TSTP Solution File: NUM503+3 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM503+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 01:14:21 EDT 2024
% Result : ContradictoryAxioms 6.13s 1.27s
% Output : CNFRefutation 6.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 138 ( 44 unt; 0 def)
% Number of atoms : 517 ( 174 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 596 ( 217 ~; 212 |; 134 &)
% ( 1 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-2 aty)
% Number of variables : 156 ( 0 sgn 75 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
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(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(m__2342,hypothesis,
( aNaturalNumber0(xr)
& ? [X1] :
( aNaturalNumber0(X1)
& xk = sdtasdt0(xr,X1) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xr = sdtasdt0(X1,X2) )
| doDivides0(X1,xr) ) )
=> ( X1 = sz10
| X1 = xr ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(m__2287,hypothesis,
( xn != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xn,X1) = xp )
& sdtlseqdt0(xn,xp)
& xm != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xp )
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).
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__2362,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xr,X1) = xk )
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X1) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2362) ).
fof(mLETran,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).
fof(m__2306,hypothesis,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
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__1860,hypothesis,
( xp != sz00
& xp != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xp = sdtasdt0(X1,X2) )
| doDivides0(X1,xp) ) )
=> ( X1 = sz10
| X1 = xp ) )
& isPrime0(xp)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
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(m__2389,hypothesis,
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xk )
& sdtlseqdt0(xp,xk) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2389) ).
fof(m__1870,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xn )
| sdtlseqdt0(xp,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(m__2315,hypothesis,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2315) ).
fof(mMonMul,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( X1 != sz00
& X2 != X3
& sdtlseqdt0(X2,X3) )
=> ( sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(X2,X1) != sdtasdt0(X3,X1)
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
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(m__2075,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xm )
| sdtlseqdt0(xp,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2075) ).
fof(c_0_23,plain,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[mLETotal]) ).
fof(c_0_24,plain,
! [X37,X38,X40] :
( ( aNaturalNumber0(esk1_2(X37,X38))
| ~ sdtlseqdt0(X37,X38)
| ~ aNaturalNumber0(X37)
| ~ aNaturalNumber0(X38) )
& ( sdtpldt0(X37,esk1_2(X37,X38)) = X38
| ~ sdtlseqdt0(X37,X38)
| ~ aNaturalNumber0(X37)
| ~ aNaturalNumber0(X38) )
& ( ~ aNaturalNumber0(X40)
| sdtpldt0(X37,X40) != X38
| sdtlseqdt0(X37,X38)
| ~ aNaturalNumber0(X37)
| ~ aNaturalNumber0(X38) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefLE])])])])])]) ).
fof(c_0_25,plain,
! [X7,X8] :
( ~ aNaturalNumber0(X7)
| ~ aNaturalNumber0(X8)
| aNaturalNumber0(sdtpldt0(X7,X8)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])])]) ).
fof(c_0_26,hypothesis,
( aNaturalNumber0(xr)
& ? [X1] :
( aNaturalNumber0(X1)
& xk = sdtasdt0(xr,X1) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xr = sdtasdt0(X1,X2) )
| doDivides0(X1,xr) ) )
=> ( X1 = sz10
| X1 = xr ) )
& isPrime0(xr) ),
inference(fof_simplification,[status(thm)],[m__2342]) ).
fof(c_0_27,hypothesis,
( xn != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xn,X1) = xp )
& sdtlseqdt0(xn,xp)
& xm != xp
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xp )
& sdtlseqdt0(xm,xp) ),
inference(fof_simplification,[status(thm)],[m__2287]) ).
fof(c_0_28,plain,
! [X50,X51] :
( ( X51 != X50
| sdtlseqdt0(X50,X51)
| ~ aNaturalNumber0(X50)
| ~ aNaturalNumber0(X51) )
& ( sdtlseqdt0(X51,X50)
| sdtlseqdt0(X50,X51)
| ~ aNaturalNumber0(X50)
| ~ aNaturalNumber0(X51) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_29,plain,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
inference(fof_simplification,[status(thm)],[mMonMul2]) ).
