%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LAT097-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n026.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  : 300s
% DateTime : Tue Aug 22 10:46:22 EDT 2023

% Result   : Unsatisfiable 215.49s 75.48s
% Output   : CNFRefutation 215.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   52 (  47 unt;   5 typ;   0 def)
%            Number of atoms       :   47 (  46 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :   20 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  142 (; 142   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ meet > join > #nlpp > c > b > a

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(a,type,
    a: $i ).

tff(join,type,
    join: ( $i * $i ) > $i ).

tff(b,type,
    b: $i ).

tff(meet,type,
    meet: ( $i * $i ) > $i ).

tff(c,type,
    c: $i ).

tff(f_24,axiom,
    ! [A,F,B,C,E,D] : ( join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(B,D),meet(E,B)),B)),meet(join(meet(B,meet(meet(join(B,D),join(E,B)),B)),meet(F,join(B,meet(meet(join(B,D),join(E,B)),B)))),join(A,join(join(meet(B,D),meet(E,B)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B ),
    file(unknown,unknown) ).

tff(f_26,axiom,
    join(join(meet(a,b),meet(c,b)),b) != b,
    file(unknown,unknown) ).

tff(c_2,plain,
    ! [A_1,E_5,D_6,C_4,B_3,F_2] : ( join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),C_4),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),C_4))) = B_3 ),
    inference(cnfTransformation,[status(thm)],[f_24]) ).

tff(c_5,plain,
    ! [F_7,D_8,C_11,B_9,E_10,A_12] : ( join(meet(join(meet(A_12,B_9),meet(B_9,join(A_12,B_9))),C_11),meet(join(meet(A_12,join(join(meet(B_9,D_8),meet(E_10,B_9)),B_9)),meet(join(meet(B_9,meet(meet(join(B_9,D_8),join(E_10,B_9)),B_9)),meet(F_7,join(B_9,meet(meet(join(B_9,D_8),join(E_10,B_9)),B_9)))),join(A_12,join(join(meet(B_9,D_8),meet(E_10,B_9)),B_9)))),join(join(meet(A_12,B_9),meet(B_9,join(A_12,B_9))),C_11))) = B_9 ),
    inference(cnfTransformation,[status(thm)],[f_24]) ).

tff(c_90,plain,
    ! [B_17,D_13,C_16,E_15,A_18,A_14] : ( join(meet(join(meet(A_18,join(meet(A_14,B_17),meet(B_17,join(A_14,B_17)))),meet(join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))),join(A_18,join(meet(A_14,B_17),meet(B_17,join(A_14,B_17)))))),C_16),meet(join(meet(A_18,join(join(meet(join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))),D_13),meet(E_15,join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))))),join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))))),meet(B_17,join(A_18,join(join(meet(join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))),D_13),meet(E_15,join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))))),join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))))))),join(join(meet(A_18,join(meet(A_14,B_17),meet(B_17,join(A_14,B_17)))),meet(join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))),join(A_18,join(meet(A_14,B_17),meet(B_17,join(A_14,B_17)))))),C_16))) = join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))) ),
    inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).

tff(c_309,plain,
    ! [A_1,E_5,D_6,D_13,C_16,B_3,E_15,F_2,A_18] : ( join(meet(join(meet(A_18,B_3),meet(join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))),join(A_18,join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))))))))),C_16),meet(join(meet(A_18,join(join(meet(join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))),D_13),meet(E_15,join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))))),join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(A_18,join(join(meet(join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))),D_13),meet(E_15,join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))))),join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))))))),join(join(meet(A_18,join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))))))),meet(join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))),join(A_18,join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))))))))),C_16))) = join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_90]) ).

tff(c_474,plain,
    ! [A_21,B_22,D_27,D_20,A_26,C_25,E_24,F_19,E_23] : ( join(meet(join(meet(A_21,B_22),meet(B_22,join(A_21,B_22))),C_25),meet(join(meet(A_21,join(join(meet(B_22,D_27),meet(E_24,B_22)),B_22)),meet(join(meet(A_26,join(join(meet(B_22,D_20),meet(E_23,B_22)),B_22)),meet(join(meet(B_22,meet(meet(join(B_22,D_20),join(E_23,B_22)),B_22)),meet(F_19,join(B_22,meet(meet(join(B_22,D_20),join(E_23,B_22)),B_22)))),join(A_26,join(join(meet(B_22,D_20),meet(E_23,B_22)),B_22)))),join(A_21,join(join(meet(B_22,D_27),meet(E_24,B_22)),B_22)))),join(join(meet(A_21,B_22),meet(B_22,join(A_21,B_22))),C_25))) = B_22 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_309]) ).

