TSTP Solution File: NUM528+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM528+3 : 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 : n026.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 10:38:25 EDT 2023
% Result : Theorem 0.15s 0.88s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 49
% Syntax : Number of formulae : 163 ( 42 unt; 24 typ; 0 def)
% Number of atoms : 492 ( 175 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 577 ( 224 ~; 247 |; 77 &)
% ( 2 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 15 >; 13 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 138 ( 0 sgn; 68 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aNaturalNumber0: $i > $o ).
tff(decl_23,type,
sz00: $i ).
tff(decl_24,type,
sz10: $i ).
tff(decl_25,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_26,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(decl_27,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(decl_28,type,
sdtmndt0: ( $i * $i ) > $i ).
tff(decl_29,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_30,type,
doDivides0: ( $i * $i ) > $o ).
tff(decl_31,type,
sdtsldt0: ( $i * $i ) > $i ).
tff(decl_32,type,
isPrime0: $i > $o ).
tff(decl_33,type,
xn: $i ).
tff(decl_34,type,
xm: $i ).
tff(decl_35,type,
xp: $i ).
tff(decl_36,type,
xq: $i ).
tff(decl_37,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_38,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk3_1: $i > $i ).
tff(decl_40,type,
esk4_1: $i > $i ).
tff(decl_41,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
esk7_0: $i ).
tff(decl_44,type,
esk8_0: $i ).
tff(decl_45,type,
esk9_0: $i ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mDefQuot,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != sz00
& doDivides0(X1,X2) )
=> ! [X3] :
( X3 = sdtsldt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(m__3082,hypothesis,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3082) ).
fof(m__2987,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2987) ).
fof(m__3046,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xn) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xp,X1) )
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3046) ).
fof(m__3059,hypothesis,
( aNaturalNumber0(xq)
& xn = sdtasdt0(xp,xq)
& xq = sdtsldt0(xn,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3059) ).
fof(mMonMul2,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).
fof(m__3152,hypothesis,
( ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xn,X1) = xm )
| sdtlseqdt0(xn,xm) )
=> ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(sdtasdt0(xn,xn),X1) = sdtasdt0(xm,xm) )
& sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3152) ).
fof(m_AddZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(m__3014,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3014) ).
fof(mLETotal,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(m__,conjecture,
( xm != xn
& ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xn )
| sdtlseqdt0(xm,xn) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mPDP,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( isPrime0(X3)
& doDivides0(X3,sdtasdt0(X1,X2)) )
=> ( doDivides0(X3,X1)
| doDivides0(X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPDP) ).
fof(m__3025,hypothesis,
( xp != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xp = sdtasdt0(X1,X2) )
| doDivides0(X1,xp) ) )
=> ( X1 = sz10
| X1 = xp ) )
& isPrime0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3025) ).
fof(mDivTrans,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivTrans) ).
fof(mPrimDiv,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrimDiv) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(mZeroMul,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroMul) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mZeroAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroAdd) ).
fof(mMulCanc,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 != sz00
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
| sdtasdt0(X2,X1) = sdtasdt0(X3,X1) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
fof(c_0_25,plain,
! [X62,X63,X65] :
( ( aNaturalNumber0(esk2_2(X62,X63))
| ~ doDivides0(X62,X63)
| ~ aNaturalNumber0(X62)
| ~ aNaturalNumber0(X63) )
& ( X63 = sdtasdt0(X62,esk2_2(X62,X63))
| ~ doDivides0(X62,X63)
| ~ aNaturalNumber0(X62)
| ~ aNaturalNumber0(X63) )
& ( ~ aNaturalNumber0(X65)
| X63 != sdtasdt0(X62,X65)
| doDivides0(X62,X63)
| ~ aNaturalNumber0(X62)
| ~ aNaturalNumber0(X63) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])]) ).