cnf(c_0_30,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_32,hypothesis,
( aNaturalNumber0(esk13_0)
& sdtpldt0(xr,esk13_0) = xk
& aNaturalNumber0(esk14_0)
& sdtasdt0(xn,xm) = sdtasdt0(xr,esk14_0)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2362])]) ).
fof(c_0_33,hypothesis,
! [X107,X108] :
( aNaturalNumber0(xr)
& aNaturalNumber0(esk12_0)
& xk = sdtasdt0(xr,esk12_0)
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ( ~ aNaturalNumber0(X108)
| xr != sdtasdt0(X107,X108)
| ~ aNaturalNumber0(X107)
| X107 = sz10
| X107 = xr )
& ( ~ doDivides0(X107,xr)
| ~ aNaturalNumber0(X107)
| X107 = sz10
| X107 = xr )
& isPrime0(xr) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])])]) ).
fof(c_0_34,plain,
! [X47,X48,X49] :
( ~ aNaturalNumber0(X47)
| ~ aNaturalNumber0(X48)
| ~ aNaturalNumber0(X49)
| ~ sdtlseqdt0(X47,X48)
| ~ sdtlseqdt0(X48,X49)
| sdtlseqdt0(X47,X49) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])])]) ).
fof(c_0_35,hypothesis,
( xn != xp
& aNaturalNumber0(esk10_0)
& sdtpldt0(xn,esk10_0) = xp
& sdtlseqdt0(xn,xp)
& xm != xp
& aNaturalNumber0(esk11_0)
& sdtpldt0(xm,esk11_0) = xp
& sdtlseqdt0(xm,xp) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_27])])]) ).
cnf(c_0_36,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__2306]) ).
fof(c_0_38,plain,
! [X59,X60] :
( ~ aNaturalNumber0(X59)
| ~ aNaturalNumber0(X60)
| X59 = sz00
| sdtlseqdt0(X60,sdtasdt0(X60,X59)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
fof(c_0_39,plain,
! [X17,X18] :
( ~ aNaturalNumber0(X17)
| ~ aNaturalNumber0(X18)
| sdtasdt0(X17,X18) = sdtasdt0(X18,X17) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])])]) ).
fof(c_0_40,hypothesis,
( xp != sz00
& xp != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& xp = sdtasdt0(X1,X2) )
| doDivides0(X1,xp) ) )
=> ( X1 = sz10
| X1 = xp ) )
& isPrime0(xp)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X1) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(fof_simplification,[status(thm)],[m__1860]) ).
cnf(c_0_41,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_30]),c_0_31]) ).
cnf(c_0_42,hypothesis,
sdtpldt0(xr,esk13_0) = xk,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,hypothesis,
aNaturalNumber0(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45,plain,
( sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,hypothesis,
sdtlseqdt0(xn,xp),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_47,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_48,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_49,hypothesis,
( sdtlseqdt0(xk,X1)
| sdtlseqdt0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_50,plain,
! [X23] :
( ( sdtasdt0(X23,sz00) = sz00
| ~ aNaturalNumber0(X23) )
& ( sz00 = sdtasdt0(sz00,X23)
| ~ aNaturalNumber0(X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])])]) ).
fof(c_0_51,plain,
! [X19,X20,X21] :
( ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(X21)
| sdtasdt0(sdtasdt0(X19,X20),X21) = sdtasdt0(X19,sdtasdt0(X20,X21)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])])]) ).
fof(c_0_52,plain,
! [X9,X10] :
( ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X10)
| aNaturalNumber0(sdtasdt0(X9,X10)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])])]) ).
cnf(c_0_53,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_54,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_55,hypothesis,
! [X99,X100] :
( xp != sz00
& xp != sz10
& ( ~ aNaturalNumber0(X100)
| xp != sdtasdt0(X99,X100)
| ~ aNaturalNumber0(X99)
| X99 = sz10
| X99 = xp )
& ( ~ doDivides0(X99,xp)
| ~ aNaturalNumber0(X99)
| X99 = sz10
| X99 = xp )
& isPrime0(xp)
& aNaturalNumber0(esk9_0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])])]) ).
