TSTP Solution File: LAT005-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LAT005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n020.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 : Sun Jul 17 05:58:46 EDT 2022

% Result   : Unsatisfiable 4.71s 4.93s
% Output   : CNFRefutation 4.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   17
% Syntax   : Number of clauses     :  103 (  43 unt;   0 nHn;  97 RR)
%            Number of literals    :  200 (   0 equ;  98 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  11 con; 0-0 aty)
%            Number of variables   :   86 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(join_0_and_x,axiom,
    join(n0,X,X) ).

cnf(meet_0_and_x,axiom,
    meet(n0,X,n0) ).

cnf(commutativity_of_meet,axiom,
    ( ~ meet(X,Y,Z)
    | meet(Y,X,Z) ) ).

cnf(commutativity_of_join,axiom,
    ( ~ join(X,Y,Z)
    | join(Y,X,Z) ) ).

cnf(absorbtion1,axiom,
    ( ~ meet(X,Y,Z)
    | join(X,Z,X) ) ).

cnf(absorbtion2,axiom,
    ( ~ join(X,Y,Z)
    | meet(X,Z,X) ) ).

cnf(associativity_of_meet1,axiom,
    ( ~ meet(X,Y,Xy)
    | ~ meet(Y,Z,Yz)
    | ~ meet(X,Yz,Xyz)
    | meet(Xy,Z,Xyz) ) ).

cnf(modularity2,axiom,
    ( ~ meet(X,Z,X)
    | ~ join(X,Y,X1)
    | ~ meet(Y,Z,Y1)
    | ~ join(X,Y1,Z1)
    | meet(Z,X1,Z1) ) ).

cnf(meet_a_and_b,negated_conjecture,
    meet(a,b,c) ).

cnf(meet_c_and_r2,negated_conjecture,
    meet(c,r2,n0) ).

cnf(meet_r2_and_b,negated_conjecture,
    meet(r2,b,e) ).

cnf(join_a_and_b,negated_conjecture,
    join(a,b,c2) ).

cnf(meet_c2_and_r1,negated_conjecture,
    meet(c2,r1,n0) ).

cnf(meet_r2_and_a,negated_conjecture,
    meet(r2,a,d) ).

cnf(join_r1_and_e,negated_conjecture,
    join(r1,e,a2) ).

cnf(join_r1_and_d,negated_conjecture,
    join(r1,d,b2) ).

cnf(meet_a2_and_b2,negated_conjecture,
    ~ meet(a2,b2,r1) ).

cnf(refute_0_0,plain,
    join(n0,X_13,X_13),
    inference(subst,[],[join_0_and_x:[bind(X,$fot(X_13))]]) ).

cnf(refute_0_1,plain,
    ( ~ join(n0,X_13,X_13)
    | join(X_13,n0,X_13) ),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(n0)),bind(Y,$fot(X_13)),bind(Z,$fot(X_13))]]) ).

cnf(refute_0_2,plain,
    join(X_13,n0,X_13),
    inference(resolve,[$cnf( join(n0,X_13,X_13) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    join(r1,n0,r1),
    inference(subst,[],[refute_0_2:[bind(X_13,$fot(r1))]]) ).

cnf(refute_0_4,plain,
    ( ~ meet(e,a,n0)
    | meet(a,e,n0) ),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(e)),bind(Y,$fot(a)),bind(Z,$fot(n0))]]) ).

cnf(refute_0_5,plain,
    ( ~ meet(c,r2,n0)
    | meet(r2,c,n0) ),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(c)),bind(Y,$fot(r2)),bind(Z,$fot(n0))]]) ).

cnf(refute_0_6,plain,
    meet(r2,c,n0),
    inference(resolve,[$cnf( meet(c,r2,n0) )],[meet_c_and_r2,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ meet(a,b,c)
    | meet(b,a,c) ),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(c))]]) ).

