        2000
% 0.21/0.44  
% 0.21/0.44  % ------ SAT Options
% 0.21/0.44  
% 0.21/0.44  % --sat_mode                            false
% 0.21/0.44  % --sat_fm_restart_options              ""
% 0.21/0.44  % --sat_gr_def                          false
% 0.21/0.44  % --sat_epr_types                       true
% 0.21/0.44  % --sat_non_cyclic_types                false
% 0.21/0.44  % --sat_finite_models                   false
% 0.21/0.44  % --sat_fm_lemmas                       false
% 0.21/0.44  % --sat_fm_prep                         false
% 0.21/0.44  % --sat_fm_uc_incr                      true
% 0.21/0.44  % --sat_out_model                       small
% 0.21/0.44  % --sat_out_clauses                     false
% 0.21/0.44  
% 0.21/0.44  % ------ QBF Options
% 0.21/0.44  
% 0.21/0.44  % --qbf_mode                            false
% 0.21/0.44  % --qbf_elim_univ                       true
% 0.21/0.44  % --qbf_sk_in                           true
% 0.21/0.44  % --qbf_pred_elim                       true
% 0.21/0.44  % --qbf_split                           32
% 0.21/0.44  
% 0.21/0.44  % ------ BMC1 Options
% 0.21/0.44  
% 0.21/0.44  % --bmc1_incremental                    false
% 0.21/0.44  % --bmc1_axioms                         reachable_all
% 0.21/0.44  % --bmc1_min_bound                      0
% 0.21/0.44  % --bmc1_max_bound                      -1
% 0.21/0.44  % --bmc1_max_bound_default              -1
% 0.21/0.44  % --bmc1_symbol_reachability            true
% 0.21/0.44  % --bmc1_property_lemmas                false
% 0.21/0.44  % --bmc1_k_induction                    false
% 0.21/0.44  % --bmc1_non_equiv_states               false
% 0.21/0.44  % --bmc1_deadlock                       false
% 0.21/0.44  % --bmc1_ucm                            false
% 0.21/0.44  % --bmc1_add_unsat_core                 none
% 0.21/0.44  % --bmc1_unsat_core_children            false
% 0.21/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.44  % --bmc1_out_stat                       full
% 0.21/0.44  % --bmc1_ground_init                    false
% 0.21/0.44  % --bmc1_pre_inst_next_state            false
% 0.21/0.44  % --bmc1_pre_inst_state                 false
% 0.21/0.44  % --bmc1_pre_inst_reach_state           false
% 0.21/0.44  % --bmc1_out_unsat_core                 false
% 0.21/0.44  % --bmc1_aig_witness_out                false
% 0.21/0.44  % --bmc1_verbose                        false
% 0.21/0.44  % --bmc1_dump_clauses_tptp              false
% 0.21/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.45  % --bmc1_dump_file                      -
% 0.21/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.45  % --bmc1_ucm_extend_mode                1
% 0.21/0.45  % --bmc1_ucm_init_mode                  2
% 0.21/0.45  % --bmc1_ucm_cone_mode                  none
% 0.21/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.45  % --bmc1_ucm_relax_model                4
% 0.21/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.45  % --bmc1_ucm_layered_model              none
% 0.21/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.45  
% 0.21/0.45  % ------ AIG Options
% 0.21/0.45  
% 0.21/0.45  % --aig_mode                            false
% 0.21/0.45  
% 0.21/0.45  % ------ Instantiation Options
% 0.21/0.45  
% 0.21/0.45  % --instantiation_flag                  true
% 0.21/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45  % --inst_solver_per_active              750
% 0.21/0.45  % --inst_solver_calls_frac              0.5
% 0.21/0.45  % --inst_passive_queue_type             priority_queues
% 0.21/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45  % --inst_passive_queues_freq            [25;2]
% 0.21/0.45  % --inst_dismatching                    true
% 0.21/0.45  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.45  % --inst_prop_sim_given                 true
% 0.21/0.45  % --inst_prop_sim_new                   false
% 0.21/0.45  % --inst_orphan_elimination             true
% 0.21/0.45  % --inst_learning_loop_flag             true
% 0.21/0.45  % --inst_learning_start                 3000
% 0.21/0.45  % --inst_learning_factor                2
% 0.21/0.45  % --inst_start_prop_sim_after_learn     3
% 0.21/0.45  % --inst_sel_renew                      solver
% 0.21/0.45  % --inst_lit_activity_flag              true
% 0.21/0.45  % --inst_out_proof                      true
% 0.21/0.45  
% 0.21/0.45  % ------ Resolution Options
% 0.21/0.45  
% 0.21/0.45  % --resolution_flag                     true
% 0.21/0.45  % --res_lit_sel                         kbo_max
% 0.21/0.45  % --res_to_prop_solver                  none
% 0.21/0.45  % --res_prop_simpl_new                  false
% 0.21/0.45  % --res_prop_simpl_given                false
% 0.21/0.45  % --res_passive_queue_type              priority_queues
% 0.21/0.45  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.45  % --res_passive_queues_freq             [15;5]
% 0.21/0.45  % --res_forward_subs                    full
% 0.21/0.45  % --res_backward_subs                   full
% 0.21/0.45  % --res_forward_subs_resolution         true
% 0.21/0.45  % --res_backward_subs_resolution        true
% 0.21/0.45  % --res_orphan_elimination              false
% 0.21/0.45  % --res_time_limit                      1000.
