TSTP Solution File: NUM502+3 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM502+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:07:26 EDT 2023
% Result : Theorem 7.04s 1.46s
% Output : CNFRefutation 7.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of formulae : 136 ( 41 unt; 0 def)
% Number of atoms : 481 ( 155 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 565 ( 220 ~; 223 |; 100 &)
% ( 1 <=>; 21 =>; 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 : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 144 ( 0 sgn; 64 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',mDefLE) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',mSortsB) ).
fof(mLETotal,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',mLETotal) ).
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/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',m__2362) ).
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/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',m__2342) ).
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/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',mLETran) ).
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/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',m__2287) ).
fof(m__2306,hypothesis,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',m__2306) ).
fof(m__,conjecture,
( xk != xp
& ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xk,X1) = xp )
| sdtlseqdt0(xk,xp) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',m__) ).
fof(mMonMul2,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',mMonMul2) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',mMulComm) ).
fof(m__1837,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',m__1837) ).
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/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',m__1860) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.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/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',mMulAsso) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',mSortsB_02) ).
fof(m__1870,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xn )
| sdtlseqdt0(xp,xn) ),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',m__1870) ).
fof(m__2075,hypothesis,
~ ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xp,X1) = xm )
| sdtlseqdt0(xp,xm) ),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',m__2075) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',mSortsC) ).
fof(m__2315,hypothesis,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',m__2315) ).
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',mLEAsym) ).
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/tmp/tmp.uz4l9ABjKq/E---3.1_17630.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/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p',mMulCanc) ).
fof(c_0_23,plain,
! [X36,X37,X39] :
( ( aNaturalNumber0(esk1_2(X36,X37))
| ~ sdtlseqdt0(X36,X37)
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X37) )
& ( sdtpldt0(X36,esk1_2(X36,X37)) = X37
| ~ sdtlseqdt0(X36,X37)
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X37) )
& ( ~ aNaturalNumber0(X39)
| sdtpldt0(X36,X39) != X37
| sdtlseqdt0(X36,X37)
| ~ aNaturalNumber0(X36)
| ~ aNaturalNumber0(X37) ) ),
inference(distribute,[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_24,plain,
! [X6,X7] :
( ~ aNaturalNumber0(X6)
| ~ aNaturalNumber0(X7)
| aNaturalNumber0(sdtpldt0(X6,X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(c_0_25,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_26,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_28,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_29,hypothesis,
! [X104,X105] :
( aNaturalNumber0(xr)
& aNaturalNumber0(esk12_0)
& xk = sdtasdt0(xr,esk12_0)
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ( ~ aNaturalNumber0(X105)
| xr != sdtasdt0(X104,X105)
| ~ aNaturalNumber0(X104)
| X104 = sz10
| X104 = xr )
& ( ~ doDivides0(X104,xr)
| ~ aNaturalNumber0(X104)
| X104 = sz10
| X104 = xr )
& isPrime0(xr) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2342])])])])]) ).
fof(c_0_30,plain,
! [X46,X47,X48] :
( ~ aNaturalNumber0(X46)
| ~ aNaturalNumber0(X47)
| ~ aNaturalNumber0(X48)
| ~ sdtlseqdt0(X46,X47)
| ~ sdtlseqdt0(X47,X48)
| sdtlseqdt0(X46,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).
fof(c_0_31,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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2287])]) ).
cnf(c_0_32,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,hypothesis,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[m__2306]) ).
fof(c_0_34,negated_conjecture,
~ ( xk != xp
& ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xk,X1) = xp )
| sdtlseqdt0(xk,xp) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_35,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_36,plain,
! [X16,X17] :
( ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X17)
| sdtasdt0(X16,X17) = sdtasdt0(X17,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_37,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_26]),c_0_27]) ).
cnf(c_0_38,hypothesis,
sdtpldt0(xr,esk13_0) = xk,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,hypothesis,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,hypothesis,
aNaturalNumber0(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,plain,
( sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,hypothesis,
sdtlseqdt0(xn,xp),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_44,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_45,hypothesis,
( sdtlseqdt0(xk,X1)
| sdtlseqdt0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_46,hypothesis,
! [X96,X97] :
( xp != sz00
& 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)
& aNaturalNumber0(esk9_0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,esk9_0)
& doDivides0(xp,sdtasdt0(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__1860])])])])]) ).