cnf(refute_0_8,plain,
    meet(b,a,c),
    inference(resolve,[$cnf( meet(a,b,c) )],[meet_a_and_b,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ meet(X_888,b,X_889)
    | ~ meet(X_888,c,X_890)
    | ~ meet(b,a,c)
    | meet(X_889,a,X_890) ),
    inference(subst,[],[associativity_of_meet1:[bind(X,$fot(X_888)),bind(Xy,$fot(X_889)),bind(Xyz,$fot(X_890)),bind(Y,$fot(b)),bind(Yz,$fot(c)),bind(Z,$fot(a))]]) ).

cnf(refute_0_10,plain,
    ( ~ meet(X_888,b,X_889)
    | ~ meet(X_888,c,X_890)
    | meet(X_889,a,X_890) ),
    inference(resolve,[$cnf( meet(b,a,c) )],[refute_0_8,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( ~ meet(r2,b,X_1088)
    | ~ meet(r2,c,n0)
    | meet(X_1088,a,n0) ),
    inference(subst,[],[refute_0_10:[bind(X_888,$fot(r2)),bind(X_889,$fot(X_1088)),bind(X_890,$fot(n0))]]) ).

cnf(refute_0_12,plain,
    ( ~ meet(r2,b,X_1088)
    | meet(X_1088,a,n0) ),
    inference(resolve,[$cnf( meet(r2,c,n0) )],[refute_0_6,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ meet(r2,b,e)
    | meet(e,a,n0) ),
    inference(subst,[],[refute_0_12:[bind(X_1088,$fot(e))]]) ).

cnf(refute_0_14,plain,
    meet(e,a,n0),
    inference(resolve,[$cnf( meet(r2,b,e) )],[meet_r2_and_b,refute_0_13]) ).

cnf(refute_0_15,plain,
    meet(a,e,n0),
    inference(resolve,[$cnf( meet(e,a,n0) )],[refute_0_14,refute_0_4]) ).

cnf(refute_0_16,plain,
    meet(n0,X_7,n0),
    inference(subst,[],[meet_0_and_x:[bind(X,$fot(X_7))]]) ).

cnf(refute_0_17,plain,
    ( ~ meet(n0,X_7,n0)
    | meet(X_7,n0,n0) ),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(n0)),bind(Y,$fot(X_7)),bind(Z,$fot(n0))]]) ).

cnf(refute_0_18,plain,
    meet(X_7,n0,n0),
    inference(resolve,[$cnf( meet(n0,X_7,n0) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    meet(d,n0,n0),
    inference(subst,[],[refute_0_18:[bind(X_7,$fot(d))]]) ).

cnf(refute_0_20,plain,
    ( ~ join(a,d,a)
    | join(d,a,a) ),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(a)),bind(Y,$fot(d)),bind(Z,$fot(a))]]) ).

cnf(refute_0_21,plain,
    ( ~ meet(r2,a,d)
    | meet(a,r2,d) ),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(r2)),bind(Y,$fot(a)),bind(Z,$fot(d))]]) ).

cnf(refute_0_22,plain,
    meet(a,r2,d),
    inference(resolve,[$cnf( meet(r2,a,d) )],[meet_r2_and_a,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( ~ meet(a,r2,d)
    | join(a,d,a) ),
    inference(subst,[],[absorbtion1:[bind(X,$fot(a)),bind(Y,$fot(r2)),bind(Z,$fot(d))]]) ).

cnf(refute_0_24,plain,
    join(a,d,a),
    inference(resolve,[$cnf( meet(a,r2,d) )],[refute_0_22,refute_0_23]) ).

cnf(refute_0_25,plain,
    join(d,a,a),
    inference(resolve,[$cnf( join(a,d,a) )],[refute_0_24,refute_0_20]) ).

cnf(refute_0_26,plain,
    ( ~ join(d,a,a)
    | meet(d,a,d) ),
    inference(subst,[],[absorbtion2:[bind(X,$fot(d)),bind(Y,$fot(a)),bind(Z,$fot(a))]]) ).

