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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM926+6 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n003.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 02:27:31 PM UTC 2026

% Result   : Theorem 15.76s 3.67s
% Output   : CNFRefutation 15.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   67 (  41 unt;   2 def)
%            Number of atoms       :  122 (  62 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   74 (  37   ~;  31   |;   0   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   9 con; 0-3 aty)
%            Number of variables   :   48 (   0 sgn  36   !;  12   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0] :
      ( zero_neq_one(X0)
     => ti(X0,one_one(X0)) = one_one(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Groups_Oone__class_Oone_0_res) ).

fof(f70,axiom,
    ti(int,t) = t,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_t_____res) ).

fof(f71,axiom,
    ord_less_eq(int,one_one(int),t),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_tpos) ).

fof(f72,axiom,
    ( t = one_one(int)
   => ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).

fof(f73,axiom,
    ( ord_less(int,one_one(int),t)
   => ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).

fof(f157,axiom,
    ! [X0] : number_number_of(int,X0) = ti(int,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_number__of__is__id) ).

fof(f197,axiom,
    ! [X0] : bit0(X0) = plus_plus(int,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_Bit0__def) ).

fof(f222,axiom,
    ! [X0] : bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_Bit1__def) ).

fof(f398,axiom,
    ! [X0] :
      ( order(X0)
     => ! [X1,X2] :
          ( ord_less_eq(X0,X1,X2)
         => ( ti(X0,X1) != ti(X0,X2)
           => ord_less(X0,X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_327_order__le__neq__implies__less) ).

fof(f584,axiom,
    zero_neq_one(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Ozero__neq__one) ).

fof(f591,axiom,
    order(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Orderings_Oorder) ).

fof(f653,conjecture,
    ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f654,negated_conjecture,
    ~ ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
    inference(negated_conjecture,[status(cth)],[f653]) ).

fof(f658,plain,
    ! [X0] :
      ( ~ zero_neq_one(X0)
      | ti(X0,one_one(X0)) = one_one(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f696,plain,
    ( t != one_one(int)
    | ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f697,plain,
    ( ~ ord_less(int,one_one(int),t)
    | ? [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f938,plain,
    ! [X0] :
      ( ~ order(X0)
      | ! [X1,X2] :
          ( ~ ord_less_eq(X0,X1,X2)
          | ti(X0,X1) = ti(X0,X2)
          | ord_less(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f398]) ).

fof(f939,plain,
    ! [X0] :
      ( ~ order(X0)
      | ! [X1,X2] :
          ( ~ ord_less_eq(X0,X1,X2)
          | ti(X0,X1) = ti(X0,X2)
          | ord_less(X0,X1,X2) ) ),
    inference(flattening,[],[f938]) ).

fof(f1117,plain,
    ! [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
    inference(ennf_transformation,[],[f654]) ).

fof(f1131,plain,
    ( t != one_one(int)
    | plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK1,number_number_of(nat,bit0(bit1(pls))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f696]) ).

fof(f1132,plain,
    ( ~ ord_less(int,one_one(int),t)
    | plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK3,number_number_of(nat,bit0(bit1(pls))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f697]) ).

fof(f1305,plain,
    ! [X0] :
      ( ~ zero_neq_one(X0)
      | one_one(X0) = ti(X0,one_one(X0)) ),
    inference(cnf_transformation,[],[f658]) ).

fof(f1381,plain,
    t = ti(int,t),
    inference(cnf_transformation,[],[f70]) ).

fof(f1382,plain,
    ord_less_eq(int,one_one(int),t),
    inference(cnf_transformation,[],[f71]) ).

fof(f1383,plain,
    ( t != one_one(int)
    | plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK1,number_number_of(nat,bit0(bit1(pls))))) ),
    inference(cnf_transformation,[],[f1131]) ).

fof(f1384,plain,
    ( ~ ord_less(int,one_one(int),t)
    | plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK3,number_number_of(nat,bit0(bit1(pls))))) ),
    inference(cnf_transformation,[],[f1132]) ).

fof(f1497,plain,
    ! [X0] : ti(int,X0) = number_number_of(int,X0),
    inference(cnf_transformation,[],[f157]) ).

fof(f1559,plain,
    ! [X0] : bit0(X0) = plus_plus(int,X0,X0),
    inference(cnf_transformation,[],[f197]) ).

fof(f1584,plain,
    ! [X0] : bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0),
    inference(cnf_transformation,[],[f222]) ).

fof(f1841,plain,
    ! [X2,X0,X1] :
      ( ~ order(X0)
      | ~ ord_less_eq(X0,X1,X2)
      | ti(X0,X1) = ti(X0,X2)
      | ord_less(X0,X1,X2) ),
    inference(cnf_transformation,[],[f939]) ).

