%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : RNG048+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 : Thu Sep 24 02:05:38 PM UTC 2026
% Result : Theorem 1.49s 0.62s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 94 ( 31 unt; 0 def)
% Number of atoms : 288 ( 64 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 325 ( 131 ~; 132 |; 37 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 109 ( 1 sgn 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mScPr,axiom,
! [X1,X2] :
( ( aVector0(X2)
& aVector0(X1) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> aScalar0(sdtasasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).
fof(m__,conjecture,
! [X1] :
( aVector0(X1)
=> ( ! [X2] :
( aVector0(X2)
=> ( iLess0(aDimensionOf0(X2),aDimensionOf0(X1))
=> sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2)) ) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mLETot,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> ( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(mLEMon,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X4)
& aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X3,X4)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(mLERef,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(mScZero,axiom,
! [X1] :
( aScalar0(X1)
=> ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X1)) = X1
& sdtpldt0(smndt0(X1),X1) = sz0z00
& sdtpldt0(X1,smndt0(X1)) = sz0z00
& sdtasdt0(sz0z00,X1) = sz0z00
& sdtasdt0(X1,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X1) = X1
& sdtpldt0(X1,sz0z00) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(mLEMonM,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X4)
& aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X3,X4)
& sdtlseqdt0(sz0z00,X3)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(mLEASm,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X2,X1)
& sdtlseqdt0(X1,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(mMNeg,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> ( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
& sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
fof(mSqrt,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtasdt0(X1,X1) = sdtasdt0(X2,X2)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(sz0z00,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).
fof(mMDNeg,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).
fof(c_0_14,plain,
! [X69,X70] :
( aScalar0(sdtasasdt0(X69,X70))
| aDimensionOf0(X69) != aDimensionOf0(X70)
| ~ aVector0(X70)
| ~ aVector0(X69) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScPr])])]) ).
fof(c_0_15,negated_conjecture,
~ ! [X1] :
( aVector0(X1)
=> ( ! [X2] :
( aVector0(X2)
=> ( iLess0(aDimensionOf0(X2),aDimensionOf0(X1))
=> sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2)) ) )
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_16,plain,
! [X51,X52] :
( sdtlseqdt0(X52,X51)
| sdtlseqdt0(X51,X52)
| ~ aScalar0(X52)
| ~ aScalar0(X51) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])])]) ).
cnf(c_0_17,plain,
( aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1)
| aScalar0(sdtasasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_18,negated_conjecture,
! [X76] :
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk3_0))
& ( sdtlseqdt0(sz0z00,sdtasasdt0(X76,X76))
| ~ iLess0(aDimensionOf0(X76),aDimensionOf0(esk3_0))
| ~ aVector0(X76) )
& aVector0(esk3_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])]) ).
cnf(c_0_19,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
cnf(c_0_21,plain,
( ~ aVector0(X1)
| aScalar0(sdtasasdt0(X1,X1)) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
aVector0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X19] :
( aScalar0(smndt0(X19))
| ~ aScalar0(X19) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])])]) ).
fof(c_0_24,plain,
! [X43,X44,X45,X46] :
( sdtlseqdt0(sdtpldt0(X43,X45),sdtpldt0(X44,X46))
| ~ sdtlseqdt0(X45,X46)
| ~ sdtlseqdt0(X43,X44)
| ~ aScalar0(X46)
| ~ aScalar0(X45)
| ~ aScalar0(X44)
| ~ aScalar0(X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])])]) ).
cnf(c_0_25,plain,
( ~ aScalar0(X1)
| sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(sz0z00,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
aScalar0(sdtasasdt0(esk3_0,esk3_0)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_28,plain,
! [X37] :
( sdtlseqdt0(X37,X37)
| ~ aScalar0(X37) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])])]) ).
