↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM453+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n017.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 02:24:30 PM UTC 2026

% Result   : Theorem 144.73s 33.64s
% Output   : CNFRefutation 144.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  104 (  41 unt;   3 def)
%            Number of atoms       :  287 (  81 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  184 (  82   ~;  79   |;  15   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   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    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   72 (   0 sgn  72   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    aInteger0(sz10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).

fof(f4,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => aInteger0(smndt0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X1)
        & aInteger0(X0) )
     => aInteger0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X1)
        & aInteger0(X0) )
     => aInteger0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( ( aInteger0(X2)
        & aInteger0(X1)
        & aInteger0(X0) )
     => sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X1)
        & aInteger0(X0) )
     => sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).

fof(f9,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ( X0 = sdtpldt0(sz00,X0)
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).

fof(f10,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ( sz00 = sdtpldt0(smndt0(X0),X0)
        & sdtpldt0(X0,smndt0(X0)) = sz00 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).

fof(f16,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
        & sdtasdt0(smndt0(sz10),X0) = smndt0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).

fof(f46,axiom,
    ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
    & xp != sz00
    & aInteger0(xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2171) ).

fof(f48,conjecture,
    ( sdtpldt0(sz10,smndt0(xp)) != sz10
    & sdtpldt0(sz10,xp) != sz10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f49,negated_conjecture,
    ~ ( sdtpldt0(sz10,smndt0(xp)) != sz10
      & sdtpldt0(sz10,xp) != sz10 ),
    inference(negated_conjecture,[status(cth)],[f48]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | aInteger0(smndt0(X0)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtpldt0(X0,X1)) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtpldt0(X0,X1)) ),
    inference(flattening,[],[f57]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtasdt0(X0,X1)) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtasdt0(X0,X1)) ),
    inference(flattening,[],[f59]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
    inference(flattening,[],[f61]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    inference(flattening,[],[f63]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ( X0 = sdtpldt0(sz00,X0)
        & sdtpldt0(X0,sz00) = X0 ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ( sz00 = sdtpldt0(smndt0(X0),X0)
        & sdtpldt0(X0,smndt0(X0)) = sz00 ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
        & sdtasdt0(smndt0(sz10),X0) = smndt0(X0) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f112,plain,
    ( sz10 = sdtpldt0(sz10,smndt0(xp))
    | sz10 = sdtpldt0(sz10,xp) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f169,plain,
    aInteger0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f170,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | aInteger0(smndt0(X0)) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtpldt0(X0,X1)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f173,plain,
    ! [X2,X0,X1] :
      ( ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f176,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sdtpldt0(X0,sz00) = X0 ),
    inference(cnf_transformation,[],[f65]) ).

fof(f178,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sz00 = sdtpldt0(X0,smndt0(X0)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f188,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f282,plain,
    sz00 != xp,
    inference(cnf_transformation,[],[f46]) ).

fof(f283,plain,
    aInteger0(xp),
    inference(cnf_transformation,[],[f46]) ).

fof(f286,plain,
    ( sz10 = sdtpldt0(sz10,smndt0(xp))
    | sz10 = sdtpldt0(sz10,xp) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_50,plain,
    aInteger0(sz10),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_51,plain,
    ! [X0: $i] :
      ( aInteger0(smndt0(X0))
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i] :
      ( aInteger0(sdtpldt0(X0,X1))
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( aInteger0(sdtasdt0(X0,X1))
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
      | ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_56,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(X0,sz00) = X0 )
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_58,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(X0,smndt0(X0)) = sz00 )
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_68,plain,
    ! [X0: $i] :
      ( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0) )
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_161,plain,
    aInteger0(xp),
    inference(cnf_transformation,[],[f283]) ).

tcf(c_162,plain,
    sz00 != xp,
    inference(cnf_transformation,[],[f282]) ).

tcf(c_166,negated_conjecture,
    ( ( sdtpldt0(sz10,xp) = sz10 )
    | ( sdtpldt0(sz10,smndt0(xp)) = sz10 ) ),
    inference(cnf_transformation,[],[f286]) ).

tcf(c_8458,definition,
    iPr_def_10 = smndt0(xp),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_8459,definition,
    iPr_def_11 = sdtpldt0(sz10,iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_8460,definition,
    iPr_def_12 = sdtpldt0(sz10,xp),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_8461,negated_conjecture,
    ( ( iPr_def_12 = sz10 )
    | ( iPr_def_11 = sz10 ) ),
    inference(demodulation,[status(thm)],[c_166,c_8460,c_8458,c_8459]) ).

