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Prover9---2026-6A.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : REL008-4 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 08:24:47 AM UTC 2026

% Result   : Unsatisfiable 5.39s 1.17s
% Output   : CNFRefutation 5.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  112 (  94 unt;   0 def)
%            Number of atoms       :  130 ( 129 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   55 (  37   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  129 (   0 sgn  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity_1,axiom,
    ! [VAR_0,VAR_1] : join(VAR_0,VAR_1) = join(VAR_1,VAR_0),
    file('theBenchmark.p',maddux1_join_commutativity_1) ).

cnf(c_1,plain,
    join(A,B) = join(B,A),
    inference(clausify,[status(thm)],[maddux1_join_commutativity_1]) ).

fof(maddux2_join_associativity_2,axiom,
    ! [VAR_0,VAR_1,VAR_2] : join(VAR_0,join(VAR_1,VAR_2)) = join(join(VAR_0,VAR_1),VAR_2),
    file('theBenchmark.p',maddux2_join_associativity_2) ).

cnf(c_2,plain,
    join(A,join(B,C)) = join(join(A,B),C),
    inference(clausify,[status(thm)],[maddux2_join_associativity_2]) ).

cnf(c_3,plain,
    join(join(A,B),C) = join(A,join(B,C)),
    inference(copy,[status(thm)],[c_2]) ).

fof(maddux3_a_kind_of_de_Morgan_3,axiom,
    ! [VAR_0,VAR_1] : VAR_0 = join(complement(join(complement(VAR_0),complement(VAR_1))),complement(join(complement(VAR_0),VAR_1))),
    file('theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).

cnf(c_4,plain,
    A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
    inference(clausify,[status(thm)],[maddux3_a_kind_of_de_Morgan_3]) ).

cnf(c_3604,plain,
    A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
    inference(paramod,[status(thm)],[c_1,c_4]) ).

cnf(c_5,plain,
    join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = A,
    inference(copy,[status(thm)],[c_3604]) ).

fof(maddux4_definiton_of_meet_4,axiom,
    ! [VAR_0,VAR_1] : meet(VAR_0,VAR_1) = complement(join(complement(VAR_0),complement(VAR_1))),
    file('theBenchmark.p',maddux4_definiton_of_meet_4) ).

cnf(c_6,plain,
    meet(A,B) = complement(join(complement(A),complement(B))),
    inference(clausify,[status(thm)],[maddux4_definiton_of_meet_4]) ).

fof(composition_distributivity_7,axiom,
    ! [VAR_0,VAR_1,VAR_2] : composition(join(VAR_0,VAR_1),VAR_2) = join(composition(VAR_0,VAR_2),composition(VAR_1,VAR_2)),
    file('theBenchmark.p',composition_distributivity_7) ).

cnf(c_10,plain,
    composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
    inference(clausify,[status(thm)],[composition_distributivity_7]) ).

cnf(c_11,plain,
    join(composition(A,B),composition(C,B)) = composition(join(A,C),B),
    inference(copy,[status(thm)],[c_10]) ).

fof(converse_idempotence_8,axiom,
    ! [VAR_0] : converse(converse(VAR_0)) = VAR_0,
    file('theBenchmark.p',converse_idempotence_8) ).

cnf(c_12,plain,
    converse(converse(A)) = A,
    inference(clausify,[status(thm)],[converse_idempotence_8]) ).

fof(converse_additivity_9,axiom,
    ! [VAR_0,VAR_1] : converse(join(VAR_0,VAR_1)) = join(converse(VAR_0),converse(VAR_1)),
    file('theBenchmark.p',converse_additivity_9) ).

cnf(c_13,plain,
    converse(join(A,B)) = join(converse(A),converse(B)),
    inference(clausify,[status(thm)],[converse_additivity_9]) ).

cnf(c_14,plain,
    join(converse(A),converse(B)) = converse(join(A,B)),
    inference(copy,[status(thm)],[c_13]) ).

fof(converse_multiplicativity_10,axiom,
    ! [VAR_0,VAR_1] : converse(composition(VAR_0,VAR_1)) = composition(converse(VAR_1),converse(VAR_0)),
    file('theBenchmark.p',converse_multiplicativity_10) ).

