TSTP Solution File: RNG051+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG051+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n002.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 13:48:44 EDT 2023
% Result : Theorem 71.94s 71.98s
% Output : CNFRefutation 71.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 37
% Syntax : Number of formulae : 229 ( 100 unt; 19 typ; 0 def)
% Number of atoms : 520 ( 122 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 523 ( 213 ~; 222 |; 54 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 5 ( 2 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 : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 178 ( 2 sgn; 76 !; 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 ).
tff(decl_40,type,
esk4_0: $i ).
fof(mScPr,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> aScalar0(sdtasasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScPr) ).
fof(m__,conjecture,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> ( ! [X3,X4] :
( ( aVector0(X3)
& aVector0(X4) )
=> ( aDimensionOf0(X3) = aDimensionOf0(X4)
=> ( iLess0(aDimensionOf0(X3),aDimensionOf0(X1))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X3,X4),sdtasasdt0(X3,X4)),sdtasdt0(sdtasasdt0(X3,X3),sdtasasdt0(X4,X4))) ) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(mScSqPos,axiom,
! [X1] :
( aVector0(X1)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(mLERef,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
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/sandbox/benchmark/theBenchmark.p',mLEMon) ).
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/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(mLETot,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
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/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(mArith,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
& sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
& sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
& sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
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/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(mLETrn,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).
fof(mLEASm,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).
fof(mMDNeg,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mSqrt) ).
fof(mSqPos,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(c_0_18,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_19,negated_conjecture,
~ ! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> ( ! [X3,X4] :
( ( aVector0(X3)
& aVector0(X4) )
=> ( aDimensionOf0(X3) = aDimensionOf0(X4)
=> ( iLess0(aDimensionOf0(X3),aDimensionOf0(X1))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X3,X4),sdtasasdt0(X3,X4)),sdtasdt0(sdtasasdt0(X3,X3),sdtasasdt0(X4,X4))) ) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2))) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_20,plain,
( aScalar0(sdtasasdt0(X1,X2))
| ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_21,negated_conjecture,
! [X71,X72] :
( aVector0(esk3_0)
& aVector0(esk4_0)
& aDimensionOf0(esk3_0) = aDimensionOf0(esk4_0)
& ( ~ aVector0(X71)
| ~ aVector0(X72)
| aDimensionOf0(X71) != aDimensionOf0(X72)
| ~ iLess0(aDimensionOf0(X71),aDimensionOf0(esk3_0))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X71,X72),sdtasasdt0(X71,X72)),sdtasdt0(sdtasasdt0(X71,X71),sdtasasdt0(X72,X72))) )
& ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk4_0))) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_22,plain,
! [X13,X14] :
( ~ aScalar0(X13)
| ~ aScalar0(X14)
| aScalar0(sdtasdt0(X13,X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).
cnf(c_0_23,plain,
( aScalar0(sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_24,negated_conjecture,
aVector0(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
aVector0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_26,plain,
! [X68] :
( ~ aVector0(X68)
| sdtlseqdt0(sz0z00,sdtasasdt0(X68,X68)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])]) ).
fof(c_0_27,plain,
! [X15] :
( ~ aScalar0(X15)
| aScalar0(smndt0(X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).
cnf(c_0_28,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
aScalar0(sdtasasdt0(esk4_0,esk4_0)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( aScalar0(sdtasasdt0(esk3_0,X1))
| aDimensionOf0(esk3_0) != aDimensionOf0(X1)
| ~ aVector0(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
aDimensionOf0(esk3_0) = aDimensionOf0(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_32,plain,
! [X31] :
( ~ aScalar0(X31)
| sdtlseqdt0(X31,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLERef])]) ).
fof(c_0_33,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_34,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_36,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])])]) ).
fof(c_0_37,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_38,negated_conjecture,
( aScalar0(sdtasdt0(X1,sdtasasdt0(esk4_0,esk4_0)))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,negated_conjecture,
aScalar0(sdtasasdt0(esk3_0,esk3_0)),
inference(spm,[status(thm)],[c_0_23,c_0_25]) ).