fof(c_0_26,plain,
! [X8,X9] :
( ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X9)
| aNaturalNumber0(sdtasdt0(X8,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(c_0_27,plain,
! [X66,X67,X68] :
( ( aNaturalNumber0(X68)
| X68 != sdtsldt0(X67,X66)
| X66 = sz00
| ~ doDivides0(X66,X67)
| ~ aNaturalNumber0(X66)
| ~ aNaturalNumber0(X67) )
& ( X67 = sdtasdt0(X66,X68)
| X68 != sdtsldt0(X67,X66)
| X66 = sz00
| ~ doDivides0(X66,X67)
| ~ aNaturalNumber0(X66)
| ~ aNaturalNumber0(X67) )
& ( ~ aNaturalNumber0(X68)
| X67 != sdtasdt0(X66,X68)
| X68 = sdtsldt0(X67,X66)
| X66 = sz00
| ~ doDivides0(X66,X67)
| ~ aNaturalNumber0(X66)
| ~ aNaturalNumber0(X67) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).
cnf(c_0_28,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,hypothesis,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(split_conjunct,[status(thm)],[m__3082]) ).
cnf(c_0_31,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_32,plain,
( X1 = sdtsldt0(X2,X3)
| X3 = sz00
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_28]),c_0_29]) ).
fof(c_0_34,hypothesis,
( aNaturalNumber0(esk7_0)
& sdtasdt0(xn,xn) = sdtasdt0(xp,esk7_0)
& doDivides0(xp,sdtasdt0(xn,xn))
& aNaturalNumber0(esk8_0)
& xn = sdtasdt0(xp,esk8_0)
& doDivides0(xp,xn) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__3046])]) ).
cnf(c_0_35,hypothesis,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_36,hypothesis,
aNaturalNumber0(xq),
inference(split_conjunct,[status(thm)],[m__3059]) ).
cnf(c_0_37,plain,
( sdtsldt0(sdtasdt0(X1,X2),X1) = X2
| X1 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_32]),c_0_29]),c_0_33]) ).
cnf(c_0_38,hypothesis,
sdtasdt0(xn,xn) = sdtasdt0(xp,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,hypothesis,
aNaturalNumber0(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[m__2987]) ).
fof(c_0_41,plain,
! [X58,X59] :
( ~ aNaturalNumber0(X58)
| ~ aNaturalNumber0(X59)
| X58 = sz00
| sdtlseqdt0(X59,sdtasdt0(X59,X58)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).
fof(c_0_42,hypothesis,
! [X100] :
( ( aNaturalNumber0(esk9_0)
| ~ aNaturalNumber0(X100)
| sdtpldt0(xn,X100) != xm )
& ( sdtpldt0(sdtasdt0(xn,xn),esk9_0) = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(X100)
| sdtpldt0(xn,X100) != xm )
& ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X100)
| sdtpldt0(xn,X100) != xm )
& ( aNaturalNumber0(esk9_0)
| ~ sdtlseqdt0(xn,xm) )
& ( sdtpldt0(sdtasdt0(xn,xn),esk9_0) = sdtasdt0(xm,xm)
| ~ sdtlseqdt0(xn,xm) )
& ( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3152])])])])]) ).
fof(c_0_43,plain,
! [X15] :
( ( sdtpldt0(X15,sz00) = X15
| ~ aNaturalNumber0(X15) )
& ( X15 = sdtpldt0(sz00,X15)
| ~ aNaturalNumber0(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
cnf(c_0_44,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(split_conjunct,[status(thm)],[m__3014]) ).
cnf(c_0_45,hypothesis,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_29]),c_0_36])]) ).
cnf(c_0_46,hypothesis,
sdtsldt0(sdtasdt0(xn,xn),xp) = esk7_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_31]),c_0_39])]),c_0_40]) ).
cnf(c_0_47,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_48,plain,
! [X49,X50] :
( ( X50 != X49
| sdtlseqdt0(X49,X50)
| ~ aNaturalNumber0(X49)
| ~ aNaturalNumber0(X50) )
& ( sdtlseqdt0(X50,X49)
| sdtlseqdt0(X49,X50)
| ~ aNaturalNumber0(X49)
| ~ aNaturalNumber0(X50) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).
cnf(c_0_49,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X1)
| sdtpldt0(xn,X1) != xm ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_52,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__2987]) ).
fof(c_0_53,plain,
! [X44,X45] :
( ~ aNaturalNumber0(X44)
| ~ aNaturalNumber0(X45)
| ~ sdtlseqdt0(X44,X45)
| ~ sdtlseqdt0(X45,X44)
| X44 = X45 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
cnf(c_0_54,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_55,hypothesis,
sdtasdt0(xm,xm) = esk7_0,
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_44]),c_0_31]),c_0_45])]),c_0_40]),c_0_46]) ).
