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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : ITP018+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n019.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 01:47:50 PM UTC 2026

% Result   : Theorem 4.36s 1.28s
% Output   : CNFRefutation 4.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   67 (  30 unt;  11 def)
%            Number of atoms       :  193 (  34 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  126 (  56   ~;  50   |;   4   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 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  :   15 (  13 usr;  12 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   3 con; 0-2 aty)
%            Number of variables   :   64 (   0 sgn  62   !;   2   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1,X2] :
      ( mem(X2,arr(X0,X1))
     => ! [X3] :
          ( mem(X3,X0)
         => mem(ap(X2,X3),X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).

fof(f13,axiom,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => ne(ty_2Epair_2Eprod(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ne_ty_2Epair_2Eprod) ).

fof(f15,axiom,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => mem(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Ebinary__ieee_2Efloat(X0,X1))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Efloat__plus__min) ).

fof(f17,axiom,
    ! [X0] :
      ( ne(X0)
     => mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2Ethe__value) ).

fof(f25,axiom,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => ! [X2] :
              ( mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1))
             => ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Efloat__to__real__negate) ).

fof(f26,axiom,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eulp) ).

fof(f29,conjecture,
    ! [X0] :
      ( ne(X0)
     => ! [X1] :
          ( ne(X1)
         => ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eneg__ulp) ).

fof(f30,negated_conjecture,
    ~ ! [X0] :
        ( ne(X0)
       => ! [X1] :
            ( ne(X1)
           => ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) ) ),
    inference(negated_conjecture,[status(cth)],[f29]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ~ mem(X2,arr(X0,X1))
      | ! [X3] :
          ( ~ mem(X3,X0)
          | mem(ap(X2,X3),X1) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ ne(X0)
      | ! [X1] :
          ( ~ ne(X1)
          | ne(ty_2Epair_2Eprod(X0,X1)) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f44,plain,
    ! [X0] :
      ( ~ ne(X0)
      | ! [X1] :
          ( ~ ne(X1)
          | mem(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Ebinary__ieee_2Efloat(X0,X1))) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ ne(X0)
      | mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0)) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ ne(X0)
      | ! [X1] :
          ( ~ ne(X1)
          | ! [X2] :
              ( ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1))
              | ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2)) ) ) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f53,plain,
    ! [X0] :
      ( ~ ne(X0)
      | ! [X1] :
          ( ~ ne(X1)
          | ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f55,plain,
    ? [X0] :
      ( ne(X0)
      & ? [X1] :
          ( ne(X1)
          & ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))))) ) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f62,plain,
    ( ne(sK2)
    & ne(sK3)
    & ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3))))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f55]) ).

fof(f66,plain,
    ! [X2,X3,X0,X1] :
      ( ~ mem(X2,arr(X0,X1))
      | ~ mem(X3,X0)
      | mem(ap(X2,X3),X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ ne(X0)
      | ~ ne(X1)
      | ne(ty_2Epair_2Eprod(X0,X1)) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ ne(X0)
      | ~ ne(X1)
      | mem(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Ebinary__ieee_2Efloat(X0,X1))) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ ne(X0)
      | mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0)) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( ~ ne(X0)
      | ~ ne(X1)
      | ~ mem(X2,ty_2Ebinary__ieee_2Efloat(X0,X1))
      | ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__negate(X0,X1),X2)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),X2)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ ne(X0)
      | ~ ne(X1)
      | ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f95,plain,
    ne(sK2),
    inference(cnf_transformation,[],[f62]) ).

fof(f96,plain,
    ne(sK3),
    inference(cnf_transformation,[],[f62]) ).