cnf(c_0_40,negated_conjecture,
aScalar0(sdtasasdt0(esk3_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_31])]) ).
fof(c_0_41,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_42,plain,
( sdtlseqdt0(X1,X1)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
fof(c_0_44,plain,
! [X17,X18,X19] :
( ( sdtpldt0(sdtpldt0(X17,X18),X19) = sdtpldt0(X17,sdtpldt0(X18,X19))
| ~ aScalar0(X17)
| ~ aScalar0(X18)
| ~ aScalar0(X19) )
& ( sdtpldt0(X17,X18) = sdtpldt0(X18,X17)
| ~ aScalar0(X17)
| ~ aScalar0(X18)
| ~ aScalar0(X19) )
& ( sdtasdt0(sdtasdt0(X17,X18),X19) = sdtasdt0(X17,sdtasdt0(X18,X19))
| ~ aScalar0(X17)
| ~ aScalar0(X18)
| ~ aScalar0(X19) )
& ( sdtasdt0(X17,X18) = sdtasdt0(X18,X17)
| ~ aScalar0(X17)
| ~ aScalar0(X18)
| ~ aScalar0(X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])]) ).
cnf(c_0_45,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_33]) ).
cnf(c_0_46,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasasdt0(esk4_0,esk4_0)),
inference(spm,[status(thm)],[c_0_34,c_0_24]) ).
cnf(c_0_47,negated_conjecture,
aScalar0(smndt0(sdtasasdt0(esk4_0,esk4_0))),
inference(spm,[status(thm)],[c_0_35,c_0_29]) ).
cnf(c_0_48,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_49,plain,
( sdtpldt0(sz0z00,X1) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_50,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_51,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk4_0))),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_52,negated_conjecture,
( aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),X1))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_40]) ).
cnf(c_0_53,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_41]) ).
cnf(c_0_54,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_55,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_56,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk3_0)),
inference(spm,[status(thm)],[c_0_34,c_0_25]) ).
cnf(c_0_57,negated_conjecture,
aScalar0(smndt0(sdtasasdt0(esk3_0,esk3_0))),
inference(spm,[status(thm)],[c_0_35,c_0_39]) ).
cnf(c_0_58,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_59,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_60,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_61,negated_conjecture,
sdtlseqdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0)),
inference(spm,[status(thm)],[c_0_42,c_0_29]) ).
cnf(c_0_62,negated_conjecture,
( sdtlseqdt0(sdtpldt0(sz0z00,X1),sdtpldt0(sdtasasdt0(esk4_0,esk4_0),X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_43])]),c_0_29])]) ).
cnf(c_0_63,negated_conjecture,
sdtlseqdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),smndt0(sdtasasdt0(esk4_0,esk4_0))),
inference(spm,[status(thm)],[c_0_42,c_0_47]) ).
cnf(c_0_64,negated_conjecture,
sdtpldt0(sdtasasdt0(esk4_0,esk4_0),smndt0(sdtasasdt0(esk4_0,esk4_0))) = sz0z00,
inference(spm,[status(thm)],[c_0_48,c_0_29]) ).
cnf(c_0_65,negated_conjecture,
sdtpldt0(sz0z00,smndt0(sdtasasdt0(esk4_0,esk4_0))) = smndt0(sdtasasdt0(esk4_0,esk4_0)),
inference(spm,[status(thm)],[c_0_49,c_0_47]) ).
cnf(c_0_66,negated_conjecture,
( sdtlseqdt0(X1,sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk4_0)))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk4_0)),X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_67,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_52,c_0_40]) ).
cnf(c_0_68,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk4_0))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_69,negated_conjecture,
( sdtlseqdt0(sdtasdt0(X1,sz0z00),sdtasdt0(X2,sdtasasdt0(esk4_0,esk4_0)))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
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_53,c_0_46]),c_0_43])]),c_0_54]),c_0_29])]) ).
cnf(c_0_70,negated_conjecture,
sdtlseqdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0)),
inference(spm,[status(thm)],[c_0_42,c_0_39]) ).