cnf(c_0_56,hypothesis,
( X1 = sz00
| sdtlseqdt0(esk7_0,sdtasdt0(esk7_0,X1))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_39]) ).
fof(c_0_57,plain,
! [X16,X17] :
( ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X17)
| sdtasdt0(X16,X17) = sdtasdt0(X17,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(c_0_58,negated_conjecture,
~ ( xm != xn
& ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xn )
| sdtlseqdt0(xm,xn) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_59,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_60,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_61,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| xm != xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52])]) ).
cnf(c_0_62,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_63,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),esk7_0)
| ~ sdtlseqdt0(xn,xm) ),
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_64,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_38]),c_0_39]),c_0_31])]) ).
cnf(c_0_65,hypothesis,
sdtlseqdt0(esk7_0,sdtasdt0(esk7_0,xp)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_31]),c_0_40]) ).
cnf(c_0_66,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_67,negated_conjecture,
! [X102] :
( ( ~ aNaturalNumber0(X102)
| sdtpldt0(xm,X102) != xn
| xm = xn )
& ( ~ sdtlseqdt0(xm,xn)
| xm = xn ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])]) ).
cnf(c_0_68,hypothesis,
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,xn),esk7_0)
| xm != xn ),
inference(rw,[status(thm)],[c_0_61,c_0_55]) ).
fof(c_0_70,plain,
! [X88,X89,X90] :
( ~ aNaturalNumber0(X88)
| ~ aNaturalNumber0(X89)
| ~ aNaturalNumber0(X90)
| ~ isPrime0(X90)
| ~ doDivides0(X90,sdtasdt0(X88,X89))
| doDivides0(X90,X88)
| doDivides0(X90,X89) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPDP])]) ).
cnf(c_0_71,hypothesis,
( sdtasdt0(xn,xn) = esk7_0
| ~ sdtlseqdt0(esk7_0,sdtasdt0(xn,xn))
| ~ sdtlseqdt0(xn,xm) ),
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_39])]) ).
cnf(c_0_72,hypothesis,
sdtlseqdt0(esk7_0,sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_38]),c_0_31]),c_0_39])]) ).
cnf(c_0_73,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,hypothesis,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(xn,xm) ),
inference(spm,[status(thm)],[c_0_68,c_0_52]) ).
cnf(c_0_75,hypothesis,
( sdtasdt0(xn,xn) = esk7_0
| xm != xn
| ~ sdtlseqdt0(esk7_0,sdtasdt0(xn,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_69]),c_0_64]),c_0_39])]) ).
cnf(c_0_76,plain,
( doDivides0(X3,X1)
| doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ isPrime0(X3)
| ~ doDivides0(X3,sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
fof(c_0_77,hypothesis,
! [X96,X97] :
( xp != sz10
& ( ~ aNaturalNumber0(X97)
| xp != sdtasdt0(X96,X97)
| ~ aNaturalNumber0(X96)
| X96 = sz10
| X96 = xp )
& ( ~ doDivides0(X96,xp)
| ~ aNaturalNumber0(X96)
| X96 = sz10
| X96 = xp )
& isPrime0(xp) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3025])])])]) ).
cnf(c_0_78,hypothesis,
( sdtasdt0(xn,xn) = esk7_0
| ~ sdtlseqdt0(xn,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]) ).
cnf(c_0_79,negated_conjecture,
( xm = xn
| sdtlseqdt0(xn,xm) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,hypothesis,
( sdtasdt0(xn,xn) = esk7_0
| xm != xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_72])]) ).
cnf(c_0_81,hypothesis,
( doDivides0(X1,xm)
| ~ isPrime0(X1)
| ~ doDivides0(X1,esk7_0)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_55]),c_0_60])]) ).