fof(f2083,plain,
    zero_neq_one(int),
    inference(cnf_transformation,[],[f584]) ).

fof(f2090,plain,
    order(int),
    inference(cnf_transformation,[],[f591]) ).

fof(f2152,plain,
    ! [X0,X1] : plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
    inference(cnf_transformation,[],[f1117]) ).

fof(f2157,plain,
    ( t != one_one(int)
    | plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK0,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,sK1,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))) ),
    inference(definition_unfolding,[],[f1383,f1559,f1559,f1584,f1559,f1584,f1559,f1584]) ).

fof(f2158,plain,
    ( ~ ord_less(int,one_one(int),t)
    | plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) = plus_plus(int,power_power(int,sK2,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,sK3,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))) ),
    inference(definition_unfolding,[],[f1384,f1559,f1559,f1584,f1559,f1584,f1559,f1584]) ).

fof(f2375,plain,
    ! [X0,X1] : plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) != plus_plus(int,power_power(int,X0,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,X1,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))),
    inference(definition_unfolding,[],[f2152,f1559,f1584,f1559,f1584,f1559,f1559,f1584]) ).

tcf(c_55,plain,
    ! [X0: $i] :
      ( ( ti(X0,one_one(X0)) = one_one(X0) )
      | ~ zero_neq_one(X0) ),
    inference(cnf_transformation,[],[f1305]) ).

tcf(c_131,plain,
    ti(int,t) = t,
    inference(cnf_transformation,[],[f1381]) ).

tcf(c_132,plain,
    ord_less_eq(int,one_one(int),t),
    inference(cnf_transformation,[],[f1382]) ).

tcf(c_133,plain,
    ( ( plus_plus(int,power_power(int,sK0,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,sK1,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))) = plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) )
    | ( one_one(int) != t ) ),
    inference(cnf_transformation,[],[f2157]) ).

tcf(c_134,plain,
    ( ( plus_plus(int,power_power(int,sK2,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,sK3,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))) = plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) )
    | ~ ord_less(int,one_one(int),t) ),
    inference(cnf_transformation,[],[f2158]) ).

tcf(c_245,plain,
    ! [X0: $i] : ti(int,X0) = number_number_of(int,X0),
    inference(cnf_transformation,[],[f1497]) ).

tcf(c_585,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ord_less(X0,X1,X2)
      | ( ti(X0,X1) = ti(X0,X2) )
      | ~ order(X0)
      | ~ ord_less_eq(X0,X1,X2) ),
    inference(cnf_transformation,[],[f1841]) ).

tcf(c_825,plain,
    zero_neq_one(int),
    inference(cnf_transformation,[],[f2083]) ).

tcf(c_832,plain,
    order(int),
    inference(cnf_transformation,[],[f2090]) ).

tcf(c_894,negated_conjecture,
    ! [X0: $i,X1: $i] : plus_plus(int,power_power(int,X0,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,X1,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))) != plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),
    inference(cnf_transformation,[],[f2375]) ).

tcf(c_1613,plain,
    ! [X0: $i] :
      ( ( ti(X0,one_one(X0)) = one_one(X0) )
      | ~ zero_neq_one(X0) ),
    inference(prop_impl_just,[status(thm)],[c_55]) ).

tcf(c_1703,plain,
    ( ( plus_plus(int,power_power(int,sK0,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,sK1,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))) = plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) )
    | ( one_one(int) != t ) ),
    inference(prop_impl_just,[status(thm)],[c_133]) ).

tcf(c_1705,plain,
    ( ( plus_plus(int,power_power(int,sK2,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),power_power(int,sK3,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))))) = plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)) )
    | ~ ord_less(int,one_one(int),t) ),
    inference(prop_impl_just,[status(thm)],[c_134]) ).

tcf(c_3913,plain,
    ~ ord_less(int,one_one(int),t),
    inference(backward_subsumption_resolution,[status(thm)],[c_1705,c_894]) ).

tcf(c_3914,plain,
    one_one(int) != t,
    inference(backward_subsumption_resolution,[status(thm)],[c_1703,c_894]) ).

tcf(c_6878,plain,
    number_number_of(int,t) = t,
    inference(demodulation,[status(thm)],[c_131,c_245]) ).

tcf(c_13043,plain,
    ! [X0: $i] :
      ( ( ti(X0,one_one(X0)) = one_one(X0) )
      | ( X0 != int ) ),
    inference(resolution_lifted,[status(thm)],[c_1613,c_825]) ).

tcf(c_13044,plain,
    ti(int,one_one(int)) = one_one(int),
    inference(unflattening,[status(thm)],[c_13043]) ).

