TSTP Solution File: RNG083+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG083+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:57:34 EDT 2024

% Result   : Theorem 20.55s 3.69s
% Output   : CNFRefutation 20.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  107 (  34 unt;   0 def)
%            Number of atoms       :  239 (  96 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  241 ( 109   ~; 104   |;  19   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  112 (   0 sgn  65   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    aElement0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).

fof(f3,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

fof(f4,axiom,
    ! [X0] :
      ( aElement0(X0)
     => aElement0(smndt0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => aElement0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X2)
        & aElement0(X1)
        & aElement0(X0) )
     => sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).

fof(f9,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).

fof(f10,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( sz00 = sdtpldt0(smndt0(X0),X0)
        & sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X2)
        & aElement0(X1)
        & aElement0(X0) )
     => sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).

fof(f13,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X2)
        & aElement0(X1)
        & aElement0(X0) )
     => ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).

fof(f16,axiom,
    aElement0(xx),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__468) ).

fof(f17,conjecture,
    ( sz00 = sdtasdt0(sz00,xx)
    & sz00 = sdtasdt0(xx,sz00) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f18,negated_conjecture,
    ~ ( sz00 = sdtasdt0(sz00,xx)
      & sz00 = sdtasdt0(xx,sz00) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f20,plain,
    ! [X0] :
      ( aElement0(smndt0(X0))
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f23]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ! [X0] :
      ( ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f30,plain,
    ! [X0] :
      ( ( sz00 = sdtpldt0(smndt0(X0),X0)
        & sz00 = sdtpldt0(X0,smndt0(X0)) )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f31]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f33]) ).

fof(f35,plain,
    ! [X0] :
      ( ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f36]) ).

fof(f39,plain,
    ( sz00 != sdtasdt0(sz00,xx)
    | sz00 != sdtasdt0(xx,sz00) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f40,plain,
    aElement0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f41,plain,
    aElement0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f42,plain,
    ! [X0] :
      ( aElement0(smndt0(X0))
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f47,plain,
    ! [X0] :
      ( sdtpldt0(X0,sz00) = X0
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f48,plain,
    ! [X0] :
      ( sdtpldt0(sz00,X0) = X0
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f50,plain,
    ! [X0] :
      ( sz00 = sdtpldt0(smndt0(X0),X0)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f54,plain,
    ! [X0] :
      ( sdtasdt0(sz10,X0) = X0
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f59,plain,
    aElement0(xx),
    inference(cnf_transformation,[],[f16]) ).

fof(f60,plain,
    ( sz00 != sdtasdt0(sz00,xx)
    | sz00 != sdtasdt0(xx,sz00) ),
    inference(cnf_transformation,[],[f39]) ).

cnf(c_49,plain,
    aElement0(sz00),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_50,plain,
    aElement0(sz10),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_51,plain,
    ( ~ aElement0(X0)
    | aElement0(smndt0(X0)) ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_53,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | aElement0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_55,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_56,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sz00,X0) = X0 ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_57,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(X0,sz00) = X0 ),
    inference(cnf_transformation,[],[f47]) ).

cnf(c_58,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(smndt0(X0),X0) = sz00 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_60,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(cnf_transformation,[],[f51]) ).

cnf(c_61,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_62,plain,
    ( ~ aElement0(X0)
    | sdtasdt0(sz10,X0) = X0 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_64,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) = sdtasdt0(sdtpldt0(X1,X2),X0) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_68,plain,
    aElement0(xx),
    inference(cnf_transformation,[],[f59]) ).

cnf(c_69,negated_conjecture,
    ( sdtasdt0(sz00,xx) != sz00
    | sdtasdt0(xx,sz00) != sz00 ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_19356,plain,
    sdtpldt0(sz00,sz10) = sz10,
    inference(superposition,[status(thm)],[c_50,c_56]) ).

cnf(c_19358,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) ),
    inference(superposition,[status(thm)],[c_53,c_56]) ).

cnf(c_19382,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | ~ aElement0(X2)
    | sdtpldt0(sdtpldt0(smndt0(X0),X1),X2) = sdtpldt0(smndt0(X0),sdtpldt0(X1,X2)) ),
    inference(superposition,[status(thm)],[c_51,c_55]) ).