% 0.21/0.45  % --res_out_proof                       true
% 0.21/0.45  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_a22bda.s
% 0.21/0.45  % --modulo                              true
% 0.21/0.45  
% 0.21/0.45  % ------ Combination Options
% 0.21/0.45  
% 0.21/0.45  % --comb_res_mult                       1000
% 0.21/0.45  % --comb_inst_mult                      300
% 0.21/0.45  % ------ 
% 0.21/0.45  
% 0.21/0.45  % ------ Parsing...% successful
% 0.21/0.45  
% 0.21/0.45  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.21/0.45  
% 0.21/0.45  % ------ Proving...
% 0.21/0.45  % ------ Problem Properties 
% 0.21/0.45  
% 0.21/0.45  % 
% 0.21/0.45  % EPR                                   false
% 0.21/0.45  % Horn                                  true
% 0.21/0.45  % Has equality                          false
% 0.21/0.45  
% 0.21/0.45  % % ------ Input Options Time Limit: Unbounded
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  % % ------ Current options:
% 0.21/0.45  
% 0.21/0.45  % ------ Input Options
% 0.21/0.45  
% 0.21/0.45  % --out_options                         all
% 0.21/0.45  % --tptp_safe_out                       true
% 0.21/0.45  % --problem_path                        ""
% 0.21/0.45  % --include_path                        ""
% 0.21/0.45  % --clausifier                          .//eprover
% 0.21/0.45  % --clausifier_options                  --tstp-format  
% 0.21/0.45  % --stdin                               false
% 0.21/0.45  % --dbg_backtrace                       false
% 0.21/0.45  % --dbg_dump_prop_clauses               false
% 0.21/0.45  % --dbg_dump_prop_clauses_file          -
% 0.21/0.45  % --dbg_out_stat                        false
% 0.21/0.45  
% 0.21/0.45  % ------ General Options
% 0.21/0.45  
% 0.21/0.45  % --fof                                 false
% 0.21/0.45  % --time_out_real                       150.
% 0.21/0.45  % --time_out_prep_mult                  0.2
% 0.21/0.45  % --time_out_virtual                    -1.
