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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : BOO075-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n010.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 01:00:21 PM UTC 2026

% Result   : Unsatisfiable 7.91s 11.80s
% Output   : CNFRefutation 7.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   62 (  62 unt;   0 def)
%            Number of atoms       :   62 (  61 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :   11 (   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    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :  125 (   0 sgn 125   !;   0   ?; 122   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,nand(X2,X0))) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sh_1) ).

fof(f2,negated_conjecture,
    nand(nand(a,a),nand(b,a)) != a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_meredith_2_basis_1) ).

fof(f3,plain,
    a != nand(nand(a,a),nand(b,a)),
    inference(reorient_equations,[],[f2]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i,X2: $i] : nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,nand(X2,X0))) = X1,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_52,negated_conjecture,
    nand(nand(a,a),nand(b,a)) != a,
    inference(cnf_transformation,[],[f3]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : nand(nand(nand(X0,nand(X1,X2)),nand(X0,nand(X0,nand(X1,X2)))),nand(nand(X2,nand(nand(X0,X2),X2)),nand(X3,nand(X0,nand(X1,X2))))) = nand(X2,nand(nand(X0,X2),X2)),
    inference(superposition,[status(thm)],[c_51,c_51]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : nand(nand(nand(X0,nand(X1,X2)),nand(nand(X3,nand(X0,nand(X1,X2))),nand(X0,nand(X1,X2)))),nand(X3,X0)) = X3,
    inference(superposition,[status(thm)],[c_51,c_51]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i] : nand(nand(nand(X0,X1),nand(nand(nand(X1,nand(nand(X2,X1),X1)),nand(X0,X1)),nand(X0,X1))),X2) = nand(X1,nand(nand(X2,X1),X1)),
    inference(superposition,[status(thm)],[c_51,c_51]) ).

tcf(c_85,plain,
    ! [X0: $i,X1: $i,X2: $i] : nand(nand(nand(X0,X1),nand(nand(X2,nand(X0,X1)),nand(X0,X1))),nand(X2,X0)) = X2,
    inference(superposition,[status(thm)],[c_61,c_61]) ).

tcf(c_130,plain,
    ! [X0: $i,X1: $i,X2: $i] : nand(nand(X0,nand(nand(nand(nand(X0,X1),nand(nand(X2,nand(X0,X1)),nand(X0,X1))),X0),X0)),X2) = nand(nand(X0,X1),nand(nand(X2,nand(X0,X1)),nand(X0,X1))),
    inference(superposition,[status(thm)],[c_61,c_62]) ).

tcf(c_132,plain,
    ! [X0: $i,X1: $i,X2: $i] : nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,nand(X2,nand(nand(X0,X2),X2)))) = X1,
    inference(superposition,[status(thm)],[c_62,c_51]) ).

tcf(c_163,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : nand(nand(nand(X0,nand(X1,X2)),nand(X0,nand(X0,nand(X1,X2)))),nand(nand(X2,nand(nand(X0,X2),X2)),nand(X3,nand(nand(nand(X0,nand(X1,X2)),X3),X3)))) = nand(X2,nand(nand(X0,X2),X2)),
    inference(superposition,[status(thm)],[c_62,c_60]) ).

tcf(c_164,plain,
    ! [X0: $i,X1: $i,X2: $i] : nand(nand(nand(X0,nand(X1,X2)),nand(X0,nand(X0,nand(X1,X2)))),nand(nand(X2,nand(nand(X0,X2),X2)),X0)) = nand(X2,nand(nand(X0,X2),X2)),
    inference(superposition,[status(thm)],[c_61,c_60]) ).

tcf(c_353,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,nand(nand(nand(X1,nand(nand(X1,X1),X1)),X0),X0)),X1) = nand(X1,nand(nand(X1,X1),X1)),
    inference(superposition,[status(thm)],[c_51,c_132]) ).

tcf(c_354,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,nand(nand(nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,nand(X1,nand(nand(X1,X1),X1)))),X0),X0)),nand(X1,nand(nand(X1,X1),X1))) = nand(nand(X1,nand(nand(X1,X1),X1)),nand(X1,nand(X1,nand(nand(X1,X1),X1)))),
    inference(superposition,[status(thm)],[c_60,c_132]) ).