fof(c_0_47,negated_conjecture,
! [X108] :
( ( ~ aNaturalNumber0(X108)
| sdtpldt0(xk,X108) != xp
| xk = xp )
& ( ~ sdtlseqdt0(xk,xp)
| xk = xp ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
fof(c_0_48,plain,
! [X22] :
( ( sdtasdt0(X22,sz00) = sz00
| ~ aNaturalNumber0(X22) )
& ( sz00 = sdtasdt0(sz00,X22)
| ~ aNaturalNumber0(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
fof(c_0_49,plain,
! [X18,X19,X20] :
( ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X20)
| sdtasdt0(sdtasdt0(X18,X19),X20) = sdtasdt0(X18,sdtasdt0(X19,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(c_0_50,plain,
! [X8,X9] :
( ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X9)
| aNaturalNumber0(sdtasdt0(X8,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
cnf(c_0_51,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_52,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_53,hypothesis,
sdtlseqdt0(xr,xk),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_54,hypothesis,
sdtpldt0(xn,esk10_0) = xp,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_55,hypothesis,
aNaturalNumber0(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_56,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_41,c_0_42]),c_0_43]),c_0_44])]) ).
cnf(c_0_57,hypothesis,
( sdtlseqdt0(xn,xk)
| sdtlseqdt0(xk,xn) ),
inference(spm,[status(thm)],[c_0_45,c_0_44]) ).
fof(c_0_58,hypothesis,
! [X99] :
( ( ~ aNaturalNumber0(X99)
| sdtpldt0(xp,X99) != xn )
& ~ sdtlseqdt0(xp,xn) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1870])])]) ).
cnf(c_0_59,hypothesis,
sdtlseqdt0(xm,xp),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_60,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1837]) ).
fof(c_0_61,hypothesis,
! [X100] :
( ( ~ aNaturalNumber0(X100)
| sdtpldt0(xp,X100) != xm )
& ~ sdtlseqdt0(xp,xm) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2075])])]) ).
cnf(c_0_62,hypothesis,
( X2 = sz10
| X2 = xp
| ~ aNaturalNumber0(X1)
| xp != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_63,hypothesis,
xk = sdtasdt0(xr,esk12_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_64,hypothesis,
aNaturalNumber0(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_65,hypothesis,
xr != sz10,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_66,negated_conjecture,
( xk = xp
| ~ sdtlseqdt0(xk,xp) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_67,hypothesis,
( sdtlseqdt0(xp,xk)
| sdtlseqdt0(xk,xp) ),
inference(spm,[status(thm)],[c_0_45,c_0_43]) ).
cnf(c_0_68,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_69,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_70,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_71,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_72,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_73,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[m__2306]) ).
cnf(c_0_74,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_75,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_41,c_0_53]),c_0_33]),c_0_39])]) ).
cnf(c_0_76,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_26,c_0_54]),c_0_44]),c_0_55])]) ).
cnf(c_0_77,hypothesis,
( sdtlseqdt0(xn,xk)
| sdtlseqdt0(xk,xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_33])]) ).
cnf(c_0_78,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xn ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_79,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_80,hypothesis,
( xk != sz00
& xk != sz10 ),
inference(fof_nnf,[status(thm)],[m__2315]) ).
cnf(c_0_81,hypothesis,
sdtpldt0(xm,esk11_0) = xp,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_82,hypothesis,
aNaturalNumber0(esk11_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_83,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_41,c_0_59]),c_0_43]),c_0_60])]) ).
cnf(c_0_84,hypothesis,
( sdtlseqdt0(xm,xk)
| sdtlseqdt0(xk,xm) ),
inference(spm,[status(thm)],[c_0_45,c_0_60]) ).
