TSTP Solution File: NUM462+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM462+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 : 600s
% DateTime : Mon Jul 18 09:32:41 EDT 2022
% Result : Theorem 0.46s 51.65s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 102 ( 14 unt; 0 def)
% Number of atoms : 351 ( 116 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 431 ( 182 ~; 196 |; 36 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 140 ( 1 sgn 53 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/solver/bin/../tmp/theBenchmark.p',mMulAsso) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mMulComm) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m_MulZero) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSortsB_02) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSortsC) ).
fof(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mAMDistr) ).
fof(m_AddZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m_AddZero) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSortsB) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mAddAsso) ).
fof(m__897,hypothesis,
( aNaturalNumber0(xm)
& aNaturalNumber0(xl)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__897) ).
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefLE) ).
fof(mLETotal,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( X2 != X1
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mLETotal) ).
fof(mLEAsym,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mLEAsym) ).
fof(m__,conjecture,
( sdtasdt0(xm,xl) != sdtasdt0(xm,xn)
& sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
& sdtasdt0(xl,xm) != sdtasdt0(xn,xm)
& sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(m__897_03,hypothesis,
( xm != sz00
& xl != xn
& sdtlseqdt0(xl,xn) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__897_03) ).
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/sandbox/solver/bin/../tmp/theBenchmark.p',mMulCanc) ).
fof(c_0_16,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| sdtasdt0(sdtasdt0(X4,X5),X6) = sdtasdt0(X4,sdtasdt0(X5,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(c_0_17,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_18,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X2,sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(pm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_21,plain,
! [X2] :
( ( sdtasdt0(X2,sz00) = sz00
| ~ aNaturalNumber0(X2) )
& ( sz00 = sdtasdt0(sz00,X2)
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
fof(c_0_22,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
cnf(c_0_23,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X2,sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(pm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_24,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_26,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_27,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtasdt0(sdtpldt0(X5,X6),X4) = sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
cnf(c_0_28,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(pm,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_29,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_24,c_0_18]),c_0_25])]),c_0_26]) ).
cnf(c_0_30,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,plain,
( sdtasdt0(sdtpldt0(X2,X1),X3) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_32,plain,
! [X2] :
( ( sdtpldt0(X2,sz00) = X2
| ~ aNaturalNumber0(X2) )
& ( X2 = sdtpldt0(sz00,X2)
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
cnf(c_0_33,plain,
( sdtasdt0(sz00,sdtasdt0(X1,X2)) = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_29]),c_0_25])]) ).
cnf(c_0_34,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_35,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(c_0_36,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| sdtpldt0(sdtpldt0(X4,X5),X6) = sdtpldt0(X4,sdtpldt0(X5,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
cnf(c_0_37,plain,
( sdtasdt0(sdtpldt0(X1,X1),X2) = sdtasdt0(X1,sdtpldt0(X2,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(pm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( sdtasdt0(sz00,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_33,c_0_34]),c_0_25])]) ).
cnf(c_0_40,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__897]) ).
fof(c_0_41,plain,
! [X4,X5,X7] :
( ( aNaturalNumber0(esk1_2(X4,X5))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( sdtpldt0(X4,esk1_2(X4,X5)) = X5
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X7)
| sdtpldt0(X4,X7) != X5
| sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefLE])])])])])])]) ).
fof(c_0_42,plain,
! [X3,X4] :
( ( X4 != X3
| sdtlseqdt0(X3,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) )
& ( sdtlseqdt0(X4,X3)
| sdtlseqdt0(X3,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETotal])])]) ).
cnf(c_0_43,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,plain,
( sdtasdt0(sz00,sdtpldt0(X1,X1)) = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_37,c_0_38]),c_0_25])]) ).
cnf(c_0_46,plain,
( sdtasdt0(X1,sdtpldt0(X2,sz00)) = sdtpldt0(sdtasdt0(X1,X2),sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_30,c_0_24]),c_0_25])]) ).
cnf(c_0_47,hypothesis,
sdtasdt0(sz00,sz00) = sz00,
inference(pm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_48,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])]) ).
cnf(c_0_49,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
( aNaturalNumber0(sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_43,c_0_44]),c_0_43]) ).
cnf(c_0_52,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_47]),c_0_25])]) ).
