%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : RNG048+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n009.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 : Tue May 5 05:05:07 PM UTC 2026
% Result : Theorem 2.03s 1.93s
% Output : CNFRefutation 2.03s
% 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(X1)
& aVector0(X2) )
=> ( 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(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
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(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X3,X4) )
=> 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)
=> ( sdtpldt0(X1,sz0z00) = X1
& sdtpldt0(sz0z00,X1) = X1
& sdtasdt0(X1,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X1) = sz0z00
& sdtpldt0(X1,smndt0(X1)) = sz0z00
& sdtpldt0(smndt0(X1),X1) = sz0z00
& smndt0(smndt0(X1)) = X1
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(mLEMonM,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(sz0z00,X3)
& sdtlseqdt0(X3,X4) )
=> sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(mLEASm,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(mMNeg,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
& sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
fof(mSqrt,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtasdt0(X1,X1) = sdtasdt0(X2,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).
fof(mMDNeg,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).
fof(c_0_14,plain,
! [X132,X133] :
( ~ aVector0(X132)
| ~ aVector0(X133)
| aDimensionOf0(X132) != aDimensionOf0(X133)
| aScalar0(sdtasasdt0(X132,X133)) ),
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,
! [X115,X116] :
( ~ aScalar0(X115)
| ~ aScalar0(X116)
| sdtlseqdt0(X115,X116)
| sdtlseqdt0(X116,X115) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])]) ).
cnf(c_0_17,plain,
( aScalar0(sdtasasdt0(X1,X2))
| ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_18,negated_conjecture,
! [X139] :
( aVector0(esk3_0)
& ( ~ aVector0(X139)
| ~ iLess0(aDimensionOf0(X139),aDimensionOf0(esk3_0))
| sdtlseqdt0(sz0z00,sdtasasdt0(X139,X139)) )
& ~ sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk3_0)) ),
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,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(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,
( aScalar0(sdtasasdt0(X1,X1))
| ~ aVector0(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,
! [X85] :
( ~ aScalar0(X85)
| aScalar0(smndt0(X85)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).
fof(c_0_24,plain,
! [X107,X108,X109,X110] :
( ~ aScalar0(X107)
| ~ aScalar0(X108)
| ~ aScalar0(X109)
| ~ aScalar0(X110)
| ~ sdtlseqdt0(X107,X108)
| ~ sdtlseqdt0(X109,X110)
| sdtlseqdt0(sdtpldt0(X107,X109),sdtpldt0(X108,X110)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])]) ).
cnf(c_0_25,plain,
( sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(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,
! [X101] :
( ~ aScalar0(X101)
| sdtlseqdt0(X101,X101) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])]) ).
cnf(c_0_29,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_30,plain,
! [X86] :
( ( sdtpldt0(X86,sz0z00) = X86
| ~ aScalar0(X86) )
& ( sdtpldt0(sz0z00,X86) = X86
| ~ aScalar0(X86) )
& ( sdtasdt0(X86,sz0z00) = sz0z00
| ~ aScalar0(X86) )
& ( sdtasdt0(sz0z00,X86) = sz0z00
| ~ aScalar0(X86) )
& ( sdtpldt0(X86,smndt0(X86)) = sz0z00
| ~ aScalar0(X86) )
& ( sdtpldt0(smndt0(X86),X86) = sz0z00
| ~ aScalar0(X86) )
& ( smndt0(smndt0(X86)) = X86
| ~ aScalar0(X86) )
& ( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X86) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])]) ).
cnf(c_0_31,plain,
( sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,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,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(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,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,negated_conjecture,
( sdtlseqdt0(sdtpldt0(X1,sdtasasdt0(esk3_0,esk3_0)),sdtpldt0(X2,sz0z00))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
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,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_40,plain,
! [X111,X112,X113,X114] :
( ~ aScalar0(X111)
| ~ aScalar0(X112)
| ~ aScalar0(X113)
| ~ aScalar0(X114)
| ~ sdtlseqdt0(X111,X112)
| ~ sdtlseqdt0(sz0z00,X113)
| ~ sdtlseqdt0(X113,X114)
| sdtlseqdt0(sdtasdt0(X111,X113),sdtasdt0(X112,X114)) ),
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(sdtasdt0(X1,X3),sdtasdt0(X2,X4))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X3,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,
( sdtlseqdt0(sdtasdt0(X1,smndt0(sdtasasdt0(esk3_0,esk3_0))),sdtasdt0(X2,X3))
| ~ sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
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,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
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,
! [X102,X103] :
( ~ aScalar0(X102)
| ~ aScalar0(X103)
| ~ sdtlseqdt0(X102,X103)
| ~ sdtlseqdt0(X103,X102)
| X102 = X103 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])]) ).
