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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWX199+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n011.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 03:32:48 PM UTC 2026

% Result   : Theorem 6.10s 2.60s
% Output   : CNFRefutation 6.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   83 (  52 unt;   0 def)
%            Number of atoms       :  128 ( 102 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   89 (  44   ~;  37   |;   1   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :  186 (   0 sgn 180   !;   6   ?; 121   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : head(cons(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_001) ).

fof(f2,axiom,
    ! [X0,X1] : tail(cons(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).

fof(f5,axiom,
    ! [X0] : z != s(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).

fof(f6,axiom,
    ! [X0] : leqNat(z,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).

fof(f7,axiom,
    ! [X0] : ~ leqNat(s(X0),z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( leqNat(s(X0),s(X1))
    <=> leqNat(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_008) ).

fof(f9,axiom,
    ! [X0] : merge(nil,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_009) ).

fof(f10,axiom,
    ! [X0,X1] : merge(cons(X0,X1),nil) = cons(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).

fof(f11,axiom,
    ! [X0,X1,X2,X3] :
      ( leqNat(X0,X2)
     => merge(cons(X0,X1),cons(X2,X3)) = cons(X0,merge(X1,cons(X2,X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).

fof(f12,axiom,
    ! [X0,X1,X2,X3] :
      ( ~ leqNat(X0,X2)
     => merge(cons(X0,X1),cons(X2,X3)) = cons(X2,merge(cons(X0,X1),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_012) ).

fof(f13,conjecture,
    ? [X0,X1,X2] :
      ~ ( merge(X0,X1) = merge(X1,X0)
       => ( merge(X0,X2) = merge(X2,X0)
         => merge(X1,X2) = merge(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_013) ).

fof(f14,negated_conjecture,
    ~ ? [X0,X1,X2] :
        ~ ( merge(X0,X1) = merge(X1,X0)
         => ( merge(X0,X2) = merge(X2,X0)
           => merge(X1,X2) = merge(X2,X1) ) ),
    inference(negated_conjecture,[status(cth)],[f13]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3] :
      ( ~ leqNat(X0,X2)
      | merge(cons(X0,X1),cons(X2,X3)) = cons(X0,merge(X1,cons(X2,X3))) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f16,plain,
    ! [X0,X1,X2,X3] :
      ( leqNat(X0,X2)
      | merge(cons(X0,X1),cons(X2,X3)) = cons(X2,merge(cons(X0,X1),X3)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( merge(X0,X1) != merge(X1,X0)
      | merge(X0,X2) != merge(X2,X0)
      | merge(X1,X2) = merge(X2,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( merge(X0,X1) != merge(X1,X0)
      | merge(X0,X2) != merge(X2,X0)
      | merge(X1,X2) = merge(X2,X1) ),
    inference(flattening,[],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( ~ leqNat(s(X0),s(X1))
        | leqNat(X0,X1) )
      & ( ~ leqNat(X0,X1)
        | leqNat(s(X0),s(X1)) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f20,plain,
    ! [X0,X1] : head(cons(X0,X1)) = X0,
    inference(cnf_transformation,[],[f1]) ).

fof(f21,plain,
    ! [X0,X1] : tail(cons(X0,X1)) = X1,
    inference(cnf_transformation,[],[f2]) ).

fof(f24,plain,
    ! [X0] : s(X0) != z,
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X0] : leqNat(z,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ! [X0] : ~ leqNat(s(X0),z),
    inference(cnf_transformation,[],[f7]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ leqNat(X0,X1)
      | leqNat(s(X0),s(X1)) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f29,plain,
    ! [X0] : merge(nil,X0) = X0,
    inference(cnf_transformation,[],[f9]) ).