cnf(refute_0_27,plain,
    meet(d,a,d),
    inference(resolve,[$cnf( join(d,a,a) )],[refute_0_25,refute_0_26]) ).

cnf(refute_0_28,plain,
    ( ~ meet(a,X_893,X_892)
    | ~ meet(d,X_892,X_890)
    | ~ meet(d,a,d)
    | meet(d,X_893,X_890) ),
    inference(subst,[],[associativity_of_meet1:[bind(X,$fot(d)),bind(Xy,$fot(d)),bind(Xyz,$fot(X_890)),bind(Y,$fot(a)),bind(Yz,$fot(X_892)),bind(Z,$fot(X_893))]]) ).

cnf(refute_0_29,plain,
    ( ~ meet(a,X_893,X_892)
    | ~ meet(d,X_892,X_890)
    | meet(d,X_893,X_890) ),
    inference(resolve,[$cnf( meet(d,a,d) )],[refute_0_27,refute_0_28]) ).

cnf(refute_0_30,plain,
    ( ~ meet(a,X_1425,n0)
    | ~ meet(d,n0,n0)
    | meet(d,X_1425,n0) ),
    inference(subst,[],[refute_0_29:[bind(X_890,$fot(n0)),bind(X_892,$fot(n0)),bind(X_893,$fot(X_1425))]]) ).

cnf(refute_0_31,plain,
    ( ~ meet(a,X_1425,n0)
    | meet(d,X_1425,n0) ),
    inference(resolve,[$cnf( meet(d,n0,n0) )],[refute_0_19,refute_0_30]) ).

cnf(refute_0_32,plain,
    ( ~ meet(a,e,n0)
    | meet(d,e,n0) ),
    inference(subst,[],[refute_0_31:[bind(X_1425,$fot(e))]]) ).

cnf(refute_0_33,plain,
    meet(d,e,n0),
    inference(resolve,[$cnf( meet(a,e,n0) )],[refute_0_15,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( ~ join(a,b,c2)
    | meet(a,c2,a) ),
    inference(subst,[],[absorbtion2:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(c2))]]) ).

cnf(refute_0_35,plain,
    meet(a,c2,a),
    inference(resolve,[$cnf( join(a,b,c2) )],[join_a_and_b,refute_0_34]) ).

cnf(refute_0_36,plain,
    ( ~ meet(a,X_103,a)
    | ~ meet(d,a,d)
    | meet(d,X_103,d) ),
    inference(subst,[],[associativity_of_meet1:[bind(X,$fot(d)),bind(Xy,$fot(d)),bind(Xyz,$fot(d)),bind(Y,$fot(a)),bind(Yz,$fot(a)),bind(Z,$fot(X_103))]]) ).

cnf(refute_0_37,plain,
    ( ~ meet(a,X_103,a)
    | meet(d,X_103,d) ),
    inference(resolve,[$cnf( meet(d,a,d) )],[refute_0_27,refute_0_36]) ).

cnf(refute_0_38,plain,
    ( ~ meet(a,c2,a)
    | meet(d,c2,d) ),
    inference(subst,[],[refute_0_37:[bind(X_103,$fot(c2))]]) ).

cnf(refute_0_39,plain,
    meet(d,c2,d),
    inference(resolve,[$cnf( meet(a,c2,a) )],[refute_0_35,refute_0_38]) ).

cnf(refute_0_40,plain,
    ( ~ meet(c2,X_893,X_892)
    | ~ meet(d,X_892,X_890)
    | ~ meet(d,c2,d)
    | meet(d,X_893,X_890) ),
    inference(subst,[],[associativity_of_meet1:[bind(X,$fot(d)),bind(Xy,$fot(d)),bind(Xyz,$fot(X_890)),bind(Y,$fot(c2)),bind(Yz,$fot(X_892)),bind(Z,$fot(X_893))]]) ).

cnf(refute_0_41,plain,
    ( ~ meet(c2,X_893,X_892)
    | ~ meet(d,X_892,X_890)
    | meet(d,X_893,X_890) ),
    inference(resolve,[$cnf( meet(d,c2,d) )],[refute_0_39,refute_0_40]) ).