cnf(c_0_85,hypothesis,
( ~ aNaturalNumber0(X1)
| sdtpldt0(xp,X1) != xm ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_86,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_62,c_0_63]),c_0_39]),c_0_64])]),c_0_65]) ).
cnf(c_0_87,negated_conjecture,
( xk = xp
| sdtlseqdt0(xp,xk) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_88,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_68,c_0_69]),c_0_70])]),c_0_71]) ).
cnf(c_0_89,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_69,c_0_63]),c_0_64]),c_0_39])]) ).
cnf(c_0_90,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_72,c_0_73]),c_0_33]),c_0_43])]),c_0_74]) ).
cnf(c_0_91,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_73]),c_0_33]),c_0_43])]) ).
cnf(c_0_92,hypothesis,
( sdtlseqdt0(xn,xk)
| xr != xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_44]),c_0_39])]) ).
cnf(c_0_93,negated_conjecture,
( xk = xp
| sdtlseqdt0(xn,xk) ),
inference(spm,[status(thm)],[c_0_66,c_0_77]) ).
cnf(c_0_94,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_78,c_0_79]),c_0_43])]) ).
cnf(c_0_95,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_96,hypothesis,
xk != sz00,
inference(split_conjunct,[status(thm)],[c_0_80]) ).
fof(c_0_97,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])]) ).
fof(c_0_98,plain,
! [X54,X55,X56] :
( ( sdtasdt0(X54,X55) != sdtasdt0(X54,X56)
| X54 = sz00
| X55 = X56
| ~ sdtlseqdt0(X55,X56)
| ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56) )
& ( sdtlseqdt0(sdtasdt0(X54,X55),sdtasdt0(X54,X56))
| X54 = sz00
| X55 = X56
| ~ sdtlseqdt0(X55,X56)
| ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56) )
& ( sdtasdt0(X55,X54) != sdtasdt0(X56,X54)
| X54 = sz00
| X55 = X56
| ~ sdtlseqdt0(X55,X56)
| ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56) )
& ( sdtlseqdt0(sdtasdt0(X55,X54),sdtasdt0(X56,X54))
| X54 = sz00
| X55 = X56
| ~ sdtlseqdt0(X55,X56)
| ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X55)
| ~ aNaturalNumber0(X56) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul])])]) ).
fof(c_0_99,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_100,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_26,c_0_81]),c_0_60]),c_0_82])]) ).
cnf(c_0_101,hypothesis,
( sdtlseqdt0(xm,xk)
| sdtlseqdt0(xk,xp) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_33])]) ).
cnf(c_0_102,hypothesis,
( X1 != xm
| ~ sdtlseqdt0(xp,X1)
| ~ aNaturalNumber0(esk1_2(xp,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_79]),c_0_43])]) ).
cnf(c_0_103,hypothesis,
sdtlseqdt0(xp,xk),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_86]),c_0_87]) ).
cnf(c_0_104,hypothesis,
( sdtlseqdt0(xp,X1)
| sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_43]) ).
cnf(c_0_105,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_106,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_88,c_0_89]),c_0_64]),c_0_39]),c_0_70])]) ).
cnf(c_0_107,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_41,c_0_90]),c_0_91]),c_0_33])]) ).
cnf(c_0_108,hypothesis,
sdtlseqdt0(xn,xk),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_86]),c_0_93]) ).
cnf(c_0_109,hypothesis,
( X1 != xn
| ~ sdtlseqdt0(xp,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_43])]) ).
cnf(c_0_110,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_51,c_0_73]),c_0_43]),c_0_33])]),c_0_96]) ).
cnf(c_0_111,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_112,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_98]) ).
cnf(c_0_113,plain,
( X2 = X3
| X1 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_114,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_98]) ).
cnf(c_0_115,hypothesis,
( sdtlseqdt0(xm,xk)
| xr != xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_100]),c_0_60]),c_0_39])]) ).
cnf(c_0_116,negated_conjecture,
( xk = xp
| sdtlseqdt0(xm,xk) ),
inference(spm,[status(thm)],[c_0_66,c_0_101]) ).