tcf(c_16955,definition,
    iPr_def_10 = one_one(int),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_16956,definition,
    iPr_def_11 = number_number_of(int,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_16971,plain,
    iPr_def_10 != t,
    inference(demodulation,[status(thm)],[c_3914]) ).

tcf(c_16972,plain,
    ~ ord_less(int,iPr_def_10,t),
    inference(demodulation,[status(thm)],[c_3913]) ).

tcf(c_40945,plain,
    ord_less_eq(int,iPr_def_10,t),
    inference(light_normalisation,[status(thm)],[c_132,c_16955]) ).

tcf(c_41119,plain,
    ti(int,iPr_def_10) = iPr_def_10,
    inference(light_normalisation,[status(thm)],[c_13044,c_16955]) ).

tcf(c_41120,plain,
    iPr_def_10 = iPr_def_11,
    inference(demodulation,[status(thm)],[c_41119,c_245,c_16956]) ).

tcf(c_41126,plain,
    number_number_of(int,iPr_def_10) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_16956,c_41120]) ).

tcf(c_54836,plain,
    ( ord_less(int,iPr_def_10,t)
    | ( ti(int,t) = ti(int,iPr_def_10) )
    | ~ order(int) ),
    inference(superposition,[status(thm)],[c_40945,c_585]) ).

tcf(c_54894,plain,
    ti(int,t) = ti(int,iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_54836,c_16972,c_832]) ).

tcf(c_55966,plain,
    t = iPr_def_10,
    inference(demodulation,[status(thm)],[c_54894,c_245,c_6878,c_41126]) ).

tcf(c_55986,plain,
    iPr_def_10 != iPr_def_10,
    inference(demodulation,[status(thm)],[c_16971,c_55966]) ).

tcf(c_55987,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_55986]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM926+6 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.34  % Computer : n003.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8046.5625MB
% 0.10/0.34  % OS       : Linux 6.8.0-71-generic
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Thu Sep 24 05:46:50 UTC 2026
% 0.10/0.34  % CPUTime  : 
% 0.10/0.34  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.38  Running first-order theorem proving
% 0.14/0.38  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
% 0.14/0.39  
% 0.14/0.39  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.39  
% 0.14/0.39  % Detected problem language: tptp
% 0.14/0.41  % Proving...
% 15.76/3.67  % SZS status Started for theBenchmark.p
% 15.76/3.67  % SZS status Theorem for theBenchmark.p
% 15.76/3.67  
% 15.76/3.67  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.76/3.67  
% 15.76/3.67  % ------  iProver source info
% 15.76/3.67  
% 15.76/3.67  % git: date: 2026-07-19 20:42:38 +0200
% 15.76/3.67  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.76/3.67  % git: non_committed_changes: false
% 15.76/3.67  
% 15.76/3.67  % ------ Parsing...
% 15.76/3.67  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 15.76/3.67  
% 15.76/3.67  % ------ Preprocessing... sup_sim: 288  sf_s  rm: 6 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e % 
% 15.76/3.67  
% 15.76/3.67  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 15.76/3.67  
% 15.76/3.67  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e  sf_s  rm: 0 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 15.76/3.67  % ------ Proving...
% 15.76/3.67  % ------ Problem Properties 
% 15.76/3.67  
% 15.76/3.67  % 
% 15.76/3.67  % clauses                               922
% 15.76/3.67  % conjectures                           0
% 15.76/3.67  % EPR                                   49
% 15.76/3.67  % Horn                                  831
% 15.76/3.67  % unary                                 372
% 15.76/3.67  % binary                                323
% 15.76/3.67  % lits                                  1772
% 15.76/3.67  % lits eq                               633
% 15.76/3.67  % fd_pure                               0
% 15.76/3.67  % fd_pseudo                             0
% 15.76/3.67  % fd_cond                               24
% 15.76/3.67  % fd_pseudo_cond                        9
% 15.76/3.67  % AC symbols                            0
% 15.76/3.67  
% 15.76/3.67  % ------ Schedule dynamic 5 is on 
% 15.76/3.67  
% 15.76/3.67  % ------ no conjectures: strip conj schedule 
% 15.76/3.67  
% 15.76/3.67  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 15.76/3.67  
% 15.76/3.67  
% 15.76/3.67  % ------ 
% 15.76/3.67  % Current options:
% 15.76/3.67  % ------ 
% 15.76/3.67  
% 15.76/3.67  
% 15.76/3.67  % 
% 15.76/3.67  
% 15.76/3.67  % ------ Proving...
% 15.76/3.67  % 
% 15.76/3.67  
% 15.76/3.67  % SZS status Theorem for theBenchmark.p
% 15.76/3.67  
% 15.76/3.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.76/3.67  
% 15.76/3.67  
%------------------------------------------------------------------------------