tff(c_715,plain,
    ! [A_1,B_3,C_25] : ( join(meet(join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),B_3),meet(B_3,join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),B_3))),C_25),meet(B_3,join(join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),B_3),meet(B_3,join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),B_3))),C_25))) = B_3 ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_474]) ).

tff(c_790,plain,
    ! [A_28,B_29,C_30] : ( join(meet(join(meet(join(meet(A_28,B_29),meet(B_29,join(A_28,B_29))),B_29),meet(B_29,join(join(meet(A_28,B_29),meet(B_29,join(A_28,B_29))),B_29))),C_30),meet(B_29,join(join(meet(join(meet(A_28,B_29),meet(B_29,join(A_28,B_29))),B_29),meet(B_29,join(join(meet(A_28,B_29),meet(B_29,join(A_28,B_29))),B_29))),C_30))) = B_29 ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_474]) ).

tff(c_1033,plain,
    ! [A_1,C_25,C_30] : ( join(meet(join(meet(join(meet(join(meet(A_1,C_25),meet(C_25,join(A_1,C_25))),C_25),meet(C_25,join(join(meet(A_1,C_25),meet(C_25,join(A_1,C_25))),C_25))),C_25),meet(C_25,join(join(meet(join(meet(A_1,C_25),meet(C_25,join(A_1,C_25))),C_25),meet(C_25,join(join(meet(A_1,C_25),meet(C_25,join(A_1,C_25))),C_25))),C_25))),C_30),meet(C_25,join(C_25,C_30))) = C_25 ),
    inference(superposition,[status(thm),theory(equality)],[c_715,c_790]) ).

tff(c_1184,plain,
    ! [C_25,C_30] : ( join(meet(C_25,C_30),meet(C_25,join(C_25,C_30))) = C_25 ),
    inference(demodulation,[status(thm),theory(equality)],[c_715,c_1033]) ).

tff(c_1211,plain,
    ! [C_31,C_32] : ( join(meet(C_31,C_32),meet(C_31,join(C_31,C_32))) = C_31 ),
    inference(demodulation,[status(thm),theory(equality)],[c_715,c_1033]) ).

tff(c_1402,plain,
    ! [A_1,E_5,D_6,C_4,C_31] : ( join(meet(join(meet(A_1,C_31),meet(C_31,join(A_1,C_31))),C_4),meet(join(meet(A_1,join(join(meet(C_31,D_6),meet(E_5,C_31)),C_31)),meet(C_31,join(A_1,join(join(meet(C_31,D_6),meet(E_5,C_31)),C_31)))),join(join(meet(A_1,C_31),meet(C_31,join(A_1,C_31))),C_4))) = C_31 ),
    inference(superposition,[status(thm),theory(equality)],[c_1211,c_2]) ).

tff(c_1486,plain,
    ! [A_37,D_33,C_36,E_34,C_35] : ( join(meet(join(meet(A_37,C_36),meet(C_36,join(A_37,C_36))),C_35),meet(join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))),join(join(meet(A_37,C_36),meet(C_36,join(A_37,C_36))),C_35))) = C_36 ),
    inference(superposition,[status(thm),theory(equality)],[c_1211,c_2]) ).

tff(c_1493,plain,
    ! [E_5,A_37,D_33,D_6,C_4,C_36,E_34] : ( join(meet(C_36,C_4),meet(join(meet(join(meet(A_37,C_36),meet(C_36,join(A_37,C_36))),join(join(meet(join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))),D_6),meet(E_5,join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))))),join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))))),meet(join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))),join(join(meet(A_37,C_36),meet(C_36,join(A_37,C_36))),join(join(meet(join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))),D_6),meet(E_5,join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))))),join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))))))),join(join(meet(join(meet(A_37,C_36),meet(C_36,join(A_37,C_36))),join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36))))),meet(join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))),join(join(meet(A_37,C_36),meet(C_36,join(A_37,C_36))),join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36))))))),C_4))) = join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))) ),
    inference(superposition,[status(thm),theory(equality)],[c_1486,c_1402]) ).

tff(c_4963,plain,
    ! [A_56,C_57,D_58,E_59] : ( join(meet(A_56,join(join(meet(C_57,D_58),meet(E_59,C_57)),C_57)),meet(C_57,join(A_56,join(join(meet(C_57,D_58),meet(E_59,C_57)),C_57)))) = C_57 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1184,c_1402,c_1402,c_1493]) ).

tff(c_6017,plain,
    ! [E_66,F_63,D_64,A_67,B_65] : ( join(meet(A_67,join(join(meet(B_65,D_64),meet(E_66,B_65)),B_65)),meet(join(meet(B_65,meet(meet(join(B_65,D_64),join(E_66,B_65)),B_65)),meet(F_63,join(B_65,meet(meet(join(B_65,D_64),join(E_66,B_65)),B_65)))),join(A_67,join(join(meet(B_65,D_64),meet(E_66,B_65)),B_65)))) = B_65 ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_4963]) ).