cnf(c_19389,plain,
    sdtpldt0(sz10,sz00) = sz10,
    inference(superposition,[status(thm)],[c_50,c_57]) ).

cnf(c_19392,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) ),
    inference(superposition,[status(thm)],[c_53,c_57]) ).

cnf(c_19403,plain,
    sdtpldt0(smndt0(xx),xx) = sz00,
    inference(superposition,[status(thm)],[c_68,c_58]) ).

cnf(c_19419,plain,
    ( ~ aElement0(X0)
    | sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) ),
    inference(superposition,[status(thm)],[c_49,c_60]) ).

cnf(c_19429,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | sdtasdt0(sdtasdt0(sz00,X0),X1) = sdtasdt0(sz00,sdtasdt0(X0,X1)) ),
    inference(superposition,[status(thm)],[c_49,c_61]) ).

cnf(c_19434,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | sdtasdt0(sdtasdt0(xx,X0),X1) = sdtasdt0(xx,sdtasdt0(X0,X1)) ),
    inference(superposition,[status(thm)],[c_68,c_61]) ).

cnf(c_19437,plain,
    sdtasdt0(sz10,sz00) = sz00,
    inference(superposition,[status(thm)],[c_49,c_62]) ).

cnf(c_19442,plain,
    sdtasdt0(sz10,xx) = xx,
    inference(superposition,[status(thm)],[c_68,c_62]) ).

cnf(c_19460,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00)) = sdtasdt0(sdtpldt0(X0,X1),sz00) ),
    inference(superposition,[status(thm)],[c_49,c_64]) ).

cnf(c_19465,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X1,xx)) = sdtasdt0(sdtpldt0(X0,X1),xx) ),
    inference(superposition,[status(thm)],[c_68,c_64]) ).

cnf(c_19515,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sz00,sdtasdt0(sz00,X0)) = sdtasdt0(sz00,X0) ),
    inference(superposition,[status(thm)],[c_49,c_19358]) ).

cnf(c_19627,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | sdtpldt0(sdtpldt0(smndt0(xx),X0),X1) = sdtpldt0(smndt0(xx),sdtpldt0(X0,X1)) ),
    inference(superposition,[status(thm)],[c_68,c_19382]) ).

cnf(c_19673,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sdtasdt0(sz00,X0),sz00) = sdtasdt0(sz00,X0) ),
    inference(superposition,[status(thm)],[c_49,c_19392]) ).

cnf(c_19724,plain,
    sdtasdt0(sz00,xx) = sdtasdt0(xx,sz00),
    inference(superposition,[status(thm)],[c_68,c_19419]) ).

cnf(c_19726,plain,
    sdtasdt0(xx,sz00) != sz00,
    inference(superposition,[status(thm)],[c_19724,c_69]) ).

cnf(c_19794,plain,
    ( ~ aElement0(X0)
    | sdtasdt0(sdtasdt0(sz00,sz00),X0) = sdtasdt0(sz00,sdtasdt0(sz00,X0)) ),
    inference(superposition,[status(thm)],[c_49,c_19429]) ).

cnf(c_19799,plain,
    ( ~ aElement0(X0)
    | sdtasdt0(sdtasdt0(sz00,xx),X0) = sdtasdt0(sz00,sdtasdt0(xx,X0)) ),
    inference(superposition,[status(thm)],[c_68,c_19429]) ).

cnf(c_19800,plain,
    ( ~ aElement0(X0)
    | sdtasdt0(sdtasdt0(xx,sz00),X0) = sdtasdt0(sz00,sdtasdt0(xx,X0)) ),
    inference(demodulation,[status(thm)],[c_19799,c_19724]) ).

cnf(c_19850,plain,
    ( ~ aElement0(X0)
    | sdtasdt0(sdtasdt0(xx,sz00),X0) = sdtasdt0(xx,sdtasdt0(sz00,X0)) ),
    inference(superposition,[status(thm)],[c_49,c_19434]) ).

cnf(c_19933,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(sz00,X0),sz00) ),
    inference(superposition,[status(thm)],[c_49,c_19460]) ).

