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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM422+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 : n008.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 02:24:12 PM UTC 2026

% Result   : Theorem 206.48s 49.07s
% Output   : CNFRefutation 206.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   96 (  36 unt;   3 def)
%            Number of atoms       :  248 (  85 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  195 (  86   ~;  81   |;  18   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 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  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   94 (   0 sgn  94   !;   0   ?;  29   :)

% 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(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(f12,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X1)
        & aInteger0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

fof(f13,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ( X0 = sdtasdt0(sz10,X0)
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aInteger0(X2)
        & aInteger0(X1)
        & aInteger0(X0) )
     => ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).

fof(f15,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => ( sz00 = sdtasdt0(sz00,X0)
        & sdtasdt0(X0,sz00) = sz00 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).

fof(f16,axiom,
    aInteger0(xa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__446) ).

fof(f17,conjecture,
    sdtasdt0(smndt0(sz10),xa) = smndt0(xa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f18,negated_conjecture,
    sdtasdt0(smndt0(sz10),xa) != smndt0(xa),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f20,plain,
    sdtasdt0(smndt0(sz10),xa) != smndt0(xa),
    inference(flattening,[],[f18]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | aInteger0(smndt0(X0)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtasdt0(X0,X1)) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtasdt0(X0,X1)) ),
    inference(flattening,[],[f24]) ).

fof(f26,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(f27,plain,
    ! [X0,X1,X2] :
      ( ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
    inference(flattening,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    inference(flattening,[],[f28]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ( X0 = sdtpldt0(sz00,X0)
        & sdtpldt0(X0,sz00) = X0 ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ( sz00 = sdtpldt0(smndt0(X0),X0)
        & sdtpldt0(X0,smndt0(X0)) = sz00 ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(flattening,[],[f34]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ( X0 = sdtasdt0(sz10,X0)
        & sdtasdt0(X0,sz10) = X0 ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
    inference(flattening,[],[f37]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | ( sz00 = sdtasdt0(sz00,X0)
        & sdtasdt0(X0,sz00) = sz00 ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f41,plain,
    aInteger0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | aInteger0(smndt0(X0)) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | aInteger0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sdtpldt0(sz00,X0) = X0 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sdtpldt0(X0,sz00) = X0 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sz00 = sdtpldt0(smndt0(X0),X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sz00 = sdtpldt0(X0,smndt0(X0)) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sdtasdt0(X0,sz10) = X0 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ aInteger0(X0)
      | sz00 = sdtasdt0(X0,sz00) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f59,plain,
    aInteger0(xa),
    inference(cnf_transformation,[],[f16]) ).

fof(f60,plain,
    sdtasdt0(smndt0(sz10),xa) != smndt0(xa),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_50,plain,
    aInteger0(sz10),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_51,plain,
    ! [X0: $i] :
      ( aInteger0(smndt0(X0))
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( aInteger0(sdtasdt0(X0,X1))
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f44]) ).

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,[],[f45]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_56,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(X0,sz00) = X0 )
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_57,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(sz00,X0) = X0 )
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_58,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(X0,smndt0(X0)) = sz00 )
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_59,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(smndt0(X0),X0) = sz00 )
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_62,plain,
    ! [X0: $i] :
      ( ( sdtasdt0(X0,sz10) = X0 )
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) = sdtasdt0(X0,sdtpldt0(X1,X2)) )
      | ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_66,plain,
    ! [X0: $i] :
      ( ( sdtasdt0(X0,sz00) = sz00 )
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_68,plain,
    aInteger0(xa),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_69,negated_conjecture,
    sdtasdt0(smndt0(sz10),xa) != smndt0(xa),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_282,definition,
    iPr_def_10 = smndt0(sz10),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_283,definition,
    iPr_def_11 = sdtasdt0(iPr_def_10,xa),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_284,definition,
    iPr_def_12 = smndt0(xa),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_285,negated_conjecture,
    iPr_def_11 != iPr_def_12,
    inference(demodulation,[status(thm)],[c_69,c_284,c_282,c_283]) ).

tcf(c_402420,plain,
    ( aInteger0(iPr_def_10)
    | ~ aInteger0(sz10) ),
    inference(superposition,[status(thm)],[c_282,c_51]) ).

tcf(c_402421,plain,
    aInteger0(iPr_def_10),
    inference(forward_subsumption_resolution,[status(thm)],[c_402420,c_50]) ).

tcf(c_402475,plain,
    ( aInteger0(iPr_def_12)
    | ~ aInteger0(xa) ),
    inference(superposition,[status(thm)],[c_284,c_51]) ).

tcf(c_402476,plain,
    aInteger0(iPr_def_12),
    inference(forward_subsumption_resolution,[status(thm)],[c_402475,c_68]) ).

tcf(c_402488,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(X0,xa) = sdtpldt0(xa,X0) )
      | ~ aInteger0(X0) ),
    inference(superposition,[status(thm)],[c_68,c_55]) ).

