TSTP Solution File: RNG048+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG048+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n012.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 : Thu Aug 31 13:48:43 EDT 2023
% Result : Theorem 0.17s 0.83s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 32
% Syntax : Number of formulae : 104 ( 31 unt; 18 typ; 0 def)
% Number of atoms : 260 ( 61 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 285 ( 111 ~; 112 |; 37 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 15 >; 7 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 98 ( 1 sgn; 55 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aNaturalNumber0: $i > $o ).
tff(decl_23,type,
sz00: $i ).
tff(decl_24,type,
szszuzczcdt0: $i > $i ).
tff(decl_25,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_26,type,
aScalar0: $i > $o ).
tff(decl_27,type,
sz0z00: $i ).
tff(decl_28,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_29,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(decl_30,type,
smndt0: $i > $i ).
tff(decl_31,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(decl_32,type,
aVector0: $i > $o ).
tff(decl_33,type,
aDimensionOf0: $i > $i ).
tff(decl_34,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(decl_35,type,
sziznziztdt0: $i > $i ).
tff(decl_36,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff(decl_37,type,
esk1_1: $i > $i ).
tff(decl_38,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk3_0: $i ).
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(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(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(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(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(c_0_14,plain,
! [X62,X63] :
( ~ aVector0(X62)
| ~ aVector0(X63)
| aDimensionOf0(X62) != aDimensionOf0(X63)
| aScalar0(sdtasasdt0(X62,X63)) ),
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,
! [X45,X46] :
( ~ aScalar0(X45)
| ~ aScalar0(X46)
| sdtlseqdt0(X45,X46)
| sdtlseqdt0(X46,X45) ),
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,
! [X69] :
( aVector0(esk3_0)
& ( ~ aVector0(X69)
| ~ iLess0(aDimensionOf0(X69),aDimensionOf0(esk3_0))
| sdtlseqdt0(sz0z00,sdtasasdt0(X69,X69)) )
& ~ 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,
! [X15] :
( ~ aScalar0(X15)
| aScalar0(smndt0(X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).
fof(c_0_24,plain,
! [X37,X38,X39,X40] :
( ~ aScalar0(X37)
| ~ aScalar0(X38)
| ~ aScalar0(X39)
| ~ aScalar0(X40)
| ~ sdtlseqdt0(X37,X38)
| ~ sdtlseqdt0(X39,X40)
| sdtlseqdt0(sdtpldt0(X37,X39),sdtpldt0(X38,X40)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])]) ).
cnf(c_0_25,plain,
( sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(sz0z00,X1)
| ~ 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,
! [X31] :
( ~ aScalar0(X31)
| sdtlseqdt0(X31,X31) ),
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,
! [X16] :
( ( sdtpldt0(X16,sz0z00) = X16
| ~ aScalar0(X16) )
& ( sdtpldt0(sz0z00,X16) = X16
| ~ aScalar0(X16) )
& ( sdtasdt0(X16,sz0z00) = sz0z00
| ~ aScalar0(X16) )
& ( sdtasdt0(sz0z00,X16) = sz0z00
| ~ aScalar0(X16) )
& ( sdtpldt0(X16,smndt0(X16)) = sz0z00
| ~ aScalar0(X16) )
& ( sdtpldt0(smndt0(X16),X16) = sz0z00
| ~ aScalar0(X16) )
& ( smndt0(smndt0(X16)) = X16
| ~ aScalar0(X16) )
& ( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X16) ) ),
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]) ).
fof(c_0_36,plain,
! [X41,X42,X43,X44] :
( ~ aScalar0(X41)
| ~ aScalar0(X42)
| ~ aScalar0(X43)
| ~ aScalar0(X44)
| ~ sdtlseqdt0(X41,X42)
| ~ sdtlseqdt0(sz0z00,X43)
| ~ sdtlseqdt0(X43,X44)
| sdtlseqdt0(sdtasdt0(X41,X43),sdtasdt0(X42,X44)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])]) ).
cnf(c_0_37,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_38,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_39,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_40,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_41,plain,
! [X13,X14] :
( ~ aScalar0(X13)
| ~ aScalar0(X14)
| aScalar0(sdtasdt0(X13,X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).
fof(c_0_42,plain,
! [X27,X28] :
( ( sdtasdt0(X27,smndt0(X28)) = smndt0(sdtasdt0(X27,X28))
| ~ aScalar0(X27)
| ~ aScalar0(X28) )
& ( sdtasdt0(smndt0(X27),X28) = smndt0(sdtasdt0(X27,X28))
| ~ aScalar0(X27)
| ~ aScalar0(X28) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])]) ).