cnf(c_0_56,hypothesis,
sdtlseqdt0(xr,xk),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44])]) ).
cnf(c_0_57,hypothesis,
sdtpldt0(xn,esk10_0) = xp,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_58,hypothesis,
aNaturalNumber0(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_59,plain,
! [X45,X46] :
( ~ aNaturalNumber0(X45)
| ~ aNaturalNumber0(X46)
| ~ sdtlseqdt0(X45,X46)
| ~ sdtlseqdt0(X46,X45)
| X45 = X46 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])])]) ).
cnf(c_0_60,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_61,hypothesis,
( sdtlseqdt0(xn,xk)
| sdtlseqdt0(xk,xn) ),
inference(spm,[status(thm)],[c_0_49,c_0_48]) ).
fof(c_0_62,hypothesis,
( aNaturalNumber0(esk15_0)
& sdtpldt0(xp,esk15_0) = xk
& sdtlseqdt0(xp,xk) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2389])]) ).
fof(c_0_63,hypothesis,
! [X102] :
( ( ~ aNaturalNumber0(X102)
| sdtpldt0(xp,X102) != xn )
& ~ sdtlseqdt0(xp,xn) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1870])])])]) ).
cnf(c_0_64,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_65,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_66,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_67,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_68,hypothesis,
xk = sdtasdt0(xr,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_69,hypothesis,
aNaturalNumber0(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_70,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_71,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[m__2306]) ).
cnf(c_0_72,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_73,hypothesis,
( sdtlseqdt0(X1,xk)
| ~ sdtlseqdt0(X1,xr)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_56]),c_0_37]),c_0_43])]) ).
cnf(c_0_74,hypothesis,
( sdtlseqdt0(xn,X1)
| xp != X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_57]),c_0_48]),c_0_58])]) ).
cnf(c_0_75,hypothesis,
( X2 = sz10
| X2 = xp
| ~ aNaturalNumber0(X1)
| xp != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_76,hypothesis,
xr != sz10,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_77,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_78,hypothesis,
( sdtlseqdt0(xn,xk)
| sdtlseqdt0(xk,xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_37])]) ).
cnf(c_0_79,hypothesis,
sdtlseqdt0(xp,xk),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_80,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xn ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_81,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_82,hypothesis,
( xk != sz00
& xk != sz10 ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2315])]) ).
cnf(c_0_83,hypothesis,
sdtlseqdt0(xm,xp),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_84,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_85,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]),c_0_67]) ).
cnf(c_0_86,hypothesis,
( sdtasdt0(xr,sdtasdt0(esk12_0,X1)) = sdtasdt0(xk,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_68]),c_0_69]),c_0_43])]) ).
cnf(c_0_87,hypothesis,
sdtlseqdt0(xk,sdtasdt0(xn,xm)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_37]),c_0_47])]),c_0_72]) ).
cnf(c_0_88,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_71]),c_0_37]),c_0_47])]) ).
cnf(c_0_89,hypothesis,
( sdtlseqdt0(xn,xk)
| xr != xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_48]),c_0_43])]) ).
cnf(c_0_90,hypothesis,
( xr = xp
| xk != xp ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_68]),c_0_43]),c_0_69])]),c_0_76]) ).
cnf(c_0_91,hypothesis,
( xk = xp
| sdtlseqdt0(xn,xk) ),
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_78]),c_0_79]),c_0_37]),c_0_47])]) ).
cnf(c_0_92,hypothesis,
( X1 != xn
| ~ sdtlseqdt0(xp,X1)
| ~ aNaturalNumber0(esk1_2(xp,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_47])]) ).
cnf(c_0_93,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_94,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_95,plain,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( X1 != sz00
& X2 != X3
& sdtlseqdt0(X2,X3) )
=> ( sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(X2,X1) != sdtasdt0(X3,X1)
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ) ),
inference(fof_simplification,[status(thm)],[mMonMul]) ).
fof(c_0_96,plain,
! [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 ) ) ) ),
inference(fof_simplification,[status(thm)],[mMulCanc]) ).
cnf(c_0_97,hypothesis,
sdtpldt0(xm,esk11_0) = xp,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_98,hypothesis,
aNaturalNumber0(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_99,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_83]),c_0_47]),c_0_84])]) ).
