TSTP Solution File: NUM494+3 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM494+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 : Wed May 31 12:29:23 EDT 2023
% Result : Theorem 1.89s 0.61s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 28
% Syntax : Number of formulae : 105 ( 19 unt; 0 def)
% Number of atoms : 324 ( 71 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 362 ( 143 ~; 137 |; 55 &)
% ( 17 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 48 (; 42 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)
| sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )
=> W1 = W2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( sdtlseqdt0(W0,W1)
| ( W1 != W0
& sdtlseqdt0(W1,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> ( ( W0 != W1
& sdtlseqdt0(W0,W1) )
=> ! [W2] :
( aNaturalNumber0(W2)
=> ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1)
& sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))
& sdtpldt0(W0,W2) != sdtpldt0(W1,W2)
& sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,hypothesis,
( xp != sz00
& xp != sz10
& ! [W0] :
( ( aNaturalNumber0(W0)
& ( ? [W1] :
( aNaturalNumber0(W1)
& xp = sdtasdt0(W0,W1) )
| doDivides0(W0,xp) ) )
=> ( W0 = sz10
| W0 = xp ) )
& isPrime0(xp)
& ? [W0] :
( aNaturalNumber0(W0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,W0) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,hypothesis,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,hypothesis,
( xr != xn
& ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(xr,W0) = xn )
& sdtlseqdt0(xr,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,conjecture,
( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& ( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),W0) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
~ ( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& ( ? [W0] :
( aNaturalNumber0(W0)
& sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),W0) = sdtpldt0(sdtpldt0(xn,xm),xp) )
| sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f52,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f53,plain,
sz10 != sz00,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f54,plain,
! [W0,W1] :
( ~ aNaturalNumber0(W0)
| ~ aNaturalNumber0(W1)
| aNaturalNumber0(sdtpldt0(W0,W1)) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f55,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f78,plain,
! [W0,W1,W2] :
( ~ aNaturalNumber0(W0)
| ~ aNaturalNumber0(W1)
| ~ aNaturalNumber0(W2)
| ( sdtpldt0(W0,W1) != sdtpldt0(W0,W2)
& sdtpldt0(W1,W0) != sdtpldt0(W2,W0) )
| W1 = W2 ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f103,plain,
! [W0,W1] :
( ~ aNaturalNumber0(W0)
| ~ aNaturalNumber0(W1)
| ~ sdtlseqdt0(W0,W1)
| ~ sdtlseqdt0(W1,W0)
| W0 = W1 ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f104,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f107,plain,
! [W0,W1] :
( ~ aNaturalNumber0(W0)
| ~ aNaturalNumber0(W1)
| sdtlseqdt0(W0,W1)
| ( W1 != W0
& sdtlseqdt0(W1,W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f107]) ).
fof(f110,plain,
! [W0,W1] :
( ~ aNaturalNumber0(W0)
| ~ aNaturalNumber0(W1)
| W0 = W1
| ~ sdtlseqdt0(W0,W1)
| ! [W2] :
( ~ aNaturalNumber0(W2)
| ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1)
& sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))
& sdtpldt0(W0,W2) != sdtpldt0(W1,W2)
& sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f110]) ).
fof(f167,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f168,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f180,plain,
( xp != sz00
& xp != sz10
& ! [W0] :
( ~ aNaturalNumber0(W0)
| ( ! [W1] :
( ~ aNaturalNumber0(W1)
| xp != sdtasdt0(W0,W1) )
& ~ doDivides0(W0,xp) )
| W0 = sz10
| W0 = xp )
& isPrime0(xp)
& ? [W0] :
( aNaturalNumber0(W0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,W0) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(pre_NNF_transformation,[status(esa)],[f41]) ).
fof(f181,plain,
( xp != sz00
& xp != sz10
& ! [W0] :
( ~ aNaturalNumber0(W0)
| ( ! [W1] :
( ~ aNaturalNumber0(W1)
| xp != sdtasdt0(W0,W1) )
& ~ doDivides0(W0,xp) )
| W0 = sz10
| W0 = xp )
& isPrime0(xp)
& aNaturalNumber0(sk0_5)
& sdtasdt0(xn,xm) = sdtasdt0(xp,sk0_5)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(skolemization,[status(esa)],[f180]) ).
