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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : REL024+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n001.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 : Fri Sep 25 02:36:53 PM UTC 2026

% Result   : Theorem 226.67s 31.13s
% Output   : CNFRefutation 226.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   94 (  94 unt;   0 def)
%            Number of atoms       :   94 (  93 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   10 (  10   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :  152 (   0 sgn 149   !;   3   ?;  92   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).

fof(f2,axiom,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).

fof(f3,axiom,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).

fof(f4,axiom,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',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/Axioms/REL001+0.ax',composition_associativity) ).

fof(f6,axiom,
    ! [X0] : composition(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_identity) ).

fof(f7,axiom,
    ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).

fof(f8,axiom,
    ! [X0] : converse(converse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).

fof(f9,axiom,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).

fof(f10,axiom,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).

fof(f11,axiom,
    ! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).

fof(f12,axiom,
    ! [X0] : top = join(X0,complement(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).

fof(f13,axiom,
    ! [X0] : zero = meet(X0,complement(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).

fof(f17,conjecture,
    ! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)) = composition(meet(X0,converse(X1)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)) = composition(meet(X0,converse(X1)),X2),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f19,plain,
    ? [X0,X1,X2] : composition(meet(X0,converse(X1)),X2) != join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)),
    inference(ennf_transformation,[],[f18]) ).

fof(f20,plain,
    composition(meet(sK0,converse(sK1)),sK2) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(meet(sK0,converse(sK1)),sK2)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).

fof(f21,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f22,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(cnf_transformation,[],[f2]) ).

fof(f23,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f24,plain,
    ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    inference(cnf_transformation,[],[f4]) ).

fof(f25,plain,
    ! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X0] : composition(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f27,plain,
    ! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    inference(cnf_transformation,[],[f7]) ).

fof(f28,plain,
    ! [X0] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[],[f8]) ).

fof(f29,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(cnf_transformation,[],[f9]) ).

fof(f30,plain,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    inference(cnf_transformation,[],[f10]) ).

fof(f31,plain,
    ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
    inference(cnf_transformation,[],[f11]) ).

fof(f32,plain,
    ! [X0] : top = join(X0,complement(X0)),
    inference(cnf_transformation,[],[f12]) ).

fof(f33,plain,
    ! [X0] : zero = meet(X0,complement(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f37,plain,
    composition(meet(sK0,converse(sK1)),sK2) != join(composition(meet(sK0,converse(sK1)),meet(sK1,sK2)),composition(meet(sK0,converse(sK1)),sK2)),
    inference(cnf_transformation,[],[f20]) ).

fof(f38,plain,
    ! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
    inference(definition_unfolding,[],[f33,f24]) ).

fof(f42,plain,
    composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2) != join(composition(complement(join(complement(sK0),complement(converse(sK1)))),complement(join(complement(sK1),complement(sK2)))),composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2)),
    inference(definition_unfolding,[],[f37,f24,f24,f24,f24]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    inference(cnf_transformation,[],[f23]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_53,plain,
    ! [X0: $i] : composition(X0,one) = X0,
    inference(cnf_transformation,[],[f26]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_55,plain,
    ! [X0: $i] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[],[f28]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_59,plain,
    ! [X0: $i] : join(X0,complement(X0)) = top,
    inference(cnf_transformation,[],[f32]) ).

tcf(c_60,plain,
    ! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
    inference(cnf_transformation,[],[f38]) ).

tcf(c_64,negated_conjecture,
    join(composition(complement(join(complement(sK0),complement(converse(sK1)))),complement(join(complement(sK1),complement(sK2)))),composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2)) != composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_51,c_50,c_49]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
    inference(theory_normalisation,[status(thm)],[c_58,c_50,c_49]) ).

tcf(c_84,negated_conjecture,
    join(composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),composition(complement(join(complement(sK0),complement(converse(sK1)))),complement(join(complement(sK1),complement(sK2))))) != composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),
    inference(theory_normalisation,[status(thm)],[c_64,c_50,c_49]) ).

tcf(c_121,plain,
    complement(top) = zero,
    inference(demodulation,[status(thm)],[c_60,c_59]) ).

tcf(c_225,plain,
    ! [X0: $i,X1: $i] : join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)) = join(complement(X0),X1),
    inference(superposition,[status(thm)],[c_80,c_80]) ).

tcf(c_231,plain,
    ! [X0: $i,X1: $i] : join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))) = join(complement(X0),X1),
    inference(theory_normalisation,[status(thm)],[c_225,c_50,c_49]) ).

tcf(c_4887,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X2,X0),X1),
    inference(superposition,[status(thm)],[c_54,c_49]) ).

tcf(c_69605,plain,
    ! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(superposition,[status(thm)],[c_55,c_56]) ).