cnf(c_0_82,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_83,hypothesis,
doDivides0(xp,sdtasdt0(xn,xn)),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_84,negated_conjecture,
sdtasdt0(xn,xn) = esk7_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
fof(c_0_85,plain,
! [X69,X70,X71] :
( ~ aNaturalNumber0(X69)
| ~ aNaturalNumber0(X70)
| ~ aNaturalNumber0(X71)
| ~ doDivides0(X69,X70)
| ~ doDivides0(X70,X71)
| doDivides0(X69,X71) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
cnf(c_0_86,hypothesis,
( doDivides0(xp,xm)
| ~ doDivides0(xp,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_31])]) ).
cnf(c_0_87,hypothesis,
doDivides0(xp,esk7_0),
inference(rw,[status(thm)],[c_0_83,c_0_84]) ).
fof(c_0_88,plain,
! [X86] :
( ( aNaturalNumber0(esk4_1(X86))
| ~ aNaturalNumber0(X86)
| X86 = sz00
| X86 = sz10 )
& ( doDivides0(esk4_1(X86),X86)
| ~ aNaturalNumber0(X86)
| X86 = sz00
| X86 = sz10 )
& ( isPrime0(esk4_1(X86))
| ~ aNaturalNumber0(X86)
| X86 = sz00
| X86 = sz10 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrimDiv])])])]) ).
cnf(c_0_89,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_90,hypothesis,
doDivides0(xm,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_55]),c_0_60])]) ).
cnf(c_0_91,hypothesis,
doDivides0(xp,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]) ).
cnf(c_0_92,plain,
( doDivides0(esk4_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_93,hypothesis,
xp != sz10,
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_94,plain,
( aNaturalNumber0(esk4_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_95,hypothesis,
( doDivides0(X1,esk7_0)
| ~ doDivides0(X1,xm)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_39]),c_0_60])]) ).
cnf(c_0_96,hypothesis,
( doDivides0(X1,xm)
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_91]),c_0_60]),c_0_31])]) ).
cnf(c_0_97,hypothesis,
doDivides0(esk4_1(xp),xp),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_31]),c_0_40]),c_0_93]) ).
cnf(c_0_98,hypothesis,
aNaturalNumber0(esk4_1(xp)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_31]),c_0_40]),c_0_93]) ).
fof(c_0_99,plain,
! [X21] :
( ( sdtasdt0(X21,sz10) = X21
| ~ aNaturalNumber0(X21) )
& ( X21 = sdtasdt0(sz10,X21)
| ~ aNaturalNumber0(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
fof(c_0_100,plain,
! [X34,X35] :
( ~ aNaturalNumber0(X34)
| ~ aNaturalNumber0(X35)
| sdtasdt0(X34,X35) != sz00
| X34 = sz00
| X35 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])]) ).
cnf(c_0_101,hypothesis,
( doDivides0(X1,esk7_0)
| ~ doDivides0(X2,xm)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_95]),c_0_39])]) ).
cnf(c_0_102,hypothesis,
doDivides0(esk4_1(xp),xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98])]) ).
cnf(c_0_103,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_104,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
fof(c_0_105,plain,
! [X32,X33] :
( ( X32 = sz00
| sdtpldt0(X32,X33) != sz00
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(X33) )
& ( X33 = sz00
| sdtpldt0(X32,X33) != sz00
| ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(X33) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])]) ).
cnf(c_0_106,plain,
( X1 = sz00
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_107,plain,
( X1 = sdtasdt0(X2,X3)
| X2 = sz00
| X3 != sdtsldt0(X1,X2)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_108,hypothesis,
( doDivides0(X1,esk7_0)
| ~ doDivides0(X1,esk4_1(xp))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_98])]) ).
cnf(c_0_109,plain,
( doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_103]),c_0_104])]) ).
cnf(c_0_110,plain,
( aNaturalNumber0(X1)
| X3 = sz00
| X1 != sdtsldt0(X2,X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_111,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_112,hypothesis,
( sdtpldt0(sdtasdt0(xn,xn),esk9_0) = sdtasdt0(xm,xm)
| ~ sdtlseqdt0(xn,xm) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_113,hypothesis,
( aNaturalNumber0(esk9_0)
| ~ sdtlseqdt0(xn,xm) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_114,hypothesis,
( sdtpldt0(sdtasdt0(xn,xn),esk9_0) = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(X1)
| sdtpldt0(xn,X1) != xm ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_115,hypothesis,
( sdtasdt0(xm,xm) = sz00
| sdtasdt0(xn,xn) != sz00 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_44]),c_0_45]),c_0_31])]),c_0_40]) ).