fof(f30,plain,
    ! [X0,X1] : cons(X0,X1) = merge(cons(X0,X1),nil),
    inference(cnf_transformation,[],[f10]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1] :
      ( ~ leqNat(X0,X2)
      | merge(cons(X0,X1),cons(X2,X3)) = cons(X0,merge(X1,cons(X2,X3))) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f32,plain,
    ! [X2,X3,X0,X1] :
      ( leqNat(X0,X2)
      | merge(cons(X0,X1),cons(X2,X3)) = cons(X2,merge(cons(X0,X1),X3)) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( merge(X0,X1) != merge(X1,X0)
      | merge(X0,X2) != merge(X2,X0)
      | merge(X1,X2) = merge(X2,X1) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] : head(cons(X0,X1)) = X0,
    inference(cnf_transformation,[],[f20]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] : tail(cons(X0,X1)) = X1,
    inference(cnf_transformation,[],[f21]) ).

tcf(c_53,plain,
    ! [X0: $i] : s(X0) != z,
    inference(cnf_transformation,[],[f24]) ).

tcf(c_54,plain,
    ! [X0: $i] : leqNat(z,X0),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_55,plain,
    ! [X0: $i] : ~ leqNat(s(X0),z),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( leqNat(s(X0),s(X1))
      | ~ leqNat(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_58,plain,
    ! [X0: $i] : merge(nil,X0) = X0,
    inference(cnf_transformation,[],[f29]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] : merge(cons(X0,X1),nil) = cons(X0,X1),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cons(X0,merge(X2,cons(X1,X3))) = merge(cons(X0,X2),cons(X1,X3)) )
      | ~ leqNat(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( leqNat(X1,X0)
      | ( cons(X0,merge(cons(X1,X2),X3)) = merge(cons(X1,X2),cons(X0,X3)) ) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_62,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( merge(X1,X2) = merge(X2,X1) )
      | ( merge(X0,X2) != merge(X2,X0) )
      | ( merge(X0,X1) != merge(X1,X0) ) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( merge(X1,X2) = merge(X2,X1) )
      | ( merge(X0,X2) != merge(X2,X0) )
      | ( merge(X0,X1) != merge(X1,X0) ) ),
    inference(demodulation,[status(thm)],[c_62]) ).

tcf(c_480,plain,
    ! [X0: $i,X1: $i] :
      ( ( merge(X0,X1) = merge(X1,X0) )
      | ( merge(X1,nil) != X1 )
      | ( merge(X0,nil) != merge(nil,X0) ) ),
    inference(superposition,[status(thm)],[c_58,c_178]) ).

tcf(c_485,plain,
    ! [X0: $i,X1: $i] :
      ( ( merge(X0,X1) = merge(X1,X0) )
      | ( merge(X1,nil) != X1 )
      | ( merge(X0,nil) != X0 ) ),
    inference(light_normalisation,[status(thm)],[c_480,c_58]) ).

tcf(c_511,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( merge(X2,nil) = merge(nil,X2) )
      | ( merge(nil,cons(X0,X1)) != cons(X0,X1) )
      | ( merge(cons(X0,X1),X2) != merge(X2,cons(X0,X1)) ) ),
    inference(superposition,[status(thm)],[c_59,c_178]) ).

tcf(c_515,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( merge(cons(X1,X2),X0) = merge(X0,cons(X1,X2)) )
      | ( merge(X0,nil) != X0 ) ),
    inference(superposition,[status(thm)],[c_59,c_485]) ).

tcf(c_522,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( merge(X2,nil) = merge(nil,X2) )
      | ( merge(cons(X0,X1),X2) != merge(X2,cons(X0,X1)) ) ),
    inference(ground_joinability,[status(thm)],[c_511,c_58]) ).

tcf(c_540,plain,
    ! [X0: $i,X1: $i,X2: $i] : cons(z,merge(cons(s(X0),X1),X2)) = merge(cons(s(X0),X1),cons(z,X2)),
    inference(superposition,[status(thm)],[c_61,c_55]) ).