tff(c_1799,plain,
    ! [A_37,C_36,D_33,E_34] : ( join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))) = C_36 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1184,c_1402,c_1402,c_1493]) ).

tff(c_4962,plain,
    ! [A_1,C_31,C_4] : ( join(meet(join(meet(A_1,C_31),meet(C_31,join(A_1,C_31))),C_4),meet(C_31,join(join(meet(A_1,C_31),meet(C_31,join(A_1,C_31))),C_4))) = C_31 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1799,c_1402]) ).

tff(c_6233,plain,
    ! [B_68,D_69,E_70,F_71] : ( join(meet(B_68,meet(meet(join(B_68,D_69),join(E_70,B_68)),B_68)),meet(F_71,join(B_68,meet(meet(join(B_68,D_69),join(E_70,B_68)),B_68)))) = B_68 ),
    inference(superposition,[status(thm),theory(equality)],[c_6017,c_4962]) ).

tff(c_6516,plain,
    ! [A_72,F_73] : ( join(meet(A_72,F_73),meet(F_73,join(A_72,F_73))) = F_73 ),
    inference(superposition,[status(thm),theory(equality)],[c_6233,c_4962]) ).

tff(c_6042,plain,
    ! [B_65,D_64,E_66,F_63] : ( join(meet(B_65,meet(meet(join(B_65,D_64),join(E_66,B_65)),B_65)),meet(F_63,join(B_65,meet(meet(join(B_65,D_64),join(E_66,B_65)),B_65)))) = B_65 ),
    inference(superposition,[status(thm),theory(equality)],[c_6017,c_4962]) ).

tff(c_6538,plain,
    ! [A_72,D_64,E_66] : ( meet(meet(join(A_72,D_64),join(E_66,A_72)),A_72) = A_72 ),
    inference(superposition,[status(thm),theory(equality)],[c_6516,c_6042]) ).

tff(c_6954,plain,
    ! [B_83,F_84] : ( join(meet(B_83,B_83),meet(F_84,join(B_83,B_83))) = B_83 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6538,c_6538,c_6042]) ).

tff(c_7082,plain,
    ! [C_86,D_87,E_88] : ( join(join(meet(C_86,D_87),meet(E_88,C_86)),C_86) = C_86 ),
    inference(superposition,[status(thm),theory(equality)],[c_1799,c_6954]) ).

tff(c_7112,plain,
    ! [C_89,D_90] : ( meet(meet(join(C_89,D_90),C_89),C_89) = C_89 ),
    inference(superposition,[status(thm),theory(equality)],[c_7082,c_6538]) ).

tff(c_7546,plain,
    ! [C_101,C_102] : ( meet(meet(C_101,meet(C_101,C_102)),meet(C_101,C_102)) = meet(C_101,C_102) ),
    inference(superposition,[status(thm),theory(equality)],[c_1184,c_7112]) ).

tff(c_7633,plain,
    ! [A_72,D_64,E_66] : ( meet(meet(meet(join(A_72,D_64),join(E_66,A_72)),A_72),meet(meet(join(A_72,D_64),join(E_66,A_72)),A_72)) = meet(meet(join(A_72,D_64),join(E_66,A_72)),A_72) ),
    inference(superposition,[status(thm),theory(equality)],[c_6538,c_7546]) ).

tff(c_7658,plain,
    ! [A_72] : ( meet(A_72,A_72) = A_72 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6538,c_6538,c_6538,c_7633]) ).

tff(c_7014,plain,
    ! [B_83] : ( join(meet(B_83,B_83),join(B_83,B_83)) = B_83 ),
    inference(superposition,[status(thm),theory(equality)],[c_6538,c_6954]) ).

tff(c_7662,plain,
    ! [B_83] : ( join(B_83,join(B_83,B_83)) = B_83 ),
    inference(demodulation,[status(thm),theory(equality)],[c_7658,c_7014]) ).

tff(c_7664,plain,
    ! [A_103] : ( meet(A_103,A_103) = A_103 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6538,c_6538,c_6538,c_7633]) ).

tff(c_8333,plain,
    ! [D_111] : ( meet(join(D_111,D_111),D_111) = D_111 ),
    inference(superposition,[status(thm),theory(equality)],[c_7664,c_6538]) ).

tff(c_7109,plain,
    ! [A_72,D_87] : ( join(join(meet(A_72,D_87),A_72),A_72) = A_72 ),
    inference(superposition,[status(thm),theory(equality)],[c_6538,c_7082]) ).

tff(c_8425,plain,
    ! [D_111] : ( join(join(D_111,join(D_111,D_111)),join(D_111,D_111)) = join(D_111,D_111) ),
    inference(superposition,[status(thm),theory(equality)],[c_8333,c_7109]) ).