tcf(c_10381,plain,
    ( aInteger0(iPr_def_10)
    | ~ aInteger0(xp) ),
    inference(superposition,[status(thm)],[c_8458,c_51]) ).

tcf(c_10382,plain,
    aInteger0(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_10381,c_161]) ).

tcf(c_10439,plain,
    ( aInteger0(iPr_def_11)
    | ~ aInteger0(iPr_def_10)
    | ~ aInteger0(sz10) ),
    inference(superposition,[status(thm)],[c_8459,c_52]) ).

tcf(c_10442,plain,
    aInteger0(iPr_def_11),
    inference(forward_subsumption_resolution,[status(thm)],[c_10439,c_10382,c_50]) ).

tcf(c_10979,plain,
    sdtasdt0(smndt0(sz10),iPr_def_11) = smndt0(iPr_def_11),
    inference(superposition,[status(thm)],[c_10442,c_68]) ).

tcf(c_11022,plain,
    ( aInteger0(smndt0(sz10))
    | ~ aInteger0(sz10) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_11292,plain,
    ( aInteger0(smndt0(iPr_def_11))
    | ~ aInteger0(iPr_def_11)
    | ~ aInteger0(smndt0(sz10)) ),
    inference(superposition,[status(thm)],[c_10979,c_53]) ).

tcf(c_11293,plain,
    ( aInteger0(smndt0(iPr_def_11))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11292,c_10442]) ).

tcf(c_340724,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtpldt0(sdtpldt0(sz10,X0),X1) = sdtpldt0(sz10,sdtpldt0(X0,X1)) )
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(superposition,[status(thm)],[c_50,c_54]) ).

tcf(c_340728,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtpldt0(sdtpldt0(xp,X0),X1) = sdtpldt0(xp,sdtpldt0(X0,X1)) )
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(superposition,[status(thm)],[c_161,c_54]) ).

tcf(c_340759,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
      | ~ aInteger0(X0) ),
    inference(superposition,[status(thm)],[c_50,c_55]) ).

tcf(c_340763,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
      | ~ aInteger0(X0) ),
    inference(superposition,[status(thm)],[c_161,c_55]) ).

tcf(c_340786,plain,
    sdtpldt0(sz10,sz00) = sz10,
    inference(superposition,[status(thm)],[c_50,c_56]) ).

tcf(c_340790,plain,
    sdtpldt0(xp,sz00) = xp,
    inference(superposition,[status(thm)],[c_161,c_56]) ).

tcf(c_340817,plain,
    ( aInteger0(iPr_def_10)
    | ~ aInteger0(xp) ),
    inference(superposition,[status(thm)],[c_8458,c_51]) ).

tcf(c_340818,plain,
    aInteger0(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_340817,c_161]) ).

tcf(c_340828,plain,
    sdtpldt0(xp,smndt0(xp)) = sz00,
    inference(superposition,[status(thm)],[c_161,c_58]) ).

tcf(c_340829,plain,
    sdtpldt0(xp,iPr_def_10) = sz00,
    inference(light_normalisation,[status(thm)],[c_340828,c_8458]) ).

tcf(c_340899,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(X0,iPr_def_10) = sdtpldt0(iPr_def_10,X0) )
      | ~ aInteger0(X0) ),
    inference(superposition,[status(thm)],[c_340818,c_55]) ).

tcf(c_340983,plain,
    ( aInteger0(iPr_def_11)
    | ~ aInteger0(iPr_def_10)
    | ~ aInteger0(sz10) ),
    inference(superposition,[status(thm)],[c_8459,c_52]) ).

tcf(c_340984,plain,
    aInteger0(iPr_def_11),
    inference(forward_subsumption_resolution,[status(thm)],[c_340983,c_340818,c_50]) ).

tcf(c_341094,plain,
    sdtpldt0(iPr_def_11,smndt0(iPr_def_11)) = sz00,
    inference(superposition,[status(thm)],[c_340984,c_58]) ).

tcf(c_341115,plain,
    ( aInteger0(iPr_def_12)
    | ~ aInteger0(xp)
    | ~ aInteger0(sz10) ),
    inference(superposition,[status(thm)],[c_8460,c_52]) ).

tcf(c_341116,plain,
    aInteger0(iPr_def_12),
    inference(forward_subsumption_resolution,[status(thm)],[c_341115,c_161,c_50]) ).

tcf(c_341148,plain,
    sdtasdt0(smndt0(sz10),iPr_def_11) = smndt0(iPr_def_11),
    inference(superposition,[status(thm)],[c_340984,c_68]) ).

tcf(c_344572,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(sdtpldt0(sz10,xp),X0) = sdtpldt0(sz10,sdtpldt0(xp,X0)) )
      | ~ aInteger0(X0) ),
    inference(superposition,[status(thm)],[c_161,c_340724]) ).