tcf(c_371,plain,
    ! [X0: $i,X1: $i] : nand(X0,nand(nand(X0,nand(nand(X0,X0),X0)),nand(X1,nand(X0,nand(nand(X0,X0),X0))))) = nand(X0,nand(nand(X0,X0),X0)),
    inference(superposition,[status(thm)],[c_132,c_60]) ).

tcf(c_373,plain,
    ! [X0: $i] : nand(X0,nand(nand(X0,X0),X0)) = nand(X0,X0),
    inference(superposition,[status(thm)],[c_132,c_60]) ).

tcf(c_576,plain,
    ! [X0: $i,X1: $i] : nand(nand(nand(X0,nand(X1,X0)),nand(X0,nand(X0,nand(X1,X0)))),X0) = nand(X0,nand(nand(X0,X0),X0)),
    inference(superposition,[status(thm)],[c_51,c_163]) ).

tcf(c_638,plain,
    ! [X0: $i,X1: $i] : nand(nand(nand(X0,nand(X1,X0)),nand(X0,nand(X0,nand(X1,X0)))),X0) = nand(X0,X0),
    inference(demodulation,[status(thm)],[c_576,c_373]) ).

tcf(c_639,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,nand(nand(nand(X1,X1),X0),X0)),X1) = nand(X1,X1),
    inference(demodulation,[status(thm)],[c_353,c_373]) ).

tcf(c_640,plain,
    ! [X0: $i,X1: $i] : nand(X0,nand(nand(X0,X0),nand(X1,nand(X0,X0)))) = nand(X0,X0),
    inference(demodulation,[status(thm)],[c_371,c_373]) ).

tcf(c_643,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,nand(nand(nand(nand(X1,X1),nand(X1,nand(X1,X1))),X0),X0)),nand(X1,X1)) = nand(nand(X1,X1),nand(X1,nand(X1,X1))),
    inference(demodulation,[status(thm)],[c_354,c_373]) ).

tcf(c_1293,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,X0),nand(X0,nand(X1,X0))) = X0,
    inference(superposition,[status(thm)],[c_373,c_51]) ).

tcf(c_1296,plain,
    ! [X0: $i] : nand(nand(X0,X0),nand(X0,X0)) = X0,
    inference(superposition,[status(thm)],[c_373,c_51]) ).

tcf(c_1394,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,X1)) = X1,
    inference(superposition,[status(thm)],[c_640,c_132]) ).

tcf(c_1534,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,nand(nand(nand(nand(X0,X0),nand(nand(nand(X0,X0),nand(X0,nand(X0,X0))),nand(X0,X0))),X0),X0)),nand(X1,nand(nand(nand(nand(X0,X0),nand(X0,nand(X0,X0))),X1),X1))) = nand(nand(X0,X0),nand(nand(nand(X0,X0),nand(X0,nand(X0,X0))),nand(X0,X0))),
    inference(superposition,[status(thm)],[c_643,c_130]) ).

tcf(c_1705,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,nand(nand(X0,X0),X0)),nand(X1,nand(nand(X0,X1),X1))) = X0,
    inference(demodulation,[status(thm)],[c_1534,c_1293]) ).

tcf(c_1706,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,X0),nand(X1,nand(nand(X0,X1),X1))) = X0,
    inference(demodulation,[status(thm)],[c_1705,c_373]) ).

tcf(c_2383,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,nand(nand(nand(nand(X0,nand(X1,X0)),nand(X0,nand(X0,nand(X1,X0)))),X0),X0)),nand(X0,X0)) = nand(nand(X0,nand(X1,X0)),nand(X0,nand(X0,nand(X1,X0)))),
    inference(superposition,[status(thm)],[c_1293,c_130]) ).

tcf(c_2445,plain,
    ! [X0: $i,X1: $i] : nand(nand(nand(X0,nand(nand(X1,X0),X0)),nand(X0,nand(X0,nand(nand(X1,X0),X0)))),nand(nand(X0,nand(nand(X0,X0),X0)),nand(nand(X1,X1),nand(X1,nand(X1,X1))))) = nand(X0,nand(nand(X0,X0),X0)),
    inference(superposition,[status(thm)],[c_1394,c_163]) ).

tcf(c_2450,plain,
    ! [X0: $i,X1: $i] : nand(X0,nand(X1,nand(nand(nand(X0,X0),X1),X1))) = nand(X0,X0),
    inference(superposition,[status(thm)],[c_1296,c_1706]) ).