tcf(c_402548,plain,
    sdtpldt0(iPr_def_12,sz00) = iPr_def_12,
    inference(superposition,[status(thm)],[c_402476,c_56]) ).

tcf(c_402550,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtpldt0(sdtpldt0(iPr_def_12,X0),X1) = sdtpldt0(iPr_def_12,sdtpldt0(X0,X1)) )
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(superposition,[status(thm)],[c_402476,c_54]) ).

tcf(c_402561,plain,
    sdtpldt0(sz10,smndt0(sz10)) = sz00,
    inference(superposition,[status(thm)],[c_50,c_58]) ).

tcf(c_402569,plain,
    sdtpldt0(sz10,iPr_def_10) = sz00,
    inference(light_normalisation,[status(thm)],[c_402561,c_282]) ).

tcf(c_402599,plain,
    sdtpldt0(smndt0(xa),xa) = sz00,
    inference(superposition,[status(thm)],[c_68,c_59]) ).

tcf(c_402602,plain,
    sdtpldt0(iPr_def_12,xa) = sz00,
    inference(light_normalisation,[status(thm)],[c_402599,c_284]) ).

tcf(c_402719,plain,
    ( aInteger0(iPr_def_11)
    | ~ aInteger0(iPr_def_10)
    | ~ aInteger0(xa) ),
    inference(superposition,[status(thm)],[c_283,c_53]) ).

tcf(c_402720,plain,
    aInteger0(iPr_def_11),
    inference(forward_subsumption_resolution,[status(thm)],[c_402719,c_402421,c_68]) ).

tcf(c_402732,plain,
    ! [X0: $i] :
      ( ( sdtasdt0(X0,xa) = sdtasdt0(xa,X0) )
      | ~ aInteger0(X0) ),
    inference(superposition,[status(thm)],[c_68,c_61]) ).

tcf(c_402765,plain,
    sdtasdt0(xa,sz10) = xa,
    inference(superposition,[status(thm)],[c_68,c_62]) ).

tcf(c_402829,plain,
    sdtpldt0(sz00,iPr_def_11) = iPr_def_11,
    inference(superposition,[status(thm)],[c_402720,c_57]) ).

tcf(c_402868,plain,
    ! [X0: $i,X1: $i] :
      ( ( sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xa,X1)) = sdtasdt0(xa,sdtpldt0(X0,X1)) )
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(superposition,[status(thm)],[c_68,c_64]) ).

tcf(c_403061,plain,
    sdtasdt0(xa,sz00) = sz00,
    inference(superposition,[status(thm)],[c_68,c_66]) ).

tcf(c_403975,plain,
    sdtpldt0(xa,iPr_def_11) = sdtpldt0(iPr_def_11,xa),
    inference(superposition,[status(thm)],[c_402720,c_402488]) ).

tcf(c_404439,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(sdtpldt0(iPr_def_12,xa),X0) = sdtpldt0(iPr_def_12,sdtpldt0(xa,X0)) )
      | ~ aInteger0(X0) ),
    inference(superposition,[status(thm)],[c_68,c_402550]) ).

tcf(c_404451,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(iPr_def_12,sdtpldt0(xa,X0)) = sdtpldt0(sz00,X0) )
      | ~ aInteger0(X0) ),
    inference(light_normalisation,[status(thm)],[c_404439,c_402602]) ).

tcf(c_405899,plain,
    sdtasdt0(xa,iPr_def_10) = sdtasdt0(iPr_def_10,xa),
    inference(superposition,[status(thm)],[c_402421,c_402732]) ).

tcf(c_405902,plain,
    sdtasdt0(xa,iPr_def_10) = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_405899,c_283]) ).

tcf(c_408620,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(sdtasdt0(xa,sz10),sdtasdt0(xa,X0)) = sdtasdt0(xa,sdtpldt0(sz10,X0)) )
      | ~ aInteger0(X0) ),
    inference(superposition,[status(thm)],[c_50,c_402868]) ).

tcf(c_408642,plain,
    ! [X0: $i] :
      ( ( sdtpldt0(xa,sdtasdt0(xa,X0)) = sdtasdt0(xa,sdtpldt0(sz10,X0)) )
      | ~ aInteger0(X0) ),
    inference(light_normalisation,[status(thm)],[c_408620,c_402765]) ).

tcf(c_433203,plain,
    sdtpldt0(iPr_def_12,sdtpldt0(xa,iPr_def_11)) = sdtpldt0(sz00,iPr_def_11),
    inference(superposition,[status(thm)],[c_402720,c_404451]) ).

tcf(c_433217,plain,
    sdtpldt0(iPr_def_12,sdtpldt0(iPr_def_11,xa)) = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_433203,c_402829,c_403975]) ).

tcf(c_492856,plain,
    sdtpldt0(xa,sdtasdt0(xa,iPr_def_10)) = sdtasdt0(xa,sdtpldt0(sz10,iPr_def_10)),
    inference(superposition,[status(thm)],[c_402421,c_408642]) ).

