TSTP Solution File: SWW208+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWW208+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 00:38:29 EDT 2023

% Result   : Theorem 36.20s 5.77s
% Output   : CNFRefutation 36.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   38 (  16 unt;   0 def)
%            Number of atoms       :   74 (   1 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   68 (  32   ~;  24   |;   3   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   34 (   1 sgn;  25   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rp) ).

fof(f4,axiom,
    ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X3)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_th) ).

fof(f11,axiom,
    ! [X6,X7,X5] :
      ( class_Groups_Oordered__comm__monoid__add(X5)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X7))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X6))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X7),X6))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__nonneg__pos) ).

fof(f82,axiom,
    ! [X5] :
      ( class_Rings_Olinordered__semidom(X5)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),c_Groups_Oone__class_Oone(X5))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__one) ).

fof(f1123,axiom,
    class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add) ).

fof(f1138,axiom,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).

fof(f1269,conjecture,
    ( ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X3)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
    & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f1270,negated_conjecture,
    ~ ( ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X3)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
      & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    inference(negated_conjecture,[],[f1269]) ).

fof(f1271,plain,
    ! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(rectify,[],[f4]) ).

fof(f1277,plain,
    ! [X0,X1,X2] :
      ( class_Groups_Oordered__comm__monoid__add(X2)
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2)),X1))
       => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2)),X0))
         => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X0))) ) ) ),
    inference(rectify,[],[f11]) ).

fof(f1346,plain,
    ! [X0] :
      ( class_Rings_Olinordered__semidom(X0)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0))) ),
    inference(rectify,[],[f82]) ).

fof(f2295,plain,
    ~ ( ! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X0)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
      & hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    inference(rectify,[],[f1270]) ).

fof(f2300,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X0)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2)),X0))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2)),X1))
      | ~ class_Groups_Oordered__comm__monoid__add(X2) ),
    inference(ennf_transformation,[],[f1277]) ).

fof(f2301,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X0)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2)),X0))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2)),X1))
      | ~ class_Groups_Oordered__comm__monoid__add(X2) ),
    inference(flattening,[],[f2300]) ).

fof(f2396,plain,
    ! [X0] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0)))
      | ~ class_Rings_Olinordered__semidom(X0) ),
    inference(ennf_transformation,[],[f1346]) ).

fof(f3342,plain,
    ( ? [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X0)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    inference(ennf_transformation,[],[f2295]) ).

fof(f3785,plain,
    ( ? [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X0)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
   => ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK78)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    introduced(choice_axiom,[]) ).

fof(f3786,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK78)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK78])],[f3342,f3785]) ).

fof(f3788,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    inference(cnf_transformation,[],[f2]) ).

fof(f3790,plain,
    ! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(cnf_transformation,[],[f1271]) ).

fof(f3797,plain,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X0)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2)),X0))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2)),X1))
      | ~ class_Groups_Oordered__comm__monoid__add(X2) ),
    inference(cnf_transformation,[],[f2301]) ).

fof(f3889,plain,
    ! [X0] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0)))
      | ~ class_Rings_Olinordered__semidom(X0) ),
    inference(cnf_transformation,[],[f2396]) ).

fof(f5316,plain,
    class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1123]) ).

fof(f5331,plain,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1138]) ).

fof(f5462,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK78)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    inference(cnf_transformation,[],[f3786]) ).

cnf(c_50,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    inference(cnf_transformation,[],[f3788]) ).

cnf(c_52,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(cnf_transformation,[],[f3790]) ).

cnf(c_59,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0)),X1))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),X2))
    | ~ class_Groups_Oordered__comm__monoid__add(X0)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X0),X1),X2))) ),
    inference(cnf_transformation,[],[f3797]) ).

cnf(c_145,plain,
    ( ~ class_Rings_Olinordered__semidom(X0)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0))) ),
    inference(cnf_transformation,[],[f3889]) ).

cnf(c_1536,plain,
    class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f5316]) ).

cnf(c_1551,plain,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f5331]) ).

cnf(c_1682,negated_conjecture,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK78)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    inference(cnf_transformation,[],[f5462]) ).

cnf(c_2620,plain,
    ( ~ class_Rings_Olinordered__semidom(X0)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0))) ),
    inference(prop_impl_just,[status(thm)],[c_145]) ).

cnf(c_20580,plain,
    ( X0 != tc_RealDef_Oreal
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0))) ),
    inference(resolution_lifted,[status(thm)],[c_2620,c_1551]) ).

cnf(c_20581,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
    inference(unflattening,[status(thm)],[c_20580]) ).

cnf(c_46802,plain,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r))
    | ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_46907,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK78)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_46908,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_46907,c_46802,c_20581,c_1682,c_50,c_1536]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW208+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 18:54:41 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 36.20/5.77  % SZS status Started for theBenchmark.p
% 36.20/5.77  % SZS status Theorem for theBenchmark.p
% 36.20/5.77  
% 36.20/5.77  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 36.20/5.77  
% 36.20/5.77  ------  iProver source info
% 36.20/5.77  
% 36.20/5.77  git: date: 2023-05-31 18:12:56 +0000
% 36.20/5.77  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 36.20/5.77  git: non_committed_changes: false
% 36.20/5.77  git: last_make_outside_of_git: false
% 36.20/5.77  
% 36.20/5.77  ------ Parsing...
% 36.20/5.77  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 36.20/5.77  
% 36.20/5.77  ------ Preprocessing... sf_s  rm: 24 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sf_s  rm: 20 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e 
% 36.20/5.77  
% 36.20/5.77  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  scvd_s sp: 11 0s scvd_e  snvd_s sp: 0 0s snvd_e 
% 36.20/5.77  
% 36.20/5.77  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 36.20/5.77  ------ Proving...
% 36.20/5.77  ------ Problem Properties 
% 36.20/5.77  
% 36.20/5.77  
% 36.20/5.77  clauses                                 1496
% 36.20/5.77  conjectures                             1
% 36.20/5.77  EPR                                     165
% 36.20/5.77  Horn                                    1270
% 36.20/5.77  unary                                   533
% 36.20/5.77  binary                                  494
% 36.20/5.77  lits                                    3156
% 36.20/5.77  lits eq                                 778
% 36.20/5.77  fd_pure                                 0
% 36.20/5.77  fd_pseudo                               0
% 36.20/5.77  fd_cond                                 108
% 36.20/5.77  fd_pseudo_cond                          68
% 36.20/5.77  AC symbols                              0
% 36.20/5.77  
% 36.20/5.77  ------ Input Options Time Limit: Unbounded
% 36.20/5.77  
% 36.20/5.77  
% 36.20/5.77  ------ 
% 36.20/5.77  Current options:
% 36.20/5.77  ------ 
% 36.20/5.77  
% 36.20/5.77  
% 36.20/5.77  
% 36.20/5.77  
% 36.20/5.77  ------ Proving...
% 36.20/5.77  
% 36.20/5.77  
% 36.20/5.77  % SZS status Theorem for theBenchmark.p
% 36.20/5.77  
% 36.20/5.77  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 36.20/5.77  
% 36.20/5.78  
%------------------------------------------------------------------------------