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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWX217+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 : 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 : Fri Sep 25 03:32:52 PM UTC 2026

% Result   : Theorem 4.49s 1.31s
% Output   : CNFRefutation 4.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  111 (  89 unt;   0 def)
%            Number of atoms       :  135 (  95 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   47 (  23   ~;  20   |;   1   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    7 (   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    :   13 (  13 usr;   4 con; 0-2 aty)
%            Number of variables   :   77 (   0 sgn  73   !;   4   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    half(zero) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).

fof(f8,axiom,
    half(suc(zero)) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_008) ).

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

fof(f10,axiom,
    evenNat(zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).

fof(f11,axiom,
    ! [X0] :
      ( evenNat(suc(X0))
    <=> ~ evenNat(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).

fof(f12,axiom,
    shw(zero) = nil,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_012) ).

fof(f13,axiom,
    ! [X0] :
      ( evenNat(suc(X0))
     => shw(suc(X0)) = cons(o,shw(half(suc(X0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).

fof(f14,axiom,
    ! [X0] :
      ( ~ evenNat(suc(X0))
     => shw(suc(X0)) = cons(i,shw(half(suc(X0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_014) ).

fof(f15,axiom,
    ! [X0] : append(nil,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_015) ).

fof(f16,axiom,
    ! [X0,X1,X2] : append(cons(X1,X2),X0) = cons(X1,append(X2,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_016) ).

fof(f17,axiom,
    ! [X0] : addNat(zero,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_017) ).

fof(f18,axiom,
    ! [X0,X1] : addNat(suc(X1),X0) = suc(addNat(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_018) ).

fof(f19,axiom,
    ! [X0] : double(X0) = addNat(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_019) ).

fof(f20,axiom,
    rd(nil) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_020) ).

fof(f21,axiom,
    ! [X0] : rd(cons(i,X0)) = suc(double(rd(X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_021) ).

fof(f22,axiom,
    ! [X0] : rd(cons(o,X0)) = double(rd(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_022) ).

fof(f23,axiom,
    ! [X0,X1] : x(X0,X1) = rd(append(shw(X0),shw(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_023) ).

fof(f24,conjecture,
    ? [X0,X1] : x(X0,X1) != x(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_024) ).

fof(f25,negated_conjecture,
    ~ ? [X0,X1] : x(X0,X1) != x(X1,X0),
    inference(negated_conjecture,[status(cth)],[f24]) ).

fof(f26,plain,
    ! [X0,X1] : x(X0,X1) = x(X1,X0),
    inference(ennf_transformation,[],[f25]) ).

fof(f27,plain,
    ! [X0] :
      ( evenNat(suc(X0))
      | shw(suc(X0)) = cons(i,shw(half(suc(X0)))) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f28,plain,
    ! [X0] :
      ( ~ evenNat(suc(X0))
      | shw(suc(X0)) = cons(o,shw(half(suc(X0)))) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f29,plain,
    ! [X0] :
      ( ( ~ evenNat(suc(X0))
        | ~ evenNat(X0) )
      & ( evenNat(X0)
        | evenNat(suc(X0)) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f30,plain,
    ! [X0,X1] : x(X0,X1) = x(X1,X0),
    inference(cnf_transformation,[],[f26]) ).

fof(f31,plain,
    ! [X0,X1] : x(X0,X1) = rd(append(shw(X0),shw(X1))),
    inference(cnf_transformation,[],[f23]) ).

fof(f32,plain,
    ! [X0] :
      ( evenNat(suc(X0))
      | shw(suc(X0)) = cons(i,shw(half(suc(X0)))) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ evenNat(suc(X0))
      | shw(suc(X0)) = cons(o,shw(half(suc(X0)))) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f34,plain,
    nil = shw(zero),
    inference(cnf_transformation,[],[f12]) ).

fof(f35,plain,
    ! [X2,X0,X1] : append(cons(X1,X2),X0) = cons(X1,append(X2,X0)),
    inference(cnf_transformation,[],[f16]) ).

fof(f36,plain,
    ! [X0] : append(nil,X0) = X0,
    inference(cnf_transformation,[],[f15]) ).

