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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV055+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n016.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 03:16:19 PM UTC 2026

% Result   : Theorem 6.92s 6.74s
% Output   : CNFRefutation 6.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   87 (  36 unt;   3 def)
%            Number of atoms       :  248 (  59 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  234 (  85   ~;  83   |;  55   &)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  12 con; 0-3 aty)
%            Number of variables   :   91 (   0 sgn  73   !;  18   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( gt(X1,X0)
     => leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( leq(X0,pred(X1))
    <=> gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).

fof(f29,axiom,
    ! [X0] : plus(X0,n1) = succ(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).

fof(f30,axiom,
    ! [X0] : plus(n1,X0) = succ(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).

fof(f40,axiom,
    ! [X0] : pred(succ(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).

fof(f41,axiom,
    ! [X0] : succ(pred(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_pred) ).

fof(f53,conjecture,
    ( ( ! [X0,X1] :
          ( ( leq(X0,minus(pv10,n1))
            & leq(n0,X0) )
         => sum(n0,minus(n5,n1),a_select3(q,X0,X1)) = n1 )
      & leq(pv10,minus(n135300,n1))
      & leq(n0,pv10) )
   => ( ! [X4,X5] :
          ( ( leq(X4,minus(pv10,n1))
            & leq(n0,X4) )
         => sum(n0,minus(n5,n1),a_select3(q,X4,X5)) = n1 )
      & ! [X2,X3] :
          ( ( leq(X2,minus(n0,n1))
            & leq(n0,X2) )
         => a_select3(q,pv10,X2) = divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))))) )
      & leq(pv10,minus(n135300,n1))
      & leq(n0,pv10) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0037) ).

fof(f54,negated_conjecture,
    ~ ( ( ! [X0,X1] :
            ( ( leq(X0,minus(pv10,n1))
              & leq(n0,X0) )
           => sum(n0,minus(n5,n1),a_select3(q,X0,X1)) = n1 )
        & leq(pv10,minus(n135300,n1))
        & leq(n0,pv10) )
     => ( ! [X4,X5] :
            ( ( leq(X4,minus(pv10,n1))
              & leq(n0,X4) )
           => sum(n0,minus(n5,n1),a_select3(q,X4,X5)) = n1 )
        & ! [X2,X3] :
            ( ( leq(X2,minus(n0,n1))
              & leq(n0,X2) )
           => a_select3(q,pv10,X2) = divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))))) )
        & leq(pv10,minus(n135300,n1))
        & leq(n0,pv10) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f85,axiom,
    ! [X0] :
      ( ( leq(X0,n0)
        & leq(n0,X0) )
     => X0 = n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | leq(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f143,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,minus(pv10,n1))
        | ~ leq(n0,X0)
        | sum(n0,minus(n5,n1),a_select3(q,X0,X1)) = n1 )
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv10)
    & ( ? [X4,X5] :
          ( leq(X4,minus(pv10,n1))
          & leq(n0,X4)
          & n1 != sum(n0,minus(n5,n1),a_select3(q,X4,X5)) )
      | ? [X2,X3] :
          ( leq(X2,minus(n0,n1))
          & leq(n0,X2)
          & a_select3(q,pv10,X2) != divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))))) )
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv10) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f144,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,minus(pv10,n1))
        | ~ leq(n0,X0)
        | sum(n0,minus(n5,n1),a_select3(q,X0,X1)) = n1 )
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv10)
    & ( ? [X4,X5] :
          ( leq(X4,minus(pv10,n1))
          & leq(n0,X4)
          & n1 != sum(n0,minus(n5,n1),a_select3(q,X4,X5)) )
      | ? [X2,X3] :
          ( leq(X2,minus(n0,n1))
          & leq(n0,X2)
          & a_select3(q,pv10,X2) != divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))))) )
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv10) ) ),
    inference(flattening,[],[f143]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ leq(X0,n0)
      | ~ leq(n0,X0)
      | X0 = n0 ),
    inference(ennf_transformation,[],[f85]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ leq(X0,n0)
      | ~ leq(n0,X0)
      | X0 = n0 ),
    inference(flattening,[],[f149]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ( ~ leq(X0,pred(X1))
        | gt(X1,X0) )
      & ( ~ gt(X1,X0)
        | leq(X0,pred(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f202,plain,
    ( ! [X2,X3] :
        ( ~ leq(X2,minus(pv10,n1))
        | ~ leq(n0,X2)
        | n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3)) )
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv10)
    & ( sP4
      | ? [X0,X1] :
          ( leq(X0,minus(n0,n1))
          & leq(n0,X0)
          & a_select3(q,pv10,X0) != divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))))) )
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv10) ) ),
    inference(rectify,[],[f165]) ).

