TSTP Solution File: NUM526+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM526+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 18:56:11 EDT 2023
% Result : Theorem 5.50s 1.30s
% Output : CNFRefutation 5.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 22
% Syntax : Number of formulae : 134 ( 52 unt; 0 def)
% Number of atoms : 472 ( 163 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 562 ( 224 ~; 254 |; 57 &)
% ( 3 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 142 ( 0 sgn; 67 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.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/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',mDefQuot) ).
fof(m__3082,hypothesis,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',m__3082) ).
fof(m__2987,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',m__2987) ).
fof(mMonMul2,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( X1 != sz00
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',mMonMul2) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',mMulComm) ).
fof(m__3046,hypothesis,
( doDivides0(xp,sdtasdt0(xn,xn))
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',m__3046) ).
fof(m__3059,hypothesis,
xq = sdtsldt0(xn,xp),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',m__3059) ).
fof(m__,conjecture,
( xm != xn
& sdtlseqdt0(xm,xn) ),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',m__) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',mDefDiv) ).
fof(m__3014,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',m__3014) ).
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.CYgd62vLVE/E---3.1_12199.p',mMulAsso) ).
fof(mLETotal,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',mLETotal) ).
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.CYgd62vLVE/E---3.1_12199.p',mLETran) ).
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.CYgd62vLVE/E---3.1_12199.p',mMonMul) ).
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/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',mDivTrans) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',m_MulUnit) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',mSortsC_01) ).
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',mLEAsym) ).
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.CYgd62vLVE/E---3.1_12199.p',mMulCanc) ).
fof(mDefPrime,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( isPrime0(X1)
<=> ( X1 != sz00
& X1 != sz10
& ! [X2] :
( ( aNaturalNumber0(X2)
& doDivides0(X2,X1) )
=> ( X2 = sz10
| X2 = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',mDefPrime) ).
fof(m__3025,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox2/tmp/tmp.CYgd62vLVE/E---3.1_12199.p',m__3025) ).
fof(c_0_22,plain,
! [X54,X55] :
( ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X55)
| aNaturalNumber0(sdtasdt0(X54,X55)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(c_0_23,plain,
! [X83,X84,X85] :
( ( aNaturalNumber0(X85)
| X85 != sdtsldt0(X84,X83)
| X83 = sz00
| ~ doDivides0(X83,X84)
| ~ aNaturalNumber0(X83)
| ~ aNaturalNumber0(X84) )
& ( X84 = sdtasdt0(X83,X85)
| X85 != sdtsldt0(X84,X83)
| X83 = sz00
| ~ doDivides0(X83,X84)
| ~ aNaturalNumber0(X83)
| ~ aNaturalNumber0(X84) )
& ( ~ aNaturalNumber0(X85)
| X84 != sdtasdt0(X83,X85)
| X85 = sdtsldt0(X84,X83)
| X83 = sz00
| ~ doDivides0(X83,X84)
| ~ aNaturalNumber0(X83)
| ~ aNaturalNumber0(X84) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).
cnf(c_0_24,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,hypothesis,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(split_conjunct,[status(thm)],[m__3082]) ).
cnf(c_0_26,hypothesis,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_27,plain,
( aNaturalNumber0(X1)
| X3 = sz00
| X1 != sdtsldt0(X2,X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_28,plain,
! [X23,X24] :
( ~ aNaturalNumber0(X23)
| ~ aNaturalNumber0(X24)
| X23 = sz00
| sdtlseqdt0(X24,sdtasdt0(X24,X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).
fof(c_0_29,plain,
! [X56,X57] :
( ~ aNaturalNumber0(X56)
| ~ aNaturalNumber0(X57)
| sdtasdt0(X56,X57) = sdtasdt0(X57,X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_30,hypothesis,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_31,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_32,hypothesis,
doDivides0(xp,xn),
inference(split_conjunct,[status(thm)],[m__3046]) ).
cnf(c_0_33,hypothesis,
xq = sdtsldt0(xn,xp),
inference(split_conjunct,[status(thm)],[m__3059]) ).
cnf(c_0_34,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_35,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_36,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_23]) ).
