TSTP Solution File: REL005+4 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : REL005+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 : Thu Aug 31 13:40:36 EDT 2023

% Result   : Theorem 53.74s 8.24s
% Output   : CNFRefutation 53.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  102 (  91 unt;   0 def)
%            Number of atoms       :  115 ( 114 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  22   ~;  10   |;   2   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    9 (   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   :  134 (   4 sgn;  49   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).

fof(f2,axiom,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).

fof(f3,axiom,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).

fof(f4,axiom,
    ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).

fof(f5,axiom,
    ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).

fof(f6,axiom,
    ! [X0] : composition(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).

fof(f8,axiom,
    ! [X0] : converse(converse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).

fof(f9,axiom,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).

fof(f10,axiom,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).

fof(f11,axiom,
    ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).

fof(f12,axiom,
    ! [X0] : top = join(X0,complement(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).

fof(f13,axiom,
    ! [X0] : zero = meet(X0,complement(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).

fof(f17,conjecture,
    ! [X0,X1] :
      ( converse(meet(X0,X1)) = join(meet(converse(X0),converse(X1)),converse(meet(X0,X1)))
      & meet(converse(X0),converse(X1)) = join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X1] :
        ( converse(meet(X0,X1)) = join(meet(converse(X0),converse(X1)),converse(meet(X0,X1)))
        & meet(converse(X0),converse(X1)) = join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f19,plain,
    ? [X0,X1] :
      ( converse(meet(X0,X1)) != join(meet(converse(X0),converse(X1)),converse(meet(X0,X1)))
      | meet(converse(X0),converse(X1)) != join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f20,plain,
    ( ? [X0,X1] :
        ( converse(meet(X0,X1)) != join(meet(converse(X0),converse(X1)),converse(meet(X0,X1)))
        | meet(converse(X0),converse(X1)) != join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) )
   => ( converse(meet(sK0,sK1)) != join(meet(converse(sK0),converse(sK1)),converse(meet(sK0,sK1)))
      | meet(converse(sK0),converse(sK1)) != join(converse(meet(sK0,sK1)),meet(converse(sK0),converse(sK1))) ) ),
    introduced(choice_axiom,[]) ).

fof(f21,plain,
    ( converse(meet(sK0,sK1)) != join(meet(converse(sK0),converse(sK1)),converse(meet(sK0,sK1)))
    | meet(converse(sK0),converse(sK1)) != join(converse(meet(sK0,sK1)),meet(converse(sK0),converse(sK1))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f19,f20]) ).

fof(f22,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f23,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(cnf_transformation,[],[f2]) ).

fof(f24,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f25,plain,
    ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    inference(cnf_transformation,[],[f4]) ).

fof(f26,plain,
    ! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X0] : composition(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ! [X0] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[],[f8]) ).

fof(f30,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(cnf_transformation,[],[f9]) ).

fof(f31,plain,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    inference(cnf_transformation,[],[f10]) ).

fof(f32,plain,
    ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
    inference(cnf_transformation,[],[f11]) ).

fof(f33,plain,
    ! [X0] : top = join(X0,complement(X0)),
    inference(cnf_transformation,[],[f12]) ).

fof(f34,plain,
    ! [X0] : zero = meet(X0,complement(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f38,plain,
    ( converse(meet(sK0,sK1)) != join(meet(converse(sK0),converse(sK1)),converse(meet(sK0,sK1)))
    | meet(converse(sK0),converse(sK1)) != join(converse(meet(sK0,sK1)),meet(converse(sK0),converse(sK1))) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f39,plain,
    ! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
    inference(definition_unfolding,[],[f34,f25]) ).

fof(f43,plain,
    ( converse(complement(join(complement(sK0),complement(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),converse(complement(join(complement(sK0),complement(sK1)))))
    | complement(join(complement(converse(sK0)),complement(converse(sK1)))) != join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) ),
    inference(definition_unfolding,[],[f38,f25,f25,f25,f25,f25,f25]) ).

cnf(c_49,plain,
    join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_50,plain,
    join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    inference(cnf_transformation,[],[f23]) ).

cnf(c_51,plain,
    join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    inference(cnf_transformation,[],[f24]) ).

cnf(c_52,plain,
    composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_53,plain,
    composition(X0,one) = X0,
    inference(cnf_transformation,[],[f27]) ).

