TSTP Solution File: NUM845+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM845+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 12:30:48 EDT 2023
% Result : Theorem 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 74 ( 9 unt; 0 def)
% Number of atoms : 159 ( 101 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 163 ( 78 ~; 70 |; 2 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 35 (; 34 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [Vd416] :
( vmul(vsucc(vd411),Vd416) = vplus(vmul(vd411,Vd416),Vd416)
=> vmul(vsucc(vd411),vsucc(Vd416)) = vplus(vmul(vd411,vsucc(Vd416)),vsucc(Vd416)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [Vd416] :
( vmul(vsucc(vd411),Vd416) = vplus(vmul(vd411,Vd416),Vd416)
=> vmul(vsucc(vd411),vsucc(Vd416)) = vplus(vmul(vd411,vsucc(Vd416)),vsucc(Vd416)) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [Vd413] :
( vmul(vsucc(vd411),Vd413) = vplus(vmul(vd411,Vd413),Vd413)
=> vplus(vplus(vmul(vd411,Vd413),vd411),vsucc(Vd413)) = vplus(vmul(vd411,vsucc(Vd413)),vsucc(Vd413)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [Vd413] :
( vmul(vsucc(vd411),Vd413) = vplus(vmul(vd411,Vd413),Vd413)
=> vplus(vmul(vd411,Vd413),vplus(vd411,vsucc(Vd413))) = vplus(vplus(vmul(vd411,Vd413),vd411),vsucc(Vd413)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Vd413] :
( vmul(vsucc(vd411),Vd413) = vplus(vmul(vd411,Vd413),Vd413)
=> vplus(vmul(vd411,Vd413),vsucc(vplus(vd411,Vd413))) = vplus(vmul(vd411,Vd413),vplus(vd411,vsucc(Vd413))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Vd413] :
( vmul(vsucc(vd411),Vd413) = vplus(vmul(vd411,Vd413),Vd413)
=> vplus(vmul(vd411,Vd413),vplus(vsucc(vd411),Vd413)) = vplus(vmul(vd411,Vd413),vsucc(vplus(vd411,Vd413))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Vd413] :
( vmul(vsucc(vd411),Vd413) = vplus(vmul(vd411,Vd413),Vd413)
=> vplus(vplus(vmul(vd411,Vd413),Vd413),vsucc(vd411)) = vplus(vmul(vd411,Vd413),vplus(Vd413,vsucc(vd411))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Vd413] :
( vmul(vsucc(vd411),Vd413) = vplus(vmul(vd411,Vd413),Vd413)
=> vmul(vsucc(vd411),vsucc(Vd413)) = vplus(vmul(vsucc(vd411),Vd413),vsucc(vd411)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,plain,
? [Vd416] :
( vmul(vsucc(vd411),Vd416) = vplus(vmul(vd411,Vd416),Vd416)
& vmul(vsucc(vd411),vsucc(Vd416)) != vplus(vmul(vd411,vsucc(Vd416)),vsucc(Vd416)) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f61,plain,
( vmul(vsucc(vd411),sk0_0) = vplus(vmul(vd411,sk0_0),sk0_0)
& vmul(vsucc(vd411),vsucc(sk0_0)) != vplus(vmul(vd411,vsucc(sk0_0)),vsucc(sk0_0)) ),
inference(skolemization,[status(esa)],[f60]) ).