fof(f37,plain,
    ! [X0] : double(rd(X0)) = rd(cons(o,X0)),
    inference(cnf_transformation,[],[f22]) ).

fof(f38,plain,
    ! [X0] : rd(cons(i,X0)) = suc(double(rd(X0))),
    inference(cnf_transformation,[],[f21]) ).

fof(f39,plain,
    zero = rd(nil),
    inference(cnf_transformation,[],[f20]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ evenNat(suc(X0))
      | ~ evenNat(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f41,plain,
    ! [X0] :
      ( evenNat(X0)
      | evenNat(suc(X0)) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f42,plain,
    evenNat(zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f45,plain,
    ! [X0] : half(suc(suc(X0))) = suc(half(X0)),
    inference(cnf_transformation,[],[f9]) ).

fof(f46,plain,
    zero = half(suc(zero)),
    inference(cnf_transformation,[],[f8]) ).

fof(f47,plain,
    zero = half(zero),
    inference(cnf_transformation,[],[f7]) ).

fof(f49,plain,
    ! [X0] : double(X0) = addNat(X0,X0),
    inference(cnf_transformation,[],[f19]) ).

fof(f50,plain,
    ! [X0,X1] : addNat(suc(X1),X0) = suc(addNat(X1,X0)),
    inference(cnf_transformation,[],[f18]) ).

fof(f51,plain,
    ! [X0] : addNat(zero,X0) = X0,
    inference(cnf_transformation,[],[f17]) ).

fof(f52,plain,
    ! [X0,X1] : rd(append(shw(X0),shw(X1))) = rd(append(shw(X1),shw(X0))),
    inference(definition_unfolding,[],[f30,f31,f31]) ).

fof(f53,plain,
    ! [X0] : rd(cons(o,X0)) = addNat(rd(X0),rd(X0)),
    inference(definition_unfolding,[],[f37,f49]) ).

fof(f54,plain,
    ! [X0] : rd(cons(i,X0)) = suc(addNat(rd(X0),rd(X0))),
    inference(definition_unfolding,[],[f38,f49]) ).

tcf(c_49,negated_conjecture,
    ! [X0: $i,X1: $i] : rd(append(shw(X0),shw(X1))) = rd(append(shw(X1),shw(X0))),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_50,plain,
    ! [X0: $i] :
      ( evenNat(suc(X0))
      | ( cons(i,shw(half(suc(X0)))) = shw(suc(X0)) ) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_51,plain,
    ! [X0: $i] :
      ( ( cons(o,shw(half(suc(X0)))) = shw(suc(X0)) )
      | ~ evenNat(suc(X0)) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_52,plain,
    shw(zero) = nil,
    inference(cnf_transformation,[],[f34]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] : append(cons(X0,X1),X2) = cons(X0,append(X1,X2)),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_54,plain,
    ! [X0: $i] : append(nil,X0) = X0,
    inference(cnf_transformation,[],[f36]) ).

tcf(c_55,plain,
    ! [X0: $i] : addNat(rd(X0),rd(X0)) = rd(cons(o,X0)),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_56,plain,
    ! [X0: $i] : suc(addNat(rd(X0),rd(X0))) = rd(cons(i,X0)),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_57,plain,
    rd(nil) = zero,
    inference(cnf_transformation,[],[f39]) ).

tcf(c_58,plain,
    ! [X0: $i] :
      ( evenNat(X0)
      | evenNat(suc(X0)) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_59,plain,
    ! [X0: $i] :
      ( ~ evenNat(X0)
      | ~ evenNat(suc(X0)) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_60,plain,
    evenNat(zero),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_63,plain,
    ! [X0: $i] : half(suc(suc(X0))) = suc(half(X0)),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_64,plain,
    half(suc(zero)) = zero,
    inference(cnf_transformation,[],[f46]) ).

tcf(c_65,plain,
    half(zero) = zero,
    inference(cnf_transformation,[],[f47]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i] : suc(addNat(X0,X1)) = addNat(suc(X0),X1),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_68,plain,
    ! [X0: $i] : addNat(zero,X0) = X0,
    inference(cnf_transformation,[],[f51]) ).

