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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWX223+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n020.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 03:32:53 PM UTC 2026

% Result   : Theorem 14.67s 2.83s
% Output   : CNFRefutation 14.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   80 (  23 unt;   3 def)
%            Number of atoms       :  232 (  42 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  200 (  94   ~;  81   |;  16   &)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 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  :    7 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :  192 (   0 sgn 190   !;   2   ?;  91   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,axiom,
    ! [X0,X1,X2,X3] : app(X0,X1,X2) != lam(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_021) ).

fof(f23,axiom,
    ! [X0,X1] : lam(X0) != var(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_023) ).

fof(f24,axiom,
    ! [X0,X1,X2] :
      ( X0 != lam(proj1Lam(X0))
     => ( nf(app(X0,X1,X2))
      <=> ( nf(X1)
          & nf(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_024) ).

fof(f26,axiom,
    ! [X0] :
      ( nf(lam(X0))
    <=> nf(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_026) ).

fof(f27,axiom,
    ! [X0] : nf(var(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_027) ).

fof(f29,axiom,
    ! [X0,X1] : index(cons(X0,X1),zero) = just(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_029) ).

fof(f30,axiom,
    ! [X0,X1,X2] : index(cons(X0,X1),suc(X2)) = index(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_030) ).

fof(f31,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( tc(X0,app(X2,X3,X4),X1)
    <=> ( tc(X0,X3,X4)
        & tc(X0,X2,arr(X4,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_031) ).

fof(f33,axiom,
    ! [X0,X1,X2,X3] :
      ( tc(X0,lam(X1),arr(X2,X3))
    <=> tc(cons(X2,X0),X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_033) ).

fof(f35,axiom,
    ! [X0,X1,X2,X3] :
      ( index(X0,X2) = just(X3)
     => ( tc(X0,var(X2),X1)
      <=> X3 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_035) ).

fof(f36,conjecture,
    ? [X0] :
      ( tc(nil,X0,arr(arr(a,arr(a,b)),arr(a,b)))
      & nf(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_036) ).

fof(f37,negated_conjecture,
    ~ ? [X0] :
        ( tc(nil,X0,arr(arr(a,arr(a,b)),arr(a,b)))
        & nf(X0) ),
    inference(negated_conjecture,[status(cth)],[f36]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( lam(proj1Lam(X0)) = X0
      | ( nf(app(X0,X1,X2))
      <=> ( nf(X1)
          & nf(X0) ) ) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f41,plain,
    ! [X0,X1,X2,X3] :
      ( index(X0,X2) != just(X3)
      | ( tc(X0,var(X2),X1)
      <=> X3 = X1 ) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ tc(nil,X0,arr(arr(a,arr(a,b)),arr(a,b)))
      | ~ nf(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( lam(proj1Lam(X0)) = X0
      | ( ( ~ nf(app(X0,X1,X2))
          | ( nf(X1)
            & nf(X0) ) )
        & ( ~ nf(X1)
          | ~ nf(X0)
          | nf(app(X0,X1,X2)) ) ) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( lam(proj1Lam(X0)) = X0
      | ( ( ~ nf(app(X0,X1,X2))
          | ( nf(X1)
            & nf(X0) ) )
        & ( ~ nf(X1)
          | ~ nf(X0)
          | nf(app(X0,X1,X2)) ) ) ),
    inference(flattening,[],[f43]) ).

fof(f45,plain,
    ! [X0] :
      ( ( ~ nf(lam(X0))
        | nf(X0) )
      & ( ~ nf(X0)
        | nf(lam(X0)) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f46,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ~ tc(X0,app(X2,X3,X4),X1)
        | ( tc(X0,X3,X4)
          & tc(X0,X2,arr(X4,X1)) ) )
      & ( ~ tc(X0,X3,X4)
        | ~ tc(X0,X2,arr(X4,X1))
        | tc(X0,app(X2,X3,X4),X1) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ~ tc(X0,app(X2,X3,X4),X1)
        | ( tc(X0,X3,X4)
          & tc(X0,X2,arr(X4,X1)) ) )
      & ( ~ tc(X0,X3,X4)
        | ~ tc(X0,X2,arr(X4,X1))
        | tc(X0,app(X2,X3,X4),X1) ) ),
    inference(flattening,[],[f46]) ).

