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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG083+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 : Mon Jun 24 14:03:59 EDT 2024

% Result   : Theorem 69.29s 10.27s
% Output   : CNFRefutation 69.29s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% 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(f5,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => aElement0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).

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

fof(f7,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).

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(f21,plain,
    ! [X0,X1] :
      ( aElement0(sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( aElement0(sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f21]) ).

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(f25,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f25]) ).

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(f43,plain,
    ! [X0,X1] :
      ( aElement0(sdtpldt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f22]) ).

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

fof(f45,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f26]) ).

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_52,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | aElement0(sdtpldt0(X0,X1)) ),
    inference(cnf_transformation,[],[f43]) ).

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

cnf(c_54,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    inference(cnf_transformation,[],[f45]) ).

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_241,plain,
    sdtasdt0(sz00,xx) = sP0_iProver_def,
    definition ).

cnf(c_242,plain,
    sdtasdt0(xx,sz00) = sP1_iProver_def,
    definition ).

cnf(c_243,negated_conjecture,
    ( sP0_iProver_def != sz00
    | sP1_iProver_def != sz00 ),
    inference(demodulation,[status(thm)],[c_69,c_242,c_241]) ).

cnf(c_1699,plain,
    ( ~ aElement0(X0)
    | sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) ),
    inference(superposition,[status(thm)],[c_49,c_60]) ).

cnf(c_2047,plain,
    sdtasdt0(sz00,xx) = sdtasdt0(xx,sz00),
    inference(superposition,[status(thm)],[c_68,c_1699]) ).

cnf(c_2050,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_2047,c_241,c_242]) ).

cnf(c_17731,plain,
    ( ~ aElement0(sz00)
    | ~ aElement0(xx)
    | aElement0(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_241,c_53]) ).

cnf(c_17732,plain,
    aElement0(sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_17731,c_68,c_49]) ).

cnf(c_17733,plain,
    sdtasdt0(xx,sz00) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_242,c_2050]) ).

cnf(c_17737,plain,
    sz00 != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_243,c_2050]) ).

cnf(c_17753,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(X0,xx) = sdtpldt0(xx,X0) ),
    inference(superposition,[status(thm)],[c_68,c_54]) ).

cnf(c_17759,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | sdtpldt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sz00,sdtpldt0(X0,X1)) ),
    inference(superposition,[status(thm)],[c_49,c_55]) ).

cnf(c_17761,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_17764,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | sdtpldt0(sdtpldt0(xx,X0),X1) = sdtpldt0(xx,sdtpldt0(X0,X1)) ),
    inference(superposition,[status(thm)],[c_68,c_55]) ).

cnf(c_17765,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | sdtpldt0(sdtpldt0(sP0_iProver_def,X0),X1) = sdtpldt0(sP0_iProver_def,sdtpldt0(X0,X1)) ),
    inference(superposition,[status(thm)],[c_17732,c_55]) ).

cnf(c_17772,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) ),
    inference(superposition,[status(thm)],[c_53,c_56]) ).

cnf(c_17774,plain,
    sdtpldt0(sz00,sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_17732,c_56]) ).

cnf(c_17781,plain,
    sdtpldt0(sz10,sz00) = sz10,
    inference(superposition,[status(thm)],[c_50,c_57]) ).

cnf(c_17797,plain,
    sdtpldt0(smndt0(xx),xx) = sz00,
    inference(superposition,[status(thm)],[c_68,c_58]) ).

cnf(c_17804,plain,
    sdtasdt0(sz10,sz00) = sz00,
    inference(superposition,[status(thm)],[c_49,c_62]) ).

cnf(c_17809,plain,
    sdtasdt0(sz10,xx) = xx,
    inference(superposition,[status(thm)],[c_68,c_62]) ).

cnf(c_17846,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_17864,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_17869,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_17971,plain,
    sdtpldt0(xx,sP0_iProver_def) = sdtpldt0(sP0_iProver_def,xx),
    inference(superposition,[status(thm)],[c_17732,c_17753]) ).

cnf(c_17991,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sdtpldt0(sz00,sP0_iProver_def),X0) = sdtpldt0(sz00,sdtpldt0(sP0_iProver_def,X0)) ),
    inference(superposition,[status(thm)],[c_17732,c_17759]) ).

