%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM462+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:57:25 PM UTC 2026
% Result : Theorem 85.23s 49.88s
% Output : CNFRefutation 85.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 70 ( 17 unt; 0 def)
% Number of atoms : 229 ( 84 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 283 ( 124 ~; 119 |; 28 &)
% ( 1 <=>; 11 =>; 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 91 ( 0 sgn 37 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mMulCanc,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( X1 != sz00
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
| sdtasdt0(X2,X1) = sdtasdt0(X3,X1) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
fof(m__897,hypothesis,
( aNaturalNumber0(xm)
& aNaturalNumber0(xl)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__897) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(m__897_03,hypothesis,
( xm != sz00
& xl != xn
& sdtlseqdt0(xl,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__897_03) ).
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/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(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/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(c_0_12,plain,
! [X75,X76,X77] :
( ( sdtasdt0(X75,X76) != sdtasdt0(X75,X77)
| X76 = X77
| ~ aNaturalNumber0(X76)
| ~ aNaturalNumber0(X77)
| X75 = sz00
| ~ aNaturalNumber0(X75) )
& ( sdtasdt0(X76,X75) != sdtasdt0(X77,X75)
| X76 = X77
| ~ aNaturalNumber0(X76)
| ~ aNaturalNumber0(X77)
| X75 = sz00
| ~ aNaturalNumber0(X75) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulCanc])])])]) ).
cnf(c_0_13,plain,
( X2 = X3
| X1 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_14,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__897]) ).
fof(c_0_15,plain,
! [X67] :
( ( sdtasdt0(X67,sz10) = X67
| ~ aNaturalNumber0(X67) )
& ( X67 = sdtasdt0(sz10,X67)
| ~ aNaturalNumber0(X67) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
cnf(c_0_16,hypothesis,
( X1 = xn
| X2 = sz00
| sdtasdt0(X2,X1) != sdtasdt0(X2,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_19,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
fof(c_0_20,plain,
! [X54,X55] :
( ~ aNaturalNumber0(X54)
| ~ aNaturalNumber0(X55)
| aNaturalNumber0(sdtasdt0(X54,X55)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
cnf(c_0_21,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__897]) ).
fof(c_0_22,plain,
! [X62,X63] :
( ~ aNaturalNumber0(X62)
| ~ aNaturalNumber0(X63)
| sdtasdt0(X62,X63) = sdtasdt0(X63,X62) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_23,hypothesis,
( sdtasdt0(sz10,xn) = xn
| ~ aNaturalNumber0(sdtasdt0(sz10,xn)) ),
inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19])]) ).
cnf(c_0_24,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,hypothesis,
( X1 = xm
| X2 = sz00
| sdtasdt0(X2,X1) != sdtasdt0(X2,xm)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_21]) ).
fof(c_0_26,plain,
! [X64,X65,X66] :
( ~ aNaturalNumber0(X64)
| ~ aNaturalNumber0(X65)
| ~ aNaturalNumber0(X66)
| sdtasdt0(sdtasdt0(X64,X65),X66) = sdtasdt0(X64,sdtasdt0(X65,X66)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
cnf(c_0_27,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,hypothesis,
sdtasdt0(sz10,xn) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_14]),c_0_18])]) ).
cnf(c_0_29,hypothesis,
( sdtasdt0(sz10,xm) = xm
| ~ aNaturalNumber0(sdtasdt0(sz10,xm)) ),
inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_17]),c_0_18])]),c_0_19])]) ).
cnf(c_0_30,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,hypothesis,
sdtasdt0(xn,sz10) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_14]),c_0_18])]) ).
cnf(c_0_32,hypothesis,
sdtasdt0(sz10,xm) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_24]),c_0_21]),c_0_18])]) ).
cnf(c_0_33,plain,
( X1 = X3
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_34,hypothesis,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[m__897]) ).
cnf(c_0_35,hypothesis,
( sdtasdt0(xn,sdtasdt0(sz10,X1)) = sdtasdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_18]),c_0_14])]) ).
cnf(c_0_36,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_30]),c_0_24]) ).
cnf(c_0_37,hypothesis,
( sdtasdt0(sz10,sdtasdt0(xm,X1)) = sdtasdt0(xm,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_32]),c_0_21]),c_0_18])]) ).
cnf(c_0_38,hypothesis,
( X1 = xl
| X2 = sz00
| sdtasdt0(X1,X2) != sdtasdt0(xl,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,hypothesis,
( sdtasdt0(X1,xn) = sdtasdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_31]),c_0_18]),c_0_14])]) ).
cnf(c_0_40,hypothesis,
xl != xn,
inference(split_conjunct,[status(thm)],[m__897_03]) ).
fof(c_0_41,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_42,hypothesis,
( sdtasdt0(sz10,sdtasdt0(xn,X1)) = sdtasdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_14]),c_0_18])]) ).