fof(f48,plain,
    ! [X0,X1,X2,X3] :
      ( ( ~ tc(X0,lam(X1),arr(X2,X3))
        | tc(cons(X2,X0),X1,X3) )
      & ( ~ tc(cons(X2,X0),X1,X3)
        | tc(X0,lam(X1),arr(X2,X3)) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f49,plain,
    ! [X0,X1,X2,X3] :
      ( index(X0,X2) != just(X3)
      | ( ( ~ tc(X0,var(X2),X1)
          | X3 = X1 )
        & ( X1 != X3
          | tc(X0,var(X2),X1) ) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f70,plain,
    ! [X2,X3,X0,X1] : app(X0,X1,X2) != lam(X3),
    inference(cnf_transformation,[],[f21]) ).

fof(f72,plain,
    ! [X0,X1] : lam(X0) != var(X1),
    inference(cnf_transformation,[],[f23]) ).

fof(f75,plain,
    ! [X2,X0,X1] :
      ( lam(proj1Lam(X0)) = X0
      | ~ nf(X1)
      | ~ nf(X0)
      | nf(app(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ nf(X0)
      | nf(lam(X0)) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f79,plain,
    ! [X0] : nf(var(X0)),
    inference(cnf_transformation,[],[f27]) ).

fof(f81,plain,
    ! [X0,X1] : just(X0) = index(cons(X0,X1),zero),
    inference(cnf_transformation,[],[f29]) ).

fof(f82,plain,
    ! [X2,X0,X1] : index(cons(X0,X1),suc(X2)) = index(X1,X2),
    inference(cnf_transformation,[],[f30]) ).

fof(f85,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ tc(X0,X3,X4)
      | ~ tc(X0,X2,arr(X4,X1))
      | tc(X0,app(X2,X3,X4),X1) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f87,plain,
    ! [X2,X3,X0,X1] :
      ( ~ tc(X0,lam(X1),arr(X2,X3))
      | tc(cons(X2,X0),X1,X3) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f88,plain,
    ! [X2,X3,X0,X1] :
      ( ~ tc(cons(X2,X0),X1,X3)
      | tc(X0,lam(X1),arr(X2,X3)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f91,plain,
    ! [X2,X3,X0,X1] :
      ( index(X0,X2) != just(X3)
      | X1 != X3
      | tc(X0,var(X2),X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f92,plain,
    ! [X0] :
      ( ~ tc(nil,X0,arr(arr(a,arr(a,b)),arr(a,b)))
      | ~ nf(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f93,plain,
    ! [X2,X3,X0] :
      ( index(X0,X2) != just(X3)
      | tc(X0,var(X2),X3) ),
    inference(equality_resolution,[],[f91]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : app(X0,X1,X2) != lam(X3),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i] : lam(X0) != var(X1),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( nf(app(X0,X1,X2))
      | ( lam(proj1Lam(X0)) = X0 )
      | ~ nf(X1)
      | ~ nf(X0) ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_76,plain,
    ! [X0: $i] :
      ( nf(lam(X0))
      | ~ nf(X0) ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_78,plain,
    ! [X0: $i] : nf(var(X0)),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i] : index(cons(X0,X1),zero) = just(X0),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i,X2: $i] : index(cons(X0,X1),suc(X2)) = index(X1,X2),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_82,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( tc(X0,app(X1,X4,X2),X3)
      | ~ tc(X0,X4,X2)
      | ~ tc(X0,X1,arr(X2,X3)) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_86,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( tc(X1,lam(X2),arr(X0,X3))
      | ~ tc(cons(X0,X1),X2,X3) ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_87,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( tc(cons(X2,X0),X1,X3)
      | ~ tc(X0,lam(X1),arr(X2,X3)) ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( tc(X0,var(X1),X2)
      | ( index(X0,X1) != just(X2) ) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_91,negated_conjecture,
    ! [X0: $i] :
      ( ~ nf(X0)
      | ~ tc(nil,X0,arr(arr(a,arr(a,b)),arr(a,b))) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_443,definition,
    iPr_def_10 = arr(a,b),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_444,definition,
    iPr_def_11 = arr(a,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_445,definition,
    iPr_def_12 = arr(iPr_def_11,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_446,negated_conjecture,
    ! [X0: $i] :
      ( ~ nf(X0)
      | ~ tc(nil,X0,iPr_def_12) ),
    inference(demodulation,[status(thm)],[c_91,c_443,c_444,c_445]) ).