cnf(refute_0_42,plain,
    ( ~ meet(c2,X_1469,e)
    | ~ meet(d,e,n0)
    | meet(d,X_1469,n0) ),
    inference(subst,[],[refute_0_41:[bind(X_890,$fot(n0)),bind(X_892,$fot(e)),bind(X_893,$fot(X_1469))]]) ).

cnf(refute_0_43,plain,
    ( ~ meet(c2,X_1469,e)
    | meet(d,X_1469,n0) ),
    inference(resolve,[$cnf( meet(d,e,n0) )],[refute_0_33,refute_0_42]) ).

cnf(refute_0_44,plain,
    ( ~ meet(c2,a2,e)
    | meet(d,a2,n0) ),
    inference(subst,[],[refute_0_43:[bind(X_1469,$fot(a2))]]) ).

cnf(refute_0_45,plain,
    join(e,n0,e),
    inference(subst,[],[refute_0_2:[bind(X_13,$fot(e))]]) ).

cnf(refute_0_46,plain,
    ( ~ join(r1,e,a2)
    | join(e,r1,a2) ),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(r1)),bind(Y,$fot(e)),bind(Z,$fot(a2))]]) ).

cnf(refute_0_47,plain,
    join(e,r1,a2),
    inference(resolve,[$cnf( join(r1,e,a2) )],[join_r1_and_e,refute_0_46]) ).

cnf(refute_0_48,plain,
    ( ~ join(a,b,c2)
    | join(b,a,c2) ),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(c2))]]) ).

cnf(refute_0_49,plain,
    join(b,a,c2),
    inference(resolve,[$cnf( join(a,b,c2) )],[join_a_and_b,refute_0_48]) ).

cnf(refute_0_50,plain,
    ( ~ join(b,a,c2)
    | meet(b,c2,b) ),
    inference(subst,[],[absorbtion2:[bind(X,$fot(b)),bind(Y,$fot(a)),bind(Z,$fot(c2))]]) ).

cnf(refute_0_51,plain,
    meet(b,c2,b),
    inference(resolve,[$cnf( join(b,a,c2) )],[refute_0_49,refute_0_50]) ).

cnf(refute_0_52,plain,
    ( ~ join(b,e,b)
    | join(e,b,b) ),
    inference(subst,[],[commutativity_of_join:[bind(X,$fot(b)),bind(Y,$fot(e)),bind(Z,$fot(b))]]) ).

cnf(refute_0_53,plain,
    ( ~ meet(r2,b,e)
    | meet(b,r2,e) ),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(r2)),bind(Y,$fot(b)),bind(Z,$fot(e))]]) ).

cnf(refute_0_54,plain,
    meet(b,r2,e),
    inference(resolve,[$cnf( meet(r2,b,e) )],[meet_r2_and_b,refute_0_53]) ).

cnf(refute_0_55,plain,
    ( ~ meet(b,r2,e)
    | join(b,e,b) ),
    inference(subst,[],[absorbtion1:[bind(X,$fot(b)),bind(Y,$fot(r2)),bind(Z,$fot(e))]]) ).

cnf(refute_0_56,plain,
    join(b,e,b),
    inference(resolve,[$cnf( meet(b,r2,e) )],[refute_0_54,refute_0_55]) ).

cnf(refute_0_57,plain,
    join(e,b,b),
    inference(resolve,[$cnf( join(b,e,b) )],[refute_0_56,refute_0_52]) ).

cnf(refute_0_58,plain,
    ( ~ join(e,b,b)
    | meet(e,b,e) ),
    inference(subst,[],[absorbtion2:[bind(X,$fot(e)),bind(Y,$fot(b)),bind(Z,$fot(b))]]) ).

cnf(refute_0_59,plain,
    meet(e,b,e),
    inference(resolve,[$cnf( join(e,b,b) )],[refute_0_57,refute_0_58]) ).

