%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM459+2 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.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 04:57:24 PM UTC 2026
% Result : Theorem 2.47s 2.08s
% Output : CNFRefutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 71 ( 24 unt; 0 def)
% Number of atoms : 236 ( 88 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 282 ( 117 ~; 113 |; 37 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 89 ( 0 sgn 37 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xn )
& sdtlseqdt0(xm,xn)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xn,X1) = xm )
& sdtlseqdt0(xn,xm) )
=> xm = xn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mAddCanc,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtpldt0(X1,X2) = sdtpldt0(X1,X3)
| sdtpldt0(X2,X1) = sdtpldt0(X3,X1) )
=> X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(m__745,hypothesis,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__745) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( X3 = sdtmndt0(X2,X1)
<=> ( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X1,X3) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/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/benchmark/theBenchmark.p',mAddAsso) ).
fof(m_AddZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(mSortsC,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(mZeroAdd,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtpldt0(X1,X2) = sz00
=> ( X1 = sz00
& X2 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(c_0_11,negated_conjecture,
~ ( ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,X1) = xn )
& sdtlseqdt0(xm,xn)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xn,X1) = xm )
& sdtlseqdt0(xn,xm) )
=> xm = xn ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_12,plain,
! [X64,X65,X66] :
( ( sdtpldt0(X64,X65) != sdtpldt0(X64,X66)
| X65 = X66
| ~ aNaturalNumber0(X64)
| ~ aNaturalNumber0(X65)
| ~ aNaturalNumber0(X66) )
& ( sdtpldt0(X65,X64) != sdtpldt0(X66,X64)
| X65 = X66
| ~ aNaturalNumber0(X64)
| ~ aNaturalNumber0(X65)
| ~ aNaturalNumber0(X66) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])]) ).
fof(c_0_13,negated_conjecture,
( aNaturalNumber0(esk2_0)
& sdtpldt0(xm,esk2_0) = xn
& sdtlseqdt0(xm,xn)
& aNaturalNumber0(esk3_0)
& sdtpldt0(xn,esk3_0) = xm
& sdtlseqdt0(xn,xm)
& xm != xn ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_14,plain,
( X1 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,negated_conjecture,
sdtpldt0(xn,esk3_0) = xm,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__745]) ).
cnf(c_0_17,negated_conjecture,
aNaturalNumber0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_18,plain,
! [X48,X49] :
( ~ aNaturalNumber0(X48)
| ~ aNaturalNumber0(X49)
| sdtpldt0(X48,X49) = sdtpldt0(X49,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(c_0_19,plain,
! [X78,X79,X80] :
( ( aNaturalNumber0(X80)
| X80 != sdtmndt0(X79,X78)
| ~ sdtlseqdt0(X78,X79)
| ~ aNaturalNumber0(X78)
| ~ aNaturalNumber0(X79) )
& ( sdtpldt0(X78,X80) = X79
| X80 != sdtmndt0(X79,X78)
| ~ sdtlseqdt0(X78,X79)
| ~ aNaturalNumber0(X78)
| ~ aNaturalNumber0(X79) )
& ( ~ aNaturalNumber0(X80)
| sdtpldt0(X78,X80) != X79
| X80 = sdtmndt0(X79,X78)
| ~ sdtlseqdt0(X78,X79)
| ~ aNaturalNumber0(X78)
| ~ aNaturalNumber0(X79) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])]) ).
fof(c_0_20,plain,
! [X74,X75,X77] :
( ( aNaturalNumber0(esk1_2(X74,X75))
| ~ sdtlseqdt0(X74,X75)
| ~ aNaturalNumber0(X74)
| ~ aNaturalNumber0(X75) )
& ( sdtpldt0(X74,esk1_2(X74,X75)) = X75
| ~ sdtlseqdt0(X74,X75)
| ~ aNaturalNumber0(X74)
| ~ aNaturalNumber0(X75) )
& ( ~ aNaturalNumber0(X77)
| sdtpldt0(X74,X77) != X75
| sdtlseqdt0(X74,X75)
| ~ aNaturalNumber0(X74)
| ~ aNaturalNumber0(X75) ) ),
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_21,plain,
! [X44,X45] :
( ~ aNaturalNumber0(X44)
| ~ aNaturalNumber0(X45)
| aNaturalNumber0(sdtpldt0(X44,X45)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
cnf(c_0_22,negated_conjecture,
( X1 = xn
| sdtpldt0(X1,esk3_0) != xm
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]) ).
cnf(c_0_23,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( sdtpldt0(X1,X2) = X3
| X2 != sdtmndt0(X3,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( X1 = xn
| sdtpldt0(esk3_0,X1) != xm
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_17])]) ).
cnf(c_0_28,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_29,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__745]) ).
cnf(c_0_30,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_25]),c_0_26]) ).
fof(c_0_32,plain,
! [X50,X51,X52] :
( ~ aNaturalNumber0(X50)
| ~ aNaturalNumber0(X51)
| ~ aNaturalNumber0(X52)
| sdtpldt0(sdtpldt0(X50,X51),X52) = sdtpldt0(X50,sdtpldt0(X51,X52)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
cnf(c_0_33,negated_conjecture,
( sdtmndt0(xm,esk3_0) = xn
| ~ sdtlseqdt0(esk3_0,xm)
| ~ aNaturalNumber0(sdtmndt0(xm,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_17])])]),c_0_29])]) ).
cnf(c_0_34,plain,
( aNaturalNumber0(sdtmndt0(X1,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_23]) ).