tcf(c_1322,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( tc(cons(X0,X2),var(zero),X1)
      | ( just(X0) != just(X1) ) ),
    inference(superposition,[status(thm)],[c_80,c_89]) ).

tcf(c_1323,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( tc(cons(X3,X0),var(suc(X1)),X2)
      | ( index(X0,X1) != just(X2) ) ),
    inference(superposition,[status(thm)],[c_81,c_89]) ).

tcf(c_1354,plain,
    ! [X0: $i,X1: $i] :
      ( tc(X0,lam(X1),iPr_def_10)
      | ~ tc(cons(a,X0),X1,b) ),
    inference(superposition,[status(thm)],[c_443,c_86]) ).

tcf(c_1355,plain,
    ! [X0: $i,X1: $i] :
      ( tc(X0,lam(X1),iPr_def_11)
      | ~ tc(cons(a,X0),X1,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_444,c_86]) ).

tcf(c_1356,plain,
    ! [X0: $i,X1: $i] :
      ( tc(X0,lam(X1),iPr_def_12)
      | ~ tc(cons(iPr_def_11,X0),X1,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_445,c_86]) ).

tcf(c_1384,plain,
    ! [X0: $i,X1: $i] :
      ( tc(cons(a,X0),X1,iPr_def_10)
      | ~ tc(X0,lam(X1),iPr_def_11) ),
    inference(superposition,[status(thm)],[c_444,c_87]) ).

tcf(c_1431,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( tc(X0,lam(app(X1,X3,X2)),iPr_def_10)
      | ~ tc(cons(a,X0),X3,X2)
      | ~ tc(cons(a,X0),X1,arr(X2,b)) ),
    inference(superposition,[status(thm)],[c_82,c_1354]) ).

tcf(c_1432,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( tc(X0,lam(app(X1,X3,X2)),iPr_def_11)
      | ~ tc(cons(a,X0),X3,X2)
      | ~ tc(cons(a,X0),X1,arr(X2,iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_82,c_1355]) ).

tcf(c_1705,plain,
    ! [X0: $i,X1: $i] : tc(cons(X0,X1),var(zero),X0),
    inference(equality_resolution,[status(thm)],[c_1322]) ).

tcf(c_2125,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( tc(X0,lam(app(X1,X2,a)),iPr_def_10)
      | ~ tc(cons(a,X0),X2,a)
      | ~ tc(cons(a,X0),X1,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_443,c_1431]) ).

tcf(c_2150,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( tc(cons(X2,cons(X0,X3)),var(suc(zero)),X1)
      | ( just(X0) != just(X1) ) ),
    inference(superposition,[status(thm)],[c_80,c_1323]) ).

tcf(c_2641,plain,
    ! [X0: $i,X1: $i,X2: $i] : tc(cons(X0,cons(X1,X2)),var(suc(zero)),X1),
    inference(equality_resolution,[status(thm)],[c_2150]) ).

tcf(c_2673,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( tc(cons(arr(X0,iPr_def_10),X1),lam(app(var(suc(zero)),X2,X0)),iPr_def_11)
      | ~ tc(cons(a,cons(arr(X0,iPr_def_10),X1)),X2,X0) ),
    inference(superposition,[status(thm)],[c_2641,c_1432]) ).