cnf(c_0_100,hypothesis,
( sdtlseqdt0(xm,xk)
| sdtlseqdt0(xk,xm) ),
inference(spm,[status(thm)],[c_0_49,c_0_84]) ).
cnf(c_0_101,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_102,hypothesis,
sdtasdt0(xk,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_69]),c_0_43]),c_0_66])]) ).
cnf(c_0_103,hypothesis,
( sdtlseqdt0(X1,sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_87]),c_0_88]),c_0_37])]) ).
cnf(c_0_104,hypothesis,
sdtlseqdt0(xn,xk),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_105,hypothesis,
( X1 != xn
| ~ sdtlseqdt0(xp,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_47])]) ).
cnf(c_0_106,hypothesis,
sdtlseqdt0(xp,sdtasdt0(xn,xm)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_71]),c_0_47]),c_0_37])]),c_0_94]) ).
fof(c_0_107,plain,
! [X55,X56,X57] :
( ( sdtasdt0(X55,X56) != sdtasdt0(X55,X57)
| X55 = sz00
| X56 = X57
| ~ sdtlseqdt0(X56,X57)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56)
| ~ aNaturalNumber0(X57) )
& ( sdtlseqdt0(sdtasdt0(X55,X56),sdtasdt0(X55,X57))
| X55 = sz00
| X56 = X57
| ~ sdtlseqdt0(X56,X57)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56)
| ~ aNaturalNumber0(X57) )
& ( sdtasdt0(X56,X55) != sdtasdt0(X57,X55)
| X55 = sz00
| X56 = X57
| ~ sdtlseqdt0(X56,X57)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56)
| ~ aNaturalNumber0(X57) )
& ( sdtlseqdt0(sdtasdt0(X56,X55),sdtasdt0(X57,X55))
| X55 = sz00
| X56 = X57
| ~ sdtlseqdt0(X56,X57)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56)
| ~ aNaturalNumber0(X57) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])])]) ).
fof(c_0_108,plain,
! [X30,X31,X32] :
( ( sdtasdt0(X30,X31) != sdtasdt0(X30,X32)
| X31 = X32
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(X32)
| X30 = sz00
| ~ aNaturalNumber0(X30) )
& ( sdtasdt0(X31,X30) != sdtasdt0(X32,X30)
| X31 = X32
| ~ aNaturalNumber0(X31)
| ~ aNaturalNumber0(X32)
| X30 = sz00
| ~ aNaturalNumber0(X30) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])])])])]) ).
cnf(c_0_109,hypothesis,
( sdtlseqdt0(xm,X1)
| xp != X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_97]),c_0_84]),c_0_98])]) ).
cnf(c_0_110,hypothesis,
( sdtlseqdt0(xm,xk)
| sdtlseqdt0(xk,xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_37])]) ).
fof(c_0_111,hypothesis,
! [X103] :
( ( ~ aNaturalNumber0(X103)
| sdtpldt0(xp,X103) != xm )
& ~ sdtlseqdt0(xp,xm) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2075])])])]) ).
cnf(c_0_112,plain,
( sdtasdt0(sz00,sdtasdt0(X1,X2)) = sdtasdt0(sz00,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_101]),c_0_66])]) ).
cnf(c_0_113,hypothesis,
sdtasdt0(sz00,xk) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_102]),c_0_66]),c_0_37])]) ).
cnf(c_0_114,hypothesis,
sdtlseqdt0(xn,sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_48])]) ).
cnf(c_0_115,hypothesis,
sdtasdt0(xn,xm) != xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_88])]) ).
cnf(c_0_116,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| X1 = sz00
| X2 = X3
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_117,plain,
( X2 = X3
| X1 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_118,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))
| X2 = sz00
| X1 = X3
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_119,hypothesis,
( sdtlseqdt0(xm,xk)
| xr != xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_109]),c_0_84]),c_0_43])]) ).
cnf(c_0_120,hypothesis,
( xk = xp
| sdtlseqdt0(xm,xk) ),
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_110]),c_0_79]),c_0_37]),c_0_47])]) ).