fof(f203,plain,
    ( ! [X2,X3] :
        ( ~ leq(X2,minus(pv10,n1))
        | ~ leq(n0,X2)
        | n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3)) )
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv10)
    & ( sP4
      | ( leq(sK34,minus(n0,n1))
        & leq(n0,sK34)
        & a_select3(q,pv10,sK34) != divide(sqrt(times(minus(a_select3(center,sK34,n0),a_select2(x,pv10)),minus(a_select3(center,sK34,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK35,n0),a_select2(x,pv10)),minus(a_select3(center,sK35,n0),a_select2(x,pv10)))))) )
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv10) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X0,sK34),skolemize(X1,sK35)],[f202]) ).

fof(f206,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( ~ leq(X0,pred(X1))
      | gt(X1,X0) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f284,plain,
    ! [X0] : succ(X0) = plus(X0,n1),
    inference(cnf_transformation,[],[f29]) ).

fof(f285,plain,
    ! [X0] : succ(X0) = plus(n1,X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f294,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f295,plain,
    ! [X0] : pred(succ(X0)) = X0,
    inference(cnf_transformation,[],[f40]) ).

fof(f296,plain,
    ! [X0] : succ(pred(X0)) = X0,
    inference(cnf_transformation,[],[f41]) ).

fof(f317,plain,
    ! [X2,X3] :
      ( ~ leq(X2,minus(pv10,n1))
      | ~ leq(n0,X2)
      | n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3)) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f318,plain,
    leq(pv10,minus(n135300,n1)),
    inference(cnf_transformation,[],[f203]) ).

fof(f319,plain,
    leq(n0,pv10),
    inference(cnf_transformation,[],[f203]) ).

fof(f320,plain,
    ( sP4
    | leq(sK34,minus(n0,n1))
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(n0,pv10) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f321,plain,
    ( sP4
    | leq(n0,sK34)
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(n0,pv10) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f353,plain,
    ! [X0] :
      ( ~ leq(X0,n0)
      | ~ leq(n0,X0)
      | n0 = X0 ),
    inference(cnf_transformation,[],[f150]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( ~ leq(X0,minus(X1,n1))
      | gt(X1,X0) ),
    inference(definition_unfolding,[],[f211,f294]) ).

fof(f369,plain,
    ! [X0] : plus(X0,n1) = plus(n1,X0),
    inference(definition_unfolding,[],[f285,f284]) ).

fof(f378,plain,
    ! [X0] : minus(plus(X0,n1),n1) = X0,
    inference(definition_unfolding,[],[f295,f294,f284]) ).

fof(f379,plain,
    ! [X0] : plus(minus(X0,n1),n1) = X0,
    inference(definition_unfolding,[],[f296,f284,f294]) ).

tcf(c_51,plain,
    ! [X0: $i] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( leq(X1,X0)
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] :
      ( gt(X1,X0)
      | ~ leq(X0,minus(X1,n1)) ),
    inference(cnf_transformation,[],[f363]) ).

tcf(c_129,plain,
    ! [X0: $i] : plus(X0,n1) = plus(n1,X0),
    inference(cnf_transformation,[],[f369]) ).