% 0.21/0.45  % --schedule                            none
% 0.21/0.45  % --ground_splitting                    input
% 0.21/0.45  % --splitting_nvd                       16
% 0.21/0.45  % --non_eq_to_eq                        false
% 0.21/0.45  % --prep_gs_sim                         true
% 0.21/0.45  % --prep_unflatten                      false
% 0.21/0.45  % --prep_res_sim                        true
% 0.21/0.45  % --prep_upred                          true
% 0.21/0.45  % --res_sim_input                       true
% 0.21/0.45  % --clause_weak_htbl                    true
% 0.21/0.45  % --gc_record_bc_elim                   false
% 0.21/0.45  % --symbol_type_check                   false
% 0.21/0.45  % --clausify_out                        false
% 0.21/0.45  % --large_theory_mode                   false
% 0.21/0.45  % --prep_sem_filter                     none
% 0.21/0.45  % --prep_sem_filter_out                 false
% 0.21/0.45  % --preprocessed_out                    false
% 0.21/0.45  % --sub_typing                          false
% 0.21/0.45  % --brand_transform                     false
% 0.21/0.45  % --pure_diseq_elim                     true
% 0.21/0.45  % --min_unsat_core                      false
% 0.21/0.45  % --pred_elim                           true
% 0.21/0.45  % --add_important_lit                   false
% 0.21/0.45  % --soft_assumptions                    false
% 0.21/0.45  % --reset_solvers                       false
% 0.21/0.45  % --bc_imp_inh                          []
% 0.21/0.45  % --conj_cone_tolerance                 1.5
% 0.21/0.45  % --prolific_symb_bound                 500
% 0.21/0.45  % --lt_threshold                        2000
% 0.21/0.45  
% 0.21/0.45  % ------ SAT Options
% 0.21/0.45  
% 0.21/0.45  % --sat_mode                            false
% 0.21/0.45  % --sat_fm_restart_options              ""
% 0.21/0.45  % --sat_gr_def                          false
% 0.21/0.45  % --sat_epr_types                       true
% 0.21/0.45  % --sat_non_cyclic_types                false
% 0.21/0.45  % --sat_finite_models                   false
% 0.21/0.45  % --sat_fm_lemmas                       false
% 0.21/0.45  % --sat_fm_prep                         false
% 0.21/0.45  % --sat_fm_uc_incr                      true
% 0.21/0.45  % --sat_out_model                       small
% 0.21/0.45  % --sat_out_clauses                     false
% 0.21/0.45  
% 0.21/0.45  % ------ QBF Options
% 0.21/0.45  
% 0.21/0.45  % --qbf_mode                            false
% 0.21/0.45  % --qbf_elim_univ                       true
% 0.21/0.45  % --qbf_sk_in                           true
% 0.21/0.45  % --qbf_pred_elim                       true
% 0.21/0.45  % --qbf_split                           32
% 0.21/0.45  
% 0.21/0.45  % ------ BMC1 Options
% 0.21/0.45  
% 0.21/0.45  % --bmc1_incremental                    false
% 0.21/0.45  % --bmc1_axioms                         reachable_all
% 0.21/0.45  % --bmc1_min_bound                      0
% 0.21/0.45  % --bmc1_max_bound                      -1
% 0.21/0.45  % --bmc1_max_bound_default              -1
% 0.21/0.45  % --bmc1_symbol_reachability            true
% 0.21/0.45  % --bmc1_property_lemmas                false
% 0.21/0.45  % --bmc1_k_induction                    false
% 0.21/0.45  % --bmc1_non_equiv_states               false
% 0.21/0.45  % --bmc1_deadlock                       false
% 0.21/0.45  % --bmc1_ucm                            false
% 0.21/0.45  % --bmc1_add_unsat_core                 none
% 0.21/0.45  % --bmc1_unsat_core_children            false
% 0.21/0.45  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.45  % --bmc1_out_stat                       full
% 0.21/0.45  % --bmc1_ground_init                    false
% 0.21/0.45  % --bmc1_pre_inst_next_state            false
% 0.21/0.45  % --bmc1_pre_inst_state                 false
% 0.21/0.45  % --bmc1_pre_inst_reach_state           false
% 0.21/0.45  % --bmc1_out_unsat_core                 false
% 0.21/0.45  % --bmc1_aig_witness_out                false
% 0.21/0.45  % --bmc1_verbose                        false
% 0.21/0.45  % --bmc1_dump_clauses_tptp              false
% 0.21/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.45  % --bmc1_dump_file                      -
% 0.21/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.45  % --bmc1_ucm_extend_mode                1
% 0.21/0.45  % --bmc1_ucm_init_mode                  2
% 0.21/0.45  % --bmc1_ucm_cone_mode                  none
% 0.21/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.45  % --bmc1_ucm_relax_model                4