tcf(c_86,plain,
    ! [X0: $i] :
      ( ( cons(i,shw(half(suc(X0)))) = shw(suc(X0)) )
      | ~ evenNat(X0) ),
    inference(prop_impl_just,[status(thm)],[c_59,c_50]) ).

tcf(c_88,plain,
    ! [X0: $i] :
      ( ( cons(o,shw(half(suc(X0)))) = shw(suc(X0)) )
      | evenNat(X0) ),
    inference(prop_impl_just,[status(thm)],[c_58,c_51]) ).

tcf(c_89,plain,
    ! [X0: $i] :
      ( evenNat(X0)
      | ( cons(o,shw(half(suc(X0)))) = shw(suc(X0)) ) ),
    inference(renaming,[status(thm)],[c_88]) ).

tcf(c_173,plain,
    ! [X0: $i] : suc(rd(cons(o,X0))) = rd(cons(i,X0)),
    inference(light_normalisation,[status(thm)],[c_56,c_55]) ).

tcf(c_560,plain,
    ! [X0: $i] :
      ( ~ evenNat(rd(cons(o,X0)))
      | ~ evenNat(rd(cons(i,X0))) ),
    inference(superposition,[status(thm)],[c_173,c_59]) ).

tcf(c_564,plain,
    ! [X0: $i] : suc(half(rd(cons(o,X0)))) = half(suc(rd(cons(i,X0)))),
    inference(superposition,[status(thm)],[c_173,c_63]) ).

tcf(c_578,plain,
    rd(cons(o,nil)) = addNat(zero,zero),
    inference(superposition,[status(thm)],[c_57,c_55]) ).

tcf(c_633,plain,
    ! [X0: $i] :
      ( evenNat(X0)
      | ( cons(i,shw(half(suc(suc(X0))))) = shw(suc(suc(X0))) ) ),
    inference(superposition,[status(thm)],[c_58,c_86]) ).

tcf(c_634,plain,
    cons(i,shw(half(suc(zero)))) = shw(suc(zero)),
    inference(superposition,[status(thm)],[c_60,c_86]) ).

tcf(c_637,plain,
    shw(suc(zero)) = cons(i,nil),
    inference(light_normalisation,[status(thm)],[c_634,c_52,c_64]) ).

tcf(c_638,plain,
    ! [X0: $i] :
      ( evenNat(X0)
      | ( cons(i,shw(suc(half(X0)))) = shw(suc(suc(X0))) ) ),
    inference(light_normalisation,[status(thm)],[c_633,c_63]) ).

tcf(c_649,plain,
    ! [X0: $i] : append(shw(suc(zero)),X0) = cons(i,append(nil,X0)),
    inference(superposition,[status(thm)],[c_637,c_53]) ).

tcf(c_653,plain,
    ! [X0: $i] : append(shw(suc(zero)),X0) = cons(i,X0),
    inference(light_normalisation,[status(thm)],[c_649,c_54]) ).

tcf(c_656,plain,
    rd(cons(o,nil)) = zero,
    inference(demodulation,[status(thm)],[c_578,c_68]) ).

tcf(c_658,plain,
    rd(cons(i,nil)) = suc(zero),
    inference(superposition,[status(thm)],[c_656,c_173]) ).

tcf(c_659,plain,
    rd(cons(o,cons(o,nil))) = addNat(zero,zero),
    inference(superposition,[status(thm)],[c_656,c_55]) ).

tcf(c_660,plain,
    rd(shw(suc(zero))) = suc(zero),
    inference(light_normalisation,[status(thm)],[c_658,c_637]) ).

tcf(c_662,plain,
    rd(cons(o,shw(suc(zero)))) = addNat(suc(zero),suc(zero)),
    inference(superposition,[status(thm)],[c_660,c_55]) ).

tcf(c_667,plain,
    ! [X0: $i] : rd(append(shw(X0),shw(suc(zero)))) = rd(cons(i,shw(X0))),
    inference(superposition,[status(thm)],[c_653,c_49]) ).

tcf(c_807,plain,
    rd(cons(o,cons(o,nil))) = zero,
    inference(demodulation,[status(thm)],[c_659,c_68]) ).

tcf(c_810,plain,
    rd(cons(i,cons(o,nil))) = suc(zero),
    inference(superposition,[status(thm)],[c_807,c_173]) ).