cnf(c_55,plain,
    converse(converse(X0)) = X0,
    inference(cnf_transformation,[],[f29]) ).

cnf(c_56,plain,
    join(converse(X0),converse(X1)) = converse(join(X0,X1)),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_57,plain,
    composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_58,plain,
    join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_59,plain,
    join(X0,complement(X0)) = top,
    inference(cnf_transformation,[],[f33]) ).

cnf(c_60,plain,
    complement(join(complement(X0),complement(complement(X0)))) = zero,
    inference(cnf_transformation,[],[f39]) ).

cnf(c_64,negated_conjecture,
    ( join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),converse(complement(join(complement(sK0),complement(sK1))))) != converse(complement(join(complement(sK0),complement(sK1))))
    | join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != complement(join(complement(converse(sK0)),complement(converse(sK1)))) ),
    inference(cnf_transformation,[],[f43]) ).

cnf(c_80,plain,
    join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_51,c_50,c_49]) ).

cnf(c_81,plain,
    join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
    inference(theory_normalisation,[status(thm)],[c_58,c_50,c_49]) ).

cnf(c_84,negated_conjecture,
    ( join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != complement(join(complement(converse(sK0)),complement(converse(sK1))))
    | join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != converse(complement(join(complement(sK0),complement(sK1)))) ),
    inference(theory_normalisation,[status(thm)],[c_64,c_50,c_49]) ).

cnf(c_123,plain,
    complement(top) = zero,
    inference(ac_demodulation,[status(thm)],[c_60,c_59,c_50,c_49]) ).

cnf(c_204,plain,
    join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_209,plain,
    join(top,zero) = top,
    inference(superposition,[status(thm)],[c_123,c_59]) ).

cnf(c_212,plain,
    converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(superposition,[status(thm)],[c_55,c_56]) ).

cnf(c_213,plain,
    converse(join(X0,converse(X1))) = join(converse(X0),X1),
    inference(superposition,[status(thm)],[c_55,c_56]) ).

cnf(c_225,plain,
    join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
    inference(superposition,[status(thm)],[c_59,c_80]) ).

cnf(c_231,plain,
    join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_225,c_50,c_49]) ).

cnf(c_232,plain,
    join(zero,complement(join(complement(X0),complement(X0)))) = X0,
    inference(light_normalisation,[status(thm)],[c_231,c_123]) ).

cnf(c_245,plain,
    converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[status(thm)],[c_55,c_57]) ).

cnf(c_250,plain,
    join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[status(thm)],[c_59,c_50]) ).

cnf(c_252,plain,
    join(top,join(zero,X0)) = join(top,X0),
    inference(superposition,[status(thm)],[c_209,c_50]) ).

cnf(c_260,plain,
    composition(X0,composition(one,X1)) = composition(X0,X1),
    inference(superposition,[status(thm)],[c_53,c_52]) ).

cnf(c_302,plain,
    join(top,join(X0,zero)) = join(top,X0),
    inference(superposition,[status(thm)],[c_49,c_252]) ).

cnf(c_337,plain,
    join(X0,converse(complement(converse(X0)))) = converse(top),
    inference(superposition,[status(thm)],[c_59,c_212]) ).

cnf(c_390,plain,
    join(complement(converse(top)),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
    inference(superposition,[status(thm)],[c_337,c_80]) ).

cnf(c_408,plain,
    converse(join(converse(X0),X1)) = join(converse(X1),X0),
    inference(superposition,[status(thm)],[c_49,c_213]) ).

cnf(c_860,plain,
    composition(converse(one),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_53,c_245]) ).

cnf(c_884,plain,
    composition(converse(one),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_860,c_55]) ).

cnf(c_944,plain,
    join(complement(X0),complement(composition(one,X0))) = complement(X0),
    inference(superposition,[status(thm)],[c_884,c_81]) ).

cnf(c_947,plain,
    composition(converse(one),X0) = composition(one,X0),
    inference(superposition,[status(thm)],[c_884,c_260]) ).

cnf(c_950,plain,
    composition(one,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_947,c_884]) ).

cnf(c_1256,plain,
    join(top,join(X0,zero)) = join(X0,top),
    inference(superposition,[status(thm)],[c_209,c_204]) ).