tcf(c_2586,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,nand(X1,X0)),nand(X0,nand(X0,nand(X1,X0)))) = X0,
    inference(demodulation,[status(thm)],[c_2383,c_373,c_638,c_1296]) ).

tcf(c_2588,plain,
    ! [X0: $i,X1: $i] : nand(X0,nand(nand(X0,nand(nand(X0,X0),X0)),nand(nand(X1,X1),nand(X1,nand(X1,X1))))) = nand(X0,nand(nand(X0,X0),X0)),
    inference(demodulation,[status(thm)],[c_2445,c_2586]) ).

tcf(c_2589,plain,
    ! [X0: $i,X1: $i] : nand(X0,nand(nand(X0,X0),X1)) = nand(X0,X0),
    inference(demodulation,[status(thm)],[c_2588,c_373,c_1293]) ).

tcf(c_3210,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,X0),nand(X0,X1)) = X0,
    inference(superposition,[status(thm)],[c_1296,c_2589]) ).

tcf(c_3266,plain,
    ! [X0: $i,X1: $i] : nand(nand(nand(nand(nand(X0,X0),nand(X0,X0)),X1),nand(nand(nand(X0,X0),nand(X0,X0)),nand(nand(nand(X0,X0),nand(X0,X0)),X1))),X0) = nand(X0,X0),
    inference(superposition,[status(thm)],[c_2589,c_639]) ).

tcf(c_3280,plain,
    ! [X0: $i,X1: $i] : nand(X0,nand(nand(nand(nand(X0,X0),nand(X0,X0)),X1),nand(nand(nand(X0,X0),nand(X0,X0)),nand(nand(nand(X0,X0),nand(X0,X0)),X1)))) = nand(X0,X0),
    inference(superposition,[status(thm)],[c_2589,c_2450]) ).

tcf(c_3351,plain,
    ! [X0: $i] : nand(nand(X0,nand(nand(nand(X0,X0),X0),X0)),nand(X0,X0)) = X0,
    inference(superposition,[status(thm)],[c_2450,c_2586]) ).

tcf(c_3360,plain,
    ! [X0: $i,X1: $i] : nand(nand(nand(X0,X1),X0),nand(nand(X0,X1),nand(nand(X0,X1),X0))) = nand(X0,X1),
    inference(superposition,[status(thm)],[c_85,c_2586]) ).

tcf(c_3413,plain,
    ! [X0: $i,X1: $i] : nand(X0,nand(nand(X0,nand(X1,X0)),X0)) = nand(X0,nand(X1,X0)),
    inference(superposition,[status(thm)],[c_2586,c_2586]) ).

tcf(c_3522,plain,
    ! [X0: $i,X1: $i] : nand(X0,nand(nand(X0,X1),nand(X0,nand(X0,X1)))) = nand(X0,X0),
    inference(demodulation,[status(thm)],[c_3280,c_3210]) ).

tcf(c_3523,plain,
    ! [X0: $i,X1: $i] : nand(nand(nand(X0,X1),nand(X0,nand(X0,X1))),X0) = nand(X0,X0),
    inference(demodulation,[status(thm)],[c_3266,c_3210]) ).

tcf(c_3607,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,nand(nand(X0,X0),X0)),nand(nand(nand(X0,nand(nand(X0,X0),X0)),nand(X0,nand(X0,nand(nand(X0,X0),X0)))),X1)) = nand(nand(X0,nand(nand(X0,X0),X0)),nand(X0,nand(X0,nand(nand(X0,X0),X0)))),
    inference(superposition,[status(thm)],[c_60,c_3210]) ).

tcf(c_3659,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,nand(nand(nand(nand(X0,X1),nand(X0,nand(X0,X1))),X0),X0)),nand(X0,X0)) = nand(nand(X0,X1),nand(X0,nand(X0,X1))),
    inference(superposition,[status(thm)],[c_3210,c_130]) ).

tcf(c_3711,plain,
    ! [X0: $i,X1: $i] : nand(nand(nand(nand(X0,X0),nand(X1,X0)),nand(nand(X0,X0),nand(nand(X0,X0),nand(X1,X0)))),X0) = nand(X0,nand(nand(nand(X0,X0),X0),X0)),
    inference(superposition,[status(thm)],[c_3351,c_164]) ).