cnf(c_0_117,hypothesis,
( X1 != xm
| ~ sdtlseqdt0(xp,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_95]),c_0_43])]) ).
cnf(c_0_118,hypothesis,
( sdtlseqdt0(X1,xk)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_103]),c_0_33]),c_0_43])]) ).
cnf(c_0_119,hypothesis,
sdtlseqdt0(xp,xp),
inference(spm,[status(thm)],[c_0_104,c_0_43]) ).
cnf(c_0_120,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_69,c_0_105]),c_0_70])]) ).
cnf(c_0_121,hypothesis,
sdtasdt0(sz00,xk) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_106]),c_0_70]),c_0_33])]) ).
cnf(c_0_122,hypothesis,
sdtlseqdt0(xn,sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_44])]) ).
cnf(c_0_123,hypothesis,
sdtasdt0(xn,xm) != xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_91])]) ).
cnf(c_0_124,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_111,c_0_112]),c_0_71]),c_0_71]),c_0_113]) ).
cnf(c_0_125,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_114,c_0_73]),c_0_43]),c_0_33])]),c_0_96]) ).
cnf(c_0_126,hypothesis,
sdtlseqdt0(xm,xk),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_86]),c_0_116]) ).
cnf(c_0_127,hypothesis,
xk != xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_33]),c_0_119]),c_0_43])]) ).
cnf(c_0_128,hypothesis,
xn != xp,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_129,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_120,c_0_73]),c_0_121]),c_0_33]),c_0_43])]) ).
cnf(c_0_130,plain,
( sdtlseqdt0(sz00,X1)
| sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_70]) ).
cnf(c_0_131,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_111,c_0_122]),c_0_44]),c_0_91])]),c_0_123]) ).
cnf(c_0_132,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_124,c_0_125]),c_0_126]),c_0_33]),c_0_60]),c_0_44]),c_0_42])]),c_0_127]),c_0_128]) ).
cnf(c_0_133,hypothesis,
sdtasdt0(sz00,xm) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_129]),c_0_60]),c_0_44])]) ).
cnf(c_0_134,plain,
sdtlseqdt0(sz00,sz00),
inference(spm,[status(thm)],[c_0_130,c_0_70]) ).
cnf(c_0_135,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_132]),c_0_133]),c_0_132]),c_0_134])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : NUM502+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.15 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 2400
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Oct 2 13:58:19 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.52 Running first-order model finding
% 0.22/0.52 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.uz4l9ABjKq/E---3.1_17630.p
% 7.04/1.46 # Version: 3.1pre001
% 7.04/1.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.04/1.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.04/1.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.04/1.46 # Starting new_bool_3 with 300s (1) cores
% 7.04/1.46 # Starting new_bool_1 with 300s (1) cores
% 7.04/1.46 # Starting sh5l with 300s (1) cores
% 7.04/1.46 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 17707 completed with status 0
% 7.04/1.46 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 7.04/1.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.04/1.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.04/1.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.04/1.46 # No SInE strategy applied
% 7.04/1.46 # Search class: FGHSF-FSLM32-SFFFFFNN
% 7.04/1.46 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 7.04/1.46 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 7.04/1.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 7.04/1.46 # Starting new_bool_3 with 136s (1) cores
% 7.04/1.46 # Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 7.04/1.46 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 136s (1) cores
% 7.04/1.46 # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 17718 completed with status 0
% 7.04/1.46 # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 7.04/1.46 # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.04/1.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.04/1.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.04/1.46 # No SInE strategy applied
% 7.04/1.46 # Search class: FGHSF-FSLM32-SFFFFFNN
% 7.04/1.46 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 7.04/1.46 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 811s (1) cores
% 7.04/1.46 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 7.04/1.46 # Starting new_bool_3 with 136s (1) cores
% 7.04/1.46 # Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 7.04/1.46 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 136s (1) cores
% 7.04/1.46 # Preprocessing time : 0.004 s
% 7.04/1.46
% 7.04/1.46 # Proof found!