cnf(c_0_49,negated_conjecture,
( sdtlseqdt0(sdtasdt0(X1,smndt0(sdtasasdt0(esk3_0,esk3_0))),sdtasdt0(X2,smndt0(sdtasasdt0(esk3_0,esk3_0))))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
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,
( sdtlseqdt0(sdtasdt0(X1,sz0z00),sdtasdt0(X2,X3))
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
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,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_53,plain,
! [X83,X84] :
( ~ aScalar0(X83)
| ~ aScalar0(X84)
| aScalar0(sdtasdt0(X83,X84)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).
cnf(c_0_54,plain,
( X1 = X2
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
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,
( sdtlseqdt0(sdtasdt0(X1,sz0z00),sdtasdt0(X2,smndt0(sdtasasdt0(esk3_0,esk3_0))))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
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(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_60,plain,
! [X97,X98] :
( ( sdtasdt0(X97,smndt0(X98)) = smndt0(sdtasdt0(X97,X98))
| ~ aScalar0(X97)
| ~ aScalar0(X98) )
& ( sdtasdt0(smndt0(X97),X98) = smndt0(sdtasdt0(X97,X98))
| ~ aScalar0(X97)
| ~ aScalar0(X98) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])]) ).
cnf(c_0_61,negated_conjecture,
( sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sz0z00
| ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))))
| ~ aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0)))) ),
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(sdtasdt0(X1,smndt0(sdtasasdt0(esk3_0,esk3_0))))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_34]) ).
cnf(c_0_64,plain,
( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sz0z00
| ~ aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0)))) ),
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,
! [X120,X121] :
( ~ aScalar0(X120)
| ~ aScalar0(X121)
| ~ sdtlseqdt0(sz0z00,X120)
| ~ sdtlseqdt0(sz0z00,X121)
| sdtasdt0(X120,X120) != sdtasdt0(X121,X121)
| X120 = X121 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])]) ).
fof(c_0_68,plain,
! [X99,X100] :
( ~ aScalar0(X99)
| ~ aScalar0(X100)
| sdtasdt0(smndt0(X99),smndt0(X100)) = sdtasdt0(X99,X100) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMDNeg])]) ).
cnf(c_0_69,negated_conjecture,
( aScalar0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk3_0)))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_26]) ).
cnf(c_0_70,negated_conjecture,
( smndt0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk3_0))) = sdtasdt0(X1,smndt0(sdtasasdt0(esk3_0,esk3_0)))
| ~ aScalar0(X1) ),
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,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_73,plain,
( X1 = X2
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtasdt0(X1,X1) != sdtasdt0(X2,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,
( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_76,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(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,
( sdtlseqdt0(sdtpldt0(X1,sz0z00),sdtpldt0(X2,smndt0(sdtasasdt0(esk3_0,esk3_0))))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
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,
( sz0z00 = X1
| sdtasdt0(X1,X1) != sz0z00
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(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,
( sdtasdt0(smndt0(X1),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sdtasdt0(X1,sdtasasdt0(esk3_0,esk3_0))
| ~ aScalar0(X1) ),
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,
( sdtlseqdt0(sdtpldt0(X1,sdtasasdt0(esk3_0,esk3_0)),sdtpldt0(X2,sdtasasdt0(esk3_0,esk3_0)))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
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,
( smndt0(sdtasasdt0(esk3_0,esk3_0)) = sz0z00
| sdtasdt0(smndt0(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_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,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_89,negated_conjecture,
( sdtlseqdt0(sz0z00,sdtpldt0(sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),smndt0(sdtasasdt0(esk3_0,esk3_0))),sdtasasdt0(esk3_0,esk3_0)))
| ~ aScalar0(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_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90]),c_0_90]),c_0_91]),c_0_92]),c_0_90]),c_0_90]),c_0_91]),c_0_20])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG048+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n009.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 01:47:56 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 2.03/1.93 % Version : CSE_E---1.7
% 2.03/1.93 % Problem : theBenchmark.p
% 2.03/1.93 % SZS status Theorem for theBenchmark.p
% 2.03/1.93 % SZS output start CNFRefutation
% See solution above
% 2.03/1.94 % Total time : 1.371s
%------------------------------------------------------------------------------