% 0.21/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.45  % --bmc1_ucm_layered_model              none
% 0.21/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.45  
% 0.21/0.45  % ------ AIG Options
% 0.21/0.45  
% 0.21/0.45  % --aig_mode                            false
% 0.21/0.45  
% 0.21/0.45  % ------ Instantiation Options
% 0.21/0.45  
% 0.21/0.45  % --instantiation_flag                  true
% 0.21/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45  % --inst_solver_per_active              750
% 0.21/0.45  % --inst_solver_calls_frac              0.5
% 0.21/0.45  % --inst_passive_queue_type             priority_queues
% 0.21/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45  % --inst_passive_queues_freq            [25;2]
% 0.21/0.45  % --inst_dismatching                    true
% 0.21/0.45  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.45  % --inst_prop_sim_given                 true
% 3.27/3.47  % --inst_prop_sim_new                   false
% 3.27/3.47  % --inst_orphan_elimination             true
% 3.27/3.47  % --inst_learning_loop_flag             true
% 3.27/3.47  % --inst_learning_start                 3000
% 3.27/3.47  % --inst_learning_factor                2
% 3.27/3.47  % --inst_start_prop_sim_after_learn     3
% 3.27/3.47  % --inst_sel_renew                      solver
% 3.27/3.47  % --inst_lit_activity_flag              true
% 3.27/3.47  % --inst_out_proof                      true
% 3.27/3.47  
% 3.27/3.47  % ------ Resolution Options
% 3.27/3.47  
% 3.27/3.47  % --resolution_flag                     true
% 3.27/3.47  % --res_lit_sel                         kbo_max
% 3.27/3.47  % --res_to_prop_solver                  none
% 3.27/3.47  % --res_prop_simpl_new                  false
% 3.27/3.47  % --res_prop_simpl_given                false
% 3.27/3.47  % --res_passive_queue_type              priority_queues
% 3.27/3.47  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.27/3.47  % --res_passive_queues_freq             [15;5]
% 3.27/3.47  % --res_forward_subs                    full
% 3.27/3.47  % --res_backward_subs                   full
% 3.27/3.47  % --res_forward_subs_resolution         true
% 3.27/3.47  % --res_backward_subs_resolution        true
% 3.27/3.47  % --res_orphan_elimination              false
% 3.27/3.47  % --res_time_limit                      1000.
% 3.27/3.47  % --res_out_proof                       true
% 3.27/3.47  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_a22bda.s
% 3.27/3.47  % --modulo                              true
% 3.27/3.47  
% 3.27/3.47  % ------ Combination Options
% 3.27/3.47  
% 3.27/3.47  % --comb_res_mult                       1000
% 3.27/3.47  % --comb_inst_mult                      300
% 3.27/3.47  % ------ 
% 3.27/3.47  
% 3.27/3.47  
% 3.27/3.47  
% 3.27/3.47  % ------ Proving...
% 3.27/3.47  % 
% 3.27/3.47  
% 3.27/3.47  
% 3.27/3.47  % ------                             Statistics
% 3.27/3.47  
% 3.27/3.47  % ------ General
% 3.27/3.47  
% 3.27/3.47  % num_of_input_clauses:                 19
% 3.27/3.47  % num_of_input_neg_conjectures:         6
% 3.27/3.47  % num_of_splits:                        0
% 3.27/3.47  % num_of_split_atoms:                   0
% 3.27/3.47  % num_of_sem_filtered_clauses:          0
% 3.27/3.47  % num_of_subtypes:                      0
% 3.27/3.47  % monotx_restored_types:                0
% 3.27/3.47  % sat_num_of_epr_types:                 0
% 3.27/3.47  % sat_num_of_non_cyclic_types:          0
% 3.27/3.47  % sat_guarded_non_collapsed_types:      0
% 3.27/3.47  % is_epr:                               0
% 3.27/3.47  % is_horn:                              1
% 3.27/3.47  % has_eq:                               0
% 3.27/3.47  % num_pure_diseq_elim:                  0
% 3.27/3.47  % simp_replaced_by:                     0
% 3.27/3.47  % res_preprocessed:                     12
% 3.27/3.47  % prep_upred:                           0
% 3.27/3.47  % prep_unflattend:                      0
% 3.27/3.47  % pred_elim_cands:                      0
% 3.27/3.47  % pred_elim:                            0
% 3.27/3.47  % pred_elim_cl:                         0
% 3.27/3.47  % pred_elim_cycles:                     0
% 3.27/3.47  % forced_gc_time:                       0
% 3.27/3.47  % gc_basic_clause_elim:                 0
% 3.27/3.47  % parsing_time:                         0.002
% 3.27/3.47  % sem_filter_time:                      0.
% 3.27/3.47  % pred_elim_time:                       0.
% 3.27/3.47  % out_proof_time:                       0.002
% 3.27/3.47  % monotx_time:                          0.
% 3.27/3.47  % subtype_inf_time:                     0.