cnf(refute_0_60,plain,
    ( ~ meet(b,X_103,b)
    | ~ meet(e,b,e)
    | meet(e,X_103,e) ),
    inference(subst,[],[associativity_of_meet1:[bind(X,$fot(e)),bind(Xy,$fot(e)),bind(Xyz,$fot(e)),bind(Y,$fot(b)),bind(Yz,$fot(b)),bind(Z,$fot(X_103))]]) ).

cnf(refute_0_61,plain,
    ( ~ meet(b,X_103,b)
    | meet(e,X_103,e) ),
    inference(resolve,[$cnf( meet(e,b,e) )],[refute_0_59,refute_0_60]) ).

cnf(refute_0_62,plain,
    ( ~ meet(b,c2,b)
    | meet(e,c2,e) ),
    inference(subst,[],[refute_0_61:[bind(X_103,$fot(c2))]]) ).

cnf(refute_0_63,plain,
    meet(e,c2,e),
    inference(resolve,[$cnf( meet(b,c2,b) )],[refute_0_51,refute_0_62]) ).

cnf(refute_0_64,plain,
    ( ~ meet(c2,r1,n0)
    | meet(r1,c2,n0) ),
    inference(subst,[],[commutativity_of_meet:[bind(X,$fot(c2)),bind(Y,$fot(r1)),bind(Z,$fot(n0))]]) ).

cnf(refute_0_65,plain,
    meet(r1,c2,n0),
    inference(resolve,[$cnf( meet(c2,r1,n0) )],[meet_c2_and_r1,refute_0_64]) ).

cnf(refute_0_66,plain,
    ( ~ join(X_8872,n0,X_8877)
    | ~ join(X_8872,r1,X_8873)
    | ~ meet(X_8872,c2,X_8872)
    | ~ meet(r1,c2,n0)
    | meet(c2,X_8873,X_8877) ),
    inference(subst,[],[modularity2:[bind(X,$fot(X_8872)),bind(X1,$fot(X_8873)),bind(Y,$fot(r1)),bind(Y1,$fot(n0)),bind(Z,$fot(c2)),bind(Z1,$fot(X_8877))]]) ).

cnf(refute_0_67,plain,
    ( ~ join(X_8872,n0,X_8877)
    | ~ join(X_8872,r1,X_8873)
    | ~ meet(X_8872,c2,X_8872)
    | meet(c2,X_8873,X_8877) ),
    inference(resolve,[$cnf( meet(r1,c2,n0) )],[refute_0_65,refute_0_66]) ).

cnf(refute_0_68,plain,
    ( ~ join(e,n0,X_10139)
    | ~ join(e,r1,X_10138)
    | ~ meet(e,c2,e)
    | meet(c2,X_10138,X_10139) ),
    inference(subst,[],[refute_0_67:[bind(X_8872,$fot(e)),bind(X_8873,$fot(X_10138)),bind(X_8877,$fot(X_10139))]]) ).

cnf(refute_0_69,plain,
    ( ~ join(e,n0,X_10139)
    | ~ join(e,r1,X_10138)
    | meet(c2,X_10138,X_10139) ),
    inference(resolve,[$cnf( meet(e,c2,e) )],[refute_0_63,refute_0_68]) ).

cnf(refute_0_70,plain,
    ( ~ join(e,n0,X_10344)
    | ~ join(e,r1,a2)
    | meet(c2,a2,X_10344) ),
    inference(subst,[],[refute_0_69:[bind(X_10138,$fot(a2)),bind(X_10139,$fot(X_10344))]]) ).

cnf(refute_0_71,plain,
    ( ~ join(e,n0,X_10344)
    | meet(c2,a2,X_10344) ),
    inference(resolve,[$cnf( join(e,r1,a2) )],[refute_0_47,refute_0_70]) ).

cnf(refute_0_72,plain,
    ( ~ join(e,n0,e)
    | meet(c2,a2,e) ),
    inference(subst,[],[refute_0_71:[bind(X_10344,$fot(e))]]) ).