cnf(c_0_29,plain,
( ~ aScalar0(X1)
| aScalar0(smndt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_30,plain,
! [X20] :
( ( ~ aScalar0(X20)
| smndt0(sz0z00) = sz0z00 )
& ( ~ aScalar0(X20)
| smndt0(smndt0(X20)) = X20 )
& ( ~ aScalar0(X20)
| sdtpldt0(smndt0(X20),X20) = sz0z00 )
& ( ~ aScalar0(X20)
| sdtpldt0(X20,smndt0(X20)) = sz0z00 )
& ( ~ aScalar0(X20)
| sdtasdt0(sz0z00,X20) = sz0z00 )
& ( ~ aScalar0(X20)
| sdtasdt0(X20,sz0z00) = sz0z00 )
& ( ~ aScalar0(X20)
| sdtpldt0(sz0z00,X20) = X20 )
& ( ~ aScalar0(X20)
| sdtpldt0(X20,sz0z00) = X20 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])])]) ).
cnf(c_0_31,plain,
( ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
sdtlseqdt0(sdtasasdt0(esk3_0,esk3_0),sz0z00),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_33,plain,
( ~ aScalar0(X1)
| sdtlseqdt0(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
aScalar0(smndt0(sdtasasdt0(esk3_0,esk3_0))),
inference(spm,[status(thm)],[c_0_29,c_0_26]) ).
cnf(c_0_35,plain,
( ~ aScalar0(X1)
| sdtpldt0(smndt0(X1),X1) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,negated_conjecture,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(sdtpldt0(X1,sdtasasdt0(esk3_0,esk3_0)),sdtpldt0(X2,sz0z00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_20]),c_0_26])]) ).
cnf(c_0_37,negated_conjecture,
sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),smndt0(sdtasasdt0(esk3_0,esk3_0))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sdtasasdt0(esk3_0,esk3_0)) = sz0z00,
inference(spm,[status(thm)],[c_0_35,c_0_26]) ).
cnf(c_0_39,plain,
( ~ aScalar0(X1)
| sdtpldt0(X1,sz0z00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_40,plain,
! [X47,X48,X49,X50] :
( sdtlseqdt0(sdtasdt0(X47,X49),sdtasdt0(X48,X50))
| ~ sdtlseqdt0(X49,X50)
| ~ sdtlseqdt0(sz0z00,X49)
| ~ sdtlseqdt0(X47,X48)
| ~ aScalar0(X50)
| ~ aScalar0(X49)
| ~ aScalar0(X48)
| ~ aScalar0(X47) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])])]) ).
cnf(c_0_41,negated_conjecture,
sdtlseqdt0(sz0z00,sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sz0z00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_34])]) ).
cnf(c_0_42,negated_conjecture,
sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sz0z00) = smndt0(sdtasasdt0(esk3_0,esk3_0)),
inference(spm,[status(thm)],[c_0_39,c_0_34]) ).
cnf(c_0_43,plain,
( ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_44,negated_conjecture,
sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(esk3_0,esk3_0))),
inference(rw,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),X3)
| sdtlseqdt0(sdtasdt0(X1,smndt0(sdtasasdt0(esk3_0,esk3_0))),sdtasdt0(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_34])]) ).
cnf(c_0_46,plain,
( ~ aScalar0(X1)
| sdtasdt0(sz0z00,X1) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_47,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(spm,[status(thm)],[c_0_33,c_0_20]) ).
fof(c_0_48,plain,
! [X38,X39] :
( X38 = X39
| ~ sdtlseqdt0(X39,X38)
| ~ sdtlseqdt0(X38,X39)
| ~ aScalar0(X39)
| ~ aScalar0(X38) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])])]) ).
cnf(c_0_49,negated_conjecture,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(sdtasdt0(X1,smndt0(sdtasasdt0(esk3_0,esk3_0))),sdtasdt0(X2,smndt0(sdtasasdt0(esk3_0,esk3_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_37]),c_0_34])]) ).
cnf(c_0_50,negated_conjecture,
sdtasdt0(sz0z00,smndt0(sdtasasdt0(esk3_0,esk3_0))) = sz0z00,
inference(spm,[status(thm)],[c_0_46,c_0_34]) ).