fof(f62,plain,
vmul(vsucc(vd411),sk0_0) = vplus(vmul(vd411,sk0_0),sk0_0),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f63,plain,
vmul(vsucc(vd411),vsucc(sk0_0)) != vplus(vmul(vd411,vsucc(sk0_0)),vsucc(sk0_0)),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f64,plain,
! [Vd413] :
( vmul(vsucc(vd411),Vd413) != vplus(vmul(vd411,Vd413),Vd413)
| vplus(vplus(vmul(vd411,Vd413),vd411),vsucc(Vd413)) = vplus(vmul(vd411,vsucc(Vd413)),vsucc(Vd413)) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f65,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0)
| vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) ),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f66,plain,
! [Vd413] :
( vmul(vsucc(vd411),Vd413) != vplus(vmul(vd411,Vd413),Vd413)
| vplus(vmul(vd411,Vd413),vplus(vd411,vsucc(Vd413))) = vplus(vplus(vmul(vd411,Vd413),vd411),vsucc(Vd413)) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f67,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0)
| vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0))) = vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0)) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f68,plain,
! [Vd413] :
( vmul(vsucc(vd411),Vd413) != vplus(vmul(vd411,Vd413),Vd413)
| vplus(vmul(vd411,Vd413),vsucc(vplus(vd411,Vd413))) = vplus(vmul(vd411,Vd413),vplus(vd411,vsucc(Vd413))) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f69,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0)
| vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0))) ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f70,plain,
! [Vd413] :
( vmul(vsucc(vd411),Vd413) != vplus(vmul(vd411,Vd413),Vd413)
| vplus(vmul(vd411,Vd413),vplus(vsucc(vd411),Vd413)) = vplus(vmul(vd411,Vd413),vsucc(vplus(vd411,Vd413))) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f71,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0)
| vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0)) = vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f74,plain,
! [Vd413] :
( vmul(vsucc(vd411),Vd413) != vplus(vmul(vd411,Vd413),Vd413)
| vplus(vplus(vmul(vd411,Vd413),Vd413),vsucc(vd411)) = vplus(vmul(vd411,Vd413),vplus(Vd413,vsucc(vd411))) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f75,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0)
| vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))) ),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f78,plain,
! [Vd413] :
( vmul(vsucc(vd411),Vd413) != vplus(vmul(vd411,Vd413),Vd413)
| vmul(vsucc(vd411),vsucc(Vd413)) = vplus(vmul(vsucc(vd411),Vd413),vsucc(vd411)) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f79,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0)
| vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vsucc(vd411),X0),vsucc(vd411)) ),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f171,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f197,plain,
( spl0_0
<=> vmul(vsucc(vd411),sk0_0) = vmul(vsucc(vd411),sk0_0) ),
introduced(split_symbol_definition) ).
fof(f199,plain,
( vmul(vsucc(vd411),sk0_0) != vmul(vsucc(vd411),sk0_0)
| spl0_0 ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,plain,
( spl0_1
<=> vplus(vplus(vmul(vd411,sk0_0),vd411),vsucc(sk0_0)) = vplus(vmul(vd411,vsucc(sk0_0)),vsucc(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f201,plain,
( vplus(vplus(vmul(vd411,sk0_0),vd411),vsucc(sk0_0)) = vplus(vmul(vd411,vsucc(sk0_0)),vsucc(sk0_0))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( vmul(vsucc(vd411),sk0_0) != vmul(vsucc(vd411),sk0_0)
| vplus(vplus(vmul(vd411,sk0_0),vd411),vsucc(sk0_0)) = vplus(vmul(vd411,vsucc(sk0_0)),vsucc(sk0_0)) ),
inference(paramodulation,[status(thm)],[f62,f65]) ).
fof(f204,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f203,f197,f200]) ).
fof(f205,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f199]) ).
fof(f206,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f205]) ).
fof(f209,plain,
vmul(vsucc(vd411),sk0_0) = vplus(sk0_0,vmul(vd411,sk0_0)),
inference(paramodulation,[status(thm)],[f62,f171]) ).
fof(f212,plain,
vmul(vsucc(vd411),vsucc(sk0_0)) != vplus(vsucc(sk0_0),vmul(vd411,vsucc(sk0_0))),
inference(paramodulation,[status(thm)],[f171,f63]) ).
fof(f241,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(X0,vmul(vd411,X0))
| vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0))) = vplus(vplus(vmul(vd411,X0),vd411),vsucc(X0)) ),
inference(forward_demodulation,[status(thm)],[f171,f67]) ).
fof(f242,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(X0,vmul(vd411,X0))
| vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0))) = vplus(vsucc(X0),vplus(vmul(vd411,X0),vd411)) ),
inference(forward_demodulation,[status(thm)],[f171,f241]) ).
fof(f243,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(X0,vmul(vd411,X0))
| vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0))) = vplus(vsucc(X0),vplus(vd411,vmul(vd411,X0))) ),
inference(forward_demodulation,[status(thm)],[f171,f242]) ).