cnf(c_15,plain,
    converse(composition(A,B)) = composition(converse(B),converse(A)),
    inference(clausify,[status(thm)],[converse_multiplicativity_10]) ).

cnf(c_16,plain,
    composition(converse(A),converse(B)) = converse(composition(B,A)),
    inference(copy,[status(thm)],[c_15]) ).

fof(def_top_12,axiom,
    ! [VAR_0] : top = join(VAR_0,complement(VAR_0)),
    file('theBenchmark.p',def_top_12) ).

cnf(c_19,plain,
    top = join(A,complement(A)),
    inference(clausify,[status(thm)],[def_top_12]) ).

cnf(c_20,plain,
    join(A,complement(A)) = top,
    inference(copy,[status(thm)],[c_19]) ).

fof(def_zero_13,axiom,
    ! [VAR_0] : zero = meet(VAR_0,complement(VAR_0)),
    file('theBenchmark.p',def_zero_13) ).

cnf(c_21,plain,
    zero = meet(A,complement(A)),
    inference(clausify,[status(thm)],[def_zero_13]) ).

cnf(c_3605,plain,
    zero = complement(join(complement(A),complement(complement(A)))),
    inference(paramod,[status(thm)],[c_6,c_21]) ).

cnf(c_3606,plain,
    zero = complement(top),
    inference(paramod,[status(thm)],[c_20,c_3605]) ).

cnf(c_22,plain,
    complement(top) = zero,
    inference(copy,[status(thm)],[c_3606]) ).

fof(goals_17,axiom,
    ( join(join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2)),composition(sk1,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3))
    | join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) != composition(sk1,join(sk2,sk3)) ),
    file('theBenchmark.p',goals_17) ).

cnf(c_29,plain,
    ( join(join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2)),composition(sk1,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3))
    | join(join(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,join(sk2,sk3))) != composition(sk1,join(sk2,sk3)) ),
    inference(clausify,[status(thm)],[goals_17]) ).

cnf(c_3607,plain,
    ( join(join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2)),composition(sk1,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3))
    | join(composition(sk1,join(sk2,sk3)),join(composition(sk1,sk2),composition(sk1,sk3))) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_1,c_29]) ).

cnf(c_3608,plain,
    ( join(join(composition(sk1,sk2),composition(sk1,join(sk2,sk3))),composition(sk1,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3))
    | join(composition(sk1,join(sk2,sk3)),join(composition(sk1,sk2),composition(sk1,sk3))) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_1,c_3607]) ).

cnf(c_30,plain,
    ( join(composition(sk1,sk3),join(composition(sk1,sk2),composition(sk1,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | join(composition(sk1,join(sk2,sk3)),join(composition(sk1,sk2),composition(sk1,sk3))) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_1,c_3608]) ).

cnf(c_31,plain,
    join(A,join(B,C)) = join(C,join(A,B)),
    inference(paramod,[status(thm)],[c_3,c_1]) ).

cnf(c_3609,plain,
    join(join(A,B),C) = join(B,join(A,C)),
    inference(paramod,[status(thm)],[c_1,c_3]) ).

cnf(c_32,plain,
    join(A,join(B,C)) = join(B,join(A,C)),
    inference(paramod,[status(thm)],[c_3,c_3609]) ).

cnf(c_3610,plain,
    ( join(composition(sk1,sk3),join(composition(sk1,sk2),composition(sk1,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | join(composition(sk1,sk3),join(composition(sk1,join(sk2,sk3)),composition(sk1,sk2))) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_31,c_30]) ).

cnf(c_3611,plain,
    ( join(composition(sk1,sk3),join(composition(sk1,sk2),composition(sk1,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | join(composition(sk1,sk3),join(composition(sk1,sk2),composition(sk1,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_1,c_3610]) ).

cnf(c_3612,plain,
    ( join(composition(sk1,sk3),join(composition(sk1,sk2),composition(sk1,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_32,c_3611]) ).

cnf(c_33,plain,
    ( join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_32,c_3612]) ).