cnf(c_1367,plain,
    join(top,complement(complement(X0))) = join(X0,top),
    inference(superposition,[status(thm)],[c_59,c_250]) ).

cnf(c_1948,plain,
    join(complement(X0),complement(X0)) = complement(X0),
    inference(light_normalisation,[status(thm)],[c_944,c_950]) ).

cnf(c_1949,plain,
    join(zero,complement(complement(X0))) = X0,
    inference(demodulation,[status(thm)],[c_232,c_1948]) ).

cnf(c_1951,plain,
    join(zero,zero) = zero,
    inference(superposition,[status(thm)],[c_123,c_1948]) ).

cnf(c_1957,plain,
    join(X0,complement(X0)) = join(top,complement(X0)),
    inference(superposition,[status(thm)],[c_1948,c_250]) ).

cnf(c_1967,plain,
    join(top,complement(X0)) = top,
    inference(light_normalisation,[status(thm)],[c_1957,c_59]) ).

cnf(c_1978,plain,
    join(X0,top) = top,
    inference(demodulation,[status(thm)],[c_1367,c_1967]) ).

cnf(c_1981,plain,
    join(top,join(X0,zero)) = top,
    inference(demodulation,[status(thm)],[c_1256,c_1978]) ).

cnf(c_1982,plain,
    join(top,X0) = top,
    inference(demodulation,[status(thm)],[c_302,c_1981]) ).

cnf(c_2100,plain,
    join(zero,join(zero,X0)) = join(zero,X0),
    inference(superposition,[status(thm)],[c_1951,c_50]) ).

cnf(c_2262,plain,
    converse(top) = top,
    inference(superposition,[status(thm)],[c_1982,c_337]) ).

cnf(c_2322,plain,
    join(zero,X0) = X0,
    inference(superposition,[status(thm)],[c_1949,c_2100]) ).

cnf(c_2326,plain,
    complement(complement(X0)) = X0,
    inference(demodulation,[status(thm)],[c_1949,c_2322]) ).

cnf(c_2444,plain,
    join(X0,X0) = X0,
    inference(superposition,[status(thm)],[c_2326,c_1948]) ).

cnf(c_21673,plain,
    join(zero,complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
    inference(light_normalisation,[status(thm)],[c_390,c_123,c_2262]) ).

cnf(c_21674,plain,
    complement(join(complement(X0),complement(converse(complement(converse(complement(X0))))))) = X0,
    inference(demodulation,[status(thm)],[c_21673,c_2322]) ).

cnf(c_21680,plain,
    complement(join(X0,complement(converse(complement(converse(X0)))))) = complement(X0),
    inference(superposition,[status(thm)],[c_2326,c_21674]) ).

cnf(c_24080,plain,
    join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)),
    inference(superposition,[status(thm)],[c_21680,c_2326]) ).

cnf(c_24104,plain,
    join(X0,complement(converse(complement(converse(X0))))) = X0,
    inference(light_normalisation,[status(thm)],[c_24080,c_2326]) ).

cnf(c_24407,plain,
    join(X0,converse(complement(converse(complement(converse(converse(X0))))))) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_24104,c_212]) ).

cnf(c_24457,plain,
    join(X0,converse(complement(converse(complement(X0))))) = X0,
    inference(light_normalisation,[status(thm)],[c_24407,c_55]) ).

cnf(c_24618,plain,
    join(complement(X0),converse(complement(converse(X0)))) = complement(X0),
    inference(superposition,[status(thm)],[c_2326,c_24457]) ).

cnf(c_26359,plain,
    join(complement(converse(X0)),converse(complement(X0))) = complement(converse(X0)),
    inference(superposition,[status(thm)],[c_55,c_24618]) ).

cnf(c_27609,plain,
    join(converse(complement(converse(X0))),complement(X0)) = converse(complement(converse(X0))),
    inference(superposition,[status(thm)],[c_26359,c_213]) ).

cnf(c_27626,plain,
    join(complement(X0),converse(complement(converse(X0)))) = converse(complement(converse(X0))),
    inference(theory_normalisation,[status(thm)],[c_27609,c_50,c_49]) ).