% 3.27/3.47  % unif_index_cands_time:                0.014
% 3.27/3.47  % unif_index_add_time:                  0.003
% 3.27/3.47  % total_time:                           3.043
% 3.27/3.47  % num_of_symbols:                       38
% 3.27/3.47  % num_of_terms:                         8590
% 3.27/3.47  
% 3.27/3.47  % ------ Propositional Solver
% 3.27/3.47  
% 3.27/3.47  % prop_solver_calls:                    7
% 3.27/3.47  % prop_fast_solver_calls:               27
% 3.27/3.47  % prop_num_of_clauses:                  213
% 3.27/3.47  % prop_preprocess_simplified:           299
% 3.27/3.47  % prop_fo_subsumed:                     0
% 3.27/3.47  % prop_solver_time:                     0.
% 3.27/3.47  % prop_fast_solver_time:                0.
% 3.27/3.47  % prop_unsat_core_time:                 0.
% 3.27/3.47  
% 3.27/3.47  % ------ QBF 
% 3.27/3.47  
% 3.27/3.47  % qbf_q_res:                            0
% 3.27/3.47  % qbf_num_tautologies:                  0
% 3.27/3.47  % qbf_prep_cycles:                      0
% 3.27/3.47  
% 3.27/3.47  % ------ BMC1
% 3.27/3.47  
% 3.27/3.47  % bmc1_current_bound:                   -1
% 3.27/3.47  % bmc1_last_solved_bound:               -1
% 3.27/3.47  % bmc1_unsat_core_size:                 -1
% 3.27/3.47  % bmc1_unsat_core_parents_size:         -1
% 3.27/3.47  % bmc1_merge_next_fun:                  0
% 3.27/3.47  % bmc1_unsat_core_clauses_time:         0.
% 3.27/3.47  
% 3.27/3.47  % ------ Instantiation
% 3.27/3.47  
% 3.27/3.47  % inst_num_of_clauses:                  151
% 3.27/3.47  % inst_num_in_passive:                  36
% 3.27/3.47  % inst_num_in_active:                   75
% 3.27/3.47  % inst_num_in_unprocessed:              34
% 3.27/3.47  % inst_num_of_loops:                    79
% 3.27/3.47  % inst_num_of_learning_restarts:        0
% 3.27/3.47  % inst_num_moves_active_passive:        0
% 3.27/3.47  % inst_lit_activity:                    55
% 3.27/3.47  % inst_lit_activity_moves:              0
% 3.27/3.47  % inst_num_tautologies:                 0
% 3.27/3.47  % inst_num_prop_implied:                0
% 3.27/3.47  % inst_num_existing_simplified:         0
% 3.27/3.47  % inst_num_eq_res_simplified:           0
% 3.27/3.47  % inst_num_child_elim:                  0
% 3.27/3.47  % inst_num_of_dismatching_blockings:    0
% 3.27/3.47  % inst_num_of_non_proper_insts:         137
% 3.27/3.47  % inst_num_of_duplicates:               68
% 3.27/3.47  % inst_inst_num_from_inst_to_res:       0
% 3.27/3.47  % inst_dismatching_checking_time:       0.
% 3.27/3.47  
% 3.27/3.47  % ------ Resolution
% 3.27/3.47  
% 3.27/3.47  % res_num_of_clauses:                   17166
% 3.27/3.47  % res_num_in_passive:                   17758
% 3.27/3.47  % res_num_in_active:                    689
% 3.27/3.47  % res_num_of_loops:                     1000
% 3.27/3.47  % res_forward_subset_subsumed:          12229
% 3.27/3.47  % res_backward_subset_subsumed:         1363
% 3.27/3.47  % res_forward_subsumed:                 217
% 3.27/3.47  % res_backward_subsumed:                55
% 3.27/3.47  % res_forward_subsumption_resolution:   368
% 3.27/3.47  % res_backward_subsumption_resolution:  12
% 3.27/3.47  % res_clause_to_clause_subsumption:     49148
% 3.27/3.47  % res_orphan_elimination:               0
% 3.27/3.47  % res_tautology_del:                    117
% 3.27/3.47  % res_num_eq_res_simplified:            0
% 3.27/3.47  % res_num_sel_changes:                  0
% 3.27/3.47  % res_moves_from_active_to_pass:        0
% 3.27/3.47  
% 3.27/3.47  % Status Unsatisfiable
% 3.27/3.47  % SZS status Unsatisfiable
% 3.27/3.47  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------