cnf(c_17992,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sz00,sdtpldt0(sP0_iProver_def,X0)) = sdtpldt0(sP0_iProver_def,X0) ),
    inference(demodulation,[status(thm)],[c_17991,c_17774]) ).

cnf(c_18018,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | sdtpldt0(sdtpldt0(smndt0(xx),X0),X1) = sdtpldt0(smndt0(xx),sdtpldt0(X0,X1)) ),
    inference(superposition,[status(thm)],[c_68,c_17761]) ).

cnf(c_18054,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sdtpldt0(xx,sP0_iProver_def),X0) = sdtpldt0(xx,sdtpldt0(sP0_iProver_def,X0)) ),
    inference(superposition,[status(thm)],[c_17732,c_17764]) ).

cnf(c_18055,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sdtpldt0(sP0_iProver_def,xx),X0) = sdtpldt0(xx,sdtpldt0(sP0_iProver_def,X0)) ),
    inference(demodulation,[status(thm)],[c_18054,c_17971]) ).

cnf(c_18065,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sdtpldt0(sP0_iProver_def,xx),X0) = sdtpldt0(sP0_iProver_def,sdtpldt0(xx,X0)) ),
    inference(superposition,[status(thm)],[c_68,c_17765]) ).

cnf(c_18105,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sz00,sdtasdt0(sz00,X0)) = sdtasdt0(sz00,X0) ),
    inference(superposition,[status(thm)],[c_49,c_17772]) ).

cnf(c_18364,plain,
    ( ~ aElement0(X0)
    | sdtasdt0(sdtasdt0(xx,sz00),X0) = sdtasdt0(xx,sdtasdt0(sz00,X0)) ),
    inference(superposition,[status(thm)],[c_49,c_17846]) ).

cnf(c_18373,plain,
    ( ~ aElement0(X0)
    | sdtasdt0(xx,sdtasdt0(sz00,X0)) = sdtasdt0(sP0_iProver_def,X0) ),
    inference(demodulation,[status(thm)],[c_18364,c_17733]) ).

cnf(c_18432,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sdtasdt0(sz10,sz00),sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(sz10,X0),sz00) ),
    inference(superposition,[status(thm)],[c_50,c_17864]) ).

cnf(c_18436,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(xx,X0),sz00) ),
    inference(superposition,[status(thm)],[c_68,c_17864]) ).

cnf(c_18438,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sP0_iProver_def,sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(xx,X0),sz00) ),
    inference(demodulation,[status(thm)],[c_18436,c_17733]) ).

cnf(c_18439,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sz00,sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(sz10,X0),sz00) ),
    inference(demodulation,[status(thm)],[c_18432,c_17804]) ).

cnf(c_18494,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sdtasdt0(sz10,xx),sdtasdt0(X0,xx)) = sdtasdt0(sdtpldt0(sz10,X0),xx) ),
    inference(superposition,[status(thm)],[c_50,c_17869]) ).

cnf(c_18500,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(xx,sdtasdt0(X0,xx)) = sdtasdt0(sdtpldt0(sz10,X0),xx) ),
    inference(demodulation,[status(thm)],[c_18494,c_17809]) ).

cnf(c_18803,plain,
    sdtpldt0(sz00,sdtpldt0(sP0_iProver_def,sP0_iProver_def)) = sdtpldt0(sP0_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_17732,c_17992]) ).

cnf(c_19766,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sdtpldt0(smndt0(xx),xx),X0) = sdtpldt0(smndt0(xx),sdtpldt0(xx,X0)) ),
    inference(superposition,[status(thm)],[c_68,c_18018]) ).

cnf(c_19773,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(smndt0(xx),sdtpldt0(xx,X0)) = sdtpldt0(sz00,X0) ),
    inference(demodulation,[status(thm)],[c_19766,c_17797]) ).

cnf(c_21452,plain,
    sdtpldt0(sdtpldt0(sP0_iProver_def,xx),sP0_iProver_def) = sdtpldt0(xx,sdtpldt0(sP0_iProver_def,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_17732,c_18055]) ).