fof(f244,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(X0,vmul(vd411,X0))
| vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) = vplus(vmul(vd411,X0),vplus(vd411,vsucc(X0))) ),
inference(forward_demodulation,[status(thm)],[f171,f69]) ).
fof(f281,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(X0,vmul(vd411,X0))
| vplus(vmul(vd411,X0),vplus(vsucc(vd411),X0)) = vplus(vmul(vd411,X0),vsucc(vplus(vd411,X0))) ),
inference(forward_demodulation,[status(thm)],[f171,f71]) ).
fof(f293,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(X0,vmul(vd411,X0))
| vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))) ),
inference(forward_demodulation,[status(thm)],[f171,f75]) ).
fof(f294,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(X0,vmul(vd411,X0))
| vplus(vsucc(vd411),vplus(vmul(vd411,X0),X0)) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))) ),
inference(forward_demodulation,[status(thm)],[f171,f293]) ).
fof(f295,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(X0,vmul(vd411,X0))
| vplus(vsucc(vd411),vplus(X0,vmul(vd411,X0))) = vplus(vmul(vd411,X0),vplus(X0,vsucc(vd411))) ),
inference(forward_demodulation,[status(thm)],[f171,f294]) ).
fof(f301,plain,
( vplus(vsucc(sk0_0),vplus(vmul(vd411,sk0_0),vd411)) = vplus(vmul(vd411,vsucc(sk0_0)),vsucc(sk0_0))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f171,f201]) ).
fof(f302,plain,
( vplus(vsucc(sk0_0),vplus(vd411,vmul(vd411,sk0_0))) = vplus(vmul(vd411,vsucc(sk0_0)),vsucc(sk0_0))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f171,f301]) ).
fof(f303,plain,
( vplus(vsucc(sk0_0),vplus(vd411,vmul(vd411,sk0_0))) = vplus(vsucc(sk0_0),vmul(vd411,vsucc(sk0_0)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f171,f302]) ).
fof(f335,plain,
vplus(vmul(vd411,sk0_0),vplus(vd411,vsucc(sk0_0))) = vplus(vsucc(sk0_0),vplus(vd411,vmul(vd411,sk0_0))),
inference(resolution,[status(thm)],[f209,f243]) ).
fof(f336,plain,
( vplus(vmul(vd411,sk0_0),vplus(vd411,vsucc(sk0_0))) = vplus(vsucc(sk0_0),vmul(vd411,vsucc(sk0_0)))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f303,f335]) ).
fof(f337,plain,
( spl0_10
<=> vplus(vsucc(vd411),vplus(sk0_0,vmul(vd411,sk0_0))) = vplus(vmul(vd411,sk0_0),vplus(sk0_0,vsucc(vd411))) ),
introduced(split_symbol_definition) ).
fof(f338,plain,
( vplus(vsucc(vd411),vplus(sk0_0,vmul(vd411,sk0_0))) = vplus(vmul(vd411,sk0_0),vplus(sk0_0,vsucc(vd411)))
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( vmul(vsucc(vd411),sk0_0) != vmul(vsucc(vd411),sk0_0)
| vplus(vsucc(vd411),vplus(sk0_0,vmul(vd411,sk0_0))) = vplus(vmul(vd411,sk0_0),vplus(sk0_0,vsucc(vd411))) ),
inference(paramodulation,[status(thm)],[f209,f295]) ).
fof(f341,plain,
( ~ spl0_0
| spl0_10 ),
inference(split_clause,[status(thm)],[f340,f197,f337]) ).
fof(f347,plain,
( spl0_12
<=> vplus(vmul(vd411,sk0_0),vplus(vsucc(vd411),sk0_0)) = vplus(vmul(vd411,sk0_0),vsucc(vplus(vd411,sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f348,plain,
( vplus(vmul(vd411,sk0_0),vplus(vsucc(vd411),sk0_0)) = vplus(vmul(vd411,sk0_0),vsucc(vplus(vd411,sk0_0)))
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( vmul(vsucc(vd411),sk0_0) != vmul(vsucc(vd411),sk0_0)
| vplus(vmul(vd411,sk0_0),vplus(vsucc(vd411),sk0_0)) = vplus(vmul(vd411,sk0_0),vsucc(vplus(vd411,sk0_0))) ),
inference(paramodulation,[status(thm)],[f209,f281]) ).