tcf(c_3446,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( tc(X0,lam(lam(app(X1,X2,a))),iPr_def_12)
      | ~ tc(cons(a,cons(iPr_def_11,X0)),X2,a)
      | ~ tc(cons(a,cons(iPr_def_11,X0)),X1,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_2125,c_1356]) ).

tcf(c_5837,plain,
    ! [X0: $i,X1: $i] :
      ( tc(cons(iPr_def_11,X0),lam(app(var(suc(zero)),X1,a)),iPr_def_11)
      | ~ tc(cons(a,cons(arr(a,iPr_def_10),X0)),X1,a) ),
    inference(superposition,[status(thm)],[c_444,c_2673]) ).

tcf(c_5846,plain,
    ! [X0: $i,X1: $i] :
      ( tc(cons(iPr_def_11,X0),lam(app(var(suc(zero)),X1,a)),iPr_def_11)
      | ~ tc(cons(a,cons(iPr_def_11,X0)),X1,a) ),
    inference(light_normalisation,[status(thm)],[c_5837,c_444]) ).

tcf(c_7590,plain,
    ! [X0: $i,X1: $i] :
      ( ~ nf(lam(lam(app(X0,X1,a))))
      | ~ tc(cons(a,cons(iPr_def_11,nil)),X1,a)
      | ~ tc(cons(a,cons(iPr_def_11,nil)),X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_3446,c_446]) ).

tcf(c_7621,plain,
    ! [X0: $i] :
      ( ~ tc(cons(a,cons(iPr_def_11,nil)),X0,iPr_def_10)
      | ~ nf(lam(lam(app(X0,var(zero),a)))) ),
    inference(superposition,[status(thm)],[c_1705,c_7590]) ).

tcf(c_7681,plain,
    ! [X0: $i] :
      ( ~ tc(cons(iPr_def_11,nil),lam(X0),iPr_def_11)
      | ~ nf(lam(lam(app(X0,var(zero),a)))) ),
    inference(superposition,[status(thm)],[c_1384,c_7621]) ).

tcf(c_7734,plain,
    ! [X0: $i] :
      ( ~ tc(cons(iPr_def_11,nil),lam(X0),iPr_def_11)
      | ~ nf(lam(app(X0,var(zero),a))) ),
    inference(superposition,[status(thm)],[c_76,c_7681]) ).

tcf(c_7747,plain,
    ! [X0: $i] :
      ( ~ tc(cons(a,cons(iPr_def_11,nil)),X0,a)
      | ~ nf(lam(app(app(var(suc(zero)),X0,a),var(zero),a))) ),
    inference(superposition,[status(thm)],[c_5846,c_7734]) ).

tcf(c_8101,plain,
    ! [X0: $i] :
      ( ~ tc(cons(a,cons(iPr_def_11,nil)),X0,a)
      | ~ nf(app(app(var(suc(zero)),X0,a),var(zero),a)) ),
    inference(superposition,[status(thm)],[c_76,c_7747]) ).

tcf(c_8241,plain,
    ! [X0: $i] :
      ( ( lam(proj1Lam(app(var(suc(zero)),X0,a))) = app(var(suc(zero)),X0,a) )
      | ~ nf(var(zero))
      | ~ nf(app(var(suc(zero)),X0,a))
      | ~ tc(cons(a,cons(iPr_def_11,nil)),X0,a) ),
    inference(superposition,[status(thm)],[c_72,c_8101]) ).

tcf(c_8242,plain,
    ! [X0: $i] :
      ( ( lam(proj1Lam(app(var(suc(zero)),X0,a))) = app(var(suc(zero)),X0,a) )
      | ~ nf(app(var(suc(zero)),X0,a))
      | ~ tc(cons(a,cons(iPr_def_11,nil)),X0,a) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8241,c_78]) ).