tcf(c_138,plain,
    ! [X0: $i] : minus(plus(X0,n1),n1) = X0,
    inference(cnf_transformation,[],[f378]) ).

tcf(c_139,plain,
    ! [X0: $i] : plus(minus(X0,n1),n1) = X0,
    inference(cnf_transformation,[],[f379]) ).

tcf(c_161,negated_conjecture,
    ( sP4
    | leq(n0,sK34)
    | ~ leq(n0,pv10)
    | ~ leq(pv10,minus(n135300,n1)) ),
    inference(cnf_transformation,[],[f321]) ).

tcf(c_162,negated_conjecture,
    ( sP4
    | leq(sK34,minus(n0,n1))
    | ~ leq(n0,pv10)
    | ~ leq(pv10,minus(n135300,n1)) ),
    inference(cnf_transformation,[],[f320]) ).

tcf(c_163,negated_conjecture,
    leq(n0,pv10),
    inference(cnf_transformation,[],[f319]) ).

tcf(c_164,negated_conjecture,
    leq(pv10,minus(n135300,n1)),
    inference(cnf_transformation,[],[f318]) ).

tcf(c_165,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ( sum(n0,minus(n5,n1),a_select3(q,X0,X1)) = n1 )
      | ~ leq(n0,X0)
      | ~ leq(X0,minus(pv10,n1)) ),
    inference(cnf_transformation,[],[f317]) ).

tcf(c_196,plain,
    ! [X0: $i] :
      ( ( X0 = n0 )
      | ~ leq(n0,X0)
      | ~ leq(X0,n0) ),
    inference(cnf_transformation,[],[f353]) ).

tcf(c_296,negated_conjecture,
    ( sP4
    | leq(n0,sK34) ),
    inference(global_subsumption_just,[status(thm)],[c_161,c_163,c_164,c_161]) ).

tcf(c_298,negated_conjecture,
    ( sP4
    | leq(sK34,minus(n0,n1)) ),
    inference(global_subsumption_just,[status(thm)],[c_162,c_163,c_164,c_162]) ).

tcf(c_394,plain,
    ( leq(n0,sK34)
    | sP4 ),
    inference(prop_impl_just,[status(thm)],[c_296]) ).

tcf(c_395,plain,
    ( sP4
    | leq(n0,sK34) ),
    inference(renaming,[status(thm)],[c_394]) ).

tcf(c_396,plain,
    ( leq(sK34,minus(n0,n1))
    | sP4 ),
    inference(prop_impl_just,[status(thm)],[c_298]) ).

tcf(c_397,plain,
    ( sP4
    | leq(sK34,minus(n0,n1)) ),
    inference(renaming,[status(thm)],[c_396]) ).

tcf(c_1703,plain,
    ! [X0: $i] : plus(n1,minus(X0,n1)) = X0,
    inference(demodulation,[status(thm)],[c_139,c_129]) ).

tcf(c_6002,definition,
    iPr_def_10 = minus(pv10,n1),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_6003,definition,
    iPr_def_11 = minus(n5,n1),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_6005,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ( sum(n0,iPr_def_11,a_select3(q,X0,X1)) = n1 )
      | ~ leq(n0,X0)
      | ~ leq(X0,iPr_def_10) ),
    inference(demodulation,[status(thm)],[c_165,c_6003,c_6002]) ).

tcf(c_9121,plain,
    plus(n1,iPr_def_11) = n5,
    inference(superposition,[status(thm)],[c_6003,c_1703]) ).

tcf(c_9131,plain,
    plus(iPr_def_11,n1) = n5,
    inference(demodulation,[status(thm)],[c_9121,c_129]) ).

tcf(c_9215,plain,
    minus(n5,n1) = iPr_def_11,
    inference(superposition,[status(thm)],[c_9131,c_138]) ).

tcf(c_9355,plain,
    ( sP4
    | gt(n0,sK34) ),
    inference(superposition,[status(thm)],[c_397,c_57]) ).