cnf(c_0_121,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xm ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_122,hypothesis,
sdtpldt0(xp,esk15_0) = xk,
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_123,hypothesis,
aNaturalNumber0(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_124,hypothesis,
sdtasdt0(sz00,sdtasdt0(xn,xm)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_71]),c_0_113]),c_0_37]),c_0_47])]) ).
cnf(c_0_125,hypothesis,
~ sdtlseqdt0(sdtasdt0(xn,xm),xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_114]),c_0_48]),c_0_88])]),c_0_115]) ).
cnf(c_0_126,plain,
( X1 = sz00
| X2 = X3
| ~ sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_116]),c_0_67]),c_0_67]),c_0_117]) ).
cnf(c_0_127,hypothesis,
( X1 = xp
| sdtlseqdt0(sdtasdt0(X1,xk),sdtasdt0(xn,xm))
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
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_71]),c_0_47]),c_0_37])]),c_0_94]) ).
cnf(c_0_128,hypothesis,
sdtlseqdt0(xm,xk),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_90]),c_0_120]) ).
cnf(c_0_129,hypothesis,
xk != xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).
cnf(c_0_130,hypothesis,
xn != xp,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_131,hypothesis,
sdtasdt0(sz00,xm) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_124]),c_0_84]),c_0_48])]) ).
cnf(c_0_132,plain,
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_66]) ).
cnf(c_0_133,hypothesis,
~ sdtlseqdt0(sdtasdt0(xm,xn),xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_54]),c_0_84]),c_0_48])]) ).
cnf(c_0_134,hypothesis,
xn = sz00,
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]),c_0_37]),c_0_84]),c_0_48]),c_0_46])]),c_0_129]),c_0_130]) ).
cnf(c_0_135,hypothesis,
sdtasdt0(xm,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_131]),c_0_84]),c_0_66])]) ).
cnf(c_0_136,plain,
sdtlseqdt0(sz00,sz00),
inference(spm,[status(thm)],[c_0_132,c_0_66]) ).
cnf(c_0_137,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_134]),c_0_135]),c_0_134]),c_0_136])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM503+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 04:40:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.13/1.27 # Version: 3.1.0
% 6.13/1.27 # Preprocessing class: FSLSSMSSSSSNFFN.
% 6.13/1.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.13/1.27 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.13/1.27 # Starting new_bool_3 with 300s (1) cores
% 6.13/1.27 # Starting new_bool_1 with 300s (1) cores
% 6.13/1.27 # Starting sh5l with 300s (1) cores
% 6.13/1.27 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 5460 completed with status 0
% 6.13/1.27 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 6.13/1.27 # Preprocessing class: FSLSSMSSSSSNFFN.
% 6.13/1.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.13/1.27 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.13/1.27 # No SInE strategy applied
% 6.13/1.27 # Search class: FGHSF-FSLM32-SFFFFFNN
% 6.13/1.27 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.13/1.27 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 6.13/1.27 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.13/1.27 # Starting new_bool_3 with 136s (1) cores
% 6.13/1.27 # Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 6.13/1.27 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 136s (1) cores
% 6.13/1.27 # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 5470 completed with status 0
% 6.13/1.27 # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 6.13/1.27 # Preprocessing class: FSLSSMSSSSSNFFN.
% 6.13/1.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.13/1.27 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.13/1.27 # No SInE strategy applied
% 6.13/1.27 # Search class: FGHSF-FSLM32-SFFFFFNN
% 6.13/1.27 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.13/1.27 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 6.13/1.27 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.13/1.27 # Starting new_bool_3 with 136s (1) cores
% 6.13/1.27 # Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 6.13/1.27 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 136s (1) cores
% 6.13/1.27 # Preprocessing time : 0.004 s
% 6.13/1.27
% 6.13/1.27 # Proof found!