fof(c_0_37,negated_conjecture,
~ ( xm != xn
& sdtlseqdt0(xm,xn) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_38,plain,
! [X67,X68,X70] :
( ( aNaturalNumber0(esk2_2(X67,X68))
| ~ doDivides0(X67,X68)
| ~ aNaturalNumber0(X67)
| ~ aNaturalNumber0(X68) )
& ( X68 = sdtasdt0(X67,esk2_2(X67,X68))
| ~ doDivides0(X67,X68)
| ~ aNaturalNumber0(X67)
| ~ aNaturalNumber0(X68) )
& ( ~ aNaturalNumber0(X70)
| X68 != sdtasdt0(X67,X70)
| doDivides0(X67,X68)
| ~ aNaturalNumber0(X67)
| ~ aNaturalNumber0(X68) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])]) ).
cnf(c_0_39,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_41,hypothesis,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[c_0_30,c_0_24]) ).
cnf(c_0_42,hypothesis,
aNaturalNumber0(xq),
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_31,c_0_32]),c_0_33]),c_0_26]),c_0_34])]),c_0_35]) ).
cnf(c_0_43,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(split_conjunct,[status(thm)],[m__3014]) ).
fof(c_0_44,plain,
! [X58,X59,X60] :
( ~ aNaturalNumber0(X58)
| ~ aNaturalNumber0(X59)
| ~ aNaturalNumber0(X60)
| sdtasdt0(sdtasdt0(X58,X59),X60) = sdtasdt0(X58,sdtasdt0(X59,X60)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
cnf(c_0_45,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_36]) ).
fof(c_0_46,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn) ),
inference(fof_nnf,[status(thm)],[c_0_37]) ).
fof(c_0_47,plain,
! [X14,X15] :
( ( X15 != X14
| sdtlseqdt0(X14,X15)
| ~ aNaturalNumber0(X14)
| ~ aNaturalNumber0(X15) )
& ( sdtlseqdt0(X15,X14)
| sdtlseqdt0(X14,X15)
| ~ aNaturalNumber0(X14)
| ~ aNaturalNumber0(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).
cnf(c_0_48,plain,
( doDivides0(X3,X2)
| ~ aNaturalNumber0(X1)
| X2 != sdtasdt0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_49,plain,
! [X11,X12,X13] :
( ~ aNaturalNumber0(X11)
| ~ aNaturalNumber0(X12)
| ~ aNaturalNumber0(X13)
| ~ sdtlseqdt0(X11,X12)
| ~ sdtlseqdt0(X12,X13)
| sdtlseqdt0(X11,X13) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).
cnf(c_0_50,plain,
( X1 = sz00
| sdtlseqdt0(X2,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_51,hypothesis,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).
cnf(c_0_52,hypothesis,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_43]),c_0_26])]) ).
cnf(c_0_53,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_54,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_55,hypothesis,
sdtasdt0(xp,xq) = xn,
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_45,c_0_32]),c_0_33]),c_0_26]),c_0_34])]),c_0_35]) ).
fof(c_0_56,plain,
! [X19,X20,X21] :
( ( sdtasdt0(X19,X20) != sdtasdt0(X19,X21)
| X19 = sz00
| X20 = X21
| ~ sdtlseqdt0(X20,X21)
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(X21) )
& ( sdtlseqdt0(sdtasdt0(X19,X20),sdtasdt0(X19,X21))
| X19 = sz00
| X20 = X21
| ~ sdtlseqdt0(X20,X21)
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(X21) )
& ( sdtasdt0(X20,X19) != sdtasdt0(X21,X19)
| X19 = sz00
| X20 = X21
| ~ sdtlseqdt0(X20,X21)
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(X21) )
& ( sdtlseqdt0(sdtasdt0(X20,X19),sdtasdt0(X21,X19))
| X19 = sz00
| X20 = X21
| ~ sdtlseqdt0(X20,X21)
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X20)
| ~ aNaturalNumber0(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul])])]) ).
cnf(c_0_57,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_59,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_48]),c_0_24]) ).
cnf(c_0_60,plain,
( sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_61,hypothesis,
sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_43]),c_0_51]),c_0_26])]),c_0_35]) ).
cnf(c_0_62,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_24]),c_0_53])]) ).