cnf(c_0_51,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(sz0z00,X3)
| sdtlseqdt0(sdtasdt0(X1,sz0z00),sdtasdt0(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_47]),c_0_20])]) ).
cnf(c_0_52,plain,
( ~ aScalar0(X1)
| sdtasdt0(X1,sz0z00) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_53,plain,
! [X17,X18] :
( aScalar0(sdtasdt0(X17,X18))
| ~ aScalar0(X18)
| ~ aScalar0(X17) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])])]) ).
cnf(c_0_54,plain,
( ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,negated_conjecture,
sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_32]),c_0_50]),c_0_20]),c_0_26])]) ).
cnf(c_0_56,negated_conjecture,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(sdtasdt0(X1,sz0z00),sdtasdt0(X2,smndt0(sdtasasdt0(esk3_0,esk3_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_44]),c_0_34])]) ).
cnf(c_0_57,negated_conjecture,
sdtlseqdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0)),
inference(spm,[status(thm)],[c_0_33,c_0_26]) ).
cnf(c_0_58,negated_conjecture,
sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_52,c_0_26]) ).
cnf(c_0_59,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_60,plain,
! [X31,X32] :
( ( ~ aScalar0(X32)
| ~ aScalar0(X31)
| sdtasdt0(smndt0(X31),X32) = smndt0(sdtasdt0(X31,X32)) )
& ( ~ aScalar0(X32)
| ~ aScalar0(X31)
| sdtasdt0(X31,smndt0(X32)) = smndt0(sdtasdt0(X31,X32)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])])]) ).
cnf(c_0_61,negated_conjecture,
( ~ aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))))
| sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_20])]) ).
cnf(c_0_62,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_26])]) ).
cnf(c_0_63,negated_conjecture,
( ~ aScalar0(X1)
| aScalar0(sdtasdt0(X1,smndt0(sdtasasdt0(esk3_0,esk3_0)))) ),
inference(spm,[status(thm)],[c_0_59,c_0_34]) ).
cnf(c_0_64,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( ~ aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))))
| sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]) ).
cnf(c_0_66,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0)))),
inference(spm,[status(thm)],[c_0_63,c_0_26]) ).
fof(c_0_67,plain,
! [X56,X57] :
( X56 = X57
| sdtasdt0(X56,X56) != sdtasdt0(X57,X57)
| ~ sdtlseqdt0(sz0z00,X57)
| ~ sdtlseqdt0(sz0z00,X56)
| ~ aScalar0(X57)
| ~ aScalar0(X56) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])])]) ).
fof(c_0_68,plain,
! [X33,X34] :
( sdtasdt0(smndt0(X33),smndt0(X34)) = sdtasdt0(X33,X34)
| ~ aScalar0(X34)
| ~ aScalar0(X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMDNeg])])]) ).
cnf(c_0_69,negated_conjecture,
( ~ aScalar0(X1)
| aScalar0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_59,c_0_26]) ).
cnf(c_0_70,negated_conjecture,
( ~ aScalar0(X1)
| smndt0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk3_0))) = sdtasdt0(X1,smndt0(sdtasasdt0(esk3_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_64,c_0_26]) ).
cnf(c_0_71,negated_conjecture,
sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66])]) ).
cnf(c_0_72,plain,
( ~ aScalar0(X1)
| smndt0(sz0z00) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_73,plain,
( sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_52,c_0_20]) ).
cnf(c_0_75,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_76,plain,
( ~ aScalar0(X1)
| smndt0(smndt0(X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_77,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0))),
inference(spm,[status(thm)],[c_0_69,c_0_26]) ).
cnf(c_0_78,negated_conjecture,
smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0))) = sz0z00,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_26]),c_0_71]) ).
cnf(c_0_79,plain,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_72,c_0_20]) ).
cnf(c_0_80,negated_conjecture,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(sdtpldt0(X1,sz0z00),sdtpldt0(X2,smndt0(sdtasasdt0(esk3_0,esk3_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_44]),c_0_34]),c_0_20])]) ).