cnf(c_0_53,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_49]),c_0_43]) ).
cnf(c_0_55,hypothesis,
( sdtlseqdt0(xn,X1)
| sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(X1) ),
inference(pm,[status(thm)],[c_0_50,c_0_40]) ).
cnf(c_0_56,plain,
( aNaturalNumber0(sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_52]),c_0_25])]) ).
fof(c_0_57,negated_conjecture,
~ ( sdtasdt0(xm,xl) != sdtasdt0(xm,xn)
& sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
& sdtasdt0(xl,xm) != sdtasdt0(xn,xm)
& sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_58,plain,
( sdtpldt0(X1,X2) = X1
| ~ sdtlseqdt0(sdtpldt0(X1,X2),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_53,c_0_54]),c_0_43]) ).
cnf(c_0_59,hypothesis,
( sdtlseqdt0(sdtpldt0(X1,sz00),xn)
| sdtlseqdt0(xn,sdtpldt0(X1,sz00))
| ~ aNaturalNumber0(X1) ),
inference(pm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_60,negated_conjecture,
( sdtasdt0(xm,xl) = sdtasdt0(xm,xn)
| ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| sdtasdt0(xl,xm) = sdtasdt0(xn,xm)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)) ),
inference(fof_nnf,[status(thm)],[c_0_57]) ).
cnf(c_0_61,hypothesis,
( sdtpldt0(xn,sz00) = xn
| sdtlseqdt0(xn,sdtpldt0(xn,sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_58,c_0_59]),c_0_40]),c_0_25])]) ).
cnf(c_0_62,negated_conjecture,
( sdtasdt0(xl,xm) = sdtasdt0(xn,xm)
| sdtasdt0(xm,xl) = sdtasdt0(xm,xn)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_63,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__897]) ).
cnf(c_0_64,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),X3)
| sdtasdt0(X1,sdtpldt0(X2,X4)) != X3
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_49,c_0_30]),c_0_26]),c_0_26]) ).
cnf(c_0_65,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_66,hypothesis,
( sdtpldt0(xn,sz00) = xn
| ~ sdtlseqdt0(sdtpldt0(xn,sz00),xn)
| ~ aNaturalNumber0(sdtpldt0(xn,sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_53,c_0_61]),c_0_40])]) ).
cnf(c_0_67,hypothesis,
sdtlseqdt0(xn,xn),
inference(pm,[status(thm)],[c_0_55,c_0_40]) ).
cnf(c_0_68,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtasdt0(xn,xm) = sdtasdt0(xl,xm)
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_62,c_0_19]),c_0_40]),c_0_63])]) ).
cnf(c_0_69,hypothesis,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[m__897]) ).
cnf(c_0_70,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),X3)
| sdtasdt0(X1,X2) != X3
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_64,c_0_65]),c_0_25])]) ).
cnf(c_0_71,hypothesis,
( sdtpldt0(xn,sz00) = xn
| ~ aNaturalNumber0(sdtpldt0(xn,sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_66,c_0_65]),c_0_67]),c_0_40])]) ).
cnf(c_0_72,negated_conjecture,
( sdtasdt0(xn,xm) = sdtasdt0(xl,xm)
| sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_68,c_0_19]),c_0_63]),c_0_69])]) ).
cnf(c_0_73,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),X3)
| sdtasdt0(X2,X1) != X3
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(pm,[status(thm)],[c_0_70,c_0_19]) ).
cnf(c_0_74,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(sdtpldt0(X1,X3),X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_54,c_0_31]),c_0_26]),c_0_26]) ).
cnf(c_0_75,hypothesis,
sdtpldt0(xn,sz00) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_71,c_0_65]),c_0_40])]) ).
cnf(c_0_76,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtasdt0(xn,xm) = sdtasdt0(xl,xm)
| sdtasdt0(xl,xm) != sdtasdt0(xm,xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_72,c_0_73]),c_0_69]),c_0_63])]) ).
cnf(c_0_77,hypothesis,
( sdtlseqdt0(sdtasdt0(xn,X1),sdtasdt0(xn,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_74,c_0_75]),c_0_40]),c_0_25])]) ).