cnf(c_0_63,hypothesis,
( sdtasdt0(xp,sdtasdt0(xq,X1)) = sdtasdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_42]),c_0_26])]) ).
cnf(c_0_64,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_56]) ).
cnf(c_0_65,negated_conjecture,
( xm = xn
| sdtlseqdt0(xn,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_34]),c_0_53])]) ).
fof(c_0_66,plain,
! [X71,X72,X73] :
( ~ aNaturalNumber0(X71)
| ~ aNaturalNumber0(X72)
| ~ aNaturalNumber0(X73)
| ~ doDivides0(X71,X72)
| ~ doDivides0(X72,X73)
| doDivides0(X71,X73) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])]) ).
fof(c_0_67,plain,
! [X74] :
( ( sdtasdt0(X74,sz10) = X74
| ~ aNaturalNumber0(X74) )
& ( X74 = sdtasdt0(sz10,X74)
| ~ aNaturalNumber0(X74) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
cnf(c_0_68,plain,
( doDivides0(X1,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_40]) ).
cnf(c_0_69,hypothesis,
( sdtlseqdt0(X1,sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X1,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_51])]) ).
cnf(c_0_70,hypothesis,
sdtasdt0(xm,xm) = sdtasdt0(xn,xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_63]),c_0_42])]) ).
cnf(c_0_71,negated_conjecture,
( xm = xn
| X1 = sz00
| sdtlseqdt0(sdtasdt0(X1,xn),sdtasdt0(X1,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_53]),c_0_34])]) ).
cnf(c_0_72,hypothesis,
xm != sz00,
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_73,plain,
( doDivides0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_74,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_75,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_76,plain,
( X1 = sdtasdt0(X2,esk2_2(X2,X1))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_77,hypothesis,
doDivides0(xq,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_55]),c_0_42]),c_0_26])]) ).
cnf(c_0_78,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_79,hypothesis,
( sdtlseqdt0(X1,sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X1,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_80,hypothesis,
( xm = xn
| sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,xq)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_70]),c_0_53])]),c_0_72]) ).
cnf(c_0_81,hypothesis,
( doDivides0(X1,xn)
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_32]),c_0_34]),c_0_26])]) ).
cnf(c_0_82,plain,
( doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_74]),c_0_75])]) ).
cnf(c_0_83,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_23]) ).
cnf(c_0_84,hypothesis,
sdtasdt0(xq,esk2_2(xq,xn)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_42]),c_0_34])]) ).
cnf(c_0_85,hypothesis,
aNaturalNumber0(esk2_2(xq,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_77]),c_0_34]),c_0_42])]) ).
fof(c_0_86,plain,
! [X9,X10] :
( ~ aNaturalNumber0(X9)
| ~ aNaturalNumber0(X10)
| ~ sdtlseqdt0(X9,X10)
| ~ sdtlseqdt0(X10,X9)
| X9 = X10 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
cnf(c_0_87,hypothesis,
( xm = xn
| sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_88,hypothesis,
doDivides0(sz10,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_75]),c_0_26])]) ).
cnf(c_0_89,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_83]),c_0_24]),c_0_59]) ).
cnf(c_0_90,hypothesis,
sdtasdt0(xn,esk2_2(xq,xn)) = sdtasdt0(xp,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_84]),c_0_85])]) ).
cnf(c_0_91,hypothesis,
xn != sz00,
inference(split_conjunct,[status(thm)],[m__2987]) ).
cnf(c_0_92,plain,
( X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_93,hypothesis,
( xm = xn
| sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_24]),c_0_34]),c_0_53])]) ).
cnf(c_0_94,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_56]) ).
cnf(c_0_95,hypothesis,
sdtasdt0(sz10,esk2_2(sz10,xn)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_88]),c_0_75]),c_0_34])]) ).
cnf(c_0_96,hypothesis,
aNaturalNumber0(esk2_2(sz10,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_88]),c_0_34]),c_0_75])]) ).
cnf(c_0_97,hypothesis,
esk2_2(xq,xn) = sdtsldt0(sdtasdt0(xp,xn),xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_34]),c_0_85])]),c_0_91]) ).
cnf(c_0_98,hypothesis,
( sdtasdt0(xm,xn) = sdtasdt0(xn,xn)
| xm = xn
| ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_62])]) ).