cnf(c_0_116,hypothesis,
xm != sz00,
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_117,hypothesis,
( aNaturalNumber0(esk9_0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(xn,X1) != xm ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_118,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_107]) ).
cnf(c_0_119,hypothesis,
doDivides0(sz10,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_104]),c_0_98])]) ).
cnf(c_0_120,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_121,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_110]) ).
cnf(c_0_122,hypothesis,
( sdtasdt0(xn,xn) = sz00
| sdtasdt0(xm,xm) != sz00
| ~ sdtlseqdt0(xn,xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).
cnf(c_0_123,hypothesis,
( sdtpldt0(sdtasdt0(xn,xn),esk9_0) = sdtasdt0(xm,xm)
| xm != xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_50]),c_0_51]),c_0_52])]) ).
cnf(c_0_124,hypothesis,
sdtasdt0(xn,xn) != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_115]),c_0_60])]),c_0_116]) ).
cnf(c_0_125,hypothesis,
( aNaturalNumber0(esk9_0)
| xm != xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_50]),c_0_51]),c_0_52])]) ).
fof(c_0_126,plain,
! [X29,X30,X31] :
( ( sdtasdt0(X29,X30) != sdtasdt0(X29,X31)
| X30 = X31
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(X31)
| X29 = sz00
| ~ aNaturalNumber0(X29) )
& ( sdtasdt0(X30,X29) != sdtasdt0(X31,X29)
| X30 = X31
| ~ aNaturalNumber0(X30)
| ~ aNaturalNumber0(X31)
| X29 = sz00
| ~ aNaturalNumber0(X29) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])]) ).
cnf(c_0_127,hypothesis,
sdtasdt0(sz10,sdtsldt0(esk7_0,sz10)) = esk7_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_104]),c_0_39])]),c_0_120]) ).
cnf(c_0_128,hypothesis,
aNaturalNumber0(sdtsldt0(esk7_0,sz10)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_119]),c_0_104]),c_0_39])]),c_0_120]) ).
cnf(c_0_129,hypothesis,
( sdtasdt0(xn,xn) = sz00
| sdtasdt0(xm,xm) != sz00
| ~ sdtlseqdt0(xn,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_64])]) ).
cnf(c_0_130,hypothesis,
( sdtasdt0(xm,xm) != sz00
| xm != xn ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_123]),c_0_64])]),c_0_124]),c_0_125]) ).
cnf(c_0_131,plain,
( X1 = X3
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_132,hypothesis,
sdtsldt0(esk7_0,sz10) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_127]),c_0_128])]) ).
cnf(c_0_133,hypothesis,
sdtasdt0(xm,xm) != sz00,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_79]),c_0_124]),c_0_130]) ).
cnf(c_0_134,plain,
( X1 = sz10
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(sz10,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_104]) ).
cnf(c_0_135,hypothesis,
sdtasdt0(xp,esk7_0) = esk7_0,
inference(rw,[status(thm)],[c_0_38,c_0_84]) ).
cnf(c_0_136,hypothesis,
sdtasdt0(sz10,esk7_0) = esk7_0,
inference(rw,[status(thm)],[c_0_127,c_0_132]) ).
cnf(c_0_137,hypothesis,
esk7_0 != sz00,
inference(rw,[status(thm)],[c_0_133,c_0_55]) ).
cnf(c_0_138,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_39]),c_0_31])]),c_0_93]),c_0_137]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM528+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.31 % Computer : n026.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Fri Aug 25 16:19:18 EDT 2023
% 0.12/0.31 % CPUTime :
% 0.15/0.51 start to proof: theBenchmark
% 0.15/0.88 % Version : CSE_E---1.5
% 0.15/0.88 % Problem : theBenchmark.p
% 0.15/0.88 % Proof found
% 0.15/0.88 % SZS status Theorem for theBenchmark.p
% 0.15/0.88 % SZS output start Proof
% See solution above
% 0.15/0.89 % Total time : 0.363000 s
% 0.15/0.89 % SZS output end Proof
% 0.15/0.89 % Total time : 0.367000 s
%------------------------------------------------------------------------------