cnf(c_0_71,negated_conjecture,
sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_55,c_0_39]) ).
fof(c_0_72,plain,
! [X34,X35,X36] :
( ~ aScalar0(X34)
| ~ aScalar0(X35)
| ~ aScalar0(X36)
| ~ sdtlseqdt0(X34,X35)
| ~ sdtlseqdt0(X35,X36)
| sdtlseqdt0(X34,X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETrn])]) ).
cnf(c_0_73,negated_conjecture,
( sdtlseqdt0(sdtpldt0(sz0z00,X1),sdtpldt0(sdtasasdt0(esk3_0,esk3_0),X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_56]),c_0_43])]),c_0_39])]) ).
cnf(c_0_74,negated_conjecture,
sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),smndt0(sdtasasdt0(esk3_0,esk3_0))),
inference(spm,[status(thm)],[c_0_42,c_0_57]) ).
cnf(c_0_75,negated_conjecture,
sdtpldt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sz0z00,
inference(spm,[status(thm)],[c_0_48,c_0_39]) ).
cnf(c_0_76,negated_conjecture,
sdtpldt0(sz0z00,smndt0(sdtasasdt0(esk3_0,esk3_0))) = smndt0(sdtasasdt0(esk3_0,esk3_0)),
inference(spm,[status(thm)],[c_0_49,c_0_57]) ).
cnf(c_0_77,negated_conjecture,
( sdtlseqdt0(sdtasdt0(sz0z00,X1),sdtasdt0(sdtasasdt0(esk4_0,esk4_0),X2))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_46]),c_0_43])]),c_0_29])]) ).
cnf(c_0_78,negated_conjecture,
sdtasdt0(sz0z00,sdtasasdt0(esk3_0,esk3_0)) = sz0z00,
inference(spm,[status(thm)],[c_0_58,c_0_39]) ).
cnf(c_0_79,negated_conjecture,
( aScalar0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),X1))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_80,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_43]) ).
cnf(c_0_81,plain,
( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_82,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_83,negated_conjecture,
( sdtlseqdt0(sdtasdt0(X1,sdtasasdt0(esk4_0,esk4_0)),sdtasdt0(X2,sdtasasdt0(esk4_0,esk4_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_53,c_0_61]),c_0_46]),c_0_29])]) ).
cnf(c_0_84,negated_conjecture,
sdtlseqdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),sz0z00),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_47])]),c_0_65]) ).
cnf(c_0_85,negated_conjecture,
sdtasdt0(sz0z00,sdtasasdt0(esk4_0,esk4_0)) = sz0z00,
inference(spm,[status(thm)],[c_0_58,c_0_29]) ).
cnf(c_0_86,negated_conjecture,
sdtasdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_55,c_0_47]) ).
cnf(c_0_87,negated_conjecture,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),X1),sdtasdt0(sdtasasdt0(esk4_0,esk4_0),X2))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_61]),c_0_29])]) ).
cnf(c_0_88,negated_conjecture,
sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk4_0)),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_89,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_39])]) ).
cnf(c_0_90,plain,
( sdtlseqdt0(X1,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_91,negated_conjecture,
sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sz0z00),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_57])]),c_0_76]) ).
cnf(c_0_92,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk3_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_70]),c_0_78]),c_0_56]),c_0_39])]) ).
cnf(c_0_93,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_55,c_0_43]) ).
cnf(c_0_94,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk3_0,esk3_0))),
inference(spm,[status(thm)],[c_0_79,c_0_39]) ).
cnf(c_0_95,negated_conjecture,
( sdtasdt0(sdtasasdt0(esk4_0,esk4_0),X1) = sdtasdt0(X1,sdtasasdt0(esk4_0,esk4_0))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_29]) ).
fof(c_0_96,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_97,plain,
( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_98,negated_conjecture,
( smndt0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),X1)) = sdtasdt0(sdtasasdt0(esk4_0,esk4_0),smndt0(X1))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_29]) ).