cnf(c_0_99,negated_conjecture,
( xm = xn
| X1 = sz00
| sdtlseqdt0(sdtasdt0(xn,X1),sdtasdt0(xm,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_65]),c_0_53]),c_0_34])]) ).
cnf(c_0_100,plain,
( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_74]),c_0_75])]) ).
cnf(c_0_101,hypothesis,
sdtasdt0(xp,sdtasdt0(xn,xq)) = sdtasdt0(xn,xn),
inference(rw,[status(thm)],[c_0_43,c_0_70]) ).
cnf(c_0_102,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xq)),
inference(rw,[status(thm)],[c_0_51,c_0_70]) ).
cnf(c_0_103,hypothesis,
esk2_2(sz10,xn) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_95]),c_0_96])]) ).
fof(c_0_104,plain,
! [X62,X63,X64] :
( ( sdtasdt0(X62,X63) != sdtasdt0(X62,X64)
| X63 = X64
| ~ aNaturalNumber0(X63)
| ~ aNaturalNumber0(X64)
| X62 = sz00
| ~ aNaturalNumber0(X62) )
& ( sdtasdt0(X63,X62) != sdtasdt0(X64,X62)
| X63 = X64
| ~ aNaturalNumber0(X63)
| ~ aNaturalNumber0(X64)
| X62 = sz00
| ~ aNaturalNumber0(X62) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])]) ).
cnf(c_0_105,hypothesis,
sdtasdt0(xn,sdtsldt0(sdtasdt0(xp,xn),xn)) = sdtasdt0(xp,xn),
inference(rw,[status(thm)],[c_0_90,c_0_97]) ).
cnf(c_0_106,plain,
( sdtsldt0(sdtasdt0(X1,X2),X2) = X1
| X2 = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_40]) ).
cnf(c_0_107,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xn,xn)
| xm = xn
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_34])]),c_0_91]) ).
cnf(c_0_108,plain,
( sdtsldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),sdtasdt0(X1,X2)) = X3
| sdtasdt0(X1,X2) = sz00
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_54]),c_0_24]) ).
cnf(c_0_109,hypothesis,
sdtasdt0(sz10,sdtasdt0(xn,xn)) = sdtasdt0(xn,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_26])]) ).
cnf(c_0_110,hypothesis,
sdtasdt0(sz10,xn) = xn,
inference(rw,[status(thm)],[c_0_95,c_0_103]) ).
cnf(c_0_111,plain,
( X1 = X3
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_112,hypothesis,
sdtasdt0(xp,xn) = sdtasdt0(xn,xp),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_34]),c_0_26])]),c_0_91]) ).
cnf(c_0_113,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xn,xn)
| xm = xn ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_24]),c_0_34]),c_0_53])]) ).
cnf(c_0_114,hypothesis,
sdtsldt0(sdtasdt0(xn,xn),xn) = xn,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_110]),c_0_34]),c_0_75])]),c_0_91]) ).
cnf(c_0_115,hypothesis,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xn,xq),
inference(rw,[status(thm)],[c_0_25,c_0_70]) ).
cnf(c_0_116,hypothesis,
( sz10 = X1
| sdtasdt0(X1,xn) != xn
| ~ aNaturalNumber0(X1) ),
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_110]),c_0_34]),c_0_75])]),c_0_91]) ).
cnf(c_0_117,hypothesis,
doDivides0(xn,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_110]),c_0_34]),c_0_75])]) ).
cnf(c_0_118,hypothesis,
sdtsldt0(sdtasdt0(xn,xp),xn) = xp,
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_112]),c_0_34]),c_0_26])]),c_0_91]) ).
cnf(c_0_119,hypothesis,
sdtsldt0(sdtasdt0(xn,xq),xm) = xm,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_70]),c_0_53])]),c_0_72]) ).
cnf(c_0_120,negated_conjecture,
xm = xn,
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_106,c_0_113]),c_0_114]),c_0_34]),c_0_53])]),c_0_91]) ).
cnf(c_0_121,hypothesis,
sdtsldt0(sdtasdt0(xn,xq),xn) = xq,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_115]),c_0_55]),c_0_55]),c_0_42]),c_0_26])]),c_0_91]) ).