cnf(c_0_78,negated_conjecture,
( sdtasdt0(xn,xm) = sdtasdt0(xl,xm)
| sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtasdt0(xl,xm) != sdtasdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_76,c_0_26]),c_0_40]),c_0_63])]) ).
cnf(c_0_79,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xl,xm))
| sdtasdt0(xl,xm) != sdtasdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_77,c_0_78]),c_0_63])]) ).
cnf(c_0_80,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))
| sdtasdt0(xl,xm) != sdtasdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_77,c_0_78]),c_0_63])]) ).
cnf(c_0_81,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,xl))
| sdtasdt0(xl,xm) != sdtasdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_79,c_0_19]),c_0_63]),c_0_69])]) ).
cnf(c_0_82,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| aNaturalNumber0(sdtasdt0(xl,xm))
| sdtasdt0(xl,xm) != sdtasdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_26,c_0_78]),c_0_63]),c_0_40])]) ).
cnf(c_0_83,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,xn))
| sdtasdt0(xl,xm) != sdtasdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_80,c_0_19]),c_0_63]),c_0_40])]) ).
cnf(c_0_84,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_54,c_0_30]),c_0_26]),c_0_26]) ).
cnf(c_0_85,plain,
( sdtpldt0(X2,esk1_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_86,plain,
( aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_87,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xm,xl))
| sdtasdt0(xl,xm) != sdtasdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_81,c_0_19]),c_0_63]),c_0_40])]) ).
cnf(c_0_88,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| aNaturalNumber0(sdtasdt0(xm,xl))
| sdtasdt0(xl,xm) != sdtasdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_82,c_0_19]),c_0_63]),c_0_69])]) ).
cnf(c_0_89,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| sdtasdt0(xl,xm) != sdtasdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_83,c_0_19]),c_0_63]),c_0_69])]) ).
cnf(c_0_90,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_91,hypothesis,
sdtlseqdt0(xl,xn),
inference(split_conjunct,[status(thm)],[m__897_03]) ).
cnf(c_0_92,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtasdt0(xl,xm) != sdtasdt0(xm,xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_53,c_0_87]),c_0_88]),c_0_89]) ).
fof(c_0_93,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,X5) != sdtasdt0(X4,X6)
| X5 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| X4 = sz00
| ~ aNaturalNumber0(X4) )
& ( sdtasdt0(X5,X4) != sdtasdt0(X6,X4)
| X5 = X6
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| X4 = sz00
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])])])]) ).
cnf(c_0_94,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtasdt0(xn,xm) = sdtasdt0(xl,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_72,c_0_90]),c_0_91]),c_0_63]),c_0_69]),c_0_40])]) ).
cnf(c_0_95,negated_conjecture,
( sdtasdt0(xm,xn) = sdtasdt0(xm,xl)
| sdtasdt0(xl,xm) != sdtasdt0(xm,xn) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_92,c_0_26]),c_0_40]),c_0_63])]) ).
cnf(c_0_96,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_97,negated_conjecture,
sdtasdt0(xm,xn) = sdtasdt0(xm,xl),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_94]),c_0_63]),c_0_40])]),c_0_95]) ).
cnf(c_0_98,hypothesis,
xm != sz00,
inference(split_conjunct,[status(thm)],[m__897_03]) ).
cnf(c_0_99,negated_conjecture,
( xn = X1
| sdtasdt0(xm,xl) != sdtasdt0(xm,X1)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_96,c_0_97]),c_0_40]),c_0_63])]),c_0_98]) ).
cnf(c_0_100,hypothesis,
xl != xn,
inference(split_conjunct,[status(thm)],[m__897_03]) ).
cnf(c_0_101,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_99]),c_0_69])]),c_0_100]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM462+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 09:04:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.33/23.40 eprover: CPU time limit exceeded, terminating
% 0.33/23.41 eprover: CPU time limit exceeded, terminating
% 0.33/23.41 eprover: CPU time limit exceeded, terminating
% 0.33/23.43 eprover: CPU time limit exceeded, terminating
% 0.44/46.42 eprover: CPU time limit exceeded, terminating
% 0.44/46.43 eprover: CPU time limit exceeded, terminating
% 0.44/46.43 eprover: CPU time limit exceeded, terminating
% 0.44/46.46 eprover: CPU time limit exceeded, terminating
% 0.46/51.65 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.46/51.65
% 0.46/51.65 # Failure: Resource limit exceeded (time)
% 0.46/51.65 # OLD status Res
% 0.46/51.65 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.46/51.65 # Preprocessing time : 0.016 s
% 0.46/51.65 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.46/51.65
% 0.46/51.65 # Failure: Resource limit exceeded (time)
% 0.46/51.65 # OLD status Res
% 0.46/51.65 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.46/51.65 # Preprocessing time : 0.016 s
% 0.46/51.65 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.46/51.65 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.46/51.65 # Preprocessing time : 0.016 s
% 0.46/51.65
% 0.46/51.65 # Proof found!