fof(f182,plain,
xp != sz00,
inference(cnf_transformation,[status(esa)],[f181]) ).
fof(f187,plain,
aNaturalNumber0(sk0_5),
inference(cnf_transformation,[status(esa)],[f181]) ).
fof(f194,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f195,plain,
sdtpldt0(xp,xr) = xn,
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f197,plain,
( xr != xn
& aNaturalNumber0(sk0_7)
& sdtpldt0(xr,sk0_7) = xn
& sdtlseqdt0(xr,xn) ),
inference(skolemization,[status(esa)],[f44]) ).
fof(f198,plain,
xr != xn,
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f201,plain,
sdtlseqdt0(xr,xn),
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f206,plain,
( sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ( ! [W0] :
( ~ aNaturalNumber0(W0)
| sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),W0) != sdtpldt0(sdtpldt0(xn,xm),xp) )
& ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f47]) ).
fof(f208,plain,
( sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(cnf_transformation,[status(esa)],[f206]) ).
fof(f223,plain,
( spl0_0
<=> sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ),
introduced(split_symbol_definition) ).
fof(f224,plain,
( sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f230,plain,
( spl0_2
<=> sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(split_symbol_definition) ).
fof(f232,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| spl0_2 ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( spl0_0
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f208,f223,f230]) ).
fof(f246,plain,
( spl0_3
<=> aNaturalNumber0(xp) ),
introduced(split_symbol_definition) ).
fof(f248,plain,
( ~ aNaturalNumber0(xp)
| spl0_3 ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,plain,
( spl0_4
<=> aNaturalNumber0(xr) ),
introduced(split_symbol_definition) ).
fof(f251,plain,
( ~ aNaturalNumber0(xr)
| spl0_4 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( spl0_5
<=> aNaturalNumber0(xn) ),
introduced(split_symbol_definition) ).
fof(f255,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr)
| aNaturalNumber0(xn) ),
inference(paramodulation,[status(thm)],[f195,f55]) ).
fof(f256,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f255,f246,f249,f252]) ).
fof(f257,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f251,f194]) ).
fof(f258,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f248,f168]) ).
fof(f260,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f259]) ).
fof(f334,plain,
( spl0_18
<=> aNaturalNumber0(xm) ),
introduced(split_symbol_definition) ).
fof(f336,plain,
( ~ aNaturalNumber0(xm)
| spl0_18 ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f342,plain,
( spl0_20
<=> aNaturalNumber0(sdtpldt0(xr,xm)) ),
introduced(split_symbol_definition) ).
fof(f344,plain,
( ~ aNaturalNumber0(sdtpldt0(xr,xm))
| spl0_20 ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f369,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f336,f167]) ).
fof(f370,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f369]) ).
fof(f381,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| spl0_20 ),
inference(resolution,[status(thm)],[f344,f55]) ).
fof(f382,plain,
( ~ spl0_4
| ~ spl0_18
| spl0_20 ),
inference(split_clause,[status(thm)],[f381,f249,f334,f342]) ).
fof(f418,plain,
( spl0_33
<=> xr = xn ),
introduced(split_symbol_definition) ).
fof(f419,plain,
( xr = xn
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f501,plain,
( spl0_43
<=> sdtlseqdt0(xn,xr) ),
introduced(split_symbol_definition) ).
fof(f503,plain,
( ~ sdtlseqdt0(xn,xr)
| spl0_43 ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ sdtlseqdt0(xn,xr)
| xn = xr ),
inference(resolution,[status(thm)],[f104,f201]) ).
fof(f505,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_43
| spl0_33 ),
inference(split_clause,[status(thm)],[f504,f252,f249,f501,f418]) ).
fof(f525,plain,
( spl0_47
<=> sdtlseqdt0(xr,xn) ),
introduced(split_symbol_definition) ).
fof(f565,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f419,f198]) ).
fof(f566,plain,
~ spl0_33,
inference(contradiction_clause,[status(thm)],[f565]) ).
fof(f629,plain,
( spl0_61
<=> aNaturalNumber0(sdtpldt0(xn,xm)) ),
introduced(split_symbol_definition) ).
fof(f631,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl0_61 ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f798,plain,
( spl0_81
<=> sdtpldt0(xr,xm) = sdtpldt0(xn,xm) ),
introduced(split_symbol_definition) ).