tcf(c_817,plain,
    suc(half(rd(cons(o,cons(o,nil))))) = half(suc(suc(zero))),
    inference(superposition,[status(thm)],[c_810,c_564]) ).

tcf(c_819,plain,
    half(suc(suc(zero))) = suc(zero),
    inference(light_normalisation,[status(thm)],[c_817,c_65,c_807]) ).

tcf(c_878,plain,
    ( ~ evenNat(rd(cons(o,nil)))
    | ~ evenNat(rd(shw(suc(zero)))) ),
    inference(superposition,[status(thm)],[c_637,c_560]) ).

tcf(c_879,plain,
    ( ~ evenNat(zero)
    | ~ evenNat(suc(zero)) ),
    inference(light_normalisation,[status(thm)],[c_878,c_656,c_660]) ).

tcf(c_880,plain,
    ~ evenNat(suc(zero)),
    inference(forward_subsumption_resolution,[status(thm)],[c_879,c_60]) ).

tcf(c_916,plain,
    rd(cons(o,shw(suc(zero)))) = suc(suc(zero)),
    inference(demodulation,[status(thm)],[c_662,c_67,c_68]) ).

tcf(c_919,plain,
    rd(cons(i,shw(suc(zero)))) = suc(suc(suc(zero))),
    inference(superposition,[status(thm)],[c_916,c_173]) ).

tcf(c_937,plain,
    cons(o,shw(half(suc(suc(zero))))) = shw(suc(suc(zero))),
    inference(superposition,[status(thm)],[c_89,c_880]) ).

tcf(c_938,plain,
    cons(o,shw(suc(zero))) = shw(suc(suc(zero))),
    inference(light_normalisation,[status(thm)],[c_937,c_819]) ).

tcf(c_939,plain,
    rd(shw(suc(suc(zero)))) = suc(suc(zero)),
    inference(demodulation,[status(thm)],[c_916,c_938]) ).

tcf(c_943,plain,
    rd(cons(o,shw(suc(suc(zero))))) = addNat(suc(suc(zero)),suc(suc(zero))),
    inference(superposition,[status(thm)],[c_939,c_55]) ).

tcf(c_1054,plain,
    addNat(suc(suc(suc(zero))),suc(suc(suc(zero)))) = rd(cons(o,cons(i,shw(suc(zero))))),
    inference(superposition,[status(thm)],[c_919,c_55]) ).

tcf(c_1096,plain,
    ! [X0: $i] : cons(o,append(shw(suc(zero)),X0)) = append(shw(suc(suc(zero))),X0),
    inference(superposition,[status(thm)],[c_938,c_53]) ).

tcf(c_1103,plain,
    ! [X0: $i] : append(shw(suc(suc(zero))),X0) = cons(o,cons(i,X0)),
    inference(light_normalisation,[status(thm)],[c_1096,c_653]) ).

tcf(c_1229,plain,
    rd(cons(o,cons(i,shw(suc(zero))))) = rd(cons(i,shw(suc(suc(zero))))),
    inference(superposition,[status(thm)],[c_1103,c_667]) ).

tcf(c_1294,plain,
    cons(i,shw(suc(half(suc(zero))))) = shw(suc(suc(suc(zero)))),
    inference(superposition,[status(thm)],[c_638,c_880]) ).

tcf(c_1298,plain,
    shw(suc(suc(suc(zero)))) = cons(i,shw(suc(zero))),
    inference(light_normalisation,[status(thm)],[c_1294,c_64]) ).

tcf(c_1307,plain,
    rd(shw(suc(suc(suc(zero))))) = suc(suc(suc(zero))),
    inference(demodulation,[status(thm)],[c_919,c_1298]) ).

tcf(c_1429,plain,
    rd(cons(o,shw(suc(suc(suc(zero)))))) = rd(cons(i,shw(suc(suc(zero))))),
    inference(light_normalisation,[status(thm)],[c_1229,c_1298]) ).

tcf(c_1691,plain,
    addNat(suc(suc(suc(zero))),suc(suc(suc(zero)))) = rd(cons(o,shw(suc(suc(suc(zero)))))),
    inference(superposition,[status(thm)],[c_1307,c_55]) ).