% 0.46/51.65 # SZS status Theorem
% 0.46/51.65 # SZS output start CNFRefutation
% See solution above
% 0.46/51.65 # Proof object total steps : 102
% 0.46/51.65 # Proof object clause steps : 72
% 0.46/51.65 # Proof object formula steps : 30
% 0.46/51.65 # Proof object conjectures : 22
% 0.46/51.65 # Proof object clause conjectures : 19
% 0.46/51.65 # Proof object formula conjectures : 3
% 0.46/51.65 # Proof object initial clauses used : 25
% 0.46/51.65 # Proof object initial formulas used : 16
% 0.46/51.65 # Proof object generating inferences : 47
% 0.46/51.65 # Proof object simplifying inferences : 97
% 0.46/51.65 # Training examples: 0 positive, 0 negative
% 0.46/51.65 # Parsed axioms : 27
% 0.46/51.65 # Removed by relevancy pruning/SinE : 3
% 0.46/51.65 # Initial clauses : 40
% 0.46/51.65 # Removed in clause preprocessing : 1
% 0.46/51.65 # Initial clauses in saturation : 39
% 0.46/51.65 # Processed clauses : 14022
% 0.46/51.65 # ...of these trivial : 336
% 0.46/51.65 # ...subsumed : 11010
% 0.46/51.65 # ...remaining for further processing : 2676
% 0.46/51.65 # Other redundant clauses eliminated : 15
% 0.46/51.65 # Clauses deleted for lack of memory : 137696
% 0.46/51.65 # Backward-subsumed : 1602
% 0.46/51.65 # Backward-rewritten : 308
% 0.46/51.65 # Generated clauses : 280176
% 0.46/51.65 # ...of the previous two non-trivial : 274330
% 0.46/51.65 # Contextual simplify-reflections : 3790
% 0.46/51.65 # Paramodulations : 280134
% 0.46/51.65 # Factorizations : 0
% 0.46/51.65 # Equation resolutions : 42
% 0.46/51.65 # Current number of processed clauses : 765
% 0.46/51.65 # Positive orientable unit clauses : 51
% 0.46/51.65 # Positive unorientable unit clauses: 0
% 0.46/51.65 # Negative unit clauses : 17
% 0.46/51.65 # Non-unit-clauses : 697
% 0.46/51.65 # Current number of unprocessed clauses: 69812
% 0.46/51.65 # ...number of literals in the above : 380630
% 0.46/51.65 # Current number of archived formulas : 0
% 0.46/51.65 # Current number of archived clauses : 1910
% 0.46/51.65 # Clause-clause subsumption calls (NU) : 2006986
% 0.46/51.65 # Rec. Clause-clause subsumption calls : 176019
% 0.46/51.65 # Non-unit clause-clause subsumptions : 15874
% 0.46/51.65 # Unit Clause-clause subsumption calls : 13261
% 0.46/51.65 # Rewrite failures with RHS unbound : 0
% 0.46/51.65 # BW rewrite match attempts : 24
% 0.46/51.65 # BW rewrite match successes : 21
% 0.46/51.65 # Condensation attempts : 0
% 0.46/51.65 # Condensation successes : 0
% 0.46/51.65 # Termbank termtop insertions : 4417470
% 0.46/51.65
% 0.46/51.65 # -------------------------------------------------
% 0.46/51.65 # User time : 4.737 s
% 0.46/51.65 # System time : 0.103 s
% 0.46/51.65 # Total time : 4.840 s
% 0.46/51.65 # Maximum resident set size: 134112 pages
%------------------------------------------------------------------------------