tcf(c_3718,plain,
    ! [X0: $i] : nand(X0,nand(nand(nand(X0,X0),X0),X0)) = nand(X0,nand(X0,X0)),
    inference(superposition,[status(thm)],[c_639,c_3413]) ).

tcf(c_3741,plain,
    ! [X0: $i,X1: $i] : nand(nand(nand(nand(X0,nand(X1,X0)),X0),nand(nand(X0,nand(X1,X0)),nand(nand(X0,nand(X1,X0)),X0))),nand(X0,X0)) = X0,
    inference(superposition,[status(thm)],[c_3413,c_1394]) ).

tcf(c_3774,plain,
    ! [X0: $i,X1: $i] : nand(nand(nand(nand(nand(X0,X0),nand(X1,nand(X0,X0))),nand(X0,X0)),nand(nand(nand(X0,X0),nand(X1,nand(X0,X0))),nand(nand(nand(X0,X0),nand(X1,nand(X0,X0))),nand(X0,X0)))),X0) = nand(X0,X0),
    inference(superposition,[status(thm)],[c_3413,c_639]) ).

tcf(c_3847,plain,
    ! [X0: $i,X1: $i,X2: $i] : nand(nand(nand(X0,X0),nand(nand(nand(nand(nand(X0,X1),nand(X0,nand(X0,X1))),nand(nand(X2,nand(nand(X0,X1),nand(X0,nand(X0,X1)))),nand(nand(X0,X1),nand(X0,nand(X0,X1))))),nand(X0,X0)),nand(X0,X0))),X2) = nand(nand(nand(X0,X1),nand(X0,nand(X0,X1))),nand(nand(X2,nand(nand(X0,X1),nand(X0,nand(X0,X1)))),nand(nand(X0,X1),nand(X0,nand(X0,X1))))),
    inference(superposition,[status(thm)],[c_3522,c_62]) ).

tcf(c_3850,plain,
    ! [X0: $i,X1: $i] : nand(nand(nand(X0,X1),nand(nand(nand(nand(nand(X0,X1),nand(X0,nand(X0,X1))),nand(nand(X0,X0),nand(nand(X0,X1),nand(X0,nand(X0,X1))))),nand(X0,X1)),nand(X0,X1))),X0) = nand(nand(nand(X0,X1),nand(X0,nand(X0,X1))),nand(nand(X0,X0),nand(nand(X0,X1),nand(X0,nand(X0,X1))))),
    inference(superposition,[status(thm)],[c_3522,c_130]) ).

tcf(c_3927,plain,
    ! [X0: $i,X1: $i,X2: $i] : nand(nand(nand(nand(X0,X1),nand(X0,nand(X0,X1))),nand(nand(nand(nand(X0,X0),nand(nand(X2,nand(X0,X0)),nand(X0,X0))),nand(nand(X0,X1),nand(X0,nand(X0,X1)))),nand(nand(X0,X1),nand(X0,nand(X0,X1))))),X2) = nand(nand(X0,X0),nand(nand(X2,nand(X0,X0)),nand(X0,X0))),
    inference(superposition,[status(thm)],[c_3523,c_130]) ).

tcf(c_3942,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,nand(X1,X0)),nand(X0,X0)) = X0,
    inference(demodulation,[status(thm)],[c_3741,c_3360]) ).

tcf(c_3944,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,X1),nand(X0,nand(X0,X1))) = X0,
    inference(demodulation,[status(thm)],[c_3659,c_3942]) ).

tcf(c_3947,plain,
    ! [X0: $i] : nand(nand(X0,X0),X0) = nand(X0,nand(X0,X0)),
    inference(demodulation,[status(thm)],[c_3711,c_3718,c_3944]) ).

tcf(c_3978,plain,
    ! [X0: $i,X1: $i] : nand(nand(nand(X0,X0),nand(X1,nand(X0,X0))),X0) = nand(X0,X0),
    inference(demodulation,[status(thm)],[c_3774,c_3944]) ).

tcf(c_3986,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,nand(X0,nand(X0,X0))),nand(X0,X1)) = X0,
    inference(demodulation,[status(thm)],[c_3607,c_3944,c_3947]) ).