tcf(c_344583,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(sz10,sdtpldt0(xp,X0)) = sdtpldt0(iPr_def_12,X0) )
      | ~ aInteger0(X0) ),
    inference(light_normalisation,[status(thm)],[c_344572,c_8460]) ).

tcf(c_344947,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(sdtpldt0(xp,sz10),X0) = sdtpldt0(xp,sdtpldt0(sz10,X0)) )
      | ~ aInteger0(X0) ),
    inference(superposition,[status(thm)],[c_50,c_340728]) ).

tcf(c_345102,plain,
    sdtpldt0(sz10,iPr_def_10) = sdtpldt0(iPr_def_10,sz10),
    inference(superposition,[status(thm)],[c_340818,c_340759]) ).

tcf(c_345104,plain,
    sdtpldt0(iPr_def_10,sz10) = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_345102,c_8459]) ).

tcf(c_345300,plain,
    ( ( sz10 = iPr_def_11 )
    | ( sdtpldt0(iPr_def_10,iPr_def_12) = iPr_def_11 ) ),
    inference(superposition,[status(thm)],[c_8461,c_345104]) ).

tcf(c_345422,plain,
    sdtpldt0(xp,iPr_def_11) = sdtpldt0(iPr_def_11,xp),
    inference(superposition,[status(thm)],[c_340984,c_340763]) ).

tcf(c_347099,plain,
    sdtpldt0(iPr_def_10,iPr_def_12) = sdtpldt0(iPr_def_12,iPr_def_10),
    inference(superposition,[status(thm)],[c_341116,c_340899]) ).

tcf(c_348103,plain,
    ( aInteger0(smndt0(iPr_def_11))
    | ~ aInteger0(iPr_def_11)
    | ~ aInteger0(smndt0(sz10)) ),
    inference(superposition,[status(thm)],[c_341148,c_53]) ).

tcf(c_348106,plain,
    ( aInteger0(smndt0(iPr_def_11))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_348103,c_340984]) ).

tcf(c_348148,plain,
    aInteger0(smndt0(iPr_def_11)),
    inference(global_subsumption_just,[status(thm)],[c_348106,c_50,c_11022,c_11293]) ).

tcf(c_445213,plain,
    sdtpldt0(sz10,sdtpldt0(xp,iPr_def_10)) = sdtpldt0(iPr_def_12,iPr_def_10),
    inference(superposition,[status(thm)],[c_340818,c_344583]) ).

tcf(c_445254,plain,
    sdtpldt0(iPr_def_10,iPr_def_12) = sz10,
    inference(light_normalisation,[status(thm)],[c_445213,c_340786,c_340829,c_347099]) ).

tcf(c_445349,plain,
    sz10 = iPr_def_11,
    inference(demodulation,[status(thm)],[c_345300,c_445254]) ).

tcf(c_445355,plain,
    sdtpldt0(iPr_def_12,iPr_def_10) = sz10,
    inference(demodulation,[status(thm)],[c_347099,c_445254]) ).

tcf(c_445515,plain,
    sdtpldt0(iPr_def_11,xp) = iPr_def_12,
    inference(demodulation,[status(thm)],[c_8460,c_445349]) ).

tcf(c_445516,plain,
    sdtpldt0(iPr_def_11,iPr_def_10) = iPr_def_11,
    inference(demodulation,[status(thm)],[c_8459,c_445349]) ).

tcf(c_445536,plain,
    sdtpldt0(xp,iPr_def_11) = iPr_def_12,
    inference(demodulation,[status(thm)],[c_345422,c_445515]) ).

tcf(c_449449,plain,
    sdtpldt0(iPr_def_12,iPr_def_10) = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_445355,c_445349]) ).

tcf(c_453276,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(xp,sdtpldt0(iPr_def_11,X0)) = sdtpldt0(iPr_def_12,X0) )
      | ~ aInteger0(X0) ),
    inference(light_normalisation,[status(thm)],[c_344947,c_445349,c_445536]) ).

tcf(c_453291,plain,
    sdtpldt0(xp,sdtpldt0(iPr_def_11,iPr_def_10)) = sdtpldt0(iPr_def_12,iPr_def_10),
    inference(superposition,[status(thm)],[c_340818,c_453276]) ).

tcf(c_453295,plain,
    sdtpldt0(xp,sdtpldt0(iPr_def_11,smndt0(iPr_def_11))) = sdtpldt0(iPr_def_12,smndt0(iPr_def_11)),
    inference(superposition,[status(thm)],[c_348148,c_453276]) ).