cnf(c_0_99,plain,
( X1 = X2
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_100,negated_conjecture,
sdtlseqdt0(sdtasdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),sdtasasdt0(esk4_0,esk4_0)),sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_43]),c_0_47])]) ).
cnf(c_0_101,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),sdtasasdt0(esk4_0,esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_63]),c_0_86]),c_0_47])]) ).
cnf(c_0_102,negated_conjecture,
aScalar0(sdtasdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),sdtasasdt0(esk4_0,esk4_0))),
inference(spm,[status(thm)],[c_0_38,c_0_47]) ).
cnf(c_0_103,negated_conjecture,
sdtlseqdt0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk4_0))),sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_67]),c_0_51])]) ).
cnf(c_0_104,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))),
inference(spm,[status(thm)],[c_0_79,c_0_67]) ).
cnf(c_0_105,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk4_0)))),
inference(spm,[status(thm)],[c_0_79,c_0_51]) ).
cnf(c_0_106,negated_conjecture,
( sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_43]),c_0_57])]) ).
cnf(c_0_107,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk3_0,esk3_0)))),
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_77,c_0_92]),c_0_93]),c_0_54]),c_0_94]),c_0_43])]) ).
cnf(c_0_108,negated_conjecture,
sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk3_0,esk3_0)) = sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk4_0)),
inference(spm,[status(thm)],[c_0_95,c_0_39]) ).
cnf(c_0_109,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk3_0,esk3_0)))),
inference(spm,[status(thm)],[c_0_79,c_0_94]) ).
cnf(c_0_110,plain,
( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_111,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0))),
inference(spm,[status(thm)],[c_0_79,c_0_29]) ).
cnf(c_0_112,negated_conjecture,
( smndt0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),X1)) = sdtasdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_29]) ).
cnf(c_0_113,negated_conjecture,
smndt0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0))) = sdtasdt0(sdtasasdt0(esk4_0,esk4_0),smndt0(sdtasasdt0(esk4_0,esk4_0))),
inference(spm,[status(thm)],[c_0_98,c_0_29]) ).
cnf(c_0_114,negated_conjecture,
sdtasdt0(smndt0(sdtasasdt0(esk4_0,esk4_0)),sdtasasdt0(esk4_0,esk4_0)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_43]),c_0_102])]) ).
cnf(c_0_115,negated_conjecture,
( sdtlseqdt0(X1,sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))))
| ~ sdtlseqdt0(X1,sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk4_0))))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_103]),c_0_104]),c_0_105])]) ).
cnf(c_0_116,negated_conjecture,
sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk4_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_109])]) ).
fof(c_0_117,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_118,negated_conjecture,
( sdtasdt0(smndt0(X1),smndt0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0)))) = sdtasdt0(X1,sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0)))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_119,negated_conjecture,
sdtasdt0(sdtasasdt0(esk4_0,esk4_0),smndt0(sdtasasdt0(esk4_0,esk4_0))) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_29]),c_0_113]),c_0_114]) ).
fof(c_0_120,plain,
! [X49] :
( ~ aScalar0(X49)
| sdtlseqdt0(sz0z00,sdtasdt0(X49,X49)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])]) ).
cnf(c_0_121,negated_conjecture,
sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_57])]) ).
cnf(c_0_122,negated_conjecture,
( sdtlseqdt0(X1,sdtasasdt0(esk3_0,esk4_0))
| sdtlseqdt0(sdtasasdt0(esk3_0,esk4_0),X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_40]) ).
cnf(c_0_123,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_117]) ).
cnf(c_0_124,negated_conjecture,
( sdtasdt0(X1,sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0))) = sdtasdt0(smndt0(X1),sz0z00)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_113]),c_0_119]) ).
cnf(c_0_125,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_126,negated_conjecture,
( aScalar0(sdtasasdt0(esk4_0,X1))
| aDimensionOf0(esk3_0) != aDimensionOf0(X1)
| ~ aVector0(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_24]),c_0_31]) ).
cnf(c_0_127,negated_conjecture,
( sdtlseqdt0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk3_0)),sdtasdt0(X2,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_53,c_0_70]),c_0_56]),c_0_39])]) ).