fof(f799,plain,
( sdtpldt0(xr,xm) = sdtpldt0(xn,xm)
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,plain,
( spl0_82
<=> sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm)) ),
introduced(split_symbol_definition) ).
fof(f803,plain,
( ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
| spl0_82 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| sdtpldt0(xr,xm) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(xr,xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xp)
| spl0_2 ),
inference(resolution,[status(thm)],[f114,f232]) ).
fof(f805,plain,
( ~ spl0_20
| ~ spl0_61
| spl0_81
| ~ spl0_82
| ~ spl0_3
| spl0_2 ),
inference(split_clause,[status(thm)],[f804,f342,f629,f798,f801,f246,f230]) ).
fof(f965,plain,
( spl0_100
<=> aNaturalNumber0(sz10) ),
introduced(split_symbol_definition) ).
fof(f967,plain,
( ~ aNaturalNumber0(sz10)
| spl0_100 ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,plain,
( spl0_101
<=> sz10 = sz00 ),
introduced(split_symbol_definition) ).
fof(f969,plain,
( sz10 = sz00
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f978,plain,
( $false
| spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f967,f52]) ).
fof(f979,plain,
spl0_100,
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f980,plain,
( $false
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f969,f53]) ).
fof(f981,plain,
~ spl0_101,
inference(contradiction_clause,[status(thm)],[f980]) ).
fof(f999,plain,
( spl0_105
<=> aNaturalNumber0(sk0_5) ),
introduced(split_symbol_definition) ).
fof(f1001,plain,
( ~ aNaturalNumber0(sk0_5)
| spl0_105 ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,plain,
( spl0_106
<=> xp = sz00 ),
introduced(split_symbol_definition) ).
fof(f1003,plain,
( xp = sz00
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1030,plain,
( $false
| spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f1001,f187]) ).
fof(f1031,plain,
spl0_105,
inference(contradiction_clause,[status(thm)],[f1030]) ).
fof(f1032,plain,
( $false
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f1003,f182]) ).
fof(f1033,plain,
~ spl0_106,
inference(contradiction_clause,[status(thm)],[f1032]) ).
fof(f1051,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl0_61 ),
inference(resolution,[status(thm)],[f631,f55]) ).
fof(f1052,plain,
( ~ spl0_5
| ~ spl0_18
| spl0_61 ),
inference(split_clause,[status(thm)],[f1051,f252,f334,f629]) ).
fof(f1138,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| sdtpldt0(xr,xm) = sdtpldt0(xn,xm)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f224,f80]) ).
fof(f1139,plain,
( ~ spl0_3
| ~ spl0_20
| ~ spl0_61
| spl0_81
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f1138,f246,f342,f629,f798,f223]) ).
fof(f1229,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| sdtlseqdt0(xr,xn)
| spl0_43 ),
inference(resolution,[status(thm)],[f503,f109]) ).
fof(f1230,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_47
| spl0_43 ),
inference(split_clause,[status(thm)],[f1229,f249,f252,f525,f501]) ).
fof(f2080,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| xr = xn
| ~ sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(xm)
| spl0_82 ),
inference(resolution,[status(thm)],[f803,f114]) ).
fof(f2081,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_33
| ~ spl0_47
| ~ spl0_18
| spl0_82 ),
inference(split_clause,[status(thm)],[f2080,f249,f252,f418,f525,f334,f801]) ).
fof(f2122,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| xr = xn
| ~ spl0_81 ),
inference(resolution,[status(thm)],[f799,f80]) ).
fof(f2123,plain,
( ~ spl0_18
| ~ spl0_4
| ~ spl0_5
| spl0_33
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f2122,f334,f249,f252,f418,f798]) ).
fof(f2222,plain,
$false,
inference(sat_refutation,[status(thm)],[f233,f256,f258,f260,f370,f382,f505,f566,f805,f979,f981,f1031,f1033,f1052,f1139,f1230,f2081,f2123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM494+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 30 10:16:47 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 1.89/0.61 % Refutation found
% 1.89/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.89/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.15/0.63 % Elapsed time: 0.295176 seconds
% 2.15/0.63 % CPU time: 2.211410 seconds
% 2.15/0.63 % Memory used: 83.001 MB
%------------------------------------------------------------------------------