fof(f97,plain,
    ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3))))),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( mem(ap(X0,X3),X2)
      | ~ mem(X3,X1)
      | ~ mem(X0,arr(X1,X2)) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( ne(ty_2Epair_2Eprod(X0,X1))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i] :
      ( mem(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X0,X1)),ty_2Ebinary__ieee_2Efloat(X0,X1)))
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_67,plain,
    ! [X0: $i] :
      ( mem(c_2Ebool_2Ethe__value(X0),ty_2Ebool_2Eitself(X0))
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_78,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),ap(c_2Ebinary__ieee_2Efloat__negate(X1,X2),X0)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),X0)) )
      | ~ ne(X2)
      | ~ ne(X1)
      | ~ mem(X0,ty_2Ebinary__ieee_2Efloat(X1,X2)) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_79,plain,
    ! [X0: $i,X1: $i] :
      ( ( ap(c_2Ebinary__ieee_2Efloat__to__real(X0,X1),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1)))) = ap(c_2Ebinary__ieee_2Eulp(X0,X1),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,X1))) )
      | ~ ne(X1)
      | ~ ne(X0) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_80,negated_conjecture,
    ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3))))) != ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_81,negated_conjecture,
    ne(sK3),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_82,negated_conjecture,
    ne(sK2),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_467,definition,
    iPr_def_10 = c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_468,definition,
    iPr_def_11 = c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_469,definition,
    iPr_def_12 = c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_470,definition,
    iPr_def_13 = ty_2Epair_2Eprod(sK2,sK3),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_471,definition,
    iPr_def_14 = c_2Ebool_2Ethe__value(iPr_def_13),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_472,definition,
    iPr_def_15 = ap(iPr_def_12,iPr_def_14),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_473,definition,
    iPr_def_16 = ap(iPr_def_11,iPr_def_15),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_474,definition,
    iPr_def_17 = ap(iPr_def_10,iPr_def_16),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_475,definition,
    iPr_def_18 = c_2Ebinary__ieee_2Eulp(sK2,sK3),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_476,definition,
    iPr_def_19 = ap(iPr_def_18,iPr_def_14),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_477,definition,
    iPr_def_20 = ap(c_2Erealax_2Ereal__neg,iPr_def_19),
    introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).

tcf(c_478,negated_conjecture,
    ne(sK2),
    inference(demodulation,[status(thm)],[c_82]) ).

tcf(c_479,negated_conjecture,
    ne(sK3),
    inference(demodulation,[status(thm)],[c_81]) ).

tcf(c_480,negated_conjecture,
    iPr_def_17 != iPr_def_20,
    inference(demodulation,[status(thm)],[c_80,c_475,c_476,c_477,c_470,c_471,c_469,c_472,c_468,c_473,c_467,c_474]) ).

tcf(c_1079,plain,
    ( mem(iPr_def_14,ty_2Ebool_2Eitself(iPr_def_13))
    | ~ ne(iPr_def_13) ),
    inference(superposition,[status(thm)],[c_471,c_67]) ).

tcf(c_1104,plain,
    ( ne(iPr_def_13)
    | ~ ne(sK3)
    | ~ ne(sK2) ),
    inference(superposition,[status(thm)],[c_470,c_63]) ).

tcf(c_1105,plain,
    ne(iPr_def_13),
    inference(forward_subsumption_resolution,[status(thm)],[c_1104,c_479,c_478]) ).

tcf(c_1106,plain,
    mem(iPr_def_14,ty_2Ebool_2Eitself(iPr_def_13)),
    inference(backward_subsumption_resolution,[status(thm)],[c_1079,c_1105]) ).

tcf(c_1387,plain,
    ( mem(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),arr(ty_2Ebool_2Eitself(iPr_def_13),ty_2Ebinary__ieee_2Efloat(sK2,sK3)))
    | ~ ne(sK3)
    | ~ ne(sK2) ),
    inference(superposition,[status(thm)],[c_470,c_65]) ).

tcf(c_1391,plain,
    ( mem(iPr_def_12,arr(ty_2Ebool_2Eitself(iPr_def_13),ty_2Ebinary__ieee_2Efloat(sK2,sK3)))
    | ~ ne(sK3)
    | ~ ne(sK2) ),
    inference(light_normalisation,[status(thm)],[c_1387,c_469]) ).

tcf(c_1392,plain,
    mem(iPr_def_12,arr(ty_2Ebool_2Eitself(iPr_def_13),ty_2Ebinary__ieee_2Efloat(sK2,sK3))),
    inference(forward_subsumption_resolution,[status(thm)],[c_1391,c_479,c_478]) ).

tcf(c_1424,plain,
    ! [X0: $i] :
      ( mem(ap(iPr_def_12,X0),ty_2Ebinary__ieee_2Efloat(sK2,sK3))
      | ~ mem(X0,ty_2Ebool_2Eitself(iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_1392,c_52]) ).

tcf(c_1466,plain,
    ( mem(iPr_def_15,ty_2Ebinary__ieee_2Efloat(sK2,sK3))
    | ~ mem(iPr_def_14,ty_2Ebool_2Eitself(iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_472,c_1424]) ).

tcf(c_1470,plain,
    mem(iPr_def_15,ty_2Ebinary__ieee_2Efloat(sK2,sK3)),
    inference(forward_subsumption_resolution,[status(thm)],[c_1466,c_1106]) ).