fof(f351,plain,
( ~ spl0_0
| spl0_12 ),
inference(split_clause,[status(thm)],[f350,f197,f347]) ).
fof(f352,plain,
( spl0_13
<=> vplus(vmul(vd411,sk0_0),vsucc(vplus(vd411,sk0_0))) = vplus(vmul(vd411,sk0_0),vplus(vd411,vsucc(sk0_0))) ),
introduced(split_symbol_definition) ).
fof(f353,plain,
( vplus(vmul(vd411,sk0_0),vsucc(vplus(vd411,sk0_0))) = vplus(vmul(vd411,sk0_0),vplus(vd411,vsucc(sk0_0)))
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( vmul(vsucc(vd411),sk0_0) != vmul(vsucc(vd411),sk0_0)
| vplus(vmul(vd411,sk0_0),vsucc(vplus(vd411,sk0_0))) = vplus(vmul(vd411,sk0_0),vplus(vd411,vsucc(sk0_0))) ),
inference(paramodulation,[status(thm)],[f209,f244]) ).
fof(f356,plain,
( ~ spl0_0
| spl0_13 ),
inference(split_clause,[status(thm)],[f355,f197,f352]) ).
fof(f371,plain,
( vplus(vsucc(vd411),vmul(vsucc(vd411),sk0_0)) = vplus(vmul(vd411,sk0_0),vplus(sk0_0,vsucc(vd411)))
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f209,f338]) ).
fof(f372,plain,
( vplus(vmul(vd411,sk0_0),vplus(sk0_0,vsucc(vd411))) = vplus(vmul(vd411,sk0_0),vsucc(vplus(vd411,sk0_0)))
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f171,f348]) ).
fof(f398,plain,
( vplus(vsucc(vd411),vmul(vsucc(vd411),sk0_0)) = vplus(vmul(vd411,sk0_0),vsucc(vplus(vd411,sk0_0)))
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f371,f372]) ).
fof(f408,plain,
( vplus(vsucc(vd411),vmul(vsucc(vd411),sk0_0)) = vplus(vmul(vd411,sk0_0),vplus(vd411,vsucc(sk0_0)))
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f398,f353]) ).
fof(f409,plain,
( vplus(vsucc(vd411),vmul(vsucc(vd411),sk0_0)) = vplus(vsucc(sk0_0),vmul(vd411,vsucc(sk0_0)))
| ~ spl0_1
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f336,f408]) ).
fof(f461,plain,
( vmul(vsucc(vd411),vsucc(sk0_0)) != vplus(vsucc(vd411),vmul(vsucc(vd411),sk0_0))
| ~ spl0_1
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f409,f212]) ).
fof(f534,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(X0,vmul(vd411,X0))
| vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vsucc(vd411),X0),vsucc(vd411)) ),
inference(forward_demodulation,[status(thm)],[f171,f79]) ).
fof(f535,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(X0,vmul(vd411,X0))
| vmul(vsucc(vd411),vsucc(X0)) = vplus(vsucc(vd411),vmul(vsucc(vd411),X0)) ),
inference(forward_demodulation,[status(thm)],[f171,f534]) ).
fof(f536,plain,
( vmul(vsucc(vd411),sk0_0) != vplus(sk0_0,vmul(vd411,sk0_0))
| ~ spl0_1
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f535,f461]) ).
fof(f537,plain,
( vmul(vsucc(vd411),sk0_0) != vmul(vsucc(vd411),sk0_0)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f209,f536]) ).
fof(f538,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_equality_resolution,[status(esa)],[f537]) ).
fof(f539,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f538]) ).
fof(f540,plain,
$false,
inference(sat_refutation,[status(thm)],[f204,f206,f341,f351,f356,f539]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM845+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n020.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 09:49:43 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.58 % Elapsed time: 0.043091 seconds
% 0.17/0.58 % CPU time: 0.032046 seconds
% 0.17/0.58 % Memory used: 5.940 MB
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