cnf(c_0_128,negated_conjecture,
( sdtlseqdt0(sdtasdt0(X1,sz0z00),sdtasdt0(X2,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_56]),c_0_43])]),c_0_54]),c_0_39])]) ).
cnf(c_0_129,negated_conjecture,
sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_55,c_0_57]) ).
cnf(c_0_130,negated_conjecture,
( aScalar0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk3_0)))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_39]) ).
cnf(c_0_131,negated_conjecture,
( sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),X1)
| ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_121]),c_0_104]),c_0_57])]) ).
cnf(c_0_132,negated_conjecture,
( sdtlseqdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),sdtasasdt0(esk3_0,esk4_0)) ),
inference(spm,[status(thm)],[c_0_122,c_0_104]) ).
cnf(c_0_133,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_123,c_0_93]),c_0_54]),c_0_43])]) ).
cnf(c_0_134,negated_conjecture,
sdtasdt0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0)),sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0))) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_111]),c_0_113]),c_0_119]),c_0_93]) ).
cnf(c_0_135,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0))),
inference(spm,[status(thm)],[c_0_125,c_0_29]) ).
cnf(c_0_136,negated_conjecture,
aScalar0(sdtasasdt0(esk4_0,esk3_0)),
inference(spm,[status(thm)],[c_0_126,c_0_25]) ).
cnf(c_0_137,negated_conjecture,
( aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),X1))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_39]) ).
cnf(c_0_138,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_81,c_0_39]) ).
cnf(c_0_139,negated_conjecture,
sdtlseqdt0(sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),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_127,c_0_91]),c_0_78]),c_0_43]),c_0_57])]) ).
cnf(c_0_140,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasdt0(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_128,c_0_74]),c_0_129]),c_0_57])]) ).
cnf(c_0_141,negated_conjecture,
aScalar0(sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sdtasasdt0(esk3_0,esk3_0))),
inference(spm,[status(thm)],[c_0_130,c_0_57]) ).
cnf(c_0_142,negated_conjecture,
( sdtlseqdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))))
| sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sdtasasdt0(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_40])]) ).
cnf(c_0_143,negated_conjecture,
sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasasdt0(esk4_0,esk4_0)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]),c_0_111])]) ).
cnf(c_0_144,negated_conjecture,
sdtlseqdt0(sdtasasdt0(esk4_0,esk3_0),sdtasasdt0(esk4_0,esk3_0)),
inference(spm,[status(thm)],[c_0_42,c_0_136]) ).
cnf(c_0_145,negated_conjecture,
sdtasdt0(sdtasasdt0(esk4_0,esk3_0),sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_55,c_0_136]) ).
cnf(c_0_146,negated_conjecture,
( sdtasdt0(sdtasasdt0(esk4_0,esk3_0),X1) = sdtasdt0(X1,sdtasasdt0(esk4_0,esk3_0))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_136]) ).
cnf(c_0_147,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_148,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0))),
inference(spm,[status(thm)],[c_0_137,c_0_39]) ).
cnf(c_0_149,negated_conjecture,
( smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),X1)) = sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_39]) ).
cnf(c_0_150,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_138,c_0_39]) ).
cnf(c_0_151,negated_conjecture,
sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),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_99,c_0_139]),c_0_140]),c_0_43]),c_0_141])]) ).
cnf(c_0_152,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_153,negated_conjecture,
( aScalar0(sdtasdt0(X1,sdtasasdt0(esk3_0,esk4_0)))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_40]) ).
cnf(c_0_154,negated_conjecture,
aScalar0(smndt0(sdtasasdt0(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_35,c_0_40]) ).
cnf(c_0_155,negated_conjecture,
( smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),X1)) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),smndt0(X1))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_40]) ).
cnf(c_0_156,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_157,negated_conjecture,
( sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sdtasasdt0(esk3_0,esk4_0))
| sdtlseqdt0(sdtasasdt0(esk3_0,esk4_0),X1)
| ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(esk4_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_142]),c_0_104]),c_0_40])]) ).