cnf(c_34,plain,
    join(complement(join(A,complement(B))),complement(join(complement(B),complement(A)))) = B,
    inference(paramod,[status(thm)],[c_1,c_5]) ).

cnf(c_35,plain,
    join(complement(join(complement(A),B)),complement(join(complement(B),complement(A)))) = A,
    inference(paramod,[status(thm)],[c_1,c_5]) ).

cnf(c_3613,plain,
    join(A,converse(B)) = converse(join(converse(A),B)),
    inference(paramod,[status(thm)],[c_12,c_14]) ).

cnf(c_45,plain,
    converse(join(converse(A),B)) = join(A,converse(B)),
    inference(copy,[status(thm)],[c_3613]) ).

cnf(c_48,plain,
    join(converse(composition(A,B)),composition(C,converse(A))) = composition(join(converse(B),C),converse(A)),
    inference(paramod,[status(thm)],[c_16,c_11]) ).

cnf(c_3614,plain,
    composition(A,converse(B)) = converse(composition(B,converse(A))),
    inference(paramod,[status(thm)],[c_12,c_16]) ).

cnf(c_50,plain,
    converse(composition(A,converse(B))) = composition(B,converse(A)),
    inference(copy,[status(thm)],[c_3614]) ).

cnf(c_3615,plain,
    join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))) = A,
    inference(paramod,[status(thm)],[c_20,c_5]) ).

cnf(c_62,plain,
    join(zero,complement(join(complement(A),complement(complement(complement(A)))))) = A,
    inference(paramod,[status(thm)],[c_22,c_3615]) ).

cnf(c_67,plain,
    join(top,zero) = top,
    inference(paramod,[status(thm)],[c_22,c_20]) ).

cnf(c_3616,plain,
    join(top,A) = join(top,join(zero,A)),
    inference(paramod,[status(thm)],[c_67,c_3]) ).

cnf(c_104,plain,
    join(top,join(zero,A)) = join(top,A),
    inference(copy,[status(thm)],[c_3616]) ).

cnf(c_3617,plain,
    join(top,top) = join(top,complement(zero)),
    inference(paramod,[status(thm)],[c_20,c_104]) ).

cnf(c_109,plain,
    join(top,complement(zero)) = join(top,top),
    inference(copy,[status(thm)],[c_3617]) ).

cnf(c_3618,plain,
    join(complement(join(top,top)),complement(join(complement(zero),complement(top)))) = zero,
    inference(paramod,[status(thm)],[c_109,c_34]) ).

cnf(c_3619,plain,
    join(complement(join(top,top)),complement(join(complement(zero),zero))) = zero,
    inference(paramod,[status(thm)],[c_22,c_3618]) ).

cnf(c_3620,plain,
    join(complement(join(top,top)),complement(join(zero,complement(zero)))) = zero,
    inference(paramod,[status(thm)],[c_1,c_3619]) ).

cnf(c_3621,plain,
    join(complement(join(top,top)),complement(top)) = zero,
    inference(paramod,[status(thm)],[c_20,c_3620]) ).

cnf(c_3622,plain,
    join(complement(join(top,top)),zero) = zero,
    inference(paramod,[status(thm)],[c_22,c_3621]) ).

cnf(c_125,plain,
    join(zero,complement(join(top,top))) = zero,
    inference(paramod,[status(thm)],[c_1,c_3622]) ).

cnf(c_3623,plain,
    join(zero,A) = join(zero,join(complement(join(top,top)),A)),
    inference(paramod,[status(thm)],[c_125,c_3]) ).

cnf(c_127,plain,
    join(zero,join(complement(join(top,top)),A)) = join(zero,A),
    inference(copy,[status(thm)],[c_3623]) ).

cnf(c_3624,plain,
    join(top,zero) = join(top,complement(join(top,top))),
    inference(paramod,[status(thm)],[c_125,c_104]) ).

cnf(c_3625,plain,
    top = join(top,complement(join(top,top))),
    inference(paramod,[status(thm)],[c_67,c_3624]) ).

cnf(c_129,plain,
    join(top,complement(join(top,top))) = top,
    inference(copy,[status(thm)],[c_3625]) ).