tcf(c_1823,plain,
    ! [X0: $i] :
      ( ( ap(c_2Ebinary__ieee_2Efloat__to__real(X0,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(X0,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,sK3)))) = ap(c_2Ebinary__ieee_2Eulp(X0,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X0,sK3))) )
      | ~ ne(X0) ),
    inference(superposition,[status(thm)],[c_479,c_79]) ).

tcf(c_1872,plain,
    ( ( ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__negate(sK2,sK3),iPr_def_15)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),iPr_def_15)) )
    | ~ ne(sK3)
    | ~ ne(sK2) ),
    inference(superposition,[status(thm)],[c_1470,c_78]) ).

tcf(c_1878,plain,
    ( ( ap(c_2Erealax_2Ereal__neg,ap(iPr_def_10,iPr_def_15)) = iPr_def_17 )
    | ~ ne(sK3)
    | ~ ne(sK2) ),
    inference(light_normalisation,[status(thm)],[c_1872,c_467,c_468,c_473,c_474]) ).

tcf(c_1879,plain,
    ap(c_2Erealax_2Ereal__neg,ap(iPr_def_10,iPr_def_15)) = iPr_def_17,
    inference(forward_subsumption_resolution,[status(thm)],[c_1878,c_479,c_478]) ).

tcf(c_2017,plain,
    ap(c_2Ebinary__ieee_2Efloat__to__real(sK2,sK3),ap(c_2Ebinary__ieee_2Efloat__plus__min(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3)))) = ap(c_2Ebinary__ieee_2Eulp(sK2,sK3),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(sK2,sK3))),
    inference(superposition,[status(thm)],[c_478,c_1823]) ).

tcf(c_2019,plain,
    ap(iPr_def_10,iPr_def_15) = iPr_def_19,
    inference(light_normalisation,[status(thm)],[c_2017,c_467,c_469,c_470,c_471,c_472,c_475,c_476]) ).

tcf(c_2031,plain,
    ap(c_2Erealax_2Ereal__neg,iPr_def_19) = iPr_def_17,
    inference(demodulation,[status(thm)],[c_1879,c_2019]) ).

tcf(c_2033,plain,
    iPr_def_17 = iPr_def_20,
    inference(demodulation,[status(thm)],[c_477,c_2031]) ).

tcf(c_2034,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2033,c_480]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP018+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n019.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Wed Sep 23 17:43:49 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.40  Running first-order theorem proving
% 0.15/0.40  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
% 0.15/0.41  
% 0.15/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.41  
% 0.15/0.42  % Detected problem language: tptp
% 0.15/0.43  % Proving...
% 4.36/1.28  % SZS status Started for theBenchmark.p
% 4.36/1.28  % SZS status Theorem for theBenchmark.p
% 4.36/1.28  
% 4.36/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.36/1.28  
% 4.36/1.28  % ------  iProver source info
% 4.36/1.28  
% 4.36/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 4.36/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.36/1.28  % git: non_committed_changes: false
% 4.36/1.28  
% 4.36/1.28  % ------ Parsing...
% 4.36/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.36/1.28  
% 4.36/1.28  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 4.36/1.28  
% 4.36/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 4.36/1.28  
% 4.36/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.36/1.28  % ------ Proving...
% 4.36/1.28  % ------ Problem Properties 
% 4.36/1.28  
% 4.36/1.28  % 
% 4.36/1.28  % clauses                               45
% 4.36/1.28  % conjectures                           3
% 4.36/1.28  % EPR                                   10
% 4.36/1.28  % Horn                                  42
% 4.36/1.28  % unary                                 20
% 4.36/1.28  % binary                                6
% 4.36/1.28  % lits                                  102
% 4.36/1.28  % lits eq                               22
% 4.36/1.28  % fd_pure                               0
% 4.36/1.28  % fd_pseudo                             0
% 4.36/1.28  % fd_cond                               0
% 4.36/1.28  % fd_pseudo_cond                        5
% 4.36/1.28  % AC symbols                            0
% 4.36/1.28  
% 4.36/1.28  % ------ Schedule dynamic 5 is on 
% 4.36/1.28  
% 4.36/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.36/1.28  
% 4.36/1.28  
% 4.36/1.28  % ------ 
% 4.36/1.28  % Current options:
% 4.36/1.28  % ------ 
% 4.36/1.28  
% 4.36/1.28  
% 4.36/1.28  % 
% 4.36/1.28  
% 4.36/1.28  % ------ Proving...
% 4.36/1.28  % 
% 4.36/1.28  
% 4.36/1.28  % SZS status Theorem for theBenchmark.p
% 4.36/1.28  
% 4.36/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.36/1.29  
% 4.36/1.29  
%------------------------------------------------------------------------------