tcf(c_565,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : merge(cons(X0,X1),cons(X2,X3)) = merge(cons(X2,X3),cons(X0,X1)),
    inference(superposition,[status(thm)],[c_59,c_515]) ).

tcf(c_580,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( merge(X2,nil) = X2 )
      | ( merge(cons(X0,X1),X2) != merge(X2,cons(X0,X1)) ) ),
    inference(demodulation,[status(thm)],[c_522,c_58]) ).

tcf(c_602,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( merge(cons(X3,X4),X2) = merge(X2,cons(X3,X4)) )
      | ( merge(cons(X0,X1),X2) != merge(X2,cons(X0,X1)) ) ),
    inference(superposition,[status(thm)],[c_565,c_178]) ).

tcf(c_608,plain,
    ! [X0: $i,X1: $i,X2: $i] : cons(z,merge(cons(s(X0),X1),X2)) = merge(cons(z,X2),cons(s(X0),X1)),
    inference(superposition,[status(thm)],[c_565,c_540]) ).

tcf(c_663,plain,
    ! [X0: $i,X1: $i,X2: $i] : cons(z,merge(X0,cons(X1,X2))) = merge(cons(z,X0),cons(X1,X2)),
    inference(superposition,[status(thm)],[c_54,c_60]) ).

tcf(c_664,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cons(s(X0),merge(X2,cons(s(X1),X3))) = merge(cons(s(X0),X2),cons(s(X1),X3)) )
      | ~ leqNat(X0,X1) ),
    inference(superposition,[status(thm)],[c_56,c_60]) ).

tcf(c_670,plain,
    ! [X0: $i,X1: $i,X2: $i] : cons(z,merge(cons(s(X0),X1),X2)) = cons(z,merge(X2,cons(s(X0),X1))),
    inference(demodulation,[status(thm)],[c_608,c_663]) ).

tcf(c_686,plain,
    ! [X0: $i,X1: $i,X2: $i] : cons(z,merge(X0,cons(X1,X2))) = merge(cons(X1,X2),cons(z,X0)),
    inference(superposition,[status(thm)],[c_663,c_565]) ).

tcf(c_752,plain,
    ! [X0: $i,X1: $i,X2: $i] : cons(s(z),merge(X0,cons(s(X1),X2))) = merge(cons(s(z),X0),cons(s(X1),X2)),
    inference(superposition,[status(thm)],[c_54,c_664]) ).

tcf(c_782,plain,
    ! [X0: $i,X1: $i] : cons(z,merge(X0,cons(z,X1))) = cons(z,merge(X1,cons(z,X0))),
    inference(superposition,[status(thm)],[c_686,c_663]) ).

tcf(c_799,plain,
    ! [X0: $i] : cons(z,merge(X0,cons(z,nil))) = cons(z,cons(z,X0)),
    inference(superposition,[status(thm)],[c_58,c_782]) ).

tcf(c_831,plain,
    ! [X0: $i,X1: $i] : tail(cons(z,merge(X0,cons(z,X1)))) = merge(X1,cons(z,X0)),
    inference(superposition,[status(thm)],[c_782,c_50]) ).

tcf(c_883,plain,
    ! [X0: $i] : tail(cons(z,cons(z,X0))) = merge(X0,cons(z,nil)),
    inference(superposition,[status(thm)],[c_799,c_50]) ).

tcf(c_926,plain,
    ! [X0: $i] : merge(X0,cons(z,nil)) = cons(z,X0),
    inference(demodulation,[status(thm)],[c_883,c_50]) ).

tcf(c_1269,plain,
    ! [X0: $i,X1: $i] : merge(X0,cons(z,X1)) = merge(X1,cons(z,X0)),
    inference(demodulation,[status(thm)],[c_831,c_50]) ).

tcf(c_1312,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( merge(cons(z,X0),X2) = merge(X2,cons(z,X0)) )
      | ( merge(X1,X2) != merge(X2,X1) )
      | ( merge(cons(z,X0),X1) != merge(X0,cons(z,X1)) ) ),
    inference(superposition,[status(thm)],[c_1269,c_178]) ).