cnf(c_3626,plain,
    join(complement(top),complement(join(complement(join(top,top)),complement(top)))) = join(top,top),
    inference(paramod,[status(thm)],[c_129,c_34]) ).

cnf(c_3627,plain,
    join(zero,complement(join(complement(join(top,top)),complement(top)))) = join(top,top),
    inference(paramod,[status(thm)],[c_22,c_3626]) ).

cnf(c_3628,plain,
    join(zero,complement(join(complement(join(top,top)),zero))) = join(top,top),
    inference(paramod,[status(thm)],[c_22,c_3627]) ).

cnf(c_3629,plain,
    join(zero,complement(join(zero,complement(join(top,top))))) = join(top,top),
    inference(paramod,[status(thm)],[c_1,c_3628]) ).

cnf(c_3630,plain,
    join(zero,complement(zero)) = join(top,top),
    inference(paramod,[status(thm)],[c_125,c_3629]) ).

cnf(c_3631,plain,
    top = join(top,top),
    inference(paramod,[status(thm)],[c_20,c_3630]) ).

cnf(c_133,plain,
    join(top,top) = top,
    inference(copy,[status(thm)],[c_3631]) ).

cnf(c_3632,plain,
    join(zero,join(complement(top),A)) = join(zero,A),
    inference(paramod,[status(thm)],[c_133,c_127]) ).

cnf(c_135,plain,
    join(zero,join(zero,A)) = join(zero,A),
    inference(paramod,[status(thm)],[c_22,c_3632]) ).

cnf(c_3633,plain,
    join(complement(join(complement(complement(A)),A)),complement(top)) = complement(A),
    inference(paramod,[status(thm)],[c_20,c_35]) ).

cnf(c_3634,plain,
    join(complement(join(A,complement(complement(A)))),complement(top)) = complement(A),
    inference(paramod,[status(thm)],[c_1,c_3633]) ).

cnf(c_3635,plain,
    join(complement(join(A,complement(complement(A)))),zero) = complement(A),
    inference(paramod,[status(thm)],[c_22,c_3634]) ).

cnf(c_150,plain,
    join(zero,complement(join(A,complement(complement(A))))) = complement(A),
    inference(paramod,[status(thm)],[c_1,c_3635]) ).

cnf(c_156,plain,
    complement(complement(A)) = A,
    inference(paramod,[status(thm)],[c_150,c_62]) ).

cnf(c_157,plain,
    join(zero,complement(join(A,A))) = complement(A),
    inference(paramod,[status(thm)],[c_156,c_150]) ).

cnf(c_3636,plain,
    join(zero,complement(A)) = join(zero,complement(join(A,A))),
    inference(paramod,[status(thm)],[c_157,c_135]) ).

cnf(c_188,plain,
    join(zero,complement(A)) = complement(A),
    inference(paramod,[status(thm)],[c_157,c_3636]) ).

cnf(c_3637,plain,
    join(zero,join(zero,complement(join(A,A)))) = complement(A),
    inference(paramod,[status(thm)],[c_157,c_135]) ).

cnf(c_3638,plain,
    join(zero,complement(join(A,A))) = complement(A),
    inference(paramod,[status(thm)],[c_188,c_3637]) ).

cnf(c_189,plain,
    complement(join(A,A)) = complement(A),
    inference(paramod,[status(thm)],[c_188,c_3638]) ).

cnf(c_3639,plain,
    complement(complement(A)) = join(A,A),
    inference(paramod,[status(thm)],[c_189,c_156]) ).

cnf(c_3640,plain,
    A = join(A,A),
    inference(paramod,[status(thm)],[c_156,c_3639]) ).

cnf(c_238,plain,
    join(A,A) = A,
    inference(copy,[status(thm)],[c_3640]) ).

cnf(c_3641,plain,
    join(A,B) = join(A,join(A,B)),
    inference(paramod,[status(thm)],[c_238,c_3]) ).

cnf(c_248,plain,
    join(A,join(A,B)) = join(A,B),
    inference(copy,[status(thm)],[c_3641]) ).

cnf(c_3642,plain,
    join(join(A,B),B) = join(A,B),
    inference(paramod,[status(thm)],[c_238,c_3]) ).