tcf(c_492884,plain,
    sdtpldt0(iPr_def_11,xa) = sz00,
    inference(light_normalisation,[status(thm)],[c_492856,c_403061,c_402569,c_403975,c_405902]) ).

tcf(c_492905,plain,
    sdtpldt0(iPr_def_12,sz00) = iPr_def_11,
    inference(demodulation,[status(thm)],[c_433217,c_492884]) ).

tcf(c_492910,plain,
    iPr_def_11 = iPr_def_12,
    inference(demodulation,[status(thm)],[c_402548,c_492905]) ).

tcf(c_492911,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_492910,c_285]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM422+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/15.40  % Computer : n008.cluster.edu
% 0.12/15.40  % Model    : x86_64 x86_64
% 0.12/15.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.40  % Memory   : 8046.5625MB
% 0.12/15.40  % OS       : Linux 6.8.0-71-generic
% 0.12/15.40  % CPULimit : 300
% 0.12/15.40  % WCLimit  : 300
% 0.12/15.40  % DateTime : Thu Sep 24 03:54:40 UTC 2026
% 0.12/15.40  % CPUTime  : 
% 0.12/15.40  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/15.44  Running first-order theorem proving
% 0.12/15.44  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
% 0.12/15.46  
% 0.12/15.46  % ======== iProver multi-core TPTP/SMT =========
% 0.12/15.46  
% 0.12/15.46  % Detected problem language: tptp
% 0.12/15.47  % Proving...
% 206.48/49.07  % SZS status Started for theBenchmark.p
% 206.48/49.07  % SZS status Theorem for theBenchmark.p
% 206.48/49.07  
% 206.48/49.07  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 206.48/49.07  
% 206.48/49.07  % ------  iProver source info
% 206.48/49.07  
% 206.48/49.07  % git: date: 2026-07-19 20:42:38 +0200
% 206.48/49.07  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 206.48/49.07  % git: non_committed_changes: false
% 206.48/49.07  
% 206.48/49.07  % ------ Parsing...
% 206.48/49.07  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 206.48/49.07  
% 206.48/49.07  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 206.48/49.07  
% 206.48/49.07  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 206.48/49.07  
% 206.48/49.07  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 206.48/49.07  % ------ Proving...
% 206.48/49.07  % ------ Problem Properties 
% 206.48/49.07  
% 206.48/49.07  % 
% 206.48/49.07  % clauses                               24
% 206.48/49.07  % conjectures                           1
% 206.48/49.07  % EPR                                   4
% 206.48/49.07  % Horn                                  24
% 206.48/49.07  % unary                                 7
% 206.48/49.07  % binary                                9
% 206.48/49.07  % lits                                  53
% 206.48/49.07  % lits eq                               18
% 206.48/49.07  % fd_pure                               0
% 206.48/49.07  % fd_pseudo                             0
% 206.48/49.07  % fd_cond                               0
% 206.48/49.07  % fd_pseudo_cond                        0
% 206.48/49.07  % AC symbols                            0
% 206.48/49.07  
% 206.48/49.07  % ------ Schedule dynamic 5 is on 
% 206.48/49.07  
% 206.48/49.07  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 206.48/49.07  
% 206.48/49.07  
% 206.48/49.07  % ------ 
% 206.48/49.07  % Current options:
% 206.48/49.07  % ------ 
% 206.48/49.07  
% 206.48/49.07  
% 206.48/49.07  % 
% 206.48/49.07  
% 206.48/49.07  % ------ Proving...
% 206.48/49.07  % Proof_search_loop: time out after: 10589 full_loop iterations
% 206.48/49.07  
% 206.48/49.07  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 206.48/49.07  
% 206.48/49.07  
% 206.48/49.07  % ------ 
% 206.48/49.07  % Current options:
% 206.48/49.07  % ------ 
% 206.48/49.07  
% 206.48/49.07  
% 206.48/49.07  % 
% 206.48/49.07  
% 206.48/49.07  % ------ Proving...
% 206.48/49.07  % Proof_search_loop: time out after: 18461 full_loop iterations
% 206.48/49.07  
% 206.48/49.07  % ------ Option_1: Negative Selections Time Limit: 35.
% 206.48/49.07  
% 206.48/49.07  
% 206.48/49.07  % ------ 
% 206.48/49.07  % Current options:
% 206.48/49.07  % ------ 
% 206.48/49.07  
% 206.48/49.07  
% 206.48/49.07  % 
% 206.48/49.07  
% 206.48/49.07  % ------ Proving...
% 206.48/49.07  % 
% 206.48/49.07  
% 206.48/49.07  % SZS status Theorem for theBenchmark.p
% 206.48/49.07  
% 206.48/49.07  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 206.48/49.07  
% 206.48/49.07  
%------------------------------------------------------------------------------