cnf(c_0_158,negated_conjecture,
sdtasasdt0(esk4_0,esk4_0) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_143]),c_0_46]),c_0_29])]) ).
cnf(c_0_159,negated_conjecture,
sdtasdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))) = sz0z00,
inference(spm,[status(thm)],[c_0_58,c_0_67]) ).
cnf(c_0_160,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk4_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_128,c_0_144]),c_0_145]),c_0_136])]) ).
cnf(c_0_161,negated_conjecture,
sdtasdt0(sdtasasdt0(esk4_0,esk3_0),sdtasasdt0(esk3_0,esk3_0)) = sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk3_0)),
inference(spm,[status(thm)],[c_0_146,c_0_39]) ).
cnf(c_0_162,negated_conjecture,
sdtpldt0(smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0))),sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0))) = sz0z00,
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_163,negated_conjecture,
sdtasdt0(sdtasasdt0(esk3_0,esk3_0),smndt0(sdtasasdt0(esk3_0,esk3_0))) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_39]),c_0_150]),c_0_151]) ).
cnf(c_0_164,negated_conjecture,
sdtpldt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0))) = sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0)),
inference(spm,[status(thm)],[c_0_49,c_0_148]) ).
cnf(c_0_165,negated_conjecture,
( sdtasdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),X1),X2) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_40]) ).
cnf(c_0_166,negated_conjecture,
aScalar0(sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk4_0)),sdtasasdt0(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_167,negated_conjecture,
( smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),X1)) = sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk4_0)),X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_40]) ).
cnf(c_0_168,negated_conjecture,
smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),smndt0(sdtasasdt0(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_155,c_0_40]) ).
cnf(c_0_169,negated_conjecture,
smndt0(smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_156,c_0_67]) ).
cnf(c_0_170,negated_conjecture,
sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_42,c_0_67]) ).
cnf(c_0_171,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_125,c_0_40]) ).
cnf(c_0_172,negated_conjecture,
( sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sdtasasdt0(esk3_0,esk4_0))
| sdtlseqdt0(sdtasasdt0(esk3_0,esk4_0),X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]) ).
cnf(c_0_173,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk3_0))),
inference(rw,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_174,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk3_0))),
inference(spm,[status(thm)],[c_0_137,c_0_136]) ).
cnf(c_0_175,negated_conjecture,
sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk3_0,esk3_0)) = sz0z00,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_150]),c_0_163]),c_0_164]) ).
cnf(c_0_176,plain,
( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_177,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_53,c_0_54]),c_0_43])]) ).
cnf(c_0_178,negated_conjecture,
sdtlseqdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_42,c_0_40]) ).
cnf(c_0_179,negated_conjecture,
sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_55,c_0_40]) ).
cnf(c_0_180,negated_conjecture,
( sdtasdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),X1) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),X1))
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_40]) ).
cnf(c_0_181,negated_conjecture,
aScalar0(smndt0(sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk4_0)),sdtasasdt0(esk3_0,esk4_0)))),
inference(spm,[status(thm)],[c_0_35,c_0_166]) ).
cnf(c_0_182,negated_conjecture,
sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk4_0)),sdtasasdt0(esk3_0,esk4_0)) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),smndt0(sdtasasdt0(esk3_0,esk4_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_40]),c_0_168]) ).
cnf(c_0_183,negated_conjecture,
smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),smndt0(sdtasasdt0(esk3_0,esk4_0)))) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),
inference(rw,[status(thm)],[c_0_169,c_0_168]) ).
cnf(c_0_184,negated_conjecture,
( sdtlseqdt0(sdtasdt0(X1,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),sdtasdt0(X2,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_170]),c_0_67])]),c_0_171])]) ).
cnf(c_0_185,negated_conjecture,
( sdtlseqdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk3_0),sdtasasdt0(esk4_0,esk3_0)))
| sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk3_0)),sdtasasdt0(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174])]) ).
cnf(c_0_186,negated_conjecture,
sdtasasdt0(esk3_0,esk3_0) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_175]),c_0_56]),c_0_39])]) ).