% 7.04/1.46 # SZS status Theorem
% 7.04/1.46 # SZS output start CNFRefutation
% See solution above
% 7.04/1.46 # Parsed axioms : 50
% 7.04/1.46 # Removed by relevancy pruning/SinE : 0
% 7.04/1.46 # Initial clauses : 242
% 7.04/1.46 # Removed in clause preprocessing : 3
% 7.04/1.46 # Initial clauses in saturation : 239
% 7.04/1.46 # Processed clauses : 4305
% 7.04/1.46 # ...of these trivial : 242
% 7.04/1.46 # ...subsumed : 2341
% 7.04/1.46 # ...remaining for further processing : 1722
% 7.04/1.46 # Other redundant clauses eliminated : 0
% 7.04/1.46 # Clauses deleted for lack of memory : 0
% 7.04/1.46 # Backward-subsumed : 106
% 7.04/1.46 # Backward-rewritten : 472
% 7.04/1.46 # Generated clauses : 54111
% 7.04/1.46 # ...of the previous two non-redundant : 48413
% 7.04/1.46 # ...aggressively subsumed : 0
% 7.04/1.46 # Contextual simplify-reflections : 194
% 7.04/1.46 # Paramodulations : 53972
% 7.04/1.46 # Factorizations : 3
% 7.04/1.46 # NegExts : 0
% 7.04/1.46 # Equation resolutions : 132
% 7.04/1.46 # Total rewrite steps : 48149
% 7.04/1.46 # Propositional unsat checks : 0
% 7.04/1.46 # Propositional check models : 0
% 7.04/1.46 # Propositional check unsatisfiable : 0
% 7.04/1.46 # Propositional clauses : 0
% 7.04/1.46 # Propositional clauses after purity: 0
% 7.04/1.46 # Propositional unsat core size : 0
% 7.04/1.46 # Propositional preprocessing time : 0.000
% 7.04/1.46 # Propositional encoding time : 0.000
% 7.04/1.46 # Propositional solver time : 0.000
% 7.04/1.46 # Success case prop preproc time : 0.000
% 7.04/1.46 # Success case prop encoding time : 0.000
% 7.04/1.46 # Success case prop solver time : 0.000
% 7.04/1.46 # Current number of processed clauses : 1140
% 7.04/1.46 # Positive orientable unit clauses : 270
% 7.04/1.46 # Positive unorientable unit clauses: 0
% 7.04/1.46 # Negative unit clauses : 50
% 7.04/1.46 # Non-unit-clauses : 820
% 7.04/1.46 # Current number of unprocessed clauses: 44173
% 7.04/1.46 # ...number of literals in the above : 340568
% 7.04/1.46 # Current number of archived formulas : 0
% 7.04/1.46 # Current number of archived clauses : 582
% 7.04/1.46 # Clause-clause subsumption calls (NU) : 288221
% 7.04/1.46 # Rec. Clause-clause subsumption calls : 99677
% 7.04/1.46 # Non-unit clause-clause subsumptions : 1653
% 7.04/1.46 # Unit Clause-clause subsumption calls : 35411
% 7.04/1.46 # Rewrite failures with RHS unbound : 0
% 7.04/1.46 # BW rewrite match attempts : 212
% 7.04/1.46 # BW rewrite match successes : 59
% 7.04/1.46 # Condensation attempts : 4305
% 7.04/1.46 # Condensation successes : 13
% 7.04/1.46 # Termbank termtop insertions : 1262171
% 7.04/1.46
% 7.04/1.46 # -------------------------------------------------
% 7.04/1.46 # User time : 0.810 s
% 7.04/1.46 # System time : 0.037 s
% 7.04/1.46 # Total time : 0.847 s
% 7.04/1.46 # Maximum resident set size: 2400 pages
% 7.04/1.46
% 7.04/1.46 # -------------------------------------------------
% 7.04/1.46 # User time : 4.141 s
% 7.04/1.46 # System time : 0.121 s
% 7.04/1.46 # Total time : 4.262 s
% 7.04/1.46 # Maximum resident set size: 1752 pages
% 7.04/1.46 % E---3.1 exiting
%------------------------------------------------------------------------------