cnf(c_0_43,hypothesis,
( sdtasdt0(xm,X1) = sdtasdt0(X1,xm)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_32]),c_0_21]),c_0_18])]) ).
cnf(c_0_44,hypothesis,
( X1 = xl
| X2 = sz00
| sdtasdt0(X2,X1) != sdtasdt0(X2,xl)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_34]) ).
cnf(c_0_45,hypothesis,
( X1 = sz00
| sdtasdt0(X1,xn) != sdtasdt0(xl,X1)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_14])]),c_0_40]) ).
fof(c_0_46,plain,
! [X82,X83,X85] :
( ( aNaturalNumber0(esk1_2(X82,X83))
| ~ sdtlseqdt0(X82,X83)
| ~ aNaturalNumber0(X82)
| ~ aNaturalNumber0(X83) )
& ( sdtpldt0(X82,esk1_2(X82,X83)) = X83
| ~ sdtlseqdt0(X82,X83)
| ~ aNaturalNumber0(X82)
| ~ aNaturalNumber0(X83) )
& ( ~ aNaturalNumber0(X85)
| sdtpldt0(X82,X85) != X83
| sdtlseqdt0(X82,X83)
| ~ aNaturalNumber0(X82)
| ~ aNaturalNumber0(X83) ) ),
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_47,plain,
! [X52,X53] :
( ~ aNaturalNumber0(X52)
| ~ aNaturalNumber0(X53)
| aNaturalNumber0(sdtpldt0(X52,X53)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(c_0_48,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_41]) ).
cnf(c_0_49,hypothesis,
sdtasdt0(sz10,sdtasdt0(xm,xn)) = sdtasdt0(xm,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_21]),c_0_14])]) ).
cnf(c_0_50,hypothesis,
( X1 = sz00
| sdtasdt0(xn,X1) != sdtasdt0(X1,xl)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_14])]),c_0_40]) ).
cnf(c_0_51,hypothesis,
xm != sz00,
inference(split_conjunct,[status(thm)],[m__897_03]) ).
cnf(c_0_52,hypothesis,
( X1 = sz00
| sdtasdt0(xn,X1) != sdtasdt0(xl,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_27]),c_0_14])]) ).
cnf(c_0_53,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_54,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_55,plain,
! [X69,X70,X71] :
( ( sdtasdt0(X69,sdtpldt0(X70,X71)) = sdtpldt0(sdtasdt0(X69,X70),sdtasdt0(X69,X71))
| ~ aNaturalNumber0(X69)
| ~ aNaturalNumber0(X70)
| ~ aNaturalNumber0(X71) )
& ( sdtasdt0(sdtpldt0(X70,X71),X69) = sdtpldt0(sdtasdt0(X70,X69),sdtasdt0(X71,X69))
| ~ aNaturalNumber0(X69)
| ~ aNaturalNumber0(X70)
| ~ aNaturalNumber0(X71) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
cnf(c_0_56,negated_conjecture,
( sdtasdt0(xm,xl) = sdtasdt0(xm,xn)
| sdtasdt0(xl,xm) = sdtasdt0(xn,xm)
| ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,hypothesis,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
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_36,c_0_49]),c_0_32]),c_0_14]),c_0_21]),c_0_18])]) ).
cnf(c_0_58,hypothesis,
sdtasdt0(xm,xn) != sdtasdt0(xm,xl),
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_21]),c_0_14])]),c_0_51]) ).
cnf(c_0_59,hypothesis,
sdtasdt0(xl,xm) != sdtasdt0(xm,xn),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_43]),c_0_21]),c_0_14])]),c_0_51]) ).
cnf(c_0_60,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_53]),c_0_54]) ).
cnf(c_0_61,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_62,negated_conjecture,
( ~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))
| ~ sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xm,xn)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57]),c_0_57]),c_0_58]),c_0_59]) ).
cnf(c_0_63,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_24]),c_0_24]) ).
cnf(c_0_64,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_65,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_66,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_27]),c_0_21]),c_0_34])]) ).
cnf(c_0_67,plain,
( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_68,hypothesis,
sdtlseqdt0(xl,xn),
inference(split_conjunct,[status(thm)],[m__897_03]) ).
cnf(c_0_69,negated_conjecture,
$false,
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_66,c_0_67]),c_0_68]),c_0_34]),c_0_21]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM462+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n004.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 00:36:02 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 85.23/49.88 % Version : CSE_E---1.7
% 85.23/49.88 % Problem : theBenchmark.p
% 85.23/49.88 % SZS status Theorem for theBenchmark.p
% 85.23/49.88 % SZS output start CNFRefutation
% See solution above
% 85.63/50.26 % Total time : 36.074s
%------------------------------------------------------------------------------