tcf(c_1321,plain,
    ! [X0: $i,X1: $i,X2: $i] : cons(z,merge(X0,cons(X1,X2))) = merge(X0,cons(z,cons(X1,X2))),
    inference(superposition,[status(thm)],[c_1269,c_686]) ).

tcf(c_1412,plain,
    ! [X0: $i,X1: $i,X2: $i] : cons(s(z),merge(X0,cons(s(X1),X2))) = merge(cons(s(X1),X2),cons(s(z),X0)),
    inference(superposition,[status(thm)],[c_752,c_565]) ).

tcf(c_1538,plain,
    ! [X0: $i,X1: $i] :
      ( ( merge(cons(z,X0),X1) = merge(X1,cons(z,X0)) )
      | ( merge(X1,nil) != merge(nil,X1) )
      | ( merge(X0,cons(z,nil)) != cons(z,X0) ) ),
    inference(superposition,[status(thm)],[c_59,c_1312]) ).

tcf(c_1551,plain,
    ! [X0: $i,X1: $i] :
      ( ( merge(cons(z,X1),X0) = merge(X0,cons(z,X1)) )
      | ( merge(X0,nil) != merge(nil,X0) ) ),
    inference(ground_joinability,[status(thm)],[c_1538,c_926]) ).

tcf(c_1552,plain,
    ! [X0: $i,X1: $i] :
      ( ( merge(cons(z,X1),X0) = merge(X0,cons(z,X1)) )
      | ( merge(X0,nil) != X0 ) ),
    inference(light_normalisation,[status(thm)],[c_1551,c_58]) ).

tcf(c_1898,plain,
    ! [X0: $i,X1: $i,X2: $i] : tail(cons(z,merge(X0,cons(s(X1),X2)))) = merge(cons(s(X1),X2),X0),
    inference(superposition,[status(thm)],[c_670,c_50]) ).

tcf(c_2139,plain,
    ! [X0: $i,X1: $i,X2: $i] : merge(cons(s(X0),X1),X2) = merge(X2,cons(s(X0),X1)),
    inference(demodulation,[status(thm)],[c_1898,c_50]) ).

tcf(c_2182,plain,
    ! [X0: $i,X1: $i,X2: $i] : merge(cons(X0,X1),X2) = merge(X2,cons(X0,X1)),
    inference(superposition,[status(thm)],[c_2139,c_602]) ).

tcf(c_2192,plain,
    ! [X0: $i] : merge(X0,nil) = X0,
    inference(backward_subsumption_resolution,[status(thm)],[c_580,c_2182]) ).

tcf(c_2206,plain,
    ! [X0: $i,X1: $i] : merge(cons(z,X1),X0) = merge(X0,cons(z,X1)),
    inference(global_subsumption_just,[status(thm)],[c_1552,c_1552,c_2192]) ).

tcf(c_2207,plain,
    ! [X0: $i,X1: $i] : merge(cons(z,X0),X1) = merge(X1,cons(z,X0)),
    inference(renaming,[status(thm)],[c_2206]) ).

tcf(c_2245,plain,
    ! [X0: $i,X1: $i] : merge(cons(z,X0),X1) = merge(X0,cons(z,X1)),
    inference(superposition,[status(thm)],[c_2207,c_1269]) ).

tcf(c_4222,plain,
    ! [X0: $i,X1: $i] : cons(s(z),merge(X0,cons(s(z),X1))) = cons(s(z),merge(X1,cons(s(z),X0))),
    inference(superposition,[status(thm)],[c_1412,c_752]) ).

tcf(c_10818,plain,
    ! [X0: $i] : cons(s(z),merge(X0,cons(s(z),nil))) = cons(s(z),cons(s(z),X0)),
    inference(superposition,[status(thm)],[c_58,c_4222]) ).