tcf(c_8835,plain,
    ( ( lam(proj1Lam(app(var(suc(zero)),var(zero),a))) = app(var(suc(zero)),var(zero),a) )
    | ~ nf(app(var(suc(zero)),var(zero),a)) ),
    inference(superposition,[status(thm)],[c_1705,c_8242]) ).

tcf(c_16122,plain,
    ( ( lam(proj1Lam(var(suc(zero)))) = var(suc(zero)) )
    | ( lam(proj1Lam(app(var(suc(zero)),var(zero),a))) = app(var(suc(zero)),var(zero),a) )
    | ~ nf(var(zero))
    | ~ nf(var(suc(zero))) ),
    inference(superposition,[status(thm)],[c_72,c_8835]) ).

tcf(c_16123,plain,
    lam(proj1Lam(app(var(suc(zero)),var(zero),a))) = app(var(suc(zero)),var(zero),a),
    inference(forward_subsumption_resolution,[status(thm)],[c_16122,c_71,c_78,c_78]) ).

tcf(c_16170,plain,
    ! [X0: $i,X1: $i,X2: $i] : app(var(suc(zero)),var(zero),a) != app(X0,X1,X2),
    inference(superposition,[status(thm)],[c_16123,c_69]) ).

tcf(c_16887,plain,
    $false,
    inference(equality_resolution,[status(thm)],[c_16170]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWX223+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35  % Computer : n020.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Thu Sep 24 23:44:18 UTC 2026
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  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
% 0.13/0.41  
% 0.13/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41  
% 0.13/0.41  % Detected problem language: tptp
% 0.13/0.42  % Proving...
% 14.67/2.83  % SZS status Started for theBenchmark.p
% 14.67/2.83  % SZS status Theorem for theBenchmark.p
% 14.67/2.83  
% 14.67/2.83  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.67/2.83  
% 14.67/2.83  % ------  iProver source info
% 14.67/2.83  
% 14.67/2.83  % git: date: 2026-07-19 20:42:38 +0200
% 14.67/2.83  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.67/2.83  % git: non_committed_changes: false
% 14.67/2.83  
% 14.67/2.83  % ------ Parsing...
% 14.67/2.83  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 14.67/2.83  
% 14.67/2.83  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 14.67/2.83  
% 14.67/2.83  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 14.67/2.83  
% 14.67/2.83  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 14.67/2.83  % ------ Proving...
% 14.67/2.83  % ------ Problem Properties 
% 14.67/2.83  
% 14.67/2.83  % 
% 14.67/2.83  % clauses                               46
% 14.67/2.83  % conjectures                           1
% 14.67/2.83  % EPR                                   4
% 14.67/2.83  % Horn                                  43
% 14.67/2.83  % unary                                 31
% 14.67/2.83  % binary                                10
% 14.67/2.83  % lits                                  67
% 14.67/2.83  % lits eq                               37
% 14.67/2.83  % fd_pure                               0
% 14.67/2.83  % fd_pseudo                             0
% 14.67/2.83  % fd_cond                               0
% 14.67/2.83  % fd_pseudo_cond                        1
% 14.67/2.83  % AC symbols                            0
% 14.67/2.83  
% 14.67/2.83  % ------ Schedule dynamic 5 is on 
% 14.67/2.83  
% 14.67/2.83  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.67/2.83  
% 14.67/2.83  
% 14.67/2.83  % ------ 
% 14.67/2.83  % Current options:
% 14.67/2.83  % ------ 
% 14.67/2.83  
% 14.67/2.83  
% 14.67/2.83  % 
% 14.67/2.83  
% 14.67/2.83  % ------ Proving...
% 14.67/2.83  % 
% 14.67/2.83  
% 14.67/2.83  % SZS status Theorem for theBenchmark.p
% 14.67/2.83  
% 14.67/2.83  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.67/2.84  
% 14.67/2.84  
%------------------------------------------------------------------------------