cnf(c_19989,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sdtasdt0(sz10,xx),sdtasdt0(X0,xx)) = sdtasdt0(sdtpldt0(sz10,X0),xx) ),
    inference(superposition,[status(thm)],[c_50,c_19465]) ).

cnf(c_19994,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(xx,sdtasdt0(X0,xx)) = sdtasdt0(sdtpldt0(sz10,X0),xx) ),
    inference(demodulation,[status(thm)],[c_19989,c_19442]) ).

cnf(c_20106,plain,
    sdtpldt0(sz00,sdtasdt0(sz00,xx)) = sdtasdt0(sz00,xx),
    inference(superposition,[status(thm)],[c_68,c_19515]) ).

cnf(c_20107,plain,
    sdtpldt0(sz00,sdtasdt0(xx,sz00)) = sdtasdt0(xx,sz00),
    inference(demodulation,[status(thm)],[c_20106,c_19724]) ).

cnf(c_20747,plain,
    sdtpldt0(sdtasdt0(sz00,sz00),sz00) = sdtasdt0(sz00,sz00),
    inference(superposition,[status(thm)],[c_49,c_19673]) ).

cnf(c_20860,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sdtpldt0(smndt0(xx),xx),X0) = sdtpldt0(smndt0(xx),sdtpldt0(xx,X0)) ),
    inference(superposition,[status(thm)],[c_68,c_19627]) ).

cnf(c_20862,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(smndt0(xx),sdtpldt0(xx,X0)) = sdtpldt0(sz00,X0) ),
    inference(demodulation,[status(thm)],[c_20860,c_19403]) ).

cnf(c_23217,plain,
    sdtasdt0(sdtasdt0(sz00,sz00),xx) = sdtasdt0(sz00,sdtasdt0(sz00,xx)),
    inference(superposition,[status(thm)],[c_68,c_19794]) ).

cnf(c_23224,plain,
    sdtasdt0(sdtasdt0(sz00,sz00),xx) = sdtasdt0(sz00,sdtasdt0(xx,sz00)),
    inference(demodulation,[status(thm)],[c_23217,c_19724]) ).

cnf(c_23229,plain,
    ( ~ aElement0(sdtasdt0(sz00,sz00))
    | ~ aElement0(xx)
    | aElement0(sdtasdt0(sz00,sdtasdt0(xx,sz00))) ),
    inference(superposition,[status(thm)],[c_23224,c_53]) ).

cnf(c_23230,plain,
    ( ~ aElement0(sdtasdt0(sz00,sz00))
    | aElement0(sdtasdt0(sz00,sdtasdt0(xx,sz00))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_23229,c_68]) ).

cnf(c_23525,plain,
    sdtasdt0(sdtasdt0(xx,sz00),sz00) = sdtasdt0(sz00,sdtasdt0(xx,sz00)),
    inference(superposition,[status(thm)],[c_49,c_19800]) ).

cnf(c_24311,plain,
    sdtasdt0(sdtasdt0(xx,sz00),sz00) = sdtasdt0(xx,sdtasdt0(sz00,sz00)),
    inference(superposition,[status(thm)],[c_49,c_19850]) ).

cnf(c_24330,plain,
    sdtasdt0(sz00,sdtasdt0(xx,sz00)) = sdtasdt0(xx,sdtasdt0(sz00,sz00)),
    inference(superposition,[status(thm)],[c_24311,c_23525]) ).

cnf(c_24336,plain,
    ( ~ aElement0(sdtasdt0(sz00,sz00))
    | aElement0(sdtasdt0(xx,sdtasdt0(sz00,sz00))) ),
    inference(superposition,[status(thm)],[c_24330,c_23230]) ).

cnf(c_26175,plain,
    sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(sz10,sz00)) = sdtasdt0(sdtpldt0(sz00,sz10),sz00),
    inference(superposition,[status(thm)],[c_50,c_19933]) ).

cnf(c_26193,plain,
    sdtasdt0(sz00,sz00) = sz00,
    inference(demodulation,[status(thm)],[c_26175,c_19356,c_19437,c_20747]) ).

cnf(c_26200,plain,
    ( ~ aElement0(sdtasdt0(sz00,sz00))
    | aElement0(sdtasdt0(xx,sz00)) ),
    inference(superposition,[status(thm)],[c_26193,c_24336]) ).