cnf(c_0_122,hypothesis,
( sz10 = X1
| sdtasdt0(xn,X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_40]),c_0_34])]) ).
cnf(c_0_123,hypothesis,
sdtasdt0(xn,esk2_2(xn,xn)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_117]),c_0_34])]) ).
cnf(c_0_124,hypothesis,
aNaturalNumber0(esk2_2(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_117]),c_0_34])]) ).
fof(c_0_125,plain,
! [X78,X79] :
( ( X78 != sz00
| ~ isPrime0(X78)
| ~ aNaturalNumber0(X78) )
& ( X78 != sz10
| ~ isPrime0(X78)
| ~ aNaturalNumber0(X78) )
& ( ~ aNaturalNumber0(X79)
| ~ doDivides0(X79,X78)
| X79 = sz10
| X79 = X78
| ~ isPrime0(X78)
| ~ aNaturalNumber0(X78) )
& ( aNaturalNumber0(esk3_1(X78))
| X78 = sz00
| X78 = sz10
| isPrime0(X78)
| ~ aNaturalNumber0(X78) )
& ( doDivides0(esk3_1(X78),X78)
| X78 = sz00
| X78 = sz10
| isPrime0(X78)
| ~ aNaturalNumber0(X78) )
& ( esk3_1(X78) != sz10
| X78 = sz00
| X78 = sz10
| isPrime0(X78)
| ~ aNaturalNumber0(X78) )
& ( esk3_1(X78) != X78
| X78 = sz00
| X78 = sz10
| isPrime0(X78)
| ~ aNaturalNumber0(X78) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefPrime])])])])]) ).
cnf(c_0_126,hypothesis,
esk2_2(xq,xn) = xp,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_112]),c_0_118]) ).
cnf(c_0_127,hypothesis,
xq = xn,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120]),c_0_121]),c_0_120]) ).
cnf(c_0_128,hypothesis,
esk2_2(xn,xn) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124])]) ).
cnf(c_0_129,plain,
( X1 != sz10
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_130,hypothesis,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[m__3025]) ).
cnf(c_0_131,hypothesis,
xp = sz10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).
cnf(c_0_132,plain,
~ isPrime0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_129]),c_0_75])]) ).
cnf(c_0_133,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131]),c_0_132]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : NUM526+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 14:52:24 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 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/tmp/tmp.CYgd62vLVE/E---3.1_12199.p
% 5.50/1.30 # Version: 3.1pre001
% 5.50/1.30 # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.50/1.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.50/1.30 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.50/1.30 # Starting new_bool_3 with 300s (1) cores
% 5.50/1.30 # Starting new_bool_1 with 300s (1) cores
% 5.50/1.30 # Starting sh5l with 300s (1) cores
% 5.50/1.30 # sh5l with pid 12280 completed with status 0
% 5.50/1.30 # Result found by sh5l
% 5.50/1.30 # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.50/1.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.50/1.30 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.50/1.30 # Starting new_bool_3 with 300s (1) cores
% 5.50/1.30 # Starting new_bool_1 with 300s (1) cores
% 5.50/1.30 # Starting sh5l with 300s (1) cores
% 5.50/1.30 # SinE strategy is gf500_gu_R04_F100_L20000
% 5.50/1.30 # Search class: FGHSF-FFMM21-SFFFFFNN
% 5.50/1.30 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 5.50/1.30 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 5.50/1.30 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 12282 completed with status 0
% 5.50/1.30 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 5.50/1.30 # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.50/1.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.50/1.30 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.50/1.30 # Starting new_bool_3 with 300s (1) cores
% 5.50/1.30 # Starting new_bool_1 with 300s (1) cores
% 5.50/1.30 # Starting sh5l with 300s (1) cores
% 5.50/1.30 # SinE strategy is gf500_gu_R04_F100_L20000
% 5.50/1.30 # Search class: FGHSF-FFMM21-SFFFFFNN
% 5.50/1.30 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 5.50/1.30 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 5.50/1.30 # Preprocessing time : 0.002 s
% 5.50/1.30 # Presaturation interreduction done
% 5.50/1.30
% 5.50/1.30 # Proof found!