tcf(c_1692,plain,
    addNat(suc(suc(suc(zero))),suc(suc(suc(zero)))) = rd(cons(i,shw(suc(suc(zero))))),
    inference(light_normalisation,[status(thm)],[c_1691,c_1054,c_1429]) ).

tcf(c_2169,plain,
    rd(cons(o,shw(suc(suc(zero))))) = suc(suc(suc(suc(zero)))),
    inference(demodulation,[status(thm)],[c_943,c_67,c_68]) ).

tcf(c_2174,plain,
    rd(cons(i,shw(suc(suc(zero))))) = suc(suc(suc(suc(suc(zero))))),
    inference(superposition,[status(thm)],[c_2169,c_173]) ).

tcf(c_2310,plain,
    addNat(suc(suc(suc(zero))),suc(suc(suc(zero)))) = suc(suc(suc(suc(suc(zero))))),
    inference(light_normalisation,[status(thm)],[c_1692,c_2174]) ).

tcf(c_2311,plain,
    suc(suc(suc(suc(suc(suc(zero)))))) = suc(suc(suc(suc(suc(zero))))),
    inference(demodulation,[status(thm)],[c_2310,c_67,c_68]) ).

tcf(c_2314,plain,
    ~ evenNat(suc(suc(suc(suc(suc(zero)))))),
    inference(superposition,[status(thm)],[c_2311,c_59]) ).

tcf(c_2316,plain,
    evenNat(suc(suc(suc(suc(suc(zero)))))),
    inference(superposition,[status(thm)],[c_2311,c_58]) ).

tcf(c_2318,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2314,c_2316]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWX217+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38  % Computer : n004.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Thu Sep 24 23:41:36 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 0.11/0.43  
% 0.11/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43  
% 0.11/0.43  % Detected problem language: tptp
% 0.11/0.45  % Proving...
% 4.49/1.31  % SZS status Started for theBenchmark.p
% 4.49/1.31  % SZS status Theorem for theBenchmark.p
% 4.49/1.31  
% 4.49/1.31  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.49/1.31  
% 4.49/1.31  % ------  iProver source info
% 4.49/1.31  
% 4.49/1.31  % git: date: 2026-07-19 20:42:38 +0200
% 4.49/1.31  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.49/1.31  % git: non_committed_changes: false
% 4.49/1.31  
% 4.49/1.31  % ------ Parsing...
% 4.49/1.31  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.49/1.31  
% 4.49/1.31  % ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 4.49/1.31  
% 4.49/1.31  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 4.49/1.31  
% 4.49/1.31  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.49/1.31  % ------ Proving...
% 4.49/1.31  % ------ Problem Properties 
% 4.49/1.31  
% 4.49/1.31  % 
% 4.49/1.31  % clauses                               20
% 4.49/1.31  % conjectures                           1
% 4.49/1.31  % EPR                                   2
% 4.49/1.31  % Horn                                  18
% 4.49/1.31  % unary                                 16
% 4.49/1.31  % binary                                4
% 4.49/1.31  % lits                                  24
% 4.49/1.31  % lits eq                               17
% 4.49/1.31  % fd_pure                               0
% 4.49/1.31  % fd_pseudo                             0
% 4.49/1.31  % fd_cond                               0
% 4.49/1.31  % fd_pseudo_cond                        0
% 4.49/1.31  % AC symbols                            0
% 4.49/1.31  
% 4.49/1.31  % ------ Schedule dynamic 5 is on 
% 4.49/1.31  
% 4.49/1.31  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.49/1.31  
% 4.49/1.31  
% 4.49/1.31  % ------ 
% 4.49/1.31  % Current options:
% 4.49/1.31  % ------ 
% 4.49/1.31  
% 4.49/1.31  
% 4.49/1.31  % 
% 4.49/1.31  
% 4.49/1.31  % ------ Proving...
% 4.49/1.31  % 
% 4.49/1.31  
% 4.49/1.31  % SZS status Theorem for theBenchmark.p
% 4.49/1.31  
% 4.49/1.31  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.49/1.31  
% 4.49/1.31  
%------------------------------------------------------------------------------