cnf(c_22438,plain,
    sdtpldt0(sdtpldt0(sP0_iProver_def,xx),sP0_iProver_def) = sdtpldt0(sP0_iProver_def,sdtpldt0(xx,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_17732,c_18065]) ).

cnf(c_22456,plain,
    sdtpldt0(sdtpldt0(sP0_iProver_def,xx),sP0_iProver_def) = sdtpldt0(sP0_iProver_def,sdtpldt0(sP0_iProver_def,xx)),
    inference(demodulation,[status(thm)],[c_22438,c_17971]) ).

cnf(c_22475,plain,
    sdtpldt0(xx,sdtpldt0(sP0_iProver_def,sP0_iProver_def)) = sdtpldt0(sP0_iProver_def,sdtpldt0(sP0_iProver_def,xx)),
    inference(superposition,[status(thm)],[c_22456,c_21452]) ).

cnf(c_24031,plain,
    sdtpldt0(sz00,sdtasdt0(sz00,sz00)) = sdtasdt0(sz00,sz00),
    inference(superposition,[status(thm)],[c_49,c_18105]) ).

cnf(c_36626,plain,
    sdtasdt0(xx,sdtasdt0(sz00,sz00)) = sdtasdt0(sP0_iProver_def,sz00),
    inference(superposition,[status(thm)],[c_49,c_18373]) ).

cnf(c_99376,plain,
    sdtpldt0(sP0_iProver_def,sdtasdt0(xx,sz00)) = sdtasdt0(sdtpldt0(xx,xx),sz00),
    inference(superposition,[status(thm)],[c_68,c_18438]) ).

cnf(c_99377,plain,
    sdtpldt0(sP0_iProver_def,sdtasdt0(sP0_iProver_def,sz00)) = sdtasdt0(sdtpldt0(xx,sP0_iProver_def),sz00),
    inference(superposition,[status(thm)],[c_17732,c_18438]) ).

cnf(c_99482,plain,
    sdtpldt0(sP0_iProver_def,sdtasdt0(sP0_iProver_def,sz00)) = sdtasdt0(sdtpldt0(sP0_iProver_def,xx),sz00),
    inference(demodulation,[status(thm)],[c_99377,c_17971]) ).

cnf(c_99483,plain,
    sdtasdt0(sdtpldt0(xx,xx),sz00) = sdtpldt0(sP0_iProver_def,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_99376,c_17733]) ).

cnf(c_99706,plain,
    ( ~ aElement0(sdtpldt0(xx,xx))
    | ~ aElement0(sz00)
    | aElement0(sdtpldt0(sP0_iProver_def,sP0_iProver_def)) ),
    inference(superposition,[status(thm)],[c_99483,c_53]) ).

cnf(c_99707,plain,
    ( ~ aElement0(sdtpldt0(xx,xx))
    | aElement0(sdtpldt0(sP0_iProver_def,sP0_iProver_def)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_99706,c_49]) ).

cnf(c_99710,plain,
    ( ~ aElement0(xx)
    | aElement0(sdtpldt0(sP0_iProver_def,sP0_iProver_def)) ),
    inference(superposition,[status(thm)],[c_52,c_99707]) ).

cnf(c_99711,plain,
    aElement0(sdtpldt0(sP0_iProver_def,sP0_iProver_def)),
    inference(forward_subsumption_resolution,[status(thm)],[c_99710,c_68]) ).

cnf(c_99786,plain,
    sdtpldt0(smndt0(xx),sdtpldt0(xx,sdtpldt0(sP0_iProver_def,sP0_iProver_def))) = sdtpldt0(sz00,sdtpldt0(sP0_iProver_def,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_99711,c_19773]) ).

cnf(c_100071,plain,
    sdtpldt0(smndt0(xx),sdtpldt0(sP0_iProver_def,sdtpldt0(sP0_iProver_def,xx))) = sdtpldt0(sP0_iProver_def,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_99786,c_18803,c_22475]) ).

cnf(c_118879,plain,
    sdtpldt0(sz00,sdtasdt0(sz00,sz00)) = sdtasdt0(sdtpldt0(sz10,sz00),sz00),
    inference(superposition,[status(thm)],[c_49,c_18439]) ).