tcf(c_453325,plain,
    iPr_def_11 = iPr_def_12,
    inference(light_normalisation,[status(thm)],[c_453291,c_445536,c_445516,c_449449]) ).

tcf(c_453328,plain,
    sdtpldt0(iPr_def_12,smndt0(iPr_def_11)) = xp,
    inference(light_normalisation,[status(thm)],[c_453295,c_340790,c_341094]) ).

tcf(c_456621,plain,
    sz00 = xp,
    inference(light_normalisation,[status(thm)],[c_453328,c_341094,c_453325]) ).

tcf(c_456622,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_456621,c_162]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM453+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38  % Computer : n017.cluster.edu
% 0.09/0.38  % Model    : x86_64 x86_64
% 0.09/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38  % Memory   : 8046.5625MB
% 0.09/0.38  % OS       : Linux 6.8.0-71-generic
% 0.09/0.38  % CPULimit : 300
% 0.09/0.38  % WCLimit  : 300
% 0.09/0.38  % DateTime : Thu Sep 24 03:58:30 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42  Running first-order theorem proving
% 0.09/0.42  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
% 0.09/0.43  
% 0.09/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43  
% 0.09/0.43  % Detected problem language: tptp
% 0.09/0.44  % Proving...
% 144.73/33.64  % SZS status Started for theBenchmark.p
% 144.73/33.64  % SZS status Theorem for theBenchmark.p
% 144.73/33.64  
% 144.73/33.64  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 144.73/33.64  
% 144.73/33.64  % ------  iProver source info
% 144.73/33.64  
% 144.73/33.64  % git: date: 2026-07-19 20:42:38 +0200
% 144.73/33.64  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 144.73/33.64  % git: non_committed_changes: false
% 144.73/33.64  
% 144.73/33.64  % ------ Parsing...
% 144.73/33.64  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 144.73/33.64  
% 144.73/33.64  % ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 144.73/33.64  
% 144.73/33.64  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 144.73/33.64  
% 144.73/33.64  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 144.73/33.64  % ------ Proving...
% 144.73/33.64  % ------ Problem Properties 
% 144.73/33.64  
% 144.73/33.64  % 
% 144.73/33.64  % clauses                               116
% 144.73/33.64  % conjectures                           1
% 144.73/33.64  % EPR                                   27
% 144.73/33.64  % Horn                                  77
% 144.73/33.64  % unary                                 13
% 144.73/33.64  % binary                                19
% 144.73/33.64  % lits                                  409
% 144.73/33.64  % lits eq                               61
% 144.73/33.64  % fd_pure                               0
% 144.73/33.64  % fd_pseudo                             0
% 144.73/33.64  % fd_cond                               18
% 144.73/33.64  % fd_pseudo_cond                        9
% 144.73/33.64  % AC symbols                            0
% 144.73/33.64  
% 144.73/33.64  % ------ Schedule dynamic 5 is on 
% 144.73/33.64  
% 144.73/33.64  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 144.73/33.64  
% 144.73/33.64  
% 144.73/33.64  % ------ 
% 144.73/33.64  % Current options:
% 144.73/33.64  % ------ 
% 144.73/33.64  
% 144.73/33.64  
% 144.73/33.64  % 
% 144.73/33.64  
% 144.73/33.64  % ------ Proving...
% 144.73/33.64  % Proof_search_loop: time out after: 9458 full_loop iterations
% 144.73/33.64  
% 144.73/33.64  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 144.73/33.64  
% 144.73/33.64  
% 144.73/33.64  % ------ 
% 144.73/33.64  % Current options:
% 144.73/33.64  % ------ 
% 144.73/33.64  
% 144.73/33.64  
% 144.73/33.64  % 
% 144.73/33.64  
% 144.73/33.64  % ------ Proving...
% 144.73/33.64  % Proof_search_loop: time out after: 11392 full_loop iterations
% 144.73/33.64  
% 144.73/33.64  % ------ Option_1: Negative Selections Time Limit: 35.
% 144.73/33.64  
% 144.73/33.64  
% 144.73/33.64  % ------ 
% 144.73/33.64  % Current options:
% 144.73/33.64  % ------ 
% 144.73/33.64  
% 144.73/33.64  
% 144.73/33.64  % 
% 144.73/33.64  
% 144.73/33.64  % ------ Proving...
% 144.73/33.64  % 
% 144.73/33.64  
% 144.73/33.64  % SZS status Theorem for theBenchmark.p
% 144.73/33.64  
% 144.73/33.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 144.73/33.64  
% 144.73/33.64  
%------------------------------------------------------------------------------