cnf(c_250,plain,
    join(A,join(B,A)) = join(B,A),
    inference(paramod,[status(thm)],[c_1,c_3642]) ).

cnf(c_3643,plain,
    join(converse(converse(composition(A,B))),converse(composition(C,converse(A)))) = converse(composition(join(converse(B),C),converse(A))),
    inference(paramod,[status(thm)],[c_48,c_14]) ).

cnf(c_3644,plain,
    join(composition(A,B),converse(composition(C,converse(A)))) = converse(composition(join(converse(B),C),converse(A))),
    inference(paramod,[status(thm)],[c_12,c_3643]) ).

cnf(c_3645,plain,
    join(composition(A,B),composition(A,converse(C))) = converse(composition(join(converse(B),C),converse(A))),
    inference(paramod,[status(thm)],[c_50,c_3644]) ).

cnf(c_3646,plain,
    join(composition(A,B),composition(A,converse(C))) = composition(A,converse(join(converse(B),C))),
    inference(paramod,[status(thm)],[c_50,c_3645]) ).

cnf(c_588,plain,
    join(composition(A,B),composition(A,converse(C))) = composition(A,join(B,converse(C))),
    inference(paramod,[status(thm)],[c_45,c_3646]) ).

cnf(c_3647,plain,
    join(composition(A,B),composition(A,C)) = composition(A,join(B,converse(converse(C)))),
    inference(paramod,[status(thm)],[c_12,c_588]) ).

cnf(c_3537,plain,
    join(composition(A,B),composition(A,C)) = composition(A,join(B,C)),
    inference(paramod,[status(thm)],[c_12,c_3647]) ).

cnf(c_3648,plain,
    ( join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | join(composition(sk1,sk2),composition(sk1,join(sk3,join(sk2,sk3)))) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_3537,c_33]) ).

cnf(c_3649,plain,
    ( join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | join(composition(sk1,sk2),composition(sk1,join(sk2,sk3))) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_250,c_3648]) ).

cnf(c_3650,plain,
    ( join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | composition(sk1,join(sk2,join(sk2,sk3))) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_3537,c_3649]) ).

cnf(c_3651,plain,
    ( join(composition(sk1,sk2),join(composition(sk1,sk3),composition(sk1,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_248,c_3650]) ).

cnf(c_3652,plain,
    ( join(composition(sk1,sk2),composition(sk1,join(sk3,join(sk2,sk3)))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_3537,c_3651]) ).

cnf(c_3653,plain,
    ( join(composition(sk1,sk2),composition(sk1,join(sk2,sk3))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_250,c_3652]) ).

cnf(c_3654,plain,
    ( composition(sk1,join(sk2,join(sk2,sk3))) != join(composition(sk1,sk2),composition(sk1,sk3))
    | composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_3537,c_3653]) ).

cnf(c_3655,plain,
    ( composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3))
    | composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_248,c_3654]) ).

cnf(c_3656,plain,
    ( composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3))
    | composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)) ),
    inference(paramod,[status(thm)],[c_3537,c_3655]) ).

cnf(c_3657,plain,
    composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)),
    inference(copy,[status(thm)],[c_3656]) ).

cnf(c_3603,plain,
    $false,
    inference(copy,[status(thm)],[c_3657]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : REL008-4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n004.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sat Sep 26 05:25:37 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.38  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.38  % Process 898725 was started by sandbox2 on n004,
% 0.10/0.38  % Sat Sep 26 05:25:37 2026
% 0.10/0.38  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/0.38  
% 0.14/0.38  % From the command line: assign(max_seconds, 300).
% 5.39/1.17  
% 5.39/1.17  % SZS status Unsatisfiable for theBenchmark
% 5.39/1.17  
% 5.39/1.17  % Proof 1 at 0.62 (+ 0.15) seconds.
% 5.39/1.17  % Length of proof is 47.
% 5.39/1.17  % Level of proof is 14.
% 5.39/1.17  % Maximum clause weight is 75.000.
% 5.39/1.17  % Given clauses 244.
% 5.39/1.17  
% 5.39/1.17  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------