tcf(c_10478,plain,
    ( sP4
    | leq(sK34,n0) ),
    inference(superposition,[status(thm)],[c_9355,c_54]) ).

fof(f164,definition,
    ( ~ sP4
    | ? [X4,X5] :
        ( leq(X4,minus(pv10,n1))
        & leq(n0,X4)
        & n1 != sum(n0,minus(n5,n1),a_select3(q,X4,X5)) ) ),
    introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).

fof(f165,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,minus(pv10,n1))
        | ~ leq(n0,X0)
        | sum(n0,minus(n5,n1),a_select3(q,X0,X1)) = n1 )
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv10)
    & ( sP4
      | ? [X2,X3] :
          ( leq(X2,minus(n0,n1))
          & leq(n0,X2)
          & a_select3(q,pv10,X2) != divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))))) )
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv10) ) ),
    inference(definition_folding,[],[f144,f164]) ).

fof(f199,plain,
    ( ~ sP4
    | ? [X4,X5] :
        ( leq(X4,minus(pv10,n1))
        & leq(n0,X4)
        & n1 != sum(n0,minus(n5,n1),a_select3(q,X4,X5)) ) ),
    inference(nnf_transformation,[],[f164]) ).

fof(f200,plain,
    ( ~ sP4
    | ? [X0,X1] :
        ( leq(X0,minus(pv10,n1))
        & leq(n0,X0)
        & n1 != sum(n0,minus(n5,n1),a_select3(q,X0,X1)) ) ),
    inference(rectify,[],[f199]) ).

fof(f201,plain,
    ( ~ sP4
    | ( leq(sK32,minus(pv10,n1))
      & leq(n0,sK32)
      & n1 != sum(n0,minus(n5,n1),a_select3(q,sK32,sK33)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33]),skolemize(X0,sK32),skolemize(X1,sK33)],[f200]) ).

fof(f314,plain,
    ( ~ sP4
    | leq(sK32,minus(pv10,n1)) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f315,plain,
    ( ~ sP4
    | leq(n0,sK32) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f316,plain,
    ( ~ sP4
    | n1 != sum(n0,minus(n5,n1),a_select3(q,sK32,sK33)) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_157,plain,
    ( ~ sP4
    | ( sum(n0,minus(n5,n1),a_select3(q,sK32,sK33)) != n1 ) ),
    inference(cnf_transformation,[],[f316]) ).

tcf(c_158,plain,
    ( leq(n0,sK32)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f315]) ).

tcf(c_159,plain,
    ( leq(sK32,minus(pv10,n1))
    | ~ sP4 ),
    inference(cnf_transformation,[],[f314]) ).

tcf(c_9110,plain,
    ! [X0: $i] :
      ( ( sum(n0,iPr_def_11,a_select3(q,sK32,X0)) = n1 )
      | ~ sP4
      | ~ leq(sK32,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_158,c_6005]) ).

tcf(c_9179,plain,
    ( leq(sK32,iPr_def_10)
    | ~ sP4 ),
    inference(light_normalisation,[status(thm)],[c_159,c_6002]) ).

tcf(c_9186,plain,
    ! [X0: $i] :
      ( ( sum(n0,iPr_def_11,a_select3(q,sK32,X0)) = n1 )
      | ~ sP4 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_9110,c_9179]) ).

tcf(c_12349,plain,
    ( ~ sP4
    | ( sum(n0,iPr_def_11,a_select3(q,sK32,sK33)) != n1 ) ),
    inference(light_normalisation,[status(thm)],[c_157,c_9215]) ).

tcf(c_12352,plain,
    ~ sP4,
    inference(forward_subsumption_resolution,[status(thm)],[c_12349,c_9186]) ).

tcf(c_12353,plain,
    leq(sK34,n0),
    inference(backward_subsumption_resolution,[status(thm)],[c_10478,c_12352]) ).