% 5.50/1.30 # SZS status Theorem
% 5.50/1.30 # SZS output start CNFRefutation
% See solution above
% 5.50/1.30 # Parsed axioms : 47
% 5.50/1.30 # Removed by relevancy pruning/SinE : 1
% 5.50/1.30 # Initial clauses : 82
% 5.50/1.30 # Removed in clause preprocessing : 3
% 5.50/1.30 # Initial clauses in saturation : 79
% 5.50/1.30 # Processed clauses : 5116
% 5.50/1.30 # ...of these trivial : 198
% 5.50/1.30 # ...subsumed : 2951
% 5.50/1.30 # ...remaining for further processing : 1967
% 5.50/1.30 # Other redundant clauses eliminated : 127
% 5.50/1.30 # Clauses deleted for lack of memory : 0
% 5.50/1.30 # Backward-subsumed : 201
% 5.50/1.30 # Backward-rewritten : 965
% 5.50/1.30 # Generated clauses : 36700
% 5.50/1.30 # ...of the previous two non-redundant : 30930
% 5.50/1.30 # ...aggressively subsumed : 0
% 5.50/1.30 # Contextual simplify-reflections : 183
% 5.50/1.30 # Paramodulations : 36550
% 5.50/1.30 # Factorizations : 12
% 5.50/1.30 # NegExts : 0
% 5.50/1.30 # Equation resolutions : 135
% 5.50/1.30 # Total rewrite steps : 49227
% 5.50/1.30 # Propositional unsat checks : 0
% 5.50/1.30 # Propositional check models : 0
% 5.50/1.30 # Propositional check unsatisfiable : 0
% 5.50/1.30 # Propositional clauses : 0
% 5.50/1.30 # Propositional clauses after purity: 0
% 5.50/1.30 # Propositional unsat core size : 0
% 5.50/1.30 # Propositional preprocessing time : 0.000
% 5.50/1.30 # Propositional encoding time : 0.000
% 5.50/1.30 # Propositional solver time : 0.000
% 5.50/1.30 # Success case prop preproc time : 0.000
% 5.50/1.30 # Success case prop encoding time : 0.000
% 5.50/1.30 # Success case prop solver time : 0.000
% 5.50/1.30 # Current number of processed clauses : 716
% 5.50/1.30 # Positive orientable unit clauses : 240
% 5.50/1.30 # Positive unorientable unit clauses: 0
% 5.50/1.30 # Negative unit clauses : 35
% 5.50/1.30 # Non-unit-clauses : 441
% 5.50/1.30 # Current number of unprocessed clauses: 25328
% 5.50/1.30 # ...number of literals in the above : 118750
% 5.50/1.30 # Current number of archived formulas : 0
% 5.50/1.30 # Current number of archived clauses : 1243
% 5.50/1.30 # Clause-clause subsumption calls (NU) : 108318
% 5.50/1.30 # Rec. Clause-clause subsumption calls : 50331
% 5.50/1.30 # Non-unit clause-clause subsumptions : 2534
% 5.50/1.30 # Unit Clause-clause subsumption calls : 13528
% 5.50/1.30 # Rewrite failures with RHS unbound : 0
% 5.50/1.30 # BW rewrite match attempts : 198
% 5.50/1.30 # BW rewrite match successes : 121
% 5.50/1.30 # Condensation attempts : 0
% 5.50/1.30 # Condensation successes : 0
% 5.50/1.30 # Termbank termtop insertions : 685588
% 5.50/1.30
% 5.50/1.30 # -------------------------------------------------
% 5.50/1.30 # User time : 0.724 s
% 5.50/1.30 # System time : 0.036 s
% 5.50/1.30 # Total time : 0.760 s
% 5.50/1.30 # Maximum resident set size: 2076 pages
% 5.50/1.30
% 5.50/1.30 # -------------------------------------------------
% 5.50/1.30 # User time : 0.726 s
% 5.50/1.30 # System time : 0.039 s
% 5.50/1.30 # Total time : 0.764 s
% 5.50/1.30 # Maximum resident set size: 1736 pages
% 5.50/1.30 % E---3.1 exiting
% 5.50/1.30 % E---3.1 exiting
%------------------------------------------------------------------------------