cnf(c_0_81,plain,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtasdt0(X1,X1) != sz0z00
| sz0z00 = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_47]),c_0_20])]) ).
cnf(c_0_82,negated_conjecture,
( ~ aScalar0(X1)
| sdtasdt0(smndt0(X1),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sdtasdt0(X1,sdtasasdt0(esk3_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_75,c_0_26]) ).
cnf(c_0_83,negated_conjecture,
sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0)) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_79]) ).
cnf(c_0_84,negated_conjecture,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(sdtpldt0(X1,sdtasasdt0(esk3_0,esk3_0)),sdtpldt0(X2,sdtasasdt0(esk3_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_57]),c_0_26])]) ).
cnf(c_0_85,negated_conjecture,
sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),smndt0(sdtasasdt0(esk3_0,esk3_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_37]),c_0_42]),c_0_34])]) ).
cnf(c_0_86,negated_conjecture,
( sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),smndt0(sdtasasdt0(esk3_0,esk3_0))) != sz0z00
| smndt0(sdtasasdt0(esk3_0,esk3_0)) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_44]),c_0_34])]) ).
cnf(c_0_87,negated_conjecture,
sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sz0z00,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_26]),c_0_83]) ).
cnf(c_0_88,plain,
( ~ aScalar0(X1)
| sdtpldt0(sz0z00,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_89,negated_conjecture,
( ~ aScalar0(sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),smndt0(sdtasasdt0(esk3_0,esk3_0))))
| sdtlseqdt0(sz0z00,sdtpldt0(sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),smndt0(sdtasasdt0(esk3_0,esk3_0))),sdtasasdt0(esk3_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_38]),c_0_34])]) ).
cnf(c_0_90,negated_conjecture,
smndt0(sdtasasdt0(esk3_0,esk3_0)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]) ).
cnf(c_0_91,plain,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_39,c_0_20]) ).
cnf(c_0_92,negated_conjecture,
sdtpldt0(sz0z00,sdtasasdt0(esk3_0,esk3_0)) = sdtasasdt0(esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_88,c_0_26]) ).
cnf(c_0_93,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92]),c_0_91]),c_0_20])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG048+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 04:18:07 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.49/0.62 % Version: 3.5.1
% 1.49/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.49/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.49/0.62 % Starting new_bool_3 with 300s (1) cores
% 1.49/0.62 % Starting new_bool_1 with 300s (1) cores
% 1.49/0.62 % Starting sh5l with 300s (1) cores
% 1.49/0.62 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1345124 completed with status 0
% 1.49/0.62 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.49/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.49/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.49/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.49/0.62 % No SInE strategy applied
% 1.49/0.62 % Search class: FGHSF-FFMS21-MFFFFFNN
% 1.49/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.49/0.62 % Starting SubtermCWHack with 136s (1) cores
% 1.49/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.49/0.62 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0e with 136s (1) cores
% 1.49/0.62 % Starting new_bool_3 with 136s (1) cores
% 1.49/0.62 % Starting new_bool_1 with 136s (1) cores
% 1.49/0.62 % G-E--_207_C18_F1_AE_CS_SP_PI_S0e with pid 1345132 completed with status 0
% 1.49/0.62 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_S0e
% 1.49/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.49/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.49/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.49/0.62 % No SInE strategy applied
% 1.49/0.62 % Search class: FGHSF-FFMS21-MFFFFFNN
% 1.49/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.49/0.62 % Starting SubtermCWHack with 136s (1) cores
% 1.49/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.49/0.62 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0e with 136s (1) cores
% 1.49/0.62 % Preprocessing time : 0.002 s
% 1.49/0.62
% 1.49/0.62 % Proof found!