tcf(c_12354,plain,
    gt(n0,sK34),
    inference(backward_subsumption_resolution,[status(thm)],[c_9355,c_12352]) ).

tcf(c_12357,plain,
    leq(n0,sK34),
    inference(backward_subsumption_resolution,[status(thm)],[c_395,c_12352]) ).

tcf(c_12965,plain,
    ( ( n0 = sK34 )
    | ~ leq(sK34,n0) ),
    inference(superposition,[status(thm)],[c_12357,c_196]) ).

tcf(c_12971,plain,
    n0 = sK34,
    inference(forward_subsumption_resolution,[status(thm)],[c_12965,c_12353]) ).

tcf(c_12975,plain,
    gt(n0,n0),
    inference(demodulation,[status(thm)],[c_12354,c_12971]) ).

tcf(c_12977,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12975,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV055+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.38  % Computer : n016.cluster.edu
% 0.10/5.38  % Model    : x86_64 x86_64
% 0.10/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38  % Memory   : 8046.5625MB
% 0.10/5.38  % OS       : Linux 6.8.0-71-generic
% 0.10/5.38  % CPULimit : 300
% 0.10/5.38  % WCLimit  : 300
% 0.10/5.38  % DateTime : Thu Sep 24 18:30:03 UTC 2026
% 0.10/5.38  % CPUTime  : 
% 0.10/5.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.42  Running first-order theorem proving
% 0.15/5.42  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
% 0.15/5.43  
% 0.15/5.43  % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43  
% 0.15/5.43  % Detected problem language: tptp
% 0.15/5.45  % Proving...
% 6.92/6.74  % SZS status Started for theBenchmark.p
% 6.92/6.74  % SZS status Theorem for theBenchmark.p
% 6.92/6.74  
% 6.92/6.74  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.92/6.74  
% 6.92/6.74  % ------  iProver source info
% 6.92/6.74  
% 6.92/6.74  % git: date: 2026-07-19 20:42:38 +0200
% 6.92/6.74  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.92/6.74  % git: non_committed_changes: false
% 6.92/6.74  
% 6.92/6.74  % ------ Parsing...
% 6.92/6.74  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 6.92/6.74  
% 6.92/6.74  % ------ Preprocessing... sup_sim: 15  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 6.92/6.74  
% 6.92/6.74  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 6.92/6.74  
% 6.92/6.74  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 6.92/6.74  % ------ Proving...
% 6.92/6.74  % ------ Problem Properties 
% 6.92/6.74  
% 6.92/6.74  % 
% 6.92/6.74  % clauses                               159
% 6.92/6.74  % conjectures                           3
% 6.92/6.74  % EPR                                   47
% 6.92/6.74  % Horn                                  107
% 6.92/6.74  % unary                                 58
% 6.92/6.74  % binary                                40
% 6.92/6.74  % lits                                  506
% 6.92/6.74  % lits eq                               119
% 6.92/6.74  % fd_pure                               0
% 6.92/6.74  % fd_pseudo                             0
% 6.92/6.74  % fd_cond                               6
% 6.92/6.74  % fd_pseudo_cond                        4
% 6.92/6.74  % AC symbols                            0
% 6.92/6.74  
% 6.92/6.74  % ------ Schedule dynamic 5 is on 
% 6.92/6.74  
% 6.92/6.74  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.92/6.74  
% 6.92/6.74  
% 6.92/6.74  % ------ 
% 6.92/6.74  % Current options:
% 6.92/6.74  % ------ 
% 6.92/6.74  
% 6.92/6.74  
% 6.92/6.74  % 
% 6.92/6.74  
% 6.92/6.74  % ------ Proving...
% 6.92/6.74  % 
% 6.92/6.74  
% 6.92/6.74  % SZS status Theorem for theBenchmark.p
% 6.92/6.74  
% 6.92/6.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.92/6.75  
% 6.92/6.75  
%------------------------------------------------------------------------------