tcf(c_69616,plain,
    ! [X0: $i] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
    inference(superposition,[status(thm)],[c_59,c_80]) ).

tcf(c_69622,plain,
    ! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_69616,c_50,c_49]) ).

tcf(c_69623,plain,
    ! [X0: $i] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
    inference(demodulation,[status(thm)],[c_69622,c_121]) ).

tcf(c_69629,plain,
    ! [X0: $i,X1: $i] : composition(X0,composition(one,X1)) = composition(X0,X1),
    inference(superposition,[status(thm)],[c_53,c_52]) ).

tcf(c_69633,plain,
    ! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[status(thm)],[c_59,c_50]) ).

tcf(c_69647,plain,
    ! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[status(thm)],[c_55,c_57]) ).

tcf(c_69678,plain,
    ! [X0: $i,X1: $i,X2: $i] : composition(converse(X0),join(X1,converse(X2))) = converse(composition(join(converse(X1),X2),X0)),
    inference(superposition,[status(thm)],[c_69605,c_57]) ).

tcf(c_69900,plain,
    ! [X0: $i] : join(top,complement(complement(X0))) = join(X0,top),
    inference(superposition,[status(thm)],[c_59,c_69633]) ).

tcf(c_70014,plain,
    ! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_53,c_69647]) ).

tcf(c_70039,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(converse(X0),composition(converse(X1),X2)) = converse(join(X0,composition(converse(X2),X1))),
    inference(superposition,[status(thm)],[c_69647,c_56]) ).

tcf(c_70042,plain,
    ! [X0: $i] : composition(converse(one),X0) = X0,
    inference(demodulation,[status(thm)],[c_70014,c_55]) ).

tcf(c_70055,plain,
    converse(one) = one,
    inference(superposition,[status(thm)],[c_70042,c_53]) ).

tcf(c_70067,plain,
    ! [X0: $i] : composition(converse(one),X0) = composition(one,X0),
    inference(superposition,[status(thm)],[c_70042,c_69629]) ).

tcf(c_70068,plain,
    ! [X0: $i] : composition(one,X0) = X0,
    inference(demodulation,[status(thm)],[c_70067,c_70042]) ).

tcf(c_70294,plain,
    ! [X0: $i] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
    inference(superposition,[status(thm)],[c_70055,c_81]) ).

tcf(c_70303,plain,
    ! [X0: $i] : join(complement(X0),complement(X0)) = complement(X0),
    inference(demodulation,[status(thm)],[c_70294,c_70068]) ).

tcf(c_70310,plain,
    ! [X0: $i] : join(zero,complement(complement(X0))) = X0,
    inference(demodulation,[status(thm)],[c_69623,c_70303]) ).

tcf(c_70358,plain,
    ! [X0: $i] : join(X0,complement(X0)) = join(top,complement(X0)),
    inference(superposition,[status(thm)],[c_70303,c_69633]) ).

tcf(c_70367,plain,
    ! [X0: $i] : join(top,complement(X0)) = top,
    inference(demodulation,[status(thm)],[c_70358,c_59]) ).

tcf(c_70380,plain,
    ! [X0: $i] : join(X0,top) = top,
    inference(demodulation,[status(thm)],[c_69900,c_70367]) ).

tcf(c_70389,plain,
    ! [X0: $i] : join(top,X0) = top,
    inference(superposition,[status(thm)],[c_70380,c_49]) ).

tcf(c_70404,plain,
    ! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = top,
    inference(demodulation,[status(thm)],[c_69633,c_70389]) ).

tcf(c_70692,plain,
    ! [X0: $i] : join(complement(X0),complement(X0)) = join(complement(X0),complement(top)),
    inference(superposition,[status(thm)],[c_70404,c_231]) ).

tcf(c_70697,plain,
    ! [X0: $i] : join(zero,complement(X0)) = complement(X0),
    inference(demodulation,[status(thm)],[c_70692,c_49,c_121,c_70303]) ).

tcf(c_70711,plain,
    ! [X0: $i] : complement(complement(X0)) = X0,
    inference(demodulation,[status(thm)],[c_70310,c_70697]) ).

tcf(c_70714,plain,
    ! [X0: $i] : join(X0,X0) = X0,
    inference(superposition,[status(thm)],[c_70711,c_70303]) ).

tcf(c_70719,plain,
    ! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
    inference(superposition,[status(thm)],[c_70711,c_80]) ).

tcf(c_70908,plain,
    ! [X0: $i,X1: $i] : join(X0,join(X0,X1)) = join(X0,X1),
    inference(superposition,[status(thm)],[c_70714,c_50]) ).

tcf(c_72331,plain,
    ! [X0: $i,X1: $i] : join(X0,join(X1,X0)) = join(X1,X0),
    inference(superposition,[status(thm)],[c_49,c_70908]) ).