cnf(c_119023,plain,
    sdtasdt0(sz00,sz00) = sz00,
    inference(demodulation,[status(thm)],[c_118879,c_17781,c_17804,c_24031]) ).

cnf(c_119227,plain,
    sdtasdt0(xx,sz00) = sdtasdt0(sP0_iProver_def,sz00),
    inference(superposition,[status(thm)],[c_119023,c_36626]) ).

cnf(c_119233,plain,
    sdtasdt0(sP0_iProver_def,sz00) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_119227,c_17733]) ).

cnf(c_126362,plain,
    sdtpldt0(xx,sdtasdt0(sz00,xx)) = sdtasdt0(sdtpldt0(sz10,sz00),xx),
    inference(superposition,[status(thm)],[c_49,c_18500]) ).

cnf(c_126516,plain,
    sdtpldt0(sP0_iProver_def,xx) = xx,
    inference(demodulation,[status(thm)],[c_126362,c_241,c_17781,c_17809,c_17971]) ).

cnf(c_126659,plain,
    sdtpldt0(smndt0(xx),xx) = sdtpldt0(sP0_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_126516,c_100071]) ).

cnf(c_126661,plain,
    sdtpldt0(sP0_iProver_def,sdtasdt0(sP0_iProver_def,sz00)) = sdtasdt0(xx,sz00),
    inference(superposition,[status(thm)],[c_126516,c_99482]) ).

cnf(c_126692,plain,
    sdtpldt0(sP0_iProver_def,sP0_iProver_def) = sz00,
    inference(demodulation,[status(thm)],[c_126659,c_17797]) ).

cnf(c_126696,plain,
    sdtpldt0(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_126661,c_17733,c_119233]) ).

cnf(c_126722,plain,
    sz00 = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_126692,c_126696]) ).

cnf(c_127256,plain,
    $false,
    inference(superposition,[status(thm)],[c_126722,c_17737]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG083+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Jun 18 14:53:09 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  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
% 69.29/10.27  % SZS status Started for theBenchmark.p
% 69.29/10.27  % SZS status Theorem for theBenchmark.p
% 69.29/10.27  
% 69.29/10.27  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 69.29/10.27  
% 69.29/10.27  ------  iProver source info
% 69.29/10.27  
% 69.29/10.27  git: date: 2024-06-12 09:56:46 +0000
% 69.29/10.27  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 69.29/10.27  git: non_committed_changes: false
% 69.29/10.27  
% 69.29/10.27  ------ Parsing...
% 69.29/10.27  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 69.29/10.27  
% 69.29/10.27  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 69.29/10.27  
% 69.29/10.27  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 69.29/10.27  
% 69.29/10.27  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 69.29/10.27  ------ Proving...
% 69.29/10.27  ------ Problem Properties 
% 69.29/10.27  
% 69.29/10.27  
% 69.29/10.27  clauses                                 23
% 69.29/10.27  conjectures                             1
% 69.29/10.27  EPR                                     4
% 69.29/10.27  Horn                                    23
% 69.29/10.27  unary                                   5
% 69.29/10.27  binary                                  10
% 69.29/10.27  lits                                    53
% 69.29/10.27  lits eq                                 18
% 69.29/10.27  fd_pure                                 0
% 69.29/10.27  fd_pseudo                               0
% 69.29/10.27  fd_cond                                 0
% 69.29/10.27  fd_pseudo_cond                          0
% 69.29/10.27  AC symbols                              0
% 69.29/10.27  
% 69.29/10.27  ------ Input Options Time Limit: Unbounded
% 69.29/10.27  
% 69.29/10.27  
% 69.29/10.27  ------ 
% 69.29/10.27  Current options:
% 69.29/10.27  ------ 
% 69.29/10.27  
% 69.29/10.27  
% 69.29/10.27  
% 69.29/10.27  
% 69.29/10.27  ------ Proving...
% 69.29/10.27  
% 69.29/10.27  
% 69.29/10.27  % SZS status Theorem for theBenchmark.p
% 69.29/10.27  
% 69.29/10.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 69.29/10.28  
% 69.29/10.28  
%------------------------------------------------------------------------------