tff(c_8476,plain,
    ! [D_111] : ( join(D_111,D_111) = D_111 ),
    inference(demodulation,[status(thm),theory(equality)],[c_7662,c_7662,c_8425]) ).

tff(c_6802,plain,
    ! [B_65,F_63] : ( join(meet(B_65,B_65),meet(F_63,join(B_65,B_65))) = B_65 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6538,c_6538,c_6042]) ).

tff(c_7663,plain,
    ! [B_65,F_63] : ( join(B_65,meet(F_63,join(B_65,B_65))) = B_65 ),
    inference(demodulation,[status(thm),theory(equality)],[c_7658,c_6802]) ).

tff(c_8548,plain,
    ! [B_65,F_63] : ( join(B_65,meet(F_63,B_65)) = B_65 ),
    inference(demodulation,[status(thm),theory(equality)],[c_8476,c_7663]) ).

tff(c_6266,plain,
    ! [A_1,F_71] : ( join(meet(A_1,F_71),meet(F_71,join(A_1,F_71))) = F_71 ),
    inference(superposition,[status(thm),theory(equality)],[c_6233,c_4962]) ).

tff(c_9155,plain,
    ! [F_127,A_128] : ( meet(meet(F_127,meet(A_128,F_127)),meet(A_128,F_127)) = meet(A_128,F_127) ),
    inference(superposition,[status(thm),theory(equality)],[c_6266,c_7112]) ).

tff(c_9201,plain,
    ! [A_128,F_127] : ( join(join(meet(A_128,F_127),meet(F_127,meet(A_128,F_127))),meet(F_127,meet(A_128,F_127))) = meet(F_127,meet(A_128,F_127)) ),
    inference(superposition,[status(thm),theory(equality)],[c_9155,c_7109]) ).

tff(c_9299,plain,
    ! [F_129,A_130] : ( meet(F_129,meet(A_130,F_129)) = meet(A_130,F_129) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8548,c_8548,c_9201]) ).

tff(c_7026,plain,
    ! [C_36,D_33,E_34] : ( join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36) = C_36 ),
    inference(superposition,[status(thm),theory(equality)],[c_1799,c_6954]) ).

tff(c_9339,plain,
    ! [A_130,F_129,E_34] : ( join(join(meet(A_130,F_129),meet(E_34,F_129)),F_129) = F_129 ),
    inference(superposition,[status(thm),theory(equality)],[c_9299,c_7026]) ).

tff(c_4,plain,
    join(join(meet(a,b),meet(c,b)),b) != b,
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_10397,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_9339,c_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT097-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu Aug  3 12:43:32 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 215.49/75.48  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 215.49/75.48  
% 215.49/75.48  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 215.49/75.52  
% 215.49/75.52  Inference rules
% 215.49/75.52  ----------------------
% 215.49/75.52  #Ref     : 0
% 215.49/75.52  #Sup     : 2468
% 215.49/75.52  #Fact    : 0
% 215.49/75.52  #Define  : 0
% 215.49/75.52  #Split   : 0
% 215.49/75.52  #Chain   : 0
% 215.49/75.52  #Close   : 0
% 215.49/75.52  
% 215.49/75.52  Ordering : KBO
% 215.49/75.52  
% 215.49/75.52  Simplification rules
% 215.49/75.52  ----------------------
% 215.49/75.52  #Subsume      : 0
% 215.49/75.52  #Demod        : 17375
% 215.49/75.52  #Tautology    : 431
% 215.49/75.52  #SimpNegUnit  : 0
% 215.49/75.52  #BackRed      : 25
% 215.49/75.52  
% 215.49/75.52  #Partial instantiations: 0
% 215.49/75.52  #Strategies tried      : 1
% 215.49/75.52  
% 215.49/75.52  Timing (in seconds)
% 215.49/75.52  ----------------------
% 215.49/75.52  Preprocessing        : 0.46
% 215.49/75.52  Parsing              : 0.24
% 215.49/75.52  CNF conversion       : 0.02
% 215.49/75.52  Main loop            : 73.97
% 215.49/75.52  Inferencing          : 13.74
% 215.49/75.52  Reduction            : 58.92
% 215.49/75.52  Demodulation         : 54.04
% 215.49/75.52  BG Simplification    : 0.95
% 215.49/75.52  Subsumption          : 0.20
% 215.49/75.52  Abstraction          : 16.18
% 215.49/75.52  MUC search           : 0.00
% 215.49/75.52  Cooper               : 0.00
% 215.49/75.52  Total                : 74.48
% 215.49/75.52  Index Insertion      : 0.00
% 215.49/75.52  Index Deletion       : 0.00
% 215.49/75.53  Index Matching       : 0.00
% 215.49/75.53  BG Taut test         : 0.00
%------------------------------------------------------------------------------