cnf(c_0_187,negated_conjecture,
sdtasdt0(sz0z00,sdtasasdt0(esk4_0,esk3_0)) = sz0z00,
inference(spm,[status(thm)],[c_0_58,c_0_136]) ).
cnf(c_0_188,plain,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_176,c_0_43]) ).
cnf(c_0_189,negated_conjecture,
( sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]),c_0_40])]) ).
cnf(c_0_190,negated_conjecture,
sdtasdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]),c_0_183]),c_0_182]),c_0_183]) ).
cnf(c_0_191,negated_conjecture,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))),sz0z00)
| sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk4_0)) ),
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(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]),c_0_187]),c_0_159]),c_0_186]),c_0_188]),c_0_174]),c_0_40])]) ).
cnf(c_0_192,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_171]),c_0_67])]) ).
cnf(c_0_193,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))),
inference(spm,[status(thm)],[c_0_52,c_0_67]) ).
cnf(c_0_194,negated_conjecture,
( sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)) = sz0z00
| sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))) != sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_190]),c_0_171]),c_0_67])]) ).
cnf(c_0_195,negated_conjecture,
( sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0))) = sz0z00
| sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_191]),c_0_192]),c_0_43]),c_0_193])]) ).
cnf(c_0_196,negated_conjecture,
sdtlseqdt0(smndt0(sdtasasdt0(esk3_0,esk4_0)),smndt0(sdtasasdt0(esk3_0,esk4_0))),
inference(spm,[status(thm)],[c_0_42,c_0_154]) ).
cnf(c_0_197,negated_conjecture,
sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk4_0)),sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_55,c_0_154]) ).
cnf(c_0_198,negated_conjecture,
( sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)) = sz0z00
| sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_179])]) ).
cnf(c_0_199,negated_conjecture,
( sdtlseqdt0(sz0z00,sdtasdt0(smndt0(sdtasasdt0(esk3_0,esk4_0)),X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_196]),c_0_197]),c_0_154])]) ).
cnf(c_0_200,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_198]),c_0_89])]) ).
cnf(c_0_201,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_202,negated_conjecture,
sdtpldt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),smndt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)))) = sz0z00,
inference(spm,[status(thm)],[c_0_48,c_0_67]) ).
cnf(c_0_203,negated_conjecture,
( sdtlseqdt0(sdtpldt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),X1),sdtpldt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_170]),c_0_67])]) ).
cnf(c_0_204,negated_conjecture,
sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(esk3_0,esk4_0),smndt0(sdtasasdt0(esk3_0,esk4_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_182]),c_0_40])]) ).
cnf(c_0_205,negated_conjecture,
sdtpldt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),sz0z00) = sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_201,c_0_67]) ).
cnf(c_0_206,negated_conjecture,
sdtpldt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),sdtasdt0(sdtasasdt0(esk3_0,esk4_0),smndt0(sdtasasdt0(esk3_0,esk4_0)))) = sz0z00,
inference(rw,[status(thm)],[c_0_202,c_0_168]) ).
cnf(c_0_207,negated_conjecture,
aScalar0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),smndt0(sdtasasdt0(esk3_0,esk4_0)))),
inference(spm,[status(thm)],[c_0_52,c_0_154]) ).
cnf(c_0_208,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(esk3_0,esk4_0),sdtasasdt0(esk3_0,esk4_0)),sz0z00),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_158]),c_0_71]) ).
cnf(c_0_209,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_203,c_0_204]),c_0_205]),c_0_206]),c_0_207]),c_0_43])]),c_0_208]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG051+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 02:25:48 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 71.94/71.98 % Version : CSE_E---1.5
% 71.94/71.98 % Problem : theBenchmark.p
% 71.94/71.98 % Proof found
% 71.94/71.98 % SZS status Theorem for theBenchmark.p
% 71.94/71.98 % SZS output start Proof
% See solution above
% 71.94/72.00 % Total time : 71.415000 s
% 71.94/72.00 % SZS output end Proof
% 71.94/72.00 % Total time : 71.422000 s
%------------------------------------------------------------------------------