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_36]) ).
cnf(c_0_44,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_45,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_37,c_0_38]),c_0_39]),c_0_34])]) ).
cnf(c_0_46,negated_conjecture,
sdtpldt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sz0z00) = smndt0(sdtasasdt0(esk3_0,esk3_0)),
inference(spm,[status(thm)],[c_0_40,c_0_34]) ).
cnf(c_0_47,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,plain,
( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),X1),sdtasdt0(sz0z00,X2))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ 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_43,c_0_32]),c_0_20]),c_0_26])]) ).
cnf(c_0_50,negated_conjecture,
sdtasdt0(sz0z00,smndt0(sdtasasdt0(esk3_0,esk3_0))) = sz0z00,
inference(spm,[status(thm)],[c_0_44,c_0_34]) ).
cnf(c_0_51,negated_conjecture,
sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(esk3_0,esk3_0))),
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(spm,[status(thm)],[c_0_33,c_0_20]) ).
cnf(c_0_53,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_54,negated_conjecture,
( aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),X1))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_26]) ).
cnf(c_0_55,negated_conjecture,
( smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),X1)) = sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(X1))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_26]) ).
fof(c_0_56,plain,
! [X32,X33] :
( ~ aScalar0(X32)
| ~ aScalar0(X33)
| ~ sdtlseqdt0(X32,X33)
| ~ sdtlseqdt0(X33,X32)
| X32 = X33 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])]) ).
cnf(c_0_57,negated_conjecture,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))),sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(esk3_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_38]),c_0_50]),c_0_34])]) ).
cnf(c_0_58,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_51]),c_0_52]),c_0_34]),c_0_20])]) ).
cnf(c_0_59,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_60,negated_conjecture,
sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_53,c_0_26]) ).
fof(c_0_61,plain,
! [X29,X30] :
( ~ aScalar0(X29)
| ~ aScalar0(X30)
| sdtasdt0(smndt0(X29),smndt0(X30)) = sdtasdt0(X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMDNeg])]) ).
cnf(c_0_62,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_63,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0))),
inference(spm,[status(thm)],[c_0_54,c_0_26]) ).
cnf(c_0_64,negated_conjecture,
smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0))) = sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))),
inference(spm,[status(thm)],[c_0_55,c_0_26]) ).
cnf(c_0_65,plain,
( X1 = X2
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_66,negated_conjecture,
sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_51])]) ).
cnf(c_0_67,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_58,c_0_59]),c_0_60]),c_0_26])]) ).
cnf(c_0_68,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0)))),
inference(spm,[status(thm)],[c_0_54,c_0_34]) ).
cnf(c_0_69,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_70,plain,
! [X50,X51] :
( ~ aScalar0(X50)
| ~ aScalar0(X51)
| ~ sdtlseqdt0(sz0z00,X50)
| ~ sdtlseqdt0(sz0z00,X51)
| sdtasdt0(X50,X50) != sdtasdt0(X51,X51)
| X50 = X51 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])]) ).
cnf(c_0_71,plain,
( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_72,negated_conjecture,
smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0)))) = sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_73,negated_conjecture,
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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_20])]),c_0_67]),c_0_68])]) ).
cnf(c_0_74,plain,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_69,c_0_20]) ).
cnf(c_0_75,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_70]) ).
cnf(c_0_76,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_53,c_0_20]) ).
cnf(c_0_77,negated_conjecture,
( sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),smndt0(X1)) = sdtasdt0(sdtasasdt0(esk3_0,esk3_0),X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_26]) ).
cnf(c_0_78,negated_conjecture,
sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0)) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_79,plain,
( sz0z00 = X1
| sdtasdt0(X1,X1) != sz0z00
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_52]),c_0_20])]),c_0_76]) ).
cnf(c_0_80,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_77,c_0_26]),c_0_78]) ).
cnf(c_0_81,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_82,negated_conjecture,
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_79,c_0_80]),c_0_51]),c_0_34])]) ).
cnf(c_0_83,negated_conjecture,
sdtpldt0(sz0z00,sdtasasdt0(esk3_0,esk3_0)) = sdtasasdt0(esk3_0,esk3_0),
inference(spm,[status(thm)],[c_0_81,c_0_26]) ).
cnf(c_0_84,negated_conjecture,
sdtasasdt0(esk3_0,esk3_0) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_82]),c_0_83]) ).
cnf(c_0_85,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_84]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG048+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 03:02:55 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.55 start to proof: theBenchmark
% 0.17/0.83 % Version : CSE_E---1.5
% 0.17/0.83 % Problem : theBenchmark.p
% 0.17/0.83 % Proof found
% 0.17/0.83 % SZS status Theorem for theBenchmark.p
% 0.17/0.83 % SZS output start Proof
% See solution above
% 0.17/0.84 % Total time : 0.272000 s
% 0.17/0.84 % SZS output end Proof
% 0.17/0.84 % Total time : 0.274000 s
%------------------------------------------------------------------------------