tcf(c_72356,plain,
    ! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(X0)) = complement(X0),
    inference(superposition,[status(thm)],[c_70719,c_70908]) ).

tcf(c_72385,plain,
    ! [X0: $i,X1: $i] : join(complement(X0),complement(join(X0,X1))) = complement(X0),
    inference(theory_normalisation,[status(thm)],[c_72356,c_50,c_49]) ).

tcf(c_72471,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,X1)),composition(X2,converse(X0))) = composition(join(X2,converse(X1)),converse(X0)),
    inference(superposition,[status(thm)],[c_57,c_4887]) ).

tcf(c_72554,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(converse(converse(composition(X0,X1))),composition(converse(converse(X0)),X2)) = converse(composition(join(converse(X2),converse(X1)),converse(X0))),
    inference(superposition,[status(thm)],[c_72471,c_70039]) ).

tcf(c_72570,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X0,X2)) = composition(X0,join(X2,X1)),
    inference(demodulation,[status(thm)],[c_72554,c_55,c_69678]) ).

tcf(c_72586,plain,
    composition(complement(join(complement(sK0),complement(converse(sK1)))),join(complement(join(complement(sK1),complement(sK2))),sK2)) != composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),
    inference(demodulation,[status(thm)],[c_84,c_72570]) ).

tcf(c_72587,plain,
    composition(complement(join(complement(sK0),complement(converse(sK1)))),join(sK2,complement(join(complement(sK1),complement(sK2))))) != composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),
    inference(theory_normalisation,[status(thm)],[c_72586,c_50,c_49]) ).

tcf(c_77306,plain,
    ! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),X1))) = X0,
    inference(superposition,[status(thm)],[c_70711,c_72385]) ).

tcf(c_77481,plain,
    ! [X0: $i,X1: $i] : join(X0,complement(join(X1,complement(X0)))) = X0,
    inference(superposition,[status(thm)],[c_72331,c_77306]) ).

tcf(c_77584,plain,
    composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2) != composition(complement(join(complement(sK0),complement(converse(sK1)))),sK2),
    inference(demodulation,[status(thm)],[c_72587,c_77481]) ).

tcf(c_77585,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_77584]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : REL024+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.35  % Computer : n001.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Thu Sep 24 07:24:52 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.40  Running first-order theorem proving
% 0.15/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41  
% 0.15/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.41  
% 0.15/0.41  % Detected problem language: tptp
% 0.15/0.43  % Proving...
% 226.67/31.13  % SZS status Started for theBenchmark.p
% 226.67/31.13  % SZS status Theorem for theBenchmark.p
% 226.67/31.13  
% 226.67/31.13  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 226.67/31.13  
% 226.67/31.13  % ------  iProver source info
% 226.67/31.13  
% 226.67/31.13  % git: date: 2026-07-19 20:42:38 +0200
% 226.67/31.13  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 226.67/31.13  % git: non_committed_changes: false
% 226.67/31.13  
% 226.67/31.13  % ------ Parsing...
% 226.67/31.13  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 226.67/31.13  
% 226.67/31.13  % ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 226.67/31.13  
% 226.67/31.13  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 226.67/31.13  
% 226.67/31.13  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 226.67/31.13  % ------ Proving...
% 226.67/31.13  % ------ Problem Properties 
% 226.67/31.13  
% 226.67/31.13  % 
% 226.67/31.13  % clauses                               16
% 226.67/31.13  % conjectures                           1
% 226.67/31.13  % EPR                                   0
% 226.67/31.13  % Horn                                  16
% 226.67/31.13  % unary                                 16
% 226.67/31.13  % binary                                0
% 226.67/31.13  % lits                                  16
% 226.67/31.13  % lits eq                               16
% 226.67/31.13  % fd_pure                               0
% 226.67/31.13  % fd_pseudo                             0
% 226.67/31.13  % fd_cond                               0
% 226.67/31.13  % fd_pseudo_cond                        0
% 226.67/31.13  % AC symbols                            1
% 226.67/31.13  
% 226.67/31.13  % ------ Input Options Time Limit: Unbounded
% 226.67/31.13  
% 226.67/31.13  
% 226.67/31.13  % ------ 
% 226.67/31.13  % Current options:
% 226.67/31.13  % ------ 
% 226.67/31.13  
% 226.67/31.13  
% 226.67/31.13  % 
% 226.67/31.13  
% 226.67/31.13  % ------ Proving...
% 226.67/31.13  % 
% 226.67/31.13  
% 226.67/31.13  % SZS status Theorem for theBenchmark.p
% 226.67/31.13  
% 226.67/31.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 226.67/31.13  
% 226.67/31.13  
%------------------------------------------------------------------------------