cnf(c_27627,plain,
    converse(complement(converse(X0))) = complement(X0),
    inference(light_normalisation,[status(thm)],[c_27626,c_24618]) ).

cnf(c_27909,plain,
    join(converse(X0),complement(converse(X1))) = converse(join(complement(X1),X0)),
    inference(superposition,[status(thm)],[c_27627,c_408]) ).

cnf(c_27916,plain,
    complement(converse(X0)) = converse(complement(X0)),
    inference(superposition,[status(thm)],[c_27627,c_55]) ).

cnf(c_27955,plain,
    ( join(complement(converse(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != complement(join(complement(converse(sK0)),complement(converse(sK1))))
    | join(complement(converse(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != complement(converse(join(complement(sK0),complement(sK1)))) ),
    inference(demodulation,[status(thm)],[c_84,c_27916]) ).

cnf(c_219844,plain,
    join(complement(converse(X0)),complement(converse(X1))) = converse(join(complement(X1),complement(X0))),
    inference(superposition,[status(thm)],[c_27916,c_27909]) ).

cnf(c_220024,plain,
    ( join(complement(converse(join(complement(sK0),complement(sK1)))),complement(converse(join(complement(sK1),complement(sK0))))) != complement(converse(join(complement(sK0),complement(sK1))))
    | join(complement(converse(join(complement(sK0),complement(sK1)))),complement(converse(join(complement(sK1),complement(sK0))))) != complement(converse(join(complement(sK1),complement(sK0)))) ),
    inference(demodulation,[status(thm)],[c_27955,c_219844]) ).

cnf(c_220025,plain,
    join(complement(converse(join(complement(sK0),complement(sK1)))),complement(converse(join(complement(sK0),complement(sK1))))) != complement(converse(join(complement(sK0),complement(sK1)))),
    inference(theory_normalisation,[status(thm)],[c_220024,c_50,c_49]) ).

cnf(c_220026,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_220025,c_2444]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : REL005+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Aug 25 22:29:12 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 53.74/8.24  % SZS status Started for theBenchmark.p
% 53.74/8.24  % SZS status Theorem for theBenchmark.p
% 53.74/8.24  
% 53.74/8.24  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 53.74/8.24  
% 53.74/8.24  ------  iProver source info
% 53.74/8.24  
% 53.74/8.24  git: date: 2023-05-31 18:12:56 +0000
% 53.74/8.24  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 53.74/8.24  git: non_committed_changes: false
% 53.74/8.24  git: last_make_outside_of_git: false
% 53.74/8.24  
% 53.74/8.24  ------ Parsing...
% 53.74/8.24  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 53.74/8.24  
% 53.74/8.24  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 53.74/8.24  
% 53.74/8.24  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 53.74/8.24  
% 53.74/8.24  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 53.74/8.24  ------ Proving...
% 53.74/8.24  ------ Problem Properties 
% 53.74/8.24  
% 53.74/8.24  
% 53.74/8.24  clauses                                 16
% 53.74/8.24  conjectures                             1
% 53.74/8.24  EPR                                     0
% 53.74/8.24  Horn                                    16
% 53.74/8.24  unary                                   15
% 53.74/8.24  binary                                  1
% 53.74/8.24  lits                                    17
% 53.74/8.24  lits eq                                 17
% 53.74/8.24  fd_pure                                 0
% 53.74/8.24  fd_pseudo                               0
% 53.74/8.24  fd_cond                                 0
% 53.74/8.24  fd_pseudo_cond                          0
% 53.74/8.24  AC symbols                              1
% 53.74/8.24  
% 53.74/8.24  ------ Schedule dynamic 5 is on 
% 53.74/8.24  
% 53.74/8.24  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 53.74/8.24  
% 53.74/8.24  
% 53.74/8.24  ------ 
% 53.74/8.24  Current options:
% 53.74/8.24  ------ 
% 53.74/8.24  
% 53.74/8.24  
% 53.74/8.24  
% 53.74/8.24  
% 53.74/8.24  ------ Proving...
% 53.74/8.24  
% 53.74/8.24  
% 53.74/8.24  % SZS status Theorem for theBenchmark.p
% 53.74/8.24  
% 53.74/8.24  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 53.74/8.24  
% 53.74/8.24  
%------------------------------------------------------------------------------