tcf(c_11368,plain,
    ! [X0: $i] : tail(cons(s(z),cons(s(z),X0))) = merge(X0,cons(s(z),nil)),
    inference(superposition,[status(thm)],[c_10818,c_50]) ).

tcf(c_12751,plain,
    ! [X0: $i] : merge(X0,cons(s(z),nil)) = cons(s(z),X0),
    inference(demodulation,[status(thm)],[c_11368,c_50]) ).

tcf(c_12792,plain,
    ! [X0: $i] : merge(X0,cons(z,cons(s(z),nil))) = cons(s(z),cons(z,X0)),
    inference(superposition,[status(thm)],[c_12751,c_2245]) ).

tcf(c_13323,plain,
    ! [X0: $i] : cons(s(z),cons(z,X0)) = cons(z,cons(s(z),X0)),
    inference(demodulation,[status(thm)],[c_12792,c_1321,c_12751]) ).

tcf(c_13336,plain,
    ! [X0: $i] : head(cons(z,cons(s(z),X0))) = s(z),
    inference(superposition,[status(thm)],[c_13323,c_49]) ).

tcf(c_19559,plain,
    s(z) = z,
    inference(demodulation,[status(thm)],[c_13336,c_49]) ).

tcf(c_19560,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_19559,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWX199+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35  % Computer : n011.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Thu Sep 24 23:35:28 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39  Running first-order theorem proving
% 0.12/0.39  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40  
% 0.12/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40  
% 0.12/0.40  % Detected problem language: tptp
% 0.12/0.41  % Proving...
% 6.10/2.60  % SZS status Started for theBenchmark.p
% 6.10/2.60  % SZS status Theorem for theBenchmark.p
% 6.10/2.60  
% 6.10/2.60  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.10/2.60  
% 6.10/2.60  % ------  iProver source info
% 6.10/2.60  
% 6.10/2.60  % git: date: 2026-07-19 20:42:38 +0200
% 6.10/2.60  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.10/2.60  % git: non_committed_changes: false
% 6.10/2.60  
% 6.10/2.60  % ------ Parsing...
% 6.10/2.60  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 6.10/2.60  
% 6.10/2.60  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 6.10/2.60  
% 6.10/2.60  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 6.10/2.60  
% 6.10/2.60  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 6.10/2.60  % ------ Proving...
% 6.10/2.60  % ------ Problem Properties 
% 6.10/2.60  
% 6.10/2.60  % 
% 6.10/2.60  % clauses                               14
% 6.10/2.60  % conjectures                           1
% 6.10/2.60  % EPR                                   1
% 6.10/2.60  % Horn                                  13
% 6.10/2.60  % unary                                 9
% 6.10/2.60  % binary                                4
% 6.10/2.60  % lits                                  20
% 6.10/2.60  % lits eq                               12
% 6.10/2.60  % fd_pure                               0
% 6.10/2.60  % fd_pseudo                             0
% 6.10/2.60  % fd_cond                               0
% 6.10/2.60  % fd_pseudo_cond                        0
% 6.10/2.60  % AC symbols                            0
% 6.10/2.60  
% 6.10/2.60  % ------ Schedule dynamic 5 is on 
% 6.10/2.60  
% 6.10/2.60  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.10/2.60  
% 6.10/2.60  
% 6.10/2.60  % ------ 
% 6.10/2.60  % Current options:
% 6.10/2.60  % ------ 
% 6.10/2.60  
% 6.10/2.60  
% 6.10/2.60  % 
% 6.10/2.60  
% 6.10/2.60  % ------ Proving...
% 6.10/2.60  % 
% 6.10/2.60  
% 6.10/2.60  % SZS status Theorem for theBenchmark.p
% 6.10/2.60  
% 6.10/2.60  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.10/2.60  
% 6.10/2.60  
%------------------------------------------------------------------------------