cnf(refute_0_73,plain,
    meet(c2,a2,e),
    inference(resolve,[$cnf( join(e,n0,e) )],[refute_0_45,refute_0_72]) ).

cnf(refute_0_74,plain,
    meet(d,a2,n0),
    inference(resolve,[$cnf( meet(c2,a2,e) )],[refute_0_73,refute_0_44]) ).

cnf(refute_0_75,plain,
    ( ~ join(r1,e,a2)
    | meet(r1,a2,r1) ),
    inference(subst,[],[absorbtion2:[bind(X,$fot(r1)),bind(Y,$fot(e)),bind(Z,$fot(a2))]]) ).

cnf(refute_0_76,plain,
    meet(r1,a2,r1),
    inference(resolve,[$cnf( join(r1,e,a2) )],[join_r1_and_e,refute_0_75]) ).

cnf(refute_0_77,plain,
    ( ~ join(r1,X_8874,X_8873)
    | ~ join(r1,X_8875,X_8877)
    | ~ meet(X_8874,a2,X_8875)
    | ~ meet(r1,a2,r1)
    | meet(a2,X_8873,X_8877) ),
    inference(subst,[],[modularity2:[bind(X,$fot(r1)),bind(X1,$fot(X_8873)),bind(Y,$fot(X_8874)),bind(Y1,$fot(X_8875)),bind(Z,$fot(a2)),bind(Z1,$fot(X_8877))]]) ).

cnf(refute_0_78,plain,
    ( ~ join(r1,X_8874,X_8873)
    | ~ join(r1,X_8875,X_8877)
    | ~ meet(X_8874,a2,X_8875)
    | meet(a2,X_8873,X_8877) ),
    inference(resolve,[$cnf( meet(r1,a2,r1) )],[refute_0_76,refute_0_77]) ).

cnf(refute_0_79,plain,
    ( ~ join(r1,d,X_11294)
    | ~ join(r1,n0,X_11297)
    | ~ meet(d,a2,n0)
    | meet(a2,X_11294,X_11297) ),
    inference(subst,[],[refute_0_78:[bind(X_8873,$fot(X_11294)),bind(X_8874,$fot(d)),bind(X_8875,$fot(n0)),bind(X_8877,$fot(X_11297))]]) ).

cnf(refute_0_80,plain,
    ( ~ join(r1,d,X_11294)
    | ~ join(r1,n0,X_11297)
    | meet(a2,X_11294,X_11297) ),
    inference(resolve,[$cnf( meet(d,a2,n0) )],[refute_0_74,refute_0_79]) ).

cnf(refute_0_81,plain,
    ( ~ join(r1,d,X_11301)
    | ~ join(r1,n0,r1)
    | meet(a2,X_11301,r1) ),
    inference(subst,[],[refute_0_80:[bind(X_11294,$fot(X_11301)),bind(X_11297,$fot(r1))]]) ).

cnf(refute_0_82,plain,
    ( ~ join(r1,d,X_11301)
    | meet(a2,X_11301,r1) ),
    inference(resolve,[$cnf( join(r1,n0,r1) )],[refute_0_3,refute_0_81]) ).

cnf(refute_0_83,plain,
    ( ~ join(r1,d,b2)
    | meet(a2,b2,r1) ),
    inference(subst,[],[refute_0_82:[bind(X_11301,$fot(b2))]]) ).

cnf(refute_0_84,plain,
    meet(a2,b2,r1),
    inference(resolve,[$cnf( join(r1,d,b2) )],[join_r1_and_d,refute_0_83]) ).

cnf(refute_0_85,plain,
    $false,
    inference(resolve,[$cnf( meet(a2,b2,r1) )],[refute_0_84,meet_a2_and_b2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n020.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 : Thu Jun 30 03:13:01 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 4.71/4.93  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.71/4.93  
% 4.71/4.93  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.71/4.93  
%------------------------------------------------------------------------------