% 1.49/0.62 % SZS status Theorem
% 1.49/0.62 % SZS output start CNFRefutation
% See solution above
% 1.49/0.62 % Parsed axioms : 37
% 1.49/0.62 % Removed by relevancy pruning/SinE : 0
% 1.49/0.62 % Initial clauses : 58
% 1.49/0.62 % Removed in clause preprocessing : 5
% 1.49/0.62 % Initial clauses in saturation : 53
% 1.49/0.62 % Processed clauses : 817
% 1.49/0.62 % ...of these trivial : 72
% 1.49/0.62 % ...subsumed : 94
% 1.49/0.62 % ...remaining for further processing : 651
% 1.49/0.62 % Other redundant clauses eliminated : 0
% 1.49/0.62 % Clauses deleted for lack of memory : 0
% 1.49/0.62 % Backward-subsumed : 3
% 1.49/0.62 % Backward-rewritten : 169
% 1.49/0.62 % Generated clauses : 7761
% 1.49/0.62 % ...of the previous two non-redundant : 7471
% 1.49/0.62 % ...aggressively subsumed : 0
% 1.49/0.62 % Contextual simplify-reflections : 6
% 1.49/0.62 % Paramodulations : 7748
% 1.49/0.62 % Factorizations : 0
% 1.49/0.62 % NegExts : 0
% 1.49/0.62 % Equation resolutions : 13
% 1.49/0.62 % Disequality decompositions : 0
% 1.49/0.62 % Total rewrite steps : 5734
% 1.49/0.62 % ...of those cached : 5587
% 1.49/0.62 % Propositional unsat checks : 0
% 1.49/0.62 % Propositional check models : 0
% 1.49/0.62 % Propositional check unsatisfiable : 0
% 1.49/0.62 % Propositional clauses : 0
% 1.49/0.62 % Propositional clauses after purity: 0
% 1.49/0.62 % Propositional unsat core size : 0
% 1.49/0.62 % Propositional preprocessing time : 0.000
% 1.49/0.62 % Propositional encoding time : 0.000
% 1.49/0.62 % Propositional solver time : 0.000
% 1.49/0.62 % Success case prop preproc time : 0.000
% 1.49/0.62 % Success case prop encoding time : 0.000
% 1.49/0.62 % Success case prop solver time : 0.000
% 1.49/0.62 % Current number of processed clauses : 479
% 1.49/0.62 % Positive orientable unit clauses : 189
% 1.49/0.62 % Positive unorientable unit clauses: 0
% 1.49/0.62 % Negative unit clauses : 1
% 1.49/0.62 % Non-unit-clauses : 289
% 1.49/0.62 % Current number of unprocessed clauses: 6615
% 1.49/0.62 % ...number of literals in the above : 12734
% 1.49/0.62 % Current number of archived formulas : 0
% 1.49/0.62 % Current number of archived clauses : 172
% 1.49/0.62 % Clause-clause subsumption calls (NU) : 12858
% 1.49/0.62 % Rec. Clause-clause subsumption calls : 8108
% 1.49/0.62 % Non-unit clause-clause subsumptions : 98
% 1.49/0.62 % Unit Clause-clause subsumption calls : 2200
% 1.49/0.62 % Rewrite failures with RHS unbound : 0
% 1.49/0.62 % BW rewrite match attempts : 130
% 1.49/0.62 % BW rewrite match successes : 31
% 1.49/0.62 % Condensation attempts : 0
% 1.49/0.62 % Condensation successes : 0
% 1.49/0.62 % Termbank termtop insertions : 224342
% 1.49/0.62 % Search garbage collected termcells : 905
% 1.49/0.62
% 1.49/0.62 % -------------------------------------------------
% 1.49/0.62 % User time : 0.159 s
% 1.49/0.62 % System time : 0.011 s
% 1.49/0.62 % Total time : 0.171 s
% 1.49/0.62 % Maximum resident set size: 3680 pages
% 1.49/0.62
% 1.49/0.62 % -------------------------------------------------
% 1.49/0.62 % User time : 0.797 s
% 1.49/0.62 % System time : 0.042 s
% 1.49/0.62 % Total time : 0.839 s
% 1.49/0.62 % Maximum resident set size: 4608 pages
% 1.49/0.62 % E exiting
%------------------------------------------------------------------------------