cnf(c_0_36,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,negated_conjecture,
sdtpldt0(xm,esk2_0) = xn,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_38,negated_conjecture,
aNaturalNumber0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_39,plain,
! [X53] :
( ( sdtpldt0(X53,sz00) = X53
| ~ aNaturalNumber0(X53) )
& ( X53 = sdtpldt0(sz00,X53)
| ~ aNaturalNumber0(X53) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])]) ).
cnf(c_0_40,negated_conjecture,
( sdtmndt0(xm,esk3_0) = xn
| ~ sdtlseqdt0(esk3_0,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_17]),c_0_29])]) ).
cnf(c_0_41,negated_conjecture,
sdtlseqdt0(esk3_0,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_15]),c_0_17]),c_0_16])]) ).
cnf(c_0_42,plain,
( X1 = sdtmndt0(X3,X2)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X2,X1) != X3
| ~ sdtlseqdt0(X2,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_43,negated_conjecture,
( sdtpldt0(xm,sdtpldt0(esk2_0,X1)) = sdtpldt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_29])]) ).
cnf(c_0_44,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_46,negated_conjecture,
sdtmndt0(xm,esk3_0) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).
cnf(c_0_47,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_42]),c_0_26]),c_0_31]) ).
cnf(c_0_48,negated_conjecture,
( sdtpldt0(xn,sdtpldt0(esk3_0,X1)) = sdtpldt0(xm,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_15]),c_0_17]),c_0_16])]) ).
cnf(c_0_49,negated_conjecture,
sdtpldt0(xn,sz00) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_37]),c_0_45]),c_0_38])]) ).
cnf(c_0_50,negated_conjecture,
sdtpldt0(esk3_0,xn) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_46]),c_0_41]),c_0_29]),c_0_17])]) ).
cnf(c_0_51,negated_conjecture,
( sdtmndt0(sdtpldt0(xm,X1),xn) = sdtpldt0(esk3_0,X1)
| ~ aNaturalNumber0(sdtpldt0(esk3_0,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_16])]) ).
cnf(c_0_52,negated_conjecture,
sdtmndt0(xn,xn) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_49]),c_0_16]),c_0_45])]) ).
cnf(c_0_53,negated_conjecture,
( sdtpldt0(esk3_0,sdtpldt0(xn,X1)) = sdtpldt0(xm,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_50]),c_0_16]),c_0_17])]) ).
fof(c_0_54,plain,
! [X70,X71] :
( ( X70 = sz00
| sdtpldt0(X70,X71) != sz00
| ~ aNaturalNumber0(X70)
| ~ aNaturalNumber0(X71) )
& ( X71 = sz00
| sdtpldt0(X70,X71) != sz00
| ~ aNaturalNumber0(X70)
| ~ aNaturalNumber0(X71) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroAdd])])]) ).
cnf(c_0_55,negated_conjecture,
( sdtpldt0(esk3_0,esk2_0) = sz00
| ~ aNaturalNumber0(sdtpldt0(esk3_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_37]),c_0_52]),c_0_38])]) ).
cnf(c_0_56,plain,
( X2 = X3
| sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_57,negated_conjecture,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_50]),c_0_16])]) ).
cnf(c_0_58,negated_conjecture,
sdtpldt0(esk3_0,xm) = sdtpldt0(xm,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_15]),c_0_17])]) ).
cnf(c_0_59,negated_conjecture,
( sdtpldt0(X1,X2) = xn
| sdtpldt0(X1,sdtpldt0(X2,esk3_0)) != xm
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_36]),c_0_17])]),c_0_26]) ).
cnf(c_0_60,negated_conjecture,
xm != xn,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_61,plain,
( X1 = sz00
| sdtpldt0(X1,X2) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,negated_conjecture,
sdtpldt0(esk3_0,esk2_0) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_26]),c_0_38]),c_0_17])]) ).
cnf(c_0_63,negated_conjecture,
( xm = X1
| sdtpldt0(xn,X1) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_29]),c_0_16])]) ).
cnf(c_0_64,negated_conjecture,
sdtpldt0(xn,sdtpldt0(xm,esk3_0)) = sdtpldt0(xm,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_58]),c_0_29])]) ).
cnf(c_0_65,negated_conjecture,
aNaturalNumber0(sdtpldt0(xm,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_58]),c_0_29]),c_0_17])]) ).
cnf(c_0_66,negated_conjecture,
sdtpldt0(xm,esk3_0) != xm,
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_59,c_0_48]),c_0_15]),c_0_17]),c_0_16])]),c_0_60]) ).
cnf(c_0_67,negated_conjecture,
esk3_0 = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_38]),c_0_17])]) ).
cnf(c_0_68,negated_conjecture,
sdtpldt0(xm,sz00) = xm,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_44]),c_0_15]),c_0_45]),c_0_17])]) ).
cnf(c_0_69,negated_conjecture,
sdtpldt0(xm,xn) != sdtpldt0(xm,xm),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]),c_0_66]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_67]),c_0_68]),c_0_57]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM459+2 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n008.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 00:35:58 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.47/2.08 % Version : CSE_E---1.7
% 2.47/2.08 % Problem : theBenchmark.p
% 2.47/2.08 % SZS status Theorem for theBenchmark.p
% 2.47/2.08 % SZS output start CNFRefutation
% See solution above
% 2.47/2.09 % Total time : 1.372s
%------------------------------------------------------------------------------