tcf(c_4008,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,X0),nand(nand(X1,nand(X0,X0)),nand(X0,X0))) = nand(nand(X0,nand(X0,nand(X0,X0))),X1),
    inference(demodulation,[status(thm)],[c_3927,c_3944,c_3947,c_3978]) ).

tcf(c_4015,plain,
    ! [X0: $i] : nand(X0,nand(X0,nand(X0,X0))) = nand(X0,X0),
    inference(demodulation,[status(thm)],[c_3850,c_3944,c_3947,c_3986]) ).

tcf(c_4042,plain,
    ! [X0: $i,X1: $i] : nand(nand(nand(X0,X0),nand(X0,nand(nand(X1,X0),X0))),X1) = nand(X0,nand(nand(X1,X0),X0)),
    inference(demodulation,[status(thm)],[c_3847,c_3944,c_4008,c_4015]) ).

tcf(c_4043,plain,
    ! [X0: $i,X1: $i] : nand(X0,nand(nand(X1,X0),X0)) = nand(X0,X1),
    inference(demodulation,[status(thm)],[c_4042,c_3210]) ).

tcf(c_4079,plain,
    ! [X0: $i,X1: $i] : nand(nand(X0,X0),nand(X1,X0)) = X0,
    inference(demodulation,[status(thm)],[c_1706,c_4043]) ).

tcf(c_4093,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_52,c_4079]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : BOO075-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/10.39  % Computer : n010.cluster.edu
% 0.13/10.39  % Model    : x86_64 x86_64
% 0.13/10.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.39  % Memory   : 8046.5625MB
% 0.13/10.39  % OS       : Linux 6.8.0-71-generic
% 0.13/10.39  % CPULimit : 300
% 0.13/10.39  % WCLimit  : 300
% 0.13/10.39  % DateTime : Fri Sep 25 06:44:30 UTC 2026
% 0.17/10.40  % CPUTime  : 
% 0.17/10.40  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/10.43  Running UEQ theorem proving
% 0.17/10.43  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/10.45  
% 0.17/10.45  % ======== iProver multi-core TPTP/SMT =========
% 0.17/10.45  
% 0.17/10.45  % Detected problem language: tptp
% 0.17/10.46  % Proving...
% 7.91/11.80  WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 7.91/11.80  % SZS status Started for theBenchmark.p
% 7.91/11.80  % SZS status Unsatisfiable for theBenchmark.p
% 7.91/11.80  
% 7.91/11.80  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.91/11.80  
% 7.91/11.80  % ------  iProver source info
% 7.91/11.80  
% 7.91/11.80  % git: date: 2026-07-19 20:42:38 +0200
% 7.91/11.80  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.91/11.80  % git: non_committed_changes: false
% 7.91/11.80  
% 7.91/11.80  % ------ Parsing...% successful
% 7.91/11.80  
% 7.91/11.80  
% 7.91/11.80  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.91/11.80  % ------ Proving...
% 7.91/11.80  % ------ Problem Properties 
% 7.91/11.80  
% 7.91/11.80  % 
% 7.91/11.80  % clauses                               2
% 7.91/11.80  % conjectures                           1
% 7.91/11.80  % EPR                                   0
% 7.91/11.80  % Horn                                  2
% 7.91/11.80  % unary                                 2
% 7.91/11.80  % binary                                0
% 7.91/11.80  % lits                                  2
% 7.91/11.80  % lits eq                               2
% 7.91/11.80  % fd_pure                               0
% 7.91/11.80  % fd_pseudo                             0
% 7.91/11.80  % fd_cond                               0
% 7.91/11.80  % fd_pseudo_cond                        0
% 7.91/11.80  % AC symbols                            0
% 7.91/11.80  
% 7.91/11.80  % ------ Input Options Time Limit: Unbounded
% 7.91/11.80  
% 7.91/11.80  
% 7.91/11.80  % ------ 
% 7.91/11.80  % Current options:
% 7.91/11.80  % ------ 
% 7.91/11.80  
% 7.91/11.80  
% 7.91/11.80  % 
% 7.91/11.80  
% 7.91/11.80  % ------ Proving...
% 7.91/11.80  % 
% 7.91/11.80  
% 7.91/11.80  % SZS status Unsatisfiable for theBenchmark.p
% 7.91/11.80  
% 7.91/11.80  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.91/11.80  
% 7.91/11.80  
%------------------------------------------------------------------------------