cnf(c_26209,plain,
    ( ~ aElement0(sz00)
    | aElement0(sdtasdt0(xx,sz00)) ),
    inference(demodulation,[status(thm)],[c_26200,c_26193]) ).

cnf(c_26210,plain,
    aElement0(sdtasdt0(xx,sz00)),
    inference(forward_subsumption_resolution,[status(thm)],[c_26209,c_49]) ).

cnf(c_26626,plain,
    sdtpldt0(smndt0(xx),sdtpldt0(xx,sdtasdt0(xx,sz00))) = sdtpldt0(sz00,sdtasdt0(xx,sz00)),
    inference(superposition,[status(thm)],[c_26210,c_20862]) ).

cnf(c_26896,plain,
    sdtpldt0(smndt0(xx),sdtpldt0(xx,sdtasdt0(xx,sz00))) = sdtasdt0(xx,sz00),
    inference(demodulation,[status(thm)],[c_26626,c_20107]) ).

cnf(c_33165,plain,
    sdtpldt0(xx,sdtasdt0(sz00,xx)) = sdtasdt0(sdtpldt0(sz10,sz00),xx),
    inference(superposition,[status(thm)],[c_49,c_19994]) ).

cnf(c_33195,plain,
    sdtpldt0(xx,sdtasdt0(xx,sz00)) = xx,
    inference(demodulation,[status(thm)],[c_33165,c_19389,c_19442,c_19724]) ).

cnf(c_33215,plain,
    sdtpldt0(smndt0(xx),xx) = sdtasdt0(xx,sz00),
    inference(superposition,[status(thm)],[c_33195,c_26896]) ).

cnf(c_33223,plain,
    sdtasdt0(xx,sz00) = sz00,
    inference(demodulation,[status(thm)],[c_33215,c_19403]) ).

cnf(c_33224,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_33223,c_19726]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : RNG083+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 21:58:45 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 20.55/3.69  % SZS status Started for theBenchmark.p
% 20.55/3.69  % SZS status Theorem for theBenchmark.p
% 20.55/3.69  
% 20.55/3.69  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.55/3.69  
% 20.55/3.69  ------  iProver source info
% 20.55/3.69  
% 20.55/3.69  git: date: 2024-05-02 19:28:25 +0000
% 20.55/3.69  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 20.55/3.69  git: non_committed_changes: false
% 20.55/3.69  
% 20.55/3.69  ------ Parsing...
% 20.55/3.69  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 20.55/3.69  
% 20.55/3.69  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 20.55/3.69  
% 20.55/3.69  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 20.55/3.69  
% 20.55/3.69  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 20.55/3.69  ------ Proving...
% 20.55/3.69  ------ Problem Properties 
% 20.55/3.69  
% 20.55/3.69  
% 20.55/3.69  clauses                                 21
% 20.55/3.69  conjectures                             1
% 20.55/3.69  EPR                                     3
% 20.55/3.69  Horn                                    21
% 20.55/3.69  unary                                   3
% 20.55/3.69  binary                                  10
% 20.55/3.69  lits                                    51
% 20.55/3.69  lits eq                                 16
% 20.55/3.69  fd_pure                                 0
% 20.55/3.69  fd_pseudo                               0
% 20.55/3.69  fd_cond                                 0
% 20.55/3.69  fd_pseudo_cond                          0
% 20.55/3.69  AC symbols                              0
% 20.55/3.69  
% 20.55/3.69  ------ Input Options Time Limit: Unbounded
% 20.55/3.69  
% 20.55/3.69  
% 20.55/3.69  ------ 
% 20.55/3.69  Current options:
% 20.55/3.69  ------ 
% 20.55/3.69  
% 20.55/3.69  
% 20.55/3.69  
% 20.55/3.69  
% 20.55/3.69  ------ Proving...
% 20.55/3.69  
% 20.55/3.69  
% 20.55/3.69  % SZS status Theorem for theBenchmark.p
% 20.55/3.69  
% 20.55/3.69  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.55/3.69  
% 20.55/3.70  
%------------------------------------------------------------------------------