% 6.13/1.27 # SZS status ContradictoryAxioms
% 6.13/1.27 # SZS output start CNFRefutation
% See solution above
% 6.13/1.27 # Parsed axioms : 51
% 6.13/1.27 # Removed by relevancy pruning/SinE : 0
% 6.13/1.27 # Initial clauses : 247
% 6.13/1.27 # Removed in clause preprocessing : 3
% 6.13/1.27 # Initial clauses in saturation : 244
% 6.13/1.27 # Processed clauses : 4473
% 6.13/1.27 # ...of these trivial : 308
% 6.13/1.27 # ...subsumed : 2331
% 6.13/1.27 # ...remaining for further processing : 1834
% 6.13/1.27 # Other redundant clauses eliminated : 0
% 6.13/1.27 # Clauses deleted for lack of memory : 0
% 6.13/1.27 # Backward-subsumed : 139
% 6.13/1.27 # Backward-rewritten : 498
% 6.13/1.27 # Generated clauses : 54902
% 6.13/1.27 # ...of the previous two non-redundant : 49092
% 6.13/1.27 # ...aggressively subsumed : 0
% 6.13/1.27 # Contextual simplify-reflections : 200
% 6.13/1.27 # Paramodulations : 54762
% 6.13/1.27 # Factorizations : 3
% 6.13/1.27 # NegExts : 0
% 6.13/1.27 # Equation resolutions : 129
% 6.13/1.27 # Disequality decompositions : 0
% 6.13/1.27 # Total rewrite steps : 48616
% 6.13/1.27 # ...of those cached : 48264
% 6.13/1.27 # Propositional unsat checks : 0
% 6.13/1.27 # Propositional check models : 0
% 6.13/1.27 # Propositional check unsatisfiable : 0
% 6.13/1.27 # Propositional clauses : 0
% 6.13/1.27 # Propositional clauses after purity: 0
% 6.13/1.27 # Propositional unsat core size : 0
% 6.13/1.27 # Propositional preprocessing time : 0.000
% 6.13/1.27 # Propositional encoding time : 0.000
% 6.13/1.27 # Propositional solver time : 0.000
% 6.13/1.27 # Success case prop preproc time : 0.000
% 6.13/1.27 # Success case prop encoding time : 0.000
% 6.13/1.27 # Success case prop solver time : 0.000
% 6.13/1.27 # Current number of processed clauses : 1191
% 6.13/1.27 # Positive orientable unit clauses : 295
% 6.13/1.27 # Positive unorientable unit clauses: 0
% 6.13/1.27 # Negative unit clauses : 63
% 6.13/1.27 # Non-unit-clauses : 833
% 6.13/1.27 # Current number of unprocessed clauses: 44662
% 6.13/1.27 # ...number of literals in the above : 338247
% 6.13/1.27 # Current number of archived formulas : 0
% 6.13/1.27 # Current number of archived clauses : 642
% 6.13/1.27 # Clause-clause subsumption calls (NU) : 305762
% 6.13/1.27 # Rec. Clause-clause subsumption calls : 103785
% 6.13/1.27 # Non-unit clause-clause subsumptions : 1566
% 6.13/1.27 # Unit Clause-clause subsumption calls : 40515
% 6.13/1.27 # Rewrite failures with RHS unbound : 0
% 6.13/1.27 # BW rewrite match attempts : 258
% 6.13/1.27 # BW rewrite match successes : 60
% 6.13/1.27 # Condensation attempts : 4473
% 6.13/1.27 # Condensation successes : 13
% 6.13/1.27 # Termbank termtop insertions : 1263079
% 6.13/1.27 # Search garbage collected termcells : 2480
% 6.13/1.27
% 6.13/1.27 # -------------------------------------------------
% 6.13/1.27 # User time : 0.726 s
% 6.13/1.27 # System time : 0.029 s
% 6.13/1.27 # Total time : 0.755 s
% 6.13/1.27 # Maximum resident set size: 2396 pages
% 6.13/1.27
% 6.13/1.27 # -------------------------------------------------
% 6.13/1.27 # User time : 3.617 s
% 6.13/1.27 # System time : 0.094 s
% 6.13/1.27 # Total time : 3.711 s
% 6.13/1.27 # Maximum resident set size: 1760 pages
% 6.13/1.27 % E---3.1 exiting
% 6.13/1.27 % E exiting
%------------------------------------------------------------------------------